evaluate 3^2*5^5*3^3*5^3/3^4*3^4​

Answers

Answer 1

[tex] \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......[/tex]

This is the solution.


Related Questions

Solve for x. 2^4x-7=16

Answers

Answer:

23/16

Step-by-step explanation:

2*4 x x-7 = 16

16x - 7 = 16

16x = 16 + 7

16x = 23

x = 23/16

Give me a rating XD <3

Need help please and thank you.​

Answers

Answer:

[tex]log_4(\frac{1}{64})=-3[/tex]

Step-by-step explanation:

[tex]log_b(b^x)=x[/tex]

Let b = base and x = the exponent

    Looking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.

[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]

Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].

Kendall tracked the amount of water his windowsill plant needed each week over ten weeks. Her data is shown below.



Which of the following is true?
A.
There is a negative association between the number of weeks and the ounces of water the plant needed.

B.
There is a positive association between the number of weeks and the ounces of water the plant needed.

C.
There is no association between the number of weeks and the ounces of water the plant needed.

D.
There is both a positive and negative association between the number of weeks and the ounces of water the plant needed.

Answers

Answer:

Perfort the indicated operation Show your solution in

the gevin below

What type of association does the graph show between x and y

Answers

Answer:

Nonlinear positive association

Step-by-step explanation:

It is nonlinear because it does not form a straight line.

It is positive because it is going up to the right.

I hope this helps!

A $300 bike is marked down to $175. Find the percent markdown to the nearest whole percent.

Answers

Answer:

58

Step-by-step explanation:

58 because you divide 200 by 100 then getting that answer (3) then divide 175 by 3 which equals one percent and you get 58.333 you round it to the nearest whole and u get 58

Rebecca can swim 90 meters in 2 minutes. If you graph this with minutes on the x-axis and meters on the y-axis, what will be the slope of the line?


May I please have some help with this problem?

Answers

The slope of a line is the average rate of change of the line.

The slope of the line would be 45

From the question, we understand that she can swim 90 meters in 2 minutes.

So, the slope (m) of the line of the graph would be

[tex]m=\frac{90 - 0}{2 - 0}[/tex]

Simplify the numerator, and the denominator

[tex]m=\frac{90}{2}[/tex]

Divide 90 by 2

[tex]m=45[/tex]

Hence, the slope of the line would be 45

Read more about slopes at:

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3-8(1+8x)=-133
Solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Expanding, we have 3 - 8-64x=-133.

Combining like terms, we have -5 - 64x=-133

Adding 5 to both sides, we have -64x= -128

Dividing by -64, we have x = 2

a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?

Answers

Step-by-step explanation:

that is the same as the volume of a cylinder :

pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³

≈ 201 in³

Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cylinder is given by the formula as shown below,

Volume of a cylinder = πr²h

where r is the radius of the cylinder while h is the height of the cylinder.

Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,

The volume of the tube = π × R² × h

                                       = π × (4 inches)² × (4 inches)

                                       = 64π inches³

                                       = 201.0619 inches³

Hence, the volume of the tube is 201.0619 inches³.

Learn more about Volume:

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11)
Given the function, f(x) = x2 + 5x - 3 evaluate f(-2).

Answers

Answer:

f(- 2) = - 9

Step-by-step explanation:

Substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 5(- 2) - 3 = 4 - 10 - 3 = 4 - 13 = - 9

I’m failing pls help I’ll brainlest ASAP

Answers

-2,-1
step by step explanation: i counted the numbers and got the answer

Simplify the expression 16+​(−5​)−6/7j−2/7j+6

Answers

It is B because I just not make sense and also c does not make sense and all the others to make sense to only one that makes sense to speak

A large bag contains 29 balls of different colors. The balls are of the same size, weight, surface, such that besides the color they cannot be differentiated. Among the 29 balls, 8 are green, 4 are yellow, 6 are red, 5 are blue, and 6 are black.
(a) What is the probability of getting exactly 1 green, 1 yellow and 2 red when pulling 8 balls? number (rtol=0.01, atol=0,0001)
(b) What is the probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls? number (rtol=0.01. atol=0.0001)
(c) What is the probability of getting first and last a green, and then in any order 2 yellow and 2 red when pulling 8 balls? (Note: If there are remaining balls, they need to be either blue or black) number (rtol=0.01, atol=0.0001)
(d) What is the probability of getting 2 blue and 2 non-blue when pulling 4 balls? number (rtol=0.01, atol=0.0001)
(e) Recalculate part (d) using a binomial distribution. number (rtol=0.01, atol=0.0001)

Answers

Answer:

White

6

Red

9

Green

Total number of balls =5+6+9

=20

(i) Probability =

Total cases

favourable cases

P(Green) =

20

9

(ii) P(White or red) =

20

5+6

=

20

11

(iii) P(neither green nor white) = P(Red)

=

20

6

=

10

3

The probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls is 0.000303.

The probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls is 0.00283.

(a) Probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls:

Total number of balls = 29

Total number of balls to be pulled = 8

Number of ways to choose 1 green out of 8 = C(8, 1) = 8

Number of ways to choose 1 yellow out of the remaining 7 = C(7, 1) = 7

Number of ways to choose 2 red out of the remaining 6 = C(6, 2) = 15

Total favorable outcomes = 8 x 7 x 15 = 840

Total possible outcomes = C(29, 8) = 2,765,905

Probability

= favorable outcomes / possible outcomes

= 840 / 2,765,905

= 0.000303

Therefore, the probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls is 0.000303.

(b) Total number of balls = 29

Total number of balls to be pulled = 6

Number of ways to choose 1 green out of 8 = C(8, 1) = 8

Number of ways to choose another green out of the remaining 7 = C(7, 1) = 7

Number of ways to choose 2 yellow out of the remaining 5 = C(5, 2) = 10

Number of ways to choose 2 red out of the remaining 3 = C(3, 2) = 3

Total favorable outcomes = 8 x 7 x 10 x 3 = 1,680

Total possible outcomes = C(29, 6) = 593,775

Probability

= favorable outcomes / possible outcomes

= 1,680 / 593,775

= 0.00283

Therefore, the probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls is 0.00283.

(c) Probability of getting first and last a green, and then in any order 2 yellow and 2 red when pulling 8 balls:

Total number of balls = 29

Total number of balls to be pulled = 8

Number of ways to choose the first green = C(8, 1) = 8

Number of ways to choose the last green = C(7, 1) = 7

Number of ways to choose 2 yellow out of the remaining 6 = C(6, 2) = 15

Number of ways to choose 2 red out of the remaining 4 = C(4, 2) = 6

Number of ways to choose the remaining 2 balls (either blue or black) = C(5, 2) = 10

Total favorable outcomes = 8 x 7 x 15 x 6x 10 = 50,400

Total possible outcomes = C(29, 8) = 2,765,905

Probability

= 50,400 / 2,765,905 ≈ 0.0182

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6x + 34x - 6 =8(5x + 10)

Answers

[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]

Hey guys please help me please and thank you

Answers

Answer:

B

Step-by-step explanation:

No matter how many times you multiply 1 by itself, it will always be 1 which makes A and D incorrect.

x is a power. The question is 1/4 * 1/4 * 1/4 which is 1/64

Answer: B

Step-by-step explanation:

[tex]f(x)=(\frac{1}{4})^x\\f(3)=(\frac{1}{4})^3\\f(3)=(\frac{1}{4})(\frac{1}{4})(\frac{1}{4})\\f(3)=\frac{1}{64}[/tex]

Simply:
3 (2x - 2) -2 (x - 2)

A: 3x -3
B: 3x -4
C: 4x -2
D: 4x -4

Answers

Answer:

4x-2

Step-by-step explanation:

6x-6-2x+4

=4x-2

If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.

What is the expression that shows how many extra credit points Mona earned?

How many terms are in the expression?

Answers

e-32 is equal to the number of points Mona earned. There are two terms in this expression.

During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?

Answers

Answer:

16 to 52

Step-by-step explanation:


A pair of pants costs $24.60 when it is on sale for 25% off. What was the
original cost of the pants? (still....no labels!)

