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3 years ago

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45. Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cm' of water, what is the volume of the smaller one? A. 27

cm3 B. 125cm3 C. 135cm3 D. 208cm3 E. 490cm3

2 answers:

torisob [31]3 years ago

8 0

Answer:

c 135cm^3 is the correct answer

d1i1m1o1n [39]3 years ago

5 0

Answer:

Step-by-step explanation:

volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³

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Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)

ahrayia [7]

So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)

4 0

4 years ago

Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations

kati45 [8]

ANSWER

$g(x) = {(x + 5)}^{3} + 4$

EXPLANATION

Given the parent function:

$f(x) = {x}^{3}$

If we shift the graph of f(x), 5 units to the left, then the new rule is

$x \to \: {(x + 5)}^{3}$

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

$x \to \: {(x + 5)}^{3} + 4$

Or

$g(x) = {(x + 5)}^{3} + 4$

7 0

3 years ago

Please help me or i will fail

dusya [7]

Find area of square: 7^2 = 49

Find radius of circle: 7/2=3.5

find area of circle: 3.5^2*3.14=38.465

Remove area of circle from area of square:
49-38.465=10.535 cm^2

Answer A is the correct one :)

4 0

3 years ago

Pleasssseeee hellllpllllllppppp???????

olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = $\sqrt{\frac{x}{3}}$

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3( $\sqrt{\frac{x}{3}}$ )²

→ Cancel the square root with power 2

∴ f(g(x)) = 3( $\frac{x}{3}$ )

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = $\sqrt{\frac{3x^{2}}{3}}$

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = $\sqrt{x^{2}}$

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0

3 years ago

In the drawer you have 8 black socks and 5 yellow socks, if you pick 2 socks what is the probability that pick out a black sock

Nataliya [291]

Answer:

10/39

Step-by-step explanation:

The chances of picking a black sock on first try are 8/13, and the chances of picking out a yellow sock without replacing the black sock are 5/12. If you multiply 8/13 and 5/12, you get 40/156, and if you simplify, you will get 10/39 as your answer.

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3 years ago