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3 years ago

A person's heart rate is 65 beats per minute at rest. It increases by 12 beats per minute for each of

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

The heartbeat per minute is 137 i used calculator

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For the function f(x)

WITCHER [35]

Given:

The function is

$f(x)=\dfrac{8\sqrt[3]{x}-8}{9}$

To find:

The inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\dfrac{8\sqrt[3]{x}-8}{9}$

Step 1: Putting f(x)=y, we get

$y=\dfrac{8\sqrt[3]{x}-8}{9}$

Step 2: Interchange x and y.

$x=\dfrac{8\sqrt[3]{y}-8}{9}$

Step 3: Isolate variable y.

$9x=8\sqrt[3]{y}-8$

$9x+8=8\sqrt[3]{y}$

$\dfrac{9x+8}{8}=\sqrt[3]{y}$

Taking cube on both sides, we get

$\left(\dfrac{9x+8}{8}\right)^3=y$

$y=\left(\dfrac{9x+8}{8}\right)^3$

Step 4: Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3$

Therefore, the correct option is C.

4 0

2 years ago

Type of Desserts Number of Students

Leto [7]

if the picture was bigger i would be able to help could u get it a bit bigger

3 0

2 years ago

Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily

Nikitich [7]

Hi
Here is you answer mate
But don’t forget to mark me the brainliest

Plug the applicable numbers into the compound interest formula and see which is more.
A = p(1+r/n)nt
A = future amount
p =principal investment
r = interest rate as a decimal
n = number times compounded per year
t = time in years

A = 5000(1+.0743/365)365(10)
= 5000(1.000203562)3650 = $10,510.38

A = 5000(1+.075/4)4(10)
= 5000(1.01875)40 = $10,511.75

As you can see these are practically equal, but the 7.5% quarterly is more.

3 0

2 years ago

Nigel flips a coin 50 times and records whether it lands on heads or tails. What is the experimental probability that the coin w

iren [92.7K]

Hope this helps you..!