Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400
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Answer:

This is literally me.

Step-by-step explanation:

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Step-by-step explanation:

Given

[tex]Capacity = 10yd^3[/tex]

[tex]Dirts = 200m^3[/tex]

[tex]Trucks = 4[/tex]

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

[tex]Each\ Truck = \frac{200m^3}{4}[/tex]

[tex]Each\ Truck = 50m^3[/tex]

Divide the portion of each truck by capacity of each truck to get the number of trip

[tex]Trip = \frac{50m^3}{10yd^3}[/tex]

Convert m^3 to yd^3

[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975}{10}[/tex]

[tex]Trip = 6.53975[/tex]

Approximate:

[tex]Trip = 7[/tex]

Answer:

Step-by-step explanation:

the expression for compound interest is given as

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A=$20,000

P=?

r=7.25%=0.0725

n=52 weeks

t=3 year

[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]

the manager need to invest $16,104.35

Answer:

either 4032 or 56448

Step-by-step explanation:

you have to multiply length times height times width.

Answer:

15.74

Step-by-step explanation:

[tex] {x}^{ \frac{4}{5} } - 7x[/tex]

Substitute - 2 for x.

[tex] { (- 2)}^{ \frac{4}{5} } - 7( - 2)[/tex]

[tex] \sqrt[ 5]{ { (- 2) }^{4} } - 7( - 2)[/tex]

[tex]1.74 + 14[/tex]

[tex]15.74[/tex]

(I rounded to the nearest hundredth).

Answer:

2

Step-by-step explanation:

Answer:

1 oz

Step-by-step explanation:

Given that:

% solution of super grow fertilizer = 10%

To obtain mixture of 36oz of a 12.5% concentration

Let oz of pure supergrowth to be added = s

(Initial % * (36 - s) + s) / 36 = target concentration

(10% * (36 - s) + s) / 36 = 12.5%

(0.1(36 - s) + s) / 36 = 0.125

Cross multiply:

0.1(36 - s) + s =. 0.125 * 36

3.6 - 0.1s + s = 4.5

3.6 + 0.9s = 4.5

0.9s = 4.5 - 3.6

0.9s = 0.9

s =. 0.9/0.9

s = 1

Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.

Answer:

700%

Step-by-step explanation:

The formula to find the percentage is found below =

[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]

So to find the change in value, we must subtract 32 from 4, which gets us -28.

We know the og value already, 4 dollars.

So do the division

[tex]\frac{-28}{4} =-7[/tex]

Now the multiplcation,

-7 * 100

-700

700%

Answer:

6

Step-by-step explanation:

Fid the difference in the y-coordinates of any two points. This is the rise.

Then find the difference in the corresponding x-coordinates of the same points. This is the run.

slope = rise/run

Let's use x = 12, x = 15, and y = -4, y = 14.

rise = -4 - 14 = -18

run = 12 - 15 = -3

slope = rise/run = -18/(-3) = 6

Answer: slope = 6

For section 3.01 black, number 1 is correct, but number 2 is wrong.

When you raise an exponent to an exponent, you multiply the 2 exponents.

(x^4)^5 is x^20.

Number 3 is also right.

For 3.02, you use the interest formula. (1 + i/100)^t times x

x is the amount of money you have originally. i is the interest rate, t is the time.

1,500(1.03)^5 = 1738.91111145

$1738.91

For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.

[tex]\sqrt[4]{a^{3} } = a^{\frac{3}{4} }[/tex]

Answer:

For section 3.01 black, number 1 is correct, but number 2 is wrong.

When you raise an exponent to an exponent, you multiply the 2 exponents.

(x^4)^5 is x^20.

Number 3 is also right.

For 3.02, you use the interest formula. (1 + i/100)^t times x

x is the amount of money you have originally. i is the interest rate, t is the time.

1,500(1.03)^5 = 1738.91111145

$1738.91

For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

7

Answer:

There are 7 groups of 5 in 35.

Answer: B.

I think that it is probably too late but it is table (B.)

Step-by-step explanation:

It is a proportional relationship becuase In table B. The y section goes up by .5 each time

Answer:

C does not represent a linear function.

Step-by-step explanation:

C is the only one that has a different rate of change. If you find the rate of change between the top two, the bottom two's rate of change will be different. For a function to be linear, it has to have a constant rate of change. C does not, therefore, C is the answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Good luck with whatever you are doing! Have an amazing day!

