Mathematics College

Find the value of the following expression:

(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28

Write your answer in simplified form. Show all of the steps.

Answers

Answer 1

(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =

(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =

42037.81348 * 0.00000000732094 * 22876792454961 =

7040477235.56798349

 round answer as needed

Related Questions

what is the perimeter of (-6, 2), (3,2), (-6,-7) (3,-7)

Answers

Hello! So just by looking at the points, I already know that it’s gonna be a square. This is because when we look at the coordinates, The difference if -6 And 3 is 9 And the difference between 2 and -7 is 9. With that being said, each side is 9 inches apart. There are 4 sides. Multiply the length of the sides by 4. 9 * 4 = 36. The perimeter of the square is 36 units.

How is adding 4.56 + 2.31 similar to adding $2.31 + $4.56?

Answers

They're all whole/natural numbers. The only difference is that one problem is in the form of currency. Anyhoo, you'll end up with the same answer. Currency, and an equation. The similarities are the factors, and the operations are the same.

Ken has 4.66 pounds of walnuts ,2.1 pounds of cashew , and 8 pounds of peanuts .he mixes them together and divides them equally among 18 bags .how many pounds of nuts are in each bag ?

Answers

walnut= 4.66 pounds cashew=2.1 pounds peanuts=8 pounds Total nuts= 4.66+2.1+8 = 14.76 pounds each bag contains= 14.76/18=0.82 pounds of nuts

what is the sum of 2 3/8 and 3 3/7

Answers

first off, we'd convert the mixed fractions to "improper", then get the LCD to sum them up.

[tex]\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}} \\\\\\ \stackrel{mixed}{3\frac{3}{7}}\implies \cfrac{3\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{24}{7}}\\\\ -------------------------------\\\\ \cfrac{19}{8}+\cfrac{24}{7}\impliedby \textit{so our LCD is just 56}\implies \cfrac{(7\cdot 19)~+~(8\cdot 24)}{56} \\\\\\ \cfrac{133+192}{56}\implies \cfrac{325}{56}\implies 5\frac{45}{56}[/tex]

Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.

88%, 73%, 97%, 76%, 90%, 80%

Answers

To find the mean you: add up all the numbers, then divide by how many numbers there are.  So the mean for these numbers would be: 84%

To find the median: You put the numbers in order (From least to greatest), and then find the number exactly in the middle. Here it is an even amount of numbers. No problem, just add the two numbers in the middle and then divide by 2. The answer here is: 84%

Answer: The Mean

The mean is when you add up all of those grades and divide by the amount of exams.

What is the total rounded to the nearest tenth of 94.23

Answers

The total is 94.2.

Hope this helps!
See 94.23 is the number you are rounding.

94.23 the 2 is in the tenth place so you look at the next number 3 since it’s less then 5 the total rounded to the nearest tenth would be 94.2 because you take off the 3

f(x)=12sinx+12cosx. Find f'(x)

Answers

[tex]\bf f(x)=12sin(x)+12cos(x)\implies \cfrac{df}{dx}=12cos(x)-12sin(x)[/tex]

I thought of a number, then divided it by another number, and got a result of 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?

My number is a multiple of ?
The number I divided my number by can be any number but ?
My number cannot be a number which we cannot divide by ?

Answers

Let the first unknown number be [tex]x[/tex]
And the second unknown number be [tex]y[/tex]

We know that [tex]x[/tex] ÷ [tex]y[/tex] = 7

My number is a multiple of 7 and also multiple of [tex]y[/tex]
This is because of 7 × [tex]y[/tex] = [tex]x[/tex]
-----------------------------------------------------------------------------------------------------------

The number I divided my number by can be any number but ZERO
Because [tex]x[/tex] ÷ 0 is undefined
--------------------------------------------------------------------------------------------------------------

My number cannot be a number which we cannot divide by SEVEN
Because [tex]x[/tex] ÷ [tex]y[/tex] = 7, so [tex]x [/tex] must be divisible by 7 to obtain [tex]y[/tex]

[tex] \frac{x}{y} =7[/tex]
[tex] \frac{x}{7} =y[/tex]
[tex]7y=x[/tex]


Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph in the same direction as car A. At what time will car B pass car A

Answers

Car a 30(t+1)

Car b 40t

 30(t+1) =40t

30t+30 =40t

30=10t

T = 30/10 = 3hours

9 +3 = 12 noon


A)- -17
B)- -8
C)- -2
D)- 2
E)- 5
F)- 8
G)- 15
SELECT ALL THAT APPLY

Answers

B -8
D -2
G 15

That can represent an function that sentences

Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt), 6 sin(πt), 3 cos(πt) at the points where t = 0 and t = 0.5.

