Answer:
The value of x is 49 and the value of AB is 90
Step-by-step explanation:
You know that AB and DE are congruent. That information is given to you.
You set the equations equal to each other and then solve.
2x - 8 = x + 38
Subtract x
x - 8 = 38
Add 8.
x = 49
Plug back into 2x - 8 to find the value of AB
2 times 49 - 8
98 - 8
90
Answer:
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.
9514 1404 393
Answer:
Dawn has $1670 in account 1 and $1570 in account 2.
Step-by-step explanation:
Dawn can multiply the second equation by 8 and add 7 times the first equation.
8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)
10A = 16,700
A = 1670
B = 1570 . . . . 100 less than A
Dawn has $1670 in account 1 and $1570 in account 2.
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<em>Check</em>
3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000
Answer:
Step-by-step explanation: how many frenis are there?
The answer would be 240 since you are only looking for surface area, which means you wouldn’t include the width