What is the volume of the cylinder below?
A. 60 units³
B. 80 units³
C. 96 units³
D. 120 units3

The classification of the statements with regards to the function for the population of the two animals are presented as follows;

The true statements is presented as follows;

The statements which are not true are presented as follows;

It cannot be determined

A mathematical function is a definition or rule that maps input values to output values, such that each input is mapped to exactly one output.

The specified statements are analyzed as follows;

The above statements cannot be determined because the rate at which the functions changes are not specified

The increasing number of Animals A in the lake and the decreasing number of Animals B in the lake indicates that at a point in time the number of animals in the lake will be the same, because the high or low value of Animal A will after increasing be equivalent to the high or low value of Animal B after decreasing. Therefore, the above statement is not true

The above statement is true because, A(t) and B(t) are the number of the Animal A and Animal B at time t.

The above statement cannot be determined as the value of the number of each species at year 3 are not specified

The above statement is not true because the number of animals of each species changes (increases or decreases) with time

The above statement is not true because the total number of Animal A and Animal B in the lake is the sum of the numbers of Animal A and Animal B in the lake.

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A floating graphic is an object on a document that can be moved around independently of the text.

One nicest features of floating graphics is that they allow you to wrap your text around the visible area of a graphic, as opposed to wrapping it round a rectangle, making it look highly professional (see article: How to wrap text around the visible area of a graphic).

This means that it can be placed anywhere on the document and can be repositioned as needed.

With this in mind, the correct answer to the question "Which of the following is true of a floating graphic?" is that it can be moved independently of text.

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The decimal form of the given terms are

2/20 = 0.1

3/20 = 0.15

4/20 = 0.2

5/20  = 0.25

Carlos knows that the decimal form of 1/20= 0.05

The decimal form of the first term is

2/20=2×(1/20)

Substitute the value of 1/20

=2×0.05

=0.1

The decimal form of the next term is

3/20= 3×(1/20)

= 3×0.05

= 0.15

The decimal form of the next term is

4/20= 4×(1/20)

=4×0.05

=0.2

The decimal form of the next term is

5/20= 5×(1/20)

= 5×0.05

=0.25

Hence, the decimal form of the given terms are

2/20 = 0.1

3/20 = 0.15

4/20 = 0.2

5/20  = 0.25

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Answer:

no

Step-by-step explanation:

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = \(\sqrt[3]{V}\) ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

Answer:

Step-by-step explanation:

28 kayaks rented each for $25 per day.

Each $5 increase in price results in loss of 4 rentals.

It is:

The revenue is:

Let the change be x, then the revenue is:

This is a quadratic function. It has its maximum at vertex, which is determined as x = - b/2a.

The vertex is:

The maximum revenue at this value is:

Answer:

$30 rental with $720 revenue per day

Step-by-step explanation:

28 kayaks rented each for $25 per day.

Each $5 increase in price results in loss of 4 rentals.

It is:

4/5 = 0.8 rentals loss per $1 increase

The revenue is:

R = P*N, where P - rental price, N- number of kayaks rented

Let the change be x, then the revenue is:

R = (25 + x)(28 - 0.8x) = 700 + 8x - 0.8x²

This is a quadratic function. It has its maximum at vertex, which is determined as x = - b/2a.

The vertex is:

x = - 8 / (-0.8*2) = 5

The maximum revenue at this value is:

R = (25 + 5)(28 - 4) = 30*24 = 720

Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

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     2. There is not sufficient evidence to support the claim that the average percentage of readers who own a particular make of car is above 53%

What is null and alternative hypothesis??|
The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

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If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Answer:

Step-by-step explanation:

Just do -4/22-5/22 = 9/22 and just add a t, which is 9/22t.

Answer:a^2

Brailniest if this helped ;)

Also the ^ means an exponent just so you know

Answer:

k=100

y the varies inversely as x

\(y \alpha {x}^{ - 1} \)

that is y is equal to inverse of x

introducing a constant k, you have

\( k = x \times y \\ 5 \times 20 \\ 100\)

There is no solution for the system of equations because the determinant of A is zero.

A matrix is an array of rows and columns containing numbers, symbols, or expressions that is rectangular in shape.

In linear algebra, matrices describe linear mappings and enable explicit computations. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices.

Given the equations,

9x + 4y + 6z = -8

9x + 4y + 6z = -5

x - 8y + 8z = -6

solving by matrix method,

A = \(\left[\begin{array}{ccc}9&4&6\\9&4&6\\1&-8&8\end{array}\right]\)

B = \(\left[\begin{array}{ccc}-8\\-5\\-6\end{array}\right]\)

X = \(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\)

X = A⁻¹B

for A⁻¹, calculate the determinant of A

|A| = \(\left|\begin{array}{ccc}9&4&6\\9&4&6\\1&-8&8\end{array}\right|\)

|A| = 9(32 + 48) - 4(72 - 6) + 6(-72 - 4)

|A| = 720 - 264 - -456

|A| = 0

since |A| is zero there are no solutions for the equation.

Hence there are no solutions for a system of equations.

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The greatest possible straight-line distance between any two points on the rectangular  box is approximately 15 inches.

To find the greatest possible straight-line distance between any two points on the rectangular box, we need to use the Pythagorean theorem.
First, we can find the diagonal of the base of the box by using the Pythagorean theorem:
a² + b² = c²
Where a and b are the length and width of the base of the box, and c is the diagonal.
Substituting the given measurements, we get:
10² + 10² = c²
100 + 100 = c²
200 = c²
c ≈ 14.14
Now, we can find the diagonal of the box itself by using the Pythagorean theorem again:
a² + b² + c² = d²
Where a, b, and c are the length, width, and height of the box, and d is the diagonal.
Substituting the given measurements, we get:
10² + 10² + 5² = d²
100 + 100 + 25 = d²
225 = d²
d ≈ 15
Therefore, the greatest possible straight-line distance between any two points on the box is approximately 15 inches.

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Answer:

35+15 =50

50/2= 25 dollars

The company made 900 widgets in one hour

3,600 widgets in 4 hours

therefore 3,600 / 4 for one hour = 900 widgets

900 widgets in one hour.

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Answer:

\(-26x^2+56x-15\)

Step-by-step explanation:

\(3x(-2x + 7) - 5(x - 1)(4x - 3)\)

Expand the brackets:

\(\implies -6x^2+21x-5(4x^2-7x+3)\)

\(\implies -6x^2+21x-20x^2 +35x-15\)

Collect like terms:

\(\implies -6x^2-20x^2+21x +35x-15\)

Combine like terms:

\(\implies -26x^2+56x-15\)

Answer:

Step-by-step explanation:

This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899

3x(-2x + 7) - 5(x - 1)(4x - 3)

= (-6x^2 + 21x) - 5(4x^2- 7x +3)

= -6x^2 + 21x - 20x^2 + 35x - 15

= -26x^2 + 56x -15

the probability of blindly drawing at least one blue marble in two attempts from the given bag of marbles is 1/2 or 50%.

To calculate the probability of drawing at least one blue marble in two attempts from a bag containing one blue, one green, one orange, and one yellow marble, we need to consider the possible outcomes.

In the first attempt, there are four marbles in the bag, and one of them is blue. So, the probability of drawing a blue marble on the first attempt is 1/4.

In the second attempt, if a blue marble was not drawn in the first attempt, there will be three marbles left in the bag, and one of them is blue. The probability of drawing a blue marble on the second attempt, given that a blue marble was not drawn in the first attempt, is 1/3.

To find the probability of drawing at least one blue marble, we can calculate the probability of the complement event (not drawing a blue marble in both attempts) and subtract it from 1:

Probability of drawing at least one blue marble = 1 - Probability of not drawing a blue marble in both attempts

Probability of not drawing a blue marble in both attempts = (3/4) * (2/3) = 1/2

Probability of drawing at least one blue marble = 1/2 or 50%.

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Answer:

5 lanes will be completely full and 6 people will be left on the last lane

Step-by-step explanation:

The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 3x+2y+z = 3.

and given F = 4i + 4j + 1k

divG = div(3x+2y+z = 3) = 3i + 2j + k

Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA

φ = ∫ (12 + 8 + 1)dA

= 21∫dA

A = 1/2 XY (on the given x-y plane)

3x+2y =3

at x = 0, y = 3/2

y = 0, x = 1

1/2 (1*3/2) = 3/4

Therefore flux = 21*3/4 = 63/4

φ = 63/4.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

4xy

Step-by-step explanation:

(x+y) (x+y) - (x-y) (x-y)​

(x² + xy + xy + y²) - (x² - xy - xy + y²)

(x² + 2xy + y²) - (x² - 2xy + y²)

x² + 2xy + y² - x² + 2xy - y²

x² - x² + 2xy + 2xy + y² - y²

4xy

Answer:

that could literally be anything, as long as the first sum is greater then the second.

example;

(2+4) (3+5) - (6+1) (5+2)

(or, 6+8 = 14, 7+7 = 14, 14 - 14 = 0)

hope this helped :)

Answer:

75 litres of Blue

Step-by-step explanation:

Divide the amount of yellow liters by 3, you'll get 15. To get the amount of blue needed, you multiply 5 by 15.

Answer:

18 = 4(3)+6

12 + 6

Step-by-step explanation:

the answer is 18 = 4(3)+6

because y is 18

Answer:

x=3

Step-by-step explanation:

\(18 = 4x + 6\)

subtract 6 on both sides

\(12 = 4x\)

divide both sides by 4

\(3 = x\)

Answer:

It's A, Because it makes the most sense in this algebra question.

Step-by-step explanation:

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

Answer:

Area: \(4\pi\\\) or 12.6

Circumference: \(4\pi\) or 12.6

Step-by-step explanation:

Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

maximum voltage = 121.5 volts

voltage read = 127.36 volts

Step 02:

127.36 volts - 121.5 volts = 5.86 volts

The answer is:

5.86 volts