#8. Solve: 4x - 5 + 2x = 7
x = 12
x= 1/3
x = 6
x=2

The surface area of the given pyramid is approximately 224.4 square feet.

Given the dimensions of the pyramid:

Slant height = 9 ft

Length of Base = 10.4 ft

Width of Base = 12 ft

Since the base is triangular, then

Base Area =  1/2 × Length of Base × Width of Base

Base Area = 1/2 × 10.4 ft × 12 ft

Base Area = 62.4 ft²

Perimeter of Base = 3 × 12

Perimeter of Base = 36 ft

The surface area can be calculated using the formula:

Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)

Surface Area = 62.4 ft² + (0.5 × 36 ft × 9 ft)

Surface Area = 224.4 ft²

Therefore, the surface area of the pyramid is approximately 224.4 square feet.

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The complete question is as follows:

Find the surface area of the shown pyramid.

Answer: 3

Step-by-step explanation:

i just took the quiz

The required scale factor of the triangle ABC to triangle DEF is 3. Option C is correct.

Given that,
To determine the scale factor of triangle ABC to triangle DEF.

The scale factor is defined as the ratio of the modified change in length to the former length.

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Here,
For Triangle ABC and Triangle DEF
The Scale factor  = AB / DE = BC / EF = AC / DF
                          = 9 / 3 = 18 / 6 = 6  / 2 = 3

Thus, the required scale factor of the triangle ABC to triangle DEF is 3. Option C is correct.

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Answer:

g

Step-by-step explanation:

Answer:

The answer is H.

Step-by-step explanation:

For example, H does not make sense, it is saying 2x, 3y, is equal to p, this does not show two equal expressions when the value of x is 3.

Answer:

The area is 8

Step-by-step explanation:

If the perimeter is 12, we can just start guessing and checking. in this case, if 4 is the length, that means 2 is its width, since 4-2=2. then you find the area(basexhight) 4x2=8!

This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.

In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.

The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.

So, the proportion in the body of the distribution is greater than 0.50.

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Answer:

Vertical change of point C to B = 4.5

Vertical change of point A to D = -4

Step-by-step explanation:

Vertical change of a point is the rise of the given point.

Now we have to calculate the rise of point C to B,

y-coordinate of the point C → -2.5

y-coordinate of the point B → 2

Rise from C to B = 2 - (-2.5)

                           = 2 + 2.5

                           = 4.5

Similarly, y - coordinate of point A → 2

y - coordinate of point D → -2

Vertical change or rise = -2 - 2

                                      = -4

Therefore, vertical change of point C to B = 4.5

Vertical change of point A to D = -4

the volume of the prism is

V=L*W*H

we have

L=2

W=1 1/2=1+1/2=3/2

H=1 1/2=1+1/2=3/2

substitute

V=(2)(3/2)(3/2)

V=9/2 units3

V=8/2+1/2=4+1/2=4 1/2 units3

Answer:

  (c)  x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

Step-by-step explanation:

The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.

The last step shown in the derivation so far is ...

  \(x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}\)

The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

  \(\left(x+\dfrac{b}{2a}\right)^2=\dfrac{b^2-4ac}{4a^2}\\\\\sqrt{\left(x+\dfrac{b}{2a}\right)^2}=\sqrt{\dfrac{b^2-4ac}{4a^2}}\\\\\boxed{x+\dfrac{b}{2a}=\pm\dfrac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}}\qquad\text{"next step"}\)

Answer: \(x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}\)

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

\(\left(x+\frac{b}{2a} \right)^2\)

So, taking the square root of both sides,

\(x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}\)

The percentage of the Mercury TMDL being discharged from the POTW's is 56.25%.

The allowable loading from the storm water system is 0.0125 lbs/day.

The TMDL is in conformance, assuming the storm water discharge is within the TMDL limits.

To calculate the percentage of the Mercury TMDL being discharged from the POTW's, we first calculate the total discharge from the POTW's by multiplying the average concentration of mercury (0.02 ppb) by the average winter discharges (200 mgd) and converting it to pounds per day. The result is 8 lbs/day. Since the waste load allocation for the POTW's is 75%, the percentage of the TMDL being discharged from the POTW's is (8 lbs/day / 0.05 lbs/day) * 75% = 56.25%.

The allowable loading from the storm water system can be calculated by multiplying the TMDL (0.05 lbs/day) by the waste load allocation for storm water (25%). The result is (0.05 lbs/day) * 25% = 0.0125 lbs/day.

To determine if the TMDL is in conformance, we compare the allowable loading from the storm water system (0.0125 lbs/day) with the actual storm water discharge. If the storm water discharge is within the allowable limit, then the TMDL is in conformance.


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Answer: Desmos will answer this question for you :) just input the functions

Step-by-step explanation:

Answer:

4*15*pi

188.495559215

Answer:

188.50

Step-by-step explanation:

The equation that can be used to find 'n', the number of people in a family, is 10n + 2 = 126.

Let's break down the information given and set up the equation step by step:

Each family buys the same number of $10 tickets per person to the zoo.

Let's assume that each family consists of 'n' people. Therefore, the number of tickets purchased by each family will be 'n'. As each ticket costs $10, the cost of tickets for one family will be 10n.

Each family pays $2 for parking.

Regardless of the number of people in each family, the parking fee remains constant at $2 per family.

The total cost is $126.

Combining the cost of tickets and the parking fee, the total cost for one family can be expressed as 10n + 2.

Since there are three families, the total cost for all three families will be three times the cost for one family, which is 3(10n + 2). According to the problem, this total cost is $126. We can now set up the equation:

3(10n + 2) = 126

Expanding the equation:

30n + 6 = 126

Subtracting 6 from both sides:

30n = 120

Dividing both sides by 30:

n = 4

By solving this equation, we find that 'n' is equal to 4, indicating that each family consists of 4 people.

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The equation that represents this situation is t − 3 = 18. Tina is 21. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18.

The equation will be written as,

C = T - 3

18 = T-3

T = 18 + 3

T = 21 years

Therefore, the equation that represents this situation is t − 3 = 18. Tina is 21. The correct option is A.

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A rectangle's width and length are respectively 4 and 9.5 feet. The rectangle's circumference is therefore 27n + 2 feet. A rectangle is a quadrilateral with four right angles in the Euclidean plane.

The rectangle's length is 9.5n + 10 and its width is 4n - 9. The lengths of all four sides must be added up in order to determine the rectangle's perimeter.

P = width + two (length)

Substituting the width and length expressions:

P = 2(4n - 9) + 2(9.5n + 10)

Adding and subtracting:

P = 8n - 18 + 19n + 20

P = 27n + 2

Therefore, the rectangle's perimeter is 27n + 2 feet.

It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

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complete question

The width of a rectangle i 4n-9. 5 feet and the length i 9. 5n10 feet. Find the perimeter of the rectangle

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.

a) The optimal quantity of jackets to produce is 997 when demand follows a normal distribution with a mean of 900 and a standard deviation of 60, as calculated using the Newsvendor model.

b) For demand following a Poisson distribution with a mean of 900, the optimal production quantity can be determined by evaluating different values of Q* to maximize the expected profit based on the probabilities calculated using the Poisson distribution's probability mass function.

a) When the demand follows a normal distribution with a mean of 900 and a standard deviation of 60, we can use the Newsvendor model to calculate the optimal production quantity. The Newsvendor model is based on the concept of minimizing expected costs.

Let's denote the optimal quantity of jackets to produce as Q*. The expected profit can be expressed as the revenue minus the expected cost:

Expected Profit = (Retail Price - Production Cost) * Q* - Lost Sales Cost * (Demand > Q*) + Unsold Jackets Cost * (Demand < Q*)

In order to find the optimal Q*, we set the derivative of the expected profit with respect to Q* equal to zero and solve for Q*. This leads to:

Q* = mean demand + (z * standard deviation)

where z is the z-score corresponding to the desired service level. In this case, we want to meet the demand with a probability of, say, 95%. The z-score for a 95% service level is approximately 1.645.

Plugging in the values, we get:

Q* = 900 + (1.645 * 60) = 996.7

Since we can't produce fractional jackets, the optimal number of jackets to produce is 997.

b) When the demand follows a Poisson distribution with a mean of 900, we can use the concept of the optimal order quantity for a single-period inventory model.

The expected profit can be calculated as:

Expected Profit = (Retail Price - Production Cost) * Q* - Lost Sales Cost * (1 - Pr(Demand ≤ Q*)) + Unsold Jackets Cost * (Pr(Demand > Q*))

In order to find the optimal Q*, we need to find the value of Q* that maximizes the expected profit. We can use the probability mass function (PMF) of the Poisson distribution to calculate the probabilities involved.

By evaluating different values of Q*, we can determine the one that maximizes the expected profit.

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Answer:

A

Step-by-step explanation:

For the first block, you need to multiply a x a x b

3 x 3 x 6 = 54

For the 2nd block, you need to multiply a x a x c

3 x 3 x 12 = 108

Now you need to add both volumes of the blocks

108 + 54 = 162 in^3

EXPLANATION

Let's see the facts:

%Earns= 13% commission/week

Last week sold = $7,500

In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:

$Earns = 0.13 (decimal form)*$7,500

Earns = $975

Last week, he made $975 in commission.

If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year

Answer:

4

Step-by-step explanation:

i think i am correct but if im not sorry

Answer:

y=x+8

Step-by-step explanation:

y=x+8

The Equation on the picture is y=x

If a system shouldn't have solutions, they should have the same slope.

True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.

Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.

The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.

This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.

By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.

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Answer:

x=5

Step-by-step explanation: