the spring in a toy rocket launcher has a spring constant of 44 N/m. how far must you compress the spring to cause it to exert a force of 8 N?

Answer:

i think its 81

Step-by-step explanation:

Answer:

106 sq meters

Step-by-step explanation:

Break the figure down. I have attached an image as you can see see below.

The figure consists of three rectangles

So Area of rectangle 1 is = 4 x 7 = 28 sq meters

So Area of rectangle 2 is = 10 x 5 = 50 sq meters

So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles

So area of the whole figure is =  Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of whole figure is = 28 + 50 + 28

Area of whole figure is = 106 sq meters.

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer:

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.

Answer:

[tex]A_2=128.69\ in^2[/tex]

Step-by-step explanation:

The area of a circle varies directly as the square of its radius.

[tex]A=\pi r^2[/tex]

If r₁ = 2in, A₁ = 12.568 in₂, r₂ = 6.4 in, A₂ = ?

ATQ,

[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}\\\\A_2=\dfrac{A_1r_2^2}{r_1^2}\\\\A_2=\dfrac{12.568 \times 6.4^2}{2^2}\\\\=128.69\ in^2[/tex]

So, the new area of the circle is [tex]128.69\ in^2[/tex].

Answer:

Answer:

(-8;11] is the range of the graph

Step-by-step explanation:

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3

Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .

Hence, this is the required solution.

Answer:

Each GT student gets $3 for lunch

Step-by-step explanation:

40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00

To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!

I hope this helps!

Answer:

[tex]p(e) = \frac{5}{36} [/tex]

Step-by-step explanation:

A dice contains numbers from 1 to 6.

Number whose sum is 8

2 and 6

3 and 5

4 and 4

5 and 3

2 and 6

When two dice is thrown, There are 36 possibilities {6(from the first dice) × 6(from the second dice)}.

Probability of obtaining a sum of 8 is 5/36.

Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

Answer:

The indifference point is 100 minutes.

Step-by-step explanation:

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

First, we need to establish the total cost formula for each plan:

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

Now, to calculate the indifference point, we equal both formulas and isolate x:

23 + 0.08x = 19 + 0.12x

4 = 0.04x

100= x

The indifference point is 100 minutes.

Prove:

Plan A= 23 + 0.08*100= $31

Plan B= 19 + 0.12*100= $31

Answer:

Move it two places to the right

Step-by-step explanation:

For example:

10/3.68=  2.717  

See attached snip

Answer: x=−4.895105y

Step-by-step explanation:

−7x−4y=−4.14x+10y

Step 1: Add 4.14x to both sides.

−7x−4y+4.14x=−4.14x+10y+4.14x

−2.86x−4y=10y

Step 2: Add 4y to both sides.

−2.86x−4y+4y=10y+4y

−2.86x=14y

Step 3: Divide both sides by -2.86.

−2.86x

−2.86

=

14y

−2.86

x=−4.895105y

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Step-by-step explanation:

https://brainly.com/question/18374630

Answer:

a.) -9

Step-by-step explanation:

Because any negative number is less than a positive number, and if you chose 2 they would be equal. and -9 is more than -6 so -9.

Answer:

= 1 R 2

= 1 2/3

Step-by-step explanation:

Answer:

Help with what?

Step-by-step explanation:

Answer:

23 is the answer

Step-by-step explanation:

i holed this helped

Answer : -12

a = 4x

plug in the numbers for a and x

3 - 4(-5)

3-15

-12

Hope this helps!!!

Answer:

4/6

Step-by-step explanation:

it says birds first so the bird number goes first

The ratio of birds to snakes is 2:3 if there are 4 birds and 6 snakes the answer is 2:3.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

There are 4 birds and 6 snakes.

Number of birds = 4

Number of snakes = 6

The ratio = birds: snakes

= 4: 6

On simplifying:

= 2:3

Thus, the ratio of birds to snakes is 2:3 if there are 4 birds and 6 snakes the answer is 2:3.

Learn more about the ratio here:

brainly.com/question/13419413

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Answer:

B

Step-by-step explanation:

Answer:

b.) 350 = 0.25m + 300

Step-by-step explanation:

His earnings are a fixed amount, $300, and a variable amount that depends on the number of miles.

The variable amount depends on the number of miles he drives.

For 1 mile, he earns $0.25

For 2 miles, he earns $0.25 * 2

For m miles, he earns $0.25 * m

The total amount he earns is the fixed amount plus the variable amount

300 + 0.25m or 0.25m + 300

He earned $350, so we get the equation

350 = 0.25m + 300

Answer: b.) 350 = 0.25m + 300

Answer:

48 students on each bus

Step-by-step explanation:

Divide 192/4

ez

x= 6 and y= -6

Step-by-step explanation:

Answer:

x = 6, y = -6

Step-by-step explanation:

After adding the equations together, the 4x and -4x cancel each other out. This makes our new equation:

6y = -36

Divide both sides by 6

y = -6

Plug -6 into y in one of the equations

4x + 8y = -24   =

4x + 8(-6) = -24   =

4x - 48 = -24

Add 48 to both sides

4x = 24

Divide both sides by 4

x = 6

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

Answer:

The number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:

3:1 = C:A .................... (1)

Where;

C = ?

A = 63

Substituting for the value into equation (1), we have:

3:1 = C:63

This can be converted to solve for C as follows:

3 / (3 + 1) = C / (C + 63)

3 / 4 = C / (C + 63)

0.75 = C / (C + 63)

0.75(C + 63) = C

0.75C + (0.75 * 63) = C

0.75C + 47.25 = C

47.25 = C - 0.75C

47.25 = 0.25C

C = 47.25 / 0.25

C = 189

Therefore, the number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Domain of the function (-8, positive infinity)

All of the graphs are correct.

A = 2, B = (2, 1)

The vertical asymptote is x = 3.

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1            +1

f(x) + 1 = 15x

/15         /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15

Answer:

1. The estimate of the proportion of mosquitoes in the area that carry the disease is approximately 0.1606 or 16.06%

2. To check for accuracy of the of the value of proportion of disease carrying mosquito in the area

Step-by-step explanation:

The given parameters are;

The number of mosquitoes in the sample = 137

The number of mosquitoes that carry the disease = 22

1. The estimate of the proportion of mosquitoes in the area that carry the disease = (Number of mosquitoes with the disease)/(The number of mosquitoes in the sample)

The estimate of the proportion of mosquitoes in the area that carry the disease = 22/137 ≈ 0.1606 or 16.06%

2. The reason the scientist run the simulations to find additional possible proportions of mosquitoes in the area that carry the disease is to check for variability and accuracy of the proportion of disease carrying mosquito in the area.

1. The proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

2. To ensure that the proportion of disease-carrying mosquitos in the region is accurate.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

There were 137 mosquitos in the sample,[tex]\rm N_s[/tex]

The number of disease-carrying mosquitos is,[tex]\rm N_m[/tex]=22

The estimated proportion of disease-carrying mosquitos in the region is found as;

[tex]\rm D_m=\frac{N_m}{N_s} \\\\ \rm D_m=\frac{22}{137} \\\\ D_m=16.06 \ %[/tex]

2. The scientists used simulations to determine alternative probable proportions of disease-carrying mosquitos in the region in order to check for variability and accuracy in the proportion of disease-carrying mosquitos in the area.

Hence,the proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

To learn more about the ratio, refer to the link;

https://brainly.com/question/14335762

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