order the numbers 21 , 40, and 42 from least to greatest based on how many numbers are in their prime factorization.
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9514 1404 393

Answer:

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

26 to 18

26 cause that's the number of kids goin g to the field trip to 18 cause that's all the kids staying

look up the fomulas and plug stuff in

Step-by-step explanation:

different between each value is 4

The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function below

g(x) = (x − 2)^3 + 6

The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

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Answer:

g(x) is shifted 6 units to the left and 2 units down.

Step-by-step explanation:

took the test

a) Using simultaneous equations, the amount of calling when the two plans cost the same is 1,450 minutes.

b) Solving the system of equations, the cost when the two plans cost the same (1,450 minutes) is $1,305.

We use a system of equations to derive the amount of calling (x in minutes) required for the cost to be the same.

A system of equations (simultaneous equations) involves two or more equations solved together.

Using the determined minutes, we can solve each equation to find the total cost of each plan as $1,305.

                                    Plan A   Plan B

Fixed cost                      $29        $0

Variable cost per min.  $0.07    $0.09

Let the total cost of Plan A = 29 + 0.07x

Let the total cost of Plan B = 0 + 0.09x

Let x = minutes of calls

For the two plans to have the same cost: 29 + 0.07x = 0.09x

0.09x = 29 + 0.07x

0.09x - 0.07x = 29

0.02x = 29

x = 1,450 minutes

Plan A = 29 + 0.07(1,450) = $1,305

Plan B = 0.09(1,450) = $1,305

Thus, using equations, the two call plans will have the same cost ($1,305) when each is used to call for 1,450 minutes.

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Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

w=7.25

Step-by-step explanation:

w + 1.5 = 8.75

1.5 - 8.75 = w

Answer:

3. y=6x/5+7/5

4.y=2x+2

5.

Step-by-step explanation:

Answer:

3) m = 6/5

4) m = 2

5) y = 3x + 2

6) y = -2x - 3

Step-by-step explanation:

To find slope for questions 3 and 4, use formula below⤵⤵⤵

\( \frac{y _{2} - y _{1} }{x _{2} - x _{1}} \)

3) 5-(-1) ➡ 5+1 ➡ 6

3-(-2) ➡ 3+2 ➡ 5

4) -8-4 ➡ -12 ➡ 12 12÷6 = 2

-5-1 ➡ -6 ➡ 6

For questions 5 and 6, find the y-intercept first, which is the point in which the line crosses the y-axis. From then you can use rise/run to find the slope.

Hope this helps :)

\(\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}\)

\(\\ \sf\longmapsto 15x=42(10)\)

\(\\ \sf\longmapsto 15x=420\)

\(\\ \sf\longmapsto x=\dfrac{420}{15}\)

\(\\ \sf\longmapsto x=28\)

Answer:

7x+5y

Step-by-step explanation:

put the like terms of x together and like terms of y and then add

Answer:

7x+10y

Step-by-step explanation:

you just simplify it

YOUR INPUT:

\(T-Re^{x}\)

FIRST DERIVATIVE:

 \(\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}\)

Root/zero found at:

\(x=ln(\frac{T}{R} )\)

Answer:

Step-by-step explanation:

You really should object to this question. Technically, none of the answers are correct. The dot is blacked in. Therefore it includes the endpoint.

Either ≤ or ≥ should be used.

Now that I have finished nit picking, the closest answer is

10x ≤ -5   Divide by 10

10x/10 ≤ -5/10

x ≤ -0.5

The closest answer is a.

=====================

w + 125.2 = 255              Subtract 125.2 from both sides

w = 255 - 125.2

w = 129.8

Answer:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Step-by-step explanation:

Information provided

\(\bar X=74.1\) represent the sample mean

\(s=13.1\) represent the sample standard deviation

\(n=50\) sample size  

\(\mu_o =72\) represent the value that we want to test

\(\alpha=0.1\) represent the significance level

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 72\)  

Alternative hypothesis:\(\mu > 72\)  

The statistic is given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing the info we got:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Answer:

1

Step-by-step explanation:

:)..................

Answer:

is this helpful

Step-by-step explanation:

0.012,0.12,1.2,12

Answer:

0.012, 0.12, 1.2, 12

Step-by-step explanation:

Look at where the point is located to help figure out the order

Answer:

\(3x^{3}+3x^{2}-11x+3\)

Step-by-step explanation:

f(x) + g(x) = \(8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17\)

To make this equation a little less long, we combine like terms

\((8-5)x^{3}+(7-4)x^{2}-11x+(20-17)\)

or just

\(3x^{3}+3x^{2}-11x+3\)

Applying the Chain Rule, the derivatives are given as follows:

The function Z is defined as follows:

z = x^7y^7.

The variables x and y are functions of variables s and t, as follows:

Hence the derivative of z as a function of s is given as follows:

∂z/∂s = (dz/dx)(dx/ds) + (dz/dy)(dy/ds).

Hence, applying the derivative rules for the exponents, and for the exponents, we have that:

\(\frac{\partial z}{\partial s} = 7x^6y^7\cos{(t)} + 7y^6x^7\sin{(t)} = 7x^6y^6(y\cos{t} + x\sin{t})\)

Replacing the values of x and y, we have that:

\(\frac{\partial z}{\partial s} = 7(s\cos{t})^6(s\sin(t))^6(y\cos{t} + x\sin{t})\)

We follow the same logic as above, only that now the inside derivatives, that is, the derivatives of x and y, are as function of t and not of s, hence:

∂z/∂t = (dz/dx)(dx/dt) + (dz/dy)(dy/dt).

Then:

\(\frac{\partial z}{\partial t} = -7x^6y^7s\sin{(t)} + 7y^6x^7s\cos{(t)} = 7sx^6y^6(-y\sin{t} + x\cos{t})\)

Then, replacing x and y as functions of s and t, we have that:

\(\frac{\partial z}{\partial t} = -7x^6y^7s\sin{(t)} + 7y^6x^7s\cos{(t)} = 7s(s\cos{t})^6(s\sin{t})^6(-y\sin{t} + x\cos{t})\)

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

$25,226

Step-by-step explanation:

We know that one billion is equal to 1,000 millions

So, we first multiply 80.8 by 1,000 so we can use millions as our unit.

Which gives you $80,800

So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694

Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.

Hence, our answer is $25,226

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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