What is the slope of the line containing (-2, 5) and (4, -4)?

Answer:

-4100

Step-by-step explanation:

STEP ONE:

5500-4800(2)

STEP TWO:

5500-9600

STEP THREE:

Get -4100.

So, the answer is -4100.

Given:

The distance between 63 feet above sea level and 48 feet below sea level.

To find:

The ​absolute value expression for the given situation.

Solution:

We have,

Distance above the sea level = 63 feet

Distance below the sea level = -48 feet

Here, negative sign represents the distance in below the sea level.

So, absolute value expression that can be written to determine the distance between 63 feet above sea level and 48 feet below sea level is

\(Distance=|63-(-48)|\)

\(Distance=|63+48|\)

\(Distance=|111|\)

\(Distance=111\)

Therefore, the required absolute expression is \(|63-(-48)|\) and distance is 111 feet.

Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

https://brainly.com/question/16604112

#SPJ4

125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

Learn more about ratio here

https://brainly.com/question/16604112

#SPJ4

The value of the missing sides are

x = -12

y = 109

z = -102

Consecutive Interior Angles: These are the angles that are on the same side of the transversal and inside the parallelogram. They are supplementary, which means their sum is 180 degrees.

-z + 1 + 77 = 180

-z = 180 - 1 - 77

-z = 102

z = -102

Alternate Interior Angles: These are the angles that are on opposite sides of the transversal and inside the parallelogram. They are also congruent, meaning they have the same measure.

y - 6 = -z + 1

y - 6 = 102 + 1

y = 103 + 6

y = 109

Also

-6x + 5 = 77

-6x = 77 - 5

-6x = 72

x = -12

Learn more about parallelogram at

https://brainly.com/question/20526916

#SPJ1

Answer: The answer is 2.6 gallons

Step-by-step explanation:

10 liters contain 2.6 gallons.

Given that,
3 liters is approximately 0.78 gallons,
To determine how many gallons are in 10 liters to be .

In mathematics, it deals with numbers of operations according to the statements.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here, the volume of 3 liters is approximately equal to 0.78 gallons. So,
3 liters = 0.78 gallons
dividing by 3 both sides
1 liter = 0.78 / 3 gallons
Multiply by 10 on both sides
10 liters = 10 * 0.78 / 3 gallons
10 liters = 2.6 gallons

It implies a volume of 10 liters contains 2.6 gallons

Thus 10 liters contain 2.6 gallons.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

The required equation of the line is y = x + 1

One of the common ways to describe the equation of a line is in the slope-intercept form of the line. You may use this formula to determine a line's equation given its slope and y-intercept.

The Slope intercept form of a line is y = mx + c,

where m is slope and c is the y-intercept

Here we have

Points (1, 2) and (2, 3)

The Slope intercept form of a line is y = mx + c,

As we know, Slope (m) = (y₂ - y₁)/(x₂ - x₁)  

=> Slope of required line = (3 - 2)/(2 - 1) = 1/1 = 1

=> Slope, m = 1

The equation of the line will be: y = (1)x + c,

=> y = x + c

Since (1, 2) passes through the line

=> 2 = 1 + c

=> c = 1

then the equation will be y = x + 1  

Therefore,

The required equation of the line is y = x + 1  

Learn more about the Slope intercept form at

brainly.com/question/17878329  

#SPJ1

Answer:

18

Step-by-step explanation:

Because you have to add 11 to 7 and the equals 18. I hope that helped! :)

First, we need to determine the polynomial p that fits the data (X,Y) using the polyfit function in Matlab. Since we have three data points, we will fit a quadratic polynomial of the form:

p(x) = c2x^2 + c1x + c0

where c2, c1, and c0 are the coefficients we want to find. Using the polyfit function with a degree of 2 (since we want a quadratic polynomial), we can find the coefficients as follows:

p = polyfit(X, Y, 2)

This gives us p = [9 -5 -2], which means that:

p(x) = 9x^2 - 5x - 2

Next, we want to evaluate this polynomial at z = 1 using the polyval function:

q = polyval(p, z)

This gives us q = 2, which means that:

q = p(1)z^2 + p(2)z + p(3) = 91^2 - 51 - 2 = 2

So the value of q is 2.

Finally, we want to find the value of dq, which is the derivative of q with respect to x evaluated at x = z. Since q is a quadratic polynomial, its derivative is a linear function:

dq/dx = 18*x - 5

So we can evaluate dq at z = 1 as:

dq = 18*1 - 5 = 13

Therefore, the value of dq is 13 (to three decimal places).

Learn more about linear function here:

https://brainly.com/question/20286983

#SPJ11

Answer:

196

Step-by-step explanation:

2 times 14 times 7=196

Hope this helps!

Answer: 40:20 simplified version is 2:1.

Step-by-step explanation: The real answer is 40:20, but the simplified is 2:1 (to get simplified divide 40 by 20 which is two and divide 20 by 20 which is 1).

