Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)

Answer:

False

Step-by-step explanation:

36% of 15120 =

36% * 15120 = 36/100 * 15120 = 36 *

false 36% of 15120 is 544.32

The measured height in feet of the base to its highest peak is 18045.5 feet

The given parameter is

Length of the base to its highest peak = 5500 meters

As a general rule

1 meter = 3.281 feet

So, we have:

Length of the base to its highest peak = 5500 * 3.281 feet

Evaluate the product

Length of the base to its highest peak = 18045.5 feet

Hence, the measured height in feet of the base to its highest peak is 18045.5 feet

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Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi}{3}r^3\)

In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:

\(V = \frac{4\pi}{3}(5)^3 = 523.6\)

85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:

0.85 x 523.6 = 445.1.

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Answer:

Step-by-step explanation:

1) 40 +5b =  1240

2) 40 + 5b = 1240 {Subtract 40 from both sides}

          5b = 1240 - 40

          5b = 1200     {Divide both sides by 4}

           b = 1200/4

          b = $ 300

This project would cost $27,000 (option B) to the contractor for a building size of 900ft.

Given = 240 ft take 72 hours:

240 ft / 72 hours = 900 ft / x hours

Cross-multiplying, we get:

240 ft x x hours = 72 hours x 900 ft

x = (72 hours x 900 ft) / 240 ft

x = 270 hours

So, for a 900 ft project, it would take 270 hours of work.

The cost of the project can be found by multiplying the number of hours by the labor cost per hour:

Cost = hours x labor cost per hour

Cost = 270 hours x $100 per hour

Cost = $27,000

Answer:

In words is fifteen eighths

Step-by-step explanation:

2 - 1/8 = 158 = 1 78 = 1.875

Answer:

2 - 1/8

Find the lowest common factor

2/1 -1/8

divide by their denominators and multiply by their numerator

16-1 /8

=17/8

The required by the principle of mathematical induction, the statement is true for all integers n ≥ 0.

Mathematical induction is a method of proof commonly used in mathematics to prove that a statement is true for all positive integers.

The process involves two steps:

Here,
First, we need to prove the statement is true for the base case n=0,

When n=0, we have,

\(\sum_{i=1}^{1} i * 2^i = 1*2^1 = 2\)

and

\(n * 2^{n+2} + 2 = 0*2^{0+2} + 2 = 2\)

Therefore, the statement is true for n=0.

Next, we assume the statement is true for some arbitrary integer k, meaning:

\(\sum_{i=1}^{k+1} i * 2^i = k * 2^{k+2} + 2\)

We want to show that the statement is also true for n=k+1,

\(\sum_{i=1}^{k+2} i * 2^i = (k+1) * 2^{k+3} + 2\)

We can rewrite the left-hand side of the equation as,

\(=\sum_{i=1}^{k+2} i * 2^i \\= \sum_{i=1}^{k+1} i * 2^i + (k+2) * 2^{k+2} \\= k * 2^{k+2} + 2 + (k+2) * 2^{k+2} \\= (k+1) * 2^{k+3} + 2\)

This last step used the assumption that the statement is true for n=k.

Therefore, by the principle of mathematical induction, the statement is true for all integers n ≥ 0.

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Answer:ok what do you want us to do

Step-by-step explanation:

Step-by-step explanation:

2880 = 2⁶ * 3² * 5.

Since not all the prime factors of 2880 have even powers, 2880 is not a perfect square.

Instead, 2⁶ * 3² * 5² is a perfect square as all its prime factors have even powers. The square root of this new number is 2³ * 3 * 5 = 120.

Answer:

Look at picture answer is 2500

Step-by-step explanation:

im pretty sure this is false they can run fro 30 seconds not 20

Answer:

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it.

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Answer:

for perimeter you add all sides. so Lenth x2 + width x2 is 24+30 which would equal 54

for area it's Lenth times width so 12 times 15 equals 156

Answer:

-19

Step-by-step explanation:

-4(3)+(-7)

-12 + (-7)

-12 + (-7)

-12 - 7

= -19

Answer:

Step-by-step explanation:

The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.

Correct choice is A

Product

Option A

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side

Check the picture below.

the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.

the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.

so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.

Answer:

10x³ - 7x² - 7x + 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(10x³ - 3x - 5) - (7x² + 4x - 9)

Step 2: Simplify

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

                 = 58

The balance in the account after the given period is \(\$6,872.74\)  

we know that

The compound interest formula is equal to  

\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(\text{t}= 8 \ \text{years}\)

\(\text{P}=\$4,000\)

\(\text{r}=0.07\)

\(\text{n}=1\)

substitute in the formula above

\(\text{A}=\$4,000(1+\frac{0.07}{1})^{1\times8}=\$6,872.74\)  

Answer & Step-by-step explanation:

Working from the inner circle out:

