solve:
S=1/2(a+b)x
please provide steps

Answer:

x = 3

Step-by-step explanation:

12x =  36

There is only one step

Divide both sides by 12

x = 3

Answer: what he said

Step-by-step explanation:..

Answer:

Exact form: 36(3.14)

Step-by-step explanation:

6 x 6 x (3.14 or pie)

36(3.14)

Decimal form: 113.097 = 113.1

Answer: 28.3

Step-by-step explanation:

6/2 = 3(radius)

3*3*3.14 = 28.26

Round up for tenths place

28.3

Answer:

b. x = 123

Step-by-step explanation:

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

3/4

Step-by-step explanation:

green takes up 1/4 so the rest that arnt green is the answer

The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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Answer: $ 927

Step-by-step explanation:

20% is deducted from his check.

20/100 = x/4635 (cross multiplication)

= $927

The deducted amount for each month will be $77.25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Fred's health insurance premium is $4635 annually.

And, His employer pays 80% and he is paid monthly.

Now,

Since, His employer pays 80% and he is paid monthly.

Hence, The percent of deducted salary = 20%

So, The deducted amount of each month = 20% of $4,635 / 12

                                                                = 20/100 × 4635 / 12

                                                                = $927 / 12

                                                                = $77.25

Thus, The deducted amount of each month = $77.25

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The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

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Answer:88

Step-by-step explanation: cause it say 88 students in class then it say how many students per class its 88 i think

Answer:

22

Step-by-step explanation: divided 88 by 4

9514 1404 393

Answer:

  567

Step-by-step explanation:

The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...

  900(0.95^9) ≈ 567

About 567 voters are expected to vote 9 years from now.

Cluster sampling is a type of sampling method where the population is divided into groups or clusters, and then a random selection of clusters is chosen for analysis.

In cluster sampling, the population (machines in this case) is divided into groups or clusters (e.g., based on their location or other relevant factors). Instead of individually selecting machines, entire clusters are randomly chosen. This means that all machines within the selected clusters are included in the sample for analysis.

Cluster sampling is beneficial when it is more practical or efficient to sample groups rather than individual units. By analyzing the selected clusters, one can infer the overall performance of the machines in the manufacturing process.

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Answer:

132 yd³

Step-by-step explanation:

To find the volume of a triangular prism, use this equation: V = (1/2bh) * h

V = (1/2(11 * 4)) * 6

Step 1: Multiply 11 by 4 to get 44.

V = (1/2(44)) * 6

Step 2: Multiply 1/2 by 44 to get 22.

V = 22 * 6

Step 3: Multiply 22 by 6 to get 132.

V = 132

The volume of the figure is 132 yd³.

I hope this helps!  (⌒ω⌒)

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

The function is increasing in the intervals: (-∞, -3) and (2, 5)

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

the answer is A. 1,073 ft

The equation is not in the form y = kx, so the variables are not directly proportional. Therefore, there is no constant of variation.

A direct variation is a function of the form y = kx, where k is a nonzero constant, and the graph of the function passes through the origin, (0,0). Therefore, if an equation is of the form y = kx, then the variables y and x are directly proportional.

And we can easily find the constant of variation k by dividing y by x. The constant of variation is also known as the proportionality constant. So, for each equation, we will first need to write it in the form y = kx to determine if it shows direct variation.

a. 16y = -8x Divide both sides by -8 to get y alone on one side: y = -1/2 xThe equation is in the form y = kx, where k = -1/2, so the variables are directly proportional.

The constant of variation is k = -1/2, written in simplest form.

b. -5x + 6y = -5Solve for y in terms of x by isolating y on one side of the equation:6y = 5x - 5y = 5/6 x - 5/6

The equation is not in the form y = kx, so the variables are not directly proportional. Therefore, there is no constant of variation.

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The volume of the solid in the first octant bounded by the coordinate planes, the cylinder \(x^2 + y^2 = 4\), and the plane y + z = 3 can be found using rectangular coordinates. The resulting volume is (16π)/3 cubic units.

To determine the volume, we need to find the limits of integration for each coordinate. Since the solid is bounded by the coordinate planes, we have the following limits:

0 ≤ x ≤ 2 (from the cylinder equation \(x^2 + y^2 = 4\))

0 ≤ y ≤ \(\sqrt{(4 - x^2)}\) (from the cylinder equation \(x^2 + y^2 = 4\))

0 ≤ z ≤ 3 - y (from the plane equation y + z = 3)

We can integrate the function f(x, y, z) = 1 with respect to x, y, and z over the given limits to find the volume:

V = ∫∫∫ f(x, y, z) dz dy dx

Integrating over the limits, we have:

V = ∫[0 to 2] ∫[0 to \(\sqrt{(4 - x^2)}\)] ∫[0 to 3 - y] 1 dz dy dx

Evaluating this triple integral, we get:

V = ∫[0 to 2] ∫[0 to \(\sqrt{(4 - x^2)}\)] (3 - y) dy dx

= ∫[0 to 2] [(3y - \((y^2)/2\))] [0 to \(\sqrt{(4 - x^2)}\)] dx

= ∫[0 to 2] [(\(3\sqrt{(4 - x^2)}\)) - (\(\sqrt{(4 - x^2)}/2\)] dx

= ∫[0 to 2] (\(3\sqrt{(4 - x^2)}\)) - \(\sqrt{(4 - x^2)}/2\)) dx

Simplifying and evaluating this integral, we get:

V = (16π)/3 cubic units

Therefore, the volume of the solid in the first octant is (16π)/3 cubic units.

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Answer:

Allison is 23 yrs old

Step-by-step explanation:

K = Kelly

A = Allison

K-45 = A

((K-8) / 4) + 8= A

K-45 = ((K-8) / 4) + 8

k-45 = 1/4k - 2 + 8

k-45 = 1/4k +6

k3/4 = 51

k = (51 * 4)/3

k = 68

Kelly is 68 yrs old

k-45=A

68-45 = A

A = 23

Allison is 23 yrs old

Hope this helps! :)

(pls mark brainiest)

The simplified expression 1.2 - 5 is -3.8.To simplify the expression 1.2 - 5, we need to subtract 5 from 1.2. 1.2 - 5 = -3.8 Therefore, the simplified form of the expression 1.2 - 5 is -3.8.

In decimal notation, the result is -3.8, indicating that we have subtracted 5 from 1.2, resulting in a negative value. The subtraction of 5 from 1.2 yields a difference of -3.8, indicating that the result is located 3.8 units below 0 on the number line.

The subtraction process involves taking away a quantity (5) from another quantity (1.2). Since the value being subtracted (5) is greater than the initial value (1.2), the result is negative.

Therefore, the simplified expression 1.2 - 5 is -3.8.

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2² × 23

Step-by-step explanation:

92 = 2 × 46

92 = 2 × 2 × 23

92 = 2² × 23

Answer:

Step-by-step explanation:

(3x 5)(5x − 1) = 15x2 + 22x - 5

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Answer: at the point (5,13).

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

because it is vice versa

sin 30=1/2

cos 30=√3/2

Answer:One pint and 16 quarts or one pint and four gallons

Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.

Let's start by the formula of the average rate of change. This is the same as before:

The values of v_1 and v_2 also are the same, which is the endpoints of the given interval. So

To find

We can check the y-value that corresponds to the x-value in the graph.

We can see in the graph that for v = 0 (which is the x-value) we have k(v) = 5 (which is the corresponding y-value).

Similarly, for v = 3 we have k(v) = 0.

See here:

Now we just have to input into the formula:

Answer:

i used the (b•h)/2 formula  <--------------1

Step-by-step explanation                    1

that is the answer above this -----------1