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Lisa [10]
3 years ago
11

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0
M/s=30/9 =10/3

so, 3m=10s
Scrat [10]3 years ago
5 0

Answer:

s =  (3 cm)/(10 g)*m

Step-by-step explanation:

The length of a spring varies directly with the mass means that the equation has the next form: s = k*m, where m refers to the mass of the object and s refers to the length of the spring. If a 30-gram object is attached, the spring stretches 9 centimeters, then:

s = k*m

9 cm = k*30 g

(9 cm)/(30 g)  = k

(3 cm)/(10 g)  = k

Therefore, the equation is s =  (3 cm)/(10 g)*m

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elena-14-01-66 [18.8K]
Triangle has 180 degrees:
180=2m-3+m+4+3m+5
Combine like terms
180 = 6m+6
Subtract 6 from 180
174=6m
Divide by 6
m=29

Brainliest if that helped, please :)
5 0
2 years ago
Read 2 more answers
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confide
FrozenT [24]

Question:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of ​$114.00. Assume the population standard deviation is ​$15.30. Construct a​ 90% confidence interval for the population mean.

Answer:

At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516

At the 95% confidence level, confidence interval = 109.53 < μ < 118.48

The 95% confidence interval is wider

Step-by-step explanation:

Here, we have

Sample size, n = 45

Sample mean, \bar x = $114.00

Population standard deviation, σ = $15.30

The formula for Confidence Interval, CI is given by the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where, z is found for the 90% confidence level as ±1.645

Plugging in the values, we have;

CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}

or CI: 110.2484 < μ < 117.7516

At 95% confidence level, we have our z value given as z = ±1.96

From which we have CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}

Hence CI: 109.53 < μ < 118.48

To find the wider interval, we subtract their minimum from the maximum as follows;

90% Confidence level: 117.7516 - 110.2484 = 7.5

95% Confidence level: 118.47503 - 109.5297 = 8.94

Therefore, the 95% confidence interval is wider.

8 0
3 years ago
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earnstyle [38]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Solve for x then solve for b
trasher [3.6K]

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78°  ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

                 then solve for x:

  • isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

  • ∠B= 2x + 114°

    = 2(6) + 114°

    =12 + 114°

    =126°

3 0
3 years ago
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Solve for x. <br>0.71= 1/2(9.8) x^2. ​
Fudgin [204]

Answer: 0.38065

in simpler terms x=±  0.145  =±0.38065

Step-by-step explanation: -490x2+71 = 0  

Subtract  71  from both sides of the equation :  

                     -490x2 = -71

Multiply both sides of the equation by (-1) :  490x2 = 71

Divide both sides of the equation by 490:

                    x2 = 71/490 = 0.145

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 71/490  

The equation has two real solutions  

These solutions are  x = ±√ 0.145 = ± 0.38065  

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3 years ago
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