This question is designed to be answered without a calculator. Use the antiderivative formula shown, where f(u) represents a function. Integral of (l n u) d u = u ln u – f(u) + C Which function represents f(u)?

Answer: sun

Step-by-step explanation:

cause I said

Given:

The functions are:

[tex]f(x)=x+7[/tex]

[tex]g(x)=x^2-3[/tex]

To find:

The values f(g(4)), g(f(5)) and f(f(1)).

Solution:

We have,

[tex]f(x)=x+7[/tex]

[tex]g(x)=x^2-3[/tex]

(i) We need to find the value of f(g(4)).

[tex]f(g(4))=f((4)^2-3)[/tex]

[tex]f(g(4))=f(16-3)[/tex]

[tex]f(g(4))=f(13)[/tex]

[tex]f(g(4))=13+7[/tex]

[tex]f(g(4))=20[/tex]

Therefore, the value of f(g(4)) is 20.

(ii) We need to find the value of g(f(5)).

[tex]g(f(5))=g(5+7)[/tex]

[tex]g(f(5))=g(12)[/tex]

[tex]g(f(5))=(12)^2-3[/tex]

[tex]g(f(5))=144-3[/tex]

[tex]g(f(5))=141[/tex]

Therefore, the value of g(f(5)) is 141.

(iii) We need to find the value of f(f(1)).

[tex]f(f(1))=f(1+7)[/tex]

[tex]f(f(1))=f(8)[/tex]

[tex]f(f(1))=8+7[/tex]

[tex]f(f(1))=15[/tex]

Therefore, the value of f(f(1)) is 15.

Answer:

Blank 1; AB

Blank 2; AC

Blank 3; BC

Step-by-step explanation:

Mathematically, the greater the angle that faces a side of a triangle, the bigger the side length of the triangle

so what this mean is that, bigger side lengths faces bigger angles

From the list of angles we have, the side that faces vertex C is the biggest

We have this as;

AB faces C and that is the biggest

the next is the side that faces angle B; we have the length as AC

the least faces angle A ; we have the length as BC

C

Directrix: y= -13/2

...

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

Answer:

16 square miles

Step-by-step explanation:

Hope this helped <3

Answer:

4.987 in

Step-by-step explanation:

Volume of a cube=  (where x= side)

x³

we know that

124=x³

∛124=x

x=4.986630952 which rounds to

4.987

Answer: a≈4.99in

Step-by-step explanation:

Using the formula

V=a³

Solving for a

a=V <To Power> ⅓ =   124⅓ ≈ 4.98663in

The powers in this problem are expressed as follows:

1. 4^n x 4^5 = 4^(n + 5).

2. 3^8 x 3^n = 3^(8 + n).

3. 2^(2n)/2^n = 2^n

4. 2^(3n)/2^(2n) = 2^n

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents to find the product.

In the context of this problem, this is what we use for items 1 and 2, as follows:

1. 4^n x 4^5 = 4^(n + 5). -> Base 4, exponents n and 5, n + 5 = n + 5.

2. 3^8 x 3^n = 3^(8 + n). -> Base 3, exponents 8 and n, 8 + n = 8 + n.

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents to find the quotient.

In the context of this problem, this is what we use for items 3 and 4, as follows:

3. 2^(2n)/2^n = 2^n -> Base 2, exponents 2n and n, 2n - n = n.

4. 2^(3n)/2^(2n) = 2^n -> Base 2, exponents 3n and 2n, 3n - 2n = n.

More can be learned about exponential rules at https://brainly.com/question/11761858

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Answer:

10

Step-by-step explanation:

The answer is because:

a^2 + b^2 = c^2

8^2 + 6^2 = x^2

64 + 36 = x^2

100 = x^2

√100 = √x^2

10 = x

Answer:

Hmm, want piña colada and Jar Jar Binks cookies? just go to India.

Answer:

See below directions.

Step-by-step explanation:

The condition [tex]-2\pi<\theta<2\pi[/tex] means you can get to the point by rotating no more than one revolution in either the positive or negative direction.

See the attached image to see the point [tex]\left(3,\,-\frac{3\pi}{4}\right)[/tex].  Think about how you get to that point:  start at the origin, go right (along the positive x-axis) 3 units, then turn in the negative direction (to your right!) through an angle of [tex]\frac{3\pi}{4}[/tex].

Now, go again, starting at the origin, only this time, go 3 units right, then turn through an angle of [tex]-\frac{3\pi}{4}+2\pi=\frac{5\pi}{4}[/tex].  In other words, you turn one whole revolution in addition to the [tex]-\frac{3\pi}{4}[/tex] angle.  Your point can now be described by [tex]\left(3,\,\frac{5\pi}{4}\right)[/tex].

Another description can be found by rotating in the opposite direction, so an angle of [tex]\frac{3\pi}{4}[/tex] and backing up 3 units -- specify a "radius" of -3.  The point is then [tex]\left(-3,\,\frac{3\pi}{4}\right)[/tex].

You can also try subtracting one revolution [tex](2\pi)[/tex] from the angle, but be careful not to let the angle go outside the interval  [tex]-2\pi<\theta<2\pi[/tex].

The changes you can try are:  

add [tex]2\pi[/tex] to the angle, leave r alone

subtract [tex]2\pi[/tex] to the angle, leave r alone

add/subtract [tex]\pi[/tex] (half a revolution) to the angle, make r the opposite.

Answer:

x= (-2)

Step-by-step explanation:

brainliest?

Answer:

$18

Step-by-step explanation:

Answer:

12 cm

Step-by-step explanation:

2x4=8

3x4=12

Thats why

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

Answer: x=25

Step-by-step explanation: equation comes out to

4x+80=180

4x=100

x=25

Answer:

x=25

Step-by-step explanation:

x+30+x+40+2x+10=180

Add the X up together and the other number which will be

4x+80=180

subtract 80 from both sides

4x=100

divide 4 from both sides

x=25

Answer:

B

Step-by-step explanation:

A GCF would mean you can divide both terms by that number. For A it would be ac, C would have c, and D would be b, so the only one which cannot be divided by anything except 1 is B.

Answer: there is no picture for this question

Step-by-step explanation:

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

Answer:

Step-by-step explanation:

Solve for one variable and substitute the value in to another equation.

Answer:

I think the answer is 3.47

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Answer:

4

Step-by-step explanation:

420km

Answer:

the answer is D

Step-by-step explanation:

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

To learn more about the profit refer to the link;

https://brainly.com/question/15036999

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Answer:

4

Step-by-step explanation:

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation: