Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?

A. 648
B. 216
C. 81/8
D. 27/8

Answers

Answer 1

[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]


Related Questions

Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?

Answers

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

7x – 5 – 3x = 7 – 6x solve for x

Answers

Step-by-step explanation:

7x - 3x=5 + 7

we will plus --

10x =12

x=12÷10 or 10 /12

x=12.2

There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *

Answers

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

Solve four ninths minus four tenths equals blank.

Answers

Answer:

2/45

Step-by-step explanation:

Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?

Answers

Answer: The final balance is $982.47.

The total compound interest is $232.47.

Step-by-step explanation:

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answers

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

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

[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

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

When x= -1, y= 0,

[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]

[tex]0 = \frac{1}{2} + c[/tex]

[tex]c = - \frac{1}{2} [/tex]

Thus, the equation of the line is y= -½x -½.

Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.

Answers

28 / 35 first divide

= 0.8

Then multiply the decimal with 100

0.8 x 100

= 80

There fore the answer is 80%

Hope this helps!
Brainliest is much appreciated!

Answer:

I think it;s 9.8

Step-by-step explanation:

You divide 35 and 28 i think

check attachment for question

Answers

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

8 x 1/2=4 simplified

Answers

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Estimate the area please. will give brainliest.​

Answers

Answer:63

Step-by-step explanation:

Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x

Answers

Answer:

y=-6/5x

Step-by-step explanation:

Hehhhhhhhhhhhhhheh eh

Answers

So smart✅ like the humor tho

3(2/3p+3-1/3p-5) What is the simplified version of this equation.

Answers

Answer: p+1

Step-by-step explanation:

3(2/3p+3-1/3p)

=3(1/3p+3)

=p+1

HELLLLLLLLLLLLLPPPPPPPPPP

Answers

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

solve for x -22=-7+3/5x

Answers

X-22=-7+3/5x
Answer x= 75/2
Explanation:

X-22=-7+3/5x multiply both sides of the equation my 5
5x-110= -35+3x

Move the variable to the left-hand side and change its sign
5x-110-3x= -35

Move the constant to the right-hand side and change its sign
5x-3x= -35+110

Collect like terms
2x= -35+110

Calculate the sum
2x=75

Divide both sides of the equation by 2
x=75/2

Answer x=75/2

find the value of 777^2 - 223^2​

Answers

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440


Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?

Answers

Answer:

Taylor walked 35 minutes

Step-by-step explanation:

4:25

+:35

=5:00.

once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00

What is the range of the function y = x^2?


Ox>0

O all real numbers

Oy>0​

Answers

Answer:

The range is y≥0

Step-by-step explanation:

The shape of this graph is a parabola

You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.

(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.

For example

y = (2)^2=4

y = (3)^2 = 9

(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).

Example

      y = x^2

                 Y    |     X

                ________

                 2      |   4  

                 3     |   9

                 4    |    16

In this case the function's range is y≥0 because all y values will be greater than or equal to 0.

If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.

Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?

Answers

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!

Solve (u+2)^2+6=69 , where u is a real number.

Answers

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

URGENT
Evaluate the expression below for the given value

X^2+ 2x for x = -3

Answers

Answer:

-3×2+2×-3

-6+-6

-12

I think^=×

Answer:  3

Step-by-step explanation:

X^2+ 2x for x = -3

(-3)^2+ 2(-3)

(-3)(-3) -6

+9 -6

3

34.2 is what percent of 288? Round to the nearest hundredth.

Answers

Answer:

11.87%

Step-by-step explanation:

34.2/288=0.11875

Which is about 0.1187

So 11.87%

Answer:

11.87

Step-by-step explanation:

mental math and just big brain

which graph appears to show a proportional relationship between x and y ​

Answers

Answer:

What graph?

Step-by-step explanation:

No wonder why you have been waiting 25+ mins to get an answer

a coin is tossed 4 times. what is the probability of getting heads each time

Answers

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.

Answers

Answer:

The Diagram is not showing

Step-by-step explanation:

Plzzzzz help meeeee plzzzz I really d answa

Answers

Answer:

c. is correct answer I think


1. Name a midsegment in the triangle.

Answers

Answer:

EF

Step-by-step explanation:

Hope this helps!

Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?

Answers

Answer:

.2 kilometers

Step-by-step explanation:

Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers

Determine whether each equation represents a proportional relationship.

Y=2.5x

y= x - 4

Answers

Answer:

y=2.5x - Proportional  

y= x - 4 - Not Proportional  

Step-by-step explanation:

A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.

The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.

However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.

Hope this helps.

if f(x)=2x^2-1, then f(-3)=

Answers

Answer:

f(-3) =17

Step-by-step explanation:

f(x)=2x^2-1

Let x = -3

f(-3)=2(-3)^2-1

     = 2(9) -1

     = 18-1

     17

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