find the surface area of the prism
5cm 12cm 9cm
A 426m2
B 306m2
C 336m2
D 213m2

Answer: Your answer is A: 8.75 Per hours worked.

Step-by-step explanation:

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).

The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.

Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

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The point where the line intersects the plane is (-1/3, 2/3, -1/3).

We substitute the equations for the line into the equation for the plane and solve for the value of t that satisfies the equation. Once we have the value of t, we can substitute it back into the parametric equations for the line to find the point of intersection.

Let's apply this method to find the point where the line x = –1 – t, y = 2 + t, z = 1+ t intersects the plane 3x + y + 3z = 1.

Substituting the equations for the line into the equation for the plane, we get:

3(-1 - t) + (2 + t) + 3(1 + t) = 1

Simplifying the left-hand side, we get:

-3t + 5 = 1

Solving for t, we get:

t = -4/3

Substituting t = -4/3 back into the parametric equations for the line, we get:

x = -1 - (-4/3) = -1/3

y = 2 - 4/3 = 2/3

z = 1 - 4/3 = -1/3

Therefore, the point where the line intersects the plane is (-1/3, 2/3, -1/3).

When we are given a line and a plane in 3D space, we can find the point where the line intersects the plane by solving the system of equations that define the line and the plane simultaneously. The equations for the line are given as parametric equations in terms of the parameter t, and the equation for the plane is given in Cartesian form.

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Between 10 and 180 million years ago, fossil fuels were first formed. That time spans from middle age to the present. Paleozoic deposits are where 10% of them occur.

Phosphorus is a chemical element with the atomic number 15 and the symbol P. The two primary forms of elemental phosphorus are red and white, however due to its high reactivity, free phosphorus is not present in nature.

The answers to the questions in the list are as follows.

Between 10 and 180 million years ago, fossil fuels were first formed. That time spans from middle age to the present. Paleozoic deposits are where 10% of them occur.

The growth of marine algae requires a number of essential ingredients, including carbon dioxide, nitrogen, and phosphorus. The benefit of utilizing wastewater is that it may be used to support high-strain algae that can remove 90% of the nitrates and roughly 50% of the phosphorus from the wastewater.

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Answer:

Sam is  yeas old, and Dean is (x - 10) year's old, where 'x' is the age of their sister

Step-by-step explanation:

The relationship between the ages of the brothers are;

Sam's age + Dean's age = Their sister's age

Dean's age + 10 = Dean's age + Sam's age

Therefore, we have;

Sam's age = Dean's age + 10 - Dean's age = 10

Sam's age = 10 years

Let 'x' represent their sisters age, we get;

Sam's age + Dean's age = x

10 + Dean's age = x

Dean's age (in variable form) = x - 10

The correct choice is A. x = π/6 + nπ (where n is an integer).

The given equation is sin3x+sinx+ √3 cosx = 0. We need to solve the equation on the interval (0, 2π). Using the trigonometric identity, we can write sin3x = 3sinx - 4sin³x. Substitute this in the given equation. 3sinx - 4sin³x + sinx + √3 cosx = 0.

Combine the like terms. 3sinx + sinx - 4sin³x + √3 cosx = 0 .Simplify the equation. 4sinx(1 - sin²x) + 4cosx(sin60°) = 0sinx(1 - sin²x) + cosx(sin60°) = 0sinx(1 - sin²x) + cosx(√3/2) = 0. Divide throughout by cos x.sin x(1 - sin²x)/cos x + (√3/2) = 0tan x(1 - sin²x) = - (√3/2)tan x = - (√3/2) / (1 - sin²x).

Now, we know that the interval lies between 0 to 2π. That is 0 ≤ x < 2π.To find the solution, we need to find all the possible values of x. Thus, let's solve the equation for x as follows. tan x = - (√3/2) / (1 - sin²x)tan x = - (√3/2) / cos²xUse the identity, tan²x + 1 = sec²x.

We get sec²x = cos²x + sin²x/cos²x. We can write tan x as sin x / cos x.tan²x + 1 = sin²x/cos²x + 1sin²x/cos²x + cos²x/cos²x = sec²xsin²x + cos²x = 1sin²x = 1 - cos²x. Now, substitute this in the equation. We get, tan²x + 1 = sin²x/cos²x + 1tan²x = (1 - cos²x)/cos²x + 1tan²x = 1/cos²x.

Thus, we have, tan x = - (√3/2) / cos²xWe know, tan²x = 1/cos²xOn substituting, we get, (1/cos²x) = 3/4cos²x = 4/3. Taking the square root on both sides, cos x = ± 2 / √3sin x = ± √(1 - cos²x) = ± √(1 - 4/3) = ± √(−1/3). Note that sin x cannot be positive.

Thus,sin x = - √(1/3)cos x = 2/√3. The possible value of x is thus,π/6 + nπ, where n is an integer.Thus, the solution is given by,x = π/6 + nπ (where n is an integer)Hence, the correct choice is A. x = π/6 + nπ (where n is an integer).

