The spherical container has a radius of 21 cm. What is the approximate volume of the container?
Use 3.14 to approximate pi and express your answer in hundredths.
cm3
Answers
Volume = 4/3 (π x r^3)
Substituting the given values, we have:
Volume = 4/3 (3.14 x 21^3)
Volume = 38772.720 cm^3
Thus, the approximate volume of the container is 38772.720 cm^3.
Answer:because it’s a spherical container, and you’re looknng for the volume, the correct answer is 38772.720
Step-by-step explanation:
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51.66 the 6 in the tenths place is _______ the value of the 6 in the hundredths place
Rita has deposited $1000 in a bank account. At the end of each year, the bank posts interest to her account in the amount of 5% of the balance, but then takes out a $10 annual fee.
Simplify:4sqrt400/4sqrt5. Show your work.
What is the missing value?
Answers
we have
Step
Let
y=f(x)
Exchange the variable x for y and variable y for x
Clear variable y
Multiply by both sides
Let
therefore
the answer is
the inverse of the function is
the missing value is
Answer:
The Given function is
y= x + 10
To find the inverse of function , we use the following procedure
x=y-10
Now, replace x by y and y by x, we get the inverse of function
y=x -10 , is the inverse of the function, y=x+10.
As, it is given that inverse of f(x) is h(x)
Also, h(x)= 2 x - k-------(1)
Inverse of f(x)=x+10 is ,y= x-10, that is 2 y=2 x- 20------(2)
Comparing 1 and 2, gives
h(x)=2 y
-k=-20
k=20
Answers
The way I like to do these is like this ... without algebra:
-- If the 54 were split up into three equal pieces,
each piece would be 1/3 of 54 = 18 .
-- Can you take three equal size-18 pieces and change them in
such a way that they're all different but their sum doesn't change,
and they still add up to 54 ?
-- How about like this:
Take 2 away from one piece and glue it onto a different one.
Now they still make the same 54 when you put them all into the same pot.
But now they're all different ... instead of 18, 18, 18, now you have 16, 18, 20.
Look ma ! No algebra !
x+2 = middle
x+4 = largest
x + x+2 + x + 4 = 54
Combine like terms to get 3x + 6 = 54
Subtract 6 (both sides) -6 -6
3x = 48
divide by 3 (both sides) 3 3
x = 16 (smallest even number) x+2 = 18 (middle even number and x+4 = 20 (largest even number) Add them up 16+18+ 20 and sure enough, you get 54
Answers
Answer: 5572.45 cubic feet
Work Shown:
Use the surface area to determine the radius.
SA = 4*pi*r^2
1519.76 = 4*3.14*r^2
1519.76 = 12.56*r^2
r^2 = 1519.76/12.56
r^2 = 121
r = sqrt(121)
r = 11
The radius of the sphere is 11 feet.
Now we can determine the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*3.14*11^3
V = 5572.45333333333
V = 5572.45
The volume of the sphere is approximately 5572.45 cubic feet.
The result is approximate because pi = 3.14 is approximate.
Answers
p1 can paint hours in 10 hours, so 1/10 house per 1 hour
p2 can paint house in 6 hours so 1/6 house per 1 hour
if both start at 8:00, when finish??
find how many hours they take
1 hour=p1+p2=1/10+1/6
just add 1/10 and 1/6 and see how many to get 1/1 house done
1/10+1/6=3/30+5/30=8/30=4/15
xhours times 4/15=1
multiply both sides by 15/4 to clear fraction
xhours =15/4
xhours=3 and 3/4
they take 3 and 3/4 hours aka 3 hours and 45 mins so
8:00+3:45=11:45
they finish at 11:45 AM
A. –2
B. –1
C. 1
D. 2
Answers
The input value that produces the same output value in both charts is 2.Option D is the correct answer.
What are functions ?
A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.
Functions have wide usage and comes with a defined domain and range.
It is given in the question that there are two functions
Function(x) = -0.5x+2
g(x) = 2x-3
It has different values at different points.
The value at which both the functions have same value has to be determined.
To determine that lets equate both the functions
-0.5x +2 = 2x-3
2.5x = 5
x = 2
Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.
To know more about Function
#SPJ2
Answer:
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
Step-by-step explanation:
We are given a function f(x) and g(x) as:
and
Clearly the function g(x) and f(x) are linear function.
We have to find such input value that gives the same output value for the function.
i.e. we have to find x such that:
g(x)=f(x)
i.e. -0.5x+2=2x-3
⇒ 2x+0.5x=2+3
⇒ 2.5x=5
⇒ x=5/2.5
⇒ x=2
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
B:X=-11 and X=1
C:X=11 and x= -1
D:x=-11 and x=-1
I need help asap it’s algebra 2 please help!
Answers
Answer:
it too hard
Step-by-step explanation:
4×5x=24
5x=24÷4
5x=6
x=6÷5
x=1.2