Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices

F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.

G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..

H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.

J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..

Answers

Answer 1

Answer:

H:  It will stretch the same spring 1,840 cm because the equation is y equals 5x.

Step-by-step explanation:

800=y

160and368=x

You find the answer by dividing,

⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈

800 divided by 160 equals 5 which means the equation is y equals 5x

and 368x5=1,840

also, do you go to college park?


Related Questions

-4(-6 + 2) =

A)-16
B)-32
C)-8
D)16

Answers

Step-by-step explanation:

[tex] - 4( - 6 + 2) [/tex]

[tex] - 4( - 4) = + 16[/tex]

Answer: A)-16

Step-by-step explanation:

The distance between two cities is 325 miles.
If the scale on a map reads 1 inch = 50 miles,
what is the distance between the two cities
on the map?

Answers

About 50 miles. hope this helps!
6.5 inches

325miles divided by 50 miles = 6.5
6.5 x 1 inch = 6.5 inches

HELP HELP HELP
{TRUE OR FALSE}
a rational fraction is not defined for the values of x that make the denominator zero

Answers

Answer:

ture

Step-by-step explanation:

anything that divide by 0 is not defined.

The height of a triangle is 6 units less than twice the base length if the height is 18 units, what is the base length

Answers

Answer:

12 units

Step-by-step explanation:

h=2x-6

18=2x-6

24=2x

12=x

6x + ? = -10x

? =
Does anyone know this.

Answers

Answer:

-16x

Step-by-step explanation:

6+(-16)=-10. If they all have "x", just combine like terms.

Answer:

?=-16x

Step-by-step explanation:

6x+?=-10x

-6x     -6x

    ?=-16x

I hope this is right, I don't know how to get the exact value of ? but if the ?  was a number I would be able to solve for x.

i need help! can you also explain it?

Answers

Answer:

Number B

Step-by-step explanation:

14 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route.

Answers

Answer:

29568

Step-by-step explanation:

Given that:

Length of road = 2 miles

Number of people who can fit in a area of 5 feet by 5 feet = 14

To find:

Number of people that can fit in the road of the given dimensions.

Solution:

Given that one side 2 miles wide and 5 feet deep.

First of all, we need to find number of 5 feet by 5 feet block that can be made in the given dimensions.

2 miles = 10560 feet

Number of blocks = [tex]\frac{10560}{5}[/tex] = 2112

Number of persons that can fit in one block = 14

Number of persons that can fit in 2112 blocks = 14 [tex]\times[/tex] 2112 = 29568

Therefore, the answer is: 29568

can Someone help me with this math problem

Answers

Sorry just need points

From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.

Answers

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's  sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

[tex]n = 26.8(0.85)^t[/tex]

Solving (a): The decay factor

An exponential function has the form

[tex]y = ab^x[/tex]

Where b is:

[tex]b = decay\ factor\ or\ growth\ factor[/tex]

By comparison:

[tex]b = 0.85[/tex]

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

[tex]P = 1 - b[/tex]

Substitute 0.85 for b

[tex]P = 1 - 0.85[/tex]

[tex]P = 0.15[/tex]

Convert to percentage

[tex]P = 0.15*100\%[/tex]

[tex]P = 15\%[/tex]

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]

[tex]n = 26.8(0.85)^2[/tex]

[tex]n = 26.8*0.7225[/tex]

[tex]n = 19.363[/tex]

PLZ PLZ PLZ HELP MEEEE

Answers

Answer:

open comment

please mark me brilliant

I Believe the answer is 16 and 4

13 - 0.69 = 0.05
Please help

Answers

what do you need help with? please explain the problem you are giving because i don’t seem to understand.

Determine whether the relation is a function. Explain. {(3, 9), (4, 8), (–7, 4), (0, 4), (2, 4), (3, 5), (–3, 8)} a. Yes, each x-value is paired with exactly one y-value. b. No, there is a y-value paired with more than one x-value. c. No, there are no negative y-values. d. No, there is an x-value paired with more than one y-value.

Answers

the relation would not be a function since there are two x values that got to one y value.

1 is 25, percent of what number

Answers

Answer:

Step-by-step explanation:

0.25

Answer:4

Step-by-step explanation:

What system of linear inequalities is shown in the graph?
Enter your answers in the boxes

Answers

(-3,2) all numbers with cover the shade

ABCD is a rectangle. What is the value of x? А 56 m 65 m A. 9 meters B. 28 meters C. 33 meters D. 65 meters​

Answers

C sorry if I’m wrong hope this helps

I don't understand, help.​

Answers

9514 1404 393

Answer:

x = 20°y = 70°

Step-by-step explanation:

The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...

  x + x = 40°

  x = 20°.

x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.

  y = 90° -x = 90° -20°

  y = 70°

_____

Additional comments

The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...

  x° +x°+140° = 180°

  2x° = 180° -140° = 40°

That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.

What is 6.5 divided by 2.6 Equivalent Expression

Answers

Answer:

650÷26 I think hope this help

Write the equation of the line based on the graph below

Answers

Answer

(-2,4)

Or

(4,-2)

Not sure ‍♀️

Answer:

The answer is

[tex]y = 2x + 4[/tex]

Step-by-step explanation:

Remember ↷

[tex]Slope = \frac{rise}{run} [/tex]

HELP PlZ DUE in 30 MIN
m∠6 =

Answers

Answer:

Angle 6 is 47°

Step-by-step explanation:

Need help pls very important 25 points here for person who gives good answer will get brainlyest

Answers

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

ANSWER NOW AND YOU GET 20 and ill answer one of ur questions

Answers

Answer:

300 gallons per hour.

Step-by-step explanation:

It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.

75 x 4 = 300

A circle has a diameter with endpoints
C(20, -21) and D(-20, 21). Determine the equation of the circle.

Answers

Answer:

x² + y² = 841

Step-by-step explanation:

Midpoint of diameter is a center of a circle.

Coordinates of midpoint are

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex]

Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²

~~~~~~~~~~

C(20, 21)

D(- 20, 21)

( [tex]\frac{-20+20}{2}[/tex] , [tex]\frac{-21+21}{2}[/tex] ) = (0, 0)

d = [tex]\sqrt{(-20-20)^2 +(21+21)^2}[/tex] = √3364 = 58

r = [tex]\frac{d}{2}[/tex] = 29

x² + y² = 29²

x² + y² = 841

can i please get some help on this?

Answers

what is it? show us the problem

Answer:

Bro? wheres the question ?

The population of a small town is changing at a rate of —255 people per year. How long will it take for the change in population to be —2,040 people?

Answers

Answer:

Solution in photo

Step-by-step explanation:

Plz help me with this

Answers

9514 1404 393

Answer:

growth2.3%

Step-by-step explanation:

The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.

When x increases by 1, the multiplier of 800 increases by ...

  1.00575^4 ≈ 1.023199 = 1 + 2.3199%

Rounded to the nearest tenth percent, this is a 2.3% growth rate.

_____

Additional comment

The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.

y=3x−7 Complete the missing value in the solution to the equation. (1,_)

Answers

Answer:

y= -4

Step-by-step explanation:

Since x=1, then you would plug in 1 for x. 3 times 1 is 3, then you subtract 7 to get -4.

what is the answer for y=−16x^2 +119x +73

Answers

Answer:

Im pretty sure the answer is y=375x+73

Im not really sure

3(8 - x) = 7x - 6
I need help

Answers

The answer to your question is 3

x = 3

I solved for x cause I wasn't exactly sure what you wanted.

Find the slope of the line -x = -3y + 9

Answers

Answer:

m= 1/3

Step-by-step explanation:

The slope would be M= 1/3

The half-life of carbon 14 is 5, 730 years. How much would be left of an original 50-
gram sample after 2, 292 years?

Answers

Given :

The half-life of carbon 14 is 5,730 years.

To Find :

How much would be left of an original 50- gram sample after 2, 292 years.

Solution :

We know, rate law for first order reaction is given by :

[tex][A] = [A_o]e^{-kt}[/tex]   ...1)

Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.

And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]

Putting value of half time in above equation, we get :

[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]

Putting value of k in equation 1) , we get :

[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]

Hence, this is the required solution.

Answer: i have zero clue lol

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