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A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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Answer:

-18

Step-by-step explanation:

-3*5=-15

-15-3=-18

Answer: -18

Step-by-step explanation:

Substitute x for -3

5(-3)-3

-15-3

-18

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.

We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c

we have to prove that RS is parallel to PQ,

therefore we need to find, PQ = PA + AQ,

= c - c + a + b = a + b,

since we get that  PA = OP = c

therefore when we compare RS and PQ ,we get,

RS  =  PQ = a + b

now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.

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After reviewing the generated schedule on Wednesday, you notice your Pharmacy Technician, Abigail Gibson, isn't being scheduled at all during the week. The option that will cause this is B. Availability is not entered

Pharmacy technicians check inventory and fill prescriptions. Pharmacy assistants assist pharmacists in dispensing prescription drugs to patients or medical professionals. Hospitals and retail pharmacies are where they primarily work.

In order to assist and support patients and guarantee they receive the best care, pharmacists collaborate with pharmacy technicians, who are medical professionals.

In addition to primary care, educational, military, or veterinary practices, pharmacy technicians can work in community (retail) pharmacies, hospital pharmacies, pharmaceutical production or sales in the pharmaceutical industry, prisons, and community (retail) pharmacies.

Based on the information illustrated, the correct option is B.

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Answer:

The price of umbrellas at the store.

Answer:

The person above me is right

Step-by-step explanation:

Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Step by step explanation:

4100625+373248

so the answer is;

4473873

answer in Alternative Form

4.473873x10⁶

trust my answer and liked and make it brainliest please

Answer: D

Step-by-step explanation:

Since the overall degree of the function is even and there are no domain restrictions, but the leading coefficient, 7, is odd the end behavior is:

\(\mathrm{a\\s}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)

Answer:yes

Step-by-step explanation:

Answer:

it should be something like 3.75/1 because she walks a distance of 3.75 over the span of 1 hour... So I think its 3.75, not 1/3.75.

Answer:

check the explanation

Step-by-step explanation:

1. To find the sum of two integers with like signs simply add them and keep the sign same as integers

for example:

\(2 + 3 = 5 \\ - 2 + ( - 3) = - 5\)

2. To find the sum of the integers with unlike signs just subtract them and then keep the sign of the bigger integer.

For example:

\( - 3 + 5 = 2 \\ - 5 + 3 = - 2\)

Answer:

4

Step-by-step explanation:

2 to the power of 4 is the same as 2×2×2×2.

That is also the same as 4×4, which equals 16.

Answer:

4

Step-by-step explanation:

Answer: $313.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the Pythagorean to find the distance XZ:

The difference of the distance is:

Answer:

b = 2

Step-by-step explanation:

Original Equation:

-12 + 3b - 1 = -5 - b

Add b to both sides

-12 + 4b - 1 = -5

Add 12 to both sides

4b - 1 = 7

Add 1 to both sides

4b = 8

Divide both sides by 4

b = 2

Hope this is what you need :)

Answer: d on edge

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The correct option is the third option, which states that 80 percent is being used as a hypothesis.

A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

In the given problem, Jim and Pam conducted an experiment to find out whether temperature affects learning.

20 rats were trained to press a lever in an operant chamber to obtain food pellets.

Jim and Pam estimated that 80 percent of all rats trained on this task in 70 degrees Fahrenheit temperature would emit more than one response per second.

Based on the information provided, 80 percent is being used as a hypothesis or predicted value that Jim and Pam had before conducting the experiment. Therefore, the correct option is the third option, which states that 80 percent is being used as a hypothesis. A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

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The x is a specific value that the variable can take on.

A random variable is a variable that has a numerical value, which is determined by the result of a random experiment. The numerical value is determined by a set of probabilities, which are associated with each possible outcome of the experiment. Random variables can be classified as discrete or continuous, depending on the type of outcomes that they can have. Examples of random variables include the number of heads in a series of coin tosses, the time until a traffic light changes from red to green, and the height of a randomly selected person.The randomness of a random variable comes from the fact that the outcome of the experiment that it represents is uncertain. The uncertainty arises because the experiment is subject to the effects of chance, rather than being completely determined by fixed physical laws or other deterministic factors. Because of this, it is not possible to predict with certainty what the value of a random variable will be, even if we know the probabilities associated with each possible outcome.There are many different notations that can be used to represent random variables, depending on the context and the preferences of the person using the notation. Some of the most common notations include X, Y, and Z, as well as Greek letters such as µ, σ, and ρ. When a random variable is discrete, it is often represented using a probability mass function, which is denoted by P(X=x), where x is a specific value that the variable can take on. When a random variable is continuous, it is often represented using a probability density function, which is denoted by f(x), where x is a specific value that the variable can take on.

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Answer:

C

Step-by-step explanation:

Answer:

Current price $50eax135hats= $6750

Step-by-step explanation:

If he sells the hats at $52 he sells 3 less hats so $52x132=$6864

if he sells the hats at $54 he has 6 less hats= 54x129=6966 etc

$56 x 126=$7056

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G  (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%