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3 years ago

Round 2.85 to the nearest hunderdth

1 answer:

3 0

Answer 2.85

On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.

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(06.04 MC)

Andru [333]

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$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Before performing any calculation it's good to recall a few properties of integrals:

$\small\longrightarrow \sf{\int_{a}^b(nf(x) + m)dx = n \int^b _{a}f(x)dx + \int_{a}^bmdx}$

$\small\sf{\longrightarrow If \: a \angle c \angle b \Longrightarrow \int^{b} _a f(x)dx= \int^c _a f(x)dx+ \int^{b} _c f(x)dx }$

So we apply the first property in the first expression given by the question:

$\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}$

And we solve the second integral:

$\small\sf{\longrightarrow2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot(3 - ( - 2)) }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} 2dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot5 = 2 \int^3_{-2} f(x)dx10 = }$

Then we take the last equation and we subtract 10 from both sides:

$\sf{{\longrightarrow 2 \int ^3_{-2} f(x)dx} + 10 - 10 = 18 - 10}$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 8}$

And we divide both sides by 2:

$\small\longrightarrow \sf{\dfrac{2 { \int}^{3} _{2} }{2} = \dfrac{8}{2} }$

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx=4}$

Then we apply the second property to this integral:

$\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 4}$

Then we use the other equality in the question and we get:

$\small\sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx = 8 + 2 \int ^3_{-2} f(x)dx = 4}$

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =4}$

We substract 8 from both sides:

$\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx -8=4}$

• $\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =-4}$

7 0

2 years ago

Helppppp mathhhhhhhhhhh

vredina [299]

I would say its D, but im not 100 percent sure

7 0

3 years ago

One week 72 people got a speeding ticket in the next week only 36 people got speeding ticket what is the percent of change inspe

kotykmax [81]

Final - initial/ initial is the formula

6 0

3 years ago

Use the given facts about the functions to find the indicated limit.

oksian1 [2.3K]

Answer: Option b.

Step-by-step explanation:

1. You can rewrite it as following:

$\lim_{x\to \ -6} 2$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.

$\lim_{x\to \ -6} 2=2$

$\lim_{x\to \ -6} 1$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

$\lim_{x\to \ -6} 1=1$

2. Then:

$\lim_{x\to \ -6} (f/g)(x)=2/1=2$

3. The answer 2.

7 0

3 years ago

Read 2 more answers

Thanks guys Have funnnnnn

docker41 [41]

Answer:

The range of her scores is 26.

Step-by-step explanation:

You get the highest number and the lowest number.

99-73= 26

4 0

3 years ago