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nignag [31]
2 years ago
8

The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount

plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.
Mathematics
2 answers:
Sindrei [870]2 years ago
5 0

Answer:

Cumberland and Lincoln


rusak2 [61]2 years ago
3 0

Answer: A. Cumberland and Lincoln

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David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s
AURORKA [14]

Answer: We can arrange the steps with help of below explanation.  

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where D\in AC

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C  

In the triangle BCD, from the definition of sine:

sin C =BD  / a

BD = a sin C  

In the triangle ADB, applying the Pythagorean Theorem

c^2  =BD^2 +DA^2  

Substituting for BD and DA from (2) and (3)

c^2 =(asinC)^2 +(b-acosC)^2  

⇒c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C   ( On simplification)

⇒c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C

⇒c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC

⇒c^2 = a^2+b^2-2abcosC (because,sin^2\theta+cos^2\theta =1 )


3 0
2 years ago
If the parent function is y = 3x, which is the function of the graph? y = 0.5(3)x y = 2(3)x y = −2(3)x y = −0.5(3)x
german

Answer: If I remember correctly, the answer should be <em>y=-2(3)^x.  </em>

7 0
1 year ago
How many possible outcomes, including both main effects and interaction effects, are possible for a factorial design with three
KIM [24]
Your answer will be <span>8</span>
7 0
2 years ago
 how do i slove  5/9v+w=z, for v
nekit [7.7K]
Okay, let's do this~

we want v isolated on one side so let's bring w over through subtraction

now we have 5/9v=z-w

now, to get rid of that fraction attached to v, we will multiply it's reciprocal on both sides.

*the reciprocal of 5/9 is 9/5

(5/9) x (9/5) cancel each other leaving v isolated to the left

the other side should look like this 9/5(z-w)

now we put both parts together to end up with:

v= 9/5(z-w)

there you go! :D

 
3 0
1 year ago
Maury and Tyra are making phone calls to state representatives' offices to lobby for an issue. Muary can call all 120 state repr
oee [108]
Maury = 120/10 (12 calls/hour)
Tyra = 120/8 (15 calls/hour)

Together they are 27 calls per hour.
120 / 27 = 4.4444444444

So it'd take them 4.44444444 (recurring) hours to make 120 calls.
6 0
1 year ago
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