Mathematics College

HELP QUICK!!!! NOW!!!!

Answers

Answer 1

Answer: B. 2,448π units³

Step-by-step explanation:

We will use the formula for the volume of a cylinder to solve.

(The formula, put simplify, finds the area of the base circle and multiples by the height.)

V = πr²h

V = π(12)²(17)

V = (144)(17)π

V = 2,448π

The volume is 2,448π units³ which is option B for your problem.

Answer 2

Solution :

We have been provided with the height and radius and we need to calculate the volume of cylinder. So we would be using it's formula :

V = πr²h

Here,

r is radius h is height

We have :

height (h) = 17 radius (r) = 12

Substituting the value :

>> V = π (12)² (17)

>> V = π (12 × 12) (17)

>> V = π × 144 × 17

>> V = π × 2448

>> V = 2448 π

Therefore :

Option B is correct.

Related Questions

a puppy weighs 1 pound. what does the puppy weigh after 4 weeks

Answers

i think it would be around 7 lbs
(i could be wrong but i think this is about right)

need help with this problem

Answers

Answer:

(28) 61.5, or $61,500

(29) 49.25, or $49,250

(30) the median

Step-by-step explanation:

(28) the mean can be calculated by adding together the values and then dividing by the total number of values.

(45 + 47 + 47.5 + 51 + 53.5 + 125) / 6 = 61.5

(29) the median can be calculated by crossing off the values from the outside in, alternating sides

45, 47, 47.5, 51, 53.5, 125

47, 47.5, 51, 53.5

47.5, 51

you will end with two middle values since there are six values in the set, so average these to find the median

(47.5 + 51) / 2 = 49.25

(30) The median will better reflect the value of the homes because it is not as much influenced by the outlier value, 125, as the mean is.

solve 8 = 2^x + 4.

A. x=-4
B. x=-1
C. x=0
D. x=7

Answers

I got x=2 , in just so confused non of them aren’t 2

How would you apply the fundamental counting principle to a bike lock combination with 5 numbers?

1. 10+ 10+ 10+ 10+10
2. 10x5
3. 10x10x10x10x10
4.none of these

Answers

Answer:

Step-by-step explanation:

A stright road is 1.4 long and 0.04 km wide.what area does it cover?

Answers

Step-by-step explanation:

it is a rectangle !

a straight road and its width.

so, the area is (as for any other rectangle)

length×width

in our case

1.4 km × 0.04 km = 0.056 km²

Answer:

Area formula= length x width

length of road= 1.4 km

width of road= 0.04 km

Area= 1.4 x 0.04

= 0.056 km

What’s the answer to the picture I took?

Answers

Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

What is 6 months to 5 years expressed as a ratio

Answers

Answer:

6:5

Step-by-step explanation:

6:5

the To represents :
this makes 6:5

Find the Volume
I need correct answer

Answers

Answer:

70 cm^3; 1000 cm^3; 343 cm^3; 30 cm^3; 48 cm^3

Step-by-step explanation:

to find the volume to all of these shapes you can just multiply all the sides together

one looks like this

2 * 5 * 7 = 70

70 is the answer for the first one

you repeat this 4 more times

since a cube has all equal sides for 2 and 3 you can just cube your side length

10^3 = 1000

7^3 = 343

afterwards since they are all just rectangular prisms you can just multiply all the sides together

1 * 5 * 6 = 30

4 * 6 * 2 = 48

those are your answers

dont forget to add ^3 behind the cm

Step-by-step explanation:

70cm kr 5ko 12m y x W L H V

ksk

Match the vocabulary words with their definitions. 1. an arrangement of data in logical order predict 2. to tell something in advance chart 3. a list of facts from which a conclusion can be drawn random sample 4. an opinion of the amount, value, or worth of something average 5. dividing the total number by the number being counted estimation 6. every member of a large group has an equal chance of being chosen data

Answers

Answer:

sorting, predict, data, access, divisor, sampling

Step-by-step explanation:

This rectangle is composed of two parts, labeled 1 and 2.
5√2 in
3 in
1
3√2 in
2
What are the areas of each smaller rectangle and the large rectangle?
Drag each tile to the correct location on the image. Not all tiles will be used.
The area of part 1 is
square inches.
The area of part 2 is:
square inches.
The area of the entire rectangle is:
square inches.

Answers

The area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The area of part 1 = 5√2×3 = 15√2 square in

The area of the part 2 = 5√2×3√2 = 15×2 = 30 square in

The area of the entire rectangle = area of part 1 + area of part 2

= (15√2 + 30) square in or

= (30 + 15√2) square in

Thus, the area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.

