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olga_2 [115]
3 years ago
8

What is the answer please

Mathematics
1 answer:
serg [7]3 years ago
4 0

Step-by-step explanation:

1a.\\ 8-y=2\qquad\text{subtract 8 from both sides}\\-y=-6\qquad\text{change the signs}\\\boxed{y=6}\\\\1b.\\11-9=2-b\\2=2-b\qquad\text{subtract 2 from both sides}\\0=-b\to \boxed{b=0}\\\\2a.\\5=\dfrac{c}{3}\qquad\text{multiply both sides by 3}\\15=c\to \boxed{c=15}\\\\2b.\\2=5-t\qquad\text{subtract 5 from both sides}\\-3=-t\qquad\text{change the signs}\\3=t\to\boxed{t=3}\\\\3a.\\5n=10\qquad\text{divide both sides by 5}\\\boxed{n=2}\\\\3b.\\a+6=12\qquad\text{subtract 6 from both sides}\\\boxed{a=6}

4a.\\v-10=7\qquad\text{add 10 to both sides}\\\boxed{v=17}\\\\4b.\\7=7n+7n\\7=14n\qquad\text{divide both sides by 14}\\\dfrac{7}{14}=n\\\boxed{n=\dfrac{1}{2}}\\\\5a.\\m+11=12\cdot4\\m+11=48\qquad\text{subtract 11 from both sides}\\\boxed{m=37}\\\\5b.\\6y=7+5\\6y=12\qquad\text{divide both sides by 6}\\\boxed{y=2}\\\\6a.\\b-8=3\qquad\text{add 8 to both sides}\\\boxed{b=11}\\\\6b.\\1+c=8\qquad\text{subtract 1 from both sides}\\\boxed{c=7}

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A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

d=3.82 miles

7 0
4 years ago
225x=2700
Allisa [31]

Answer:

d

Step-by-step explanation:

just divide 2700 and 225 to get X

7 0
3 years ago
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Find the slope of the line passing through (4,1) and (-4,1). Is it undefined?
zalisa [80]
To find teh slope of a line you put the points in the fraction y2-y1/x2-x1 

E.J. 1-1/-4-4 this equals when adding or subtracting 0/-8.

it is not underined because when you divide it it gives you 0 the only way it could be indefined is if the answer could not be divided at all

Hope this helps
5 0
4 years ago
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The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent th
Dafna1 [17]

The exponential function that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

The daily rate of change is of 20.82%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 630, r = 0.76

Hence the equation that represents the number of users on the website after t is given by:

A(t) = 630(1.76)^t

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
What is a probability that a person chosen at random who lives in the city live in the east or west region?
Anastasy [175]

<u><em>Answer:</em></u>

0.3

<u><em>Explanation:</em></u>

We are given that:

Probability that a randomly chosen person lives in the East is 0.12

P(East) = 0.12 ..................> I

Probability that a randomly chosen person lives in the West is 0.18

P(West) = 0.18 ............> II

Now, we want to find the probability that the randomly chosen person lives in the East or West

<u>To do this, we will use the following formula:</u>

P(A or B) = P(A) + P(B)

<u>Applying this rule to our givens:</u>

P(East or West) = P(East) + P(West)

P(East or West) = 0.12 + 0.18

P(East or West) = 0.3

Hope this helps :)

7 0
4 years ago
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