The area of the parallelogram is 315 square units. What is the height of the parallelogram?

Answer:

y = -5x -10

Step-by-step explanation:

This is the slope-intercept form:

[tex]y-y_{1} = m(x -x_{1})[/tex]

First, we look for the slope. The slope is found by using the equation:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]

[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]

m = -5.

Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:

y - (-25) = -5(x - 3)

y + 25 = -5(x - 3)

y + 25 = -5x + 15

y = -5x + 15 -25

y = -5x -10

Answer:

the answer to the problem is y= -5x - 10

Answer:

$65.52

Step-by-step explanation:

y = mx + b

y = amount spent on fuel = ?

m = price per gallon = $3.90

x = gallons  = 16.8

b is not needed for this problem

y = (3.90)(16.8)

y = $65.52

The amount of money that Sam spends on fuel will be $65.52.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.

The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.

⇒ $3.90 x 16.8

⇒ $65.52

The amount of money that Sam spends on fuel will be $65.52.

More about the ratio and the proportion link is given below.

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Answer:

f5= 5

Step-by-step explanation:

The value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.

Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones.

i.e.

[tex]F_n = F_{n-1} + F_{n-2}[/tex]

We have,

Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}

i.e.

F₁ = 0, F₁ = 1, F₂ = 1, F₃ = 2, F₄ = 3, F₅ = 5, F₆ = 8

Now,

We have to find the value of F₅,

Here, for n = 5,

i.e.

[tex]F_5 = F_{5-1} + F_{5-2}[/tex]

i.e.

F₅ = F₄ + F₃

So,

F₅ = 3 + 2

So,

We get,

F₅ = 5

So, the value of  F₅ for the given sequence is  F₅.

Hence, we can say that the value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.

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Answer:

7

Step-by-step explanation:

The diameter is twice the radius, and 2(3.5) = 7.

Step-by-step explanation:

3/10 or 0.3

hope it helps:))!

Answer:

0,3

= 3/10

Step-by-step explanation:

thank you

i hope this helps

Answer:

A

Step-by-step explanation:

It must be the amount he sells since each piece costs $25 and he must reach his goal

Answer:

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

sorry if im wrong

Step-by-step explanation:

Answer:

$56

Step-by-step explanation:

$80 x .3 = $24

$80 - $24 = $56

You can also do $80 x .7 = $56.

Hope that helps!

Answer:

28%. mark got 28% WRONG

Step-by-step explanation:

another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/

Answer:

X=117.9

Step-by-step explanation:

I got itttt

Answer:

10.8

divide 9 by 5/6

Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators

Answer:

2m + 5s = 15

I hope it helps.

have a great day.

Answer:

yes, the measures are equivalent because the formula for cm to mm is times 10. 9 times 10 is 90.

Step-by-step explanation:

hope this helps! pls mark brainliest!

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that [tex]X = 79[/tex]

The team averaged 87% from the free throw line with a standard deviation of 12, which means that [tex]\mu = 87, \sigma = 12[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{79 - 87}{12}[/tex]

[tex]Z = -0.67[/tex]

Steals:

She had 4 steals, which means that [tex]X = 4[/tex]

Averaged 7 steals with a standard deviation of 3, which means that [tex]\mu = 7, \sigma = 3[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4 - 7}{3}[/tex]

[tex]Z = -1[/tex]

Due to the higher z-score, she did better in the free throw category.

Answer:

its soooooooo long make it shorter i need toknow it shorter

Step-by-step explanation:

Answer:

872

Step-by-step explanation:

The predicted value of $16,348 for the car in 2014.

The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.

Given,

The car was purchased for $22,800 in 2010.

The value of the car was $14,100 in 2012.

The time elapsed between 2010 and 2012 is 2 years, so we can calculate the annual depreciation rate as follows:

depreciation rate = (purchase price - value after 2 years) / (purchase price x 2 years)

= (22,800 - 14,100) / (22,800 * 2)

= 0.0798 or 7.98%

This means that the car depreciates by approximately 7.98% of its value per year. To predict the value of the car in 2014, we can use this rate to calculate the value after 4 years (since 2010):

value after 4 years = purchase price x (1 - depreciation rate)⁴

= 22,800 x (1 - 0.0798)⁴

≈ 16,347.97

Rounding this to the nearest dollar gives us a predicted value of $16,348 for the car in 2014.

Learn more about the depreciation rate here:

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9514 1404 393

Answer:

  11.  (-4, -1)

  12.  (2, 7)

Step-by-step explanation:

The midpoint is the average of the end point coordinates. For segment AB, the midpoint M is ...

  M = (A+B)/2

If you have A and M, you can find the other end point B from ...

  2M = A+B . . . . multiply the above equation by 2

  B = 2M -A . . . . subtract A from both sides

__

11. The midpoint (M) is ...

  M = ((-1, 2) +(-7, -4))/2 = (-1-7, 2-4)/2 = (-8, -2)/2

  M = (-4, -1)

__

12. The missing end point is ...

  Z = 2Y -X

  Z = 2(-4, 8) -(-10, 9) = (2(-4)+10, 2(8) -9)

  Z = (2, 7)

Step-by-step explanation:

The answer is down here

1. 8

2. 2

3. b

4. f

Answer:

1/2 yard

Step-by-step explanation:

Multiply the top numbers (the numerators). Which would give you 6.

Multiply the bottom numbers (the denominators). Which would leave you with 12.

Simplify the fraction if needed. 6/12 can be simplified down to 1/2

a? I'm unsure abt this one

Answer:

Percentage error of your estimate = 13%    

Step-by-step explanation:

Given

Approximate value = 85

Exact value = 75

To determine

Percentage error can be determined using the formula

Percentage Error =  |Approximate Value − Exact Value| / |Exact Value| × 100%

                             = |85 − 75| / |75| × 100%

                             = 10 / 75 × 100%

                             = 0.1333 × 100%

                             = 13%

Therefore, percentage error of your estimate = 13%                                    

Answer:

i got Observed Value as 10 and True Value as 11. someone tell me if i was wrong

Answer:

13

Step-by-step explanation:

Substitute x for 28 and y for 5:

(28) - 3(5)

28 - 15

13

Answer:

b is the answer i think

Step-by-step explanation:

I learned this at some point

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7