Which expression is equivalent to the given expression?

6y - 12

The radius of the cylinder is 1.49.

What is a cylinder?

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the cylinder.

Volume of the cylinder can be found with the help of the formula

 V = πr²h, where V is the volume of the cylinder, r is the radius and h is the height.

Given,

volume of cylinder = 28

Height of the cylinder = 8

Formula of volume of cylinder is

π[tex]r^{2} h[/tex]= 28

Substitute the values

3.14([tex]r^{2}[/tex])(4)= 28

[tex]r^{2}[/tex] = 28/12.56

[tex]r^{2}[/tex] = 2.22

r = [tex]\sqrt{2.22}[/tex]

r = 1.49

Hence, the radius is given by 1.49 in.

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Answer:

p=-1.25

Step-by-step explanation:

first, we do the absolute value so we get 7x5p+7=-21

now we subtract 7 on each side so now it is 7x5p=-28

now we multiply the 7 and 5p so no it is 35p=-28

now we divide both sides by 35 now the answer is p=-1.25

Answer:

h=8

Step-by-step explanation:

there is a formula for a volume of a prism

Volume = length • width • height

for shortening purposes

V = L • W • H

we know the prism's length is 4, and it's width is 2 and we know it's volume is 64 but the height is missing

what we will do is say (since height is missing)

[tex]h = \frac{V}{l \: • \: w} [/tex]

v = 64

l = 4

w = 2

so, now plug in those values for your variables

[tex]h = \frac{64}{4 \: • \: 2} [/tex]

multiply 4 • 2

[tex]h = \frac{64}{8} [/tex]

divide by 8

[tex]h = \frac{8}{1} [/tex]

simplify

[tex]h = 8[/tex]

V = l•w•h

v= 4 • 2 • 8

v = 8• 8

v = 64

hope this helped happy learning

The factors of the quadratic function represented by the graph is (x+1) and (x+5)

A quadratic Function is an Algebraic equation in which the highest degree of the variable is 2.

Quadratic functions when plotted on graphs appear as curves and which cuts through the X-axis of the graph.

From the graph, the roots of the function are x = -1 and x = -5,

If x = -1 is a root then taking -1 to the left x+1 = 0

Also if x = -5, then X+5 = 0

so since x+5 = 0 or x +1 = 0

Then (x+5)(x+1) = 0 is the required function.

Therefore (x+5)(x+1) are factors of the Quadratic function

In conclusion, the Factors of the Quadratic functions are (x+1)(x+5)

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line that has a slope of 2 and it passes thourhg (4 , 6)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 2}(x-\stackrel{x_1}{4}) \\\\\\ y-6=2x-8\implies {\Large \begin{array}{llll} y=2x-2 \end{array}}[/tex]

Answer:

84% of the cupcakes were chocolate- flavored.

Step-by-step explanation:

[tex] \frac{252}{300} = \frac{84}{100} = 84\%[/tex]

Answer:

c=3*6

Step-by-step explanation:

c=3 boxes * 6 cupcakes per box

Using the properties of percentage we get that the shirt cost  $0.25 more in Fresno than in Bakersfield.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.

Price of the shirt is Fresno

= 35 + 8.225% of 35

= 37.87875

≈ 37.88 dollars

Price of the shirt in Bakersfield

= 35 + 7.5% of 35

= 35 + 2.625

= 37.625

≈ 37.63 dollars

Difference in price after adding the sales tax percentage

= 37.88-37.63

= 0.25 dollars

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The linear functions would be given as follows:

a) Parallel: y = x + 3.

b) Perpendicular: y = -x - 1.

The equations have different slope and intercept.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

For item a, we consider that if two lines are parallel, they have the same slope, hence the line would also have a slope of 1, that is:

y = x + b.

From point (-2,1), we have that when x = -2, y = 1, hence we can solve and find the intercept b as follows:

1 = -2 + b

b = 3.

Hence:

y = x + 3.

For item b, we consider that if two lines are perpendicular, the multiplication of their slopes is of -1, hence:

m = -1.

Then:

y = -x + b.

From the point (-2,1), we can find b as we did above, hence:

1 = -(-2) + b

2 + b = 1

b = -1.

Hence the rule is:

y = -x - 1.

The equations have different slope and intercept, that is, their coefficients are different.

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Answer:

I think your answer is A.

