the prime factorization of 171 using exponents.

Answers

Answer 1

Answer:

the prime factorization of 171 can be written as 32 × 191 where 3, 19 are prime.

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Related Questions

solve missing side of triangle one side is 4cm and other 8cm ​

Answers

Answer:

Using the "Pythagorean Theorem" formula:

a^2 + b^2 = c^2 we can find the hypotenuse of this triangle.

Replace the values of a, b, and c with it's actual values;

8^2 + 4^2 = __^2 ← our missing value

64 + 16 = 80, now we need to find the square root of 80:

√80 = 8.944, which equals to around 8.9.

so to rewrite:

8^2 + 4^2 = 8.9^2, so 8.9 is your answer.

Guys I really need help with this it's an emergency!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

2+2=?

Answers

Answer:

4!!!

Step-by-step explanation:

or 22

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At the bake sale Sue sold 7 cakes for so each and 36 large cookies for $2 each. Which expression below will give the total amount, in dollars, that Sue received from these sales?​

Answers

Answer : 36 x 2 = and 7x =


well I don’t know for the cakes but the expression would be 36 x 2 = and 7x since I don’t know the value for the cakes per.

There are 2 squares, 2 triangles, 2 hexagons, and 2 circles in a teacher’s bag of shapes. If a student randomly selects 1 shape from the bag, what is the probability that the student selects a circle?

Answers

Answer:

8

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

i had the question on a test

A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:

She plans to drive 125 miles.

She has at most $150 to spend.

pls help

Answers

Step-by-step explanation:

Identify the cost of 125 miles;

[tex]125 \times 0.12 = 15[/tex]

$15 for 125 miles.

Subtract 150 and 15;

[tex]150 - 15 = 135[/tex]

(Money remaining)

Divide 135 by 25 to identify how many days she can rent the car;

[tex]135 \div 25 = 5 \frac{2}{5} [/tex]

5 2/5 decreases to 5 as you can't rent a car for 5 2/5 days.

Answer: She can drive 125 miles and rent the car for 5 days.

A phone company advertises a new plan in which the customer pays a fixed amount
of $25 per month for unlimited calls in the country and $0.10 per minute for
international calls. If a customer paid 50 dollars, how many international minutes did
they use?

Answers

Answer:

it will take 30 minutes

Step-by-step explanation:

obtain a formula

=> M = $0.10($p)+$25

insert the value of p dollars

=> M = $0.10(50) + 25

multiply 50 by 0.10

=> M = $5 + 25

add 25 + 5

=> M = $30

So it takes 30 minutes for international minutes Thank You

^_^

12.5=-1.5+b/0.1 solve for b

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:b=11/10
Decimal Form:b=1.1
b=1 1/10

Solving the linear equation 12.5 = -1.5 + b/0.1, value of b is 1.4

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution of this equation or we can solve this equation by adding or subtracting same number to both sides.

To solve  equation : 12.5 = -1.5 + b/0.1

Adding 1.5 to both sides

12.5 +1.5 = -1.5 +1.5 + b/0.1

14 = b/0.1

Multiply both sides by 0.1

0.1 *14 = 0.1(b/0.1)

1.4 = b

Therefore, the value of b on solving linear equation 12.5 = -1.5 + b/0.1 is 1.4

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No results found for Evaluate when x = -3 and y= -1:

x-xy

A. -4

B. -3

C. 0

D. -6

Answers

Answer:

D

Step-by-step explanation:

-3 - (-3)(-1)

-3 - (3)

-6

HELP ASAP! Find solutions (MULTIPLE) for the equation:
6^x+2=8
E is a correct answer, I need help finding the others
(100 points!!)

Answers

Answer:

[tex]x = \frac{3in(2)}{in(6)} - 2[/tex]

Solving steps:

[tex]-›6 {}^{x + 2} = 8[/tex]

Apply exponents rule

[tex]-›(x +2)in(6) = in(8)[/tex]

Solve for (x + 2) in(6) = in(8)

[tex]-›x = \frac{3in(2)}{in(6)} - 2[/tex]

[tex]\\ \rm\rightarrowtail 6^{x+2}=8[/tex]

[tex]\\ \rm\rightarrowtail (6)^{x+2}=2^3[/tex]

[tex]\\ \rm\rightarrowtail ln6^{x+2}=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln2+2ln3=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=3ln2-2ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail xln3+xln2+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail (x+2)=\dfrac{ln8}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{ln8}{ln6}-2[/tex]

Another

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln8[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail x+2=\dfrac{3ln2}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3ln2}{ln6}-2[/tex]

Find the length of AC. Round your answer to two decimal places.

