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3 years ago

A certain isotope decays so that the amount A remaining after t years is given by:

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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Is -128/5 a terminating or repeating decimal??

hjlf

Answer:

terminating

Step-by-step explanation:

-128 / 5 = -25.6

-25/6 is terminating because it has an end. a repeating decimal on the other hand goes on forever, like 3.33333...

4 0

2 years ago

The circumference of a circle is 6 inches. What is the area of the circle?

Lubov Fominskaja [6]

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is $2\pi r$ ).

$6\div2=3$

So the radius is 3.

Now that we know the radius, we can find the area by using the equation $\pi r^2$ .

$\pi 3^2\\\pi9\\9\pi$

Hope this helped!

3 0

2 years ago

Read 2 more answers

Find the probability of atleast three successes in six trials of a binomial experiment in which the probability of success is 50

yan [13]

The binomial cumulative probability with p=0.5 for 3+ successes is as follows:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}p^k(1-p)^{6-k}$

for p=0.5 (50% success rate) it becomes:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}0.5^6=\frac{21}{32}=0.65625$

the probability is 0.65625, or about 66%

7 0

2 years ago

He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.

noname [10]

Bicycle has 2 wheels and 2 pedals
tricycle has 3 wheels and 2 pedals

EQ 1 : 2b + 2t = 170 pedals

EQ 2: 2b +3t = 206 wheels

subtract EQ 1 from EQ 2

2b +3t = 206 - 2b + 2t = 170 = t=36

there were 36 tricycles

36 x 2 = 72 pedals

170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles

36 Tricycles and 49 bicycles

8 0

3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .