Mathematics Middle School

Find the product. (3p 4)3 · (p 2)7

Answers

Answer 1

The product of the expressions (3p⁴)³ * (p²)⁷ is 27p²⁶

How to evaluate the product of the expressions

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

(3p⁴)³ * (p²)⁷

Expanding the brackets, we have

(27p¹²) * (p¹⁴)

Remove the brackets

So, we have

27p¹² * p¹⁴

Evaluate using the law of indices

27p²⁶

Hence, the product of the expressions is 27p²⁶

Question

Find the product

(3p⁴)³ * (p²)⁷

Related Questions

Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi

B.) 33 mi; 39 mi

C.) 66 mi; 78 mi

D.) 49.5 mi; 58.5 mi

Answers

1) New Wilmington-> Mercer: 1.25in
Mercer -> Sharon: 1.5in
-> in total 2.75in
scale 1 in:12 mi

->in total scaled: 2.75*12 mi=24+9mi=33mi

2) New Wilmington-> Volant: 1.25in
Volant -> Sharon: 2in
-> in total 3.25in
scale 1in:12mi

->in total scaled: 3.25*12 mi=36+3mi=39mi

so the answer is B) 33 mi; 39 mi

the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz

the correct answer is 76.5 mi; 67.5 mi

Find the value of x (5x) (3x+12

Answers

The value that shows the expansion of the given algebraic expression is 6.

What is the solution to the algebraic expression.

An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators

In the complete question attached below, we are to find the value of x.

We can see that the angles are alternate angles.

So, 5x = (3x + 12).Combine like terms, we have:

5x - 3x = 12

2x = 12

x = 12/2

x = 6

Therefore, the value of x is = 6.

Which function describes this graph?

f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2

Answers

f(x) = 1/4x + 2

This means that the y-intercept is 2 and the slope is 1/4.

Hope this helps!

The function that best describes this graph would be f(x)=1/4x+2. The y-int is 2 and it rises once and runs 4 times to the right.

Equation: y= -0.25x+1
After how many minutes is the timer 25% full?

Answers

Answer: 3 minutes

To solve this, I plugged 0.25 into the y value since it represents the amount of sand remaining. I then solved for the x value which gave me a value of 3. (I hope this helps)

Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.

Answers

It is $150 because you want 125% of 120. You can put 125% as a fraction so the equation now is 125/100*120. So simplifying, you get 12.5*12. So the actual answer is $150.

Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

Answers

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.

Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.

Answer: (x+5) is a factor.

Use the order of operations to find the value of the expression 5*2+6-5

Answers

You have to use PEMDAS. The first irder of operations to use in this situation is multiply. So 5 x 2 = 10. Now we have to add 10 + 6 = 16. Lastly, you have to subtract 16 - 5 = 11. So your answer would be 11.

Hope this helps! : - D

Salutations!

BODMAS also called Order of Operations means:

B- Brackets

O - Order

D- Division

M- Multiplication

A- Addition

S- Subtraction.

[tex]5*2+6-5[/tex]

[tex]5*2 =10[/tex]

[tex]10+6=16[/tex]

[tex]16-5=11[/tex]

Hope I helped (:

have a great day!

What is 45,824 rounded to the nearest thousand

Answers

46,000 is the answer

You have your 1s 10s 100s 1,000s 10,000s. 45,824 you want to round to the nearest thousands so you look at 5,824. if its 5 or more go up if its 4 or round down. 800 is more than 500 so you round up to 6,000. The answer is 46,000.

You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month

$1.21

$12.10

$121.00

$145.20

Answers

(550*4.4)/100=24.2
24.2/12=2.016 $ in month
2.016*6=12.10 $

12.10 would be the interest for only 6 months.

