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Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

If vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.

Recall:

If two angles are said to be vertical when both angles are directly opposite each other and are also congruent or equal in measure.

Vertical angles share a common vertex or point but do not share a common side.

Adjacent angles share a vertex and a common side.

Thus, if vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.

Learn more here:

https://brainly.com/question/16303608

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.

Answer: 1.5

Step-by-step explanation: you just have to divide 3÷2 and you will get 1.5

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

Answer:

7(x+4)-6(x+3)=x+5

or , 7x + 28 - ( 6x + 18 ) = x + 5

or , 7x + 28 - 6x - 18 = x + 5

or , x + 10 = x + 5  

The equation is incorrect !!

Answer:

$378

Step-by-step explanation:

(9000 x 0.70%) * 6 = 378

Answer:

25 pictures will take up 75 Megabytes of space.

Step-by-step explanation:

Given that:

Number of pictures downloaded = 64

Space taken by pictures = 192 MBs

Unit rate = [tex]\frac{192}{64}[/tex]

Unit rate = 3 Megabytes per picture

Now,

The space 25 pictures would take,

25 pictures = 3*25

25 pictures = 75 Megabytes

Hence,

25 pictures will take up 75 Megabytes of space.

Answer:

[tex]f^{-1} (x) = x - 3[/tex]

Step-by-step explanation:

Answer:

x is greater than -4

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

Answer:

The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.Step-by-step explanation:

Answer:

if it is 2$ per pound then 2 time how much you are bying.

Step-by-step explanation:

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Answer:

Both A and B

Step-by-step explanation:

sum of opposite interior angles is equal to the exterior angle.

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

answer: 5b

the exponents basically cancel themselves out. :)

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

Step-by-step explanation:

(2$+1.5&)+0.9$X=20$

3.5$+0.9$X=20$

0.9$x=20$-3.5$

x=16.5$/.9$

x=18.333

so he can travel 18.333miles.

first we need to add the two separated cause of 1.5 Dollar in $2 tip which give us 3.5 dollar that is to be subtracted from the $20 you have. then the money that is left in your pocket is 16.5 dollar s this will be deducted 0.9 for every mile so dividing 16.5 by 0.9 gives 18.333.

Answer:

4

Step-by-step explanation:

-x + 5 = 1

-x = 1 - 5

-x = -4

x = 4

Answer:

840lbs because that's how much

Answer:

880 pounds

Step-by-step explanation:

400 x 2.2 = 880

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

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

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

Answer:

$2,472 ; 38.40 ; $3816

Step-by-step explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816

Answer:

YO BIG MAMMA

Step-by-step explanation:

You just yell to your mom and say YO BIG MAMMA and TADA she loves you

Answer:

im confused as you are

Step-by-step explanation:

look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?

Answer:

Answer is 10

Step-by-step explanation:

Attatchment

Answer: $40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!