Please help me to solve this problem!
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Answer:

38 in

Step-by-step explanation:

P=w+w+h+h=18+18+6+6=26+12=38 in

Answer:

48

Step-by-step explanation:

18+18+6+6=48

Answer:

To find the slope of a line perpendicular to another line, we need to first find the slope of the given line. The equation of the given line is x + y = 3. We can rewrite this equation in slope-intercept form (y = mx + b) by solving for y: y = -x + 3 So the slope of the given line is -1. To find the slope of a line perpendicular to this line, we know that it will have a slope that is the negative reciprocal of -1, which is 1. Therefore, the slope of a line perpendicular to the line whose equation is x + y = 3 is 1.

Answer: 1

Step-by-step explanation:

The given equation x + y = 3 can be rearranged to slope-intercept form, which is y = -x + 3.

To find the slope of this line, we can see that the coefficient of x is -1. Therefore, the slope of the line is -1.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of the slope of the given line.

The negative reciprocal of -1 is 1/1 or simply 1. Therefore, the slope of a line perpendicular to the line x + y = 3 is 1.

Answer:

θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Step-by-step explanation:

Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.

Since r = cosθ

when θ = 0, r = cos0 = 1

when θ = 2π, r = cos2π = -1

Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².

So, when r = 1, z = 3r² = 3(1)² = 3

when r = -1, z = 3r² = 3(-1)² = 3

So, the limits of integration of  

∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Answer:

8.21

Step-by-step explanation:

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

3√2/(√3 - √2) . (√3 - √2)/(√3 - √2)

3√2(√3 - √2)/(3 - 2)

3√2(√3 - √2)

3√6 - 6

3(√6 - 2)

Answer: 3(√6 - 2)

Answer:

Step-by-step explanation:

The answer is 2050

scalar factor= 2, in order to find the scalar factor between two triangle  we need to get the ratio between any of thier side of both the triangle on same side

what is scalar factor?

In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.

In the given question,

In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.

For instance, if we have a vector v = (x, y, z), then multiplying it by a scalar factor k will result in a new vector kv = (kx, ky, kz), which is stretched or shrunk according to the value of k. Similarly, if we have a matrix A, multiplying it by a scalar factor k will result in a new matrix kA, where each element of A is multiplied by k.

in order to find the scalar factor between two triangle  we need to get the ratio between any of thier side of both the triangle on same side

scalar factor= opposite side of bigger triangle / opposite side of smaller triangle

scalar factor= 20/10

scalar factor= 2

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Answer:

The answer is A

Step-by-step explanation:

Answer:

If t= 6

3 (2 x 6 + 5) 6 x 6 + 15

3 (12+5) 36 + 15

3 x 17 =51

= 51

The value of both expressio

Step-by-step explanation:

The value of both expressions when t=6 is 51

When t = 3

3(2 x 3 + 5) 6 x 3 + 15

3 (6 +5) 18 + 15

3 x 11 =33

= 33

The value of both expressions when t= 3 is 33

Answer:

A. The value of both expressions when t=3 is 33

D. The value of both expressions when t = 6 is 51.

E. The two expressions are equivalent.

Step-by-step explanation:

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer: 7

Step-by-step explanation:

f(x) = y

f(-5) = y

x = -5

find the value of y at x = -5

and the answer is 7

Answer:

third // C

Step-by-step explanation:

Answer:

C. R0, 270°

Step-by-step explanation:

Since one rotation is 90 degrees, hence another way to state the transformation is R0, 270°

A transformation is a technique that is used to change the position of a figure in a xy-plane. These transformation techniques are dilation, reflection, translation, and rotation.

For the transformations process (x, y) ) → (x, y). This shows that the initial coordinate must have rotated 3 times across the x and y-axis

Since one rotation is 90 degrees, hence another way to state the transformation is R0, 270°

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The compound inequality to represent the scenario is 60 <= 34 + 1.36x <= 85 and the range is 19 to 37.5

The given parameters are:

Charges = $34

Rate = $1.36

Recommendation = $60 to $85

The total charge on a HCF is represented as:

Total = Charge + Rate * x

So, we have

Total = 34 + 1.36x

The compound inequality to represent the scenario is then represented as:

60 <= 34 + 1.36x <= 85

Add 34 from the inequality

26 <= 1.36x <= 51

Divide by 1.36

19 <= x <= 37.5

Hence, the compound inequality to represent the scenario is 60 <= 34 + 1.36x <= 85 and the range is 19 to 37.5

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1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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The two relations to change the units of temperatueres are:

a) C = (5/9)*(F - 32°)

b) F = (9/5)*C + 32°

We start knowing that:

