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Zolol [24]
3 years ago
14

The table below shows the fifth powers of different numbers:

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0
Part A. Yes, because y=f(x)=x⁵.
Part B. f(4)=2(4)+12=8+12=20.
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6. (07.02 MC)
Alexus [3.1K]

Answer:

x = 28.07°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle given = x°

Opposite = 8

Hypotenuse = 17

Apply SOH:

Sin x = \frac{Opp}{Hyp}

Substitute

Sin x = \frac{8}{17}

x = sin^{-1}(\frac{8}{17})

x = 28.07° (nearest hundredth)

5 0
2 years ago
0 = 4x + 4 linear equation
FinnZ [79.3K]

Answer:

x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

0 = 4x + 4

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 4 on both sides:                    -4 = 4x
  2. Divide 4 on both sides:                        -1 = x
  3. Rewrite:                                                 x = -1
7 0
2 years ago
The difference of twice a number and 2 is<br> 40. Find the number.
IgorLugansk [536]

Answer:

answer = 21

Step-by-step explanation:

2n - 2 = 40

2n - 2 + 2 = 40 + 2

2n = 42

2n/2 = 42/2

n = 21

4 0
2 years ago
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased
DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is \frac{12}{31}

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)=\frac{number of favorable cases}{number of possible cases}

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

  • P(A)= the probability that they purchased a green sweater
  • P(B)= the probability that they purchased a gray sweater
  • Mutually exclusive events

You know:

  • 8 purchased green sweaters
  • 4 purchased gray sweaters
  • number of possible cases= 12 + 8 + 4+ 7= 21

So:

  • P(A)=\frac{8}{31}
  • P(B)=\frac{4}{31}
  • P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \frac{8}{31}+ \frac{4}{31}

P(A∪B)= \frac{12}{31}

<u><em>The probability that they purchased a green or a gray sweater is </em></u>\frac{12}{31}<u><em></em></u>

5 0
2 years ago
Find the domain and range of the function graphed below.
geniusboy [140]
I don’t see any graph attached to the question
7 0
3 years ago
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