Natural Numbers: 1,2,3,4

These are the numbers you would use to count

Whole Numbers: 0,1,2,3

The natural numbers and zero

Integers: -3,-2,-1,0,1,2,3

The natural numbers, their opposites, and zero

Rational Numbers: \(-\frac{1}{2}, 0.22222222....,1,2,\frac{2}{3} ,\frac{5}{4} ,6.1\)

-are all numbers that you can write as a quotient of integers \(\frac{a}{b}, b\neq 0\)

-include terminating decimals. For example,  \(\frac{1}{8}=0.125\)

-include repeating decimals. For example, \(\frac{1}{3}=0.333333...\)

In the rectangle:

Irrational Numbers: \(\sqrt{2} ,\pi\)

-have decimal representations that neither terminate nor repeat. For example, \(\sqrt{2} =1.414213...\)

-cannot be written as quotients of integers

Answer:

48 cm by 27 cm

Step-by-step explanation:

(16/9)*3=48/27

Answer:

189

Step-by-step explanation:

9 *21

By  polynomial equation, 7i , −7i this we get  1, y = x²  + 49 .

The x-axis and the graph's intersection points, or the places where y = 0, are known as the roots.

The roots of y equal 0

By figuring out what x is when x ( 7 I ) = y and y = 0 we can find the root at x = 7 i.

x 7 I is the factor.

By determining the value of x at the point where x ( 7 I ) = y and y = 0, the root at x = 7 I was discovered.

x + 7 I is the factor.

One equation can be created by combining all the variables.

y = ( x − 7 i ) ( x + 7 i)

To make the equation y = (x 7 I (x + 7 I easier to understand, multiply all the elements.

Use the FOIL Method to extend (x 7 I ) (x + 7 I

Put the distributive property to use.

y =  x ( x + 7 i ) − 7 i ( x + 7 i )

Put the distributive property to use.

y = x ⋅ x + x ( 7 i ) − 7 i ( x + 7 i )

Put the distributive property to use.

y = x ⋅ x + x ( 7 i ) − 7 i x − 7 i ( 7 i )

Clarify terminology.

x x + x ( 7 I ) x 7 I x ( 7 I ) is the result of combining the opposing terms.

y = x x + 7 I x + 7 I x 7 I ( 7 I ) Rearrange the elements in the terms x ( 7 I ) and 7 I x.

To get y = x x + 0 7 I ( 7 I ), subtract 7 I x from 7 I x.

y = x x 7 I ( 7 I ) is the result of adding x x and 0.

Condense each phrase.

Divide x by x to get y: x 2 7 I (7 I

7 I ( 7 I times itself..

Calculate y = x 2 49 I I by multiplying 7 by 7.

Raising I to the power of 1, y = x²- 49 ( I I

I must be raised to the strength of

1 . y = x 2 − 49 ( i i )

Raise I to the power of 1 and then find y as y = x 2 49 ( I I )

When combining exponents, use the power rule a m a n = a m + n.

y = x ² − 49 i1 + 1

To get y = x ²-  49 I ² ,add 1 and 1.

I ² should be rewritten as 1; y = x ² -  49. -  1

y = x ² + 49 multiplied by 49 by 1.

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The expression that represents the area of the cement walkway is   11 ( 12 + 32x)

The formula for area of a rectangular prism is given as;

Area = 2 ( wl + hw + h )

Where;

Now, let's substitute into the formula for area;

Area = 2 {3(22) + 5x(3) + 22(5x) }

expand the bracket

Area = 2 { 66 + 15x + 110x }

collect like terms

Area = 2{66 + 176x}

Area = 132 + 352x

Area = 11 ( 12 + 32x)

Thus, the expression that represents the area of the cement walkway is   11 ( 12 + 32x)

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Answer:

g(f(- 4)) = 40

Step-by-step explanation:

to evaluate g(f(- 4)) , evaluate f(- 4) and substitute the value obtained into g(x)

f(- 4) = (- 4)² + 3(- 4) + 6 = 16 - 12 + 6 = 4 + 6 = 10 , then

g(10) = 5(10) - 10 = 50 - 10 = 40

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

The given parameters are:

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 *  -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point =  (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

Answer:

1087272828192910101010101

Answer:

(657)

Step-by-step explanation:

Simplify the following:

3 (300 - 70/5 - (3×23 - (8 - 2×3)))

The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:

3 (300 + -14 - (3×23 - (8 - 2×3)))

-2×3 = -6:

3 (300 - 14 - (3×23 - (-6 + 8)))

8 - 6 = 2:

3 (300 - 14 - (3×23 - 2))

3×23 = 69:

3 (300 - 14 - (69 - 2))

| 6 | 9

- | | 2

| 6 | 7:

3 (300 - 14 - 67)

300 - 14 - 67 = 300 - (14 + 67):

3 ((300 - (14 + 67)))

| 1 |

| 6 | 7

+ | 1 | 4

| 8 | 1:

3 (300 - 81)

| | 9 |

| 2 | | 10

| | |

- | | 8 | 1

| 2 | 1 | 9:

3 (219)

3 (219) = (3×219):

(3×219)

3×219 = 657:

Answer: (657)