Change.83 to a fraction.
83
[?]

it’s for acellus and it’s not 100 apparently please help as soon as you can

The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

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Answer:

10 percent

Step-by-step explanation:

Since the increase is 2 dollars, you divide 20 by 2 to see the percent increase. This equals ten percent.

Hope this helps! Happy friday:)

Answer:

Percent Increase = 10%

Step-by-step explanation:

$22-$20

= $2

Use percentage formula (percentage = increase in price *100 / Initial price)

2*100 / 20

= 200/20

= 10

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

no solution is the correct answer

Answer:

The decimals are 3.5 and 14.35.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

11x+2=90

11x=88

x=8

Answer:

19. X=8

20. x=7

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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Step-by-step explanation:

I'm pretty sure it would be 67

Answer:

There is a unique solution.

The solution is x = 0, y = 0, and z = 0.

The system intersects at one point.

The system is independent and consistent.

Step-by-step explanation:

edge

A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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By the pigeonhole principle, there must be at least two people at the party.

What is pigeonhole principle?

The pigeonhole principle is a fundamental concept in mathematics that states that if there are n items and k containers, and n > k, then at least one of the containers must contain more than one item.

This is an example of the pigeonhole principle. The pigeonhole principle states that if you have n pigeons and fewer than n pigeonholes, then there must be at least one pigeonhole with more than one pigeon in it.

In this case, we have 19 people and only 18 possible pigeonholes (since you cannot put two people in the same spot).

Therefore, by the pigeonhole principle, there must be at least one pigeonhole (i.e., a spot at the party) with more than one pigeon (i.e., more than one person). In other words, there must be at least two people at the party.

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Answer:

(x-5)(x+4) = 0

Step-by-step explanation:

We are given the quadratic equation x²-x=20

And we want to factor it, meaning that we want to split it apart, usually to make it easier to solve.

First, let's subtract 20 from both sides, as when all 3 terms of a quadratic equation are on the same side, it makes it a lot easier to solve.

x² - x = 20

    -20  -20

_______________

x² - x - 20 = 0

Now, we can get on to factoring.

In a quadratic equation, written as ax² + bx + c = 0 (like in here), b (the coefficient in front of just x, not x²) is equal to the sum of two numbers, while c is the product of the same two numbers.

The coefficient in front of x (b) is -1, and c is equal to -20.

Now think: which two numbers add up to -1, and multiply to equal -20?

Those numbers are -5 and 4.

Now, to factor a quadratic, we split it up into 2 binomials multiplied by each other, and each binomial is x + one of the numbers we found above. It looks like this: (x+1)(x+2). Remember that this only affects the left side; the right side stays the same.

In this case, we have -5 and 4, which will take the place of 1 and 2 in the example above.

Therefore, the factored form of x² - x - 20 = 0 is (x-5)(x+4) = 0.

The score at the 80th percentile is 67.6.

To find the 80th percentile, we need to determine the score that separates the top 20% of the scores from the rest.

The five-number summary gives us the minimum, maximum, median, and quartiles of the distribution. We can use this information to determine the interquartile range (IQR), which is the distance between the first and third quartiles:

IQR = Q3 - Q1 = 76 - 39 = 37

To find the score at the 80th percentile, we need to add 80% of the IQR to Q1:

score at 80th percentile = Q1 + 0.8 × IQR

= 39 + 0.8 × 37

= 67.6

Therefore, the score at the 80th percentile is 67.6.

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Answer:Scale factor is 10 , the second part is 50

Step-by-step explanation:

The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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The maximum area of the enclosure is 562500 square feet

The function is give as:

V(x) = 1500x - x^2

Differentiate

V'(x) = 1500 -2x

Set to 0

2x = 1500

Divide by 2

x = 750

Substitute x = 750 in V(x) = 1500x - x^2

V(x) = 1500*750 - 750^2

Evaluate

V(x) = 562500

Hence, the maximum area of the enclosure is 562500 square feet

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Answer:

-1

Step-by-step explanation:

\( - 4x \ + 7 = 11 \\ collect \: liked \: terms \\ - 4x = 11 - 7 \\ - 4x = 4 \\ divide \: both \: sides \: by \: - 4 \\ = - 1\)

Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

Answer:

z=2.61

Step-by-step explanation:

This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

A.

Sample Space:

{Heads, Tails} x {1, 2, 3, 4, 5}

B. Favorable Outcomes: {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}

A. The sample space for this event can be represented as a set of all possible outcomes, which can be written as {Heads, Tails} x {1, 2, 3, 4, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all numbers from 1 to 5.

B. The favorable outcomes for the event of choosing an odd number are {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

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So the value of the vector product 3C . (2A × B) = 1242.

Given that the vectors are,

A = 4 i + 3 j - 3 k

B = - 3 i + 2 j + 4 k

C = 8 i - 9 j

So, now calculating the required we get,

2A = 2 (4 i + 3 j - 3 k) = 8 i + 6 j - 6 k

3C = 3 (8 i - 9 j) = 24 i - 27 j

So, cross product is given by,

2A × B

= \(\left[\begin{array}{ccc}i&j&k\\8&6&-6\\-3&2&4\end{array}\right]\)

= [(6) (4) - (2) (- 6)] i - [(8) (4) - (- 3) (- 6)] j + [(8) (2) - (- 3) (6)] k

= [24 + 12] i - [32 - 18] j + [16 + 18] k

= 36 i - 14 j + 34 k

So the dot product is given by

3C . (2A × B) = (24 i - 27 j) . (36 i - 14 j + 34 k ) = 24 * 36 + (- 27) * (- 14) = 1242

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The question is not clear. The clear question will be -

"For the following three vectors, what is 3⋅C⋅(2A × B)?

A=4.00i+3.00j−3.00k; B=−3.00i+2.00j+4.00k; C=8.00i−9.00 j"

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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Answer:

59

because 116 - 180 = 64 +57 =121 -180 =59 I hope this helps!

The change in height of water level as calculated from the given data is -2 units.

6(3x + 4) = 4x − 4

18x + 24 = 4x - 4

18x - 4x = -24 - 4

14x = -28

x = -2

Hence, the solution of the equation 6(3x + 4) = 4x − 4 is x=-2.

Solving an equation is a method of determining the value of an unknown variable contained in the equation. If an equation contains a 'equal to' sign, it is considered to be balanced.

As a result, this equation symbolizes the fact that it has two quantities that are equal on both sides. LHS (Left hand side) and RHS (Right hand side) are the two sides of the equation (Right hand side).

An equation is, for example, x - 4 = 5. It denotes that x - 4 (LHS) equals 5. (RHS). In this case, x is an unknown quantity or variable. As a result, we must solve this equation to determine the value of x.

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Step-by-step explanation:

If y varies inversely as x, it means that their product is constant. We can write this relationship as y x k = constant, where k is the constant of variation.

To find the value of k, we can use the initial values given: "x=-1 when y=3". Substituting these values into the equation gives us:

3 x k = constant

We don't need to know the value of the constant, just that it is the same throughout. Now we can use this relationship to find x when y is 15:

y x k = constant

15 x k = constant

We can solve for x by isolating it:

15 x k = constant

x = constant / k

Since the constant is the same throughout, we can use the initial values to find k:

3 x k = constant

-1 x k = constant

Dividing these equations gives us:

3 / (-1) = -k / k

-3 = -k^2 / k

Simplifying:

k = -k^2 / 3

Multiplying both sides by -3:

3k = k^2

Rearranging:

k^2 - 3k = 0

Factorizing:

k(k - 3) = 0

So k = 0 or k = 3.

Since k cannot be zero (otherwise y would be zero for all x), we can use k = 3. Therefore, the equation is:

y x 3 = constant

Using this equation to find x when y is 15:

15 x 3 = constant

x = constant / 45

We don't need to know the value of the constant, just that it is the same throughout. Therefore, when y is 15, x is equal to constant divided by 45.

Hopes this helps

The net outward flux across the boundary of the tetrahedron is 5, using the concept of the gradient of a function.

The gradient  function in a vector field

The gradient function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z). The gradient is a fancy word for derivative or the rate of change of a function. It's a vector (a direction to move) that. Points in the direction of greatest increase of a function are zero at a local maximum or local minimum because there is no single direction of increase

Vector field:

F = ( -x, 3y, 2 z )

Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )

Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]

Δ . F = - 1 + 3 + 2

Δ . F = 4

According to divergence theorem

Divergence Theorem

The divergence theorem states that the surface integral of the normal component of a vector point function F over a closed surface S is equal to the volume integral of the divergence. F  took over the volume V enclosed by the surface S. The divergence theorem says that when adding up all the little bits of outward flow in a volume using a triple integral of divergence, the total outward flow from that volume, as measured by the flux through its surface.

Flux =  ∫∫∫ Δ. (F) DV

x+ y +z = 1; so, 1st octant

x from 0 to 1

y from 0 to 1 -x

z from 0 to 1-x-y

∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx

= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) by dx

= 5

Therefore, conclude that the net outward flux across the boundary of the tetrahedron is  5

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In this form, "a" determines the direction of the opening of the parabola. If "a" is positive, the parabola opens upwards, and the vertex represents the minimum value of the function.

If "a" is negative, the parabola opens downwards, and the vertex represents the maximum value of the function.

A quadratic function in vertex form is given by:

\(f(x) = a(x - h)^2 + k\)

where (h, k) represents the vertex of the parabola. We are given that the vertex is (-3, 5), so we have:

\(h = -3\)

\(k = 5\)

Substituting these values, we get:

\(f(x) = a(x + 3)^2 + 5\)

To find the value of "a", we can use the fact that the function passes through the point (0, -4). Substituting these values, we get:

\(-4 = a(0 + 3)^2 + 5\)

\(-4 = 9a + 5\)

\(-9 = 9a\)

\(a = -1\)

Therefore, the quadratic function in vertex form that satisfies the given conditions is:

\(f(x) = -(x + 3)^2 + 5\)

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Answer:

el numero 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Four right angles eliminates trapezoids.

Four right angles also eliminates any triangle

General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.

The answer is rectangles and squares.