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mestny [16]
3 years ago
7

Find the measure of the missing angles.

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

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Devise the exponential growth function that fits the given​ data, then answer the accompanying question. Be sure to identify the
NemiM [27]

Answer:

The cost in 2015 will be $283.45.

What is the reference point (t=0)?

d. The year 2005.

Step-by-step explanation:

The exponential growth model for the cost is the following:

C(t) = C_{0}e^{rt}

In which C(t) is the cost after t years, C_{0} is the initial cost and r is the decimal inflation rate

In this problem, we have that:

C_{0} = 190, r = 0.04

What will it cost in 2015 assuming the rate of inflation remains​ constant?

2015 is 10 years after 2005, so this is C(10).

C(t) = C_{0}e^{rt}

C(10) = 190*e^{0.04*10} = 283.45

The cost in 2015 will be $283.45.

The reference point is the year in which t = 0, so the year 2005.

7 0
4 years ago
Read 2 more answers
Which of the following ordered pairs belongs to the graph of f(x)
Lera25 [3.4K]

Answer:

The second choice, (-1,\, 12).

Step-by-step explanation:

Note, that the expression y = f(x) is an equation. A point (x,\, y) is on the graph of y = f(x)\! if and only if the value of x and y satisfy this equation; that is: in other words, the y\!-coordinate of that point (the second number in the tuple) should be equal to f(x), which is equal to (-3\, x +9) (evaluated where x\! is equal to the first number in the tuple.

For each tuple in the choices, calculate the value of f(x) where x is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on y = f(x) only if these two numbers match.

  • First choice: x = 1, f(x) = f(1) = -3 + 9 = 6. That's not the same as the second number, -10. Therefore, this point isn't on the graph of y = f(x).
  • Second choice: x = -1, f(x) = f(-1) = (-3)\times (-1) + 9 = 3 + 9 = 12. That matches the second number in the tuple. Therefore, this point is on the graph of y = f(x).
  • Third choice: x = 2, f(x) = f(2) = (-3)\times 2 + 9 = 3. That's not the same as the second number, (-3). Therefore, this point isn't on the graph of y = f(x).
  • Fourth choice: x = -2, f(x) = f(-2) = (-3)\times (-2) + 9 = 15. That's not the same as the second number, 13. Therefore, this point isn't on the graph of y = f(x).
4 0
3 years ago
Factor 4b^2 - 9<br><br> A, (4b+3)(b-3) <br> B, (2b+3)(2b-3)<br> C,(2b-4)(2b-5)
andrey2020 [161]
The correct answer is B)
Hope this helps!
7 0
4 years ago
Read 2 more answers
Which statement is correct when comparing the MEAN and MEDIAN of the data set
mrs_skeptik [129]

Answer:

A. The mean value is greater than the median value

Step-by-step explanation:

The median is found by rearranging the numbers from least to greatest and is the number that separates the lower half from the upper half. In this case that number was 0.75. The mean however is found by averaging all the numbers: adding them all up and dividing by the number of numbers. When I did that for this set of terms I got 1.08. Seeing as 1.08>0.75, the mean of the set is greater than the median.

6 0
4 years ago
How to factorise 24x+3
yan [13]
The first thing to do is to work out the biggest number that goes into bother 24 and 3.  As the only that goes into three- other than 1- is itself, one can assume this is the number we are looking for.  

Next, divide bother numbers by 3. 
24 / 3 = 8
 3 / 3 = 1

You now take 3 out of the brackets, and leave 8 and 1. 24x / 3 = 8x. 

3(8x + 1)

7 0
3 years ago
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