What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)

The right answer is 280

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

84 is 30% of 280

Step-by-step explanation:

Write and solve this equation:  84 = 0.30n, where n is the unknown number.

Then n = 84 / 0.30 = 280

84 is 30% of 280

Answer:

Step-by-step explanation:

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.

Answer:

2a + 3c = 29

Step-by-step explanation:

2a + 3c =

= 2×4 + 3×7

= 8 + 21

= 29

Answer:

2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."

The answer is B.

Answer:

B

Step-by-step explanation:

Answer:

23 m

Step-by-step explanation:

Given that triple the area = 1587 m² , then

area = 1587 ÷ 3 = 529 m²

The area of a square = s² ( s is the measure of the side ), thus

s² = 529 ( take the square root of both sides )

s = [tex]\sqrt{529}[/tex] = 23 m

Answer:

Convert from radians to degrees using the ratio  180/π.   answer is 130°

Step-by-step explanation:

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

Gift-Wrapping Fundraiser

Plain Gifts Wrapped    Decorative Gifts Wrapped   Total Raised in dollars

10                                  9                                             47

25                                 12                                            86

16                                  12                                            68

Let's define:

x: $ charged per gift for Plain Gifts Wrapped

y:  $ charged per gift for Decorative Gifts Wrapped  

From 2nd 3rd row:

25x + 12y = 86

16x + 12y = 68

Subtracting them:

25x + 12y - (16x + 12y) = 86 - 68

9x =  18

x = 18/9 = 2

Replacing x = 2 into the first equation:

25(2) + 12y = 86

12y = 86 - 50

12y = 36

y = 36/12 = 3

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

B on edg

Answer:

[tex]f(x) = x + 3[/tex]

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]

[tex]m = \frac{0 + 2}{-3 + 5}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]

We have

[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]

[tex]1 = \frac{y+2}{x+5}[/tex]

Multiply both sides by x + 5

[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]

[tex]x + 5 = y + 2[/tex]

Subtract 2 from both sides

[tex]x + 5 - 2 = y + 2 - 2[/tex]

[tex]x + 3 = y[/tex]

[tex]y = x + 3[/tex]

Replace y with f(x)

[tex]f(x) = x + 3[/tex]

Hence, from the list of given options; Option B is correct

Answer: B. f(x) = x + 3

Step-by-step explanation:

Answer:

1. 324

2. 610

3. 72

4. 97

5. 20

6. 28

7. 195

Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

f(x)=5x

g(x)=3x+3

(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15

(fog)(0)=15(0)+15=15

Answer:

15

Step-by-step explanation:

First find g(0) =

g(0) = 3*0 +3

g(0) =3

Then put this into f(x)

f(g(0) ) = f(3) = 5*3 = 15

Answer: B

Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.

Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.

However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.

Answer:

B. If none of the input values are repeated, the relation is a function.

Step-by-step explanation:

Just took test on edge 2020

Answer: f(n) = 4n + 97 (or 97 + 4n)

Step-by-step explanation:

Distribute 4 and (n-1)

f(n) = 93 + 4n - 4

Add 93 and 4

f(n) = 97 + 4n

Answer:

The answer is 93 & 4

Step-by-step explanation:

I got it right on khan. Btw I don't know if someone said this already bc I am sooo tired bc it's 1 am :(

Answer:

28

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

sorry idk if that made sense or not

Answer:

y=4

Step-by-step explanation:

A horizontal line has constant y values so it is of the form

y=

The point is (2,4) so the y value is 4

y=4

Answer:

B

Step-by-step explanation:

(5+7)/2 = 6

(4+2)/2 = 3

center = (6, 3)

diameter = √(5-7)²+(4-2)² = √8 = 2√2

radius is half diameter = √2

Equation for circle is (x-6)²+(y-3)²=2

Answer:

a. the number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.

Answer:

A) The number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

In the right triangle PNO:

By definition:

cos(β) = adjacent/hypotenuse

Replacing with data and solving for NO:

cos(∠O) = NO/PO

2/5 = NO/100

NO = (2/5)*100

NO = 40

HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)

1. A: 2

2. C: 225

3. C: pi/4

4. A: -465

5. C: 0

6. B: 210

7. B: 2pi

8. A: 52

9. C: 40

10. C: 3rd graph

11. A: y=sin pi/265

12. B: 1/4pi

13. D: y=3cos2

14. A: sqrt3/3

15. C: 0

16. C: 3rd graph

17. A: 187

18. C: sqrt2/2

19. B: 1+sin theta

20. D: 45

21. D: 0.64

22. A:80

23. C: pi/2, 5pi/4, 3pi/2, 7pi/4

24. C: csc theta =13/12, sec theta= 13/5

hope this helps someone :)))

Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

Answer:

a arithmetic; -23

Step-by-step explanation:

this is not geometric sequence as we don't  see multiplication effect in the terms

let's see what is the difference in terms

-207- (-184)= -23

-230- (-207)= -23

-253- (-230)= -23

we can state it is an AP with common difference of  -23

option a. is correct

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

Answer: The answer is B: (0,-3)

Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!

y = 0-3

y=-3

( i hope this helped <3 )

Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

The space occupied by a flat shape or the surface of an object is called area.

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

Find out more information about volume and area here:

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Answer: 2/5

Step-by-step explanation:

10 + 4 + 6 +5 = 25

10/25  

simplify:  2/5

Answer:

The final answer is [tex]\frac{8}{27}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

-Simplify [tex]2^{2}[/tex] :

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]3^{-1}[/tex] :

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]4^{-1}[/tex] :

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]\frac{1}{3}^{-1}[/tex] :

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

-Then, on the denominator,  simplify [tex]2^{-3}[/tex] :

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

Simplify [tex]3^{4}[/tex] :

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 81[/tex]

Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:

[tex]3 \over \frac{1}{8} \times 81[/tex]

[tex]3 \over \frac{81}{8}[/tex]

Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :

[tex]3 \over \frac{81}{8}[/tex]

[tex]3 \times (\frac{81}{8})[/tex]

-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:

[tex]3 \times (\frac{81}{8})[/tex]

[tex]\frac{8}{27}[/tex]

So, the final answer would be [tex]\frac{8}{27}[/tex] .

Answer:

C. Divide both sides by 26

Step-by-step explanation:

A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

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