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Tanya [424]
3 years ago
6

Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A

is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A...
Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

Step-by-step explanation:

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Anna [14]
The shaded areas add to 2/5 of the area of the circle, which is given by
  A = πr²

Then the shaded area is ...
  (2/5)A = (2/5)π(10 in)²
  shaded area = 40π in²

7 0
3 years ago
If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
Helen [10]

In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

Then the difference quotient is

\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h

=\dfrac{(2x+3)h+h^2}h=2x+3+h

where the last equality holds as long as h\neq0.

5 0
3 years ago
What operation does the Product Rule use
kumpel [21]

Answer:

addition

Step-by-step explanation:

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4 0
3 years ago
Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the
abruzzese [7]

Answer:

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

4 0
3 years ago
Read 2 more answers
How hard is 6th grade math?
Ulleksa [173]

Answer:

super easy i can help you whenever

Step-by-step explanation:

im in high and i had As in 6th

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3 years ago
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