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Aleks04 [339]
3 years ago
11

Simplify. Write answer with positive exponents.8^3⋅8^5

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Step-by-step explanation:

By Law of Indices, a^m * a^n = a^(m+n).

Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.

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Garcia's Grill offers 77 side dishes, 55 types of steak, and 88 toppings. How many different smothered steak dinners can be made
svet-max [94.6K]

Answer:

Therefore the total number of ways that the customer can order the smothered steak dinner  is 9800.

Step-by-step explanation:

There are 7 side dishes, and  types of stake and 8 toppings.

The customer will have a smothered steak dinner.

The smothered steak dinner will consist of steak and 3 different toppings and 4\binom{8}{3} = \frac{8!}{3! \times 5!}  = 56 different side dishes.

The number of ways steak can be selected is =\binom{5}{1} = \frac{5!}{1! 4!}  =5

The number of ways toppings can be chosen is  = \binom{8}{3} = \frac{8!}{3! 5!}  = 56

The number of ways side dishes can be chosen = \binom{7}{4} = \frac{7!}{4!3!}  = 35.

Therefore the total number of ways that the customer can order the smothered steak dinner  is

= 5 × 56 × 35  = 9800.

7 0
3 years ago
Which pair of numbers are equivalent? 0.65% and 65100.65% and 65 tenths 0.7 and 7% 0.7 and 7% 0.5 and 150.5 and 1 fifth 0.02 and
N76 [4]

Step-by-step explanation:

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6 0
3 years ago
What is the answer to 5-3x=1-x ??
DaniilM [7]
The correct answer is 6
8 0
3 years ago
Solve for t. <br><br> d=3+at^2
GalinKa [24]

Answer:

it's the 2nd one

Step-by-step explanation:

d = 3 + at^2

-3 | -3

d - 3 = at^2

d - 3/a = t^2

√d - 3/a = √t^2

t = √d - 3/a

8 0
3 years ago
What is the range of y= x + 2?
Lelu [443]

Answer:

A) all real numbers greater than or equal to 2

Domain: x\geq 0

Step-by-step explanation:

The variable in the radical <em>x </em>cannot be less than 0 as that wouldn’t be defined. So, the maximum that <em>x </em>can be is 0, and y=x+2. So, 0+2=2, and <em>y </em>is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

7 0
3 years ago
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