One of the longest commercial aircraft in use today is 203 feet in length. Another airplane manufacturer decides to build an airplane that is approximately 51% of this length. Use compatible numbers to estimate the length of the plane built by the other manufacturer.

Answer:

Store 1 Has a better deal as your paying 1.50 less which is 50 percent off

Step-by-step explanation:

Lets say a DVD costs 1.50

so if you bought 2 for the price of one it would be 1.50

3 for the price of 2 would be 3 dollars.

If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars

3 CDS for the price of 3 would be 4.50

The Amount of money depends on the cost of 1 CD.

Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.

sorry if this was confusing^^

(a) The equation of the standing wave Yᵣ can be determined by adding the two given wave equations:

Yᵣ = y₁ + y₂ = (8 cm)sin[π(x + t)] + (8 cm)sin[π(x - t)]

(b) To find the value of Yᵣ at x = 6/1 m and t = 3/1 s, substitute these values into the equation of the standing wave:

Yᵣ(6/1, 3/1) = (8 cm)sin[π(6/1 + 3/1)] + (8 cm)sin[π(6/1 - 3/1)]

(c) To determine the x-positions of the first 3 nodes of the standing wave, we need to find the values of x where the amplitude of the standing wave is zero. Nodes occur at points where the sum of the two sine functions in the equation of the standing wave equals zero. We can set each term to zero individually and solve for x:

For the first node:

(8 cm)sin[π(x + t)] + (8 cm)sin[π(x - t)] = 0

For the second node:

(8 cm)sin[π(x + t)] = 0

For the third node:

(8 cm)sin[π(x - t)] = 0

Solving these equations will give us the x-positions of the first three nodes of the standing wave.

Explanation:

(a) The equation of the standing wave Yᵣ is obtained by adding the displacements of the two individual waves y₁ and y₂. When two waves with the same amplitude, frequency, and wavelength but traveling in opposite directions superpose, they create a standing wave pattern. In a standing wave, certain points called nodes remain stationary while other points called antinodes oscillate with maximum displacement. Adding the two given wave equations results in the equation for the standing wave Yᵣ.

(b) To find the value of Yᵣ at a specific point (x, t), we substitute the given values of x and t into the equation of the standing wave. In this case, we substitute x = 6/1 m and t = 3/1 s into Yᵣ and evaluate the expression. The resulting value represents the displacement of the standing wave at that particular point.

(c) Nodes are the points in a standing wave where the displacement is zero. To find the x-positions of the first three nodes, we set the equation of the standing wave equal to zero and solve for x. This involves setting each term in the equation individually to zero and finding the corresponding x-values. The solutions to these equations give us the x-positions of the first three nodes of the standing wave, which represent the locations where the amplitude of the wave is minimum or zero.

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Answer:

D: 15.75

A: -14.84

C: x = 11

Step-by-step explanation:

Two negatives make a positive, do 7.2 + 8.55 and you will get 15.75. If it's easier, do -10.5 + -4.34 to get -14.84. For number three you have to distribute 1/2 to x and 1 to get 0.5x + 0.5 = -5. Subtract -0.5 on both sides to get 0.5x = 5.5. Divide 0.5 from both sides to get 11.

Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: \(\sqrt[3]{200} =2\sqrt[3]{25}\)

Hope this helps!

The mass of a banana is about C. 150 g.

A can of cola would be around A. 300 ml.

From the options, the best estimate for the mass of a banana is 150 g. This is because 1. 5 kg is much too heavy for a single banana which makes 15 kg ridiculously heavy. 15 g would be too light however as this is the mass of about 6 pennies.

There are several quantities for a can of cola, and they are all in 100s of milliliteters. The most likely quantity of a can of cola from the options is therefore 300 ml.

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Answer:

C.  \(f(x)=(x+1)^2-4\)

Step-by-step explanation:

A. the graph is a straight line with slope 1.  It goes up/down infinitely far so the range is all real numbers.  Not A!

B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers.  Not B!

D. The graph is an absolute value function  y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units.  So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units.  The range is all real numbers less than or equal to -4.

See the attached graphs.  image2 is the function in answer choice D.

Answer:

\(4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you\)

Answer: c = -2

Step-by-step explanation:

Given

4 (3 + c) + c = c + 4

Expand parentheses and apply the distributive property

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

Combine like terms

12 + (4c + c) = c + 4

12 + 5c = c + 4

Subtract 12 on both sides

12 + 5c - 12 = c + 4 - 12

5c = c - 8

Subtract c on both sides

5c - c = c - 8 - c

4c = -8

Divide 4 on both sides

4c / 4 = -8 / 4

\(\boxed{c=-2}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 0.781 acres

Step-by-step explanation:

The strawberry field covers 3 1/8 acres = 25/8 acres

New plants cover 1/4 of those acres

We need to find how many acres are covered by new strawberry plants. Let it is x.

