Newton's Second Law states acceleration equals force
divided by mass, a = F/M. This graph shows f(x) = 5/x , an
acceleration based on a constant force of 5 Newtons
applied to different objects. How is f(x) transformed to
get g(x) and what is the new equation?

Answer:

Step-by-step explanation:

The area of a triangle of base 8 in, and height 7 in, is

A = (1/2)(base)(height) = (1/2)(8 in)(7 in) = 28 in^2.  This matches the given 28th in^2.

Answer:

Step-by-step explanation:

5 nights

The family have to stay 5 nights in order  to cost the same amount of money.

Let us consider that family is staying for x night.

Given that, Option A costs $479 per night and includes airfare in the cost.

So that,         [tex]A(x)=479x[/tex]

Also Option B costs $129 per night but will cost your family $1750 in airfare.

So that,      [tex]B(x)=129x+1750[/tex]

for the cost of same amount of money,

              [tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]

The family have to stay 5 nights in order  to cost the same amount of money.

Learn more about the linear function here:

https://brainly.com/question/15602982

Answer:

28

Step-by-step explanation:

So we know that 2 is already a multiple of 4 so we can just find the least common multiple of 4 and 7. So we can do:

4, 8, 12, 16, 20, 24, 28

7, 14, 21, 28

So the least common multiple between 4, 2, and 7 is 28

Answer:

16

Step-by-step explanation:

Answer:

The length is 13 inches.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a is the answer ..........

Answer:

54,300

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{ - 4}{5} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{8 - 12}{2 + 3} }[/tex]

Subtract 12 from 8

[tex] \dashrightarrow{ \sf{ \frac{ - 4}{2 + 3} }}[/tex]

Add the numbers : 2 and 3

[tex] \dashrightarrow{ \sf{ \frac{ - 4}{5} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

Jordan paid $9.16 for shipping.

Step-by-step explanation:

Answer:

[tex]m=36[/tex]

Step-by-step explanation:

We can solve for this equation by isolating [tex]m[/tex] on one side. To do this, we can "reverse" the equation.

[tex]3(\frac{1}{2}m - 3) = 45[/tex]

Let's divide both sides by 3.

[tex]3(\frac{1}{2}m-3)\div3 = 45\div3\\\\\frac{1}{2}m - 3 = 15[/tex]

Add 3 to both sides:

[tex]\frac{1}{2}m - 3 + 3 = 15 + 3\\\\\frac{1}{2}m = 18[/tex]

Multiply both sides by two (since [tex]\frac{1}{2}\cdot2=1[/tex])

[tex]\frac{1}{2}m \cdot 2 = 18 \cdot 2\\\\m = 36[/tex]

Hope this helped!

Answer:

m = 36

Step-by-step explanation:

Step 1:

3 ( 1/2m -3 ) = 45

Step 2:

3/2m - 9 = 45

Step 3:

3/2m = 54

Step 4:

54 ÷ 3/2

Step 5:

54/1 × 2/3

Answer:

m = 36

Hope This Helps :)

Answer:19.25

4.25p-2

Step-by-step explanation:

B)decreases by one; arrow length decreases by 1/3

Answer:

B)decreases by one; arrow length decreases by 1/3

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-8-4=-12

because -×-=+

and -+-=-

why because when you add the highest number gives you the sign

Answer:

x= -0.857143 = -6/7

Step-by-step explanation:

Answer:a) 28

Step-by-step explanation:

10-2=8

8 objects currently 6 placements for next week = 28 combinations of people of who could stay or leave

Answer:

A

Step-by-step explanation:

The answer is the first one: 28 :) Have a good day everyone!

Answer:

Always.

Step-by-step explanation:

Let's write two equations.

Pepe's Pizza:

They made 52 pizza crusts the first week and 180 crusts each subsequent week. In other words, in x weeks after the first week, their total number of crusts made is modeled by the equation:

[tex]P=52+180x[/tex]

Dianne's Delicatessen:

They made 26 pizza crusts the first week and 90 crusts each subsequent week. So, in x weeks after the first week, their total number of crusts is modeled by:

[tex]D=26+90x[/tex]

And we want to find the number of weeks such that the number of crusts made by Pepe's Pizza is equivalent to twice the number of crusts made by Dianne's Delicatessen. In other words:

[tex]P=2D[/tex]

Substitute P and D for their equations:

[tex]52+180x=2(26+90x)[/tex]

Distribute the right:

[tex]52+180x=52+180x[/tex]

As we can see, the two equations turns out to be the same.

