A rental car agency charges $180 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $382.50?

Percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

As given in the question,

Money spent on

Each equipment = $36

Fees = $158

Transportation = $59

Total money spent = $( 36 + 158 + 59)

                             = $253

Percent cost of the total spent on

Each equipment = (36/253) × 100

                          = 14.23%

Fees = (36/253) × 100

        = 62.45%

Transportation =(36/253) × 100

                       = 23.32%

Therefore, percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

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Answer: y=-4/3x+(-3)

Step-by-step explanation: y= (slope)x+(y-intercept)

Answer:

69

Step-by-step explanation:

We are given the expression:

\( \displaystyle \large{10y - 7z}\)

Evaluate the expression when y = 9 and z = 3; substitute y = 9 and z = 3 in the expression.

\( \displaystyle \large{10(9)- 7(3)} \\ \displaystyle \large{90- 21} \\ \displaystyle \large{69}\)

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

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Answer:

for 2 it's 2 4 6 8 10 12 14 16 18 20 22 24 and for three it's 3 6 9 12 15 18 21 24 27 30 33 36

Step-by-step explanation:

You Welcome

Answer: C. Even with a higher income, Aiyana would not save.

Step-by-step explanation: When Aiyana increases her expenses for rent, car, and non-essentials, it means that she is allocating more of her income towards these categories.  As a result, her disposable income, or the amount of money left after paying for necessary expenses, would decrease.

If Aiyana's income remains the same and she increases her expenses, it would lead to a situation where her expenses exceed her income.  This would make it difficult for her to save money since she would be spending more than what she earns.

Answer:

x = 10.5

Step-by-step explanation:

Work in the screenshots

I used a online calculator

symbolab. com

The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.

In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

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Answer:

m(2) = 39; if hazel mows a yard for 2 hours

Step-by-step explanation:

sorry if this is incorrect but i thought it was more help then the previous answer

:)

hope this helps anyone and have a great day!!

Answer:

Your weight...

Step-by-step explanation:

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

The solution of the given initial value problem, x'' + 33.64x = 4cos(6t), with x(0) = x'(0) = 0, can be expressed as a sum of the homogeneous solution and the particular solution.

To find the solution, we start by solving the homogeneous equation, x'' + 33.64x = 0. The characteristic equation associated with this homogeneous equation is \(r^2 + 33.64 = 0\), which yields the roots

r = ±i√33.64. Thus, the homogeneous solution can be expressed as

x_h(t) = A*cos(√33.64*t) + B*sin(√33.64*t),

where A and B are constants determined by the initial conditions.

Next, we need to find the particular solution for the forced oscillation. Since the right-hand side of the equation is of the form Acos(ωt), where ω = 6, we assume a particular solution of the form x_p(t) = C*cos(ω*t + φ), where C and φ are constants to be determined. Taking the derivatives, we have x_p''(t) = -ω^2*C*cos(ω*t + φ) and x_p'(t) = -ω*C*sin(ω*t + φ). Substituting these into the original equation, we obtain -ω^2*C*cos(ω*t + φ) + 33.64*C*cos(ω*t + φ) = 4*cos(ω*t).

To satisfy this equation, the coefficient of the cosine term must be 4, while the coefficient of the sine term must be zero. This gives us two equations: -ω^2*C + 33.64*C = 4 and -ω*C = 0. Solving these equations, we find C = 4/(33.64 - ω^2) and φ = 0. Therefore, the particular solution is x_p(t) = (4/(33.64 - ω^2))*cos(ω*t).

Finally, we combine the homogeneous solution and the particular solution to obtain the complete solution:

x(t) = x_h(t) + x_p(t) = A*cos(√33.64*t) + B*sin(√33.64*t) + (4/(33.64 - ω^2))*cos(ω*t).

By substituting the initial conditions x(0) = x'(0) = 0 into this equation, we can determine the values of A and B. With the obtained values, the final solution for the initial value problem can be expressed in terms of the given constants and the trigonometric functions involved.

