Shira needs to hire a small car for one day.
She sees two adverts for car hire.
Shira estimates that she needs to drive 80km.
Which car hire company should she choose and why?
Elite cars
Small cars, daily rate
($0.30 ×number of km driven ) + $25
Cars 4 hire
Small cars, cost per day
($0.25 ×number of km driven) + $35

a. if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T. b. in linear algebra, where understanding the behavior of linear transformations on subspaces is crucial.

(a) If ⊆ null T, then is invariant under T.

To prove that is invariant under T, we need to show that for any x ∈ , T(x) is also in . Since ⊆ null T, we know that T(x) = 0 for all x ∈ . Thus, if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T.

(b) If range T ⊆ , then is invariant under T.

To prove that is invariant under T, we need to show that for any x ∈ , T(x) is also in . Since range T ⊆ , we know that T(x) ∈ for all x ∈ . Thus, if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T.

In summary, if ⊆ null T, then is invariant under T, and if range T ⊆ , then is invariant under T. These results are important in linear algebra, where understanding the behavior of linear transformations on subspaces is crucial.

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To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

The ratio of the area of the two similar figures is 9 : 16.

Based on the question above, by comparing side shape 1 with side shape 2.

6 : (6+2)

6 : 8

3 : 4

For the ratio of area between the two figures, you can square each one.

3 : 4 = 3² : 4² = 9 : 16

Similar polygons have the same angles and proportional sides. "Proportional" means that the lengths occur in equal proportions (e.g., if the base of triangle 1 is twice the length of the shortest side of triangle 1, then the base of triangle 2 is the length of triangle 2). twice the length of the shortest side).

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The probability that 3 out of 5 inspected trailer trucks will have no violations, 1 will have 1 violation, and 1 will have 2 or more violations is 0.50 * 0.50 * 0.50 * 0.40 * 0.10 = 0.005.

1. Calculate the probability of a trailer truck having no violations: 0.50.

2. Calculate the probability of a trailer truck having 1 violation: 0.40.

3. Calculate the probability of a trailer truck having 2 or more violations: 0.10.

4. Multiply the probabilities together for the desired outcome: 0.50 * 0.50 * 0.50 * 0.40 * 0.10 = 0.005.

Therefore, the probability that 3 out of 5 inspected trailer trucks will have no violations, 1 will have 1 violation, and 1 will have 2 or more violations is 0.005.

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Explanation:

If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.

This means plugging x = -2 into the cubic expression will have it result in zero.

x^3- kx^2 +3x+7k = y

(-2)^3- k*(-2)^2 +3*(-2)+7k = 0

-8 - 4k - 6 + 7k = 0

3k - 14 = 0

3k = 14

k = 14/3

Part (a)

See the diagram below for the net for this box. We have two rhombuses that are the two bases of the rhombic prism. The six rectangles form the lateral sides.

In geometry, a net is effectively the outer surface of a 3D object, but it has been laid flat on a plane. Think of unwrapping a present without throwing any pieces away. The net would be the wrapping laid out flat. As another example, a net of a cardboard box would be laying the box flat. So you're unfolding the box. This is mentioned in part (b).

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

Part (b)

The main difference from this net compared to a net for a cardboard box is that everything is a rectangle for a cardboard box. This is because a cardboard box folds up into a rectangular prism.

So in the diagram below, you'll replace each rhombus with a rectangle. You'll make all four angles 90 degrees.

Answer:

x=5 .........................................

Answer:

Step-by-step explanation:

Store A price is 20x-7

store B price is 4(5x+7)

Where x represents the number of items.

Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7

Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions

y=20x-7

y=20x+28

Observe that both Stores have already the same rate, which is  20.

Therefore, they have the same rate at any number of items dry cleaned.

What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..

The answer choice which represents a table which represents a linear and proportional relationship is; Choice C ; whose y-intercept is 0.

With respect to relationships, two variables are said to be proportional if the y-intercept of the relation between them is 0.

here, we have,

The answer represents a linear relationship that is also proportional

Hence, y = kx represents a proportional relationship where k is the constant of proportionality.

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Answer:

-9

Step-by-step explanation:

They all follow the same sequence such as -9 for ex 47-9 is 38

Answer:

-18

Step-by-step explanation:

because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58

if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18

Answer:

  x=100

Step-by-step explanation:

2x + 100 = 300

    -100    -100

---------------------

     2x =  200

     ----    -----

      2       2

       x=100

Answer:

1)  502.65"

2) 367.57 yd

3)  141.37'  

4) 471.24'

Step-by-step explanation:

Formula: volume of a cylinder = πr²h

1) v= πr²h                     2) v= πr²h                      

  v= π x 4² x 10                v= π x 3² x 13

  v=  502.65"                   v= 367.57 yd

3) v= πr²h                       4) v= πr²h

    v=  π x 3² x 5                 v= π x 5² x 6

     v= 141.37'                       v= 471.24'

I hope this helped

Answer:

1. 502.5 \(in^{3}\)

2. 367.38 \(yd^{3}\)

3. 141.3 \(cm^{3}\)

4. 471 \(cm^{3}\)

Step-by-step explanation:

The solution to finding the volume of a cylinder is: \(\pi r^{2} h\).