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Choose the best answer. The diagonals of a square:
A. bisect each other at different angles
B. are the same length and intersect at a right angle
C. do not bisect each other and intersect at right angles
D. are the same length and intersect at different angles

Answers

Answer:

Step-by-step explanation:

are the same length and intersect at different angles

let A={1,2,3,4,5} and B={4,5,6} Let R is relation from A to B defined by R={(a,b):a+b ⊆ B} Then Find 1. R 2. Domain (R) 3. Range (R) 4.Inverse of R

Answers

1. Disregard my comment. Since R is said to be a relation from A to B, we take both a ∈ A and b ∈ A. Then the set R is the pairs (a, b) whose entries' sum belongs to B.

We have

• 4 = 1 + 3 = 2 + 2 = 3 + 1, so R contains (1, 3), (2, 2), and (3, 1)

• 5 = 1 + 4 = 2 + 3 = 3 + 2 = 4 + 1, so R contains (1, 4), (2, 3), (3, 2), and (4, 1)

• 6 = 1 + 5 = 2 + 4 = … = 5 + 1, so R contains (1, 5), (2, 4), …, (5, 1)

Then

R = {(1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4),

… (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

2. The domain of R is the set of all values a in the pairs (a, b) belonging to R :

dom(R) = {1, 2, 3, 4, 5}

3. The range of R is the set of all values b in those same pairs:

range(R) = {1, 2, 3, 4, 5}

4. The inverse of R is the set with the same elements as R, but the entries are swapped:

inv(R) = {(3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2),

… (1, 3), (3, 2), (3, 3), (1, 4), (2, 4), (1, 5)}

In this case, we have R = inv(R).

factorize that x^4+4y^4

Answers

Answer:

(x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

Given binomial:

x⁴ + 4y⁴

In order to factorize it, follow the steps:

Complete the square:

x⁴ + 4y⁴ = (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) = (x² + 2y²)² - (2xy)² = (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

(a + b)² = a² + 2ab + b²a² - b² = (a + b)(a - b)

Scientist want to estimate the population of a particular species of snake.
They collect a sample population of 20 snakes and mark them with tags.
After a few months they catch 120 snakes, 17 of which are marked with
tags. What is the best estimate of the total population of snakes?

Answers

Answer:

the answer is yuo 4utvnjj

Answer:

Step-by-step explanation

Answer= 224

x=224

190x20=3,800/17=223.529412 (make sure to round up)

224

What is the product?

StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction
Two-thirds
Ten-ninths
StartFraction 4 y Over y minus 3 EndFraction
StartFraction 4 y Over y + 3 EndFraction

Answers

The value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]

How to determine the fraction?

The product expression is given as:

[tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex]

Factorize each factor of the expression

[tex]\frac{2y}{y -3} \times \frac{4(y - 3)}{2(y + 3)}[/tex]

Cancel the common factors

[tex]\frac{y}{1} \times \frac{4}{y + 3}[/tex]

Evaluate the product

[tex]\frac{4y}{y + 3}[/tex]

Hence, the value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]

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Answer:

4y/y+3

Step-by-step explanation:

edge 2022

Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.

Answers

The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

What is Cylinder?

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Trailer bed dimension = 1.5 m X 1.5 m

So, height of the cylindrical = 1.5 m

Radius = 1.5/2 = 0.75 m

Now, Volume of Cylinder = πr²h

= 3.14 X (0.75)²X1.5

= 2.649 m³

Surface area of cylinder = 2πrh + 2πr²

= 2πr (h + r)

= 2 X 3.14 X 0.75 ( 1.5 + 0.75)

= 10.59 m²

Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

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Solvex²= 12x-15 by completing the square. Which is the solution set of the equation?
-6- √51, -6 + √51)
1-6-√21, −6+ √21}
(6-√51, 6+ √51)
16-√21, 6+ √21}

Answers

Answer

B

Step-by-step explanation:

The solution to the equation by completing the square is (6 - √21, 6 + √21)

How to complete the square?

The equation is given as:

x²= 12x-15

Rewrite as:

x² -12x = -15

Take the coefficient of x

k = -12

Divide by 2

k/2 = -6

Square both sides

k/4 = 36

Add 36 to both sides of x² -12x = -15

x² -12x + 36 = -15 + 36

Evaluate the sum

x² -12x + 36 = 21

Express the equation as a perfect square

(x - 6)² = 21

Take the square root of both sides

x - 6 = ±√21

Add 6 to both sides

x = 6 ± √21

Split

x = (6 - √21, 6 + √21)

Hence, the solution to the equation by completing the square is (6 - √21, 6 + √21)

Answers

All the numbers follow a pattern of division by 2

Therefore the next number is 3/2 which is equal to 1.5

A box shaped like a rectangular prism has a length of 8 inches and width of 8 inches. Its volume is 512 cubic inches. What is the height of the box?

Answers

Answer = 8 in.
Volume = L x W x H
we know volume =512
L=8
W= 8
512 = 8 x 8 x H
512 = 64H
Divide both sides by 64 to isolate H
8 = H

Check your work
8 x 8 x 8 = 512

What are the zeros of f(x) = x(x − 9)?

