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Pie
2 years ago
15

I need help solving this question. A large company is considering installing charging stations for electric cars in their compan

y parking lots. Suppose that 1.5% of employees at the main office have electric cars and 2% of employees at the branch office have electric cars.

Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

Answer:

C; right answer on Khan Academy

Step-by-step explanation:

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Which method(s) can be used to solve a system of equations? Select all that apply. distributing graphing substitution formulas a
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3 years ago
Please help me answer for 35 and 36
dexar [7]

Answer:

35. f(2)=16

36. f(2)=77

Step-by-step explanation:

Question 35:

Given:

f(1)=32

f(n)=f(n-1)\times \frac{1}{2}

Plug in 2 for n and simplify. This gives,

f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16

Therefore, term 2 is 16.

Question 36:

Given:

f(1)=11

f(n)=f(n-1)\times 7

Plug in 2 for n and simplify. This gives,

f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77

Therefore, term 2 is 77.

8 0
3 years ago
What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?
Svetllana [295]

Answer:

The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15

Step-by-step explanation:

<u>Given</u>

equation: x - 2/3y = 30

when y = 15

<em>Plug in y:</em>

1/5x - 2/3(15) = 30

1/5x - 10 = 30

<em>add</em> 10 to both sides,

1/5x - 10 + 10 = 30 + 10

1/5x = 40

<em>multiply</em> both sides by 5

1/5x * 5= 40 * 5

x = 200

7 0
2 years ago
Read 2 more answers
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
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