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3 years ago

Which equation represents exponential growth?

Mathematics

2 answers:

Blababa [14]3 years ago

8 0

Growth means a base for exponentiation bigger than 1 (in absolute value), otherwise it's decay.

Only the first choice has a base biggerthan 1. The last choice is equivalent to $f(x)=5 ( \frac 1 6)^x$ so has a base less than 1.

Answer: A

AlekseyPX3 years ago

6 0

Note how answer A has the form (constant)(constant greater than 1)^exponent. This is how you recognize expo growth. The other 3 answer choices are disqualified because their bases {0.11, 1/2, 1/6} are fractions between 0 and 1.

The correct answer is A.

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Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a

Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , $1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}$ .

Also , simplifying her rate , $6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}$ .

Now , ratio of his work by challenge is :

$R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}$

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

8 0

3 years ago

Read 2 more answers

Please Help me.. What is the value of x?

Triss [41]

In triangle ABC, angle B is 90° and angle A is 45° => triangle ABC is Isosceles triangle. That means side AB = BC

Also, side AC² = AB² + BC² = 2BC²
(6√2)² = 2BC² => 36*2
BC = 6

In triangle BCD, angle D is 90° and angle B is 60° => triangle BCD is semi Equilateral triangle. That means side BD = ½BC = 6/2 = 3 which is the value of X.

Good luck

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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: