Richard went to a zipline park for his birthday. richard travels on the zipline at a constant rate.
the points on the following coordinate plane show how many feet he travelled in 2, 3, and 4 seconds while riding one of the ziplines.

how far does richard travel on the zip line in 1 second?

Step-by-step explanation:

We have (x + y)² = (x + y)(x + y) = x² + 2xy + y².

Let x be 3a and y be 2.5b.

Therefore (3a + 2.5b)²

= (3a)² + 2(3a)(2.5b) + (2.5b)²

= 9a² + 15ab + 6.25b².

Hence the '*' sign should be replaced with 15ab.

Answer:

Given that, ( 3a + 2.5b )² = 9a² + 6.25b² + *

We know that, ( x + y )² = x² + y² + 2xy

According to the above problem, we get

( 3a + 2.5b )² = (3a)² + (2.5b)² + (2×3a×2.5b)

( 3a + 2.5b )² = 9a² + 6.25b² + 15ab

Therefore,

The sign " * " should be 15ab.

Answer:

missing length is 6x - 1

Step-by-step explanation:

To find missing length, add two known sides and subtract from perimeter

(15x - 2) - (4x + 4 + 5x - 5)

(15x - 2) - (9x - 1) = 6x - 1

Answer:

6623 AU

Step-by-step explanation:

I assume the angle measure 0.000302 is in radians.

Draw a segment from the Sun to the Star.

Use the upper small triangle.

The angle at the Star measures 0.000151 radians.

The opposite leg measures 1 AU.

We need the hypotenuse which is the distance from the Star to Earth.

sin A = opp/hyp

sin 0.000151 rad = 1/x

x sin 0.000151 rad = 1

x = 1/(sin 0.000151 rad)

x = 6623

Answer: 6623 AU

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.

(-1 , -12)

(9 , -12)

(4, -17)

(4, -7)

Answer:

Step-by-step explanation:

[tex]A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2[/tex]

Answer:

150 ft

Step-by-step explanation:

You use Pythagoras theorem to work out the base of the triangle.

<3

Answer:

Cost of a bag popcorn = $6.5

Step-by-step explanation:

Given:

Number of popcorn bags sold by Troy = 28

Number of candy bar sold by Troy = 40

Number of popcorn bags sold by Jake = 17

Number of candy bar sold by Jake = 20

Amount Troy earn = $282

Amount Jake earn = $160.5

Find:

Cost of a bag popcorn

Computation:

Assume;

Cost of a bag popcorn = a

Cost of a candy bar = b

28a + 40b = 282..........eq1

17a + 20b = 160.5...............eq2

eq2 x 2

34a + 40b = 321.........eq3

eq3 - eq1

6a = 39

a = 6.5

Cost of a bag popcorn = $6.5

Answer:

$10000 Total cost to transport 14 tons

Step-by-step explanation:

The total cost C(S) = $6500 + ($250/ton)S.  This is a linear function with initial value $6500 and slope $250/ton.

C(14) = $6500 + ($250/ton)(14) = $10000 = Total cost to transport 14 tons

Answer:

hello! the answer is below!

Step-by-step explanation:

Let's write the equation.

6500 + 250s = c

Now put in our value for s.

6500 + 250 · 19 = 4750

The answers are

6500 + 250s = c

And

4750

Hope this helps! :)

Answer:

y=6x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

35,.......,..............

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

9514 1404 393

Answer:

  2310

Step-by-step explanation:

Assuming "this particular sale" totals 33000 in its entirety, the commission is ...

  20% × 33000 = 6600

The amount of that going to the savings account is ...

  35% × 6600 = 2310

The amount invested is 2310.

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

To divide fractions, multiply by the reciprocal.

So we have:

2/3 x 12/6 = 24/18 = 4/3 = 1 1/3

Answer:

1/250

Step-by-step explanation:

0.4% in fraction form is 0.004

or 4/1000

4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)

Answer:

B. linear equation

Step-by-step explanation:

How can you tell that whether the equation is linear or nonlinear?

Using an Equation

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

y = -5x + 12 has no exponents that's why it is a linear equation.

Hope this helps:)

Answer:

D because non of them work lol

Step-by-step explanation:

Hope this Helped

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

Answer:

jhg hstu35kk4t6ek

3tnk63e6oktelrt

Step-by-step explanation:

4n5kdti3eo5

Answer:

3 3/5 meters (B)

Step-by-step explanation:

Since this is perimeter, you must find the "outside".

The top side: 1/4 * 4 = 1

Left side: 1/5 * 4 = 4/5

Bottom: 1

Right side: 4/5

Add them up!

1 + 1 + 4/5 + 4/5

2 8/5

3 3/5

B!

Answer:

I can't help it's past due date. sorry

Step-by-step explanation:

Step-by-step explanation:

you have to add 5 and 2 which is 7 and decide by 3 or estimate

Answer:

2

Step-by-step explanation:

√(-8-8)^2 +(10+4)^2=

✓-32+28

✓4

=2

Answer:

1310

Step-by-step explanation:

Answer:

7.63

(Hope this helps! Btw, I am the first to answer.)

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

Answer:

The third option

Step-by-step explanation:

60+y=180

y=120

Answer:

y = 120

Step-by-step explanation:

Answer:

0.5 kg

Step-by-step explanation: