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3 years ago

Write a five digit number with an8 that is 10 times the value of the 8 in 48,324

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer:

80,000

Step-by-step explanation:

The 8 in the expression = 8,000

If we multiply 8,000 by 10 it would give us 80,000

easy :)

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Please help me with this math question!

MatroZZZ [7]

Harry's trainer recommends Harry drink
8*(8 oz) = 64 oz
of water per day.

A pint is 16 oz, so this amounts to
(64 oz)*(1 pt)/(16 oz) = 4 pt
of water per day.

By drinking 3 full bottles of water, Harry drank
3*(1 1/4 pt) = 3 3/4 pt
of water.

This amount of water (3 3/4 pt) is less than the 4 pt recommended by the trainer. Harry's claim that he drank the full amount is not true.

6 0

4 years ago

Use calculus to find the absolute maximum and minimum values of the function. (round all answers to three decimal places.) f(x)

Allisa [31]

Part A:

Given the function $f(x)=x+2\cos(x)$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow1-2\sin{x}=0 \\ \\ \Rightarrow2\sin{x}=1 \\ \\ \Rightarrow\sin{x}= \frac{1}{2} \\ \\ \Rightarrow x=\sin^{-1}{\frac{1}{2}}= \frac{\pi}{6}$

Using the second derivative test,

$f''(x)=-2cosx \\ \\ \Rightarrow f''\left( \frac{\pi}{6} \right)=-2\cos{\left( \frac{\pi}{6} \right)}=-1.732$

Since the second derivative gives a negative number, the given function has a maximum point at $x=\frac{\pi}{6}$ .

And the maximum point is given by:

$f\left( \frac{\pi}{6} \right)=\frac{\pi}{6}+2\cos\left( \frac{\pi}{6} \right) \\ \\ =0.5236+2(0.8660)=0.5236+1.732 \\ \\ =\bold{2.256}$

i.e. $\left(\frac{\pi}{6},\ 2.256\right)$

Part B:

Given the function $f(x)=e^{-x}-e^{-2x}$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow-e^{-x}+2e^{-2x}=0 \\ \\ \Rightarrow2e^{-2x}=e^{-x} \\ \\ \Rightarrow2e^{-x}=1 \\ \\ \Rightarrow e^{-x}=\frac{1}{2} \\ \\ \Rightarrow-x=\ln \frac{1}{2}=-0.6931 \\ \\ \Rightarrow x=0.6931$

Using the second derivative test,

$f''(x)=e^{-x}-4e^{-2x} \\ \\ \Rightarrow f''(0.6931)=e^{-0.6931}-4e^{-2(0.6931)} \\ \\ =0.5-4e^{-1.386}=0.5-4(0.25)=0.5-1 \\ \\ =-0.5$

Since the second derivative gives a negative number, the given function has a maximum point at $x=0.6931$ .

And the maximum point is given by:

$f(0.6931)=e^{-0.6931}-e^{-2(0.6931)} \\ \\ =0.5-e^{-1.386}=0.5-0.25=\bold{0.25}$

i.e. (0.693, 0.25)

3 0

3 years ago

a 44 miles walk has 3 checkpoints. the first one is 13 1/8 miles from the starting point . the 2nd is 20 1/4 miles from the firs

lesya692 [45]

Answer:

.,,

Step-by-step explanation:

...

3 0

3 years ago

I need help plssss :)

Anestetic [448]

Answer is B ……………..zz

6 0

3 years ago

The total amount of fence around a rectangular play area must be at least 90 feet, but no more than 120 feet. If the length of t

sergejj [24]

The perimeter of a triangle has the formula 2l + 2w. Since the length is twice as long as the width, l = 2w. We use this equations to two possible perimeters, 90 and 120 feet.

P = 90 feet
90 = 2(2w) + 2w
90 = 6w
w = 15 feet

P = 120 feet
120 = 2(2w) + 2w
120 = 6w
w = 20

Thus, the range of w is from 15 to 20 feet. The answer is <span>15 ≤ w ≤ 20</span>

6 0

3 years ago

Write a five digit number with an8 that is 10 times the value of the 8 in 48,324​

Write a five digit number with an8 that is 10 times the value of the 8 in 48,324