Cylinder A has radius r, height h, and a volume of 10% cubic units.
Cylinder B has twice the radius and twice the height.
B
Choose 1 answer:
What is the volume of cylinder B?
10 cubic units
20
cubic units
40% cubic units
2r
80% cubic units
2h

The solution to the equation when solved for m is  (v - e)/Z.

To solve for m in the equation Z = (v - e)/m, we can manipulate the equation algebraically as follows:

Z = (v - e)/m

Multiply both sides by m:

Zm = v - e

Add e to both sides:

Zm + e = v

Subtract e from both sides:

Zm = v - e

Divide both sides by Z:

m = (v - e)/Z

Therefore, the solution for m is:

m = (v - e)/Z.

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Answer: center: (5,-5) radius: 8

Step-by-step explanation:

found it online:)

The location of the center and the radius will be (-1.5. -2) and 3, respectively. Thus, the correct option is A.

Given that:

Equation: (x + 1.5)² + (y + 2)² = 9

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

Compare the equation, then we have

Center: (-1.5, -2)

Radius: r² = 9 ⇒ r = 3

Thus, the correct option is A.

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The correct option that shows the associative property is D:

[tex](\left[\begin{array}{ccc}4\\2\end{array}\right] + \left[\begin{array}{ccc}3\\5\end{array}\right]) + \left[\begin{array}{ccc}1\\3\end{array}\right] = \left[\begin{array}{ccc}4\\2\end{array}\right] + (\left[\begin{array}{ccc}3\\5\end{array}\right] + \left[\begin{array}{ccc}1\\3\end{array}\right] )[/tex]

The associative property of addition says that we can perform sums in any order we want:

A + (B + C) = (A + B) + C

The option that shows this property is the one at D, where we have 3 vectors and we can select any order in which we add them, such that the sum is written as:

[tex](\left[\begin{array}{ccc}4\\2\end{array}\right] + \left[\begin{array}{ccc}3\\5\end{array}\right]) + \left[\begin{array}{ccc}1\\3\end{array}\right] = \left[\begin{array}{ccc}4\\2\end{array}\right] + (\left[\begin{array}{ccc}3\\5\end{array}\right] + \left[\begin{array}{ccc}1\\3\end{array}\right] )[/tex]

That expression shows the associative property of the addition with matrices.

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The batting average for Brett is of 0.25 = 25%.

The batting average is obtained applying the proportions in the context of the problem.

A proportion is applied as the batting average is given by the division of the number of hits by the number of at bats.

Brett got 10 hits in 40 at bats, hence his batting average is calculated as follows:

10/40 x 100% = 0.25 x 100% = 25%.

From the image given at the bottom, we have that he got 10 hits on 40 at bats, hence the batting average calculated above is of 25%.

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The length of the golden rectangle is 49 cm.

A rectangle is a quadrilateral (a polygon with four sides) in which each angle is a right angle (90 degrees). It is a type of parallelogram in which opposite sides are parallel and congruent (equal in length). Rectangles have four sides and four vertices (corners).

The length of a rectangle is the distance between its two longer sides, while the width is the distance between its two shorter sides. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width.

A golden rectangle has sides in the proportion of the golden ratio, which is approximately 1:1.618. Therefore, if the width is 30cm, the length can be found by multiplying 30 by 1.618.

Length ≈ 48.54 cm

The length of the rectangle is 49 cm.

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The probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment is approximately c.12%. Therefore, option c.12%.  is correct.

To find the probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment, we need to calculate the proportion of students in that class who have not chosen a topic.

From the table, we can see that in the sixth period, there are a total of 25 students. Out of those, 22 students have chosen a topic, and 3 students have not chosen a topic.

The probability can be calculated by dividing the number of students who have not chosen a topic (3) by the total number of students in the sixth period (25), and then multiplying by 100 to get the percentage:

Probability = (Number of students who have not chosen a topic / Total number of students in the sixth period) × 100

Probability = (3 / 25) × 100

Probability ≈ 12%

Therefore, the probability that Jannette in Mr. Alsup's sixth-period English class has not chosen a topic for her writing assignment is approximately 12%.

The correct answer is c- 12%.

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Answer:

[tex] \frac{41}{3} \times 3 \times \frac{62}{3} = \frac{806}{3} = 268 [/tex]

The cost of the items indicates that the inequality that represents the cost or amount spent is; 18 + 5n ≤ 50, therefore, yes Mai is correct, because the total amount spent depends on the amount with Priya

An inequality is a comparison between two expressions, variables, or quantities that are of different values, using the symbols, '<', '≤', '≠', '≥', and '>'.

The amount Priya has to spend = $50

The cost the gift she finds for her parents = $18

The number of siblings Priya has = 5

Therefore;

The cost of the items she thinks each of her 5 siblings would like = 5 × n

The total cost of the items Priya intends to buy = 18 + 5·n

The inequality that indicates the possibility of Priya buying all the items she finds is therefore;

18 + 5·n ≤ 50

Therefore, May is correct as the amount or the cost of items Priya buys should be less than or equivalent to the $50 Priya has

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The total area Cydney painted on the display stand is 416 square inches, excluding the bottom of the larger cube.

5. To solve the problem, we need to find the total area that Cydney painted on the display stand.

Plan for solving the problem:

6. Solving the problem:

The surface area of a cube is given by the formula: [tex]6 * (side length)^2[/tex].

For the larger cube:

Surface area of the larger cube =[tex]6 * (8 inches)^2[/tex] = 6 * 64 square inches = 384 square inches.

For the smaller cube:

Surface area of the smaller cube = [tex]6 * (4 inches)^2[/tex]= 6 * 16 square inches = 96 square inches.

Since the bottom of the display stand was not painted, we need to subtract the area of the bottom face of the larger cube:

Area of the bottom face of the larger cube = [tex](side length)^2[/tex] =[tex](8 inches)^2[/tex] = 64 square inches.

Finally, we can calculate the total area Cydney painted by adding the surface area of both cubes and subtracting the area of the bottom face of the larger cube:

Total area painted = (Surface area of the larger cube + Surface area of the smaller cube) - Area of the bottom face of the larger cube

= (384 square inches + 96 square inches) - 64 square inches

= 480 square inches - 64 square inches

= 416 square inches

Therefore, Cydney painted a total area of 416 square inches on the display stand.

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The circumference of the given circle is approximately 47.3 inches.

Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:

arc length = (central angle / 360°) x circumference

Plugging in the known values, we have:

4.6 in = (35° / 360°) x circumference

Solving for the circumference, we get:

circumference = 4.6 in / (35° / 360°)

circumference = 4.6 in x (360° / 35°)

circumference ≈ 47.3 in (rounded to the nearest tenth)

Therefore, the circumference of the circle is approximately 47.3 inches.

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The location of Z after the transformations is given as follows:

(-2,-1).

The original coordinates of Z are given as follows:

Z(1, 3).

The translation rule is given as follows:

(x,y) -> (x + 1, y - 4).

Hence the coordinates of Z after the translation are given as follows:

(2, -1).

The rule for a reflection over the y-axis is given as follows:

(x, y) -> (-x, y).

Hence, exchanging the sign of the y-coordinate, the location of Z is given as follows:

(-2,-1).

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Answer:

(-2, -1)

Step-by-step explanation:

Hope this helps :)

The missing sides are;

1) √296 (2) √68 (3)  2√10  (4) 21  (5) 15√3  (6) 14√2

A right triangle is a triangle that has one angle equal to 90 degrees, which is also known as a right angle.

1) Using the Pythagoras theorem;

[tex]x^2 = 14^2 + 10^2[/tex]

x = √296

2) [tex]x^2 = 18^2 - 16^2[/tex]

x = √68

3) Tan 45 = x/2√10

x = 1 * 2√10

x = 2√10

4) Cos 30 = x/14√3

x = 14√3 * √3/2

x = 21

5) Sin 60 = x/30

x = 30 * √3/2

x = 15√3

6) Cos 45 = x/28

x = 28 * √2/2

x = 14√2

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The solution of the equation using Cramer's rule is x = -3, and y = 2.

The solution of the equation using Cramer's rule is calculated as follows;

x + 2y = 1

-3x - 2y = 5

Find the determinant of the matrix;

[1     2]

[-3   -2]

Δ = -2 - (-6) = 4

Find the x determinant;

[1      2]

[5     -2]

Δx = -2 - 10 = -12

Find the y determinant;

[1      1]

[-3   5]

Δy = 5 - (-3) = 8

The value of x = Δx/Δ  = -12/4 = -3

The value of y = Δy/Δ  = 8/4 = 2

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Answer:

Q6.  x = 8.1 ***

Q7   x = 27.87

***For question 6:  Your picture of question 6 is so blurred I could not really make out the angle; I took it as 36° . If it is something else, use the formula given below with the correct angle and compute **

Step-by-step explanation:

In right triangle, with one of the angles = θ , the following relationships hold

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\\\\\sin\theta = \dfrac{opposite}{hypotenuse}\\\\\tan\theta = \dfrac{opposite}{adjacent}\\[/tex]

where

adjacent means side adjacent to θ
opposite means side opposite to θ

In the given figure in Q6,

θ = 36°  (I had difficulty making out the picture)

adjacent = x

hypotenuse = 10

so

[tex]\cos 36^\circ = \dfrac{x}{10}\\\\x = 10 \cdot \cos 36^\circ\\\\x = 10 \cdot 0.809\\\\x = 809\\\\\text{x = 8.1 rounded to the nearest tenth}[/tex]

I have answered question 7 also since it is very similar:

[tex]\sin 35^\circ = \dfrac{16}{x}\\\\x = \dfrac{16}{\sin 35^\circ}\\\\\\= \dfrac{16}{0.574}\\\\\\= 27.8745\\\\= 27.87 \text{ to the nearest hundredth\\}[/tex]

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

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Area of the figure is 402.8 ft².

We have,

Rectangle area = Length x Width

Area of sector = π r² x angle / 360

Now,

There are two rectangles and one sector.