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

Know more about quadrilateral here:

https://brainly.com/question/29934440

#SPJ11

Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Answer:

144

your welcome :)

Answer:

To fine the surface area is to add all the area of the faces

The standard form of a quadratic function is given by f(x) = ax^2 + bx + c.

To turn the given function into standard form, we need to expand and simplify the expression. Using the distributive property, we get:

f(x) = -0.089(x^2 - 6.6x - 90.266)

Next, we can distribute the -0.089:

f(x) = -0.089x^2 + 0.5874x + 8.033174

So the given function in standard form is:

f(x) = -0.089x^2 + 0.5874x + 8.033174

In standard form, the quadratic function is written as a polynomial in descending order of powers of x, where the coefficient of the x^2 term is non-negative.

Learn more about quadratic here

https://brainly.com/question/1214333

#SPJ11

Answer:

  121°

Step-by-step explanation:

Angle AQD can be considered to be a sort of degenerate inscribed angle in which the circle intercept at Q is coincident with the vertex at Q. As an inscribed angle, it has half the measure of the central angle it intercepts. That central angle is reflex angle QOA, corresponding to arc QPA, which has a measure of 242°.

  ∠AQD = 242°/2 = 121°

Answer:

2

Step-by-step explanation:

Reflection over y axis rule

(x,y) --------> (-x,y)

Rule explained:

Simply change the sign of the x value and keep the y value as it it

Coordinates of A (-4,0)

Apply reflection over y axis rule

(-4,0) -----> (4,0)

Next we want to apply a translation with the rule ( x - 5 , y + 2 )

Explanation of rule:

Simply subtract 5 from the x value and add 2 to the y value

Current coordinates of A (4,0)

Apply translation rule

(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )

The y value of coordinate A would be 2 after all of the transformations

Answer:

(9,8)

Step-by-step explanation:

Solve the first equation

then solve the second equation with the substitute number from the first equation.  

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

To learn more about Sand and water refer to:

https://brainly.com/question/29407326

#SPJ1

Answer:

6000

Step-by-step explanation:

first you do 40000-28000 =12000 that means we have 12000 left

12000÷2 because the shirt equals 2 to give 6000

The power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.

Given data:

Temperature limits: 86°F at the ocean surface and 41°F at a depth of 2100 ft.

Cooling water temperature rise = 9°F

Thermal efficiency = 2.5%

Amount of cold seawater pumped = 13,300 gpm

Density of seawater = 64 Ibm/ft³

Specific heat of water = c = 1.0 Btu/lbm-°F

Solution: We have to find the amount of power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987. Power is given by the following equation:

Power = Q × ρ × c × (T₂ - T₁) × η

Here, Q = Mass flow rate of cold seawater

= 13,300 gpm

= 13,300 × 60 × 24

= 19,152,000 lb/day

ρ = Density of seawater

= 64 Ibm/ft³

c = Specific heat of water

= 1.0 Btu/lbm-°F

T₁ = Temperature of seawater at depth

= 41°F

T₂ = Rise in temperature of seawater

= 9°F,

T₂ = T₁ + 9

= 41 + 9

= 50°F

Temperature difference (T₂ - T₁) = 50 - 41

= 9°F

Efficiency of the power plant,

η = 2.5%

= 0.025

Substitute all the values in the equation:

Power = 19,152,000 × 64 × 1.0 × 9 × 0.025

= 448,992 kW (approx)

Therefore, the amount of power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.

Conclusion: Thus, the power generated by the Ocean Thermal Energy Conversion (OTEC) power plant built in Hawaii in 1987 is 448 99 kW.

To know more about power visit

https://brainly.com/question/29575208

#SPJ11

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

To learn more about mean from the given link:

brainly.com/question/31101410

#SPJ1

Answer:

the third one

Step-by-step explanation:

To solve the given problems related to total federal receipts, we first find the growth ratio (k) using the base year and the value of the exponential function. Then, using the growth ratio, we estimate the total federal receipts in 2015 and determine the year when the total federal receipts reach $313 trillion.

(a) To find the growth ratio (k), we need to use the given exponential function f(t) = b. Using the base year, we have f(1) = 0. Therefore, substituting the values, we get b = k^4. Solving for k, we find k = 0.

(b) To estimate the total federal receipts in 2015, we use the growth ratio from part (a). Since k = 0, there is no growth, and the total federal receipts in 2015 would be the same as in the base year, which is $0.

(c) To determine the year when the total federal receipts reach $313 trillion, we use the growth ratio obtained in part (a). Since k = 0, there is no growth, and the total federal receipts will never reach $313 trillion.

In summary, according to the given information, the growth ratio is 0, resulting in no change in total federal receipts. Therefore, the total federal receipts in 2015 would be $0, and they will never reach $313 trillion as there is no growth.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ11

Explanation:

The left and right edges of the box represent Q1 and Q3 respectively

Q1 = first quartile

Q3 = third quartile

The boxplot shows Q3 = 54

The span from Q3 to the max represents exactly 25% of the population.