\(x=3\dfrac{1}{8}\times \dfrac{1}{4}\\\\=\dfrac{25}{8}\times \dfrac{1}{4}\\\\=0.781\ \text{acres}\)

So, the new plant covers 0.781 acres by the strawberry plants.

Answer:

use a ruler for the chicken foot and the bucket and u can write the number for the length of it

Step-by-step explanation:

you have to measure the bucket so I couldn't see the rest but you can use a rule to measure the length of it

Step-by-step explanation:

Having bucket list that we want to accomplish before we die, is basically showing that we have goals that might seem impossible to accomplish. These goals show how much we appreciate what we see around us.

The inequality which represents the range of actual weights w (in ounces) of the tub of toothpaste is :

option d) 3.25 ≤ w ≤ 3.75

Given:

the indicated weight on a tube of toothpaste is 3.5 ounces.

the actual weight varies by up to 0.25 ounce.

Thus the lowest weight might be:

3.5 - 0.25 = 3.25 ounces

The highest weight might be:

3.5 + 0.25 = 3.75 ounces
Thus the range is:

3.25 ≤ w ≤ 3.75

Hence we get the required range.

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The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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A downward sloping pattern in a scatter plot for a set of data implies that when the independent variable increases, the dependent variable decreases.

A scatter plot is a graphical representation of data points where each point represents the values of two variables. The horizontal axis usually represents the independent variable, while the vertical axis represents the dependent variable. In a scatter plot, the pattern formed by the data points can reveal the relationship between the two variables.
When the scatter plot exhibits a downward sloping pattern, it indicates a negative or inverse relationship between the variables. This means that as the independent variable increases, the dependent variable tends to decrease. This negative relationship suggests that there is an inverse correlation between the two variables. It implies that there is a systematic tendency for the values of the dependent variable to decrease as the values of the independent variable increase.
Therefore, a downward sloping pattern in a scatter plot indicates that when the independent variable increases, the dependent variable decreases, suggesting a negative relationship between the two variables.

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A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called arithmetic process.

The four basic operations of mathematics are addition, subtraction, multiplication and division. We call this group of four operations "arithmetic". Arithmetic is defined by the four most basic operations in mathematics. These four operations are the most basic, but that doesn't mean they're always easy to perform. In other words, arithmetic ranges from very simple things like 1 + 1 to very complex and complex things. It all depends on the context in which a person is working, but when we are dealing with one of the four operations of addition, subtraction, multiplication or division we are dealing with so-called arithmetic operations in mathematics.

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Complete question:

A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called:________.

Answer:

0

Step-by-step explanation:

According to  PEMDAS: parenthesis, exponents, multiplication, division, addition, subtraction

Do we have parenthesis? NO

Do we have exponents? YES 10^3=10x10x10=1,000

Are new expression is 8x1,000x

Do we have multiplication? Yes 8x1,000=8,000

Are new expression is 8,000x

Answer:

4 hours

Step-by-step explanation:

3.6 / .8

Answer:

Step-by-step explanation:

Feb 8, 2017 - an=12n(n+1). Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial ...

1 answer

a) The number of donations collected by Organization A and B  represents linear function and C has exponential growth function

b) Average rate of change of A and B is 4

   Average rate of change of C is 121.3333

c) The rate of change of a linear function is constant, while the rate of change of an exponential function is always increasing .

d) The numbers of donations collected by the three organizations increasing as the time increases

A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.

a) The number of donations collected by Organization A and B  represents  linear function and C has exponential growth function

b)   Average rate of change = ( f(x2) -f(x1) ) /( x2 - x1) ------(1)

    x1 = 0,  x2= 6

Organization  A and B:

f(6)= 24 ,  f(0) = 0

(1) =>  Average rate of change = (24-0)/(6-0) = 24/6 = 4

Organization  C:

f(6)= 729, ( y-coordinate  3 times the previous y-coordinate ),   f(0) = 1

(1) =>  Average rate of change = ( 729 -1)/(6-0) = 728/ 6 = 121.333

c) The rate of change of a linear function is constant, while the rate of change of an exponential function is always increasing .

d) The numbers of donations collected by the three organizations increasing as the time increases

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The probabilities are given as follows:

a) Both: 0.24.

b) Neither: 0.24.

c) Only Mary: 0.36.

d) Mary or Burt: 0.76.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

For both people, we multiply the probabilities, hence:

0.6 x 0.4 = 0.24.

For neither people, we multiply the complement of the probabilities,  hence:

(1 - 0.6) x (1 - 0.4) = 0.24.

For only Mary, we have that:

(1 - 0.4) x 0.6 = 0.36.

