Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

\(A=a^2\)

Where, a is the side length of the square.

\(a=\sqrt{A}\)

Area of the square is 100 square units. So, the side length is:

\(a=\sqrt{100}\)

\(a=10\)

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

\(a=\sqrt{95}\)

It is not exact. We know that \(\sqrt{81}<\sqrt{95}<\sqrt{100}\).

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

\(a=\sqrt{36}\)

\(a=6\)

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

\(a=\sqrt{30}\)

It is not exact. We know that \(\sqrt{25}<\sqrt{30}<\sqrt{36}\).

Therefore, the side length is between 5 and 6.

Answer:

250mm

Step-by-step explanation:

25 cm x 10 = 250mm

(1cm = 10mm)

Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!

Answer:

Step-by-step explanation:

Hhahahahahahahahhahahahahahaha

Answer:

1 ) alternate interior angle

2) corresponding part of congruent triangle

3) vertically opposite angle

4)∆HED congruent to ∆FEG

5) parallel lines and alternate interior angle

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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Answer:

I HOPE IT WILL HELP YOU....

The statement that true is the central limit theorem is applicable only for data sets comprising thirty or more samples.

Limit in common language means limit.

The definition of this limit states that a function f(x) will approach a certain value if x approaches a certain value.

This approximation is limited between two very small positive numbers known as epsilons and deltas.

The relationship between these 2 small positive numbers is summarized in the definition of limit.

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Answer: 6.40 = c

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 4^2 = c^2

25 + 16 = c^2

41 = c^2

  ____

_/ 41  = c

6.40 = c

Answer:

t + 5 ; 5 + t; t + 7 - 2;

Step-by-step explanation:

there are many more but these are some examples

Answer:

1296 meters

Step-by-step explanation:

I assume we use the free fall equation \(s=16t^2\)

After 9 seconds:

\(s=16t^2\)

\(s=16(9)^2\)

\(s=16(81)\)

\(s=1296\)

This means that the height of the building is 1296 meters

$145.60 / 7 hours = $20.8 / hour

$83.20 / $20.8 = 4 hours

Jose would have to work 4 hours to make $83.20

No, a square matrix with two identical columns is not invertible.

For a square matrix to be invertible (or non-singular), it must have linearly independent columns (or rows). In other words, each column (or row) of the matrix must be unique and not a linear combination of the other columns (or rows).

If two columns of a square matrix are identical, it means that one column is a scalar multiple of the other. This results in linear dependence between the columns, and the matrix does not have full rank.

Since an invertible matrix must have full rank, a square matrix with two identical columns cannot be invertible.

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Answer:

Range = 3.3

Step-by-step explanation:

Range = Max value - Min value

Max value = 100.1

Min Value = 96.8

Range = 100.1 - 96.8

Range = 3.3

Answer: Its B.

Step-by-step explanation:

Just took the test. Also you just take the surface area and divide it by "s".

√30-2√5m is your answer

Answer:

√(180/6)- √(120/6)

√39-2√5m

Simplifying the expression :

(a) dy/dx = -3\(x^2\) - 4\(x^{-3\)+ (\(sec^{2x\))/(\(e^{(tanx)\)) - 2022\(x^{-2023\) -\(\pi ^{2e\)*sin(πe)

(b) dy/dx = (1/(xlnx)) - (6(1+2x))/(x+4+\(x^2\))

(c) dy/dx = (1/(1+(2+√x)²))/(2√x) (d) dy/dx = -3sinx(cos²x + 1).

In calculus, the derivative is a fundamental concept that measures how a function changes with respect to its input variable. It provides information about the rate of change of a function at a particular point and can be interpreted as the slope of the tangent line to the graph of the function at that point.

The derivative of a function f(x) is denoted by f'(x) or dy/dx and is defined as the limit of the difference quotient as the change in the input variable (Δx) approaches zero:

f'(x) = lim(Δx → 0) [f(x + Δx) - f(x)] / Δx

This expression represents the instantaneous rate of change of f(x) at the point x.

Geometrically, it corresponds to the slope of the tangent line to the graph of the function at that point.

(a) To find the derivative of the given function

\(y = -(x^{3}) + 2x^{-2} + ln(e^{(tanx)}) + x^{-2022\) + πcos(πe), we can apply the power rule, chain rule, and product rule.

dy/dx = d/dx[-(\(x^3\))] + d/dx[\(2x^{-2\)] + d/dx[ln(\(e^{(tanx)\))] + d/dx[\(x^{-2022\)] + d/dx[πcos(πe)]

dy/dx = -3\(x^2\) + (-2)(\(2x^{-3\)) + (1/\(e^{(tanx)\))(\(sec^{2x\)) + (-2022)(\(x^{-2023\)) + π(-sin(πe))(πe)

Simplifying further, we have:

dy/dx = -3\(x^2\) - 4\(x^{-3\)+ (\(sec^{2x\))/(\(e^{(tanx)\)) - 2022\(x^{-2023\) -\(\pi ^{2e\)*sin(πe)

