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Len [333]
3 years ago
8

Simplify the expression below. 4^5 x 4^3

Mathematics
2 answers:
BartSMP [9]3 years ago
4 0

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

4^5*4^3 = 4^{5+3} = 4^8

elena-s [515]3 years ago
3 0

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nalin [4]

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

8 0
3 years ago
HELP PLEASE! The distances from a ship to two lighthouses on the shore are 4 miles and 7 miles respectively. If the angle betwee
IrinaK [193]

Answer:

5.25 miles

Step-by-step explanation:

We are required to determine the distance between Lighthouse A and Lighthouse B in the diagram.

Using Law of Cosines

c^2=a^2+b^2-2abCosC\\c^2=7^2+4^2-2(7)(4)Cos48^\circ\\c^2=27.5287\\c=\sqrt{27.5287} \\c=5.25\: miles

The distance between lighthouses is 5.25 miles.

6 0
3 years ago
If w # 0, what is the additive inverse of the
laila [671]

The additive inverse of the expression -3/w is 3/w

<h3>How to determine the additive inverse?</h3>

The expression is given as:

-3/w

The law of additive inverse states that

For an expression x, the additive inverse is -x

This means that the additive inverse of the expression -3/w is 3/w

Hence, the additive inverse of the expression -3/w is 3/w

Read more about additive inverse at

brainly.com/question/1548537

#SPJ1

If w≠0, what is the additive inverse of the expression below? -3/w

7 0
1 year ago
(10 POINTS) if you can answer ASAP
Ludmilka [50]

Answer:

A. -0.93

Step-by-step explanation:

It is a negative due to the scatter plot line decreasing as the precipitation increases, which cancels out C & D. Then, it is decreasing rapidly, which portrays it as closer to -1 than 0, meaning the answer is A.

8 0
3 years ago
Read 2 more answers
The​ day's high temperature in St. Louis comma Missouri was recorded as 77 degrees' F. Use the formula Upper C=5/9(F-32) to writ
ludmilkaskok [199]

Answer:

The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

Step-by-step explanation:

The​ day's high temperature in St. Louis ,Missouri was recorded as 77 degrees F.

We are supposed to find the​ day's high temperature written as degrees Celsius.

Formula : C=\frac{5}{9}(F-32)

Substitute the value of F is 77 degrees

So,C=\frac{5}{9}(77-32)

C=\frac{5}{9}(45)

C=25

Thus, The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

6 0
3 years ago
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