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2 years ago

Divide 30 in the ratio of 2 : 4

1 answer:

8 0

60 because 2:4 is 1/2, and when you divide by a fraction, you multiply by the reciprocal (2/1 instead of 1/2) which would be 60 in this case.

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

PLEASE HELP I need the answer for this ASAP pleaseeeee

True [87]

Answer:

Step-by-step explanation:

$f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13$

Hope this helps..

3 0

3 years ago

PLS PLS HELP I need help rlly bad

inn [45]

Answer:

229?

Step-by-step explanation:

7 0

2 years ago

Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard ro

almond37 [142]

Answer:

Step-by-step explanation:

A) There are 850 total teens and 32% like rock.

32% of 850 = 0.32*850 = 272 teens like rock

B) 75% of teens = 150 teens. Make total teens = x. 75%x = 150

0.75x = 150

x = 200 teens like pop

C) well...

There are 50 students who bike to school every day and there are 200 students who walk to school every day. According to this information, the number of students who walk to school is 300% more than those who bike to school.

<em>*I hope the last one is what you were looking for... if not, tell me in comments*</em>

6 0

2 years ago

Please help me if you know it

tino4ka555 [31]

Answer:

c is right answer bro ok ....

3 0

2 years ago