Evaluate the function g(x) = 8x + 16 when x = -3,0, and 8. g(-3) = ) 0 g(0) = 9(8) =

Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses.

alexgriva [62]

Answers:

a. $\frac{2}{5}$ liters/glass

b. 0.4 liters/glass

c. 400 ml/glass

Explanation:

Part a:

We are given that two bottles each holding 2 liters of soda

This means that the total amount of soda = 2 * 2 = 4 liters

To get the amount of soda in each glass, we will simply divide the amount of soda by the number of glasses (given the number of glasses is 10)

Therefore:

Amount of soda in each glass = $\frac{4}{10} = \frac{2}{5}$ liters/glass

Part b:

We are now asked to express the amount in fraction. The simplest way to do this is to make the denominator a multiple of 10. The number of zeroes in the denominator will be equal to the number of digits after the decimal point

Therefore:

$\frac{2}{5}=\frac{4}{10}=0.4$ liters/glass

Part c:

Now, we know that 1 liter is equivalent to 1000 ml

Therefore:

0.4 liters = 0.4 × 1000 = 400 ml/glass

Hope this helps :)

6 0

4 years ago

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paul deposited 1,200$ into an account that earns 1.5% in annual simple interest. If paul does not make any deposites or withdraw

aliina [53]

1236.27 is the correct answer

5 0

3 years ago

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Describe the transformation from the parent function to the function g(x)=2 times 3^x-4

azamat

Answer:

Step-by-step explanation:

The parent function of g(x) = 2*3^x-4 would be 3^x

The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)

The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.

The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.

6 0

3 years ago

e. 2y(y + 3)this is not a quiz it is an assignment that is due tomorrow and I Wil be grateful for anyhelp

Elena-2011 [213]

We need to multiply

$-2y(y+3)$

We need to use the distributive property to expand this:

$a(b+c)=ab+ac$

Let's multiply it out using this property, to get our answer:

$\begin{gathered} -2y(y+3) \\ =-2y(y)+(-2y)(3) \\ =-2y^2-6y \end{gathered}$

6 0

2 years ago

The cylinders are similar the volume of the larger cylinder is 9648 cubic inches what is the volume of the smaller cylinder

olga nikolaevna [1]

To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.

Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.

9648/2=4824
4824/2=2412
2412/2=1206 cubic inches

The volume of the smaller container is 1206 cubic inches.

3 0

3 years ago

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