What is the solution of the equation 8x^3 = -64?

Answers

Answer 1

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]8x^3=-64[/tex]

Divide both sides by 8:

[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]

[tex]x^3=-8[/tex]

Cube root both sides:

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

[tex]x=-2[/tex]


Related Questions

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

Answers

Answer: $680

Step-by-step explanation:

Help me please not good at math

Answers

Answer: I think option A

Step-by-step explanation:

1/5(x)( 5/1)=6/3(5/1) What is the value of the x?

Answers

Answer:

The value of x would be 10. I hope this helped :)

Answer:

10

Step-by-step explanation:

on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.

4. How did railroads change where people lived?
The railroads changed people life

Answers

Answer:

It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.

Step-by-step explanation:

Answer:

There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.

Step-by-step explanation:

What temperature is 24° warmer than-12 °C?

Answers

Answer:

12 °C

Step-by-step explanation:

x = -12 + 24x = 12 °C

12 °C is 24°C warmer than -12°C

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help

Answers

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

what is the opposite of the opposite of 8

Answers

Answer:

8

Step-by-step explanation:

The opposite of the opposite of 8 is just 8

Answer:

-8

Step-by-step explanation:

the opposite of 8 is -8 because of positive and negative numbers

100 POINTS!! ASAP - Plss SHOW WORK

Answers

Answer:

h ≈ 174.3 m

Step-by-step explanation:

Step 1: Define variables

∅ = 71°

b = 60 meters (horizontal leg of the triangle)

We are solving for height h (vertical leg of the triangle)

Step 2: Use Trig

tan∅ = opposite over adjacent

tan71° = h/60

Step 3: Evaluate

60tan71° = h

h = 174.253 m

h ≈ 174.3 m

Answer:

the height of the building is 174.3 m

Step-by-step explanation:

see attached image

height of building (h) = x tan Ф

where x = 60m

Ф = 71°

plugin values into the formula

h = 60 tan (71)

h = 174.3 m

therefore

the height of the building is 174.3 m

What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347

Answers

Answer:

100

Step-by-step explanation:

=(8)(6.5)+(12)(4)

=52+(12)(4)

=52+48

=100

100 is the answer for the expression

marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.

Answers

Answer:

5*75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar

Is(0,-2) a solution of x+y=6

Answers

Answer:

no

Step-by-step explanation:

x+y=6

Substitute the point into the equation and see if it is true

0 + -2 = 6

-2 =6

This is not true so the point is not a solution

Answer: No

Step-by-step explanation:

To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.

0+(-2)=6            [add]

-2≠6

Since -2 does not equal 6, we know that (0,-2) is not a solution.

9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10​

Answers

Answer:

32.78103

Step-by-step explanation:

as far as I know it would be 3.278103 times whatever

Answer:

the answer is 32.78103

Step-by-step explanation:

Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.

Help ASAP
Find the Distance between (5,2) and (-3,-4)

Answers

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(-3-5)^2+(-4-2)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]d=\sqrt{64+36}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d = 10[/tex]

5x+2=3x+6 what does x equal?

Answers

Answer:

x=2

Step-by-step explanation:

twice the difference if a number A and 7

Answers

Answer:

-Twice means muliply by 2

 

-The difference of a number and 7 means subtract a number/variable and 7.

 

-Is equal to 9 means =9

 

2(X - 7) = 9

Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74​

Answers

Answer:

Step-by-step explanation:

The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.

Mean is the average of the data. It is the sum total of the numbers divided by the total number.

Mean = 64+72+73+60+65+86+72+69+74/9

Mean = 635/9

Mean = 70.6inches

Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude​.

On re-aaranging

60, 64, 65, 69), 72, (72, 73, 74, 86

It can be seen that the number at the middle is 72, hence the median data is 72inches

Maximum value is the highest number in the data given. The highest number is 86 according to the data.

Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.

Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts

IQR = Q3-Q1

Q3 is the upper quartile

Q1 is the lower quartile

Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74​

Q1 = 72+69/2

Q1 = 70.5

Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60

Q3 = 72+73/2

Q3 = 72.5

IQR = 72.5-70.5

IQR = 2.0

Hence the five numbers are 70.6, 72, 86, 60 and 2.0

Find the Slope using the Slope Formula ​

Answers

Answer: -1

2-1=1
1/-3+2
1/-1
=-1

Answer:

Slope = -1

Step-by-step explanation:

Given coordinates,

→ x1 = -2

→ y1 = 1

→ x2 = -3

→ y2 = 2

Now we have to,

→ Find the slope using slope formula.

Formula we use,

→ Slope (m) = (y2 - y1)/(x2 - x1)

Let's find the required slope,

→ m = (y2 - y1)/(x2 - x1)

→ m = (2 - 1)/(-3 - (-2))

→ m = (2 - 1)/(-3 + 2)

→ m = 1/(-1)

→ [ m = -1 ]

Hence, the value of slope is -1.

A customer at a Mexican diner placed an order for 3 burrito bowls. He also ordered 2 plates of corn tacos at $12.96 each. He was billed
a total of $45.42.

Answers

Answer:

$6.05 for each burrito bowl

Step-by-step explanation:

12.96+12.96=25.92

45.42-25.92= 19.5

19.5/3= 6.5

Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?

Answers

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

what is the formular for 1+4+16+64+256

Answers

Answer:

341

Step-by-step explanation:

1+4=5

5+16=21

21+64=85

85+256=341

At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog

Answers

Answer:

20 people did not order hotdogs

Step-by-step explanation:

if there is 90 people and 7 must represent 70 / 90

You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a

Answers

Step-by-step explanation:

A. Dad = 50, Mum  = 47, Sister = 22

me = 19

Total Sum = 50 + 47 + 22 + 19

= 136

√136 = 11.662.

B. + 1435 797 202 = 40

√40 = 6.33

C. BRYAN = 2 + 18 + 25 + 14 = 59

√59 = 7.68.


How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)

Answers

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)

HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a

Answers

All real numbers are correct! Hope that helps.

Answer:

a can be anything. There are infinite solutions.

Step-by-step explanation:

[tex]4(a+2)=8+4a[/tex]

Expand:

[tex]4a+4\times\:2=8+4a[/tex]

[tex]4a+8=8+4a[/tex]

Subtract 8 from both sides:

[tex]4a+8-8=8+4a-8[/tex]

[tex]4a=4a[/tex]

Subtract 4a from both sides:

[tex]4a-4a=4a-4a[/tex]

[tex]0=0[/tex]

Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.

your cell phone plans costs$34.99 per month plus $0.11 for each text message you send or receive you have at most $40 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month ?

Answers

The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.

What is maximum in mathematics?

In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum

Considering the information provided;

Given that the monthly expense is $34.99

and $0.11 for each text as well (sent or received)

Suppose y is the whole cost.

Set x as the quantity of text.

The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation

4034.99=5.01

in the model for the overall cost,

y=34.99+0.11x.

Count the number of messages you can send, you must divide.

5.01÷0.11

=45.54

The maximum number of messages is 45

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PLZ FAST I DONT WANNA DIE

Answers

Answer:

x=15

Step-by-step explanation:

<GCB=180-5x

<EBA=9x

<DAC=8x

The sum of the three exterior angles equals 360.

(180-5x)+9x+8x=360

180-5x+9x+8x=360

-5x+9x+8x=360-180

12x=180

x=15

Point C divides AB into two segments with lengths that form which ratio?
А с B
HH
15 20 25 3035
AHH

Answers

Answer:2:3

Step-by-step explanation:

If 40% of a number is 32, find 10% of that number.

Answers

Answer: 8

10% of that number would be 8.

Explanation:
Since the problem is basically a= p% of b I took 32 and divided it by .40 (which is also equal to 40%) and received the answer of 80.
Then since the question asked what 10% of that number (which is 80) I took .10 and multiplied it to 80 and received 8 as the answer.

Answer:

8

Step-by-step explanation:

use picture or words to explain how you could find the sum of 7+7

Answers

Step-by-step explanation:

The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.

Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.

Answers

Answer:

1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)

Step-by-step explanation:

just finished this lesson lol

Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

What is an Expression?

An expression is a mathematical statement consisting of variables, constants, and mathematical operators.

The expression is

[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]

Applying Distributive Property

[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]

Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

To know more about Expression

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