Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores.

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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Answer:

I hope this helps :)

Step-by-step explanation:

So what I've provided is a screenshot of a graphing calculator called Desmos. I graphed the equation and that's what I got :)

Answer:

\(( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12\)

Answer:

Step-by-step explanation:

a² + 2ab + b² = (a + b)²

2ab = 2 * x * 8 = 16x

x²  + 16x + 64 = x² + 2* x * 8 + 8²  

                      = (x + 8)²

x² + 16x + 8 - (x +8)(x - 4) = (x+8)² - (x+ 8) (x -4)

                                        = (x +8)(x +8) - (x + 8)(x - 4)

(x +8 ) is common in both terms

                                        = (x + 8) [ (x + 8) - (x - 4) ]

                                        = (x + 8) [ x + 8 - x + 4 ]  

{Combine like terms. so x + (-x ) = 0   and 8 +4 = 12}

                                         = (x + 8) [ 12]

k = 12

Answer:

0.167

Step-by-step explanation:

The answer to 1/6 is 0.16666666666 and the thousandth reduces it to 3 decimals so it would be 0.167 because you round up the 6's up to a seven on the 3rd decimal place.

hope this helps :) !!!

Answer:

0.167

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

Simplify 0.1666666666 repeating to 0.167.

Answer:

It should be the last one

Step-by-step explanation:

If it's wrong sorry but I'm pretty sure it that one

Answer:

D

Step-by-step explanation:

Slope of -2 that's going through y=1

so y=-2x+1

Answer:

12+15+50=77 inches²

Step-by-step explanation:

If each unit or cube is one inch, it will be (3x4x2)/2=12 inches² for the two triangles.

3x5=15 inches² for the rectangle.

And 5x5x2=50 inches² for the two bigger rectangles.

2 ⇒ 1

3 ⇒ 3

4 ⇒ 2

5 ⇒ 1

6 ⇒ 3

7 ⇒ 5

8 ⇒ 2

9 ⇒ 4

10 ⇒ 0

11 ⇒ 2

12 ⇒ 2

Hope my answer helps you✌️

Mark BRAINLIEST

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

The value of x must be equal to 1000

In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as

For x > 0 , a > 0, and a ≠1,

y= logₐ x if and only if x = a^y

Then the function is given by

f(x) = logₐx

Given here  log x= 3 ⇒x=10³

                                 ⇒x=1000

Hence, The value of x must be equal to 1000

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Answer:

the second description and and expression is correct

Step-by-step explanation:

the first one is wrong because it says 7 minus while it should be minus 7

nine times the difference of a number cubed and three; 9(n³-3)

Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.

Given :

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

9 times the difference of a number cubed and three; 9(n³-3)

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

To Find: Which description is paired with its correct expression

Solution:

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

Correct Expression is   -7 + (2/n²)  + 6  

nine times the difference of a number cubed and three; 9(n³-3)

Expression is Correct

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

Correct Expression is  8 + (n²/4) - 7

twice the difference of a number cubed and eight;  2 n³- 8

The correct expression is 2( n³- 8)

Hence the correct answer is :

nine times the difference of a number cubed and three; 9(n³-3)

Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.

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Answer:

loose sweets

Step-by-step explanation:

Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.

A better value would mean that the price is lower per gram.

pre-packed candies

120g ----- £1.49

1 ----- 1.49 ÷120= £0.0124 (3 s.f.)

loose sweets

100g ----- £0.89

1g ----- £0.89 ÷100= £0.0089

since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.

Answer:

A=(0,2)

B=(3,3)

C=(3,0)

D=(4,-3)

E=(0,-4)

F=(-4,-2)

G=(-3,0)

H=(-4,3)

Step-by-step explanation:

(x,y)

x is how many units across. To the right of the vertical line (y-axis) is positive, but to the left of the vertical line (y-axis) is negative

y is how many unit up and down. Above the horizontal line (x-axis) is positive, but below the horizontal line (x-axis)  is negative

Answer:

hey!

your answer is

A) (0,2)

B) (3,3)

C) (3,0)

D) (4,-3)

E) (0,-4)

F (-4,-2)

G (-3,0)

Step-by-step explanation:

hope this helps

you nedd to find the x before the y and write it down

pls put brainliest

Answer:

40 kil east

Step-by-step explanation:

Answer:

40 kilometres east

Step-by-step explanation:

The bus sort of goes in a ']' shape which is why they go East on the way back :)

Answer: B

Step-by-step explanation:

650 boxes would fill up the box completely.

