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2 years ago

Please click here and help me

Mathematics

1 answer:

Alex17521 [72]2 years ago

6 0

Answer:

A. ∠AOD = 170°

Step-by-step explanation:

103° + 55° + 12° = 170°

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Find the value of a.<br> 4x + ax = - 2x(2x + 1)

Karo-lina-s [1.5K]

Answer:

a = -2(2x+1)-4

Step-by-step explanation:

1. Factor out the common term x.

x(4+a)= -2x(2x+1)

2. Cancel x on both sides.

4+a= -2(2x+1)

3. Subtract 4 from both sides.

a= -2(2x+1)-4

3 0

2 years ago

Find the solution the each of the following first order linear differential equations:

Cerrena [4.2K]

Answer:

a. $y=\frac{2}{3}x^7+cx^4$

b. $y=2e^{7x}-ce^{5x}$

c. $y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d. $i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

Step-by-step explanation:

a) xy' -4y = 2 x^6

$xy'-4y=2x^6\\y'-\frac{4}{x}y=2x^5\\p(x)=\frac{-4}{x}\\Q(x)=2x^5\\\mu(x)=\int P(x)dx=\int \frac{-4}{x}dx=Ln|x|^{-4}\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=x^4 \int {x^{-4}2x^6}dx\\y=\frac{2}{3}x^7+cx^4$

b) y' - 5y = 4e^7x

$y'-5y=4e^{7x}\\p(x)=-5\\Q(x)=4e^{7x}\\\mu(x)=\int P(x)dx=\int-5dx=-5x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{5x}\int {e^{-5x}4e^{7x}}dx\\y=2e^{7x}-ce^{5x}$

c) dy/dx + 2y = 2/(1+e^4x)

$\frac{dy}{dx}+2y=\frac{2}{1+e^{4x}}\\p(x)=2\\Q(x)=\frac{2}{1+e^{4x}}\\\mu(x)=\int P(x)dx=\int 2dx=2x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{-2x}\int {e^{2x}\frac{2}{1+e^{4x}}}dx\\y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d) 1/2 di/dt + i = 4cos(3t)

$\frac{1}{2}\frac{di}{dt}+i=4cos(3t)\\\frac{di}{dt}+2i=8cos(3t)\\p(t)=2\\Q(t)=8cos(3t)\\\mu(t)=\int P(t)dt=\int 2dt=2t\\i=e^{-\mu(t)}\int {e^{\mu(t)}Q(t)dt}\\i=e^{-2t}\int {e^{2t}8cos(3t}dt\\i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

3 0

3 years ago

You sell 200 laptops per month at $499 per laptop. You sell 350 smartphones per month at $399 per phone. Which

tatuchka [14]

Answer:

B) Smartphones

Step-by-step explanation:

In order to answer this question we need to find the total revenue for the laptops and smartphones.

Let's start with the laptops.

Given:

200 laptops/month
$499 per laptop

To find the total revenue of all these laptops we need to multiply 200 by 499.

$(200) *(499) = 99,800$

Therefore, the total revenue of the laptops alone is $99,800.

Now, let's do the smartphones.

Given:

350 smartphones/month
$399 per smartphone

To find the total revenue of all these smartphones we need to multiply 350 by 399.

$(350) * (399) = 139,650$

Therefore, the total revenue of the smartphones alone is $139,650.

Comparing the two revenues we see that the smartphones generate more sales in dollars.

Hope this helps!

- Kay

7 0

2 years ago

Students conducted the following experiment 24 times. They drew one card from a box with some red cards and some black cards, pu

laiz [17]

Answer:

it is d

Step-by-step explanation:

6 0

1 year ago

Hiii! can someone please help me with my maths question

beks73 [17]

Step-by-step explanation:

a^2 + b^2 = c^2

(x+2)^2 + 4x^2 = (3x+4)^2

(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)

x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16

5x^2 + 4x + 4 = 9x^2 + 24x + 16

-4x^2 - 20x - 12 = 0

now we can use the quadratic formula

(-b±√(b²-4ac))/(2a)

I can't type all this so

.....

x = -0.697224362 or -4.302775638

AB can't be negative so it's the first one

so it's equals to 1.302775638

6 0

2 years ago