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Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

Answer:

work is shown and pictured

Answer:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Step-by-step explanation:

For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.

The total of people is given by:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Answer:

-40

Step-by-step explanation:

Work backwards

4 * -7 = -28

-28 - 12 = -40

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

Answer:

1/4 or .25

Step-by-step explanation:

8x =2

Divide by 8 on both sides

8x=2

__. ___

8.     8

x = 2/8=1/4 or .25

Answer: x equals 1/4 or 25% or 0.25

Answer:

f(x)=(x+1)(x-5)

Step-by-step explanation:

The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)

Answer:

(b) 15/50

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 25+15+10 = 50 small balls.

Of those, 15 are blue.

Probability of taking a blue ball:

15/50

This means that (b) is the correct answer.

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020

Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

Answer:

5 galon  por min uto

Step-by-step explanation:

Answer:

1. 1.55π,

2. 16π,

3. 2.45π,

4. ( About ) 5.56π,

5. 13.7π

6. ( About ) 1.78π

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

Area of sector; 1.55π

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

Area of sector; 16π

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

Area of sector; 2.45π

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

Area of sector; ( About ) 5.56π

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

Area of sector; 13.7π

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

Area of sector; ( About ) 1.78π

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

This is a trapezoidal prism, which is defined as

[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]

This is a triangular prism, which is defined as

[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

~

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.

-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]

-Distributed Incorrectly:

[tex]8n + 4+5n=-6n-14[/tex]  (only distributed the 1 by the 4)

-Distributed Correctly:

[tex]8n + 4+20n=-6n-14[/tex]  (distributed both 1 and 5[tex]n[/tex] by the 4)

-The correct calculation:

[tex]8n + 4(1+5n)=-6n-14[/tex]

[tex]8n + 4+20n=-6n-14[/tex]

[tex]12n+4 = -6n -14[/tex]

[tex]12n + 4+ 6n=-6n+6n-14[/tex]

[tex]18n +4 = -14[/tex]

[tex]18n +4 -4 = -14 -4[/tex]

[tex]18n = -18[/tex]

[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]

[tex]n = -1[/tex]

The correct answer is [tex]n = -1[/tex] .

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

Answer:y=4

Step-by-step explanation:

2(5y-2)=12+6y

10y-4=12+6y

4y-4=12

4y=16

y=4

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

Answer:

- 190

Step-by-step explanation:

Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.

Answer:

B) -190

Step-by-step explanation:

Trust

Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

[tex]\sqrt{x^{2}-7[/tex]

Step-by-step explanation:

Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses

We know that :

[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]

[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]

Using the above formula, we can write it as :

[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]

[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]

[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]

Answer:

[In Picture]

Step-by-step explanation:

There are no given options.

However, I am able to recreate the best answer for the question given.

There would be arrow going to the left from -3. The arrow will include all numbers less than -3.

Since there is a less than sign, the circle at the beginning of the arrow is open.

Choose the option that closely matches the line shown.

The number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

n < - 3

This is read as,

n is less than -3.

The graph of the number line is given below.

Thus,

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ5

Answer:

1294000

Step-by-step explanation:

There are two ways to do this: The short way and the long way:

Answer:

16

Step-by-step explanation: