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Zanzabum
3 years ago
9

What is 1 1/4 × 4 3/4 =

Mathematics
1 answer:
Luden [163]3 years ago
4 0
First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.
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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
Can some help me fast!
Mice21 [21]

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

7 0
3 years ago
PLS HELP!!!! ASAP
Umnica [9.8K]

Answer:

PLS HELP!!!! ASAP

Like terms 3x, 2x

Different terms 4y, 7z

Step-by-step explanation:

Example similar terms

3x + x = 5x

Example different terms

4 years + 7z

4 0
2 years ago
Find the value of the inverse function, me need a table with x,y values.<br> y=1/2x+5/2
ankoles [38]
<span> Slope = 1.000/2.000 = 0.500  x-intercept = 5/-1 = -5.00000<span>  y-intercept = 5/2 = 2.50000</span></span>
7 0
3 years ago
Two stands at a craft fair sell cone-shaped candles. They are made by pouring wax into a mold. Booth A sells a candle with a rad
frez [133]
In order to compare the amount of wax, you have to calculate the volume of both candles.

Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
A = 32π

Now, Candle of Booth B = π * 5² * 5/3
B = π * 25 * 5/3
B = 41.6π

In short, Booth B sells the candle with more wax.

Hope this helps!
6 0
3 years ago
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