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kakasveta [241]
2 years ago
15

having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)

Mathematics
1 answer:
pochemuha2 years ago
7 0

Answer: D) 101

Step-by-step explanation:

By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?

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Answer:

B- 24 pints

Step-by-step explanation:

128 x 3= 384 ounces

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4 0
3 years ago
The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

3 0
1 year ago
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount
Maurinko [17]

Answer:

f(x)= 9,974.73  (1.05)x

7 0
3 years ago
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Use the given qualitative data to construct the relative frequency distribution.
ikadub [295]

Answer:

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

Step-by-step explanation:

  • The relative frequency is the proportion of the number of times the event occurs to the total number of trials.

Given : Total people on ship = 2274

Number of male ​survivors = 394

⇒ Relative Frequency of male ​survivors =\dfrac{394}{2274}

In percent , \dfrac{394}{2274}\times100\approx17.3\%

Number of males who​ died =1449

⇒ Relative Frequency of male ​who​ died =\dfrac{1449}{2274}

In percent , \dfrac{1449}{2274}\times100\approx63.7\%

Number of female​ survivors =344

⇒ Relative Frequency of female​ survivors =\dfrac{344}{2274}

In percent , \dfrac{344}{2274}\times100\approx15.1\%

Number of females who died = 87

⇒ Relative Frequency of females who died =\dfrac{87}{2274}

In percent , \dfrac{87}{2274}\times100\approx3.8\%

Hence, the complete table would be :

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

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Ostrovityanka [42]

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

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6 0
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