4(x+8)-4=34-2x steps

Answers

Step 1: Simplify both sides of the equation.4(x+8)−4=34−2x(4)(x)+(4)(8)+−4=34+−2x(Distribute)4x+32+−4=34+−2x(4x)+(32+−4)=−2x+34(Combine Like Terms)4x+28=−2x+344x+28=−2x+34Step 2: Add 2x to both sides.4x+28+2x=−2x+34+2x6x+28=34Step 3: Subtract 28 from both sides.6x+28−28=34−286x=6Step 4: Divide both sides by 6.6x6=66x=1

Giving who ever answers correctly over 30 points.

1: Solve for x.

x - 3/8 = - 5/8

a: x=1/4
b: x= -1/4
c: x= -1

2: Solve for x.

2x = 15 + x

a: x= -15
b: x= 15
c: x= 15/2

3: Solve for x.

x + 5 = 2x

a: x=3
b: x= -5
c: x= 5

Answers

The first one would be b,

second is b

third is c.

Hope this helps!

Number 1 is b
Number 2 is b
Number 3 is c

For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2

Answers

The value of y that satisfies the equation is -1/2.

The correct option is D.

To solve the equation, using the property of exponents:

125 = (1/25[tex])^{y-1[/tex]

Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):

So, 5³ = (1/5²[tex])^{y-1[/tex]

5³ = (5⁻²[tex])^{y-1[/tex]

5³ =[tex]5^{-2y+2[/tex]

Since the bases are the same, comparing the exponents as:

3 = -2y+ 2

3-2 = -2y

-2y = 1

y= -1/2.

Therefore, the value of y that satisfies the equation is -1/2.

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Simplify this algebrtic expression
Z-4/4+8

Answers

it equals to z/16

brainliest answer plz:)

1/12z + -1/3 is the answer.

write the answer as a decimal fraction 14/100=? /10+? /100=?

Answers

14.100 or you can do something like that try it in see if it’s right

Final answer:

To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.

Explanation:

To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.

To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.

For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).

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A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?

Answers

Answer: The answer is 35/16 miles

Step-by-step explanation: I have my ways ;>

Kay estimates that Wednesday ride is about 3 miles longer than Tuesday ride . Is her estimate reasonable ?

Answers

Answer:

yes

Step-by-step explanation:

What is the smallest power of 10 that would exceed 987,654,321,098,765,432?

Answers

it is 10^18:1000000000000000000

How do you write 1/10 in percent

Answers

1/10 = 10/100

10/100 = 0.10

0.10 = 10%

10% is your answer

hope this helps

10% cause it's just like counting by 10's

A recipe requires 1/4 lb of onions to make 3 servingsof soup. Mark has 1 1/2 lb of onions. How many servings can mark make?

Answers

16 servings of soup. 1/4 times 4 equals 1 pound and 1/4 times 2 equals 1/2 a pound so it equals 1 1/2.

Hello,

We know that if you have 1/4 Ib of onions, that will make 3 servings. If we make a unit rate table, you'll end up with 18 servings when you have 1 1/2 Ibs of onions.

He would be able to make 18 servings. Hope this helps.

May.

Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.

Answers

the outlier is 18. This outlier will lower the average mean. The answer is B

The outlier is 18.
and it lowers the mean by about 2

What is 23/35 simplified?

Answers

There is no least common enominator for this answer due to the fact that these numbers don't share a common factor (23 is odd number with only two factors: 1, 23; while 35 is odd number with 4 factors: 1, 5, 7, 35) other than 1.

*But if you do 1/1, it will be 1; so this won't work properly.

So the answer is 23/35.

ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.

Answers

3/10 is 30%
Save more jeans are 33% off

204 meters 89 cm = how many cm??

Answers

20,489 because 1 meter is 100 centimeters.

204 meters 89 centimeters is equal to 20,489 centimeters.

To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.

204 meters is equal to 204 × 100 = 20,400 centimeters.

Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.

Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.

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you can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. what is the height of the tree?

please explain it too ^_^

Answers

So if triangle ABC is similiar to triangle DEC then we know that when two figures are similar, the ratios of the lengths of their corresponding sides are equal.So we can write:

AC/DC = BC/EC =AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k
15/6=k

Now that we know the k we can find the height of the tree that's equal to AB:

AB/DE= k
AB/4=15/6
6AB= 15 x 4
AB= 60/6 = 10

The height of the tree is 10ft

The height of the tree is 10 feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the ratios of the lengths of the corresponding sides are equal when two figures are similar, if triangle ABC and triangle DEC are similar, then we may write,

AC/DC = BC/EC = AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k

15/6=k

Now from this value of 'K' we can determine the height of the tree which is,

AB/DE = k

AB/4 = 15/6

6AB = 15 x 4

AB = 60/6 = 10

The height of the tree is 10ft.

learn more about triangles here :

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A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies

Answers

(I dont know if this is the way your teacher told you how solve the problem but I'm gonna try it anyway)

First of all, Let x = the mystery amount of flour

To create my equation, I put cups of flour over the amount batches in a formation, kind of like a fraction.

cups
-----------
batches

Next, I fill in the values.

cups 4
----------- = ---------
batches 5

The 4/5 represents the first ratio of flour/batches.

cups   4 x
----------- = ---------   = ---------
batches 5 1

Since we do not know that amount of flour it took to make one batch, we put x in it's place.

Now it's time to cross multiply. It's exactly like it sounds! Multiply diagonally.

Multiply 5 and 'x'. Multiply 4 and 1.

You end up with a eqaution that looks like:

5x = 4

As you would for any solve-by-x equation, divide the five on both sides.

5x= 4
- -
5   5

4/5 = Four-Fifths

5/5 cancels itself out and poofs into thin air.

You end with x = 4/5

This is the answer.

The baker used 4/5 cups of flour to make 1 batch of brownies :)

Write 63 as a sum of tens and ones

Answers

you have 60 in your tens place. you have 3 in your ones place. then add both together

do any of the points below fall on the linear equation shown. Please show work

Answers

You are given three points. Each point consists of an abscissa (x-value) and an ordinate (y-value). One by one, take the abscissas and insert them into the given formula to produce a y value. Then, compare this calculated y-value to the ordinate given.

Example: Determine whether (2,0) lies on the graph of the given line.

Subst. 2 for x: y = (9/5)(2-273) + 32 = -455.8. This is not equal to the given ordinate (0), so NO, (2,0) does NOT lie on the graph of the given function.

4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5

Answers

Given that Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5 ≤ t ≤ 15.

Part A:

Given that Grace's time is rounded to the nearest quarter of an hour. The domain for Grace is given by {10, 10.25, 10.50, 10.75, - - -, 19.75, 20}.

The range for grace is given by {9(10), 9(10.25), 9(10.50), 9(10.75), - - -, 9(19.75), 9(20)} = {90, 92.25, 94.5, 96.75, - - -, 177.75, 180}

The domain for Frances is given by: 5 ≤ t ≤ 15.

The range for Frances is given by: 10(5) ≤ f(t) ≤ 10(15) = 50 ≤ f(t) ≤ 150.

Part B:

Grace earns $9 per hour and $80 to $180 per week while Frances earns $10 per hour and $50 to $150 per week.

Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3

x − intercept is ( , )
y − intercept is ( , )

Answers

I only know the y intercept which is 0,3

Answer:

x - intercept is (2,0)

y - intercept is (0,3)

Step-by-step explanation:

y = 0 for x - intercept

0 = - 1.5x + 3

- 3 = - 1.5x

x = 2

x = 0 for y - intercept

y = 0 + 3

y = 3

is 5 factor of the number 38 yes or no

Answers

no it is not. 5 can go into 35 and 40, but not 38

The factors of the number 38 are 1, 2, 19 and 38. For any positive number, the number 1 and the number itself are factors, so 1 and 38 are inherent factors. Additional numbers that divide 38 evenly are 2 and 19.

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