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3 years ago

A varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4. with solution

Mathematics

1 answer:

inn [45]3 years ago

5 0

Answer:

a=k/b squared when a=1,b=4 k=16

When b=4 a=1

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Jennifer owes $192 to a credit card company. She makes a $ 25 purchase with the card, and then pays $ 40 on the account. What

Alecsey [184]

Her current balance would be $177

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3 years ago

Read 2 more answers

F(n) = 2• (-3)^n

Mashutka [201]

Answer:

$f(1)=-6$

$f(n)=f(n-1)(-3)$

Step-by-step explanation:

We are given that

$f(n)=2\cdot (-3)^n$

We have to complete the recursive formula of f(n).

Substitute n=1

$f(1)=2\cdot (-3)$

$f(1)=-6$

$f(2)=2\cdot (-3)^2=18$

$f(3)=2\cdot (-3)^3=-54$

$\frac{f(2)}{f(1)}=\frac{18}{-6}=-3$

$\frac{f(3)}{f(2)}=\frac{-54}{18}=-3$

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

$f(n)=f(n-1)r$

$f(n)=f(n-1)(-3)$

7 0

3 years ago

Read 2 more answers

Which of the following is an example of the additive identity?

bulgar [2K]

Answer:

Option C is correct

a + 0 = a

Step-by-step explanation:

Additive identity:

For any real number x,

$x+0 = 0+x = x$

We have to find an example of the additive identity from the given options.

Option A.

a+(-a) = 0

Which does not follow the additive identity.

Option B.

a+0 = 0

which does not follow the additive identity.

Option C.

a+0 = a

this equation follows the additive identity.

Therefore,an example of the additive identity is, a + 0 = a

7 0

3 years ago

A lot contained 600 square yards and had a frontage of 40 feet. if the lot was rectangular in shape, what would be the length of

Paladinen [302]

A lot has area :A = 600 sq. yardsIt has a frontage of 40 feet. We have to calculate the length of the lot, if it was a rectangular in shape.Area of a Rectangle = Length x Width600 = L x 40L = 600 : 40L = 15 feetAnswer: The length of the lot measures 15 feet.

6 0

3 years ago

A x 4 = E

s2008m [1.1K]

A= 1/4E
B= 4E
C= E-4
D= E+4
A+B+C+D=100
25/4E=100
hence, E=16

4 0

4 years ago