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AVprozaik [17]
3 years ago
7

PLS HELP FAST!

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer: 4(x) + 7= 64 lbs

Step-by-step explanation:

Scenario 1: 4(x) + 7= 64 lbs

Scenario 2:  4(x) + 7= 64 lbs

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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
seropon [69]

Answer:

h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

3) To test it, just integrate:

\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C

5 0
3 years ago
In a zoo, there are 5 times as many monkeys as there are bears, and the number of bears is 2 fewer than the number of elephants.
HACTEHA [7]

m = 5b

b = e - 2

e = 6


first, solve for the number of bears by replacing e with 6.

b = 6 - 2

b = 4


now do the same for the monkeys.

m = 5b

m = 5(4)

m = 20


check the answer if you wish. the zoo has 20 monkeys.

8 0
4 years ago
What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms
Nesterboy [21]

Given expression:

  • 0.8 - 0.6

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   \implies \dfrac{[10(0.8) - 10(0.6)]}{10}

   \implies \dfrac{[8 - 6]}{10}

   \implies \dfrac{[2]}{10} = \dfrac{2}{10}

When 2/10 is simplified in lowest terms, we get;

   \implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}

Therefore, 0.8 - 0.6 in fraction form is 1/5.

4 0
2 years ago
(1/5)/(2/3)=(1/4)/m what is m?
Natalka [10]

Answer:

Fraction: 5/6

Decimal: 0.83.....

Step-by-step explanation: I may be wrong, but I gave it my best shot!

3 0
2 years ago
Read 2 more answers
Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.
Andre45 [30]

Answer:

JK = 2

Step-by-step explanation:

Given:

JK = 2x

IJ = 5x

IK = x + 6

Required

Solve for JK.

Since J is on IK, we have:

IK = IJ + JK

x + 6 = 5x + 2x

x + 6 = 7x

Collect Like Terms

7x - x = 6

6x = 6

Solve for x

x = 6/6

x = 1

Substitute 1 for x in JK = 2x

JK = 2 * 1

JK = 2

8 0
4 years ago
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