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The recurrence relation of the running time for a recursive algorithm, prove by induction that T(n)=O(nlog

3 /2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

To prove by induction that T(n) = O(nlog₃(n)), we will first establish a base case and then assume the hypothesis for n and prove it for n + 1.

Base Case:

For n = 3, T(3) = 2T(3/3) + 3 = 2T(1) + 3 = 2(10) + 3 = 23.

Assumption:

Let's assume that for some k ≥ 3, T(n) ≤ cnlog₃(n) holds for all n ≤ k.

Inductive Step:

Now, we need to prove that T(n) ≤ cnlog₃(n) holds for n = k + 1.

T(k + 1) = 2T((k + 1)/3) + (k + 1)

Using the assumption, we have:

T(k + 1) ≤ 2c((k + 1)/3)log₃((k + 1)/3) + (k + 1)

We can simplify the logarithm using the change of base formula:

log₃((k + 1)/3) = logₓ((k + 1)/3) / logₓ(3)

Let's choose x = (k + 1)/3, so logₓ(3) = 1. Thus, we have:

log₃((k + 1)/3) = logₓ((k + 1)/3)

Substituting this back into the inequality, we get:

T(k + 1) ≤ 2c((k + 1)/3)logₓ((k + 1)/3) + (k + 1)

Expanding further:

T(k + 1) ≤ 2c(k + 1)logₓ((k + 1)/3) / 3 + (k + 1)

       = (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

Since logₓ((k + 1)/3) is positive and (2c / 3)(k + 1) is also positive, we can simplify the inequality further:

T(k + 1) ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

       ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)logₓ((k + 1)/3)

       = (k + 1)(2c / 3 + logₓ((k + 1)/3))

Now, let's choose c such that 2c / 3 ≥ 1. This ensures that (2c / 3 + logₓ((k + 1)/3)) ≥ 1.

Choosing c = 3/2 satisfies the condition. Therefore, we have:

T(k + 1) ≤ (k + 1)(2c / 3 + logₓ((k + 1)/3))

       ≤ (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + log₃((k + 1)/3))  [since x = (k + 1)/3]

By simplifying further, we obtain:

T(k + 1) ≤ (k + 1)(3

/2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

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Answer:

yes they both form a proportion

Answer:

The town in Texas received inches 22.1428571429 of rain

Step-by-step explanation:

There are seven days in a week so the given rate becomes 10/14 inches.

This means that in 31 days, it would have rained (10/14) * 31 which equals 22.1428571429 inches of rain.

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Answer:

6000

Step-by-step explanation:

thousands digit and the units digit are the same.

and The hundreds digit and the tens digit are the same.

The hundreds digit is 0.

so three digits are same.

so the last three digits are 0.

The sum of the digits is 6.

so 6000 is right answer.

Tofind the measure of the hypotenuse of a right triangle with legs measuring 7 cm and 6 cm, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

1. Label the legs as a = 7 cm and b = 6 cm.
2. Apply the Pythagorean theorem: c^2 = a^2 + b^2
3. Substitute the values: c^2 = (7 cm)^2 + (6 cm)^2
4. Calculate the squares: c^2 = 49 cm^2 + 36 cm^2
5. Add the squares: c^2 = 85 cm^2
6. Find the square root: c = √85 cm ≈ 9.22 cm

The measure of the hypotenuse is approximately 9.22 cm.

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The correct option is f(x) is greater than g(x).Because we get the new function by putting value of x. we get by performing f first and then performing g.

A linear function is a function that has either one or two variables without exponents.Linear functions has a graph in a straight line.The slope of linear function is always constant because the slope of a straight line is always constant.

The function f with g is (f∘g)(x)=f(g(x)) and is read f of g of x . It means that wherever there is an x in the function f , it is replaced with the function g(x).we can find f(x) and g(x) by adding value of x in the function.

