Which calculation can be used to find the value of p in the equation p3 = 8?

Which Calculation Can Be Used To Find The Value Of P In The Equation P3 = 8?

Answers

Answer 1

Answer:

[tex]\boxed{p=\sqrt[3]{8}}[/tex]

Step-by-step explanation:

p³ = 8

Take the cube root on both sides.

[tex]\sqrt[3]{p^3 } =\sqrt[3]{8}[/tex]

[tex]p=\sqrt[3]{8}[/tex]

Answer 2

Answer:

[tex]\boxed{Option \ A}[/tex]

Step-by-step explanation:

[tex]p^3 = 8[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{p^3} = \sqrt[3]{8}[/tex]

=> p = [tex]\sqrt[3]{8}[/tex]


Related Questions

PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

Learn more about word problems at https://brainly.com/question/13818690

#SPJ2

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 22 and 15

Answers

Answer:

7 < (third side length) < 37

Step-by-step explanation:

Add these two side lengths together.  We get 37.  Unless the 3rd side is LESS than 37, we cannot form a triangle.  

Next, subtract 15 from 22, obtaining 7.  The 3rd side has to be GREATER than 7 in order for the sides 7+, 15 and 22 to form a triangle.

7 < (third side length) < 37

Answer:

26.63 ??

Step-by-step explanation:

I think you use pythagorean theorum to solve.

do 22^2 and 15^2 and get 709.1569

sqrt of that is 26.63

What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?

Answers

The measure of the angle is 17

Answer:

62.5°

Hope this helps :)

⚠️PLEASE ANSWER!⚠️

Which equation can be used to solve for b?

Answers

Answer:

b = (8)tan(30)

Step-by-step explanation:

Use mnuemonic device SOHCAHTOA

the equation that can be used to solve for b is B=(8) tan(30)

Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?

Answers

Step-by-step explanation:

the inverse of the inverse of a function is the function itself

It's like going and coming back

f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41

Answer:

9

Step-by-step explanation:

The inverse of the inverse is the input

f^-1 (f^-1(9))  = 9

As a proof

f(x) = 4x+5

y = 4x+5

Exchange x and y

x = 4y+5

Solve for y

(x+5) = 4y

(x+5)/4 = y

f^-1 (x) =  ( x-5)/4

Then find the inverse of this function

y = ( x-5) /4

Exchange x and y

x = (y-5)/4

4x = y-5

4x+5 = y

Which gives us the original function back

f^-1( input) = 4x+5

Using the value given

f^-1 (9) =  ( 9-5)/4=4/4 =1

Using the 1 from the previous part as the input

f^-1( 1) = 4*1+5  = 4+5 = 9


[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]

Answers

Answer:

mark my answer as the brainliest

Step-by-step explanation:

x = 53/4

Answer:

4×+1-9 (2^)+2)=0

4×+1-9 (4+2)=0

4×+1(-36-18)=0

4×+1 (-54)=0

4×-54=0

4×=54

×=54÷4

×=13.5

how would you solve this question?

Answers

Answer:

The value of a is and b is e.

The steps are :

First, you have to integrate the expression shown in the first picture.

Next, you have to solve it as simultaneous equation shown in the second picture.

You have to apply :

[tex] ln(b) - ln(a) = ln( \frac{b}{a} ) [/tex]

[tex] ln(y) = x \: ⇒ \: {e}^{x} = y[/tex]

plssssss help number 18 and 20​

Answers

Answer:

18).

Total mass of materials = 4.8kg

For gravel

55% of the materials are gravel

So we have

55/100 × 4.8 kg

= 2.64kg

For sand

30% of the materials are sand

We have

30/100 × 4.8

= 1.44kg

For cement

The remaining materials were cement so we add the masses of both the sand and gravel and subtract it from the total mass

That's

4.8 - (2.64 + 1.44)

4.8 - 4.08

= 0.72 kg

20).