Answers

well, we know the pants are 25% off, that means the current sale price is only 75% of the original price, say the original price is "x" or 100%.  So we know that $24.60 is 75%, what is the 100%?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 24.6&75\\ x&100 \end{array}\implies \cfrac{24.6}{x}=\cfrac{75}{100}\implies \cfrac{24.6}{x}=\cfrac{3}{4} \\\\\\ 98.4=3x \implies \cfrac{98.4}{3}=x\implies 32.8=x[/tex]

PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK

Answers

Answer:

Step-by-step explanation:

       -(4q+8) + 6q = 12q - 5/6(18q + 6)

Open brackets:

<=>  - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6

<=>  - 4q - 8 + 6q = 12q - 15q - 5

Put q in one side and non q in one side:

<=> - 4q + 6q - 12q + 15q = 8 - 5

<=> 5q = 3

<=> q = 3/5

Fill in the blanks to solve 900 x 6

Answers

Answer:

The answer is 900 ×6= 5,400 u can use a calculator

[tex]\sf 3x+6y=12[/tex]​

Answers

Answer:

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] \frac{3x}{3} = 1 = x[/tex]

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

Answer:

x=2(3-y)

Step-by-step explanation:

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

Given the function f(x) = -5x + 2, find the range ofly for x = -1, 0, 1.
O 7, 2, -3
O 7, 2, 3
O-7, -2, 3
0-7, -2, -3

Answers

Answer:

A

Step-by-step explanation:

f(-1)=7, f(0)=2, f(1)=-3

What is the value of 40 1/2÷3 1/2

Answers

11.57142857142857 Is the answer

Answer:

81/7 (11.57, 11 4/7)

Step-by-step explanation:

Lets rewrite these mixed fractions

[tex]40\frac{1}{2}=\frac{81}{2}[/tex]

[tex]3\frac{1}{2} =\frac{7}{2}[/tex]

Here we can do divide these two numbers:

[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]

The answer therefore is 81/7, or 11.571 (11 4/7)

Q: Solve for x: 8x-2-5x=8
A. OX=13
B. OX=2 1/2
C. OX=3 1/3
D. OX=7

Answers

Answer:

c. 3 1/3

Step-by-step explanation:

8x-2-5x=8

3x=10

x=10/3=3 1/3

Answer:

x=[tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

Hi there!

We want to find the value of x in this expression:

8x-2-5x=8

Our goal is to isolate x on one side

Combine like terms on the left side (add the terms with x together)

3x-2=8

Add 2 to both sides (-2+2=0)

3x-2=8

   +2  +2

__________

3x=10

Divide both sides by 3

x=[tex]\frac{10}{3}[/tex]

Simplify the improper fraction

x=[tex]3\frac{1}{3}[/tex]

Hope this helps!

Can you please help me

Answers

Answer: 1/6

Step-by-step explanation:

Given:

4/9 and 11/18

Solve:

STEP ONE: Make the denominators equal by determining the LCM

LCM = Least Common Multiple

First Five multiples of 9 = 9, 18, 27, 36, 45

First FIve multiples of 18 = 18, 36, 54, 72, 90

As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.

STEP TWO: Compare the size and determine the greater one.

4/9 = (4 × 2) / (9 × 2) = 8/18

11/18 = 11/18

Since 11 > 8, therefore, 11/18 is greater than 8/18

STEP THREE: Find the difference between the two fractions.

 11/18 - 4/9

=11/18 - 8/18

=(11 - 8) / 18

= 3 / 18

= 1/6

Hope this helps!! :)

Please let me know if you have any questions

if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?​

Answers

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

please help ill mark brainliest​

Answers

Answer:

x=3

Step-by-step explanation:

6(x+5)=4(x+9)

6x+30=4x+36

2x+30=36

2x=6

x=3

Find the equation of the line

Answers

Answer:

Y = 4x - 9

Step-by-step explanation:

Hope this helps! If it’s wrong I’m really sorry.

Pls give brainliest!

Answer:

...

Step-by-step explanation:

Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.

Answers

Answer:

[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

-6x +7y= -62

Rewriting this equation into the slope-intercept form:

7y= 6x -62

[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]

The product of the slope of 2 perpendicular lines is -1.

Let the slope of the unknown line be m.

[tex]m( \frac{6}{7} ) = - 1[/tex]

[tex]m = - 1 \div \frac{6}{7} [/tex]

[tex]m = - \frac{7}{6} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{7}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= -3,

[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]

[tex] - 3 = - \frac{28}{3} + c[/tex]

[tex]c = \frac{28}{3} - 3[/tex]

[tex]c = \frac{19}{3} [/tex]

[tex]c = 6 \frac{1}{3} [/tex]

Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].

If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answers

Answer:

17 and a half days OR 18 days

Step-by-step explanation:

7 books : 8 days

20 books: x days

cross multiply

x = (8×20)÷ 7

x = 17.5

therefore

17 and a half days or 18 days

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