The square of a certain number is 4 less than 4 times that same number. What is the value of the number?

Select one:
A. -2
B. -1
C. 0
D. 2

Answer:

h = 17.9909 in

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

V = 1413 in³

r = 5 in

Step 2: Solve for h

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

Answer:

5y-4x

Step-by-step explanation:

2y+3y

-2x*2x

Answer:

2000? ... assume $2000

Resale Value = $2000*(1 - 0.25)t/yr

where: t = number of year after purchase

at t = 3 yr

Resale Value = $2000*(1 - 0.25)3 = $843.75

checking: at t = 0 $2000 (purchase price)

at t = 1 yr $2000 - 0.25*$2000 = $2000 - $500 = $1500

at t = 2 yr $1500 - 0.25*$1500 = $1500 - $375 = $1125

at t = 3 yr $1125 - 0.25*$1125 = $1125 - $281.25 = $843.75

The factors of  polynomial expression x^4 + x^2 − 20 is [tex](x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$[/tex].

We are given that;

The polynomial expression =[tex]x^4 + x^2 − 20.[/tex]

Now,

To factor a polynomial expression, we need to find the common factors of each term and then use the distributive property to write the expression as a product of two or more factors.

For example,[tex]x^4 + x^2 − 20[/tex] can be written as:

[tex]$x^4 + x^2 - 20 = x^2(x^2 + 1) - 20$[/tex]

We can use the difference of squares formula to factor x^2 + 1 and 20:

[tex]$x^2 + 1 = (x + i)(x - i)20 = (2 \sqrt{5})(2 \sqrt{5})[/tex]

where i is the imaginary unit such that i^2 = -1. Now, we can write the expression as:

[tex]$x^4 + x^2 - 20 = x^2(x + i)(x - i) - (2 \sqrt{5})(2 \sqrt{5})$[/tex]

We can use the difference of squares formula again to factor the whole expression:

[tex]$x^4 + x^2 - 20 = (x^2 - 2 \sqrt{5})(x^2 + 2 \sqrt{5})$[/tex]

we can still factor each factor further into prime factors. We have:

[tex]x^2 - 2 \sqrt{5} = (x - \sqrt{5})(x + \sqrt{5})$\\$x^2 + 2 \sqrt{5} = (x - i \sqrt{5})(x + i \sqrt{5})[/tex]

Therefore, by factorization answer will be [tex](x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$[/tex]

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ4

Answer:

The largest number is -0.622

Step-by-step explanation:

If you do -5/8 on a calculator you get -0.625.

If you order them (least to greatest) they would be ordered like this:

-0.65, -5/8, -0.622

Answer:

∠A = 126°

Step-by-step explanation:

Supplementary angles are angles that add up to equal 180°

Given that ∠B = 54°, we can subtract 54° from 180°.

180° - 54° = 126°

∠A = 126°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A. 107

Step-by-step explanation:

Angles 107 and b are corresponding angles,

Corresponding angles are equal.

So,

b = 107

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

x + (180 - 105) + (180 -140) = 180

x + 75 + 40 = 180

x = 180 -75 - 40

x = 65

Answer:

We have to first see that the given lengths makes a triangle or not by using a+b > c in which a,b and c are

length of sides of a triangle lets check out

16 + 21 = 37 > 28

21 + 28 = 49 > 16

16+ 28 = 44 > 21

As because the statement fits correct in the lengths given so its a triangle

So we can say that the triangle is scalene by means of measurements

but cant be a right angle as by taking the pythagorean triplet

= a^2 + b ^ 2 = c^2

lets see if a=16, b = 21 and c = 28

So a^2 + b^2

= 256 + 441

= 697

but c^2

= 28^2 = 784

As 441 =/= 784

So The triangle lengths cant be a right angled triangle

So 1/2 of possibility is the traingle acute and 1/2 of the possibilty that the triangle is obtuse

Now you can find the correct triangle on the basis of acute or obtuse angle by drawing with given length of sides of triangle

Hope it helps

Answer:

3(360⁰)-335⁰

=1080⁰-335⁰

=745⁰ is a positive angle.

