Write 162 as a product of primes.
Use index notation when giving your answer.

Answers

Answer 1
162= 2*3*3*3*3
=2*3^4

Related Questions

80 POINTS This is a picture of Joseph Stalin, Franklin Roosevelt, and Winston Churchill at the Tehran Conference in 1943. They were the leaders of the Soviet Union, the United States, and the United Kingdom. During World War II, these men were known as the "Big Three" because they led
A.
the most powerful of the Allied countries.
B.
countries that had declared war on each other.
C.
the countries that suffered the most casualties in the war.
D.
the only countries fighting against Nazi Germany.

Answers

Option A. They led the most powerful of the Allied countries.

Pls pls help I’ll mark u brainliesttt

Answers

Answer:

89.44

Step-by-step explanation:

[tex]120^2-80^2=8000[/tex]

[tex]\sqrt{8000} = 89.44[/tex]

Find the area of the trapezoid

Answers

Answer:

20 is the answer

Step-by-step explanation:

I did the math.hope it helps :)

I need this please quick
No links
16 points!

Answers

Likely, unlikely,likely

Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.
What will be the value of his car in year 10?
PLEASE GIVE ME THE ANSWER!!

Answers

Answer:

$1,158.08

Step-by-step explanation:

The value of the car in year 10 is $1158.08

How to determine the car value in year 10?

From the table, we have the following points

(x, y) = (1,5000) and (2,4250)

Start by calculating the rate of depreciation using:

r = y2/y1

So, we have:

r = 4250/5000

Evaluate

r = 0.85

The value of the car in nth year is calculated using:

y = y1 * r^(n - 1)

For the 10th year, we have:

y = 5000 * 0.85^(10 - 1)

Evaluate the product

y = 1158.08

Hence, the value of the car in year 10 is $1158.08

Read more about depreciation at:

https://brainly.com/question/25806993

Could someone help answer this? Thanks!

The limit of a function y=f(x) at x=a is sometimes best understood as the approximate height of the function around x=a based on the values around x=a whereas the value of the function f at x=a is the exact height of the function at that point. Consider two functions 1) f(x)=x+1 and g(x)=(x^2-1)/(x-1). Answer the following questions. (a) Discuss the process of finding the limit x->1 f(x). (b) How does it differ from f(1)?

Answers

a) The process to find the limit is given as follows:

f(x): simply replace x by 1.g(x): factor and then replacing.

b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.

How to calculate the limit of a function?

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

Hence:

lim x -> 1 f(x) = 1 + 1 = 2.lim x -> 1 g(x) = (1² - 1)/(1 - 1) = 0/0.

For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.

Applying the subtraction of perfect squares, we have that:

x² - 1 = (x - 1)(x + 1).

Then:

g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.

Meaning that the limit is then calculated as follows:

lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.

More can be learned about limits at brainly.com/question/26104792

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A student believes that the average grade on the statistics final examination was 87. A sample of 36 final examinations was taken. The average grade in the sample was 83.96 with a standard deviation of 12. The student wants to test whether the average is different from 87 at 90% level of confidence. Compute the p-value for this test.

Answers

Answer:

The p-value for this test is 0.1375.

Step-by-step explanation:

A student believes that the average grade on the statistics final examination was 87. The student wants to test whether the average is different from 87 at 90% level of confidence.

At the null hypothesis, we test if the average is 87, that is:

[tex]H_0: \mu = 87[/tex]

At the alternate hypothesis, we test if the average is different from 87, that is:

[tex]H_a: \mu \neq 87[/tex]

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

87 is tested at the null hypothesis:

This means that [tex]\mu = 87[/tex]

The average grade in the sample was 83.96 with a standard deviation of 12. Sample of 36

This means that [tex]X = 83.96, s = 12, n = 36[/tex]

Value of the test-statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{83.96 - 87}{\frac{12}{\sqrt{36}}}[/tex]

[tex]t = -1.52[/tex]

Pvalue:

Probability of the sample mean differing of 87, which means that we have a two-tailed test, with t = -1.52 and 36 - 1 = 35 degrees of freedom.

With the help of a calculator, the pvalue is of 0.1375.

The p-value for this test is 0.1375.

