You bought a new water glass. The glass is cone-shaped and has a circular base. It has a
diameter of 3 inches and a height of 7.5 inches. What is the volume of the glass? Use 3.14 to
approximate pi. Round your answer to the nearest tenth.

Answer:

Step-by-step explanation:

bc²-2a/b=6(3)²-2×12/6=54-4=50

The amount of sales is 7500$

Answer:

3 or 1/3 depending on going from small to large, or from large to small

Step-by-step explanation:

the same scale factor applies to all sides of the transformed shape.

when going from small to large, every unit of side length turns into 3 units.

when going from large to small, every 3 units of side length turn into 1 unit.

Answer:

y = 2x -8

Step-by-step explanation:

The slope intercept form for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x -8

Step-by-step explanation:

practical range = 8

vertical line test = 5

range = 3

domain = 2

relation = 1

function = 4

function Notation =6

practical domain=7

Answer:

n>- 5/14

Step-by-step explanat

Answer:

a

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}[/tex]

Hope this helps.

The base of the parallelogram formed from the circle is half the circumference or πr .

A circumference is the length of the circle which is the perimeter of the circle.

The circumference of the circle can be given by the formula C = 2πr , where r is the radius of the circle.

If a circle is divided into equal sectors then the approximate size of the polygon formed by rearranging the sectors is a parallelogram.

The base of the parallelogram will be half of the circumference , or

base = 0.5 × 2 πr = πr

And the height will be the radius r of the circle.

Now area of a parallelogram is given by  base × height

Now area = πr × r = πr²

Therefore the area of the circle is πr² .

Hence the base of the parallelogram formed from the circle is half the circumference or πr .

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its A f(x) =8x+6

Put the value of x in each f(x)

for instance: put the -½ in third f(x) you will have f(x)= -2,but the first f(x) =2

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

Answer:

[tex]Ratio = 2 : 15[/tex]

Step-by-step explanation:

Given

[tex]k = 2 : 15[/tex] --- scale factor

Required [missing from the question]:

The ratio of width of the model to the original

From the question, we understand that the scale factor is: 2 : 15

The ratio of the width of the model to the original equals the given scale factor i.e.

[tex]Ratio = 2 : 15[/tex]

Answer:

14 books my good sir

Step-by-step explanation:

Answer:

set c is the answer

Step-by-step explanation:

for a pair to be a function it can't have 2 different numbers for the same x value

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here f(x) is shifted 4 units to the right , so

g(x) = | x - 4 |

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted 6 units up , so

g(x) = | x - 4 | + 6 → B

The simplified equation for the new function is g(x) = |x - 4| + 6.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The absolute value parent function is f(x) = |x|.

To shift 4 units to the right, we replace x with (x - 4) since we want the graph to move 4 units to the right.

To shift 6 units up, we add 6 to the entire function since we want the graph to move 6 units up.

So the equation of the new function g(x) is:

g(x) = |x - 4| + 6

Thus,

The simplified equation for the new function is g(x) = |x - 4| + 6.

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Answer:

d) Acute

Step-by-step explanation:

if all three angle measures are less than 90 degrees, the triangle is acute

Answer:

32 is the value

Step-by-step explanation:

Answer:

Step-by-step explanation:

c i think

Answer:

Each angle is 60 degrees

Step-by-step explanation:

The sides of the triangle are equal, which means the angles are equal. Since the sum of the interior angles of a triangle are 180 degrees, each angle is 180/3 = 60 degrees.

Answer:

41 1/7

Step-by-step explanation:

5 1/7 x 8

Convert 5 1/7 to improper fraction

5 1/7 = 36/7

Multiply.

36  x  8

----      --

7   x    1

288/7

Simplify.

41 1/7

---

hope it helps

Answer:

1

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

Complete question:

A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.

Calculate  the angle subtended at the centre by the minor arc after 1 second.

Answer:

the angle subtended at the centre by the minor arc is 30⁰

Step-by-step explanation:

Given;

radius of the wheel, r = 10 cm = 0.1 m

angular speed of the when, ω = 5 rev/min

duration of the motion, t = 1 second

Determine the angular speed in radian per second,

[tex]\omega = 5\ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \ \times \frac{1 \min}{60 \ s} = \frac{10\pi \ rad}{60 \ s} = \frac{\pi }{6} rad/s[/tex]

After 1 second, the angular distance turned by the wheel is calculated as;

[tex]\theta = \omega t\\\\\theta = \frac{\pi \ rad} {6 \ s} \times 1 \ s\\\\\theta = \frac{\pi } {6 } \ rad\\\\in \ degrees; \theta = \frac{\pi \ rad}{6} \times \frac{180^0}{\pi \ rad} = \frac{180^0}{6} = 30^0[/tex]

Therefore, the angle subtended at the centre by the minor arc is 30⁰

Answer:

11. x = 6

12. x = 7

Step-by-step explanation:

11.

16x - 6 = 90

16x = 96

x = 6

12.

12x - 4 = 10x + 10

2x = 14

x = 7

Answer:

c=6

Step-by-step explanation:

7c+11=53

you subtract 11 from both sides giving you

7c=42

then divide both sides by 7

c=6

Answer:

[tex]f'(y) = -9e^{-9y}[/tex]

Step-by-step explanation:

The given function is :

[tex]f(y) = 8 + e^{-9y}[/tex]

We need to find the value of f'(y).

[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]

[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]

So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].

Answer:

88km is your answer

Step-by-step explanation:

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