simplify the expression where possible. (6^3)^-3

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer: B (F-D+2=T)

Step-by-step explanation:

We know that daisies has 2 more than the tulips. (D+2 = T)

The answer is B

Flowers - Daises + 2 = T

Since daises has 2 more flowers than tulips, thats why theres a (+2)

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

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Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

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Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

Answer:

Water (cups): 14, 28, 42, 56, 70

Lemon Juice (cups): 2, 4, 6, 8, 10

Divide the number of cups of water by 7 to find the number of cups of lemon juice.

Answer:

See photo

Step-by-step explanation:

Completing the rule:

With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.

with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.

The final question:

This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.

Answer:

a(n)= 120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:120(1/2)^(n-1)

Step-by-step explanation:

60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2

a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)

Answer:

-3n-4n = 25 + 17

-7n = 42

n= -6

the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.

-15 + 15d -7.5d =7.5

15d - 7.5d = 7.5 + 15

7.5d = 22.5

d = 3

for the part where theres 7.5(2d-1)

you multiply each number inside the bracket by 7.5, its called distributivity of multiplication

hope that answers your question

hope you understand what i wrote lol

good luck:)

Answer:

Question 1

Original Equation:

-3n-4n-17=25

Add 17 to both sides (cancels out the -17)

-3n-4n=42

Combine -3n and -4n.

-7n=42

Divide by -7

n = -6

Question 2

Original Equation:

-15+7.5(2d-1)=7.5

Distribute:

-15+15d-7.5=7.5

Add 7.5 to both sides:

-15+15d=15

Add 15 to both sides:

15d=30

Divide by 15:

d = 2

Let me know if this helps!

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Answer:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)

Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]

Step-by-step explanation:

Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.

Then, the total paper waste generated over these two years in the region :-

[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]

In scientific notation,

[tex]91,800,800 = 9.18 x 10[/tex]⁷

Hence, the total paper waste generated over these two years in the region =

[tex]9.18 x 10[/tex]⁷  [tex]tons[/tex]

Answer:

C.4

4x-3=2x+5

x=4

Step-by-step explanation:

The number which is "three fewer than four times a number is five more than twice the number" is 4.

The equation having the highest power of its variables as 1 is known as a linear equation.

Let the required number be x.

The given condition is - "Three fewer than four times a number is five more than twice the number."

Based on the given condition we will form an equation and solve it for x to find the required number.

The resulting linear equation is,

4x-3 = 2x+5

4x-2x = 5+3

2x = 8

x = 4

Hence, the required number is 4.

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Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

Answer:

n=(1/6) or n=-5/2

Step-by-step explanation:

|6n+7|=8

6n+7=8 or 6n+7=-8

6n=1 or 6n=-15

n=(1/6) or n=-5/2

Answer:

g(-12) is 10

Step-by-step explanation:

[tex]g(x) = 1 - \frac{3}{4} x [/tex]

when x is -12:

[tex]g( - 12) = 1 - \frac{3}{4} ( - 12) \\ g( - 12) = 10[/tex]

[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(-12) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: -12 \\ \\ \sf \:1 - \frac{3}{4} (-12) \\ \sf \: = 1 - \frac{3}{4} \times -12 \\ \sf \: = 1 + 9 \\ \sf \: = \underline{\bf \: 10}[/tex]

Hope it helps.

RainbowSalt2222

Answer:

please send the questions again

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

Answer:1/3

Step-by-step explanation:

There are 6 sides and 2 numbers more than 4

Put that info into a fraction 2/6

Then simplify 1/3

Answer:

144

Step-by-step explanation: