This morning, Sam walked 6 kilometers in 50 minutes. At what rate did Sam walk? Use the formula r=d/t where r, is the rate, d is the distance, and t is the time. (1 point) Responses 0.12 kilometers per minute 0.12 kilometers per minute 8.33 kilometers per minute 8.33 kilometers per minute 56 kilometers per minute 56 kilometers per minute 300 kilometers per minute

Question

Ed spoke to his cousin in Australia, who told him it was 25°C that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. Use the formula F=9/5C+32 where F is degrees Fahrenheit and C is degrees Celsius. What is the temperature in degrees Fahrenheit? NOTE: Enter the number of degrees Fahrenheit in the box in order for this problem to be scored correctly. (1 point)
The power 4^3 is equivalent to 6464 . What is the value of 4^−3 ?(1 point) Responses −64 −4 1/64 1/4
Which statement describes what these four powers have in common? 4^0 (−2)^0 (1/3)^0 9^0 (1 point) Responses All the powers have a value of 1 because the exponent is zero. All the powers have a value of 1 because the exponent is zero. All the powers have a value of –1 because the exponent is zero. All the powers have a value of –1 because the exponent is zero. All the powers have a fractional value because the exponent is zero. All the powers have a fractional value because the exponent is zero. All the powers have a value of 0 because the exponent is zero.

Answer 1

Let's go through each problem step by step.

1. Finding Sam's walking rate:

   • We use the formula \( r = \frac{d}{t} \).
   • Sam walked \( d = 6 \) kilometers in \( t = 50 \) minutes.
   • Thus, \( r = \frac{6 \text{ kilometers}}{50 \text{ minutes}} = 0.12 \) kilometers per minute.

   Answer to the first question: 0.12 kilometers per minute

2. Converting 25°C to Fahrenheit:

   • We use the formula \( F = \frac{9}{5}C + 32 \).
   • Plugging in \( C = 25 \): \[ F = \frac{9}{5} \times 25 + 32 = 45 + 32 = 77 \] Answer to the second question: 77 degrees Fahrenheit

3. Finding the value of \( 4^{-3} \):

   • The expression \( 4^{-3} \) is the reciprocal of \( 4^3 \).
   • We know \( 4^3 = 64 \), so \( 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \).

   Answer to the third question: 1/64

4. Identifying what the four powers have in common:

   • All the powers provided ( \( 4^0 \), \( (-2)^0 \), \( (1/3)^0 \), and \( 9^0 \) ) evaluate to \( 1 \) because any non-zero number raised to the power of zero equals 1.

   Answer to the fourth question: All the powers have a value of 1 because the exponent is zero.

I hope this summarizes everything clearly!