32°F = 0°C

212°F = 100°C

Taking the difference we can get the relation:

212°F - 32°F = 100°C - 0°C

180°F = 100°C

1.8°F = 1°C

(9/5)*F = 1°C

Then the relation to go from Farhenheit to Celcius is:

C = (5/9)*(F - 32°)

b) To get the other relation, we just need isolate F in the above one, so we get:

C = (5/9)*(F - 32°)

(9/5)*C = F - 32°

(9/5)*C + 32° = F

Then the other relation is:

F = (9/5)*C + 32°

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Answer:

T=71 degrees

Step-by-step explanation:

180- 82º-27º=71º

you got this! lmk if you need any more help! <33

Step-by-step explanation:

5/8 hr = 5/9 mile

1 hr = 5/9 ÷ 5/8

= 8/9 mile

Speed = distance / time

= 5/9 mile / 5/8 hr

= 8/9 miles per hr?

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

\(\mu = 47\)

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

\(4\sigma = 75 - 19\)

\(4\sigma = 56\)

\(\sigma = \frac{56}{4} = 14\)

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{25 - 47}{14}\)

\(Z = -1.57\)

\(Z = -1.57\) has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{60 - 47}{14}\)

\(Z = 0.93\)

\(Z = 0.93\) has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

The amount of water in the bucket after 9 minutes is (a) 88 ounces

From the question, we have the following parameters that can be used in our computation:

f(t)=115-3t

This means that

f(t) = 115 - 3t

Also from the question, we have:

The amount of water in the bucket after 9 minutes.

This means that

t = 9

Substitute the known values in the above equation f(t) = 115 - 3t, so, we have the following representation

f(9) = 115 - 3 * 9

Evaluate the products

f(9) = 115 - 27

Evaluate the difference

f(9) = 88

Hence, the amount of water is 88 ounces

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Answer:

77 F

Step-by-step explanation:

F = (1.8)*25 + 32

  = 45+32

  = 77

Hope this helps!

Answer:

77 degrees Fahrenheit

Step-by-step explanation:

plug 25 into 'C' in the formula

F = 1.8(25) + 32

Given function :-

\(\bf \implies g(x) = \dfrac{3}{x}+7\)

\(\bf \implies y = \dfrac{3}{x}+7\)

\(\bf \implies x = \dfrac{3}{y}+7\)

\(\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} \)

\(\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}\)

Answer:

30 minutes to 40 minutes.

Step-by-step explanation:

From the graph attached,

Distance of Sabrina from her home has been given on y-axis and time taken is on x-axis.

Sabrina's walked 2 miles to reach the library in the duration = 30 - 0

= 30 minutes

She stayed at the library from 30 minutes to 40 minutes (Represented by the straight horizontal line).

Then the third segment represents the journey of Sabrina from library to home.

Therefore, Sabrina was at the library between 30 minutes to 40 minutes.

The correct answer is h equals 5

Answer:

Don't understand retype your question

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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The integers in the set S: {−2, −3, −4, −5} which would make the inequality 4p − 7 ≥ 9p + 8 true are: S:{−3, −4, −5}

In order to determine which integers are true with respect to a solution of the given inequality, we would have to test the given integers by substituting their values into the inequality as follows;

For integers (-2, -3), we have:

4p − 7 ≥ 9p + 8

4(-2) − 7 ≥ 9(-2) + 8

-8 - 7 ≥ -18 + 8

-15 ≥ -10 (False).

For integers (-2, -3), we have:

4p − 7 ≥ 9p + 8

4(-3) − 7 ≥ 9(-3) + 8

-12 - 7 ≥ -27 + 8

-19 ≥ -21 (True).

For integers (-3, -4), we have:

4p − 7 ≥ 9p + 8

4(-3) − 7 ≥ 9(-3) + 8

-12 - 7 ≥ -27 + 8

-19 ≥ -21 (True).

For integers (-3, -4), we have:

4p − 7 ≥ 9p + 8

4(-4) − 7 ≥ 9(-4) + 8

-16 - 7 ≥ -36 + 8

-23 ≥ -28 (True).

For integers (-4, -5), we have:

4p − 7 ≥ 9p + 8

4(-4) − 7 ≥ 9(-4) + 8

-16 - 7 ≥ -36 + 8

-23 ≥ -28 (True).

For integers (-4, -5), we have:

4p − 7 ≥ 9p + 8

4(-5) − 7 ≥ 9(-5) + 8

-20 - 7 ≥ -45 + 8

-23 ≥ -37 (True).

Therefore, -3, -4, and -5 are integers that would make the inequality true.

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Answer:x=3.5 x 60

the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet