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Norma-Jean [14]
2 years ago
6

3² • 9³ = [ ]solve ​

Mathematics
1 answer:
RideAnS [48]2 years ago
4 0

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

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A worker is taking boxes of nails on an elevator, each box weighs 54lb. The weight of the worker is 170lb. Write an inequality d
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Answer: y=54(lb)x+170(lb)

Step-by-step explanation: that's the function for it but I tried. You need to include how much weight the elevator can hold though

6 0
3 years ago
It take 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same Pace, how many days will
ludmilkaskok [199]

Answer:

The workers will need 10 days to finish the job.

Step-by-step explanation:

To solve this question we can use a compound rule of three. We have:

10 road workers -> 5 days -> 2h/day

2 road workers ->  x days -> 5h/days

The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:

2 -> 5 -> 5

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x = (5*2*10)/(2*5) = 100/10 = 10 days

8 0
2 years ago
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

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x2 = 2

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Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

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y = mx + c. It becomes

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4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
2 years ago
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asambeis [7]

Answer:

The 1st selection is appropriate.

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2nd: the rotation would need to be 90° CCW

3rd, 4th: rotation or double reflection will give the original orientation. This figure is reflected an odd number of times, so has its orientation reversed.

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8 0
3 years ago
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A piece of metal has density of 11.3g/cm
djverab [1.8K]
The mass should be 75.71 grams
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So you would have to multiply the volume by the density
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