The rectangles in each pair are similar. Find the unknown measures

If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.

Pyramids square bases  are twice as wide as they are tall

Model of pyramid=3 inches wide

First step is to find the model height

Let Model height=x

2 × height=weight

2x=3

x=3/2

x=1.5

Second step is to calculate the volume of model:

Volume of model=3×3×1.5×1/3

Volume of model=4.5

Therefore the volume of the model is 4.5.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The probability that both number cubes land with the number 3 facing up in one roll is 1/6, or approximately 0.1667, or 16.67%. This means that if you roll the number cubes many times, you can expect that approximately one-sixth of the rolls will result in both cubes showing the number 3.

To find the probability that both number cubes land with the number 3 facing up in one roll, we need to determine the favorable outcomes and the total number of possible outcomes.

Each number cube has 6 faces, and since we want both cubes to land on 3, there is only 1 favorable outcome.

The total number of possible outcomes for each cube is 6, as there are 6 different numbers on each cube.

To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 (favorable outcomes) / 6 (possible outcomes) = 1/6.

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Answer:

98 yd²

Step-by-step explanation:

From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.

The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd

The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:

a² + a² = 14²

2a² = 196

a² = 98

a = √98 = 7√2

The length of the side of the triangle = a = 7√2 yd

The area of the rectangle = length × length = 7√2 × 7√2  = 98 yd²

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

The 90th derivative of y=3sin(x) is 3cos(x).

This can be determined by using the derivative formulas for sine and cosine functions.

The derivative of sine is cosine, and the derivative of cosine is -sine. So, if we take the derivative of y=3sin(x) once, we get y'=3cos(x). If we take the derivative of y'=3cos(x), we get y''=-3sin(x). If we continue this pattern, we see that the derivatives will cycle between 3cos(x), -3sin(x), -3cos(x), and 3sin(x).

Since the 90th derivative is a multiple of 4, we know that it will be the same as the original function, 3sin(x). However, the derivative of sine is cosine, so the 90th derivative will be 3cos(x).

Therefore, the 90th derivative of y=3sin(x) is 3cos(x).

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Step-by-step explanation:

in my opinion, yes it would.

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

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Answer:

8x-2

Step-by-step explanation:

3x^2+x^2-2

=6x+2x-2

=8x-2

The probability that you end up wearing two socks of the same color is approximately 0.288 or 28.8%.

To find the probability of randomly selecting and wearing two socks of a specific color, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:

There are a total of 12 socks in the drawer. When you randomly select two socks, there are 12C2 (combinations of 2 from 12) ways to do this.

12C2 = (12 x 11) / (2 x 1) = 66

So, there are 66 possible ways to select two socks from the drawer.

Number of favorable outcomes:

We need to find the number of ways to select two socks of the same color. There are three different possibilities for this - blue, gray, or black socks.

Number of ways to select two blue socks: 4C2 = (4 x 3) / (2 x 1) = 6

Number of ways to select two gray socks: 5C2 = (5 x 4) / (2 x 1) = 10

Number of ways to select two black socks: 3C2 = (3 x 2) / (2 x 1) = 3

Therefore, the total number of favorable outcomes is 6 + 10 + 3 = 19.

So, the probability of randomly selecting and wearing two socks of the same color is:

P(selecting and wearing two socks of the same color) = number of favorable outcomes / total number of possible outcomes

P(selecting and wearing two socks of the same color) = 19 / 66

P(selecting and wearing two socks of the same color) ≈ 0.288

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The height of the screen will be;

⇒ h = 28 inches

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.

Here,

The diagonal of the screen television = 53 inches

And, The width of the screen television = 45 inches

Let the height of the television = h

So, By the Pythagoras theorem, we get;

⇒ AC² = AD² + DC²

Where, AC = Diagonal of television.

AD = Height of the television

DC = Width of the television.

Substitute all the values, we get;

⇒ 53² = h² + 45²

⇒ 2809 = h² + 2025

⇒ 2809 -2025 = h²

⇒ h² = 784

⇒ h = √784

⇒ h = 28 inches

Thus, The height of the screen = 28 inches

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Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

Answer:

$444.44

Step-by-step explanation:

Let the monthly budget of Edward family be $x.

-> 18% of x = 800

-> 0.18x = 800

-> x = 800/0.18

-> x = 444.44

Thus, the monthly budget of Edward family is $444.44.

Answer:

D

Step-by-step explanation:

Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.

Answer:

D. 2 times the circumference of the original circle

Step-by-step explanation:

The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.

You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.

So the answer is D. 2 times the circumference of the original circle  

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

\(P(\text{Students preferring sharks})=\frac{90}{95}=0.947\)

Probability teachers preferring sharks:

\(P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053\)

Probability students preferring moose:

\(P(\text{Students preferring moose})=\frac{10}{20}=0.50\)

Probability teachers preferring moose:

\(P(\text{Teachers preferring moose})=\frac{10}{20}=0.50\)

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

9625 = 5^n x 7 x 11

9625= 5^n x 77

/77                /77

125= 5^n

5³= 125

n=3

Answer:

n=3

Step-by-step explanation:

9625 = 5^n x 7 x 11

9625= 5^n x 77

/77                /77

125= 5^n

5³= 125

n=3

Answer:

(.6)(y/12)(2z/3)

yz /30

Step-by-step explanation:

The phlebotomist should first collect STAT electrolytes in the ER.