(b) To find the derivative of the given function y = ln(lnx) − 6ln(x+4+\(x^2\)), we can apply the chain rule and the power rule.

dy/dx = d/dx[ln(lnx)] - d/dx[6ln(x+4+\(x^2\))]

dy/dx = (1/lnx)(1/x) - 6(1/(x+4+\(x^2\)))(1+2x)

Simplifying further, we have:

dy/dx = (1/(xlnx)) - (6(1+2x))/(x+4+\(x^2\))

(c) To find the derivative of the given function y = arctan(2+√x), we can apply the chain rule.

dy/dx = d/dx[arctan(2+√x)]

dy/dx = (1/(1+(2+√x)²))(d/dx[2+√x])

dy/dx = (1/(1+(2+√x)²))(1/2√x)

Simplifying further, we have:

dy/dx = (1/(1+(2+√x)²))/(2√x)

(d) To find the derivative of the given function y = cos³x + 3cosx, we can apply the chain rule and the power rule.

dy/dx = d/dx[cos³x] + d/dx[3cosx]

dy/dx = 3cos²x(-sinx) + 3(-sinx)

Simplifying further, we have:

dy/dx = -3sinx(cos²x + 1)

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Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

80,70,58 I think let me know if it is wrong

The equation that represents the graphed line is y = -3x + 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The kine is passing through (0, 2) and (1, -1). Then the slope of the line is given as,

m = (2 + 1) / (0 - 1)

m = -3

And the y-intercept of the line is 2. Then the equation of the line is given as,

y = -3x + 2

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The complete question is attached below.

For the rectangular floor, Ms. Perea will need 235 tiles to cover her kitchen floor.

What exactly is a rectangle?

A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.

Now,

To find the number of tiles Ms. Perea will need to cover the kitchen floor, we can divide the total area of the floor by the area of each tile.

The area of the kitchen floor is given by:

Area = Height x Width = 12.5 ft x 22.5 ft = 281.25 sq ft

The area of each tile is given by:

Area of tile = Length of tile x Width of tile = 1.5 ft x 0.8 ft = 1.2 sq ft

To find the number of tiles required, we can divide the area of the kitchen floor by the area of each tile:

t = Area / Area of tile

Substituting the values, we get:

t = 281.25 sq ft / 1.2 sq ft ≈ 234.375

Since we cannot have a fractional number of tiles, we need to round up to the nearest whole number. Therefore, Ms. Perea will need 235 tiles to cover her kitchen floor.

The equation that can be used to find the number of tiles she will need is:

t = (Height x Width) / (Length of tile x Width of tile)

or

t = (12.5 ft x 22.5 ft) / (1.5 ft x 0.8 ft)

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Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{5-2}{2-(-2)}\)

\(m=\dfrac{3}{2+2}\)

\(m=\dfrac{3}{4}\)

Therefore, the slope of the given graphed line is \(m=\dfrac{3}{4}\).

Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

Answer:

AAO 22.902 A 45 12.632 13,939 945 559,302 5A , 480 1.17 6.044 36,491 ... 12.1 F 13.2 12.1 F 13.2 12.1 E 13.2 12.1 F 12.9 12.5 8.6 8.3 F 10.0 9.7 8.6 B.3 E 11.6 ... 10.5 D 11.8 10.5 C 11.8 10.5 D 11.8 10.5 с 11.8 10.5 U 11.8 10.5 D 13.3 12.7 ... 10.1 12.1 11.4 8.8 A.3 13.3 12.9 13.3 12.5 13.3 12.5 13.3 12.5 11.0 10.4 13.3 ...

The given equation of the line is:

It is required to find the x-intercept and the y-intercept.

To find the x-intercept, substitute y=0 into the equation and find x:

Hence, the x-intercept is -4.

To find the y-intercept, substitute x=0 into the equation and find y:

The y-intercept is -7.

Answers:

x-intercept: -4

y-intercepe: -7

Answer:

78.54 m

Step-by-step explanation:

To obtain how much circular fence, we obtain the Circumference of the circular playground.

The Circumference of a circle, C = 2*pi*r

pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m

C = 2 * 3.14 * 12.5

C = 78.539816

Hence, the fencing which need to go up is ;

78.54 m

The coordinate of point B from the given coordinates is (6, -9)

The formula for calculating the midpoint of coordinates is expressed according to the formula:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate points M (2, -2) and A (-2, 1)

Substitute

2 = (x₁+x₂)/2

2 = -2+x₂/2

4 = -2 + x₂

x₂ = 6

Similarly;

Substitute

-2 = (1+y₂)/2

-4 = 1+x₂/2

-8 = 1 + y₂

y₂ = -9

Hence the coordinate of point B from the given coordinates is (6, -9)

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Answer:(6,-5)

Step-by-step explanation:deta math

Answer:

Wdym "Which of the following?"

Step-by-step explanation:

I can't see the answers of it!

Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

Answer:

2x2x2x2x2x2, 4x16, and 8x8

Step-by-step explanation: