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Vlada [557]
3 years ago
5

Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

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Which logarithmic equation is equivalent to the exponential equation below? E^a=60
Gala2k [10]

Answer:

B

Step-by-step explanation:

e is the base of the natural log system.

take the natural log of both sides.

ln(e^a) = ln(60)                      The power can come down

a ln(e) = ln(60)                       The natural log of e = 1

a * 1 = ln (60)

a = ln(60)  

8 0
3 years ago
Question 17
Rufina [12.5K]

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

8 0
3 years ago
The width of a rectangle is 3 cm less than the length.The area of the rectangle is 10cm^2. Write an equation that models the sit
ludmilkaskok [199]

Answer:

width is 2 and length is 5

Step-by-step explanation:

7 0
3 years ago
H=10 cm<br>T = 7 cm<br>A. Calculate the volume of the cylinder​
Brut [27]

Answer:

 70cm

Step-by-step explanation:

8 0
3 years ago
Select the appropriate linear equation for the trend line.
Maksim231197 [3]

Answer:

A y = x + 1

Step-by-step explanation:

The line starts at 1 on the y-axis so the u intercept will be 1

4 0
2 years ago
Read 2 more answers
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