Answer:

Plant A ,and, Plant B

Step-by-step explanation:

Answer: 7/27

Step-by-step explanation: add both numbers to get 54, take 14, divide it by 54 and simplify to get 7/27, I hope this is correct and I hope this helps

I WAS THE FIRST PERSON TO ANSWER BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!

Answer:

The Answer is D. \(\frac{1}{2}\)

Step-by-step explanation:

half of the deck is black cards and the other half is red cards

Answer:

16 pints

32 cups

2 gallons

Step-by-step explanation:

Total: 8 quarts.

Pints:

There are 2 pints in 1 quart.

It is given that there are 8 quarts. Multiply 2 pints with 8 quarts:

(8 quarts) * (2 pints/1 quart) = 16 pints/8quarts

16 pints

Cups:

There are 4 cups in 1 quart.

It is given that there are 8 quarts. Multiply 4 cups with 8 quarts:

(8 quarts) * (4 cups/1 quart) = 32 cups/8 quarts

32 cups.

Gallons:

There are 4 quarts in 1 gallon.

It is given that there are 8 quarts. Divide 4 quarts with 8 quarts:

(8 quarts)/(4 quarts per gallon) = 2 gallons

2 gallons.

~

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Answer:

16 pints, 32 cups, 2 gallons

Step-by-step explanation:

There are 8 quarts, and I just converted each one.

Answer:

He forgot to flip the second fraction.

Step-by-step explanation:

He has:

−8/9 ÷ 9/8 = −8/9 × 9/8 = −72/72 = −1

He made a mistake. When you change a division to a multiplication, you must use the reciprocal of the second fraction. You have to flipt the second fraction. He did not flip it.

This is correct:

−8/9 ÷ 9/8 = −8/9 × 8/9 = −64/81

Answer:

To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:

n=1: -4(2/3)^0 = -4(1) = -4

n=2: -4(2/3)^1 = -4(2/3) = -8/3

n=3: -4(2/3)^2 = -4(4/9) = -16/9

n=4: -4(2/3)^3 = -4(8/27) = -32/27

So the first four terms of the series are -4, -8/3, -16/9, -32/27.

To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:

r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3

Since the absolute value of the common ratio is less than 1, the series converges.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. Substituting the values we found:

S = -4 / (1 - 2/3) = -4 / (1/3) = -12

So the sum of the infinite geometric series is -12.

Answer:

a)  The first four terms of the series are:

    -4, -8/3, -16/9, -32/27

b)  The series converges.

c)  The sum of the infinite geometric series is -12.

Step-by-step explanation:

Given infinite geometric series:

\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)

Therefore, the formula for the nth term of the sequence is:

\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)

where:

Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.

\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)

\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)

\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)

\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)

A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.

Use the infinite geometric series sum formula to find sum of the infinite series.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:

\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)

Therefore, the sum of the given infinite geometric series is -12.

Step-by-step explanation:

1.) 5x-4y=20

y=5/4x-5

5x/4-5=0

x=4

2.) 3x+3y=15

y=-x+5

x+5=0

-x=-5

=x=5

3.) y=3/4x-2

3/4x-2=0

x=0

3x4x/4 -2 x4x-0x4x

3-2x4x=0x4x

3-8x=0

8x=-3

=x=3/8

4.) y=3/2x+3

3/2x+3=0

x=0x

3x2x/2+3x2x=0x2x

3+3x2x=0x2x

3+6x=0

6x=-3

x=_3/6

=x=-1/2

Answer: 1/6

Step-by-step explanation:

because it is one of the six possible even outcomes

Answer:

8x7 = 56 x 20 = 1,120 divide it by 60

Step-by-step explanation: they will meet at 4:06 am

Answer: 906

Step-by-step explanation:

75,516-67,358= 8,158

2019-2010= 9 years

8,158÷9= 906

The increase in the population is 8158 and average increase in the population per year is 906.4.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Population of Missoula in 2010 = 67,358

Population of Missoula in 2019 = 75,516

Increase in the population = 75,516 - 67,358 = 8158

Average increase in the population per year = 8158 / (2019 - 2010)

                                                                           = 8158 / 9

                                                                           = 906.4

Hence the increase in the population is 8158 and average increase per year is 906.4.

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