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NemiM [27]
2 years ago
7

Solve each system by substitutionx+3y=-13 x+3y=-17 ​

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

x = -13 - 3y and x = -17 - 3y

Step-by-step explanation:

Sorry for my previous mistake. Hope this helps!

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given cos θ= √35/6 and angle θ is in Quadrant I, what is the exact value of sin θ in simplest form? Simplify all radicals if nee
joja [24]

Here, I've attached a picture of the triangle that accompanies this explanation.

cot = = =

Now view the triangle.

PS. Angle theta will have a coordinate of (-, +) because it is in quadrant II.

sin of the angle would be opposite/hypotenuse, so sin =

cos of the angle would be adjacent/hypotenuse, so cos =

tan of the angle would be opposite/adjacent, so tan =

3 0
3 years ago
A ball is released from a height of 180 meters. In the first second, the ball drops 5 meters, in the second 15 meters, in the 3r
sergejj [24]

Answer:

a. 4

Step-by-step explanation:

4 0
3 years ago
Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3
erik [133]

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:

X \sim N(298,3)  

Where \mu=298 and \sigma=3

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

4 0
3 years ago
A company has made a rubber ball for $0. 02 per square foot. The company wants to spend a maximum of $1 each on a new ball.
Misha Larkins [42]

The diameter of the new rubber ball, to the nearest foot, must be D =  4.0 ft (in the case of the maximum cost).

<h3>How to find the diameter of the ball?</h3>

Remember that for a sphere of diameter D, the surface area is:

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

5 0
2 years ago
If x-y=9 and xy=2,find the value of (x square + y square)
kati45 [8]

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

          = 9² + 2(2)

          = 81 + 4

          = 85

3 0
2 years ago
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