Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?

Answers

Answer 1

Answer:

2m/s

Step-by-step explanation:

Answer 2

Acceleration = force / mass

Acceleration = 40N / 20 kg

Acceleration = 2 m/s^2


Related Questions

Describe how to round 3.987 to the nearest tenth.​

Answers

Answer:

4

Step-by-step explanation:

You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4

To round it to the nearest tenth you have to look at the number beside the tenths place and if that number is 5 or above u round the tenths place up. So since that number is an 8 u round the 9 to 0 which then changes the 3 to 4 so your final answer should be 4.0

A device runs until either of two comonents fails, at which point the device stops running. The joint density function of the lifetimes of the two components, both measured in hours, is f(x,y) = x + y/8 for 0 < x < 2 and 0 < y < 2Calculate the probability that the device fails during its first hour of operation.

Answers

Answer:

The probability that the device fails during its first hour of operation is 0.625.

Step-by-step explanation:

The joint density function of the lifetimes of the two components, both measured in hours, is:

[tex]f(x,y)=\frac{x+y}{8};\ 0<x<2,\ 0<y<2[/tex]

Compute the probability that the device fails during its first hour of operation as follows:

[tex]P[(X<1)\cup (Y<1)]=1-\int\limits^{2}_{1} {\int\limits^{2}_{1} {\frac{x+y}{8}} \, dx } \, dy[/tex]

                                  [tex]=1-\int\limits^{2}_{1} {\frac{x^{2}+2xy}{16}}|^{2}_{1} \, dy\\\\=1- \int\limits^{2}_{1}[{\frac{4+4y}{16}-\frac{1+2y}{16}}] \, dy\\\\=1-\int\limits^{2}_{1}{\frac{3+2y}{16}}\, dy\\\\=1-[\frac{3y+y^{2}}{16}]^{2}_{1}\\\\=1-0.375\\\\=0.625[/tex]

Thus, the probability that the device fails during its first hour of operation is 0.625.

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.

Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Answers

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

Why should a combination lock” actually be called a “ permutation lock”? Provide some examples of combinations and permutations that you use to remember which is which

Answers

Step-by-step explanation:

Well irs a pertuation lock because you are making a unique combination that only you know and an example of this is like 12395 or 9583644 those two are combinations and there are aproximately 64,000e12 combinations

I'll braintlist!!!
Find the value of each expression in lowest terms:


1/6 X 11/4

11/5 X 1/3

14/3 X 1/5

5/3 X 2/5

3/4 X 8/9

5/2 X 2/7

Answers

11/24
11/15
14/15
2/3
2/3
5/7
hope this helps!!!

A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False

Answers

Answer:

The statement provided is False.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

The statement provided is:

"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."

Thus, the statement provided is False.

7. Find the value of x and y:

x=

y=

(10x - 61)

(18y + 5)º

(x + 10)

Answers

Answer:

y = 8º

y = 8º  

Step-by-step explanation:

Given:

(10x - 61)º  

(18y + 5)º

(x + 10)º

Find:

x and y

Computation:

(10x - 61) + (x + 10) = 180

11x - 51 = 180

11x = 231

x = 21º

(10x - 61)º   = (18y + 5)º      [Vertical opposite angle]

10x - 61 = 18y + 5

10x - 18y = 66

5(21) - 9y = 33

y = 8º


Help :( I need this :)

Answers

Answer:

you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.

19. Theodore purchased a vintage painting from an art dealer worth $480. The dealer noted that the value of the painting will increase by 12 percent per year. What is the growth factor of the
painting?
All changes
12
480
0.12
1.12

Answers

0.12 is the answer.

The growth factor of the painting is 0.12

What is percent?

"It is a ratio that can be expressed as a fraction of 100."

For given question,

The value of the painting will increase by 12 percent per year.

The 12% in decimal form,

[tex]=12\times \frac{1}{100}\\\\ =0.12[/tex]

So the growth factor of the painting is 0.12

Learn more about percentage here:

https://brainly.com/question/22111589

#SPJ3

write 3 numbers that make this inequality true: x>4​

Answers

Answer:

8, 10, 24

(Basically every number above 4)

Answer:

5,6 and 7

> means more than or greater than.

