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taurus [48]
3 years ago
10

Which exponential expression is equivalent to one below?​

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

C. 21^10

Step-by-step explanation:

(3 * 7)^10 = 16679880978201

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Which shows one way to determine the factors of x^3 - 9x^2 + 5x - 45 by grouping ?
adoni [48]
You can group first two conjunctions and second two:
x^3 - 9x^2 + 5x - 45=(x^3-9x^2)+(5x-45).
In first brackets you have common x^2 and in second brackets common is 5:
(x^3-9x^2)+(5x-45)=x^2(x-9)+5(x-9)=(x-9)(x^2+5).
7 0
3 years ago
What is the area of a quarter circle with a radius of 10? (answer needs to be in terms of pi)
Aloiza [94]

Answer:

314.16

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
James, Priya, and Siobhan work in a grocery Store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan make
wolverine [178]

Answer:

<em>* Siobhan's profit at the grocery store ⇒ $ 10.8 *</em>

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

<em>* Siobhan's profit at the grocery store ⇒ $ 10.8 *</em>

4 0
3 years ago
Find the Laplace transform
Tom [10]

In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace. It transforms a function of a real variable t to a function of a complex variable s.

3 0
3 years ago
In a certain​ lottery, you must select 5 numbers​ (in any​ order) out of 26 correctly to win. a. How many ways can 5 numbers be
Step2247 [10]

Answer:

a. 7893600

b.\ \dfrac{1}{26}

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 \times25 \times24 \times23 \times22 = <em>7893600</em>

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

P(E) = \dfrac{1}{26}

So, the answers are:

a. 7893600

b.\ \dfrac{1}{26}

5 0
3 years ago
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