For at least one, we subtract the total of 1 from neither, hence:

1 - 0.24 = 0.76.

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Answer: 7

Step-by-step explanation: because

Answer:

8x + 36

Step-by-step explanation:

Answer:

8 and 36

Step-by-step explanation:

A) The probability that you will share in the first prize pool is calculated to be 0.000000049.

B)The probability that you will share n the second or in the third prize pool is calculated to be 0.0625.

It is given that 6 numbers are drawn from a set of numbers containing a set of 1 to 52 numbers.

The number of possibilities of selecting 6 numbers from a set of 52 is,

n(s) = 52C₆ = 52!/(46! × 6!) = 20358520

Let E represent the likelihood of getting the prize.

Number of possibility of winning first prize is only 1.

n(E) = 1

So, the probability of winning first prize is n(E)/n(s) = 1/20358520 = 0.000000049

B) If four or five of the six numbers are drawn in the second or third prize pool,

n(s) = 6C₅ + 6C₄ = 1 + 15 = 16

The probability that you will share in the second or third in the third prize pool is,

n(E) = 1 (As it is second or third prize and not both at once)

n(s) = 16

So, the probability of winning second or third prize is n(E)/n(s) = 1/16 = 0.0625

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Answer:

7 up is greatt

3000 * 5000 is 15,000,000

Step-by-step explanation:

7 up is great theres no explanation

The Brewster's angle for an air-glass (n=1.58) surface is approximately 56.309 degrees.

Brewster's angle is the angle of incidence at which light with a specific polarization, known as p-polarization, is perfectly transmitted through a transparent dielectric surface, with no reflection.

The formula for Brewster's angle is:

θB = arctan(n)

Where θB is Brewster's angle and n is the refractive index of the second medium (in this case, glass).

Substituting n=1.58, we get:

θB = arctan(1.58)

Using a calculator, we find:

θB ≈ 56.309°

Therefore, the Brewster's angle for an air-glass (n=1.58) surface is approximately 56.309 degrees.

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a. The input range where there may be significant errors in evaluation is when x is very large or very small.

b. The input range where there may be significant errors in evaluation is when x is very close to multiples of π.

For a, In these cases, significant figures may be lost in the subtraction of two nearly equal numbers (√x and -√x, and 1/x and -1/x). To avoid this error, we can simplify the expression to 0.

For b, This is because the sine function has a maximum error of 1 in the vicinity of these points, which can cause cancellation errors in the subtraction of 1 and sin x. To avoid this error, we can use the identity:

This expression avoids subtraction and reduces error using the more stable cosine function.

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Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

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The pharmacist should mix 200 milliliters of 10% solution with 400 milliliters of 25% solution to get 600 milliliters of a 20% solution.

Let x be the number of milliliters of 10% solution required, and y be the number of milliliters of 25% solution required to make 600 milliliters of a 20% solution.

Then, the total amount of the solution is given by x + y = 600.

Also, the amount of the solute in the 10% solution is 0.1x, and the amount of the solute in the 25% solution is 0.25y. Therefore, the amount of the solute in the final 20% solution is 0.2(600) = 120.

This gives the second equation 0.1x + 0.25y = 120.

Solving these two equations simultaneously, we get:

x + y = 600 → y = 600 - x

0.1x + 0.25y = 120

Substituting the value of y from the first equation into the second equation gives:

0.1x + 0.25(600 - x) = 120

Simplifying and solving for x, we get:

0.1x + 150 - 0.25x = 120

-0.15x = -30

x = 200

Therefore, the pharmacist should mix 200 milliliters of 10% solution with 400 milliliters of 25% solution to get 600 milliliters of a 20% solution.

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Let the price before tax = x

The tax rate = 4% = 4/100 = 0.04

So, the total price = x + 0.04 x = 1.04 x

Given : the price after tax = $20

So, 1.04 x = 20

solve for x:

Rounding the answer to nearest cent

So, the price before tax = $19.23

7/3 t^(3/2) + C This equation represents the volume of water in the tank as a function of time t.

The equation r(t) = 7t √ represents the rate at which water is flowing into the tank, measured in cubic feet per hour, at time t after 9:00am. The expression 7t √ means that the rate of flow increases over time, starting at 0 cubic feet per hour at t = 0 and increasing as t increases.

To find the volume of water in the tank at a specific time t after 9:00am, we can integrate the rate of flow over the time interval from 9:00am to t. The volume of water in the tank at time t can be expressed as:

V(t) = ∫ r(t) dt from 9:00am to t

= ∫ 7t √ dt from 0 to t

= 7/3 t^(3/2) + C

where C is an arbitrary constant of integration. This equation represents the volume of water in the tank as a function of time t.

Therefore, 7/3 t^(3/2) + C This equation represents the volume of water in the tank as a function of time t.

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