She earns £ 800 per week

She receives a raise of 7.5% which is

100 + 7.5 = 107.5%

So we have

107.5 / 100 × £ 800

= £ 860

She now earns £ 860 per week

Hope this helps you

Step-by-step explanation:

1)of 4.8kg concrete 55% is gravel,30% is sand and 15% is cement.

percent=Rate*Base

Pgravel=55%*4.8kg

Pgravel=2.64kg

Psand=30%*4.8kg

Psand=1.44kg

Pcement=15%*4.8kg

Pcement=0.72kg

2)percent=Rate*Base

percent=7.5%*£800

percent=60£

total earn=60£ + £800

total earn=£860

pls asap its not 128......In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer:

hope it helps

this is my best

please tell me if I'm wrong

help i want help plz help me

Answers

Answer:

SA = 384 in ^2

Step-by-step explanation:

The surface area of a cube is given by

SA = 6 S ^2 where s is the side length

SA = 6 * (8) ^2

SA = 6 * 64

SA = 384 in ^2

Answer:

384 in^3

Step-by-step explanation:

To find the surface area of a cube, you have to multiply 6(the number of sides on a cube) by *(8)^2. When you plug it in, you get 384 in^3.

Select the correct answer.
Molly rewrote the equation as shown:
-50 + 11 =8-30
50 +11+30=8-30-30
Which property did she use to rewrite the equation?

Answers

[tex]\text{Molly used the addition property of equality}\\\\\text{In the equation shown in the question, you can see that Molly is trying}\\\text{to find the value of "d"}\\\\\text{In order to do this, she must get the "d" variable by itself}\\\\\text{To do this, she adds "3d" to both sides to get the "d" variable on one side}\\\\[/tex]

out of 40 coins, 16 are dimes. half of the remaining coins are quarters and the rest are pennies and nickles. these are 2 nickles for every penny. how many pennies are there?​

Answers

Answer: 4 pennies

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

Work Shown:

40 coins total

16 are dimes

40-16 = 24 coins are not dimes

Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels

n = number of nickels

p = number of pennies

This means n+p = 12 so that we have 12 pennies and nickels combined.

"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.

So,

n+p = 12

2p+p = 12

3p = 12

p = 12/3

p = 4, we have 4 pennies

n = 2p

n = 2*4

n = 8 and 8 nickels

-----------------------------------------

Here are all the coin counts

16 dimes12 quarters8 nickels4 pennies

16+12+8+4 = 40 coins total

Answer:

Option (B) is correct, 4 pennies.

Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 8, 11, 14. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 25, 49, 81. A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 10, 14. Column 2 is labeled y with entries 3, 5, 7. A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 8, 13. Column 2 is labeled y with entries 6, 11, 18.

Answers

Answer:

3,5,7

Step-by-step explanation:

Answer:

7,8.15

Step-by-step explanation:

15 POINTS!!!!!!!!!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. "Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1. "
a.) 2
b.) 3
c.) 4
d.) 5

Answers

Answer: B.

k=3

Step-by-step explanation:

g(x) is 3 units higher than f(x)

so k must be equal to 3

Answer:

it is b i think

k=3

Step-by-step explanation:

The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ____________________________ 4, 5, 6, 8, 9, 10, 11, 13 (Find the interquartile range (IQR) of the data set.)

Answers

Answer:

The answer is 5,  TRUST ME

Step-by-step explanation:

I tried the other answer but i got it WRONG.

The interquartile range (IQR) of the data represents the number of points scored by each player is 7.

What is the interquartile range (IQR)?

The interquartile range is a measure of variability which can be calculated by dividing data into quartiles.

The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]

The given data is as follows

4, 5, 6, 8, 9, 10, 11, 13

To find the first quartile

[tex]\rm Q_{1}[/tex] = (n + 1)/4 term

   = (8+1)/4

    = 9/4

To find the Third quartile

[tex]\rm Q_{3}[/tex] = 3(n + 1)/4 term

    = 3 (9)/4

    = 27/4

The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]

                                = 27/4 - 9/4

                                = 28/4

                                = 7

The interquartile range (IQR) of the data represents the number of points scored by each player on the Wildcats basketball team last game is 7.

Learn more about the interquartile range:

https://brainly.com/question/4135956

Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret).
• Tina is allergic to dogs.
• Jewel does not have the ferret.
• The dog belongs to Amy.
Who owns the ferret?

