A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer 1

Answer:

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!

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The scientific notation 3.14 x 10 -3 has what value? 0.000314
0.00314
0.0314
0.314

Answers

3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140

From 3140. decimal move to the left 3.140

ladt month you used 125 minutes and your bill was $37.50. this month you used 175 minutes. how much was will your home phone bill be this month

Answers

Answer: $52.5

Step-by-step explanation:

Given : Last month you used 125 minutes and your bill was $37.50.

i.e. Charges for each minute used = $(37.50)/(125)=\$0.3$

i.e. it charges $0.3 for each minute home phone used.

If this month you used 175 minutes.

Then , your this month's home phone bill will be :-

$175*0.3=\$52.5$

Hence, you month home phone bill will be $52.5 .

so 37.50/125=0.3

0.3*175=52.5

so his bill is $52.50

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?

Answers

25% because u have to divide the diameter of the logo to get the radius.

Why is the answer to 12x12 the same as 6x24?

Answers

Both sets of numbers have the same factors:

12 × 12:

= (2× 2× 3) × (2 × 2 × 3)

= 2^4 × 3^2

6 × 24

= (2 × 3) × (2 ×2 × 2 × 3)

= 2^4 × 3^2

Answer:

Factors

Step-by-step explanation:

They have the same factors

12x12

6x24

12/2=6

12x2=24

12x12=6x24

what is the probability that all 3 students selected has a course grade odf an a and did at leadt 30 mins of homework each night?