Take 25% of the 23 employees

0.25*23 = 5.75

Rounding to the nearest whole number leads to 6.

96% confidence interval for the population mean life of light bulbs produced by the electrical firm to be between 747.63 and 812.37 hours. This can be answered by the concept of standard deviation.

To calculate the confidence interval, we first need to determine the standard error of the mean, which can be calculated using the formula:

Standard Error of Mean = (Standard Deviation of Population) / sqrt(Sample Size)

In this case, the standard deviation of the population is given as 40 hours, and the sample size is 30. Thus, the standard error of the mean can be calculated as:

Standard Error of Mean = 40 / sqrt(30) = 7.32

Next, we need to find the critical value of t for a 96% confidence level with 29 degrees of freedom (n-1). Using a t-distribution table or calculator, we find this to be 2.048.

Using these values, we can calculate the confidence interval using the formula:

Confidence Interval = Sample Mean +/- (Critical Value * Standard Error of Mean)

Substituting the given values, we get:

Confidence Interval = 780 +/- (2.048 * 7.32) = 780 +/- 15.02

Therefore, the 96% confidence interval for the population mean life of light bulbs produced by the electrical firm is between 747.63 and 812.37 hours. This means we can be 96% confident that the true mean life of all light bulbs produced by the firm falls within this interval.

To learn more about standard deviation here:

brainly.com/question/23907081#

#SPJ11

Answer:

GCF is 8

32x - 24 = 8(4x - 3)

Step-by-step explanation:

To find the area of the surface, we will use the formula. Therefore, the area of the surface is $\frac{4\pi}{3}(b^2-a^2)$.

$A=\iint\limits_{S},dS$

where $S$ is the surface of the sphere inside the cylinder.

Since the surface of the sphere and the cylinder are both symmetric about the $z$-axis, we can use cylindrical coordinates.

$x=r\cos\theta, y=r\sin\theta, z=z$

The sphere has the equation $x^2+y^2+z^2=b^2$, so substituting the cylindrical coordinates we get:

$r^2+z^2=b^2$

The cylinder has the equation $x^2+y^2=a^2$, so substituting the cylindrical coordinates we get:

$r^2=a^2$

The limits of integration for $r$ are from $0$ to $a$, and for $\theta$ are from $0$ to $2\pi$. The limits of integration for $z$ are from $-\sqrt{b^2-r^2}$ to $\sqrt{b^2-r^2}$.

$A=\int\limits_{0}^{2\pi}\int\limits_{0}^{a}\sqrt{1+(\frac{\partial z}{\partial r})^2+(\frac{\partial z}{\partial\theta})^2},r,dr,d\theta$

$\frac{\partial z}{\partial r}=\frac{-r}{\sqrt{b^2-r^2}}$, and $\frac{\partial z}{\partial\theta}=0$.

$A=\int\limits_{0}^{2\pi}\int\limits_{0}^{a}\sqrt{1+\frac{r^2}{b^2-r^2}},r,dr,d\theta$

Letting $u=\frac{r^2}{b^2-r^2}$, we have $\frac{du}{dr}=\frac{2b^2}{(b^2-r^2)^2}$, and so $du=\frac{2b^2}{(b^2-r^2)^2},r,dr$. Substituting $u$ and $du$ we get:

$A=\int\limits_{0}^{2\pi}\int\limits_{0}^{\frac{a^2}{b^2-a^2}}\sqrt{1+u},du,d\theta$

Using the substitution $v=1+u$, we get $dv=du$, and so:

$A=\int\limits_{0}^{2\pi}\int\limits_{1}^{1+\frac{a^2}{b^2-a^2}}\sqrt{v},dv,d\theta$

$A=\int\limits_{0}^{2\pi}\frac{2}{3}(1+\frac{a^2}{b^2-a^2})^{\frac{3}{2}},d\theta$

$A=\frac{4\pi}{3}(b^2-a^2)$

Therefore, the area of the surface is $\frac{4\pi}{3}(b^2-a^2)$.

Visit here to learn more about cylindrical coordinates:

brainly.com/question/31046653

#SPJ11

Answer: figure it out yourself bi*ch

Step-by-step explanation:

The fraction 5/20 can be simplified to 1/4 .

To enter the fraction 5/20, we have to follow these steps:

1. Write the numerator (the number on top) first, which is 5.

2. Use a forward slash (/) to separate the numerator and the denominator (the number on the bottom).

3. Write the denominator next, which is 20.

So, you will enter the fraction as 5/20.

However, it is important to reduce the fraction to its simplest form if possible. In this case, both the numerator and denominator can be divided by 5, which gives you the reduced fraction 1/4.

To know more about fraction refer here:
https://brainly.com/question/6201432

#SPJ11