Select the correct answer.What is the solution to this equation? x+6)1/3-5=-2

Select The Correct Answer.What Is The Solution To This Equation? X+6)1/3-5=-2

Answers

Answer 1
\((x+6)^{\frac{1}{3}}-5=-2\)

Express the equation as:

\(\begin{gathered} \sqrt[3]{x+6}-5=-2 \\ \end{gathered}\)

Add 5 to both sides:

\(\begin{gathered} \sqrt[3]{x+6}-5+5=-2+5 \\ \sqrt[3]{x+6}=3 \end{gathered}\)

Raise both sides to the 3rd power:

\(\begin{gathered} (\sqrt[3]{x+6})^3=3^3 \\ x+6=27 \end{gathered}\)

Subtract 6 from both sides:

\(\begin{gathered} x+6-6=27-6 \\ x=21 \end{gathered}\)


Related Questions

Solve for z.
-cz + 62 = tz + 83

Answers

This is how I solved it and the answer
Solve for z.-cz + 62 = tz + 83

The two lines intersected by the transversal are parallel. What is the value of x?

The two lines intersected by the transversal are parallel. What is the value of x?

Answers

1? HSHSHSHSHSHSHHSHSHSHS

Answer:

Step-by-step explanation:

Angles on the same side of the transversal are supplementary.

(4x-8)+(3x-1)=180

=7x-8-1=180

=7x-9=180

7x=180+9

7x=189

x=189/7

x=27

Hope it helped..

Find the area of the figure. Use 3.14 for π.

Find the area of the figure. Use 3.14 for .

Answers

Answer:

Round to hundredths if necessary.Rectangle topped by a semicircle - ScieMce.

Step-by-step explanation:

ind the area of the figure. Use 3.14 for π. Round to hundredths

xThe object above is symmetrical through Z. If Y = 19 inches, Z = 21 inches, and H = 10 inches, what is the area of the object?A. 420 square inchesB. 210 square inchesC. 57 square inches

xThe object above is symmetrical through Z. If Y = 19 inches, Z = 21 inches, and H = 10 inches, what

Answers

hello

to solve this question, we have to take the object part by part and solve for the area and the add them up together.

we can solve for x using pythagoran theorem

\(\begin{gathered} 19^2=10^2+x^2 \\ x^2=19^2-10^2 \\ x^2=361-100 \\ x^2=261 \\ x=\sqrt[]{261} \\ x=16.16 \end{gathered}\)

since we know the

xThe object above is symmetrical through Z. If Y = 19 inches, Z = 21 inches, and H = 10 inches, what

You stand at zero on a number line and flip a coin. When the coin is heads, you move one unit to the right. When the coin is tails, you move one unit to the left. After each flip, you record your position on the number like. Let g represent your position after the nth flip.

a.Explain why g is a function

b. What does g(5)=3 represent

c. What is the probability that g(3)=0

Answers

By using the concept of number line, it can be calculated that

a) g is a function

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) Probability that g(3) = 0 is zero

What is a number line?

All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.

a) Here, g represents the position after the nth flip

After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero

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use words to describe what a variable is

Answers

Answer: :) If u in college I have to know this already

Step-by-step explanation: :)

Timmy’s T-shirt is having a huge back to school sale all the T-shirts in the store are currently discounted by 15% T represent the regular price of any T-shirt in the store the discount represented by the expression T -0.15 tea which expression can also be used to find the sales price of any T-shirt

Answers

Answer:

(1 - 0.15)T

Step-by-step explanation:

Given that;

Regular Tshirt price = T

Discount of sales = 15%

Hence, 0.15 of regular price ;

Discount = 0.15T

Hence, the sale price of any Tshirt ;

Regular price - discount on regular price.

T - 0.15T

Factorixe

T(1 - 0.15)

Which of the following fractions converts to a terminating decimal greater than one?



1/4


13/11


4/3


7/2

Answers

Answer:

7/2

Step-by-step explanation:

7/2= 3.5 so it is terminating

Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other​ equation, in order to solve this​ problem? Explain your reasoning.
x=4y-9
x+4y=3

Answers

Answer:

(- 3, 1.5)

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

Given system:

x = 4y - 9x + 4y = 3

The first expression is ready to be substituted as no further operation is required to simplify it.

4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5

Find x:

x = 4*1.5 - 9x = 6 - 9x = - 3

Use the to the right the value of PT. T is the midpoint of PQ
PT=7x+5 and TQ=9x-9

Answers

By using the figure below, the value of line segment PT is equal to 54 units.

How to determine the midpoint of a line segment?

In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).

Since T is the midpoint of PQ, we have the following:

Line segment PT = Line segment TQ

7x + 5 = 9x - 9

9x - 7x = 9 + 5

2x = 14

x = 14/2

x = 7.

Now, we can determine the value of PT:

PT = 7x + 5

PT = 7(7) + 5

PT = 54 units.

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Complete Question:

Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5

Use the to the right the value of PT. T is the midpoint of PQ PT=7x+5 and TQ=9x-9

Please explain your answer to the question in the picture with steps

Please explain your answer to the question in the picture with steps

Answers

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

Rational equation

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Please answer asap





Please
Please

Please answer asapPleasePlease

Answers

Step-by-step explanation:

Standard form:

y = ax² + bx + c

Vertex form:

y = (x - h)² + k

Identity used:

(a ± b)² = a² ± 2ab + b²

6 - 7)

Standard to vertex form conversion by completing the square

y = x² - 3x + 16

  = x² - 2*1*3/2 + (3/2)² - (3/2)² + 16

  = (x - 3/2)² - 9/4 + 16 =

  = (x - 1.5)² + 13.75

8 - 9)

Same as above

y = x² - 2x + 3

  = x² - 2*1*x + 1² - 1² + 3

  = (x - 1)² + 2

10 - 12)

Vertex to standard for conversion by opening parenthesis and simplification

y = (x - 11)² + 15

  = x² - 22x + 121 + 15

  = x² - 22x + 136

13-15)

Same as above

y = (x - 4)² + 11

  = x² - 8x + 16 + 11

  = x² = 8x + 27

If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?

Answers

Answer:

Step-by-step explanation:

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a six the first time and a spade the second time

Answers

Answer:

1/4(1/4)=1/16, or 6.25% chance.

Step-by-step explanation:

There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.

I hope this helps!

If one angle equals 34”, then the measure of its complement angle is 56°.
True
OO
False
I need help

Answers

Answer:

True

Step-by-step explanation:

Complementary means they should sum to 90 degrees

34+56=90

Answer:

True

Step-by-step explanation:

Complementary angles are angles that add to 90 degrees, or a right angle.

If the two angles are complementary, then they will add to 90 degrees.

One angle is 34°, and it's complement is 56°.

Add the angles.

34°+56°

90°

Since they add to 90 degrees, they are complementary angles. Therefore, the statement is true.

What value should go in the box

What value should go in the box

Answers

First option, hopes this helps

4b • 0.5a 2ab 2a2b 2ab2 2a2b2

Answers

Answer:

(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab

Step-by-step explanation:

Write these numbers in standard form:
a. 8731000
b. 0.053
c. 0.00094
d. 0.543
e. 28765
f. 3 x 6 x 104
g. 170 x 10-2
h. (3 x 10-3)3
i. (2 x 10-4) (5 x 103)
j. (12 x 105) ÷ (4 x 102)

Answers

Step-by-step explanation:

j. seems to be challenging

Write these numbers in standard form:a. 8731000 b. 0.053c. 0.00094d. 0.543e. 28765f. 3 x 6 x 104 g. 170
Write these numbers in standard form:a. 8731000 b. 0.053c. 0.00094d. 0.543e. 28765f. 3 x 6 x 104 g. 170

How many groups of Two-thirds are in Three-fifths?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
StartFraction 9 Over 15 EndFraction
StartFraction 9 Over 10 EndFraction
1 and one-third
1 and StartFraction 1 over 9 EndFraction PLZ BE FAST THIS IS A BIG TEST IS I DONT DO GOOD I WILL FAIL!!!!!!!!1>:(

Answers

Answer:

its b

Step-by-step explanation:

i got answer wrong and it was b

There are 9/10 groups of Two-thirds are in Three-fifths.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

There are groups of Two-thirds are in Three-fifths.

Now,

Let x groups of Two-thirds are in Three-fifths.

Hence, we can formulate;

⇒ x = 3/5 ÷ 2/3

⇒ x = 3/5 × 3/2

⇒ x = 9/10

Thus, Number of groups of Two-thirds are in Three-fifths = 9/10

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A car travels a distance of 112km at an average Speed of 70km/h. It then Travells Further for 60km at an average Speed of 50 km/hr. Calculate for the entire Journey of the total time taken.

Answers

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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50 pounds of dog food for $38.00
what is the unit rate

Answers

Answer:

about 1.32 pounds for 1 dollar

Step-by-step explanation:

simply do 50÷38 then you get your answer

Answer:

rounded up to 1.32 pounds for 1 dollar

Step-by-step explanation:

Simply take 50 and divide it by 38 to get your answer

a line passes through the points (-6,4) and (-2,2) which is the equation if the line?

y=-1/2x +1
y=1/2x+ 7
y=-2x -8
y=2x +16​

Answers

Answer:

y= -1/2x+1

Step-by-step explanation:

12 1/2 gal= qt
can you help me plsssssss

Answers

Answer:

50 qrts

Step-by-step explanation:

12.5 gal = 4x qrts

12.5 * 4 = 50

in 1/2 a gal. there is 2qt.

so that makes a gal = 4qt.

12 x 4 =48qt plus 2qt equals 50 qt

Which line plot displays a data set with an outlier?
giving out 20 points and please no gussing

Which line plot displays a data set with an outlier?giving out 20 points and please no gussing

Answers

Answer:

the one on the bottom left, with 23 all by its lonesome

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

50 POINTS !!PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

6.7 km

Step-by-step explanation:

c² = 4.9²+4.5²

= 24.01 + 20.25

= 44.26

c = √44.26 = 6.7

John bought 75kg of chocolate. He packed the chocolate equally in 7 bags. How much chocolate did he pack in each bag? ​

Answers

Answer: 10.7142857kg in each bag

Step-by-step explanation: If you divide 75 by 7 you would get 10.7142857. There fore there is about 10.7142857kg of chocolate in each bag.

HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!


question 4. Solve each compound inequality.

HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!! question 4. Solve each compound inequality.

Answers

Answer:

-7/2≤x<3

Hope this helps!

Answer:

Step-by-step explanation:

bvcvcvcbvcbvcbvbvcv

A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $

If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?

Reminder: There are 52 weeks in a year.

Answers

The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

What is the total value of the prize?

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

How much money is needed to put into the account?

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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Determine the unknown length. Round your answer to the nearest tenth, if necessary.

Determine the unknown length. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

16

Step-by-step explanation:

a^2+b^2=c^2

a^2+12^2=20^2

144+a^2=400

a^2=256

a=16

I need the answer. Please help

I need the answer. Please help

Answers

The area of the sector = πr²·Θ/360

=3.14 x 12² x 330 ÷ 360 ≈ 415 ft²
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