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madreJ [45]
1 year ago
9

(rs^-3) (4r^-2s^3) please show you're work

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
8 0

The simplified expression is (rs^{-3) (4r^{2 x s³) is 4r³.

<h3>What are exponents?</h3>

The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 x 8 x 8 x 8 x …..n times = 8n

Given:

(rs^{-3) (4r^{2 x s³)

Now, using the law of exponents we have

a^m . a^n = a^{m+n

So,

(rs^{-3) (4r^{2 x s³)

= 4r^{2+1 x s^{-3+3

= 4r³ x s°

= 4r³

Hence, the simplified expression is (rs^{-3) (4r^{2 x s³) is 4r³.

Learn more about exponents here:

brainly.com/question/15722035

#SPJ1

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  C.  1.15x

Step-by-step explanation:

You are given the expression for the cost:

  x + 0.15x

Combining like terms, this becomes ...

  1.15x . . . . . matches choice C

3 0
3 years ago
FIND RQ! Show work :)
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5 0
2 years ago
The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?
grandymaker [24]

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

f(x)=x^4+5x^3-3x-15

q(x) = (x^3-3)

We need to find the polynomial. We know that, Euclid division lemma states that

f(x)=q(x)\times g(x)+r(x)

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5

So, the polynomial is (x+5).

 

3 0
3 years ago
Read 2 more answers
Which is the graph of the function f(x) = x3 + x2 + 4?
Stolb23 [73]
X=- 4/5
X=-0.8
That’s the answer to your problem to your question
7 0
3 years ago
A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a
Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0
3 years ago
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