Find the volume of the given solid. Leave your answer in terms of pi

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

The volume of hemisphere  is 1,41,130.7 cubic inch.

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

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Answer:

-2

Step-by-step explanation:

There’s a decrease over 7hrs 7•-2= -14

12-14=-2

Answer:

-2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3

Answer: 0

Step-by-step explanation:

Using the Trigonometric values table or unit circle, calculate the expression.

Answer:

The answer is D.) 0

Step-by-step explanation:

JUST THE QUEST

Answer:

3rd one

Step-by-step explanation:

The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.

Answer:

1468 in^3

Step-by-step explanation:

you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.

big container: 10 x 10 x 15 = 1500

small container: 2 x 4 x 4 = 32

1500 - 32 = 1468

Answer:

9

Step-by-step explanation:

2n+4=22

2n=18

n=9

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

Answer:

A=16 & B=2

Second part is B

Step-by-step explanation:

;)

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

________________________________

Hey!!!

Solution,

U=4

V=-5

Now,

T=2U+4V

=2*4+4*(-5)

=8+(-20)

=8-20

=-12

So the value of T is -12.

hope it helps

Good luck on your assignment

_____________________________

Answer:

Step-by-step explanation:

f(0)=2-3=-1 so the point (0,-1) must be on the graph

f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph

Then, the correct answer is the second graph

The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.

We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.

To solve the given question, we will plot a graph of the function

f(x) = |x + 2|– 3 and then compare the graphs with it.

Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3

Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0

or, |x+2| = 0

or, x + 2 = 0

or, x = -2.

We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.

g(-1) = |-1+2| = 1

g(-3) = |-3+2| = 1

Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)

h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.

∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.

The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.

Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.

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Answer:

Step-by-step explanation:

(2y²)³=2³×y^6=8y^6

=8×y×y×y×y×y×y

Answer:IDK

Step-by-step explanation:

Ummm I don’t think so

Answer:

Step-by-step explanation:

45 - 25 = 20

65 - 45 = 20

as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)

so ,we are in an arithmetic sequence case with :

Let’s label the sequence: Un

then

Un = U1 + (n-1)×r

    = 25 + (n-1)×20

    = 20n + 5

for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205

Answer:

Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .

Step-by-step explanation:

Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.

Operations on polynomials can sometimes be open, like in division.

Operations on integers can produce irrational results , for example, dividing 11 by 9.

81 m+27 t

[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]

hope it helps..

Good luck on your assignment...

Answer:

1. 2

2. 1

Step-by-step explanation:

All work is attached!

please mark brainliest!

Answer: 10 hours and 25 minutes.

Step-by-step explanation:

Multiply 25, 10, and 2 to find volume. Volume is 500 metres.

1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.

500,000/ 800= 625 minutes.

625 minutes = 10 hours and 25 minutes

It take 10 hours and 25 minutes to fill the swimming pool.

The volume of a cuboid is given by the formula:

Volume = Length × Width × Depth

              = 25 m × 10 m × 2 m

              = 500 m³

Now, convert the rate of filling from liters per minute to cubic meters per minute:

1 m³ = 1000 liters

So, 800 liters per minute = 800/1000

                                           = 0.8 m³ per minute

Next, the time it will take to fill the pool:

Time (in minutes) = Volume / Rate of filling

                             = 500 m³ / 0.8 m³ per minute

                              = 625 minutes

Now, 1 hour = 60 minutes

625 minutes = 625 / 60

                     = 10 hours and 25 minutes

So, it take 10 hours and 25 minutes to fill the swimming pool.

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Answer: the answer is B

Step-by-step explanation:

i just did it

Answer:

b

Step-by-step explanation:

on edge

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

Answer:

5(x + y) + 6(x − y)   =   11x − y

(5x − 3y) − x + 3x − 5y  =  7x − 8y

x − 4x + 6y + (14x − 5y)  =  11x + y

3x + 3y + 2(2x − y)  =  7x + y

and there is no match for 4(x + y) − 3(x + y)

Step-by-step explanation:

hope this helps :)

Answer:

y = (7/4)x - 3/4

Step-by-step explanation:

I'll assume that two points taken from your table are (-3, -6) and (1, 1).

As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise").  Thus the slope of the line connecting these two points is m = rise / run = 7/4.

Let's begin with the familiar y = mx + b.  Substituting 1 for x and 1 for y and 7/4 for m, we get:

1 = (7/4)(1) + b, or 1 - 7/4 = b, or  b = -3/4.

Then the desired equation, in slope-intercept form, is

y = (7/4)x - 3/4

Answer:

20

Step-by-step explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

[tex]4x-23=2x+17[/tex]

[tex]4x-23+23=2x+17+23[/tex]

[tex]4x=2x+40[/tex]

[tex]4x-2x=2x+40-2x[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2}=\frac{40}{2}[/tex]

[tex]x=20[/tex]

Answer:

x^1/8 y^8

Step-by-step explanation:

To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.

This is illustrated below:

(x^1/4 y^16)^1/2

(x^1/4)^1/2 • (y^16)^1/2

x^1/4×1/2 • y^16×1/2

x^1/8 y^8

Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.

Answer:

26.442 litre

Step-by-step explanation:

total beverage sold= 117*226

= 26442ml

in litres= 26442/1000

= 26.442

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

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Answer:

The correct answer is

b.(1,6]

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in