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3 years ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Step-by-step explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

⇒ 6 = k (72)

⇒ $K = \frac{6}{72} = \frac{1}{12} = 0.0833$

Case(ii):-

Given a = 8.3

a = k b

⇒ 8.3 = 0.0833 ×b

⇒ $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639

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Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$

Step-by-step explanation:

We know that a general exponential function is like, $y=a(b)^{x}$

We can find the answer by hit and trial method by plugging the values of $(x,y)$ coordinates.

Here we are going to solve this with the above general formula.

So as the points are $(1,16)$ then for $x=1,\ y=16$

Can be arranged in terms of the general equation.

$ab^1=16$ ...equation(1) and $ab^4=128$ ...equation(2)

$a\times b=16, then\ a=\frac{16}{a}$

Plugging the values in equation 2.

We have

$\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2$

Plugging $b=2$ in equation 1.

We have $a=\frac{16}{b} =\frac{16}{2} =8$

Comparing with the general equation of exponential $a=8$ and $b=2$

So the function which depicts the above points = $y=8(2)^x$

From theoption we have B as the correct answer.

7 0

3 years ago

Jack divided his fortune of 92,000 into 8 equal parts. he gave 4 parts to his wife, 1 part to his son and divided the last 3 par

trasher [3.6K]

Answer: 4600

Step-by-step explanation:

Jack divided his fortune of 92,000 into 8 equal parts. This means a part will be equal to:

(92000 ÷ 8) = 11500.

He gave 4 parts to his wife. This means his wife has:

(11500 × 4) = 46000.

1 part to his son means that his son has: (1 × 11500) = 115000.

He gave the last 3 parts and evenly it among 5 charities. This means:

(3 × 11500) = 34500 was shared among 5 charities. Each charity will get: (34500 ÷ 5) = 6900

To calculate how much more money did his son get than the charities will be:

11500 - 6900 = 4600

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3 years ago

How do you do Pythagorean theorem

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A squared + b squared = c squared

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3 years ago

What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus Sta

antiseptic1488 [7]

Answer:

y = 6

Step-by-step explanation:

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