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3 years ago

eight students share 5 blocks of modeling clay equally. What fraction of one block of modeling clay does each student get?

Mathematics

1 answer:

quester [9]3 years ago

8 0

5/8 trust me because when you divide 5 by 8 you get a number that is equal to 5/8

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Which function is represented by the graph below?

Bad White [126]

Good day ~_~ /////////////

6 0

3 years ago

Read 2 more answers

Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2

lbvjy [14]

Step 1:
Start by putting $\frac{d}{dx}$ in front of each term

$\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]$
-----------------------------------------------------------------------------------------------------------------
Step 2:

Deal with the terms in 'x' and the constant terms
$\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]$
----------------------------------------------------------------------------------------------------------------
Step 3:

Use the chain rule for the terms in 'y'
$\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------
Step 4:

Use the product rule on the term in 'x' and 'y'
$(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}
$
$y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------

Step 5:

Rearrange to make $\frac{dy}{dx}$ the subject
$-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
$cos(x) \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)$
$[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)$
$\frac{dy}{dx}= \frac{10x+ysin(y)}{cos(x)-6y}$ ⇒ Final Answer

5 0

3 years ago

Perform the indicated operation.<br> (w^3 +64)/(4+ w)

timurjin [86]

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- = (w^2 - 4w + 16)

4 + w 4 + w

6 0

3 years ago

Some 1 plz HELP!<br> 3 5/6 X 4 4/5<br> (plz include instructions if u can thx!)

rewona [7]

Well convert 3 5/6 to 23/6 and 4 4/5 to 24/ 5
then find a multiple that both 5 and 6 have which is 30
23x5= 115 and 24x6= 144
so 115 x 144= 16560/30
16560/30 = 552 /1 so your answer is
552

8 0

3 years ago

Read 2 more answers

The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of

Nesterboy [21]

Answer:

$P=400000(2^t)-40000t$

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

$P=400000(2^t)$

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

$P=400000(2^t)-40000t$

8 0

3 years ago