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elena-s [515]
3 years ago
5

i am aware that this question uses second ftc, however, i keep getting the wrong answer. any guidance is appreciated.

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

C. 14

Step-by-step explanation:

F(x) = ∫₀²ˣ √(t³−15) dt

Use second fundamental theorem of calculus:

F'(x) = √((2x)³−15) d/dx (2x)

F'(x) = 2 √(8x³−15)

Evaluate at x=2:

F'(2) = 2 √(8×2³−15)

F'(2) = 2 √(64−15)

F'(2) = 2 √49

F'(2) = 14

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1/2×-7=1/3(×-12) solve​
alexgriva [62]

Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

(1/3*x-6)/2 = 0 // * 2

1/3*x-6 = 0

1/3*x-6 = 0 // + 6

1/3*x = 6 // : 1/3

x = 6/1/3

x = 18

8 0
3 years ago
The lifespan of a guinea pig is 8 years shorter than the lifespan of a puma. Write a subtraction equation that you could use to
KiRa [710]

Answer: p-8

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7 0
2 years ago
What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?
Semenov [28]

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

7 0
3 years ago
Find cos(a) in the triangle.
kakasveta [241]
What triangle? you need to show the triangle
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3 years ago
Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
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