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Scilla [17]
3 years ago
8

A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5

Mathematics
1 answer:
RideAnS [48]3 years ago
6 0

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

You might be interested in
Which statements about the local maximums and minimums for the given function are true? Choose three options.
Nostrana [21]

Answer:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Step-by-step explanation:

The true statements are:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.  

Lets discuss each option one by one:

Over the interval [1, 3], the local minimum is 0

This is a false statement. Look at the graph. The minimum point given is (3.4,-8). Therefore the local minimum is -8 not 0

Over the interval [2, 4], the local minimum is –8.

This statement is true because the given minimum point is(3.4, -8). Thus the  local minimum is -8 which is true

Over the interval [3, 5], the local minimum is –8.

According to the given minimum point, the local minimum  is -8 which is true

Over the interval [1, 4], the local maximum is 0.

Look at the graph. The maximum point given is (2,0). Thus this statement is true because local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

This is a false statement because there is no maximum point

8 0
3 years ago
Read 2 more answers
What is the pennys place in a number?
deff fn [24]
It is 1 because a penny is worth 1 cent.
6 0
3 years ago
Read 2 more answers
Tyger is trying to eat less sugar in his diet.He reduces his sugar intake from 15 spoons a day to 9 1/2 spoons a day. What is th
seraphim [82]

Answer:the percentage decrease is 36.67%

Step-by-step explanation:

Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.

Percentage decrease would be expressed as

Amount by which the intake decreased/ initial intake × 100

It becomes

5.5/15 × 100 = 36.67%

8 0
3 years ago
Rodrigo practiced playing the guitar for 15 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours during the first week
Yuri [45]
Add up the sum and divide.

Practice Chart
1st Week: 6.25 Hours
2nd Week: 4.66 Hours
3rd Week: 15.33 - (1st Week + 2nd Week) 

Solve:
6 1/4 + 4 2/3 = 10 8/12 or 10 2/3

15 1/3 - 10 2/3
14 4/3 - 10 2/3
4 2/3 hours practiced third week

Hope this helps!
3 0
3 years ago
One number is 6 more than another. the difference between their squares is 192. what is the numbers?
Masteriza [31]
Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192

expanding we get;

x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13

the numbers are 13 and 19.

hope this helps, God bless!
7 0
3 years ago
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