Complete the equation of the line through (4,-8)(4,−8)
Use exact numbers.


Y=____+_____

We want to find and graph the motion equations by finding the ratios.

The graph can be seen at the end of the answer.

We define the rate of change as the rate at which one variable changes with respect to other.

Here, we know that you move 30 meters every 5 seconds, then your rate of change in position is:

r = 30m/5s = 6 m/s

Note that this is a speed.

For your friend, we know that he/she moves 9 meters in 2 seconds, so his/her rate is:

r' = 9m/2s = 4.5 m/s.

Now we need to graph these in a coordinate plane, but these are just numbers, I assume that you want the motion equation graphed.

The motion equations are just given by the rate we just fond times the variable, in this case, the variable is the time in seconds.

Your equation is:

p(t) = (6 m/s)*t

Your friend equation is:

p'(t) = (4.5 m/s)*t

The graphs can be seen below, the green one is the first function, and the blue one is the second.

If you want to learn more, you can read:

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Based on the data, it can be inferred that Harrisburg, PA is 158 miles from Trento, NJ.

To calculate the distance between Harrisburg and Trento we must carry out the following procedure. First we look at the entire table to see the different distance values between the cities. As we can see, the values for Trento, NJ are not there, so we will have to look elsewhere for additional information.

In this case, we must take as a reference the closest city to Trento that is on the list, this would be Filadeldia. Now, we must find the distance between Philadelphia and Trento and add this value to the distance between Philadelphia and Harrisburg.

According to the above, Philadelphia is 114 miles from Harrisburg and 44 miles from Trneto.

Based on the above, the total distance between Trento and Harrisburg is 158 miles.

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Answer:

answer is a,b,c

Step-by-step explanation:

increase in x results in the decrease in y

Answer:

• Decrease in x results in the increase in y

• Increase in x results in the decrease in y

Answer:

21 min longer

Step-by-step explanation:

For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.

For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.

now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

Anthony can make 2 batches of lemonade with 1 pint of lemon juice.

In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.

Step 1: Convert Pints to Fluid Ounces

Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.

1 pint = 16 fluid ounces

Step 2: Calculate Batches

Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.

Number of batches = Total fluid ounces / Fluid ounces per batch

Substitute the values:

Number of batches = 16 fluid ounces / 8 fluid ounces per batch

Number of batches = 2 batches

Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.

This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.

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Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215  

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

Answer:

x = 100/13

Step-by-step explanation:

x 169% = 13

x = 13/169%

x = 13/1.69 = 13/169/100

x = 13 × 100/169

x = 100=13

[tex]\\ \sf\longmapsto 169\%x=13[/tex]

[tex]\\ \sf\longmapsto 1.69x=13[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]

[tex]\\ \sf\longmapsto x=7.69[/tex]

Answer:

1/4 slope

Step-by-step explanation:

From (-8,0) to (-7,4) it goes 1 up and 4 to the right

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

The first for terms of the series can be found by substituting the n for the term it is:

= 3(1)² + 1​ , 3(2)² + 1​ , 3(3)² + 1​ ,3(4)² + 1​

= 4, 13, 28, 49

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

Answer:

-36x-36x

Step by step explanation:

4(9x+9)

-36x -36x

Answer:

Step-by-step explanation:

[tex]-4\left(9x+9\right)[/tex]

Apply distributive law:

[tex]-4\times \:9x-4\times \:9[/tex]

[tex]-36x-36[/tex]

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Answer:

24%

Step-by-step explanation:

Difference in price of sweater

=$25-$19

=$6

6/25×100%=24%

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]

[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]

[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]

[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

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Answer:

Step-by-step explanation:

Cylinder volume:

Substitute the values of r and h:

________

[tex] \: [/tex]

V = [tex]\pi[/tex] × r² × h

V = [tex]\pi[/tex] × 3² × 8

V = [tex]\pi[/tex] × 9 × 8

V = 72[tex]\pi[/tex]m³✔

Answer:

（2,-4）

Step-by-step explanation:

-4＋2＝-2

10＋-4＝10-4＝6

b is false.

This function is vertically stretched by a factor of 6, not compressed.

Answer:

y = 1/4x -2

Step-by-step explanation:

If the slope is 1/4, then you must multiply x by 1/4. If we plug 0 into 1/4x, we get 0, but we need -2, so we must subtract 2 in the equation.

Answer:3.33%

easy

Step-by-step explanation:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

= 1 /root 2 ( 1/2 - root 3 /2)

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.

Answer:

4 pens

Step-by-step explanation:

better value

Answer:

Question 2: The degree is 3 and the terms are 2, Binomial

Question 3: The degree is 2 and the terms are 3, Polynomial

Step-by-step explanation:

Answer:

40% is the probability

Step-by-step explanation:

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000