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Artyom0805 [142]
3 years ago
14

Simplify the expression. Write your answer as a power. 5^8 x 5^5/5^4 x 5^3

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

Step-by-step explanation:

5^5/5^4 = 5^(5-4) = 5

5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12

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If 2/8 of a class has a pencil and 2/6 of the class has pins but no pencils, how many more students have pins then pencils?
vekshin1

Answer:

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Step-by-step explanation:

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2 years ago
Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch
mezya [45]
To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9
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3 years ago
Which function forms an arithmetic sequence when x = 1,2,3,…?<br> ( help please! )
MariettaO [177]

Step-by-step explanation:

hope you can understand

3 0
2 years ago
At a store, a hat has a regular price of a dollars. During a sale, the price of that hat is discounted by 20%.The expression 0.8
OlgaM077 [116]

Answer:

Question?

Is the wording: price of "a" dollars, (in italics)?

If so, the equation would be:

0.8a

Otherwise, if "x" represents the regular price, then the equation would be:

0.8x

Step-by-step explanation:

8 0
3 years ago
Question 5 and 6 please help me
sp2606 [1]

Problem 5

The function is continuous for the given domain x \ge 6

This is because y = (-5/6)x+5 is itself continuous, and any interval subset of this function is also continuous. We can plug in any real number that is equal to 6 or larger, and get some y output. If we plugged in x = 6, then we'd get

y = (-5/6)x+5

y = (-5/6)*6 + 5

y = -5+5

y = 0

This is the largest y value possible. Why? Because y = (-5/6)x+5 has a negative slope, so the graph is going downhill as you read it from left to right. As x gets bigger, y gets smaller. The smallest x value allowed in the domain produces the largest y value in the range. There is no smallest y value as the y values keep going down forever.

The range is therefore y \le 0

In interval notation, you can write the range as (-\infty, 0]. The square bracket indicates "include this endpoint as part of the range".

======================================================

Problem 6

The function is discrete for this given domain. The domain itself is a discrete list of values. We cannot plug in values between say 0 and 2. We can only substitute one of those values from the list given. Consequently, the y values will also be a list, and not an interval like problem 5 had.

-----------

If you plugged in x = -4, then you should get...

y = (-1/2)*(-4)+2

y = 2+2

y = 4

So the input x = -4 lead the output y = 4

Repeat for x = -2

y = (-1/2)x+2

y = (-1/2)*(-2)+2

y = 1+2

y = 3

and the same for x = 0 as well

y = (-1/2)x+2

y = (-1/2)*0 + 2

y = 0 + 2

y = 2

and x = 2 also

y = (-1/2)x+2

y = (-1/2)*2 + 2

y = -1+2

y = 1

Finally, plug in x = 4

y = (-1/2)x+2

y = (-1/2)*4+2

y = -2+2

y = 0

---------------

If we plugged each of these x values {-4, -2, 0, 2, 4} one at a time into the equation y = (-1/2)x+2, then we get this list of values {4, 3, 2, 1, 0}

Sorting the values from smallest to largest, we have this range {0, 1, 2, 3, 4}

3 0
3 years ago
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