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g100num [7]
3 years ago
12

What is the scale factor in the dilation?

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

The scale factor of the given dilation is 3.

Step-by-step explanation:

Step 1:

In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.

Step 2:

So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.

The scale factor =\frac{9}{3} = 3.

So the scale factor is the third option 3.

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If Store B sells 12 bottles for $3.50... What is the price for 1 bottle at Store B?
Lena [83]

Answer:

0.29 cents a bottle at store B

Step-by-step explanation:

devide the price by the amount of products. called the unit price

4 0
3 years ago
Given f (X) = 4x +6 find f (x) = 54
Nikitich [7]

Answer:

x = 12

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 6

f(x) = 54

Step 2: Substitute variables

54 = 4x + 6

Step 3: Solve for <em>x</em>

<u>Subtract 6 on both sides:</u> 48 = 4x

<u>Divide both sides by 4:</u> 12 = x

Step 4: Check

<em>Plug in x to verify it is a solution.</em>

f(12) = 4(12) + 6

f(12) = 48 + 6

f(12) = 54

3 0
3 years ago
Read 2 more answers
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
if the first qaudrant is you start from is (11,10) nd move 7 left and 5 units down what pont will you end up on?
Grace [21]

Answer:

(4, 5 )

Step-by-step explanation:

Moving 7 left is in the x direction and means subtract 7 from the x- coordinate

Moving 5 down is in the y direction and means subtract 5 from the y- coordinate, that is

(11, 10 ) → (11 - 7, 10 - 5 ) → (4, 5 )

4 0
3 years ago
The opening course of the Dog Olympics involves the dogs running over a parabolic
Lemur [1.5K]

Answer:

x=13 feet

Step-by-step explanation:

A ramp is between 1.96 and 1.80 feet, we will take 1.96

If R(x) =-0.05x+0.8x and R(x)=1.96 feet: we apply quadratic formula; \frac{-b+-\sqrt{b^{2} -4ac} }{2a}, where a=-0.05, b=0.8 and c=-1.96, so

\frac{-0.8+-\sqrt{0.8^{2}-4*(-0.05)*(-1.96) } }{2*(-0.05)}, solving x_{1}=13 ; x_{2} = 3,02; we take the highest value of x, x=13

8 0
3 years ago
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