They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.

We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!

3.14 · \(4^{2}\) · 10 = 502.5

So, the volume of the first cylinder is 502.5\(in^{3}\)

This, hopefully explains how to find the volume of the rest of the cylinders!! :)

Hope this helps!! <3

Answer:

$53.25

Step-by-step explanation:

Answer:

6^2

Step-by-step explanation:

Answer:

6 ** 2

Step-by-step explanation:

becuase you can't use ^ in python you use ** to square.

The conversion value of the given quantity 58 percentage in decimals is equal to 0.58.

One percentage converted to decimals is written as :

1 percentage = ( 1 / 100 )

                      =  ( 0.01 )

Now Get the value in decimals for 58 percentage using conversion factor we have ,

= 58 percentage

= ( 58 / 100 )

= ( 0.58 ) in decimal form

Therefore, the value which we get after conversion of percentage to decimals is equal to 58 percentage = 0.58 in decimals.

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Answer:

176.7 for 20 and 201.1 for 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

one solution with a y value of 5

Step-by-step explanation:

/| x+y-4 = 0| x-y-6 = 0

We try to solve the equation: x+y-4 = 0

x+y-4 = 0 // - x-4

y = -(x-4)

y = 4-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x+x-6-4 = 0| y = 4-x

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

We insert the solution into one of the initial equations of our system of equations

For y = 4-x:  

y = 4-5

y = -1

We get a system of equations:

/| y = -1| x = 5

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

They are all in standard form

Step-by-step explanation:

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-2) / -3 - 5

6 / -8

= -3/4

y = -3/4x + b

4 = -3/4(-3) + b

4 = 9/4 + b

7/4

Answer:

8/125

Step-by-step explanation:

Answer:

400 students

Step-by-step explanation:

We can rewrite the problem using the words is and of:

240 is 60% of the total number of students in the graduating class.

A simple formula for percentage problems is Px = y, where P is the percentage.  

In this case, we only know that 240 is 60% of some number, so we must find x:

\(0.60x=240\\x=400\)

The money they both will earn is $84 if Mai earns $7 per hour mowing her neighbors’ lawns and also earned $14 for hauling.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. The word equation and its translations in several languages might have slightly different meanings.

Find the values of the variables that make the equality remain true in order to solve a variable equation. The values of the variables that must fulfill the equality to make up the solution are referred to as the unknowns, together with the variables for which the equation must be solved.

Earnings of Priya: $8.40 per hour

Earnings total, m = 8.40h - - - - (1)

Mai's Income:

Let t = number of hours worked

$14 was earned for moving baggage.

Equating (1) and (2), total earnings are equal to :

8.40h=14+7h

8.40h-7h=14

1.40h=14

h=14/1.4

h=10 hours

Therefore, 8.40×h

=8.40(10)

=$84 (or)

14+7h

=14+7(10)

=$84

Therefore, The money they both will earn is $84.

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The items matched in the left column to the items in the right column are

Ratio is the number representing a comparison between two named things or quantities.

1. total to fish

= 8 : 3

2. starfish to fish

= 5 : 3

3. starfish to total

= 5 : 8

4. fish to starfish

3 : 5

In conclusion, the ratio of the total to fish to starfish is 8 : 3 : 5

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The answer is 68$

68$ was the final amount paid for the calculator

Answer:

Step-by-step explanation:

\(sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x\)

Answer:

A: -6

Step-by-step explanation:

Flip around the question

what is 12 - 18

If you count the numbers in between 12 and 18

You get 6

So now just make the answer negative

your answer is A.-6, i think its helpful

The correct Python line that outputs the probability Plx > 7 for a Normal distribution with mean 5 and standard deviation 2 is option (b).Solution:For a Normal distribution with mean 5 and standard deviation 2, the probability that a random variable x will take a value greater than 7 is given by the survival function.sf is the abbreviation for the survival function, which returns the probability that a random variable will take on a value greater than or equal to the given value. The syntax for scipy.stats.norm.sf is as follows:`scipy.stats.norm.sf(x, loc=0, scale=1)`where loc is the mean of the distribution and scale is the standard deviation of the distribution.The line of Python code that returns the probability Plx> 7 for a Normal distribution with mean 5 and standard deviation 2 is:import scipy.stats as stprint(st.norm.sf(7, 5, 2))Thus, option (b) is the correct answer.

The correct Python line to output the probability P(X > 7) for a Normal distribution with mean 5 and standard deviation 2 is b) import scipy.stats as st print(st.norm.sf(7, 5, 2))

The function st.norm.sf(x, loc, scale) computes the survival function, which is the probability that a random variable from a Normal distribution with mean loc and standard deviation scale is greater than x.

In this case, we want to find P(X > 7) for a Normal distribution with mean 5 and standard deviation 2.Therefore, we use st.norm.sf(7, 5, 2) to output the desired probability.

The output should be approximately 0.1587, which represents the area to the right of x = 7 under the Normal curve with mean 5 and standard deviation 2.

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