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3 years ago

12

If f(x) = (5x^3 - 4)^4, then what is f '(x)?

1 answer:

vlabodo [156]3 years ago

4 0

You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:

4*(5x^3-4)^3 * 3*5x^2 =

60x^2 (5x^3-4)^3

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Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is sel

likoan [24]

Answer:

Step-by-step explanation:

Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random

the probability

(a) The student is enrolled in mathematics= $\frac{110}{450} =0.244\\$

(b) The student is enrolled in English.= $\frac{205}{450} =0.456\\$

(c) The student is enrolled in both.= $\frac{50}{450} =0.111\\$

(d) The student is enrolled in mathematics or English.= $\frac{110+205-50}{450} =0.589\\$

(e) The student is enrolled in English but not in mathematics.

= $\frac{205-50}{450} =0.344\\$

(f) The student is not enrolled in English or is enrolled in mathematics.

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3 years ago

Joseph went to the mall with five ten dollar bills into $5 bills he bought a toy for $27 which equation can we do is to find the

MatroZZZ [7]

5x10-27=$23
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3 years ago

. Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).

devlian [24]

Answer:

Area of the regular dodecagon inscribed in a circle will be 27 square units.

Step-by-step explanation:

A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.

Since angle formed at the center by a polygon = $\frac{360}{n}$

Therefore, angle at the center of a dodecagon = $\frac{360}{12}$ = 30°

Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units

Now area of a small triangle = $\frac{1}{2}.(a).(b).sin\theta$

where a and b are the sides of the triangle and θ is the angle between them.

Now area of the small triangle = $\frac{1}{2}.(3).(3).sin30$

= $\frac{9}{4}$

Area of dodecagon = 12×area of the small triangle

= 12× $\frac{9}{4}$

= 27 unit²

Therefore, area of the regular octagon is 27 square unit.

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2 years ago

The ratio of men to women working for a company is 5 to 6. If there are 156 women working for the company, what is the total num

denis-greek [22]

130 men + 156 women = 286 total

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3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!! :)

Rudiy27

Hello from MrBillDoesMath!

Answer: Two solutions

Discussion:

Based on the graph provided the curves intersect at two point

Thank you,

MrB

6 0

3 years ago