What is the volume of the following rectangular prism?

Answer:

6π

Step-by-step explanation:

(135/360)×π×4²

(135/360)×π×16

=6π

Answer:

( x − 3 ) ( x + 5 )

Step-by-step explanation:

HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

; factor the left side of the equation

; (x−3) (x+5) = 0

set factors equal to 0

x − 3 = 0

or

x + 5 = 0

; so, x = 3  or  x = −5

Answer:

Doman is always the x-intercept.

And Range is always the y-intercept.

Domain = {-5, 0, 5, 10, 15}

Range = {-1, 0, 1, 2, 3}

So the answer is C.

Answer:

280.8 pounds

Step-by-step explanation:

Original weight of pig = 54 pounds

Percentage increase in weight = 420%

Current weight of pig = original weight + 420% of original weight

= 54 + 420% of 54

= 54 + 420/100 * 54

= 54 + 4.2 * 54

= 54 + 226.8

= 280.8 pounds

Current weight of pig = 280.8 pounds

Answer:

The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

32 degrees.

Step-by-step explanation:

A triangle is 180 degrees.

180 - 85 - 63 = 32 degrees.

Answer:

x = 32

Step-by-step explanation:

All interior angles in a triangle equal to 180

use this to solve for x

180 = 85 + 63 + x

180 - 85 - 63 = x

32 = x

Answer:

12

Step-by-step explanation:

f(14)= f (3 + 11)

= f(3) = 12

Therefore the value of f(14) is 12.

Answer:

The common factor is 1.

Step-by-step explanation

The common factor of 1 and 2 is 1 since 1x2=1.

Answer:

x = 7

Step-by-step explanation:

The larger triangle is twice as big as the smaller triangle. Therefore, the length of the side EF is twice as large as the side YZ.

I multiplied 4.5 (the length of YZ) and 2 to get 9. The value of side EF is 3x-12 and should be equivalent to 9.

3x - 12 = 9

I solved this equation by adding 12 to both sides and dividing 3 on both sides.

The value of x is 7.

Answer:

72 yd³

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2( 8 x 3 ) =  1/2( 24 ) = 12

Volume = 12  *  6 = 72

Units = yd³

72 yd³

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

60˚, 75˚

Step-by-step explanation:

for part a:

since all sides are the same length (represented by the 3 same type of tick marks on all sides) then the triangle is equilaterial. Which means all the angles are the same.

Sum of angles in a triangle is 180˚.

x represents the value of <N, <M, and <P

so since all angles are the same, 3x = 180, all angles of part a triangle are 60˚. Therefore, <M is 60˚.

for part b:

this is an isoceles triangle since two sides are the same length.

If it's isoceles, that means it's 2 base angles are the same value.

We've already been given the vertex angle.

x represents the value of <S and <Q

2x + 30 = 180.

2x = 150

x = 75˚

Answer:

Step-by-step explanation:

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\frac{1}{2}[/tex] x + 4 ( multiply through by 2 to clear the fraction )

2y = x + 8 ( subtract 8 from both sides )

2y - 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex](x ) = 2x - 8

[tex]f^{-1}[/tex](4) = 2(4) - 8 = 8 - 8 = 0

Answer:

B

Step-by-step explanation:

It goes up and right

Answer:I hope this could help !ut the answer is 4

Step-by-step explanation:

2 of them left so there are 4 left

Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

B parallel yourwelcome

Answer:

b

Step-by-step explanation:

there aren't diagonals in a square there are in a rhombus learn the difference in the future it can really help you try this out please give brainlest I'm trying to rank up

Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

Answer:

x1= -2

x2= 6

Step-by-step explanation:

x^2-4x-12=0

x^2+2x-6x-12=0

x(x+2)-6(x+2)

(x+2)*(x-6)

one solution

x+2=0

x=-2

other solution

x-6=0

x=6

Answer:

y-y1=m(x-x1)

y-2=1/3(x-3)

y=1/3x+1

======================================================

Explanation:

The numbers up top are 1,1,1. They multiply to 1*1*1 = 1. So that means 1 is the numerator of the answer.

The numbers down below are 6,2,3. They multiply to 6*2*3 = 36. This is in the denominator for the answer.

That means (1/6)*(1/2)*(1/3) = 1/36

The rule I used is (a/b)*(c/d) = (a*c)/(b*d)

Answer:

1/36

Step-by-step explanation:

Step 1:

1/6 · 1/2 · 1/3       Equation

Step 2:

1/6 · 1/6          Multiply

Answer:

1/36

Hope This Helps :)

Answer:

13, 14

Step-by-step explanation:

The parameters of the numbers are;

A whole number value = 2 × Another number + 6

The sum of the two numbers is less than 50

Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number

Where 'x' represents the second number, we get;

x + 2·x + 6 < 50

Simplifying gives;

3·x + 6 < 50

x < (50 - 6)/3 = 14.[tex]\overline 6[/tex]

x < 14.[tex]\overline 6[/tex]

Therefore, the numbers for which the inequality holds true are numbers less than 14.[tex]\overline 6[/tex]. From the given option, the numbers are 13, and 14.

Answer:

7

Step-by-step explanation:

7.11 × 10^7

The number 71,100,000 can be written in scientific notation as 7.11×10⁷ after using the concept of the scientific form of a number.

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

It is given that:

The number is 71,100,000

After converting it into the scientific notation:

7.11×10⁷

Which is equal to 71,100,000

Thus, the number 71,100,000 can be written in scientific notation as 7.11×10⁷ after using the concept of the scientific form of a number.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

20.27 km

Step-by-step explanation:

 14.47

+ 5.8

 20.27

Answer:6

Step-by-step explanation:

Answer:

Your answer is right!

-130

Step-by-step explanation: