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3 years ago

PLEASE HELP!! I will mark the brainliest!!!

Mathematics

1 answer:

const2013 [10]3 years ago

4 0

Answer:

1. c 2. a 3. e 4. d (this one i am not 100% sure on) 5. b 6. i believe is d

Step-by-step explanation:

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Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.

tigry1 [53]

Answer:

See below

Step-by-step explanation:

Exponential function is:

y = abˣ

If we consider the time difference in years as x and the initial population as a, then we get:

675647 = 617594*b¹⁰

Find the value of b:

b¹⁰ = 675647/617594
b¹⁰ = 1.09399864636
b = 1.09399864636^(1/10)
b = 1.009 (rounded)

The equation we got is:

y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0

2 years ago

Simplify (4i)(–5i)(6i) –120 –120i(incorrect) 120i 120

professor190 [17]

Answer:

120i

Step-by-step explanation:

;i × i = -1....so hence

4i × (-5i) = -20 i^2...which is -20(-1) = 20....

then you multiply with 6i

20(6i) = 120i

4 0

3 years ago

What kind of angle is this and how do you work it out?

Lostsunrise [7]

Well x is an obtuse angle

but the angle e,f,g is an acute angle

7 0

3 years ago

Read 2 more answers

A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly

shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = $\frac{1}{4}$

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}$

$P(First\ White) = \dfrac{3}{10}$

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

$P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }$

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = $\frac{1}{4}$

4 0

3 years ago

PLEASE HELP!!! ITS EASY! Simplify: (1/2a - 1/3b) - (1/3b - 1/2a)

IrinaVladis [17]

Answer:

a-2/3b

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers