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kotykmax [81]
3 years ago
10

MU

Mathematics
1 answer:
Zina [86]3 years ago
4 0

h(x)=16--4

= 20

positive and negative= negative

negative and negative = positive

Answer:b

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An engine that’s being tested is coupled to a dynamometer that has a radius arm of 1.70 feet. The test data shows a speed of 5,0
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The brake horsepower of an engine that’s being tested is coupled to a dynamometer that has a radius arm of 1.70 feet is letter D. 170.
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Represent real-world situations a rectangular piece of sheet metal is rolled and riveted to form a circular tube that is open at
Citrus2011 [14]
<span>12.3 Volume function: v(x) = ((18-x)(x-1)^2)/(4pi) Since the perimeter of the piece of sheet metal is 36, the height of the tube created will be 36/2 - x = 18-x. The volume of the tube will be the area of the cross section multiplied by the height. The area of the cross section will be pi r^2 and r will be (x-1)/(2pi). So the volume of the tube is v(x) = (18-x)pi((x-1)/(2pi))^2 v(x) = (18-x)pi((x-1)^2/(4pi^2)) v(x) = ((18-x)(x-1)^2)/(4pi) The maximum volume will happen when the value of the first derivative is zero. So calculate the first derivative: v'(x) = (x-1)(3x - 37) / (4pi) Convert to quadratic equation. (3x^2 - 40x + 37)/(4pi) = 0 3/(4pi)x^2 - (10/pi)x + 37/(4pi) = 0 Now calculate the roots using the quadratic formula with a = 3/(4pi), b = -10/pi, and c = 37/(4pi) The roots occur at x = 1 and x = 12 1/3. There are the points where the slope of the volume equation is zero. The root of 1 happens just as the volume of the tube is 0. So the root of 12 1/3 is the value you want where the volume of the tube is maximized. So the answer to the nearest tenth is 12.3</span>
3 0
3 years ago
What is the radius of the base of the cone in the figure below?
liubo4ka [24]

Answer:  approximately 12.17 units

==========================================================

Work Shown:

We'll use the tangent ratio to find r

tan(angle) = opposite/adjacent

tan(49) = 14/r

r*tan(49) = 14

r = 14/tan(49)

r = 12.1700143294271

r = 12.17

The radius is approximately 12.17 units long.

7 0
3 years ago
Solve this steps not needed
777dan777 [17]

Hi!

When you add a negative number, you really just subtract it. So let's solve this.

Convert the mixed numbers into improper fractions.

\frac{434}{9} - \frac{351}{9}

Solve

434 - 351 = 83

\frac{83}{9}

The sign of this fraction is positive

Hope this helps! :)

-Peredhel

4 0
3 years ago
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Solve for t. You must write your answer in fully simplified form.<br> -19 = 7t
a_sh-v [17]

Answer:

-2.71

Step-by-step explanation:

6 0
3 years ago
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