1. Write the expression:
(1.75 x 10^)(1.2 x 102)
2. Rearrange the expression: (1.75 X 1.2)(104 x 103)
3. Multiply the coefficients: (2.1)(104 x 103)
4. Apply the product of powers: 2.1 x 104
The rocket ship will travel 2.1 x 109 miles. What is the value of y in the solution?
y = 1

Complete question is;

A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?

1. Write the expression:       (1.75 × 10⁴)(1.2 × 10²)

2. Rearrange the expression:     (1.75 × 1.2)(10⁴ × 10²)

3. Multiply the coefficients:      (2.1)(10⁴ × 10²)

4. Apply the product of powers:    2.1 × 10^(y)

The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?

Answer:

Distance travelled by rocket ship = 2.1 × 10^(6) miles

y = 6

Step-by-step explanation:

1. The written expression;

(1.75 × 10⁴)(1.2 × 10²)

2. The rearranged expression is;

(1.75 × 1.2)(10⁴ × 10²)

3. Let's multiply the coefficient which is the first bracket to get;

2.1(10⁴ × 10²)

4. Applying the product of powers means we will add the powers of ten which are 4 and 2.

Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles

Comparing to 2.1 × 10^(y), we have;

y = 6

1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other.

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What do you notice about this segment of the graph?
Bake Stars' Oven Temperature as a function of Time
The line on the graph
slopes up.
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Temperature (°F)
375
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The temperature is
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The segment is linear.
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