Answers

Answer:

x = 0 , x = 9

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x(x - 9) = 0

equate each factor to zero and solve for x

x = 0

x - 9 = 0 ⇒ x = 9

Answer:

The X-intercepts are 0,0 and 9,0

math
any help please

Answers

Step-by-step explanation:

the answer is true

the statement is true

There is a circular pool in the backyard with an approximate area of 113 square inches. What was the diameter?

A.12 inches
B.36 inches
C.48 inches
D.144 inches

Answers

A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,

Area of pool = πR²

113 sq. inches. = πR²

113/π = R²

R = √35.9690

R = 5.9974 ≈ 6 inches

Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,

Diameter of the circle = 2 × 6 inches = 12 inches

Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.

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Answer:

a. 12 inches

Step-by-step explanation:

113 ÷ 3.14 = 35.98726114649682

2√35.98726114649682 = 5.998938334947011

5.998938334947011 x 2 = 11.99787666989402

keyword approximate ;)

write a Pythagorean triplet whose smallest member is 6

Answers

Answer:

6, 8, 10

Step-by-step explanation:

Where:

a = 6

b = 8

c = 10

Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]

[tex]6^2 + 8^2 = c^2[/tex]

[tex]36 + 64 = c^2[/tex]

[tex]100 = c^2[/tex]

c = [tex]\sqrt{100}[/tex]

c = 10

Doug mcdougal is whipping up 72 different snacks for his 12th annual blooper bowl bash he invited 138 guess but only 16 are coming that doesn’t bother dog he still makes 100 bowls of nacho dip he makes twice as many bowls of chili how many guests are coming to the party

Answers

The number of guests coming to Doug McDougal party can be calculated to be 23 people.

What number of people are coming?

Doug invited 138 guests and out of this, only 1/6 will be coming.

The number of people coming is therefore:

= Number invited x Proportion coming

Solving gives:

= 138 x 1/6

= 23 people

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Solve for x in the equation x squared minus 12 x + 59 = 0.

Answers

The value of x in the equation is -4.92

How to solve for x?

The equation is given as:

12x + 59 = 0

Add -59 to both sides of the equation

12x = -59

Divide by 12

x = -59/12

Evaluate

x = -4.92

Hence, the value of x in the equation is -4.92

Answers

Answer: B) 72°

Step-by-Step Explanation:

We know, the Angles of a Triangle sum up to 180 degrees (A.S.P)

Ratio of Angles = 4 : 5 : 6

Therefore, framing the Equation :-
=> 4x + 5x + 6x = 180

Therefore,
4x + 5x + 6x = 180
9x + 6x = 180
15x = 180
x = 180/15
=> x = 12

Finding each Angle :-

4x = 4 * 12 = 48°
5x = 5 * 12 = 60°
6x = 6 * 12 = 72°

Therefore, the largest angle is 72°

What are the solutions to the equation x^2+9x+12=6

Answers

Answer:

[tex]x= -\dfrac {9}2 +\dfrac{\sqrt{57}}{2},~~x = -\dfrac {9}2 - \dfrac{\sqrt{57}}{2}[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2 +9x +12 = 6\\\\\implies x^2 +9x = 6-12\\\\\implies x^2 +9x = -6\\\\\implies x^2 +2 \cdot \dfrac 92 \cdot x +\left(\dfrac 92\right)^2 -\left( \dfrac 92 \right)^2 = -6\\\\\implies \left(x+ \dfrac 92 \right)^2 -\dfrac{81}{4}= -6\\\\\implies \left(x +\dfrac 92 \right)^2 = -6 + \dfrac{81}4\\\\\implies \left(x + \dfrac92 \right)^2 = \dfrac{57}{4}\\\\\implies x+ \dfrac 92 = \pm\sqrt{\dfrac{57}4}\\\\\implies x = -\dfrac {9}2 \pm\dfrac{\sqrt{57}}{2}[/tex]

in a circle H with m angle GKJ=27 find the m angle GHJ

Answers

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the centre is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

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If f(x) = 1-x, which value is equivalent to fi)?

Answers

Answer:

[tex]\sqrt 2[/tex]

Step-by-step explanation:

[tex]f(x) = 1-x\\\\|f(i)| = |1-i| = \sqrt{1^2 +1^2 } =\sqrt 2[/tex]

log_8(5x+4)=3x-4
Write the log equation as an exponential equation. You do not need to solve for X

Answers

The equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]

How to rewrite the equation?

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

[tex]\log_8(5x+4)=3x-4[/tex]

Apply the following law of logarithm

[tex]\log_a(b) = x \to a = b^x[/tex]

So, we have:

[tex]5x + 4 = 8^{3x - 4}[/tex]

Hence, the equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]