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3 years ago

2 of 6

Mathematics

1 answer:

Elodia [21]3 years ago

8 0

Answer:

89:120

Step-by-step explanation:

convert the both times to minutes

2 hours is 120 mins

89:120

both divisible by 1

89:120

it cant be simplified further

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Can someone help me

algol13

Answer:

Step-by-step explanation:

A would be your answer.

3 0

3 years ago

Read 2 more answers

A pool in the shape of a rectangular prism has a width of 8 1/2 feet (ft), a length of 12ft, and a depth of 8 ft

frozen [14]

V=lwh, where V is volume, l is length, w is width, and h is height. Plug in and solve:

V=12(8.5)8

V=816

C) 816ft3

Hope this helps!!

7 0

3 years ago

Seperate 90 into two parts so that one part is four times the other

aalyn [17]

Answer:

18 and 72

Step-by-step explanation:

the smaller part can be assigned as x while the larger will be 4x. Both numbers need to add up to 90, giving the equation: 4x+x = 90

Solve:

4x+x = 90

5x = 90

x = 18

4x = 72

5 0

2 years ago

Based on a survey, assume that 32% of consumers are comfortable having drones deliver their purchases. Suppose that we want to

Nikolay [14]

Answer:

n = 6

x = 3

p = 0.32

q = 0.68

Step-by-step explanation:

Given:

32% are comfortable having drones deliver their purchases.

Suppose we are to find the probability that when 6 consumers are randomly selected, exactly 3 of them are comfortable with delivery by drones.

Required:

Find n, x, p, and q.

i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.

Thus, n = 6

ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.

Thus, x = 3

iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.

Thus, p = 0.32

iv) q represents probability of failure. To find probability of failure, use the formula:

1 - p

Thus,

1 - 0.32 = 0.68

q = 0.68

3 0

3 years ago

Let g be the function given by g(x) = the integral from 0 to x sin(t^2) for -1 < or equal to x < or equal to 3. Find the i

grin007 [14]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2841990

_______________

• According to what is given,

$\mathsf{g(x)=\displaystyle\int_0^x sin(t^2)\,dt\qquad\qquad(-1\le x\le 3)}$

• Now, differentiate g by using the Fundamental Theorem of Calculus:

$\mathsf{\displaystyle g'(x)=\frac{d}{dx}\int_0^x sin(t^2)\,dt}\\\\\\
\mathsf{\displaystyle g'(x)=sin(x^2)}$

<span>• </span>g is increasing in the interval where g'(x) is positive. So now, just solve this inequality:

$\mathsf{g'(x)\ \textgreater \ 0}\\\\
\mathsf{sin(x^2)\ \textgreater \ 0}$

• The sine function is positive for angles that lie either in the first or the second quadrant. So,

$\mathsf{0\ \textless \ x^2\ \textless \ \pi}$

• The inequality above involves only non-negative terms. So, the sign of the inequality keeps the same for the square root of those terms:

$\mathsf{0\ \textless \ x\ \textless \ \sqrt{\pi}\qquad\quad(i)}$

• Checking the intersection between the interval we just found above and the domain of g:

Notice that

$-1\le 0\ \textless \ x\ \textless \ \sqrt{\pi}\le 3$

which implies that

$\mathsf{\left]0,\,\sqrt{\pi}\right[\subset [1,\,3]}\\\\
\mathsf{\left]0,\,\sqrt{\pi}\right[\subset Dom(g)}.$

Therefore,

g is increasing on the interval $\mathsf{\left]0,\,\sqrt{\pi}\right[.}$

I hope this helps. =)

Tags: <em>derivative fundamental theorem of calculus increasing interval differential integral calculus</em>

8 0

3 years ago