Step-by-step explanation:

10=x  15=y

The amount spent is $220

so

10x +15y = 220

Answer:

A

Step-by-step explanation:

i took this test

Answer: B) x ≤ 4.5

Step-by-step explanation:

Closed circles either mean “less than or equal to” or “greater than or equal to,” which would be marked as either

≤ or ≥. Since the number line includes values that are less than 4.5, the ≤ symbol would have to be used.

Answer: least to greatest:

-26, -1.3, 0, 2.6, 6.5, 12

Step-by-step explanation:

We can start by putting the negative numbers last (-26, -1.3) the greater a negative number is the smaller it actually is! so -26 would be the least followed by -1.3

0 would be after because well it's zero. then we can go least to greatest, 2.6, 6.5, 12.

Answer:

(5v+4y+6)

Step-by-step explanation:

You have to distribute/multiply the negative sign (-) to all the values inside.

-(-5v-4y+6)=

-(-5v)=5v (-×- = +)

-(-4y)= 4y  (-×- = +)

-(6)= -6  (-×+ = -)

The answer is:

(5v+4y+6)

The given inequality is expressed as

10(3x + 2) > 7(2x - 4)

The first step is to open the brackets on each side of the inequality by multiplying the terms outside the bracket by the terms inside. Thus, we have

10 * 3x + 10 * 2 > 7 * 2x - 7 * 4

30x + 20 > 14x - 28

Collecting like terms, we have

30x - 14x > - 28 - 20

16x > - 48

Dividing both sides by 16, it becomes

16x/16 > - 48/16

x > - 3

Answer:

[tex]a) n =\dfrac{c}{d}\\\\\\b) b= 2A -a\\\\c) m_1=\dfrac{Fr^2}{Gm_2}[/tex]

d) z = 10

Step-by-step explanation:

   a)

         [tex]\sf d = \dfrac{c}{n}\\\\\text{Mulitply the entire equation by 'n',}\\\\n*d=n*\dfrac{c}{n}\\\\nd =c\\\\\text{Now, divide the entire equation by 'd',}\\\\n =\dfrac{c}{d}[/tex]

b)

            [tex]\sf A = \dfrac{a+b}{2}\\\\\text{Multiply the entire equation by 2,}\\\\2*A = 2*\dfrac{a+b}{2}\\\\2A = a+b\\\\\text{Now subtract 'a' from both sides,}\\\\2A - a = b\\\\\boxed{b=2A - a}[/tex]

c)

               [tex]\sf F =\dfrac{Gm_1m_2}{r^2}[/tex]

               Multiply the entire equation by r²,

             [tex]\sf Fr^2=r^2*\dfrac{Gm_1m_2}{r^3}\\\\Fr^2=Gm_1m_2[/tex]

             Divide the entire equation by Gm₂,

            [tex]\sf \dfrac{Fr^2}{Gm_2}=m_1\\\\\boxed{m_1=\dfrac{Fr^2}{Gm_2}}[/tex]

D) A = 7 ; y =4

Substitute in the equation and find the other number.

          [tex]\sf A = \dfrac{1}{2}(y+z)\\\\7=\dfrac{1}{2}(4+z)\\\\Multiply \ both \ sides \ by 2,\\\\7*2 = 4 +z[/tex]

             14 = 4 + z

Subtract 4 from both sides,

        14 - 4 = z

               z = 10

The trigonometric functions sin θ = - 2 / 3 and csc θ = - 3 / 2 are related to each other in accordance with the trigonometric formula: sin θ · csc θ = 1. (Correct choices: 1, 4)

In this question we must look for two trigonometric functions that are associated to one and same angle. This can be done by relations between fundamental and derivate trigonometric functions. There are two fundamental trigonometric functions (sine, cosine) and four derivate trigonometric functions (tangent, cotangent, secant, cosecant).

After a quick inspection, sin θ = - 2 / 3 is related to csc θ = - 3 / 2 as it fulfill the following trigonometric formula: sin θ · csc θ = 1

The graph is missing and cannot be found, so we decided to change the intend of the question to find two trigonometric functions associated with the same angle.

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The volume of the rectangular prism is 27 inch³.

Given that,

We are going to find the volume of the given rectangular figures in the picture.

The volume of a three-dimensional figure is the amount of rectangular units required to completely fill the interior space.

Volume of the rectangular prism is length×width×height.

Volume of a cube is (side length)³.

If we take each cube from a figure u will get the side length as 1 inches.

So, The 1 cube volume is S³

=1³=1 inch³

Now, we take each cube row's.

Each row as 9 cubes

We get the volume as 9 inch³.

Then there are 3 rows in the diagram.

=9+9+9

=27 inch³

Therefore, The volume of the rectangular prism is 27 inch³.

