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romanna [79]
3 years ago
15

The average rate of change of f(t) from t=2 to t=6 is

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
4 is the correct answer
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Florencia cannot spend more than $60 on clothes. She wants to buy jeans for $22 and spend the rest on shirts. Each shirt costs $
Amiraneli [1.4K]

Answer:

(8s + 22) ≤ 60

Step-by-step explanation:

Let the number of shirts Florencia bought = s

Cost of one shirt = $8

Therefore, total cost of the 's' shirts= $8s

She bought a jeans for $22 and rest amount she spent on shirts.

Total expenditure = $(8s + 22)

Since, she can not exceed her expenditure beyond $60.

So the inequality will be,

(8s + 22) ≤ 60

7 0
3 years ago
Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x(l
Pepsi [2]

I'm assuming the integral is

\displaystyle \int \frac{dx}{x (\ln(x^2))^5}

We have

\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5

Then substituting y=\ln|x| and dy=\frac{dx}x, the integral transforms and reduces to

\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C

which we can rewrite as

128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4

and so

\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}

7 0
1 year ago
To prove that DEF congruent DGF by SAS,what additional information is needed
lisabon 2012 [21]

Answer:

∠DFE ≅ ∠DFG

Step-by-step explanation:

we know that

Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles

In this problem we have that

The pair of corresponding sides that are equal are

EF=GF  and DF (is the same side for both triangles)

The included angle are ∠DFE and ∠DFG

therefore

The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal

so

∠DFE ≅ ∠DFG

8 0
3 years ago
Read 2 more answers
If 5x+6=10, what is the value of 10x+3?<br><br> A) 4<br> B) 9<br> C) 11<br> D) 20
den301095 [7]
I think that the answer is C.11
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7 0
3 years ago
Read 2 more answers
Supplementary angles measure _____ degrees?​
Oliga [24]

my answer

90°to 180°degrees

4 0
3 years ago
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