Card 7 * Caleb can ride his bike 30 miles in 2 hours. At this rate, how long will it take him to ride 75 miles?​

Answers

Answer:

5 Hours

Step-by-step explanation:

2 : 30 = 1 : 15

75 ÷ 15 = 5

Answer:

5 hours

Step-by-step explanation:

30/2 = 15 miles per hour

75/15 = 5 hours

find each angle measure to the nearest degree
4) Find m.
10 cm
15 cm
'R
will mark brainliest if correct

Answers

Answer: QP=11.18cm;

QP=11.18cm;

m<Q=42;m<R=48*

Step-by-step explanation:

Hope this helps and the 48 degree

y = x2 - 6x-16

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

6 = z/4.5

please answer

Answers

Answer: z= 1.3

Divide both side by 4.5

tell me all the questions of this

Answers

Answer:

To find the radius..just divide them by two

For the diameter multiply by two

Circumference formula is

[tex]2\pi \: r[/tex]

What is the measure of c?​

Answers

Answer:

45 degrees

Step-by-step explanation:

The questions on a multiple choice test have four answer choices.

Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?



(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)

Group of answer choices

A. flipping a coin 50 times

B. spinning a spinner with 4 equal sections 50 times

C. rolling a 6-sided die 50 times

D. spinning a spinner with 50 equal sections four times

Answers

Answer: spinning a spinner with 4 equal sections 50 times

Step-by-step explanation:

The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.

Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.

Therefore, the correct option is B.

find the area of the polygon.






Answers

Answer:

174 ft²

Step-by-step explanation:

The polygon cam be decomposed into two rectangles.

The area of the polygon = rectangle A + rectangle B

Area of rectangle A = L* W

L = 18 ft

W = 9 ft

Area of rectangle A = 18*9 = 162 ft²

Area of rectangle B = L* W

L = 20 - 18 = 2 ft

W = 6 ft

Area of rectangle A = 2*6 = 12 ft²

✔️Area of the polygon = 162 + 12 = 174 ft²

You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure
an angle of 61° between A and C. The distance between A and B is about 1 mile. How wide (in miles) is the river between A and C? Round your
answer to the nearest tenth.
61
B Im
A
The width is about
miles.

Answers

Answer:

3.6

Step-by-step explanation:

tan61=x/2

2(tan61)=x

3.6=x

After standardizing a NaOH solution, you use it to titrate an HCl solution known to have a concentration of 0.205 M. You perform five titrations and obtain the following results: 0.213, 0.204, 0.208, 0.200, and 0.198 M.
a) What is the mean?
b) What is the standard deviation of mean?

Answers

Answer:

The right answer is:

(a) 0.205

(b) 0.005425

Step-by-step explanation:

The given data is:

0.213, 0.204, 0.208, 0.200, and 0.198

(a)

The mean will be:

= [tex]\frac{Sum \ of \ all \ data}{No. \ of \ data}[/tex]

= [tex]\frac{0.213+ 0.204+ 0.208+ 0.200+0.198}{5}[/tex]

= [tex]\frac{1.023}{5}[/tex]

= [tex]0.2046[/tex]

or,

= [tex]0.205[/tex]

(b)

The standard deviation will be:

[tex]\sigma^2=\Sigma\frac{(x_i-\mu)^2}{N}[/tex]

    [tex]=\frac{(0.213-0.2046)^2+...+(0.198-0.2046)^2}{5}[/tex]

    [tex]=\frac{0.0001472}{5}[/tex]

    [tex]=2.994\times 10^{-5}[/tex]

or,

    [tex]=0.005425[/tex]

The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.

During the first 24 hours, at what times does the water depth reach a maximum?

Answers

Answer:

Below

Step-by-step explanation:

f(t) = 4.1 (sin pi/6 t  - pi/3) + 19.7    <===will be a maximum when the sin portion is equal to 1

   so    sin ( pi/6 t - pi/3) = 1     given that sin is equal to one   at 0 and pi and 2 pi  and 3 pi    and 4 pi   etc

              pi/6 t - pi/3 =  0  or pi , 2 pi, 3 pi  , 4 pi

                  then t = 2 and 8 and 14   and 20 hrs  ( every 6 hrs starting with t = 2)

Juan has 40 pieces of paper and it has seven times as many pieces of paper as Juan​

Answers

I think it is 40 x 7 = 280

Answer:

280

Step-by-step explanation:

PLEASE HURRY I WILL GIVE BRAINLY PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.

c = 87
c = 8.5
c = 35
c = 10

Answers

Answer:c=35

Step-by-step explanation:

i just did this

the square root of 11.737476 has ____ decimal place ​

Answers

Answer:

3 decimal places

Step-by-step explanation:

square root of 11.737476 is 3.426

Answer:

3•426

having 3 decimal places

Nathan invested $80,000 in an account paying an interest rate of 6% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $175,600?

Answers

Answer:

Number of year = 13 year and 6 month approx.

Step-by-step explanation:

Given:

Amount invested = $80,000

Rate of interest = 6% compounded  continuously

Future value of investment = $175,600

Find:

Number of year

Computation:

Future value of investment = Amount invested[1 + Rate of interest]ⁿ

175,600 = 80,000[1+6%]ⁿ

175,600 = 80,000[1+0.06]ⁿ

175,600 = 80,000[1.06]ⁿ

Number of year = 13.492 year

Number of year = 13 year and 6 month approx.

I need help in this with explanation ​

Answers

Step-by-step explanation:

The figure is made up of an 8x8 square and 4 identical triangles with 8-ft bases and 4 ft in height. Each triangle has an area = (1/2)bh = (1/2)(8)(4) = 16 ft^2. The square part has an area of 8x8 = 64 ft^2. Therefore, the total area of the figure is

A = (area of square) + 4×(area of triangle)

= 64 ft^2 + 4(16ft^2)

= 128 sq ft

A table and 4 chairs costs N82. If the table costs N25, what is the cost of each chair? Find the total cost of 2 tables and 6 chairs​

Answers

Answer:

Step-by-step explanation:buordjkdkeek

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important

Answers

Answer:

a, d, f

Step-by-step explanation:

3 - 3= 0

6 = 2(3)

3^2 = 9

Answer and Step-by-step explanation:

To find all equations where x = 3 is a solution, solve all equations for x and see if it is equal to 3.

A. x - 3 = 0

x = 3

B. 1 + x = 2

x = 1

C. 9 - x = 3

x = 6

D. 6 = 2x

x = 3

E. [tex]\frac{1}{5} x = 3[/tex]

x = 15

F. [tex]x^2 = 9[/tex]

x = 3

A, D, and F are the answers.

#teamtrees #PAW (Plant And Water)

A line passes through the point (4,-7) and has a slope of -1/2.


Click “show your work” below and show work to write the equation of the line in point-slope form.

Answers

Answer:

Step-by-step explanation:

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

Slope "m"

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~

( 4 , - 7 )

m = [tex]-\frac{1}{2}[/tex]

y - ( - 7 ) = [tex]-\frac{1}{2}[/tex] ( x - 4 )

y + 7 = [tex]-\frac{1}{2}[/tex] ( x - 4 )

B) If one gallon of paint covers 0.5 square meters, how many gallons of black paint wil they
need to paint the house?
Show your work
1

Answers

Answer:

depends on the size of the house

let's say the house is 10 square meter then you would need 5 gallons

let's the house is 60 square meter then you would need 30 gallons

Step-by-step explanation:

whatever the square meter just divide it with 2 and that should be your answer

What is the total area of the figure?

Answers

If you cut the figure in half, it makes 2 shapes, one which is 3x5 and one which is 3x3 so the total area is 15+9 or 24m^2

The function graphed above is:
Increasing on the interval(s)
Х
Decreasing on the interval(s)
Х

Answers

Step-by-step explanation:

When the slope of the function is positive, it is increasing

when the slope of the function is negative, it is decreasing

just like with the line function  y = mx + b

so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function

also beware where the slope is zero  it is not increasing or decreasing

there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing

increasing interval  1)  x < -2     2) x > 1.5

decreasing interval   1)     -2 <  x < 1.5

at -2 and 1.5 the slope is zero

If the slope of a function is positive at all the points of the curve in a interval, function will be increasing.

f'(x) > 0

If the slope of a function is negative at all the points of the curve in a interval,

function will be decreasing.

f'(x) < 0

As we can see from the graph slope of the curve is positive in the intervals (-∞, -2) and (1.5, ∞) and decreasing in the interval (-2, 1.5).

Therefore, function is increasing in the intervals → (-∞, -2) and (1.5, ∞).

And the function is decreasing in the interval → (-2, 1.5)

Learn more,

https://brainly.com/question/16951566

A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which Is the most common
letter to start a word. If we randomly pick of 20 unique words, which of these lists of words will come closest to the theoretical probability of getting
a word beginning with T?

Answers

Answer:

To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:

Theoretical Probability = 6,670 / 40,000

Theoretical Probability = 0.16675 = 0.17

From the given choices, the list of words which can give this similar amount of probability is:

“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”

In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:

Sample probability = 4 / 20

Sample probability = 0.20

Step-by-step explanation:

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