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JulsSmile [24]
3 years ago
10

On a vacation trip to Canada you realize that the speed limit signs are in km/hour. Unfortunately, your speedometer only reads i

n mph. How fast are you allowed to go if the speed sign says 120 km/hr (rounded to the nearest tenth) ?
Mathematics
2 answers:
Mrac [35]3 years ago
4 0

Answer: 74.6 miles per hour

Step-by-step explanation:

I mile per hour equals 1.609 kilometers per hour. The formula to solve the speed limit is to divide 120 by 1.609.

120/1.609 = 74.6 miles per hour

Annette [7]3 years ago
3 0

Answer:

120 km is 74.56 miles so just round that

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Use the function below to find F(2).<br> F(t) = 2•1/2^3t
navik [9.2K]

Answer:

F(2)= \frac{1}{32}

Step-by-step explanation:

The given function is

F(t) = 2 \cdot \:  \frac{1}{{2}^{3t} }

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

F(2) = 2 \cdot \:  \frac{1}{{2}^{3 \times 2} }

We multiply the exponent in the denominator to get:

F(2) = 2 \cdot \:  \frac{1}{{2}^{6} }

We evaluate to get:

F(2) = 2 \cdot \:  \frac{1}{64}

We now cancel the common factors to get:

F(2) = \frac{1}{32}

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Determine whether each expression is equivalent to
larisa [96]

The algebraic expressions, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y and 5x + 3 are equivalent to 2x + 4y - 5 + 3x + 8 - 4y

To determine whether each expression is equivalent to 2x + 4y - 5 + 3x + 8 - 4y, apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify 2x + 4y - 5 + 3x + 8 - 4y as follows:

Add like terms

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3

Next, compare or simplify where necessary each of the given algebraic expressions with 5x + 3

<em><u>First Option</u></em>

x + x + y + y + y + y - 5 + x + x + x + 8 - 4y

Add like terms together

2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3

Therefore, x + x + y + y + y + y - 5 + x + x + x + 8 - 4y is equivalent to 2x + 4y - 5 + 3x + 8 - 4y

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<u><em>Second Option:</em></u>

<u><em /></u>6xy + 3 - 4y<em> (cannot be simplified further)</em>

<em />6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<em><u>Third Option:</u></em>

<em><u /></em>-8y + 5x - 3<em><u> </u></em><em>(cannot be simplified further)</em>

<em />-8y + 5x - 3 \neq  2x + 4y -5 + 3x + 8 - 4y<em />

Therefore:

  • <em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<u><em>Fourth Option:</em></u>

<u><em /></u>5x + 3<u><em /></u>

<u><em /></u>5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y<u><em /></u>

Therefore:

  • <em><u>Check the box for </u></em><em><u>YES.</u></em>

<em><u></u></em>

Thus, the algebraic expressions that are equivalent to  2x + 4y - 5 + 3x + 8 - 4y are:

  • x + x + y + y + y + y - 5 + x + x + x + 8 - 4y
  • 5x + 3

Learn more about algebraic expressions here:

brainly.com/question/15122459

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Answer:

4 and -4

Step-by-step explanation:

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The Phase Shift is how far the function is shifted horizontally from the usual position.
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