Write each prime factorization using exponents.
1. 2×2×2×7
2. 2×3×3
3. 7×7×7×7

Answers

Answer 1
1). 2³ x 7
2). 2 x 3²
3). 7⁴

Related Questions

Can someone help please?

Answers

Answer:

f htsbfzsrgbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

fxmynhyxmyrjnbvd

which number is the additve inverse of -5

Answers

Answer:

Additive inverses add to 0. The additive inverse of a number is the opposite of the number.

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

Answers

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

The depth of the Mariana Trench is 10,911m. Convert the depth to kilometers.

Answers

Answer:

Step-by-step explanation:

Now I didnt solve the question but if you do a google search on how many metres in a kilometre, then divide km by metres

Answer:   10.911

Step-by-step explanation:

an equivalent ratio to the tape diagram shown is to​

Answers

What’s the question? I kind of need a picture to do the question

Answer:

it is 16 to 32

Step-by-step explanation:

if you divided 16 by 8 and 32 by eighth you get 2:4

The equation Ax + By = 14 goes through the coordinates (-7, -4) and (14, 2).
What are the values of A and B?

Answers

Answer:

A=-6

B=7

Step-by-step explanation:

We want to solve for the values of A and B.

let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.

then we solve simultaneously

-7A-4B=14---------1

14A+2B=14--------2

-14A+-8B=28---------3

14A+2B=14------------2

0-6B=42

6B=42

B=42/6

B=7

put B=7 in eqn 1 we have

-7A-4(7)=14---------1

-7A-28=14

-7A=14+28

-7A=42

A=42/-7

A=-6

The values of A and B are 3 and -7 respectively

In order to determine the values of A and B,

First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).

Using the formula for determining the equation of a line with two given points,

[tex]\frac{y-y_{1} }{x -x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

From the question

x₁ = -7

y₁ = -4

x₂ = 14

y₂ = 2

Putting these values into the equation,

We get

[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]

∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]

[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]

This becomes,

[tex]6(x+7) = 21(y+4)[/tex]

Clearing the brackets

[tex]6x + 42 = 21y + 84[/tex]

Then,

[tex]6x -21y = 84 -42[/tex]

[tex]6x -21y = 42[/tex]

Dividing through by 3

We get

[tex]3x - 7y = 14[/tex]

∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]

Now, we will compare the above equation to the equation given.

The given equation is Ax + By = 14

By comparing

A = 3 and B = -7

Hence, the values of A and B are 3 and -7 respectively

Learn more here: https://brainly.com/question/21967006

Whata 7,500lb= to tons what's it

Answers

Answer:

3.75 tons djdhdjrjrhejejjwjwjsjs

Answer:

3.75 US tons

Step-by-step explanation:

1 ton =2000 pounds

so  7,500÷2000 =3.75

Wilbur has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. He will randomly select 2 coins from the bag, one at a time, without replacement. What is the probability that Wilbur will select a dime first and then a penny? A) 0.1 B) 0.04167 C) 0.03906 D 0.04444 ​

Answers

b. you would multiple the odds of drawing a dime from the 16 coins (10/16) times getting a penny from the remainder of coins (1/15) and get .04167.

What is the sum of 16.5 x 10 exponent 4

Answers

165,000, because of what he said

eight water faucets having the same rate of flow,fill a tank in 27 minutes.If two faucets are turned off,how long will the remaining 6water faucets take to fill the tank?​

Answers

Answer:

36 minutes

Step-by-step explanation:

If x is the flow rate of each faucet, then 8x is the flow of eight faucets, and the volume of the tank is:

V = (8x) (27)

V = 216x

When there are six faucets, the time is:

216x = (6x) t

t = 36

If anyone is willing to try and answer this go ahead

Answers

Answer:

X intercept: x = 4 or in point form (4,0)

Zero for the function at (4, 0)

Y intercept : y = 160  or in point form (0,160)

slope = -40  mph

Step-by-step explanation:

The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.

The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:

slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40

and the units of the slope are miles over hour (that is miles per hour or mph)

solve the inequality and graph its solutions on a number line. 5x+3<3(x+2)

Answers

Answer:

B

Step-by-step explanation:

how many numbers are between k and n

Answers

Answer:

n-k-1

Step-by-step explanation:

n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that

got it?

=)

oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.

If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.

Help lol I don’t know what to do

Answers

Answer:B

Step-by-step explanation:

Answer:  B) 4+2n = 8

=========================================

Explanation:

n = some unknown number

2n = twice a number

4+2n = four more than twice a number

4+2n = 8 since the "is" means "equals"

Below is a diagram showing the word problem broken up in a table form

solve the following inequality.
6.3r < -45.36
which graph shows the correct solution?

A) Open circle pointing to the right, starting from -72 to infinity
B) Open circle pointing to the left, starting from -72 to infinity
C) Open circle pointing to the right, starting from -7.2 to infinity
D) Open circle pointing to the left, starting from -7.2 to infinity

Can u help please?? ​

Answers

I’m it might be B hope this helps

Answer:

D. Open circle, point is at -7.2 pointing to the left.

Step-by-step explanation:

Got it right on Edge 2021! Hope I helped <3

The large Ferris wheel makes a revolution in 60 seconds. The small Ferris wheel makes one revolution in 20 seconds. How many seconds will pass before Jeremy and Deborah are both at the bottom again?

