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vredina [299]
3 years ago
13

Please help; I have no idea how to solve this!! The temperature in degrees Celsius (C) can be converted to degrees Fahrenheit (F

) using the formula F(C)= 9/5C+k, where k is a constant. Find k, if to C=−40°C corresponds F=−40°F.
Mathematics
1 answer:
lana [24]3 years ago
8 0

Answer:

32

Step-by-step explanation:

-40 = (9/5)(-40) + k

-40 = -72 + k

k = -40 + 72

k = 32

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Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

6 0
3 years ago
The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(
SVEN [57.7K]

d = 3 , a₁₂ = 40 and Sx_{100} = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• an = a₁ + (n-1)d</h3><h3>• S_n = \frac{n}{2}[2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = \frac{50}{2}[(2×7) +(99×3)</h3><h3>       = 25(14 + 297) = 25(311)= 7775</h3>
7 0
2 years ago
What are the steps to get 1/7
madreJ [45]

1/7 is your answer. It can't be reduced any further. If there is supposed to be a problem, next time, add it.

8 0
2 years ago
A number minus 8 is at least 14
Serhud [2]

Answer:

22

Step-by-step explanation:

just add 8 to 14, then there is your number that would equal 14 if 8 was subtracted from it

6 0
3 years ago
Read 2 more answers
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
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Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2  

V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0
3 years ago
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