Now we have

f(x)=3x+1

when x=3 we get

f(x)= 3(3) +1

f(x) = 10

Similarly from graph of g(x)

when x=3

g(x)=7

g(3)=7

f(3) > g(3)

Hence proved that f(x) is greater than g(x).

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The normal approximation can be used in a two-sample test of proportions when the sample sizes are sufficiently large.

The rule of thumb is that each sample should have at least 10 successes and 10 failures. When these conditions are met, the sampling distribution of the difference in sample proportions can be approximated by a normal distribution with a mean equal to the difference in population proportions and a standard deviation calculated from the sample proportions. This approximation allows us to calculate probabilities and make inferences using the standard normal distribution. It is important to note that this approximation may not be accurate for small sample sizes, in which case exact methods such as the Fisher's exact test should be used instead. In summary, the normal approximation can be used in a two-sample test of proportions when the sample sizes are large enough and the conditions are met.

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Answer:

the answer is 1470

Step-by-step explanation:

157+376+413+524

=1470

Answer:25

Step-by-step explanation:

10.

Because the ratio is how many problems:How much time so it is 2:15

Multiply each side by 5 10:75

So that means 10 problems in 75 minuets.

HOPE THIS HELPED!!!

Answer:

10

Step-by-step explanation:

Set up the following proportion.

2 questions /15 minutes = x questions / 75 minutes.

Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.

Mulltiply both sides by 75

2 * 75 / 15 = x

2 * 5 = x

x = 10

She would be able to solve 10 problems in 75 minutes.

Comparing the two results, we see that the diagonal of prism P is longer than the diagonal of prism Q. Therefore, prism P has a longer diagonal.

What is diagonal ?

A diagonal is a straight line that connects any two non-adjacent vertices (corners) of a polygon or a three-dimensional shape, such as a rectangular prism. In a rectangular prism, the diagonal is the line that passes through the solid connecting two opposite corners of the rectangular base and extending to the opposite corners of the rectangular top face. The length of the diagonal can be found using the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the length, width, and height of the rectangular prism.

To determine which rectangular prism has a longer diagonal, we need to calculate the length of the diagonal for each prism using the Pythagorean theorem, and then compare the results.

For prism P with height 15, length 3, and breadth 4, the length of the diagonal can be calculated as:

√(15² + 3² + 4²) = √(225 + 9 + 16) = √(250) = 5*√(10)

For prism Q with height 5, length 4, and breadth 12, the length of the diagonal can be calculated as:

√(5² + 4²+ 12²) = √(25 + 16 + 144) = √(185)

Comparing the two results, we see that the diagonal of prism P is longer than the diagonal of prism Q. Therefore, prism P has a longer diagonal.

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Answer:

Diameter =22

Step-by-step explanation:

radius is half amount if the circle . Diameter is the full length of the circle.

To find diameter you would times 11 by 2 .

=22

After solving, she is 25 years old.

In the given question,

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"

We have to find the age of she.

To find the age of she we we firstly simplify the given statement in the form of expression then we solve the expression.

To write the expression we clearly read then sentence and then write the expression.

Let the age of she is x.

So When we take the square of her age, it is x^2.

When we subtract 22 times her age then it is x^2-22x.

Then its is equal to the 75. Now the expression is;

x^2-22x=75

Subtract 75 on both side, we get

x^2-22x-75=0

Now we simplifying the equation by factoring it.

x^2-(25-3)x-75=0

x^2-25x+3x-75=0

x(x-25)+3(x-25)=0

(x+3)(x-25)=0

Now the factor of x is -3 and 25.

Age can not be negative. So the age of she is 25.

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The right question is;

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"how old is she?

Answer:

30+46=76

Step-by-step explanation:

so you want to draw out a model and write the two numbers and add them.

Answer:

18 - 33= -15

Step-by-step explanation:

18 is from how much he currently has

subtract 33 is how much he has to pay

-15 is how much money he is going to be in debt

Answer:

$14.00

Step-by-step explanation:

So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.

(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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