Answers

Answer:

120 seconds

Step-by-step explanation:

60         20

120        40

180       60

            80

            100

            120

What is 5/8 divided by 1/4?​

Answers

Answer: 2.5

Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.

85 miles on 8 gallons of gas

Answers

Answer:

11.6 miles per gallon

Step-by-step explanation:

Answer:

11.6 miles per gallon

Step-by-step explanation:

just divide

In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°

Answers

This standalone question doesn’t make sense; are you sure that there is no required image that you forgot to attach?

Answer:

Its A, B, D, and F

Step-by-step explanation:

On edge2021

The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?c) Which two variables are most likely to be measured on a ratio scale?d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?

Answers

Step-by-step explanation:

a. nominal scales

occupation

Favorite beverage

b. Interval but not ratio.

Typing speed

c. ratio scale.

age

Handedness (e.g., left or right handed)

d. Ordinal scale of measurement but not a true interval scale.

Self-report of Assertiveness

year of birth

the sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have

Answers

9514 1404 393

Answer:

  31

Step-by-step explanation:

The relationship between sides and the sum of angles is ...

  sum of angles = (sides - 2)·180°

Filling in the given value and solving for "sides", we get ...

  5220 = (sides -2)180

  29 = sides -2 . . . . . . . . . divide by 180

  31 = sides . . . . . . . . . . . . add 2

The polygon has 31 sides.

Answer:

31

Step-by-step explanation:

5220/180=29+2=31

Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (A) Identify two points on the line and write the coordinate pairs below. (B) Use your two points to find the slope, and make sure to show your work. (C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form. (D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day? 2 SEE A

Answers

Answer:

See below

Step-by-step explanation:

Note: missing graph is attached

Solution

A) The two points are:

(4, 19) and (7, 7)

B) Slope formula: m = (y2-y1)/(x2-x1)

m = (7 - 19)/(7-4)m = -12/3m = -4

C) Point-slope formula:

y - y1 = m(x - x1)

Using one of the points we get:

y - 19 = -4(x - 4)

D) Delivery time on Day 0:

y - 19 = -4(0 - 4)y - 19 = 16y = 16 + 19y = 35 minutes

Delivery time decreases by the value of the slope which is 4 minutes per day

HELPP !I'm stucked at question b. can somebody help me? I'm not sure when should I change the sign thank you! ​​

Answers

Answer:

dang

Step-by-step explanation:

that looks hard

0.16
As a repeating fraction

Answers

Answer:

0.16161616161616161616161616161616161616161616161616

Step-by-step explanation:

just keep adding whats repeating or put a bar on top of the 16


O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer:

Find the midpoint of the line segment joining the points ​R(​,​) and ​S(​,​).

Step-by-step explanation:

What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet

Answers

Here is your answer
the answer is 6x^2+7x-3
u would foils the two terms as shown below

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:

a hill rises 10 meters over horizontal distance of 8 meters
calculate the slope

Answers

Answer:

Slope = 5/4

Step-by-step explanation:

GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distribution), he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. (There is no end to the fun of traveling with the author.) The ages (in years) are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxis. Use α= 0.05 significance level to test the claim that in Dublin, car ages and taxi ages have the same variation.

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8
Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

Answers

Answer:

The  Decision Rule

Fail to reject the null hypothesis

The conclusion

 There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

   The data is  

      Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

     Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

      The  level of significance [tex]\alpha = 0.05[/tex]

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

                  the alternative hypothesis is   [tex]H_a  :  \mu_1 - \mu_2 >  0[/tex]

Generally the sample mean for the age of  cars is mathematically represented as

        [tex]\= x_1 = \frac{\sum x_i }{n}[/tex]

=>     [tex]\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8 }{27}[/tex]

=>     [tex]\= x_1 = 5.56[/tex]

Generally the standard deviation of age of  cars

     [tex]\sigma _1  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]

=>  [tex]\sigma _1  = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }[/tex]

=>  [tex]\sigma _1  =  3.88 [/tex]

Generally the sample mean for the age of taxi is mathematically represented as

        [tex]\= x_2 = \frac{\sum x_i }{n}[/tex]

=>     [tex]\= x_2 = \frac{8 +8 +0  + \cdots + 4 }{20}[/tex]

=>     [tex]\= x_2 = 5.85 [/tex]

Generally the standard deviation of age of  taxi

[tex]\sigma _2  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]

=>  [tex]\sigma _2  = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }[/tex]

=>  [tex]\sigma _2  = 2.83 [/tex]

Generally the test statistics is mathematically represented as

   [tex]t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1}  + \frac{\sigma^2_2}{n_2} }  }[/tex]

=> [tex]t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27}  + \frac{(2.83)}{20} }}[/tex]  

=> [tex]t = -0.30 [/tex]  

Generally the degree of freedom is mathematically  represented as

   [tex]df =  n_1 + n_2 -2[/tex]

    [tex]df =  27 +  20 -2[/tex]

    [tex]df =  45[/tex]

From the t distribution table  the [tex]P(t >  t )[/tex] at the obtained degree of freedom = 45 is  

   [tex]P(t >  -0.30 ) = 0.61722067[/tex]

So  the  p-value  is

    [tex]p-value  =  P(t >  T) =  0.61722067[/tex]

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

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

help me please i’ll give u a cookie

Answers

Answer:

the answer is B

Step-by-step explanation:

i just did this.

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