Jaime can spend at most $15 today. He buys a drink and a bag of Takis for
$1.59. If gasoline costs $2.89 per gallon, how many gallons of gasoline can
Jaime afford to put in his car?

Answers

Answer 1

Answer:

Jaime can afford 4.6 gallons of gas in his car


Related Questions

A dirt bike has been marked down 12% and now costs $4286.70. What was the original cost?

Answers

Answer:

$4871.25

Step-by-step explanation:

You know that the dirt bike has been "marked down," so to find the percentage of the original cost, subtract 0.12 from 1 to get 0.88. Then, define x as the original cost, and set up an equation:

0.88x = 4286.70

You know that 4286.70 is 88% of the original cost, so 0.88 times the original cost will equal the marked down cost. Now, divide both sides by 0.88 to get the answer:

x = 4871.25

Six pumps working together empty a tank in 28 minutes. How long will it take to empty the tank if 4

such pumps are working together?

Answers

Answer:

prob more time ngl

Step-by-step explanation:

2a^2 +7ab-15b^2
please solve the answer fast​

Answers

Answer:

(2a - 3b) (a + 5b)

hope this helps!

For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast

Answers

Correct statements are:

a) A square can be thought of as a special rectangle.

d) Squares, rectangles, and parallelograms are all quadrilaterals.

e) A square is also a parallelogram.

Incorrect statements are:

b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.

c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.

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For every 2 apples in Kali’s orchard, there are 4 pears. In Sam’s orchard, there are 10 pears for every 5 apples. If the number of pears is proportional to the number of apples, what is the constant of proportionality

Answers

Answer:

ggycv

Step-by-step explanation:

In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.

Answers

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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1. Is 5(x+1) the same as 5x+1? Explain your
answer.

2. Write the expression one other way.

Answers

Answer:

Step-by-step explanation:

5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

Answers

Step-by-step explanation:

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

644 = 12a + 200

444 = 12a

a = 37

Select the correct answer from each drop-down menu. interpret the histogram of gretchen’s data you created in part a. the shape of gretchen’s data can be described as . because of this, the would be the best measure of center for this data set. the actual value for the best measure of center is .

Answers

The shape of Gretchen's data can be described as skewed left.

Because of this, the median is the best measure of the center for this data set.

The actual value for the best measure of center is 9.

We have,

From the histogram of Gretchen's data given,

We see that the shape is left skewed.

In a histogram, left-skewed data refers to a distribution where the tail of the data points extends towards the left side of the graph.

This means that the majority of the data points are concentrated toward the right side of the histogram, and the tail on the left side is longer and thinner.

The median is the mid value of the data set and it is 9 and it is the best measure.

Therefore,

The shape of Gretchen's data can be described as skewed left.

Because of this, the median is the best measure of the center for this data set.

The actual value for the best measure of center is 9.

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The complete question:

The shape of Gretchen's data can be described as ___.

Because of this, the ___ is the best measure of center for this data set.

The actual value for the best measure of center is ___.

Fill in the blanks from the options below.

1st blank: (Skewed left), (Skewed right), (symmetrical)

2nd blank: (mean), (median)

3rd blank: (7), (9), (9.1), (9.6)

Select the correct answer from each drop-down menu. interpret the histogram of gretchens data you created

Morning Donuts has a variety of donuts for sale.
maple donuts
cake donuts
14
15
cream-filled donuts
9
chocolate frosted donuts 11
What is the probability that a randomly selected donut will be a maple donut?
Write your answer as a fraction or whole number.
P(maple donut)
=

Answers

Answer:

here are a total of 14 + 15 + 9 + 11 = 49 donuts.

The probability of selecting a maple donut is the number of maple donuts divided by the total number of donuts:

P(maple donut) = 14/49

So the probability of selecting a maple donut is 14/49, which can also be written as a fraction in simplest form: 2/7.

If the mpc increases in value, what will happen to the slope of the consumption function?

Answers

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.


the median for week 2 is more than the median for week 1.

the mean for week 2 is less than the mean for week 1.

the range for week 1 is more the range for week 2.

the range for week 1 is less than the range for week 2.

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than

Answers

The statement that is true about the dot plots is:  Range for Week 1 equals range for Week 2.

What is the Range of a Data Set?

Range is simply the difference between the highest data point and the lowest data point in a data set.

Range for Week 1:

Range = 89 - 62

= 27

Range for Week 2:

Range = 89 - 62

= 27

The sentence of median and mean doesn't satisfy the situation.

Hence, Range for Week 1 equals range for Week 2.

