a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm

Answers

Answer 1

Answer:

A. 31 cm

Step-by-step explanation:

Hopefully its right :)


Related Questions

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

12. It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480

Answers

Answer:

25p+45 < 480

Step-by-step explanation:

Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?

Answers

905 mph because of the 7 minutes

The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function​

Answers

Answer:

So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.

So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.

Hope you understood if you didn't drop a comment and I will try to reply.

Helppppppp lol idk what I’m doing

Answers

Answer:

C

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"times" means multiplication

"a number" = n

"plus" means addition

"3" = 3

"is" means equal

"12" = 12

Step 2: Set up equation (combine)

5n + 3 = 12

Answer:

C

Step-by-step explanation:

a number represents n

is represents =

times represents multiplication

plus represents addition

5 times n plus 3 is 12

so this means

5n+3=12


Store B sells a set for $27.00 and offers a 20% discount

Answers

Answer:

22.50

and you can pleasent do 22.50

Step-by-step explanation:

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical

What’s 1.2983 rounded to the nearest hundredth

Answers

1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!

Answer:

1.30 :)

All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !

Hope this helped !!!

Step-by-step explanation:

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

How long does it take for the baseball to reach its maximum height? (2)
b. What was the initial height of the ball? (2)


form A : h(t)= -16t^2 + 96t +7
form b: -16(t-3)^2 +151


help please

Answers

Answer: ha no way have the same question

Step-by-step explanation:

Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?

Answers

Answer:

okay now i get it its not easy at first but look at it for a bit and yoll get it

¾ divid ⅖=n
Pleas answer i need a answer

Answers

15/8 or 1 7/8 if u need the decimals 1.875

Which equation represents the vertical line passing through (7,-3)?
A
X=-3
B. y=-3
C.
x=7
D.y= 7

Answers

Answer:

a

Step-by-step explanation:

(0,-3)

-3 x axis form a vertical line

Answer:

c. x=7

Step-by-step explanation:

Identify next 3 numbers in this sequence 2,6,3,9,6,18,15

Answers

i know that so far it goes +4, -3, +6, -3, +12, -3, ? i’m not really sure but it COULD be 19, 16, 22?

I need help with this

Answers

Answer: B. 8 x 10^3

Step-by-step explanation:

b. 8 x 10³

hope this helps

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Write and inequality for the graph.

Answers

Answer:

Step-by-step explanation:

1 5/16 divided by 7/12

Answers

2.25 this is the correct answer

I don’t understand what this means

Answers

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Quadrilateral GHJK has vertices G(2, 3), H(8, 2), J(6, 8), and K(3, 6). It is transformed according to the rule T(–4, –5).

What are the coordinates of G”?

(–7, 3)
(–2, 2)
(–1, –7)
(2, –2)

Answers

Answer:

the transformation T(a, b) can be change the pre image to the final image by following the rule as we explain below

if A(x, y) is a pre image, then A ' ( x', y') is its image, and x' = a+x, y' = b + y, where because of T(a, b) transformation

in our case Quadrilateral GHJK has vertices G(2, 3), so the coordinates of G”

can be found with

T(-4, -5) applied to G(2, 3) ⇒ G' (-4 +2, -5+3)=G' (-2, -2)

T(-4, -5) applied to G' (-2, -2) ⇒ G"(-4-2, -5-2) =G"(-6, -7)

the coordinates of G” are (-6, -7)

Step-by-step explanation:

i hope it helps?

Answer:

its c on edg (-1, -7)

Step-by-step explanation:

Complete the statement. If a transversal intersects two parallel lines, then _____

A) alternate interior angles are always congruent.

B) same-side interior angles are always complementary.

C) same-side exterior angles are always complementary.

D) corresponding angles are always supplementary.

Answers

Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

Find the limit
(calculus)

Answers

Answer:

0

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]

Step 2: Substitute in infinity

[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]

We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.

[tex]\lim_{x \to \infty} e^{-\infty}[/tex]

We can simplify a negative exponent into a fraction.

[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]

We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.

Therefore, we would be approaching 0.

I have 47 red marbles and 76 blue marbles estimate the total number of marbles I have

Answers

Answer:

about 130 marbles

Step-by-step explanation:

round 47 to 50

round 76 to 80

you have about 130 marbles

Answer:

About 100.

Step-by-step explanation:

47+76=123

123 is closer to 100 than to 200.

The country of Honduras has a population of 8.2 million. There were 7,172 homicide deaths there in 2014.


Express the deaths per capita as a decimal rounded to 6 decimal places.


Express the deaths per capita in Scientific Notation.


Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the

Answers

Answer:

a)Express the death per capita as a decimal rounded to 6 decimal places

0.000875 death per capita

b) Express the death per capita in Scientific notation

8.75 × 10^-4 death per capita

c) 279883 deaths

Step-by-step explanation:

a) Express the death per capita as a decimal rounded to 6 decimal places

The formula for Death Per capita is given as

Number of deaths/ Total population

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

Death per capita = 7172/8200000

Death per capita = 0.00087463414 death per capita.

Approximately to 6 decimal places

= 0.000875 death per capita.

b) Express the death per capita in Scientific notation

The death per capita = 0.000875

In Scientific notation = 8.75 × 10^-4 death per capita

c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

The United States has a population of about 320 million

Death per capita in Honduras : Death per capita in United States

7172/8200000 : x/320,000,000

7172/8,200,000 = x/320,000,000

Cross Multiply

7172 × 320,000,000 = 8,200,000 × x

x = 7172 × 320,000,000/8,200,000

x = 279882.926829 deaths

Approximately to the nearest person = 279883 deaths

you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?

Answers

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

Anthony wants to make a discretionary purchase of a basic laptop computer. He checks the prices of a particular make and model listed by seven different venders on a shopping comparison website. He found these prices: $850, $798, $2,400, $790, $836, $700, and $780. He computes the mean as $1022.

Answers

Answer:

He computes the mean as $1,022.

Step-by-step explanation:

Drove 260 km using 12 liters of gas at this rate how many liters of gas would he need to drive 286km

Answers

Answer:

We calculate the amount of gas used per km and multiply it by 286

Step-by-step explanation:

If we drive for 260km and use 12 litres of gas that means that we use

[tex]\frac{12}{260}[/tex] litres per km.

Now we multiply it by 286:

[tex]\frac{12}{260} *286 = \frac{858}{65} = 13.2[/tex]

So, the answer is 13.2 litres.

Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.


Question 2:

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.

For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

Answers

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75

Which teacher-to-student ratio maintains the proportional relationship described in the table?

Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125

Answers

Answer:

no one and i am doing time pass and

6 130 will be a right answer

whe it is rong i am sorry

Answer:

6 teachers, and 130 student's

Step-by-step explanation:

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

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Answers

Answer:

y = -3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

slope m = -3

y-intercept = -8

Step 2: Plug into equation

y = -3x - 8

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