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inn [45]
3 years ago
15

Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly

as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Way: W = k * w  * h^2/ L

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David kicks a ball off the ground. After t seconds, it’s height, h (in feet), is given by the formula h=-16t^2+80t. How many sec
tamaranim1 [39]

Answer:

<em>The ball reaches its maximum height at 2.5 seconds</em>

<em>The maximum height is 100 feet</em>

Step-by-step explanation:

<u>Maximum Value of Functions</u>

We use the derivative of a function to find its maximum or minimum value over a given interval.

Given a function y=f(x), the first derivative criterion establishes if x=a is such that:

f'(a)=0, and f''(a) < 0 then x=a is a maximum of f.

The height h in feet of a ball after t seconds is:

h(t)=-16t^2+80t

Find the first derivative:

h'(t)=-32t+80

Equate to 0:

-32t+80=0

Subtract 80:

-32t=-80

Divide by -32:

t = -80 / (-32) = 2.5

t=2.5 seconds

Find the second derivative:

h''(t)=-32

Since h''(t) is always negative, then

The ball reaches its maximum height at 2.5 seconds

To find the value of the maximum height, substitute t=2.5 into the function:

h(2.5)=-16(2.5)^2+80*2.5=-100+200 = 100

The maximum height is 100 feet

8 0
3 years ago
Which statement is true about the terms of the linear expression 13-4x in standard form?
AysviL [449]

Answer:

B) b=13

Step-by-step explanation:

13-4x is the same as -4x+13

8 0
2 years ago
Solve -8x + 4 ≤ 36<br><br>A. x ≥ -4<br><br>B. x ≤ 4<br><br>C. x ≥ 4<br><br>D. x ≤ -4
nexus9112 [7]
- 8x + 4 ≤ 36
Subtract 4 from both sides.
-8x ≤ 32
Divide both sides by -8.        When dividing by a negative number change the
 x ≥  - 4                                   inequality sign.
Letter A
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3 years ago
76 divided into 6954
zhuklara [117]
91.5 I’m pretty sure
7 0
3 years ago
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Determine the intercepts of the line.<br> 9 = 8x - 18<br> y-intercept:<br> X-intercept:
solmaris [256]

the y-intercept is 9 and the x-intercept is -18

4 0
2 years ago
Read 2 more answers
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