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A cuanto equivale 17 kilos en libras

Answers

Para convertir 17 kilogramos a libras se multiplica 17 por 2.205, dando como resultado 37.365 libras, y se puede redondear a 37.4 libras si se desea ser más preciso. Es importante tener en cuenta la relación de conversión y la precisión de las cifras al hacer conversiones de unidades de medida.

La conversión de unidades de medida es una habilidad importante en matemáticas y ciencias, y es especialmente útil cuando se trabaja con diferentes sistemas de medición en diferentes países o disciplinas. Una de las conversiones más comunes es la de kilogramos a libras.

Para convertir kilogramos a libras, se utiliza la relación de conversión de 1 kilogramo = 2.205 libras. Entonces, para convertir 17 kilogramos a libras, se multiplica 17 x 2.205 = 37.365 libras.

Es importante recordar que el sistema métrico utiliza el kilogramo como unidad de masa, mientras que el sistema inglés utiliza la libra.

Es importante también tener en cuenta la precisión de la conversión, en general se utilizan las cifras significativas para dar un resultado más preciso, en este caso 37.365 libras se puede redondear a 37.4 libras.

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i need help pls and thank you...

i need help pls and thank you...

Answers

Answer:

AB = 32

Step-by-step explanation:

Since line l bisects AB at point M, we have AM = MB.

\(4x = 5x - 4\)

\(4x + 4 = 5x\)

\(x = 4\)

AM = 4(4) = 16, MB = 5(4) - 4 = 16.

So AB = AM + MB = 16 + 16 = 32.

Identify the type of data (qualitative/quantitative) and the level of measurement for the assets of respondents in a survey. explain your choice.

Answers

Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

What is a Qualitative and a Quantitative Data?

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

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assume that you want to test the claim that the paired sample data come from a population for which the mean difference is Ud=0. compute the value of the test statistic.
x 7 8 4 5 8
y 10 2 9 5 7

Answers

We first calculate the difference between each pair (y-x) which gives 3, -6, 5, 0, -1. We then calculate the sample mean of these differences which is 1.02.

To compute the test statistic, we need to calculate the standard error of the mean difference, which is the standard deviation of the sample differences divided by the square root of the sample size. Using the sample differences, we can calculate the sample standard deviation to be approximately 3.24. With a sample size of 5, the standard error of the mean difference is approximately 1.45.

The test statistic is calculated as the sample mean difference minus the hypothesized population mean difference divided by the standard error of the mean difference. Substituting the values, we get (1.02 - 0) / 1.45 = 0.70. This is our test statistic.

The interpretation of this result depends on the significance level chosen for the test. If we use a significance level of 0.05, which is a commonly used value, we compare the test statistic to the critical value from the t-distribution with four degrees of freedom (one less than the sample size). Using a t-table, we find the critical value to be approximately 2.78. Since our test statistic of 0.70 is less than the critical value, we fail to reject the null hypothesis that the mean difference is 0.

In summary, to test the claim that the paired sample data come from a population for which the mean difference is Ud=0, we calculated the test statistic using the provided data. The test statistic was 0.70, and using a significance level of 0.05 and a t-distribution with four degrees of freedom, we failed to reject the null hypothesis that the mean difference is 0. This suggests that there is not enough evidence to conclude that the mean difference is different from 0.

In simpler terms, we used the given data to see if there is enough evidence to suggest that the average difference between the paired samples is not 0. By calculating the test statistic and comparing it to a critical value, we determined that we cannot reject the null hypothesis that the mean difference is 0. This means that there is not enough evidence to conclude that the mean difference is different from 0, and we cannot say that there is a significant difference between the paired samples.

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This is the same information from the previous question.

The equation for the period of a pendulum is given by T space equals space 2 straight pi square root of straight L over 32 end root where T is the time (in seconds) and L is the length of the pendulum (in feet).

Find the approximate length of a pendulum if its period is 10 seconds.

Answers

The approximate length of the pendulum is 255.96 feet.

What is calculus?

Calculus is a branch of mathematics that deals with the study of change and how things change over time.

We have the equation for the period of a pendulum as:

T = 2π√(L/32)

We need to find the length of the pendulum, L, if the period is 10 seconds. Rearranging the equation, we get:

L = 32(T/2π)²

Substituting T = 10, we get:

L = 32(10/2π)²

L ≈ 255.96 feet

Hence, the approximate length of the pendulum is 255.96 feet.

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max has x dollars. Keisha has four more dollars then max

Answers

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

will the sampling distribution of x always be approximately normally distributed? Explain. Choose the correct answer below 0 ?. Yes, because the Central Limit Theorem states that the sampling distribution of x is always approximately normally distributed O B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough O C. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the population being sampled is normally distributed O D No, because the Central Limit Theorem states that the sampling d bution of x is approximately no aly distribui d only i the sa le sae is mere than 5% of the population.

Answers

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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This past sunday, the Giants scored 9 points less than twice the cowboys. The packers scored 14 more points than the Giants. If the teams scored 81 total points, find the number of points scored by the Packers. Plsss

Answers

Answer:

39 Points

Step-by-step explanation:

Giants = G

Cowboys = C

Packers = P

Packers scored 39 points

17 * 2 = 34

34 - 9 = 25

25 + 14 = 39

Your welcome!

Kayden Kohl

8th Grade

What is i^34?
A. -1
B. -i
C. 1
D. 1

Answers

Answer:

A.-1 all you had to do was look up the answer

Step-by-step explanation:

The answer to the question is A.

Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.

Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the

Answers

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

How to calculate for the area of the polygon

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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⚠️‼️ HELP PLEASE GIVING POINTS A caterer wants to have cylinder water glasses completely full, including three ice cubes. The water is going to be poured first and the ice cubes added once the glasses are on the table. The diameter of the water glass is 3 in and the height is 6 in. The ice cubes are perfect cubes with side lengths of 1.5 in. What volume of water needs to be added so that adding the ice cubes completely fills each glass? Show all work and explain your thought process​

Answers

We need 32.265 cubic inches of water to fill the glass completely, including three ice cubes

First, let's find the volume of the glass without any water or ice. We have been given the diameter, which is 3 inches, so we can find the radius by dividing it by 2.

radius (r) = diameter (d) / 2 = 3 / 2 = 1.5 inches

The height of the glass is also given as 6 inches.

To find the volume of the glass, we can use the formula for the volume of a cylinder, which is V = πr²h.

V (volume of glass) = π(1.5)²(6)

= 42.39 cubic inches

Now, we need to find out how much water we need to fill the glass completely, including three ice cubes. Each ice cube has a side length of 1.5 inches, so its volume is given by V = s³, where s is the side length of the cube.

V (volume of one ice cube) = 1.5³

= 3.375 cubic inches

Since there are three ice cubes, the total volume of ice is 3 x 3.375 = 10.125 cubic inches.

To find the volume of water needed, we need to subtract the volume of the ice from the volume of the glass.

V (volume of water needed) = V (volume of glass) - V (volume of ice)

= 42.39 - 10.125

= 32.265 cubic inches

Therefore, we need 32.265 cubic inches of water to fill the glass completely, including three ice cubes

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Expressions include numbers, variables, and an equal sign.

True

False

Answers

False. Generally, an expression does not contain an equality symbol.  Numbers and/or variables (letters) and operation symbol(s), for example, “x + 10”

A certain car is rated to get 26 miles per gallon. How far can it travel on 12.5 gallons of gas?

Answers

Our car can do 26 miles with one gallon, so, if we have 12.5 gallons, to find how much we can travel we need to make the product of the amount of gallons we have by the amount of milles we can do with one gallon, wich gives us the expression:

\(12.5\times26=325\)

So our car can travel 325 miles with 12.5 gallons of gas.

There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?

Answers

Answer:

SAS theorem

Step-by-step explanation:

Given

Triangles ABC and DEF

\(AB = ED\)

\(AC = DF\)

\(\angle ACB = \angle EFD = 90^{\circ}\)

Required

Which theorem shows the similarity between both triangles

The following can be deduced from the given parameters.

\(AB = ED\) ===> Equal Sides

\(AC = DF\) ===> Equal Sides

\(\angle ACB = \angle EFD = 90^{\circ}\) ===> Equal Angle

This implies that two sides and 1 angle of both triangles are equal.

Hence, the theorem to use is the SAS theorem.

Consider the expressions (5.9 x 106) and (3.2 x 104)
Part A. Find the difference of the expressions (this means to subtract them!)
Part B. Find the product of the expressions (this means to multiply them!)