In this situation, its asking for numbers greater than 5.

Hope this helps. ;)

Please help me really need help please please will mark brainiest it’s due today at 3:30pm please help me please

Answers

Answer:

8 Hours.

Step-by-step explanation:

Convert 0.49494949 into a fraction. Show all work.

Answers

Answer:

0.49 49

=

49      this is a fraction

99

Step-by-step explanation:

Let

XXX

x

=

0.49

¯¯¯¯

49

then

XXX

100

x

=

49.49

¯¯¯¯

49

and

XXX

99

x

=

100

x

x

=

49

XXX

x

=

49

99

The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.Duration Height240 140237 154122 140267 140113 160258 140232 150105 150186 160248 155243 125241 136214 140114 155272 130227 125237 125238 139203 125270 140218 140226 135250 141245 140120 139267 110103 140270 135241 140239 135Provide your answer below:y = _x + _

Answers

Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8

Allison traveled a distance of 130 miles in 2
1
hours. What was Allison's average driving
speed, in miles per hour?

Answers

65 miles per hour Divide 130 by 2 and you’ll get 65mph :)

Allison's average driving speed in miles per hour is 65.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

130 miles = 2 hours

Divide 2 on both sides.

130/2 miles = 1 hour

65 miles = 1 hour

Thus,

The average speed is 65 miles per hour.

Learn more about speed here:

https://brainly.com/question/7359669

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Help please!! Inverse of Matrix problem!!

Number 8 please!!

Answers

Step-by-step explanation:

Inverse of p matrix is in picture

i wish it will make u easy to do♥️✌️

Jacob has a piece of paper in the shape of a Decagon, how many sides would be there for the
paper.
A) 7
B) 8
C) 9
D) 10

Answers

Answer:

10

Step-by-step explanation:

A decagon is a polygon that has 10 sides !

Answer
10 if I’m not mistaken
Explanation

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

What is the slope of the line whose equation is y-6=2(x+3)?

Answers

Answer:

2

Step-by-step explanation:

y=mx+n m is slope

y-6=2(x+3) so y=2x+12  m=2 is slope.

what does the graph of f(x)=-2/3x+490 represent

Answers

Answer:

search that question up on brainly it got the answer bruu

Step-by-step explanation:

One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.

Answers

I think the answer is 4 + 3x = 16

Find the measure of each angle

Answers

Answer:

All the work and answer is on the screenshot I have attached.

Step-by-step explanation:

Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(1)

Answers

Answer:

100 x 2 x10x5

Step-by-step explanation:

Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.

Answers

Answer:

He got 16 incorrect

Step-by-step explanation:

Answer:

fraction: 3/4

percent: 75%

Step-by-step explanation:

About how many centimeters larger is it ? Round to the nearest hundretdth

Answers

Answer: what is there a picture of it?

Step-by-step explanation:

A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.

Answers

Answer:

C

Step-by-step explanation:

i lied :)

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1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.
2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30.

Answers

Answer:

-0.24 ; 0.71

Step-by-step explanation:

Given that :

Mean number of siblings (m) = 3.76

Standard deviation (s) = 3.18

Z score associated with 3 siblings

x = 3

Using the relation :

Zscore = (x - m) / s

Zscore = (3 - 3.76) / 3.18

Zscore = - 0.76 / 3.18

Zscore = −0.238993

Zscore = - 0.24

2.) proportion of respondents with more than 2 siblings

Using the z probability calculator :

X > 2

Obtain the standardized score :

Zscore = (x - m) / s

Zscore = (2 - 3.76) / 3.18

Zscore = - 1.76 / 3.18

Zscore = −0.5534591

Zscore = - 0.55

Using the z table :

P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912

1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71

The slipe of the line passing through the points (7, 5) and (21, 15) is

Answers

Answer:

5/7

Step-by-step explanation:

You find a slope by using the equation y2-y1/x2-x1.

