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Annette [7]
2 years ago
6

8. If a conditional is true and its hypothesis is true, then its_____ is true.

Mathematics
1 answer:
barxatty [35]2 years ago
5 0
Answer: Conclusion

If a conditional is true and its hypothesis is true, then its conclusion is true.
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After collecting the variables on the left side of the equation, the coefficient of the x term will be?
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Answer:

56

Step-by-step explanation:

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In a scale drawing of Samantha's apartment, the ratio is 1 in = 3 ft. The length of the living room on the drawing is 6 in and t
erastova [34]
First, multiply 6 in by 3 to get 18 ft as the length of the living room.
6•3=18

Next, multiply 5 in by 3 to get 15 ft as the width of the living room.
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Then multiply 18 by 2 and 15 by 2 and add the products together.
(18•2)+(15•2)=66

This makes the answer 66 ft.
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Please help :> 1 mL = 1 cubic meter. How many cubic centimeters are in an 8.00oz bottle of cough medicine. (1.00oz=29.6mL) I'
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6 0
3 years ago
Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the sto
Sidana [21]

Answer:

f(x)=8500\sin\left(\frac{\pi}{6}\left(x-1\right)\right)+33500

Step-by-step explanation:

Given information:

Maximum revenue = 42000

Minimum revenue = $25000

Time period = 12 months

We need to write a function that models the boutique's revenue during the year, where corresponds to the month.

f(x)=Asin(B[x-C])+D           .... (1)

where, A is amplitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

A=Amplitude =\frac{Maximum-Minimum}{2}\Rightarrow \frac{42000-25000}{2}=8500

D=midline =\frac{Maximum+Minimum}{2}\Rightarrow \frac{42000+25000}{2}=33500

Period=\frac{2\pi}{B}

12=\frac{2\pi}{B}\Rightarrow B=\frac{\pi}{6}

Substitute the value of A, B and D in equation (1).

f(x)=8500\sin\left(\frac{\pi}{6}\left(x-C\right)\right)+33500         ..... (2)

In April, revenue of the store is $42000. So, the graph passes through the point (4,42000).

42000=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)+33500

42000-33500=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

8500=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

Divide both sides by 8500.

1=\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

\sin \frac{\pi}{2}=\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

On comparing both sides we get

\frac{\pi}{2}=\frac{\pi}{6}(4-C)

3=4-C

C=4-3

C=1

Substitute the value of C in equation (2).

Therefore, the required function is f(x)=8500\sin\left(\frac{\pi}{6}\left(x-1\right)\right)+33500.

5 0
3 years ago
The countin numbers and their opposites, along wit zero are ?
oee [108]

Answer:

is there more to the problem?

Step-by-step explanation:

6 0
4 years ago
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