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skad [1K]
3 years ago
12

Factor this trinomial completely -10x^2+36x+16

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

-2(5x+2)(x-4)

Step-by-step explanation:

4vir4ik [10]3 years ago
4 0

Answer:

-2(5x+2)(x-4)

Step-by-step explanation:

(⊙o⊙) <-- it wants Brainliest

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Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with a mean of 35.5 inches and a
erastovalidia [21]

The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.

<h3>What is the average annual rainfall?</h3>

Generally, the equation for the probability is mathematically given as

P( X < x) = p( Z < x - \mu / \sigma)

Therefore

P( X > x) = 0.021

P( X < x ) = 1 - 0.021\\\\\p( X < x) = 0.979

P( Z < x - \mu / \sigma) = 0.979

The z score for the probability of 0.979 is 2.034, according to the table of z values.

x - \mu / \sigma \\\\x= 2.034

In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.

x - 35.5 / 2.5 \\x= 2.034

In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.

Read more about average

brainly.com/question/24057012

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7 0
2 years ago
Sally has a GPA of 3.35. What percentage of the students have a GPA above her GPA?
vichka [17]
I'm hoping it might be around the .65 percentile?
3 0
3 years ago
g Suppose that the populationy(t)of a certain kind of fish is given by the logistic modely′= 3y−2y2(a) Solve the Bernoulli equat
Ksju [112]

Answer:

y = \frac{3}{2 + 3Ce^{-3t} }

Step-by-step explanation:

As given , y' = 3y - 2y²

⇒y' - 3y = -2y²

Divide by y² in the above equation

⇒\frac{y'}{y^{2} } - \frac{3y}{y^{2} } = -\frac{2y^{2} }{y^{2} }

⇒\frac{y'}{y^{2} } - \frac{3}{y } = -2       ........(1)

Now , let \frac{1}{y} = u

⇒-\frac{1}{y^{2} } \frac{dy}{dt} = \frac{du}{dt}

⇒-\frac{1}{y^{2} }y' = \frac{du}{dt}

∴ equation (1) becomes

-\frac{du}{dt} - 3u = -2

⇒\frac{du}{dt} + 3u = 2

It is a linear differential equation

Now,

Integrating factor = I.F = e^{\int\limits {3} \, dt } = e^{3t}

∴ The solution becomes

u.(I.F) = \int\limits {2.(I.F)} \, dt + C

⇒u.(e^{3t}) = \int\limits {2.(e^{3t} )} \, dt + C

⇒u.(e^{3t}) = \frac{2e^{3t} }{3} + C

⇒u = \frac{2}{3} + Ce^{-3t}

As \frac{1}{y} = u

⇒\frac{1}{y}  = \frac{2}{3} + Ce^{-3t}

⇒ y = \frac{1}{\frac{2}{3} + Ce^{-3t}  } = \frac{3}{2 + 3Ce^{-3t} }

⇒ y = \frac{3}{2 + 3Ce^{-3t} }

6 0
3 years ago
I really need help with 15 and 16 please
Mandarinka [93]

Answer:

  15. 50 kg

  16a. 5 kg

  16b. 3.75 kg

Step-by-step explanation:

The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².

  F = ma

  m = F/a . . . . . divide by a

__

15. m = (250 N)/(5 m/s²) = 50 kg

__

16a. m = (15 N)/(3 m/s²) = 5 kg

16b. m = (15 N)/(4 m/s²) = 3.75 kg

_____

<em>Comment on units</em>

Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).

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3 years ago
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