A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.

Mathematics

2 answers:

guapka [62]3 years ago

6 0

The answer is 3/12 good luck

Vladimir79 [104]3 years ago

3 0

Answer:

3/12

Step-by-step explanation:

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Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

sashaice [31]

Answer:

$f(x) = x^3 -sinx +Cx+D$

Step-by-step explanation:

Given that:

$f ''(x)= 6x +sinx$

We are given the 2nd derivative of a function f(x) and we need to find f(x) from that.

We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

$1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C$

$\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\$

Now, integrating it again to find f(x):

$f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx -\int{cosx} \, dx +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3} -sinx +Cx+D\\\Rightarrow x^3 -sinx +Cx+D\\\\\therefore f(x) = x^3 -sinx +Cx+D$

5 0

4 years ago

Alyssa said that 6/8 and 9/12 are not equivalent because there's no whole number you can multiply both parts of 6/8 by to get 9/

luda_lava [24]

No. 6/8=9/12
by multiplying the denominators you get the common denominator of 72
then multiply each numerator by the number of the opposite denominator
8x12=96
6x12=72
9x8=72
Therefore, 72/96=72/96
(6/8 = 9/12)

5 0

3 years ago

Read 2 more answers

Need help please help and explain

VMariaS [17]

5,675.68 + 2,168.79
7,844.47
The answer is A) $7,844.47.

7 0

3 years ago

Read 2 more answers

Angelina paid $2.70 for 6 juice boxes. how much should angelina expect to pay for 18 juicebox

Gemiola [76]

You will add 2.70+2.70+2.70