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tigry1 [53]
3 years ago
7

The ratio of tablet to a loptop is 6:2 if 200 more people own a tablet than a loptop, how many people own each type of electroni

c device
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

Tablet: 300

Laptop: 100

Step-by-step explanation:

You can simplify the ratio from 6:2 to 3:1. If you multiply 1 and 3 by 100, you get 300 tablets and 100 laptops, which supports the information in the question (200 more tablets).

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A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour
Bad White [126]

Answer:2:3

Step-by-step explanation:

becuase every 3 cup of flour you will need 2 cup of chocolate chip

4 0
3 years ago
Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

At the endpoints of [-2, 2], we have f(-2)=1 and f(2)=e^8, so that f has an absolute minimum of \frac1e and an absolute maximum of e^8 on [-2, 2].

So we have

\dfrac1e\le f(x)\le e^8

\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx

\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

5 0
3 years ago
05.01 MC)
egoroff_w [7]
The answer is number 2)
8 0
3 years ago
Differentiate y = 8x/ 3 − tan(x)
vagabundo [1.1K]

Answer:

\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}

Step-by-step explanation:

y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}

Remember to use the Quotient Rule

4 0
2 years ago
1st question: is 3×2/3 greater or less than 3 ........ 2nd question: is 5/7×3 greater or less than 5/7?
Dominik [7]
First one: 
3 * 2/3 is equal to 6/3 which is equal to 2 and 2 is less than 3 
second one:
5/7 * 3 is equal to 15/7 and 15/7 is greater than 5/7 :)))
i hope this is helpful
have a nice day
4 0
3 years ago
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