need help on the question

If

[tex]\displaystyle g(x) = \int_0^x f(t) \, dt[/tex]

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

[tex]\displaystyle g(0) = \int_0^0 f(t) \, dt = 0[/tex]

since the integral of any function over a single point is zero;

[tex]\displaystyle g(4) = \int_0^4 f(t) \, dt = 8[/tex]

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

[tex]\displaystyle g(8) = \int_0^8 f(t) \, dt = 0[/tex]

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

[tex]\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8[/tex]

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

[tex]\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0[/tex]

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

[tex]\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24[/tex]

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

[tex]\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64[/tex]

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

Answer:

surface area is 2(lb + bh + lh)

I think this is the right formula

Answer:

Total surface  area = 62 cm^2.

Step-by-step explanation:

There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.

There are 2 faces each of area 10, = 20 cm^2.

There are 2 faces each of area 15, = 30 cm^2.

12 + 20 + 30 = 62 cm^2.

Answer:

8

Step-by-step explanation:

cus...

Answer:

10.65

Step-by-step explanation:

just divide 5 [because there are five people] with $53.25 [the amount of money]

then the answer will be 10.25

thank you

hope it was helpful

Answer:

No. It is not greater than 3/8

Step-by-step explanation:

3/8 x 100

=> 300/8

=> 37.5

=> 26% < 37.5%

Therefore, 26% is not greater than 3/8 or 37.5

Hoped this helped.

to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so

[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]

Answer:

Step-by-step explanation:

Each camera has 320 pictures.

If 1/4 of pictures deleted, remaining number is:

Total number of pictures is:

Correct choice is C

Answer:

the one in the middle. if you have a serie of numbers like 2, 5, 9, 7, 12, 23, 46 then 7 is the median because it's in the middle (after putting them in an increasing order of course)

Answer:

5 1/15 lb

Step-by-step explanation:

Equation:

5.35 = 1.55 + 0.75x       [tex]\longmapsto\\[/tex]       Subtract 1.55 from both sides

3.8 = 0.75x            [tex]\longmapsto[/tex]         Divide both sides by 0.75

5 1/15 lb

-Chetan K

Answer:

100011

Step-by-step explanation:

Answer:

The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

Answer:

0.0077

Step-by-step explanation:

Answer: the answer is in the attachment.

Answer:

Hope this helps :)

Step-by-step explanation:

Answer:

Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast;  Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life

Step-by-step explanation:

14x4,5÷100=0,63

14+0,63=14,63

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

:)

Answer:

C

Step-by-step explanation:

For Triangles to be similar, there have to be a corresponding length and angle

Answer:1-1/3

2-16 in.

3-10.49

4-1/10

Step-by-step explanation:

i hope this helps

Answer:

I = $650

A = $23,580

Step-by-step explanation:

First question

I = ?, P = $1000, R= 5%, T = 13

[tex]I = \frac{P*R*T}{100}=\frac{1000*5*13}{100}= 650[/tex]

Therefore, interest = $650

Second...

P = $15, 000, R = 5.2%, T = 11, I = ? A= ?

[tex]I = \frac{P*R*T}{100}=\frac{15000*5.2*11}{100}= 8580[/tex]

To find A, we add the principal with the interest

A = P + I = $15,000 + $8580 = $23,580

Answer:

21

Step-by-step explanation:

5(7-4)*2/3+11

5*3*2/3+11

15*2/3+11

30/3+11

10+11

21

Answer:

21

Step-by-step explanation:

Subtract 4 from 7

5 ⋅ 3 ⋅ 2 ÷ 3 + 11

Multiply 5 by 3.

15 ⋅ 2 ÷ 3 + 11

Multiply 15 by 2.

30 ÷ 3 + 11

Divide 30 by 3.

10 + 11

Add 10 and 11.

21

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

Using a calculator, we find that:

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581

Answer:

(0,5)

Step-by-step explanation:

A positive number is a number higher than 0. The x-coordinate is the first number, and the y coordinate is the second number. Plug in any random positive y coordinate to get your point.

(x,y)

(0,1)

(0,2)

(0,3)

Answer:

1/32

Step-by-step explanation:

Answer:

28,000 milligrams is your answer