Evaluate the formula for B = 9 in.2 and h = 32 in.

32 in.3

9.6 in.3

96 in.3

288 in.3

hi how have you been and i think u did get it right

Answer:

There is an 18% increase in the number of employees.

Answer:

2

Step-by-step explanation:

because of your options

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

12 hours

Step-by-step explanation:

4 / 2

2/2

1

4 = 2²

2² x 3 = 4 x 3 = 12

Answer:

option H: -5

Step-by-step explanation:

\(sum \ of \ 7, 0 , -4, 2, -10 = 7 + 0 + (-4) + 2 + (-10)\)

                                  \(= (7 +2)+( -4) +( -10)\\=9 - 4 - 10\\=9-14\\=-5\)

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer: True

Step-by-step explanation:

Given that a store purchased an item for $90.

They want a profit of 40% of their costs.

So, 40% of their costs = 40% of $90

= 40/100 * 90

= $36

Let y be the minimum selling price

So, from the question we c an say thst:

y = $(90 + 36)

y = $126

Therefore the minimum selling price of $126 would give the profit of 40% of their cost.

Answer:

1,607 plus the amount of people multipled by 1.15

Step-by-step explanation:

2 fog machines = $80

1 sound equipment = $165

1 disco ball = $45

80+165+45+855+462= $1,607

You have the correct sequence of reasons

Here's what the full step by step picture looks like

3.25(1.25x + 0.5) = 10.5  ................ given

4.0625x +  1.625 = 10.5  ................ distributive property

4.0625x = 8.875  ................ subtraction property of equality

x = 2.18461538461539 ....... division property of equality

---------------------------

Notes:

Answer:

I am pretty sure that is right

Step-by-step explanation:

\(3.25(1.25+0.5) = 10.5\)   is given

Then you distribute the \(3.25\\\) to the \(1.25x\) and the \(0.5\).

\(3.25(1.25x)=4.06x\)

\(3.25(0.5)=1.6\)

So the new equation would be \(4.06x + 1.6= 10.5\)

Then you would subtract \(1.6\) from each side to get \(4.06x=8.9\)

Finally you would divide each side by \(4.06\) to get \(x= 1.93\).

Answer:

84 Hamburgers

Step-by-step explanation:

Hamburger = x

Cheeseburger = 2x

x+2x = 252

252/3 = x

x = 84

Hope this helps! (:

Answer:

-2

Step-by-step explanation:

-12 + 20 = 8

8/-4 = -2

Answer:

-2

Step-by-step explanation:

add -12+20

20-12 = 8

Then divide by -4

8/-4 = -2

The surface area of the triangular prism is 137ft².

To get the surface area of a triangular prism, we will calculate the area of each face and then sum them up.

Base area = (4 ft * 5 ft) / 2

Base area = 20ft/2

Base area = 10 ft²

Since triangular prism has two triangular bases, the total area of the triangular bases is:

= 2 * Base area

= 2 * 10 ft²

= 20 ft².

Perimeter of the triangular base:

= 4 ft + 5 ft + 4 ft

= 13 ft

Face area = Perimeter * Height

Face area = 13 ft * 3 ft

Face area = 39 ft²

The total area of the rectangular faces is:

= 3 * Face area

= 3 * 39 ft²

= 117 ft².

The Surface area of the triangular prism will be:

= Total area of triangular bases + Total area of rectangular faces

= 20 ft² + 117 ft²

= 137 ft².

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A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

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If the federal government passes a $20 per hour minimum wage, the average household income in the country will rise. This increase in the average household income will cause an increase in the aggregate demand for loanable funds. This increase in demand for loanable funds will cause the interest rate to rise, as there will be more people willing to borrow money at a higher rate.

This rise in interest rate is a result of the increased demand for loanable funds. The rise in interest rate will affect all types of loans, from mortgages to car loans to business loans. The higher interest rate will make it more expensive for consumers to borrow money, thus reducing the amount of loanable funds available. The lower availability of loanable funds will cause the interest rate to remain relatively high even after the minimum wage is implemented.

As a result, the federal government's implementation of a $20 per hour minimum wage will lead to an increase in the overall interest rate.

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Answer:

so, 7x²+4x-2 is yr answer.

hope it helps.

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer:

\(Amount = \frac{10}{3}L\)

Step-by-step explanation:

Given

\(Water = \frac{4}{3}L\)

\(Plants = \frac{2}{5}\)

Required

Amount of water for the whole plants

The amount of water for the whole plants is calculated as:

\(Amount = \frac{Water}{Plants}\)

This gives:

\(Amount = \frac{4}{3}L/\frac{2}{5}\) --- The division equation

Convert division to multiplication

\(Amount = \frac{4}{3}L*\frac{5}{2}\) --- The multiplication equation

Solving further:

\(Amount = \frac{4*5}{3*2}L\)

\(Amount = \frac{20}{6}L\)

Simplify:

\(Amount = \frac{10}{3}L\)

Answer:

2880 degrees; 160 degrees

Step-by-step explanation:

(18-2)*180=16*180=2880

2880/18=160

Therefore, 2880 degrees; 160 degrees

I hope this helped and have a good rest of your day!

So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.

Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:

1/30 * 1/29 = 1/870

All done!

The  probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12

Given data ,

Let the probability that the student does not own a trampoline be P ( A ' )

Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:

1 - 14/24 = 10/24 = 5/12

So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12

Hence , the probability is 5/12

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Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Answer:

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Step-by-step explanation:

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = \(\frac{\pi r^{2}}{2}\)

                             = \(\frac{\pi *20^{2} }{2}\)

                             = 200\(\pi\) = 628.3 ft

The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The required number is 7. The expression formed with the given information is x - 21 = 2(-x).

An expression is the combination of variables, constants, and coefficients.

If two expressions are related by an equal in between them, then that is said to be an equation.

From the given data,

Consider the required number = x

The number is decreased by 21 i.e., x - 21

Twice the opposite of the number = 2(-x)

So, on equating,

x - 21 = 2(-x)

On simplifying,

⇒ x - 21 = -2x

⇒ x + 2x = 21

⇒ 3x = 21

∴ x = 7

Thus, the required number is 7.

Check:

7 - 21 = -14 and 2(-7) = -14.

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