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V125BC [204]
3 years ago
7

Let f(x) be a continuous function such that f(1) and f'(x)-Vx3 + 6. What is the value of,f(5)? (A) 11.446 (C) 24.672 (B) 13.446

(D) 26.672 7. Let f(x) be a continuous function such that and f'lx)- (A) 11.446 (C) 24.672 6. What is the value of f(5)? (B) 13.446 (D) 26.672
Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Answer:

f(5) = 26.672 which is option D

Step-by-step explanation:

From question, f(1) = 2 and f'(x)=√(x^3 + 6)

f(5) = f(1) + (5,1)∫ f'(x) dx

Integrating using the boundary 5 and 1;

f(5) = 2 + (5,1)∫√(x^3 + 6) dx

f(5) = 2 + 24.672

So f(5) = 26.672

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Step-by-step explanation:

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3 years ago
Find the unknown side length, x. write your answer in simplest radical form.
amid [387]

Answer:

Unknown side length is 2\sqrt{119}

C is correct.

Step-by-step explanation:

We are given a right angle triangle whose two sides are 24 and 10.

As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.

It is right angle triangle. Using pythagoreous theorem find out another leg (x)

Pythagoreous theorem:

a^2+b^2=c^2

where, a=x, b=10 and c=24

x^2+10^2=24^2

x^2=576-100=476

x=\sqrt{476}

x=2\sqrt{119}

Thus, Unknown side length is 2\sqrt{119}

8 0
3 years ago
Read 2 more answers
A department store mails a customer satisfaction survey to people who make credit card purchases at the store. This month, 3521
vladimir2022 [97]

Answer:

The population is the population of 3521 people who made credit card purchases.

The sample is the 172 people who returned the survey form.

Step-by-step explanation:

Department mails customers satisfactions forms to those who make credit cards purchase at the store, totaling 3521 people. Thus, the population is the population of 3521 people who made credit card purchases.

Surveys are mailed to 278 of these people, chosen at random, and 172 people return the survey form.

Thus the sample, that is, those from whom the data will be taken and expanded to the rest of the population, is the 172 people who returned the survey form.

5 0
3 years ago
Two perpendicular lines have opposite y-intercepts. The equation of one of these lines is y = mx + b. Express the x-coordinate o
Fofino [41]

Answer:

x = -2bm/(m²+1)

Step-by-step explanation:

One line has equation

... y = mx + b

The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation

... y = (-1/m)x - b

The point of intersection is where the x- and y-values are equal, so ...

... mx + b = (-1/m)x - b

... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides

... (m²+1)x = -2bm . . . . . . . multiply by m

... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x

6 0
3 years ago
Two married couples have purchased theater tickets and are seated in a row consisting of just 4 seats. If they take their seats
Licemer1 [7]

Answer:

The answer is 0.75.

Step-by-step explanation:

To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.

So there are in total 4 scenarios where no couple is sitting next to each other.

There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.

I hope this answer helps.

7 0
3 years ago
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