Answers

Answer:

Tina

Step-by-step explanation:

Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.

If the perimeter of a square is 32 meters, then what is
the area of the square, in square meters?​

Answers

Answer:

The awnser is 64

Step-by-step explanation:

It is 64 because you devide the perimiter (32) by 4, to get all sides, and then multiply 1 side by the other to get 64

THIS METHOD ONLY WORKS FOR A SQUARE

is 3x+4y=12 linear or nonlinear......is y=1/2x+6 linear or nonlinear......is y=4x to the power of 2 linear or nonlinear......is y+2=|4| linear or nonlinear......is y+6=4x linear or nonlinear......

Answers

3x+4y=12 is Linear.

y-1/2x+6 is Linear.

y=4x^2 is nonlinear.

y+2=|4| is linear.

y+6=4x is linear.

In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.

A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.

3x + 4y = 12 = linear

ordered pair please help

Answers

Answer:

PLS PLS DO MARK MY ANSWER AS THE BRAINLIEST......

Step-by-step explanation:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?

Answers

Answer:

a. 4 %b. 0.125%

Step-by-step explanation:

Let the missing percent be 'x'

[tex] x \: \times \: \frac{1}{6} = \frac{2}{3} [/tex]

Use the commutative property to reorder the terms

[tex] \frac{1}{6} x = \frac{2}{3} [/tex]

Multiply both sides of the equation by 6

[tex] \frac{1}{6} x \times 6 = \frac{2}{3} \times 6[/tex]

Calculate

[tex]x = 4 \:[/tex] %

b. [tex]x \: \times 1 \frac{3}{5} = 0.2[/tex]

Convert the mixed number into improper fraction

[tex]x \times \frac{8}{5} = 0.2[/tex]

Use the commutative property to reorder the terms

[tex] \frac{8}{5} x = 0.2[/tex]

Multiply both sides of the equation by [tex] \frac{5}{8} [/tex]

[tex] \frac{8}{5} x \times \frac{5}{8} = 0.2 \times \frac{5}{8} [/tex]

Calculate

[tex]x = 0.125 \: [/tex] %

Hope this helps..

Best regards!!

Answer:

1)  2/3 is 400% of 1/6

2) 0.2 is 12.5% of 1 3/5

Step-by-step explanation:

1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)

2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%

hope this helps and gives a clear answer!

The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?

Answers

Answer:

80

Step-by-step explanation:

The median is the middle line of the box plot

Answer:

def 80

Step-by-step explanation:

What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}

Answers

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?​

Answers

Answer:

HIG=28°

Step-by-step explanation:

HI is a diameter therefore it's measure is 180°

HI-IG=HG

180-128=HG

52°=HG

HIG=1/2HG

HIG=1/2(56°)

HIG=28°

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work

Answers

Answer:

I not understand

Step-by-step explanation:

what it this

Haha I think u gotta ask your teacher

Hank’s teacher asked him to verify that the product (y−3)(y2+3y+9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3+3y2+ay−3y2−ay−27. What is the value of a in the polynomial? 3 9 18 27

Answers

Answer:

a = 9

Step-by-step explanation:

In the product (y−3)(y2+3y+9), we can get the first degree term of y in two ways,

y*(9),  or -3*(3y)...............value in parentheses are from the second factor

therefore a = 9

Answer:

a = 9

Step-by-step explanation:

Let's work on the product to answer the question:

[tex](y-3)\,(y^2+3y+9)= y^3+3y^2+9y-3y^2-9y-27[/tex]

therefore the value of the requested "a" is 9

You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?

