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2 years ago

Write an exponential function in the form of y=ab^x passing through the points (0,6) and (2,96)

1 answer:

3 0

Here you have an equation with two unknown constants, a and b, plus 2 sets of points through which the graph goes.

Second point: 96 = a(b)^2
First point: 6 = a(b)^0 Then a = 6.

With a = 6, we can now write: 96 = 6b^2. Then b^2 = 16, and b=4.

Then y =6(4)^x (answer)

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The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball move

Thepotemich [5.8K]

Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t

Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0

Simplifying,
-16t² + 32.8t + 2 = 0

The values of t from the equation are 2.11 seconds and -0.059 seconds

Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.

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3 years ago

Laura used 12 1/2 square feet of cloth to make 3 dresses. How many square feet of cloth are required to make 12 similar dresses?

kumpel [21]

Answer: 50

Step-by-step explanation: 12 1/2 times 4 is 50

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2 years ago

Maya is packing her backpack for hike. In one pocket, she puts in a 1/2 pound bag of trail mix,a water bottle weighing 2 1/8 pou

Rudik [331]

Total weight of three items is 2.875 pounds

Solution:

Given that,

Maya is packing her backpack for hike

From given,

$pound\ bag\ of\ trail\ mix = \frac{1}{2}\ pounds$

$water\ bottle = 2\frac{1}{8}\ pounds = \frac{17}{8}\ pounds\\\\flashlight = \frac{1}{4}\ pounds$

How much weight do these three items add to her backpack?

Add all these together

$Total\ weight = \frac{1}{2} + \frac{17}{8} + \frac{1}{4}\\\\Total\ weight = \frac{1 \times 4}{2 \times 4} + \frac{17}{8} + \frac{1 \times 2}{4 \times 2}\\\\Total\ weight = \frac{4}{8} + \frac{17}{8} + \frac{2}{8}\\\\Total\ weight = \frac{23}{8} = 2.875$

Thus total weight of three items is 2.875 pounds

7 0

2 years ago

Chef Andy needed to adapt his recipes for his European kitchen staff in Paris. He was 1-pound portions of entrecote, 2 ounces

Ronch [10]

Answer:

1 pound = 0.454 kilograms

1 ounce = 0.0296 liters

1 ounce = 0.0283 kilograms

Step-by-step explanation:

You need to convert the quantities to their corresponding unit.

Convert pounds to kilograms (For the entrecote)

1 pound = 0.454 kilograms

Thus, 1 pound of entrecote = 0.454 kilograms

Ounces to liters (for the Béarnaise, since it is a liquid)

1 ounce = 0.0296 liters

2 ounces of Béarnaise = 0.0592 liters

Ounces to kilograms (for the asparagus)

1 ounce = 0.0283 kilograms

4 ounces of asparagus =0.1132 kilograms

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3 years ago

Round 74952 to the nearest 100

sweet-ann [11.9K]

Your answer is 75052

7 0

2 years ago