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3 years ago

Use the sum and difference rule to find the derivative of y=(3x^5)+(2x^4)-(2x)

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

$y^{'} = 15x^{4} +8x^{3} -2.$

Step-by-step explanation:

$y=3x^{5} +2x^{4} -2x;\\y^{'} = ({3x^{5}^}) {'} +({2x^{4}}) {'} - ({2x}) {'}; \\y^{'} = 3*5x^{5-1} +2*4x^{4-1} -2*1x^{1-1} ;\\\\ y^{'} = 15x^{4} +8x^{3} -2.$

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A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?

Hatshy [7]

<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

Solution:

The volume of triangular prism is given as:

$v = base\ area \times height$

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

Substituting the values we get,

$428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2$

Thus the base area of triangular prism container is 42.8 cubic centimeter

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4 years ago

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

kompoz [17]

Answer: [911,∞)

Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since, Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, $S+178+S\geq2000$

$\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911$

Hence, the solution set of the inequality will be [911,∞)

4 0

3 years ago

A 1,600.00 principal earns 7% interest compounded semiannually twice per year' after 33 years what is the balance in the account

Dmitrij [34]

A=1600(1+0.07/2)^(2*33)=15,494.7

7 0

3 years ago

Order from Least to Greatest: 1/4 -0.8 0.5 -1.2

Shkiper50 [21]

Answer:

-1.2,-0.8,1/4,0.5

Step-by-step explanation:

hope this helps :D

3 0

3 years ago

Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points

elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = $\frac{1}{2}(m\angle ECD)$ [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]

Therefore, m∠EFD = $\frac{1}{2}(68)$

= 34°

Therefore, Option (1) 34° will be the answer.

7 0

3 years ago

Read 2 more answers