So,

Area of one rectangle.

= 8 x 2

= 16 ft²

Area of another rectangle.

= 5 x 2

= 10 ft²

Area of the sector.

= π x r² x {360 - (150 + 90 + 90)}

= 3.14 x 2² x 30

= 376.8 ft²

Now,

The area of the figure.

= 16 + 10 + 376.8

= 402.8 ft²

Thus,

The area of the figure is 402.8 ft².

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The probabilities are given as follows:

a) x is less than 60: 0.9495 = 94.95%.

b) x is greater than 16: 0.9909 = 99.09%.

c) x is between 16 and 60: 0.9404 = 94.04%.

d) x is greater than 60: 0.0505 = 5.05%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 42, \sigma = 11[/tex]

The probability of a value less than 60 is the p-value of Z when X = 60, hence:

Z = (60 - 42)/11

Z = 1.64

Z = 1.64 has a p-value of 0.9495.

Hence the probability of a value greater than 60 is of:

1 - 0.9495 = 0.0505 = 5.05%.

The probability of a value greater than 16 is one subtracted by the p-value of Z when X = 16, hence:

Z = (16 - 42)/11

Z = -2.36

Z = -2.36 has a p-value of 0.0091.

1 - 0.0091 = 0.9909 = 99.09%.

The probability of a value between 16 and 60 is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 16, hence:

0.9495 - 0.0091 = 0.9404 = 94.04%.

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Answer:

$27.69

Step-by-step explanation:

39 - (39)(0.29) = 39 - 11.31 = 27.69

Answer:

x < 6

Step-by-step explanation:

3x < 18 ( divide both sides by 3 )

x < 6

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

please see explanation and attachment

Step-by-step explanation:

√16 = 4.

√14 = ?

how do we get from 16 to 14? we subtract 2. r = remainder. denominator is twice √16, ie 8.

so we have 4 r -2 r 8

= 4 r -1 r 4

= 3 r 3 r 4

= 3.75

= 3.8 to nearest tenth

The correct statement regarding the transformations to [tex]f(x) = 10^x[/tex] to create [tex]g(x) = 3(10)^x - 2[/tex] is given as follows:

A vertical dilation by a factor of 3 and a vertical shift down 2 units

The parent function for this problem is given as follows:

[tex]f(x) = 10^x[/tex]

The transformed function for this problem is given as follows:

[tex]g(x) = 3(10)^x - 2[/tex]

Hence the transformations are given as follows:

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The graph could be the graph of exponential function of option b)

[tex]F(x) = 2 • (0.5)^{x} [/tex]

The general form of an exponential function is

[tex]f(x) = {ab}^{x} [/tex]

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

[tex]f(x) = 2(b)^{x} [/tex]

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

The mass of the frying pan in grams is 52 grams.

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilogram in one hundred (100) grams. This ultimately implies that, a proportion or ratio for the conversion of 0.52 kilogram to grams would be written as follows;

Conversion:

1 kilogram = 100 grams

0.52 kilogram = x grams

By cross-multiplying, we have the following:

x = 0.52 × 100

x = 52 grams.

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Complete Question:

The mass of Stewart's favorite frying pan is 0.52 kilograms. What is the mass of the frying pan in grams?

Answer:

To determine which bank is more cost-effective, we need to consider how many transactions we will make per month. Let's call the number of transactions "t".

Bank A charges a flat fee of $45 per month, regardless of how many transactions we make. So the total cost of using Bank A for one month is:

Total cost for Bank A = $45

Bank B charges a monthly fee of $20, plus $0.70 for each transaction. So the total cost of using Bank B for one month is:

Total cost for Bank B = $20 + ($0.70 x t)

To determine which bank is more cost-effective, we need to find the value of "t" that makes the total cost of Bank B equal to the total cost of Bank A.

$45 = $20 + ($0.70 x t)

$25 = $0.70 x t

t = $25 / $0.70

t ≈ 36

So if we make 36 or more transactions per month, Bank A is more cost-effective. If we make fewer than 36 transactions per month, Bank B is more cost-effective.

The division expressions to the quotients and remainders are

Expression (a)

The expression is given as

(x² - x - 30) ÷ (x - 6)

The synthetic set up is

6 |   1  -1  30

   |__________

Bring down the first coefficient, which is 1 and repeat the process

6 |   1  -1  30

   |___6_-30_____

      1   -5   0

This means that

Quotient = x - 5 with no remainder

Expression (b)

The expression is given as

(x³ - 2x² - 7x - 4) ÷ (x² + 2x + 1)

Using a graphing tool, we have

(x³ - 2x² - 7x - 4) ÷ (x² + 2x + 1) = x - 4 with no remainder

This means that

(x³ + 2x² - 1) ÷ (x² - x + 1) = x + 3 R 2x - 4

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The zero of f is equal to -12.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (1, -9) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-9) = 3(x - 1)

y = 3x - 12

When x = 0, the y-value is given by;

f(0) = 3(0) - 12

f(0) = -12

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