In other words, no matter what week it is (excluding the first week), the amount of crusts made by Pepe's Pizza will always be twice the crusts made by Dianne's Delicatessen.

Answer:

Below.

Step-by-step explanation:

The number of combinations of 7 from 32 =  32! / 7! (32-7)!

= 3365856

So it is 1/ 3365856 = 0.000000297

or about 3 in 10,000,000.

Answer:

d

Step-by-step explanation:

i took the test

Answer:

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

Step-by-step explanation:

[tex]-\frac{1}{2} -\frac{3}{2} = \frac{3}{2} k[/tex]

[tex]-2= \frac{3}{2} k[/tex]

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

Answer:

|Z| = 2.237 < 2.32 at 0.02 level of significance

Null hypothesis is accepted

Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 45

Mean of the Population 'μ' = 85

Mean of the sample 'x⁻' = 81

Standard deviation of the sample 'σ' = 12 milligrams

Null Hypothesis:   H₀:μ=85

Alternative Hypothesis:   H₁:μ≠ 85

Step(ii):-

Test statistic

                     [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                    [tex]Z = \frac{81 -85}{\frac{12}{\sqrt{45} } }[/tex]

                  Z = -2.237

Level of significance = 0.02

Z₀.₀₂ = 2.32

|Z| = 2.237 < 2.32 at 0.02 level of significance

Conclusion:-

Null hypothesis is accepted

Recommended that pregnant women not over eighteen years old get 85 milligrams of vitamin C each day

Answer:

(1.5) (2.2)

Step-by-step explanation:

SHOULD BE CORRECT

I HAD THAT QUESTION YESTERDAY AND MY TEACHER SAID IT WAS RIGHT ‍♀️

Answer:

(1/2,5)

Step-by-step explanation:

Midpoint formula is (x1+x2)/2,(y1+y2)/2

(3-2)/2 , (7+3)/2

=(1/2,5)

Might be wrong, though.

Answer:

m∠MON = 24°

Step-by-step explanation:

m∠LOM and m∠MON add up to 90°.

Step 1: Find x

2x + 46 + 3x - 6 = 90

5x + 40 = 90

5x = 50

x = 10

Step 2: Find m∠MON

m∠MON = 3x - 6

m∠MON = 3(10) - 6

m∠MON = 30 - 6

m∠MON = 24°

Answer:

Step-by-step explanation:

Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;

u = 4i+7j-3k and v = 2i-7j+5k

To get 3u-v, we will substitute the given vectors into the expression;

3u-v = 3(4i+7j-3k) -  (2i-7j+5k)

open the parenthesis

3u-v = 12i+21j-9k - 2i + 7j - 5k

collect like terms

3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)

3u - v = 10i+28j-14k

To simplify the answer, we will divide through by 2

3u - v = 10i/2+28j/2-14k/2

3u - v = 5i+14j-7k

Hence the simplified form of the expression is 5i+14j-7k

Adding a negative number is the same as subtracting a positive number.

4 + (-6)

= 4 - 6

= -2

Best of Luck!

Steps to solve:

2 * (3 - 1) + 3

~Simplify

2 * (2) + 3

~Multiply

4 + 3

~Add

7

Best of Luck!

Answer:

Step-by-step explanation:

From the question the figure above is a triangle.

The sum of angles in a triangle add up to 180°

To find the value of x add up all the angles and equate them to 180 to find the value of x

We have

50 + 2x + 3x - 10 = 180

5x + 40 = 180

5x = 180 - 40

5x = 140

Divide both sides by 5

We have the final answer as

Hope this helps you

Answer:

x = 7

y = 0

Step-by-step explanation:

→To solve this, you can use the elimination method. To do this, you must have one set of variables that can cancel each other out. In the problem given, we already have positive 4x and -4x, making them cancel out:

4x + 9y = 28

-4x - y = -28

__________

8y = 0

y = 0

→Plug in 0 for y, into an equation:

-4x - 0 = -28

-4x = -28

x = 7

Answer:

The answer is

Step-by-step explanation:

[tex]w(t) = - 2t + 1[/tex]

To find w(- 7) substitute the value of t that's - 7 into w(t) that's for every t in w(t) replace it with - 7

That's

[tex]w( - 7) = - 2( - 7) + 1 \\ = 14 + 1[/tex]

We have the final answer as

Hope this helps you

Answer:

w=15

Step-by-step explanation:

w(t)=−2t+1

w(−7)=−2(−7)+1

=14+1

=15

Answer:

Substitution property.

Step-by-step explanation:

You have to substitute n to get the answer therefore, substitution.