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Colt1911 [192]
3 years ago
6

A bag contains pennies and nickels. You are given the number of pennies in the bag

Mathematics
1 answer:
stira [4]3 years ago
6 0
There are 3 nickels because if you use the ratio 6 to 1 you multiply 6 by 3 to get 18 pennies and you do the same with the one and that’s how I got 3 nickels.
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If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
Olin [163]

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

5 0
3 years ago
Help me please with this question
Schach [20]
The answer is B
you have to find the cubic roots of 27 and 729 to find the side lengths of the cubes. The first one has a side length is 3, and the second one has a side length of 9 which s 3x larger.
pls make me brainliest ! ;-)
5 0
3 years ago
Read 2 more answers
1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

7 0
3 years ago
Solve for x:<br> 2(5 – 3x) &lt; x - 4(3 - x)
Setler [38]

Answer: x > 2

Step-by-step explanation: PLEASE GIVE BRAINLIEST HELPS A LOT

6 0
3 years ago
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