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3 years ago

Twice a number added to half of itself equals 24. Find the number.

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

12+12

Step-by-step explanation:

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Khan Academy Order Rational Numbers Please help, I will mark brainliest.

11111nata11111 [884]

Answer:

C= -1/5

B= -0.4

C= -3/7

Step-by-step explanation:

6 0

2 years ago

Solve the differential equation. question is pictured with answer choices

Nimfa-mama [501]

Integrate both sides with respect to t :

∫ dy/dt dt = ∫ -12t ² dt

y(t) = -4t ³ + C

Use the initial condition to solve for C :

5 = -4•0³+ C

C = 5

y(t) = -4t ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

$\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du$

$\implies y(t)=5-4u^3\bigg|_0^t$

$\implies y(t)=5-4t^3$

4 0

2 years ago

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

A machine is deisgned to fill 16 ounce bottles of shampoo.

dlinn [17]

Cool? Is there more to this question or?

3 0

2 years ago

Read 2 more answers

Slope: ( -1, 5 ) and ( 2, -3 ).

velikii [3]

Slope of a line passing through these two points is $\frac{-3-5}{2-(-1)}=-\frac{8}{3}$ .