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The two equations to set up to solve the absolute value equation given are; 3x - 2 = 19 and 3x - 2 = -19.

The solution of the inequality given; -2|2x+3| + 14 ≥ - 16 is; x ≥ 6 OR x ≤ -9.

It follows from absolute value equations that;

| x | = ±x

Hence, | x | = x OR | x | = -x

Ultimately, the two equations to set up are; 3x - 2 = 19 and 3x - 2 = -19.

2. Also, the equation given; -2|2x+3| + 14≥ - 16 can be solved as follows;

-2|2x+3| ≥ - 16 - 14

-2|2x+3| ≥ - 30

|2x+3| ≥ 15

Hence, the equation can be solved as;

2x + 3 ≥ 15 OR 2x + 3 ≤ -15

2x ≥ 12 OR 2x ≤ -18

x ≥ 6 OR x ≤ -9.

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The circumference of the circle is 62.8 feet.

In geometry, the circumference of a circle or ellipse is referred to as its perimeter (from the Latin circumference, meaning "carrying around").

The diameter of the circle = 20 ft

radius (r) = 20 ÷ 2 = 10 ft

Circumference = 2πr = 2 × 3.14 × 10 = 62.8 feet.

For the second problem

The circumference is 17 feet

∴2πr=17

or, 2r = 17 ÷ 3.14 = 5.414... ≈5.41 feet

Hence the diameter is 5.41

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The correct option about Naomi is that dhe used the commutative and associative properties correctly but got an incorrect answer.

It should be noted that the commutative property states that that order of mathematical operations don't matter. The associative property illustrates that the grouping of numbers such that:

(a + b) + c = a + (b + c)

The steps given are:

Add: 358+(216+238)

Step 1 =358+(238+216)

Step 2 =(358+238)+216

Step 3 =6+216

Step 4 =816

You can see that the step 3 is incorrect as well as the final answer. In this case, (358+238)+216 will be 812.

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Reflection across the x axis involve negating the value of the y axis but the value of the x axis remain the same. Reflection across the y axis negate the x coordinates but the y values remains the same. When you reflect across the line y=x the coordinate and the y coordinates change places. Whe it rotate 180 degree around the origin the x and y values are negated. The transformation is interpreted as follows.

The answer is C which is reflection across the y axis followed by a 180 degree rotation around the origin.

The logic here is that PQRS is first reflected across the x axis which makes the y values negative. Then it reflect across the y axis which makes the value of x negative. So both x and y values are negative at this point. The rotation of 180 degree around the origin negates both the x and y values to make it all positive like the initial values of PQRS.

Answer:

9:7:14

Step-by-step explanation:

where I got my answer

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A compound inequality is created by joining two or more inequalities together using or or and (also known as a combined inequality). For a value to be the answer to an or inequality, it simply needs to make one part of the inequality true. To be effective, a solution to an inequality must make both sides true. Examples are x3 or x>2.

A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

The values that belong to both graphs—where the graphs overlap—are found by first examining the graphs of each individual inequality in order to obtain the answer to a "and" compound inequality. We graph each inequality for the compound inequality x>3 and x2. Next, we search for areas where the graphs "overlap."

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Answer:

Step-by-step explanation:

Equationi

2x+1 + 2y+1 = 12    The  +1 guarantees that the number is odd. 2x makes any integer even.

Givens

L = 2x + 1

W = 2y + 1

The problem is that you do not have a second equation. So you can just choose.

2x + 1 + 2y + 1 = 12              Combine the left

2x + 2y + 2 = 12                  Subtract 2 from both sides

2x + 2y + 2 - 2 = 12 - 2

2x + 2y = 10

x = 3

y = 2

======

x = 2

y = 3

======

L= 3*2 + 1

w = 2*2 + 1

L = 7

w = 5

I don't think there is another solution. The negatives cannot be used because a length or width cannot be (say)

x = - 5

y = 11

Can you measure something that is - 5 units long? Not in this lifetime.

Answer:

B) at a distance of 4 tick marks above 0

Step-by-step explanation:

The dot represents the number on the line, R, and the opposite of -4 is positive 4, which is 4 tick marks above 0.

Answer: 3 1/3

Step-by-step explanation:

-7 - (-3 2/3)

-7 = -6 -3/3

-6 -(-3) = -3

-3/3 -(-2/3) = -1/3

-3 + (-1/3) = -3 1/3

|-3 1/3| = 3 1/3

The distance between the two numbers is 3 1/3