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3 years ago

What is the answer to 4x-10y=12

1 answer:

7 0

4x - 10y = 12
2 (2x - 5y) = 12
2x - 5y = 12 / 2
2x - 5y = 6
This is the real answer.
Now,
if you want to find "x", it will be,
2x - 5y = 6
2x = 6 + 5y
x = (6 + 5y) / 2

And,
if you want to find "y", it will be,
2x - 5y = 6
5y = 2x - 6
y = (2x - 6) / 5

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(Two questions)The temperature in an office is controlled... PLEASE

inysia [295]

Answer:

a) the temperature is y = 16° C at 9 AM.

b) The probability of selecting 2 vowels at the same time is 2.8%

Step-by-step explanation:

Temperature = y=?

Time = x = 9 A.M

The given equation is:

$y = 19 + 6 sin (\frac{\pi }{12}(x-11))$

Putting x = 9 and solving

$y = 19 + 6 sin (\frac{\pi }{12}(9-11))\\y = 19 + 6 sin (\frac{\pi }{12}(-2))\\y = 19 + 6 sin (\frac{-\pi }{6})\\y = 19 + 6(-0.5)\\y = 19 - 3\\y = 16$

So, the temperature is y = 16° C at 9 AM.

WORD CLEMSON

Total Words = 7

Vowels = e, o = 2

Probability of selecting 2 vowels at the same time = P(2 Vowels) =?

We will use the formula of combinations nCr = n! / r! (n-r)!

As we are selecting three letter out of 7, the sample space will be 7C3

And

As there are only two vowels in the given word, and we have to find the probability of selecting two vowels so our event space will be 2C2.

P(2 Vowels) = 2C2 / 7C3

= 1/35

= 0.028 = 2.8%

So, The probability of selecting 2 vowels at the same time is 2.8%

7 0

4 years ago

Find the slope of the line y<br> = -1/8x + 7/6

Elenna [48]

Answer:

The slope is -1/8 and the y intercept is 7/6

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/8 x + 7/6

The slope is -1/8 and the y intercept is 7/6

7 0

3 years ago

What is the quotient and remainder of 5,897 divide by 24

mr Goodwill [35]

The answer is 245 remainder 17

7 0

3 years ago

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Integral of sin^4 (6x) dx

DENIUS [597]

Hello,

$\boxed{sin^4\ x= \frac{3}{8}- \frac{cos\ 2x}{2}+\frac{sin\ 4x}{8} }\\

Let's assume t=6x \ dt=6\ dx\\

 \int\limits {sin^4\ 6x} \, dx = \frac{1}{6} *\int\limits {sin^4\ t} \, dt \\

= \dfrac{1}{6} *( \frac{3t}{8} - \frac{sin\ 2t}{4} +\frac{sin\ 4t}{32})+C\\

= \dfrac{3x}{8} - \frac{sin\ 12x}{24} +\frac{sin\ 24x}{192} +C
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7 0

3 years ago

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Mean temperature: 78°

andrezito [222]

Answer:

74 and 79

Step-by-step explanation:

one standard deviation= 5°

range of one standard deviation: (78-5) to (78+5)

73° to 83°

5 0

3 years ago