Answers

the answer your looking for is c hope i helped you

solve the following system of equations 3x+4y=17 -4x-3y=-18

Answers

3x + 4y = 17.....multiply by 4
-4x - 3y = -18 ...multiply by 3
------------------
12x + 16y = 68 (result of multiplying by 4)
-12x - 9y = - 54 (result of multiplying by 3)
------------------add
7y = 14
y = 14/7
y = 2

3x + 4y = 17
3x + 4(2) = 17
3x + 8 = 17
3x = 17 - 8
3x = 9
x = 9/3
x = 3

ur solution is (3,2)

Find the integer a such that
a.a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.

Answers

The integer a such that a ≡ 43 (mod 23) and −22 ≤ a ≤ 0 is -3. A zero, a positive natural number, or a negative integer with a minus sign is an integer.

What do we mean when we say that integers are congruent to modulo?When two positive integers a and b are divided by a positive integer n, they are said to be congruent modulo n (or an is congruent to b modulo n), or if a b is divisible by n. It can be expressed as a b mod n, where n is the modulus.If n is a positive integer, then the integers a and b are said to be congruent modulo n, as denoted by the expression a b (modn).Division algorithm Allow dd and aa to be both positive integers. Following that, there are two distinct integers, qq and rr, where rd0 and rd are equal, resulting in a = dq + ra = dq + r

Therefore,

-3 is in between -22 and 0 so a =-3

a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.

a ≡ 43 (mod 23)

≡ 43-22 (mod 23)

Simplifying,

≡ 20 (mod 23)

≡ 20-23 (mod 23)

Then we get,

≡ -3 (mod 23)

-3 is in between -22 and 0 so a =-3

To learn more about congruent modulo refer to:

brainly.com/question/13427492

#SPJ2

C = 2πr; If r = 4.6, find C.

Answers

4.6 x 2 = 9.2. 9.2 x 3.14 = 28.8. so your answer is C= 28.8


Hello there!

C = 2πr

For r = 4.6

C = 2 * 3.14 * 4.6

C = 28.888

Best of luck with your studies!

Line IJ has an equation of a line y = −3x − 8. Which of the following could be an equation for a line that is parallel to line IJ?

A) y=3x+7
B) y=1/3x+7
C) y= -3x+7
D) y= -1/3x+7

Answers

Answer:

C) y = -3x +7

Step-by-step explanation:

It's all about recognizing patterns.

The form of the equation is ...

... y = mx + b

In this form, the coefficient of x, which we called "m" in the above, is the slope of the line. When two lines have the same slope, they are parallel. So, we're looking for an equation that has an x-coefficient of -3, the same as in the given equation.

The coefficient of x in selection C is -3, so that is our answer choice.

... C) y = -3x +7

Answer:

y = -3x +7 which is option C

got it right on my test.

What produces a graph in a straight line

Answers

Linear equations in one variables shows always graph in straight line,

For ex: x = 3, y = 4, x = -1.5, y = -2/3

Also two variables linear equations with degree of 0 or 1 (Each term) shows always graph in straight line,

For ex: x + y = 5, 2x - 4y = 7 etc.

Chris answered 61/66 questions correctly. What is his test average to the nearest thousandth?

Answers

61/66=x/100
x=61*100/66=92.424

Find the value of x and the value of y.

A.
x = 10, y = 130
B.
x = 65, y = 10
C.
x = 65, y = 130
D.
x = 130, y = 10

Answers

The answer is C. Lol

the 2 angls need to equal 180 degrees

 so 2x-y +  60 = 180

 and 2x+y + 40 = 180


 using the choices you have

 answer is B x = 65, y = 10

 when you use those values they both equal 180


how many fossil kits with 10 samples each have the same number of fossils as 30 fossil kits with 8 samples each?

Answers

((( answer 24 )))as 30×8= 240 and 10×24 = 240

Answer:

24 fossil kits.

Step-by-step explanation:

Given,

The number of fossil kits = 30,

the number of samples each has  = 8,

So, the total samples = number of fossil kits × the number of samples contained by each kit

= 30 × 8

= 240,

Let x be the number fossil kits with 10 samples each,

Total samples = 10x

According to the question,

10x = 240

[tex]\implies x =\frac{240}{10}=24[/tex]

Hence, there would be 24 fossil kits with 10 samples each.

A wooden crate is a cube with edge lengths of 18 inches. The crate contains tiny plastic tubes with edge lengths of 3 inches. How many plastic cubes can fit inside the wooden crate. PLEASE EXPLAIN

Answers

18^3 = 5832 (volume of crate)

3^3 = 27 ( volume of small cubes)

5832/27 = 216 cubes ( divide volumes to get number of cubes)

The number of plastic cubes which fit into the create 

                                 =  volume of the crate / volume of one plastic cube.

                                 =     18^3  / 3^3 =  5832 / 27 = 216 Answer

Jemma has 24 balls. Out of the 24 balls,
12 are yellow, 4 are pink, and the rest
are red. What is the ratio of the number
of red balls to the number of balls that
are either yellow or pink?