Answer:

r = 0.05 or 5%

Step-by-step explanation:

3450 = 3000 + (3000 · r · 3)

450 = 9000 · r

450/9000 = r

r = 0.05 or 5%

Answer:

i believe it is mice

Step-by-step explanation:

I don't know why they didn't just call it mouses

Answer:

Following are the solution to the question:

Step-by-step explanation:

[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]

z-score for [tex]\hat{p}=0.2[/tex] will be:

z score for will be:

[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]

[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.

Answer:

y = 10

Step-by-step explanation:

6y + 120 = 180

6y = 60

y = 10

Answer:

6

Step-by-step explanation:

I am pretty sure this is the right answer because, to get 3 you subtracted 2 from 5. So if you subtract 2 from 8 you get 6.

Answer: 2+12a

Step-by-step explanation:

add like terms: 3a+9a

Answer:

Rhombus

Step-by-step explanation:

Mark as Brainllest

Answer:

10 days

Step-by-step explanation:

Given data

Deena drinks 2 cups of milk per day

from table

1 cup = 0.25 quarts

Hence she drinks

0.5quarts per day

Hence if 0.5quarts  last for 1 day

5quarts  will last x days

cross multiply

0.5x= 5*1

x= 5/0.5

x=10 days

Answer:

21, 12

Step-by-step explanation:

can you give me brainliest pls im trying to level up lol

Answer:

(12 divided by 6) divided by 4

Step-by-step explanation:

Answer:

http://www.1728.org/radians.htm

The area of a sector = (central angle /360°) * PI * radius^2

area = (135 / 360) * 3.14159265 * 1 * 1

area = .375 * 3.14159265 * 1

area = 1.17809724 square inches

Step-by-step explanation:

Answer:

The length and width dimensions of solid 'a' are multiplied by 2 while the height remains the same to get the representative quantity in solid, b

Step-by-step explanation:

The given parameters of solid 'a' are;

The shape of solid, a = Right, rectangular prism

Let 'l' represent the length of solid 'a', let 'w' represent the width of solid 'a' and let 'h' represent the height of solid 'a'

We have;

The length of solid, [tex]l_b[/tex] = 2·l

The width of solid, [tex]w_b[/tex] = 2·w

The height of solid, [tex]h_b[/tex] = h

Given that we have;

The length of solid, b = 2 × The length of solid, a

The width of solid, b = 2 × The width of solid, a

The height of solid, b = The height of solid, a

The dimensions of length and width of each quantity in solid 'a' will be multiplied by 2 to find the dimension of a similar quantity in solid 'b'

The change in volume from solid 'a' to solid 'b' is given as follows;

The volume of solid, 'a', Vₐ = l × w × h = l·w·h

The volume of solid, 'b', [tex]V_b[/tex] = 2·l × 2·w ×h = 4·l·w·h

[tex]V_b[/tex] = 4 × Vₐ

Therefore, the volume of each unit volume in solid 'a' is multiplied by 4 to get the volume of the image of the unit volume in solid 'b'

The cross sectional area of solid 'a', Aₐ = l × w

The cross sectional area of solid 'b', [tex]A_b[/tex] = 2·l × 2·w = 4·l·w

[tex]A_b[/tex] = 4 × Aₐ

The cross sectional area of each unit of solid 'a' is multiplied by 4 to get the image of the unit cross sectional area in solid 'b'.

Therefore;

The change in the height and width of of solid 'b' is equal to a change in twice the height and width of solid 'a' at a given height, 'h'

The relationships are;

[tex]l_b[/tex] = 2·l, [tex]w_b[/tex] = 2·w, [tex]h_b[/tex] = h

12.56 cubic inches

Step-by-step explanation:

Volume of a cone= π r² h/3

3.14*2*2*3/3

3.14*4*3/3

12.56*3/3

=12.56 cubic inches

Answer:

12.56 cubic inches

Step-by-step explanation:

Answer:

384yd^2

Step-by-step explanation:

Answer in attachment