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2 years ago

15

Someone help me with the steps please

1 answer:

Vesna [10]2 years ago

8 0

Answer:

Let $u=3x^2-3x$

Solution: $\frac{1}{6} \sqrt{3x^2-3x}+C$

Step-by-step explanation:

See attached for step-by-step

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Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

mr Goodwill [35]

The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared

Therefore, your answer is 16 units squared.

I hope this Helps!
-Sinnamin

3 0

3 years ago

Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w

BartSMP [9]

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = $\frac{88 - 16}{5 - -1}$ = 12

Taking another point (x ,y) on the line;

Slope is $\frac{y - 16}{x - -1}$ = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

3 0

3 years ago

Find the circumference of each circle. Round to the nearest tenth 4.5 m

solong [7]

Answer:

i think the answer is somethingbis abut to come down.

Step-by-step explanation:

8 0

3 years ago

Suppose X has an exponential distribution with mean equal to 23. Determine the following:

e-lub [12.9K]

Answer:

a) P(X > 10) = 0.6473

b) P(X > 20) = 0.4190

c) P(X < 30) = 0.7288

d) x = 68.87

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean equal to 23.

This means that $m = 23, \mu = \frac{1}{23} = 0.0435$

(a) P(X >10)

$P(X > 10) = e^{-0.0435*10} = 0.6473$

So

P(X > 10) = 0.6473

(b) P(X >20)

$P(X > 20) = e^{-0.0435*20} = 0.4190$

So

P(X > 20) = 0.4190

(c) P(X <30)

$P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288$

So

P(X < 30) = 0.7288

(d) Find the value of x such that P(X > x) = 0.05

So

$P(X > x) = e^{-\mu x}$

$0.05 = e^{-0.0435x}$

$\ln{e^{-0.0435x}} = \ln{0.05}$

$-0.0435x = \ln{0.05}$

$x = -\frac{\ln{0.05}}{0.0435}$

$x = 68.87$

5 0

3 years ago

Yoxel buys 4 1/2 gallons of soda. 1/4of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxe

marusya05 [52]

Answer:

$4\frac{1}{4}$ gallons

Explanation:

Total amount of soda bought by Yoxel = $4\frac{1}{2}$ = $\frac{9}{2}$ gallons

Amount of Pepsi = $\frac{1}{4}$ gallons

Therfore,

Amount of sprite = $=\frac{9}{2} -\frac{1}{4}\\=\frac{18-1}{4} \\=\frac{17}{4}\\ =4\frac{1}{4}$ gallons

8 0

4 years ago