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3 years ago

For the given value of a , find - a and |a|

1 answer:

5 0

$1.\\a=10.2\\-a=-10.2\\|a|=|10.2|=10.2\\------------\\2.\\a=-14\\-a=-(-14)=14\\|a|=|-14|=14\\-------------\\3.\\a=\frac{1}{2}\\-a=-\frac{1}{2}\\|a|=|\frac{1}{2}|=\frac{1}{2}$

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The base of a rectangular tank measures 10 ft by 20 ft. The tank is 16 ft tall, and its top is 10 ft below ground level. The tan

sashaice [31]

Answer:

Step-by-step explanation:

Given a rectangular tank with dimension (10ft by 20ft by 16ft)

Then the volume of the tank is

Volume =length × breadth ×height

Volume=10×20×16=3200ft³

V=3200ft³

Then,

∆F= weight density × volume

∆F= 62.4×3200

∆F= 199,680 lb

Then,

Let the 0-point on the x-axis be at the bottom of the tank, so the level of the water ranges from x = 0 to x = 16ft. (It would just as well to let 0 be ground level and let x range from x = −26ft to x − 0.) Then a slice of water at level x is raised (26− x)ft

Then ∆x=(26-x)ft

Work is given as

W= -∫F∆xdx. From 0 to 16

W= -∫199,680(26-x)dx From 0 to 16

W=-199,680∫26-x dx From 0 to 16

W=-199,680 (26x-x²/2). From 0 to 16

W=-199,680(26×16-0.5×16² -0-0)

W=-199,680(288)

W=-57,507,840J

The work done to empty the tank is 57,507,840J

8 0

4 years ago

Read 2 more answers

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

leonid [27]

Answer:

C. F(x) = 2(x-2)²+2

Step-by-step explanation:

This graph was changed by a vertical and horizontal shift because the graph moved over and up

A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)

With this information we can determine how the graph was transformed

Looking at the graph, the origin is now at (2,2) instead of (0,0)
We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
We can also see that the graph moved up k units, indicating a vertical shift 2 units upward

Our equation for f(x) should be in the form y = a(x + h)² + k

Substituting in all our known values, we get the equation:
F(x) = 2(x-2)²+2

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3 years ago

SOMEONE PLS HELP ME WITH THIS

jolli1 [7]

Answer:

x = 11.25

Step-by-step explanation:

-6 = 0.8x - 15

Add 15 to both sides;

-6 + 15 = 0.8x - 15 + 15

9 = 0.8x

Divide both sides by 0.8;

x = 11.25

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3 years ago

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Jeremy’s house is 45 feet wide. In a photograph the width of the house was 2.5 inches, and its height was 2 inches. What is the

suter [353]

An Artist creates a scale model and of a Sculpture with a scale of 2 inches = 5 feet. If the scale model of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?

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3 years ago

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Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same

mars1129 [50]

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ $2x+3(x+1)$ --- Equation 1