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3 years ago

ASAP Lots of points!! 100 points!! Which expression is equivalent to 2^4 ⋅ 2^−7?

Mathematics

2 answers:

Crazy boy [7]3 years ago

7 0

Answer:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting

as 1/(2^3)

Goryan [66]3 years ago

6 0

Answer:

the answer for this is:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)

Step-by-step explanation:

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Can somebody answer these please!!<br> Ill Mark Brainliest^^

Levart [38]

Answer:

1. -5

2. 0.5

3. -4

4. 8

5. 9

6. -3

7. 5

8. 0.6

9. -7

10. 10

11. -5

12. 4

13. -9

14. 4

15. -6

Step-by-step explanation:

It's just the number that doesn't have a x to the side on it

3 0

3 years ago

Read 2 more answers

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0

3 years ago

Find the highest common factor of and lowest common multiple of 60 and 150 using prime factors

aleksley [76]

The highest common factor of 60 and 150 is 30
And the lowest is 10

6 0

3 years ago

Read 2 more answers

a white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 per minute. Which

guajiro [1.7K]

For the answer to the question above,
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Then If you convert the bison's speed to mph you get that it can run at speeds up to 40 mph.

I got this by seeing how many feet that they run in one hour so 3520 x 60 is 211200 which divided by 5280 is 40 mph.

I hope my answer helped.

5 0

3 years ago

Read 2 more answers

4. Dominic is buying candy by the pound for a party. For every 10 pounds of

Debora [2.8K]

10 pounds of candy = $12

Cost, per pound, for the candy = 12 / 10 = <u>$1.2 </u>

5 0

3 years ago