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mr Goodwill [35]
2 years ago
14

Help!! I spent hours trying to figure this out!! Answer was incorrect. And it has to be written in equation or fraction format.

No decimals.
Here’s my work:
Using a substitution
u = 4 * x^(-2)
du = -8 * x^(-3) * dx
(-1/8) * du = x^(-3) * dx
Now I have:
e^(4x^(-2)) * dx / x^3 =>
e^(u) * (-1/8) * du
Integrate
(-1/8) * e^(u) + C =>
(-1/8) * e^(4x^(-2)) + C
From 4 to 6
(-1/8) * e^(4 * 6^(-2)) + (1/8) * e^(4 * 4^(-2)) =>
(1/8) * (e^(4/16) - e^(4/36)) =>
(1/8) * (e^(1/4) - e^(1/9))

Mathematics
1 answer:
zysi [14]2 years ago
8 0

Answer:

its correct my friend gg i ttok half an hour to do it

Step-by-step explanation:

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b. If the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank
d1i1m1o1n [39]

Step-by-step explanation:

if the tank is filled with a cap on field to capacity how many half gallons of bottles are filled it will be about well first you have to think how much is half a gallon and it's a half of a gallon is 2 quarts how big is the tank that's what you want to know if you want to fill it up cuz I haven't gotten this 2 quarts tell me how big is the tank

5 0
3 years ago
Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%
Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

<em>Let x = the total number of seedlings</em>

<em />15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580

Hence, three boys plant 580 seedlings altogether.

7 0
2 years ago
According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the populati
Ghella [55]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: number of daily text messages a high school girl sends.

This variable has a population standard deviation of 20 text messages.

A sample of 50 high school girls is taken.

The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:

X[bar]≈N(μ;δ²/n)

This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:

Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)

a.

P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836

b.

P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)

P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328

I hope you have a SUPER day!

3 0
2 years ago
California's highest point, Mt. Whitney, stands 14,505 ft. above sea level. California's lowest point, Death Valley, is 282 ft.
Ainat [17]

Answer:

Difference is 14,787 ft

Step-by-step explanation:

Mt. Whitney = 14,505 ft above sea level

sea level = 0 ft

Death Valley = below sea leve

14505 - (-282) = 14787 ft

4 0
2 years ago
A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams what percentage of the metal in coi
Citrus2011 [14]
3.75/5 = .75
.75 X 100 = 75
75% is the answer
7 0
3 years ago
Read 2 more answers
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