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vova2212 [387]
3 years ago
6

In which of the following units is acceleration expressed? A. Newtons B. Kilograms C. Foot-pounds D. Meters per second squared

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Answer:

D. Meters per second

Step-by-step explanation:

here's  why the answer is D even though they arent the best explanations but none the less the answer is still right.

1. Newton = force

2.kilo = mass

3. foot-pound = force

4. Meters Per sec = speed/acceleration

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A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen
Darina [25.2K]

Answer:

100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving y=x^2 about y axis in the interval 0\leq x\leq 3.

Density of the fluid in the tank, D=100\ lbs/ft^3

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, y(0)=0^2=0

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in x=3 in the parabolic equation . This gives,

H=3^2=9\ ft

So, the height of top of tank is, y(3)=H=9\ ft

Now, 5 ft above 'H' means H+5=9+5=14

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

\Delta y=(14-y) ft

Now, area of cross section of the tank is given as:

A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, y=x^2

So, x=\sqrt y

Therefore, radius, r=\sqrt y

Now, area of cross section is, A(y)=\pi (\sqrt y)^2

Work done in pumping the contents to 5 feet above is given as:

W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy

Plug in all the values. This gives,

W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}

7 0
3 years ago
6x-12=2x-6 <br><br> Also,how do you check your answer?
taurus [48]
6x-12 = 2x-6

get like terms on the same side by adding/subtracting.

6x - 12 = 2x - 6
+ 12, -2x on both sides

6x - 2x = -6 + 12

4x = 6

divide all by 4

x = 1.5

to check your answer, plug in 1.5 for x and see if they are equal to one another.

6(1.5) - 12 = -3
2(1.5) - 6 = -3
7 0
3 years ago
What mixed number between is 1 and 1 1/2?
EastWind [94]
1 1/4

Pretty easy. For me at least.

6 0
3 years ago
Read 2 more answers
Pleas evelp im scared i fail
igomit [66]

Answer:

z=4

y=6

q=13

a=36

r=21

m=15

Step-by-step explanation:

hopefully this helps :)

5 0
3 years ago
A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, s
WITCHER [35]

Answer:

51 salted pretzels were sold.

Step-by-step explanation:

<u>Step 1: Write the data</u>

Number of Ice cream cones sold: x

Cost of ice cream cones sold: 3x

Number of Salted pretzels sold: y

Cost of salted pretzels sold: 2.5y

Number of tacos sold: z

Cost of tacos sold: 2z

<u>Step 1: Make equation 1</u>

Total money made: $359.5

Money made from tacos: $70

Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5

<em>Equation 1:</em>

3x + 2.5y = 289.5

<u>Step 3: Make equation 2</u>

Cost per tacos: $2

Total number of tacos sold: z

Money made from total tacos: $70

2z = 70

z = 35 tacos were sold

Total number of ice cream cones and salted pretzels sold: 140-35 = 105

<em>Equation 2: </em>

x + y = 105

<u>Step 4: Find the unknown value by substitution</u>

3x + 2.5y = 289.5

x + y = 105

<em>Find x in terms of y from equation 2</em>

x + y = 105

x = 105 - y

<em>Substitute x in equation 1</em>

3x + 2.5y = 289.5

3(105-y) + 2.5y = 289.5

315 - 3y + 2.5y = 289.5

0.5y = 25.5

y = 51

y represents the number of salted pretzels sold. Therefore, 51 salted pretzels were sold.

4 0
3 years ago
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