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2 years ago

How many integers in the set of all integers from 1 to 200, inclusive, are not the cube of an integer

1 answer:

4 0

Cubing of integers from 1 to 5 will have their cubes in the interval 1 to 200. There are such 5 positive numbers (1,2,3,4,5).

To calculate the variety of integers, locate and subtract the integers of the hobby after which subtract 1. As evidence of the concept, calculate the wide variety of integers that fall between five and 10 on more than a few lines. We realize there are four (6, 7, 8, 9).

All entire numbers are integers (and all herbal numbers are integers), however now not all integers are whole numbers or natural numbers. as an example, -five is an integer but not an entire variety or a natural quantity. An integer is an entire variety (not a fractional number) that can be fine, bad, or 0. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.forty three, 1 3/four, three.14, . 09, and five,643.1.

Learn more about integers here: brainly.com/question/17695139

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What is the answer for -5(a-6) + 2a

katen-ka-za [31]

Answer:

27a

Step-by-step explanation:

-5(a-6)+2a

-5a+30+2a

-3a+30

27a

7 0

3 years ago

Read 2 more answers

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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3 years ago

How do you write 4.8 repeating as a fraction

gulaghasi [49]

24/5
I think this is the right answer, hope this help

8 0

3 years ago

Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then

Ghella [55]

Answer:

Molly paid for each song $1.5

Step-by-step explanation:

Let

x ------> amount that Molly paid for each song

we know that

The amount that Molly paid for each song multiplied by 8 is equal to the gift card value

The linear equation that represent this problem is

$8x=12$

Solve for x

Divide by 8 both sides

$x=12/8$

$x=\$1.5$

Molly paid for each song $1.5

4 0

4 years ago

At the end of year X, automobile installment credit accounted for 36 percent of all outstanding consumer installment credit. At

murzikaleks [220]

Answer:

option (c) 475

Step-by-step explanation:

let the automobile installment credit be 'C'

Given:.

Automobile installment credit accounted for 36 percent of all outstanding consumer installment credit

Now,

57 billion is $\frac{1}{3}$ of automobile installment credit

57 billion = $\frac{1}{3}$ × C

C = 57 × 3

C = 171 billion

now,

installment credit accounted = 36% of all outstanding consumer installment credit

171 billion = 0.36 × all outstanding consumer installment credit

All outstanding consumer installment credit = $475 billion

Hence, the correct answer is option (c) 475

4 0

4 years ago