A medical professional who is trained to draw blood samples from patients is known as phlebotomist. The process of taking blood from vein with the help of a needle is known as phlebotomy. An electrolyte test is a blood test that give information about an electrolyte imbalance in the body.

Electrolytes are minerals and salts, such as sodium, Chloride, potassium, and bicarbonate which are found in the blood. These are responsible for conducting electrical impulses in the body. STAT is a short form of a Latin word 'Statim' which means immediately. The phlebotomist should first collect STAT electrolytes in the ER.

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Answer:

3,408

Step-by-step explanation:

Answer:

3,408 is the forms of three thousand four hundred eight

Answer:

The answer is option a

0.8

4/5 = 0.8

Hope this helps.

After 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

If a doctor prescribes 75 milligrams of a specific drug to her patient how many milligrams of the drug will remain in the patients' bloodstream.

We know the exponential decay can be given as:

D = a(1 - r)ⁿ

a is the starting value and n is the number of hours.

D = 75(1 - 0.20)⁶

D = 19.66 milligrams

Thus, the after 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

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Answer:

16.2

Step-by-step explanation:

Add all of them p and divide by the total values. SO there are 9 values, you first add the all up and divide by 9. Easy :)

Answer:

cos(x) = ???

so the maximum cosine can be is 1 and that happens when x = 0

I'm pretty sure that's what you meant...

The value of x where the cosine function attains a maximum value is 0.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cosine function.

The value of cos 90° is 0.

The value of cos 0° is 1.

The value of cos 30° is √3/2.

The value of cos 60° is 1/2.

We see that the cosine function has the maximum value at zero degrees.

Thus,

Cos x has the maximum value at x = 0.

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Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

I would choose Firm 1 for the repair work. Although Firm 1 has a slightly higher mean repair time, its lower standard deviation indicates more consistent and reliable repair times.

To determine which firm to choose for the repair work based on the acceptable range of repair time, we need to compare the performance of both firms in meeting the required time range.

Firm 1:

Mean repair time (μ1) = 74 minutes

Standard deviation (σ1) = 4 minutes

Firm 2:

Mean repair time (μ2) = 72 minutes

Standard deviation (σ2) = 5.1 minutes

To make a decision, we can consider two aspects: the mean repair time and the variability of repair time.

1. Mean Repair Time:

Both firms have mean repair times within the acceptable range of 50 to 90 minutes. Firm 1 has a slightly higher mean repair time of 74 minutes compared to Firm 2 with 72 minutes. However, the difference is not substantial.

2. Variability of Repair Time:

To evaluate the variability, we can consider the standard deviation. A smaller standard deviation indicates less variability in repair times.

Comparing the standard deviations, Firm 1 has a lower standard deviation of 4 minutes compared to Firm 2 with 5.1 minutes. This suggests that Firm 1 has less variability in their repair times.

Based on these considerations, I would choose Firm 1 for the repair work. Although Firm 1 has a slightly higher mean repair time, its lower standard deviation indicates more consistent and reliable repair times. This can provide more assurance that the repair time will fall within the acceptable range consistently, meeting the company's requirements.

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The functions are characterized by their oscillatory behavior and are commonly used in mathematical modeling and analysis.

The toolkit function that has a highest and lowest point and the graph repeats the same pattern over and over is called a periodic function.

Periodic functions are mathematical functions that exhibit a repeating pattern.

The highest and lowest points in a periodic function are known as the maximum and minimum points, respectively.
One commonly used periodic function is the sine function, denoted as sin(x).

The graph of the sine function repeats the same pattern over and over as x increases or decreases.

The highest point of the sine function is 1, while the lowest point is -1.

The graph of sin(x) oscillates between these two extremes.
Another example of a periodic function is the cosine function, denoted as cos(x).

The graph of cos(x) also exhibits a repeating pattern, but it is shifted by a phase difference compared to the sine function.

The highest and lowest points of the cosine function are also 1 and -1, respectively.
Both the sine and cosine functions are examples of periodic functions that have a highest and lowest point, and their graphs repeat the same pattern over and over.

They are widely used in various fields such as physics, engineering, and mathematics to model periodic phenomena like oscillations, waves, and rotations.
In summary, if you are looking for a toolkit function that has a highest and lowest point and the graph repeats the same pattern over and over, you can consider using a periodic function such as the sine or cosine function.

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Step-by-step explanation:

The mathematical function you are describing is called a periodic function. One of the most well-known periodic functions is the sine function. It has a highest and lowest point and repeats the same pattern indefinitely. The general form of the sine function is:

f(x) = A * sin(Bx + C) + D

where:

By adjusting the values of A, B, C, and D, you can modify the characteristics of the sine function to fit your specific requirements.

Please note that there are other periodic functions as well, such as the cosine function, tangent function, and their variations. Depending on the specific requirements of your graph, you may need to explore other periodic functions.

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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