Answers

Answer:

3/10

Step-by-step explanation:

1/5 of total income - spent on car

remainder income = 4/5

3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)

the word "of" means you can find it by multiplication

e.g. 2 of 1/2 means 2 × 1/2 which is 1

For the given term, find the binomial raised to the power, whose expansion it came from: 15(5)^2 (-1/2 x) ^4
A. (5+1/2 x)^6
B. (Y- 1/2 x) ^6
C. (5- 1/2 x) ^6
D. (-5 + (- 1/2 x))^6

Answers

Answer:

C. [tex](5-\frac{1}{2})^6[/tex]

Step-by-step explanation:

Given

[tex]15(5)^2(-\frac{1}{2})^4[/tex]

Required

Determine which binomial expansion it came from

The first step is to add the powers of he expression in brackets;

[tex]Sum = 2 + 4[/tex]

[tex]Sum = 6[/tex]

Each term of a binomial expansion are always of the form:

[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]

Where n = the sum above

[tex]n = 6[/tex]

Compare [tex]15(5)^2(-\frac{1}{2})^4[/tex] to the above general form of binomial expansion

[tex](a+b)^n = ......+15(5)^2(-\frac{1}{2})^4+.......[/tex]

Substitute 6 for n

[tex](a+b)^6 = ......+15(5)^2(-\frac{1}{2})^4+.......[/tex]

[Next is to solve for a and b]

From the above expression, the power of (5) is 2

Express 2 as 6 - 4

[tex](a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......[/tex]

By direct comparison of

[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]

and

[tex](a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......[/tex]

We have;

[tex]^nC_ra^{n-r}b^r= 15(5)^{6-4}(-\frac{1}{2})^4[/tex]

Further comparison gives

[tex]^nC_r = 15[/tex]

[tex]a^{n-r} =(5)^{6-4}[/tex]

[tex]b^r= (-\frac{1}{2})^4[/tex]

[Solving for a]

By direct comparison of [tex]a^{n-r} =(5)^{6-4}[/tex]

[tex]a = 5[/tex]

[tex]n = 6[/tex]

[tex]r = 4[/tex]

[Solving for b]

By direct comparison of [tex]b^r= (-\frac{1}{2})^4[/tex]

[tex]r = 4[/tex]

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

Substitute values for a, b, n and r in

[tex](a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......[/tex]

[tex](5+\frac{-1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

Solve for [tex]^6C_4[/tex]

[tex](5-\frac{1}{2})^6 = ......+ \frac{6!}{(6-4)!4!)}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+ \frac{6!}{2!!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+ \frac{6*5*4!}{2*1*!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+ \frac{6*5}{2*1}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+ \frac{30}{2}*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+15*(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+15(5)^{6-4}(\frac{-1}{2})^4+.......[/tex]

[tex](5-\frac{1}{2})^6 = ......+15(5)^2(\frac{-1}{2})^4+.......[/tex]

Check the list of options for the expression on the left hand side

The correct answer is [tex](5-\frac{1}{2})^6[/tex]

Which of the following theorems verifies that DEF= XYZ?

Answers

Answer:

The correct answer is D: LL ( Leg-Leg Congruence)

Step-by-step explanation:

Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.

So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.

Answer:

The answer is LL

Step-by-step explanation:

thats what i got

Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 mi long and is traveling 50 mph. How many seconds after the front cars of the trains meet will their rear cars pass each other?

Answers

Answer:

6 seconds

Step-by-step explanation:

Total distance between the 2 rear cars = [tex]\\\frac{1}{12} + \frac{1}{12} = \frac{1}{6}\\\\\\\\\\Relative speed of the trains = 50 + 50 = 100 mphT = \frac{Distance}{Speed} = \frac{1}{6} * \frac{1}{100} = \frac{1}{600} hours\\T = \frac{1}{600} hours or \frac{3600}{600} = 6 seconds[/tex]

Solve on the interval [0,2pi)
4 CSC x + 1 = -3

Answers

Answer:

[tex]$\frac{3\pi }{2}$[/tex]

Step-by-step explanation:

Solve for the interval: [tex][0, 2\pi)[/tex]

[tex]4 \csc(\theta)+1=-3[/tex]

[tex]4 \csc(\theta)=-4[/tex]

[tex]\csc(\theta)=-1[/tex]

[tex]$\frac{1}{\sin(\theta)} =-1 \Rightarrow \sin(\theta)=-1$[/tex]

We have [tex]\sin(\theta)=-1[/tex] for coterminal angles [tex]$\frac{3\pi }{2}+2\pi n$[/tex]

Once we just want the interval [tex][0, 2\pi)[/tex]

The solution is [tex]$\frac{3\pi }{2}$[/tex]

Other Questions
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