10. Carey is making 6 costumes for the school play. Each costume requires 1 1/2 yards of material. How many yards of material should Carey buy? ________

Answers

Answer 1

Answer:

Answer:

thxs

Step-by-step explanation:

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G(x)= (x-4)^2+1......

Answer: G(x)=(x-2)^2+1

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Thirty times the square of a non-zero number is equal to eight times the number. what is the number?

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You said that 30 x² = 8 x

I can divide
each side by 'x': 30 x = 8

Then divide
each side by 30:    x = 8 / 30 = 4/15 .

Check to see if it works:

Does 30 (4/15)² = 8 (4/15) ?

Well, (4/15)² = 16/225

   30 · 16/225 = 480/225 = 32/15
and
   8 · 4/15 = 32/15 yay !

Hello,

let x the unknowed number,

30*x²=8*x
==> 30x=8 (for x ≠0)
==>x=8/30
==>x=4/15

Confusion dans la traduction mentale désolé.

A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

Answers

The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
Answer:
x²/25 - y²/11 = 1

Final answer:

The standard form equation for this hyperbola, when vertices are (+-5,0) and one focus is (6,0), is x²/25 - y²/11 = 1.

Explanation:

In the question, we are given a hyperbola with vertices at (+-5,0) and one focus at (6,0). A hyperbola is defined by its distances from a given point to the two different foci, and its standard form equation along the x-axis can be written as

(x-h)²/a² - (y-k)²/b² = 1

, where (h, k) is the center of the hyperbola, a represents the distance from the center to each vertex, and b represents the distance from the center to each co-vertex. In this case,

h = 0

, since the center of the hyperbola is at the origin. The value of

a = 5

is the distance from the center to each vertex. Finally, the square of the distance c from the center to each focus is defined as

c² = a² + b²

, so we can find

b = sqrt(c² - a²)

. Here, c = 6, so b = sqrt(6² - 5²) = sqrt(11). Thus, the standard form equation of this hyperbola is

x²/25 - y²/11 = 1

Learn more about Hyperbola Standard form Equation here:

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What is the volume of the cylinder below? A. 72π units³

B. 36π units³

C. 45π units³

D. 90π units³

Answers

Answer:

Step-by-step explanation:

According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5). The formula for the volume of a cylinder is:

V = pi*r^2*h.

Here, that volume is V = pi*3^2*4, or 36 pi cubic units. That's Answer B.

The volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Further explanation:

The formula for the volume of the cylinder can be expressed as,

$\boxed{{\text{Volume}} = \pi {r^2}h}$

Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is ${\text{3 units}}$ and the height of the cylinder is ${\text{4 units}}$ and the slant height is $5{\text{ units}}$

The options of the volume are given as follows.

A. ${\text{72}}\pi {\text{uni}}{{\text{t}}^3}$

B. $36\pi {\text{uni}}{{\text{t}}^3}$

C. $45\pi {\text{uni}}{{\text{t}}^3}$

D. $90\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

The volume of the right cylinder can be obtained as follows,

$\begin{aligned}{\text{Volume}} &= \pi {r^2}h\n&= \pi* {\left( 3 \right)^2} * 4\n&= \pi * 9 * 4\n&= 36\pi\n\end{aligned}$

The volume of the cylinder is $36\pi {\text{ unit}}{{\text{s}}^3}.$

Option A is not correct.

Option B is correct.

Option C is not correct.

Option D is not correct.

Hence, the volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.

1. If the expression 9y − 5 represents a certain number, which of thefollowing could NOT be the translation?

a. five less than nine times y

b. five less than the sum of 9 and y

c. the difference between 9y and 5

d. the product of nine and y, decreased by 5

Answers

After examining all options, we find that each one can be represented by the expression 9y - 5. Therefore, there is no option that could NOT be the translation of the given expression.

To find the translation that could NOT be represented by the expression 9y - 5, we need to compare each option with the given expression and determine if they are equivalent or not.

The given expression is: 9y - 5

Now, let's examine each option:

a. five less than nine times y

This option can be represented as 9y - 5, so it is equivalent to the given expression.

b. five less than the sum of 9 and y

This option can be represented as 9 + y - 5, which simplifies to 9y - 5. So, it is also equivalent to the given expression.

c. the difference between 9y and 5

This option can be represented as 9y - 5, so it is equivalent to the given expression.

d. the product of nine and y, decreased by 5

This option can be represented as 9y - 5, so it is also equivalent to the given expression.

To know more about expression:

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