In this case: 15-5/21-7

10/14

5/7

You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd power. the cost of the material for the base is $0.40 per square cm and the cost of the material for the side is $0.10 per square cm.How to determine the dimension of the box that will minimize the cost of manufacturing. What is the minimum cost? in dollars and rounded to the nearest cent.

Answers

Answer:

$69.21

Step-by-step explanation:

Since the box has a square base the length and breadth of the box will be equal. Let it be [tex]x[/tex]

Let h be the height of the box

V = Volume of the box = [tex]620\ \text{cm}^3[/tex]

[tex]x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}[/tex]

Now surface area of the box with an open top is given

[tex]s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}[/tex]

Differentiating with respect to x we get

[tex]\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}[/tex]

Equating with zero

[tex]0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74[/tex]

Double derivative of the function

[tex]\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0[/tex]

So, x at 10.74 is the minimum value of the function.

[tex]h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37[/tex]

So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.

The total area of the sides is [tex]4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2[/tex]

The area of the base is [tex]x^2=10.74^2=115.35\ \text{cm}^2[/tex]

Cost of the base is $0.40 per square cm

Cost of the side is  $0.10 per square cm

Minimum cost would be

[tex]230.7\times 0.1+0.4\times 115.34=\$69.21[/tex]

The minimum cost of the box is 69.21 dollars.

Give the slope between the points
(-2,3) (-5, -9)

Answers

m = (-9 - 3) / (-5 - -2)
m = -12 / -3
m = 4

The slope is 4.
the slope is 4. i hope this helped:)

OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted

Answers

Answer:

A)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

Step-by-step explanation:

Total Number of letters = 52

Number of upper case letters = 26

Number of lower case letters = 26

Number of digits ( 0 - 9 ) = 10

special characters = 3

password = 6 characters

Therefore the total number of choices = 52 + 3 + 10 = 65

A) The password must begin with a letter (either upper or lower case)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  The password must begin with a letter and end with a special character ($, !, ?):

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

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Is 13 a solution to the compound inequality d>5 and x Which values from the given replacement set make up the solution set of the inequality? 5n>24 ; {2, 3, 4, 5, 6} A. {2, 3} B. {3, 4} C. {4, 5, 6} D. {5, 6} What if it like this Which of these groups benefited from American trade policy during the early years of the war in Europe? (5 points) a.U.S. government b.American banks and businesses c. Allied soldiers fighting the Germans d. leading politicians and generals (3x2)(2x4) = 3(2)x24 = 6x8 can you find whats wrong with this problem What is the basic climate in Winnipeg?(please don't get the answer from google!) Please help me with this Who is the 46th president of America? Una fuerza resultante constante de mdulo igual a 40 [N], acta sobre un cuerpo que se mueve en lnea recta.Que distancia ha recorrido ese cuerpo si su energa cintica vari en 8 [J]? Qu quiere decir si la probabilidad se acerca al 100%? Claire's car averages 21 miles per gallon of gas. At that rate, how far would it go on 21 gallons? * Why Teddy Roosevelt's foreign policy called Big Stick Diplomacy? Please hurry please complete the point-slope equation of the line through (1,0) and (6,-3) Which answer best describes the problem with the Mandate of Heaven? A. It relies on divine intervention to determine if an emperor acting in an upright manner. B. It was a fictional concept used to explain the destruction of the mythical Xia dynasty. C. It was based on the teachings of Confucius who was never accepted by the Chinese emperors. Steph makes and sells birthday cakes. Each cake costs 54 to make.She makes a profit of 15% on each cake.What is the selling price of Steph's birthday cakes?(2 marks)= Enter an equation in standard form to model the linear situation. A bathtub that holds 23 gallons of water contains 13 gallons of water. You begin filling it, and after 5 minutes, the tub is full. f(x) = 2x + 1h(x) = one-halfx one-halfh(x) = one-halfx + one-halfh(x) = one-halfx 2h(x) = one-halfx + 2 Does anyone know how to do it? Which quotation from the poem "Sonnet in Primary Colors by Rita Dove includes an allusion?Each night she lay down in pain and roseAnd rose to her easel, the hundred dogs panting Diegos / love a skull in the circular windowof the thumbprint searing her immutable brow