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

Answer:

Home Depot

Step-by-step explanation:

Home Depot Has better charges because you have to multiply the question to see which one is lower.

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

The appropriate age of burned wood will be "17527.5 years".

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

Find out more information about radioactive decay here:

https://brainly.com/question/1236735

Answer:

q<392

Step-by-step explanation:

First, we turn words into an inequality. Then, we solve for q.

[tex]\frac{q}{14} <28\\q<28*14\\q<392[/tex]

It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.

[tex]3<392\\\frac{3}{14} <28[/tex]

The value satisfies the equation, so this should be correct.

Answer:

There is no solution

Step-by-step explanation:

Let's use distributive property to solve this equation.

4(7+8m) = 8(-1+4m)

28+32m = -8+32m

    -32m        -32m

28= -8

There is no solution

Hope this helps!

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]

The amount of calories in one serving of milk is 110 calories

Answer:

-1 p will be a ok answer please with

Answer:7 /13

Step-by-step explanation:

Answer:

2606 + 7025 = 9631

Pls mark me brainliest

Answer: 9631

 2606

+7025

9631

Answer:

The p-value is  [tex]p-value = 0.0039854[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1100

   The population proportion is  p = 0.50

  The sample proportion is  [tex]\^ p = 0.54[/tex]

The null hypothesis is  [tex]H_o : p = 0.50[/tex]

The alternative hypothesis is [tex]H_a : p > 0.50[/tex]

 Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]

=>   [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]

=>  [tex]z = 2.6533[/tex]

Generally from the z-table the probability of 2.6533 for a right tailed test is  

         [tex]p-value = 0.0039854[/tex]

Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

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

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

1/5 = 0.2

A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

x = 9.25/0.2

x = 46.25 answer in decimal form

x = 46 + 0.25

x = 46 + 1/4

x = 46 & 1/4  answer in mixed number form

This means we have 46 full servings plus an additional 1/4 of a serving.

Answer:

813

* 9. 9*800= 7200

9*10. =90

7200

90. 9*3. =27

27

7317

The partial product is 7317.

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)

Given:

9 x 813

Now, breaking the number according to their place value.

So, 813

=(800 + 10 +3)

Then the partial product will be written as

=9 * (800 + 10 +3)

=9* 800+ 9*10 + 9*3

=7200 + 90 + 27

= 7317

Hence, the partial product is 7317.

Learn more about partial product here:

https://brainly.com/question/24716925

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Answer:

[tex]Area = 270m^2[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}bh[/tex]

[tex]b = 18m[/tex]

[tex]h = 30m[/tex]

Required

Solve for A

Simply substitute 18 for b and 30 for h

[tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2} * 18 * 30[/tex]

[tex]A = 270[/tex]

Hence:

The area is

[tex]Area = 270m^2[/tex]

Answer:

2

Step-by-step explanation:

A coefficient is a number that is usually place before a variable to multiply it with.

  Given expression:

                   3.2 - 18y + 2y

The variable in this problem is y;

    So, the coefficients are:

                    -18 and +2

We have two coefficients.

592344435555544433234555

Answer:

a) At least what percentage of cars is traveling between 40 and 80 mph?

75%

b) At least what percentage of cars is traveling between 20 and 100 mph?

93.75%

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

30 cars.

Step-by-step explanation:

We apply Chebyshev's Theorem

This states that:

1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.

From the question, we have:

Mean of 60 mph

Standard deviation of 10 mph.

a) At least what percentage of cars is traveling between 40 and 80 mph?

Applying:

Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

μ – 2σ

60 - 2(10)

60 - 20

= 40 mph

μ + 2σ.

60 + 2(10)

60 + 20

= 80 mph

Hence, at least 75% of cars is traveling between 40 and 80 mph.

b) At least what percentage of cars is traveling between 20 and 100 mph?

At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.

μ – 4σ

60 - 4(10)

60 - 40

= 20 mph

μ + 4σ.

60 + 4(10)

60 + 40

= 100 mph

Hence, at least 93.75% of cars is traveling between 40 and 80 mph.

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

Since we know from question a) that

at least 75% of cars is traveling between 40 and 80 mph.

Given a sample of 40 cars:

75% of 40 cars

= 75/100 × 40

= 30 cars.

The number of cars that are traveling between 40 and 80 mph is 30 cars.