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lara31 [8.8K]
2 years ago
13

What is the answer to the problem

Mathematics
1 answer:
Ber [7]2 years ago
7 0
The answer is A. Good luck
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Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each
kiruha [24]

Laura received 144 orders over the first year

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

<em><u>Thus total orders received over first year:</u></em>

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

8 0
2 years ago
Find the distance, c, between (–3, –1) and (3, 2) on the coordinate plane. Round to the nearest tenth if necessary ??
astra-53 [7]

Point distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((3-(-3))²+(2-(-1)²)

Simplify

d=√((6)²+(3)²)

d=√(36+9)

d=√(45)

<h2><u><em> d=3√(5)</em></u></h2>

<u><em></em></u>

-Hunter

8 0
2 years ago
Read 2 more answers
Reduce to the lowest terms<br> 1. 4x^3 y^4 / -8xy^2 <br> 2. 3m^2-3n^2 / 6m+6n
lawyer [7]
1.
\dfrac{4x^{3}y^{4}}{-8xy^{2}}=\dfrac{4}{-8}\cdot x^{3-1}y^{4-2}=\dfrac{-x^{2}y^{2}}{2}

2.
\dfrac{3m^{2}-3n^{2}}{6m+6n}=\dfrac{3}{6}\cdot \dfrac{(m+n)(m-n)}{m+n}=\dfrac{m-n}{2}
3 0
3 years ago
I need help again.Here is the question, Distance = Rate x Time What was my rate of speed if it took me 3.5 hours to travel 210 m
Nimfa-mama [501]

Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

3 0
3 years ago
Prove that the diagonals of a rectangle bisect each other. the midpoint of is _____
Deffense [45]
In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals. 

8 0
2 years ago
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