Answers

Answer:6.43in

Step-by-step explanation:

Without putting the first card back, you pick a second card at random. 4, 5, 6, 7 What is the probability of picking an odd number and then picking an even number? Write your answer as a fraction or whole number

send help ​

Answers

Answer: 1/3

Step-by-step explanation:

the card is not being replaced, so it is a dependent event.

Event A: picking an odd number

There are 4 cards total, and 2 odd numbered cards.

P(A) = 2/4 = 1/2

Event B: picking an even number.

There are now three cards total, because the card from Event A was not replaced. There are two even numbered cards.

P(B) = 2/3

P(A+B) = P(A) x P(B)

P(A+B) = 1/2 x 2/3 = 2/6 = 1/3

How can you apply the rice method when left arm fracture​

Answers

Rest: Rest and protect the injured or sore area. Stop, change, or take a break from any activity that may be causing your pain or soreness.

Ice: Cold will reduce pain and swelling. Apply an ice or cold pack right away to prevent or minimize swelling. Apply the ice or cold pack for 10 to 20 minutes, 3 or more times a day. After 48 to 72 hours, if swelling is gone, apply heat to the area that hurts. Do not apply ice or heat directly to the skin. Place a towel over the cold or heat pack before applying it to the skin.


Compression: Compression, or wrapping the injured or sore area with an elastic bandage (such as an Ace wrap), will help decrease swelling. Don't wrap it too tightly, because this can cause more swelling below the affected area. Loosen the bandage if it gets too tight. Signs that the bandage is too tight include numbness, tingling, increased pain, coolness, or swelling in the area below the bandage. Talk to your doctor if you think you need to use a wrap for longer than 48 to 72 hours; a more serious problem may be present.

Elevation: Elevate the injured or sore area on pillows while applying ice and anytime you are sitting or lying down. Try to keep the area at or above the level of your heart to help minimize swelling.

Factor 4x2 + 15x - 54 -​

Answers

Answer:

I believe the answer is (4x−9)(x+6)

Answer:

[tex]27x^{4}-x[/tex]

[tex]x^{3} +216[/tex]

[tex]x^{2} +6x+9[/tex]

Step-by-step explanation:

A fruit-drinking company tester a new flavor. In a taste test, 34% of the people taking part liked the new flavor. If 51 people liked the new flavor, how many people took the test? A. 34 B. 17 C. 150 D. 77

Answers

Answer:

C. 150

Step-by-step explanation:

The number of people who took the test is unknown, so call it x.

34% of x liked the flavor.

51 people liked the flavor.

That means that 34% of x is equal to 51.

34% of x = 51

0.34x = 51

x = 51/0.34

x = 150

Answer: C. 150

Subtracting a number is the same as adding its opposite.

Use this understanding to complete each of the equations below.

‐9−(‐12)= ‐9 + ___
=___

‐9−12= ‐9 +____
=___

Answers

Answer:

1st blank = 12

2nd blank = 3

3rd blank = (-12)

4th blank = (-21)

Step-by-step explanation:

for the first problem, just remeber that "minus a negitive, equals plus a positive" then -9 + 12, equals a positive 3.

and for the 2nd problem, when there is no negitive on the 2nd term, just remeber that if you change the sign in the middle, change the sign that follows. so that -9 - 12 then turns into -9 + (-12).

hope this helped!

Question 6 of 10
What is the length of the altitude of the equilateral triangle below?
30"
6
6
a
60° 90°
3
60"
3
O
A. 613
O
B. 1
C. 6
Ο Ο O
D. 3
E. 3/5
O
F. 27

Answers

Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

Find the mssing length.

A. 64
B. 100
C. 12
D. 48​

Answers

Answer:

48

Step-by-step explanation:

I do not have one sorry!

The value of the missing length in the triangle is b. 100

How to calculate the value of the missing length

from the question, we have the following parameters that can be used in our computation:

The triangle

The height is calculated using the Pythagoras theorem as

h²= 60² - 36²

So, we have

h²= 2304

Evaluate

h = 48

Next, we have

(x -36) * 36 = 48 * 48

When evaluated, we have

x -36 = 64

So, we have

x = 64 + 36

Evaluate

x = 100

Hence, the value of x is 100

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( I need help please….)

Answers

Step-by-step explanation:

the independent variable is "Time", as this simply processes independently of any number of people present.

the dependent variable is "Number of People" as this changes depending on the time of the day.

The expression c(16x + 14) is equivalent to 32x +d. What are the values of c and d?

Answers

We are told that c(16x + 14) = 32x + d

Now, if  16x + 4 is multiplied by 2 we will have:

2(16x+14)=32x+28

then 32x + 28 = 32x + d

∴ d = 32x+28-32xd= 0+28d= 28

Since C(16x+14) = 32x+d

and 2 (16x+14) = 32x + d

then c = 2, d = 28

Solve the following absolute value equation. ​

Answers

Answer:

x= 8

x= -8

Step-by-step explanation:

|x+1| /3 = 3

|x+1| = 9

|x| + |1| = 9

|x| = 8

x= 8

x= -8

Solve 5x = 81.2.
Round to the nearest ten-thousandth.

Answers

Answer:

The value of x is 2.7320

Step-by-step explanation:

.

Answer:

5x = 81.2, in order to find out the value of x, we need to isolate the variable by performing inverse operations on both sides of the equation.

5x = 81.2, when we look at 5x we can see that x and 5 are being multiplied.

The inverse operation of multiplication is division so we divide by 5 from both sides:

5x  =  81.2.

÷5       ÷5

x = 16.24, and now since they want us to round to the nearest ten-thousandths, it is not needed because it does not reach the thousandths place so your answer is 16.24.

We can also double check this by replacing x with the value we found:

5x = 81.2

5(16.24) = 81.2

81.2 = 81.2, so it is correct because both match.

Justin has į gallon of skim milk. He wants to distribute the amount of milk
he drinks evenly over the next 5 days. If milk costs $3 a gallon, what is the
value of the milk that Justin drinks in 1 day?

Answers

Answer:

.60 per day

Step-by-step explanation:

3 dollars / 5 days = 60 cents per day  

5x.6=3

What is the value of c?

Answers

Answer: 51 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

78 + 51 = 129

180 - 129 = 51

help me guys :) I need good answer:)​

Answers

Step-by-step explanation:

hopefully I think hope you will understand

I WILL GIVE BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

-1/3 is number one

Step-by-step explanation:

rearrange it so that instead of 19 - 9x = 22 it is -9x + 19 = 22 then subtract 19 from both sides of the equation then simplify.

Answer:

A

Step-by-step explanation:

solving the original equation

19 - 9x = 22 ( subtract 19 from both sides )

- 9x = 3 ( divide both sides by - 9 )

x = [tex]\frac{3}{-9}[/tex] = - [tex]\frac{1}{3}[/tex]

solving Maryanne's equation

- [tex]\frac{12}{5}[/tex] x + [tex]\frac{26}{5}[/tex] = 6 ( multiply through by 5 to clear the fractions )

- 12x + 26 = 30 ( subtract 26 from both sides )

- 12x = 4 ( divide both sides by - 12 )

x = [tex]\frac{4}{-12}[/tex] = - [tex]\frac{1}{3}[/tex]

solving Herb's equation

11 = 18x + 5 ( subtract 5 from both sides )

6 = 18x ( divide both sides by 18 )

[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex] = x

Only Maryanne's equation has the same solution as the original equation

Write each expression as a difference.
A) 7+3
B) a+5
C) a+b

Answers

Answer:

Two negative symbols combine to make a positive sign.

A) 7 - (-3)

B) a - (-5)

C) a - (-b)

A) 7 + 3 = 10 - (the difference is 10, subtract 0).

B) a + 5 = a - (-5) (difference is 'a', subtract -5).

C) a + b = a - (-b) (difference is 'a', subtract -b).

How to write each expression as a difference

To compose each expression as a difference, we ought to discover a proportionate expression within the shape of "x - y". Let's do that for each expression:

A) 7 + 3:

To speak to this as a contrast, able to rework it as follows:

7 + 3 = 10 -

B) a + 5:

To speak to this as a contrast, able to revamp it as takes after:

a + 5 = a - (-5)

C) a + b:

To speak to this as a contrast, able to rework it as takes after:

a + b = a - (-b)

In each case, we changed the given expansion expression into a contrast by including or subtracting a term with the inverse sign (e.g., including -5 to speak to +5 as a contrast).

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how many combinations can be made with 3 coins?

Answers

Answer:

heads, heads, heads

tails, heads, tails

tails, tails, tails

heads, tails, heads

heads, heads, tails

tails, heads, heads

tails, tails, heads

heads, tails, tails

▬▬In Conclusion▬▬

8 combinations are possible.

What is f(4) for the function f(x)=7x+1​?

Answers

Answer:

29

Step-by-step explanation:

substitute 4 for x into the function so 7x+1 would be (7*4)+1

7*4=28

28+1=29

An algebra tile configuration. Outside of the configuration are the following tiles: x squared, x, negative x, , and negative. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 x squared, 4 x. Below the x squared tile are 4 x tiles. What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 8x.

Answers

16

Step-by-step explanation:

The constant term would be 16.

Sur un tricycle, la petite roue a une circonférence de 56,55 cm et le rayon de la grande roue mesure 13 cm de plus que celui de la petite roue.
Combien de tours complets la petite roue effectue-t-elle pendant que la grande roue fait 10 tours ?

Answers

Answer:

Around 43 turns.

Step-by-step explanation:

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