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MakcuM [25]
3 years ago
14

The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend.

The ratios for the three days were equivalent.
Mathematics
1 answer:
EastWind [94]3 years ago
3 0
We are given:

The ratios of the number of hybrid vehicles to the total number of vehicles in the lot over a weekend (3 days) are equivalent. 

This means that if on day 1, 100 hybrid cars parked and there are 300 cars in total, the ratio is 1 is to 3.

Therefore, on day 2 and 3, we can determine the number of hybrid cars parked given the total number of cars parked using the ratio, and vice versa. 
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Given the two functions, which statement is true?
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

8 0
3 years ago
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
myrzilka [38]

Answer:

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6 0
3 years ago
Why does an enzyme function as a catalyst in a reaction?
Katyanochek1 [597]
I believe the answer would be B. Catalysts lower the activation energy. 
4 0
3 years ago
(HELP) The point (- 8, - 2) is on the parent graph below. Where will it be on the transformed graph?
olga2289 [7]

Answer:

   x=\frac{y2 }{9}

Step-by-step explanation:

2nd step: 3\sqrt{x}=y

third step: \frac{3\sqrt{x} }{3} = \frac{y}{3}

fourth step: \sqrt{x} =\frac{y}{3}

answer:    x=\frac{y2 }{9}

4 0
3 years ago
Simplify to an expression of the form (a sin(θ)).<br> 2sin(/8)2cos(/8)
rjkz [21]

Answer:

Your expression equals 2 \sin(\frac{\pi}{4}) assuming the problem was to simplify 2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8}) to the form a\sin(\theta).

Step-by-step explanation:

2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})

2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})

Let's use the following identity: 2\sin(A)\cos(A)=\sin(2A)

2\sin(2 \cdot \frac{\pi}{8})

2 \sin(\frac{\pi}{4}) which is comparable to the form a\sin(\theta).

a=2

\theta=\frac{\pi}{4}

5 0
3 years ago
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