Answers

Answer:

I think u should check the question ones again

Step-by-step explanation:

but still this is ypur ans

hope it help

mark as brainliest

Consider the expressions (5.9 x 106) and (3.2 x 104)Part A. Find the difference of the expressions (this

What is 1 3/8 - (- 7/8)

Answers

Answer:

9/4

Step-by-step explanation:

1 3/8 - (- 7/8)

1 3/8 + 7/8

9/4

Answer:

\( \frac{9}{4} \)

Step-by-step explanation:

\(1 \frac{3}{8} - ( - \frac{7}{8} ) \\ \frac{1 \times 8 + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8} \\ \frac{11}{8} - ( - \frac{7}{8} ) = \frac{11}{8} + \frac{7}{8} \\ \frac{11 + 7}{8} = \frac{18}{8} \)

\(\boxed{\bold{Answer:{\boxed{\green{\bold{ =\frac{9}{4} }}}}}}\)

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If ABC is an equilateral triangle, then the mA =60

A. If the mA = 60, then ABC is an equilateral triangle.
B. If ABC is not an equilateral triangle, then the mA does not equal 60.
C. If the mA does not equal 60, then ABC is not an equilateral triangle.

Answer is C!

Answers

The true statement from the given options is C. If the mA does not equal 60, then ABC is not an equilateral triangle.

Equilateral triangle:

An equilateral triangle is one in which the angles and all three sides are equal. An equilateral triangle is also called an equiangular triangle since each of its angles has a value of 60 degrees.

The equal angle in an Equilateral triangle = 60°

Here we have 3 options

A. If the mA = 60, then ABC is an equilateral triangle.

B. If ABC is not an equilateral triangle, then the mA does not equal 60.

C. If the mA does not equal 60, then ABC is not an equilateral triangle.    

Here we need to justify which of the given point will be true in the case of Equilateral Triangles.

Given

Option A: If the mA = 60, then ABC is an equilateral triangle.  

With the measurement of A = 60°, here we can't conclude that  ABC is an equilateral triangle because there is a possibility that the remaining angles are not equal to 60°

Option B: If ABC is not an equilateral triangle, then the mA does not equal 60.

Any type of triangle can have an angle that is equal to 60° so the given statement is wrong.  

Option C. If the mA does not equal 60, then ABC is not an equilateral triangle.

As we know each angle of an equilateral triangle is 60°, So it is true that   If the mA does not equal 60, then ABC is not an equilateral triangle.

Therefore,

The true statement from the given options is C. If the mA does not equal 60, then ABC is not an equilateral triangle.

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( x – y ) = 6 and xy = 16 then ( x + y ) = ? a) 100 b)10 c) 22 d) 4 hint : [ (x + y ) = √(x − y) 2 + 4xy]

Answers

10

Take x as 8 and y as 2
Then, 8 - 2 = 6
8 x 2 = 16
So 8 +2=10


Answer:

b

Step-by-step explanation:

(x - y)² = x² - 2xy + y² → (1)

(x + y)² = x² + 2xy + y² → (2)

Subtract (1) from (2)

(x + y)² - (x - y)² = 2xy - (- 2xy) = 2xy + 2xy = 4xy

Add (x - y)² to both sides

(x + y)² = (x - y)² + 4xy ( take the square root of both sides )

x + y = \(\sqrt{(x-y)^2+4xy}\), that is

x + y = \(\sqrt{6^2+4(16)}\) = \(\sqrt{36+64}\) = \(\sqrt{100}\) = 10 → b

Other Questions
the first step to social network building is identifying those___ on whom the project depends for success. Multiply each pair of factors. Type the product inthe space provided(6 + 3)(6 - 31)(4-57)(4+ 5) -(-387)(-3 - 81) - 7.7 Two meshing helical gears are mounted on parallel shafts that have rotational speeds of 1000 and 400 rev/min. The helix angle is 30 and the center distance is 252 mm. The gears have a module of 6 mm. Determine the normal circular pitch and the transverse circular pitch. Also, determine the number of teeth on each gear. 7.8 Two helical gears on parallel shafts have a normal circular pitch of 15 mm and a pitch-line velocity of 4500 mm/s. If the rotational speed of the pinion is 800 rev/min and the number of pinion teeth is 20, what must be the helix angle? Two helical gears on parallel shafts have a normal pressure angle of 20 and a normal module of 6 mm. The center distance is 200 mm and the tooth numbers are 20 and 40. The gear set transmits 50 kW at a pinion speed of 1200 rev/min. Determine the tangen- tial, radial, and thrust loads on the gear teeth, and show these forces on a sketch of the gears. The pinion is right handed and rotates clockwise. 7.16 Two right-hand helical gears with a normal module of 4 mm connect two shafts that are 60 apart. The pinion has 32 teeth and the velocity ratio is. The center distance is 220 mm. Determine the helix angles of the two gears. a) How does the s-shape of the spine help the body in case of impact? b) Why does the axial strength of the spine increase as we go down from top to bottom? c) Which ligament group in the spine is more susceptible to injury? Why? d) What is the risk of over fill in percutaneous vertebroplasty? e) Explain shear thinning of the articular cartilage. f) If articular cartilage is compressed, highest strain will be at the surface then it will decrease. Explain why. 3/4 + 1/2 + 1/3 + 2/9 + ....... = 9/4 es verdadero oh falso y como se resuelve ? The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi. a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full? victor can speak ilocano very well bacoause he lived in vigan Juanita makes $30 an hour at work. She has to take time off work to purchase her dress, so each hour away from work costs her $30 in lost income. Assume that returning to work takes Juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. As you answer the following questions, ignore the cost of gasoline and depreciation of her car when traveling. A "habanera" is a slow, religious song sung in the mass of the Roman Catholic church. People responding to surveys or interviews tend to want to present themselves in a good light, thus reducing the accuracy of their responses. This is called the _____ response. Given a unit step function u(t), its time derivative is: Select one: a. Unit impulse. b. A sine function c. Another step function d. A unit ramp function x(t)=2cos(6(pl)t+ pl/6) Select one: a. T=10 sec ,f=0.1 Hz b. T=0.16 sec ,f=6 Hz c. T=0.33 sec ,f=3 Hz The x(bt) is a compressed version of x(t) if: Select one: a. b greater than 1 b. b between 0 and 1 c. b=1 d. b less than 1 Z Space, Incorporated, is a new company and currently has negative earnings. The company's sales are $1.7 million and there are 145,000 shares outstanding. a. If the benchmark price-sales ratio for the company is 5.7, how much will you pay for the stock? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. If the benchmark price-sales ratio for the company is 5.1, how much will you pay for the stock? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g. 32.16. Give three examples of possible age-based conflicts in the workplace according to vernon's product life-cycle theory, while demand for a product is starting to grow rapidly in the united states, demand for the product in other countries is limited to On 23 March 20XX, the All Ordinaries Index closed at 5820.7 points and the June 20XX SPI 200 futures was priced at 5794 points. A speculator believes that share prices are likely to fall and so decides to sell June 20XX SPI 200 futures. On 17 April 20XX, when the All Ordinaries Index increases to 5841.5 points and the June 20XX SPI 200 futures increases to 5818 points, the speculator decides to reverse her position. How much profit / loss does the speculator make? a) -$600 b) $600 c) $520 d) -$520 e) none of these answers Suppose f(x, y, z) = xyz3 +e(y=x2) (a) At the point (-1,1,2), find the direction in which the maximum rate of change of f(x,y,z) occurs. (b) What is the maximum rate of change of the function at the point (-1,1,2)? Enter your answer in the blank blow. Round your answer to two decimal places. which of the following statements about cardiac cycle is right ? question 7 options: a) right atrium and right ventricle contract at the same time. b) left ventricle contracts after the contraction of right ventricle. c) left and right ventricles contract at the same time. d) left atrium and left ventricle contract at the same time. mim2F= Gd21. Calculate the force of gravity on a 1-kg mass at Earth'ssurface. The mass of Earth is 6.0 x 1024 kg, and its radiusis 6.4 X 106 m.2. Calculate the force of gravity on the same 1-kg mass if itwere 6.4 X 10 m above Earth's surface (that is, if it were[Wo Earth radii from Earth's center).3. Calculate the force of gravity between Earth (mass =6.0 X 1024 kg) and the Moon (mass = 7.4 X 1022 kg).The average Earth-Moon distance is 3.8 x 108 m.4. Calculate the force of gravity between Earth and the Sun(the Sun's mass = 2.0 X 10% kg average Earth-Sundistance = 1.5 X 10" m).5. Calculate the force of gravity between a newborn baby(mass = 3 kg) and the planet Mars (mass = 6.4 X102 kg) when Mars is at its closest to Earth (distance =5.6 x 1010 m).6. Calculate the force of gravity between a newborn baby ofmass 3 kg and the obstetrician of mass 100 kg, who is0.5 m from the baby. Which exerts more gravitationalforce on the baby, Mars or the obstetrician? By how much? It was at first impossible for anyone to realize what had actually happened. The smoke and fumes hid everything from sight, and hundreds of men were thrown into a comatose or dying condition, and within an hour the whole position had to be abandoned, together with about fifty guns. -British Field Marshal Sir John French, report on the second battle 2. Violin is the leader and heart of the orchestra.True or false??