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MrRissso [65]
3 years ago
7

A group of hikers is descending a mountain at a rate of 400 feet per hour. What is the change in the elevation of hikers after 6

hours
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
After 6 hours they have descended 6×400 = 2400 feet. The change in elevation is -2400 feet.
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Can anyone solve this
Minchanka [31]
E because 8*8=64 so 8/49*8/49 = 64/49
8 0
3 years ago
After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms
Anton [14]

Answer:

  • k = 0.006
  • T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

  (31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

  (t/35)ln(31/38) = -kt

  k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

  k ≈ 0.006

Using this in the equation for temperature, we have ...

  T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

  T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

  T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0
2 years ago
Write an equation in slope-intercept form of the line shown.
7nadin3 [17]

Answer:

y = 2x - 5

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in y = mx + b

-3 = (2)(1) + b

-3 = 2 + b

Subtract 2 from both sides

-3 - 2 = 2 + b - 2

-5 = b

b = -5

Plug in the value of m and b into the slope-intercept form equation, y = mx + b.

Thus:

y = 2x +(-5)

✅y = 2x - 5

5 0
3 years ago
What is r in this equation? <br>πr^2=42π
kupik [55]
R in this equation refers to the radius

{\pi r}^{2}  = 42\pi \\  {r}^{2}  =  \frac{42\pi}{\pi}  \\ r =  \sqrt{42 } \\ r = 6.480740698
4 0
3 years ago
What is the translation shown in the graph?
ASHA 777 [7]

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

4 0
3 years ago
Read 2 more answers
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