Answers

The ratio of red balls to either yellow or pink balls is 8:24, or simplified to the max it would be 1:3

Evaluate 3(y-5) for y=7

Please help

Answers

So if y= 7 you plug in the variable into the equation.

3(7-5)
3(2)
6
The answer is 6. I hope this helps love!:)
3(7-5)= exchange y for 7
3(2)= subtract 5 from 7
6 multiply 3 times 2



Sadie has a blue ribbon and a red ribbon. The blue ribbon is 12 inches long. The blue ribbon is 3 times longer than the red ribbon.



Which operation would be best to use to determine the length of the red ribbon?


addition

division

multiplication

subtraction

Answers

multiplication it says time 3 so 12 times 3 is 36

Multiply and give the answer in scientific notation: (2.3 x 10^-3) (3 x 10^8 =

A. 6.9 x 10^5
B. 6.9 x 10^11
C. 6.9 x 10^-5
D. 6.9 x 10^24

PLEASE HELP!!

Answers

It is A. 6.9 x 10^5 Because 
2.3(10−3)(3(108))=2.3(11000)(3(108))=0.0023(3(108))=0.0023(3)(100000000)=(0.0023)(300000000)=690000

then 6.9*10^5 = 690000

its a i did test and got it right

Use the cosine double-angle identity cos(2θ) = 1 − 2sin2θ to derive an identity for 2sin2θ

Answers

then is just a matter of linear simplification

[tex]\bf cos(2\theta )=1-2sin^2(\theta )\implies 2sin^2(\theta )=1-cos(2\theta )[/tex]
Final answer:

To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can rearrange the equation and substitute the value of sin²θ to obtain the identity 2sin²θ = 1 - cos(2θ).

Explanation:

To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can start by rearranging the equation to solve for sin²θ. This gives us sin²θ = (1 - cos(2θ))/2.

Next, we can substitute this value into the expression for 2sin²θ. This gives us 2sin²θ = 2(1 - cos(2θ))/2 = 1 - cos(2θ).

Therefore, the identity for 2sin²θ is 1 - cos(2θ).

can someone please help me

Answers

Sam makes sweeter coffee.

Mario puts 4 packets in 16 ounces.

For the coffee to be equally sweet, if he had a 32 cup,
just multiply both numbers by 2.
If he put 4 packets in 16 ounces,
you'd put 8 packets in 32 ounces.
By doubling the packets and the coffee, the coffee is equally sweet.
There is just more of it.

Sam puts 8 packets in only 31 ounces of coffee.
Since Sam puts as much sugar in less coffee, Sam's coffee is sweeter.

Write the following comparison as a ratio reduced to lowest terms.

34 quarters to 10 dollars

Answers

Well 34 quarters = $8.50 

34 Quarters : $10

$8.50 : $10

$4.25 : $5

A population consists of all the weights of all defensive tackles on a university's football team. they are johnson, 204 pounds; patrick, 215 pounds; junior, 207 pounds; kendron, 212 pounds; nicko, 214 pounds; and cochran, 208 pounds. what is the population standard deviation (in pounds)?

Answers

The population standard deviation of the weights of the defensive tackles is approximately 3.96 pounds.

Here, we have to calculate the population standard deviation,

Calculate the mean:

Mean = (204 + 215 + 207 + 212 + 214 + 208) / 6

Mean = 1260 / 6

Mean = 210 pounds

Calculate the squared differences between each weight and the mean:

[tex](204 - 210)^2 = 36\\(215 - 210)^2 = 25\\(207 - 210)^2 = 9\\(212 - 210)^2 = 4\\(214 - 210)^2 = 16\\(208 - 210)^2 = 4[/tex]

Find the mean of the squared differences:

Mean of squared differences = (36 + 25 + 9 + 4 + 16 + 4) / 6

Mean of squared differences = 94 / 6

Mean of squared differences = 15.67

Take the square root of the mean of squared differences:

Population standard deviation = √(15.67)

Population standard deviation ≈ 3.96 pounds

So, the population standard deviation of the weights of the defensive tackles is approximately 3.96 pounds.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ5

A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.

Answers

A: Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.

Based on the dispersion of the scatterplot, we can infer that there is no relationship between the variables.

Relationships in scatterplots Data points are used to predict relationships. If a line can be drawn based on these data points, then a relationship exists.

The fact that these data points are dispersed however and offer no form of grouping, means that the variables are not related and show no correlational trend.

Find out more on scatterplots at https://brainly.com/question/2749543.

put these in order from the smallest
6² 3 to the power of 4 2 to the power of 5 5³

Answers

Hello!

A = 6 to the power of 2, which is 36
B = 3 to the power of 4, which is 81
C = 2 to the power of 5, which is 32
D = 5 to the power of 3, which is 125

Therefore, the order is C, A, B, D

Hope that helped!
Helloo.

From least to greatest.
1. 6^2= 36
2. 3^4 = 81
3. 5^3 = 125
4. 2^5 = 128
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