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kobusy [5.1K]
2 years ago
5

For which function is the ordered pair (5,10) not a solution ?

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
4 0

Answer:

D)

Step-by-step explanation:

Because

a)  10 = 2(5) = 10

b) 10 = 5 + 5 = 10

c) 10 = 15 -5 = 10

d) 10 = 5 - 5 = 0  the result is not equivalent

lapo4ka [179]2 years ago
3 0

Answer:

the ordered pair (5, 10) is not a solution is

y = x - 5

y = 10 - 5

y = 5

the ordered pair is (5, 5)

the answers are b and d

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Answer:

X= 4\sqrt 3 and Y= 8

Step-by-step explanation:

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5 0
3 years ago
With the beam being held still at a height of 40 m, the crane breaks and the beam falls to the ground. Assuming no air resistanc
lapo4ka [179]
What we have so far:
Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m.
Gavity, g = 9.8m/s²
Height = 40m
Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.

Solution:
We will use the equation of Total energy:
TE = potential energy + kinetic energy

TE = 0 + 0

∴ TE = 0

The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
8 0
3 years ago
Systems of Equations:
faust18 [17]
v_b-the\ speed\ of\ the\ boat\\v_c-the\ speed\ of\ the\ current\\\\v_b+v_c=\frac{210}{10}=21\ (mph)\\\\v_b-v_c=\frac{210}{70}=3\ (mph)\\\\  +\left\{\begin{array}{ccc}v_b+v_c=21\\v_b-v_c=3\end{array}\right\\-----------\\.\ \ \ \ \ \ 2v_b=24\ \ \ \ /:2\\.\ \ \ \ \ \ \ \ \ v_b=12\ (mph)\\\\12+v_c=21\\v_c=21-12\\v_c=9\ (mph)

Answer:\\the\ speed\ of\ the\ both\ is\ 12mph\\the\ speed\ of\ the\ current\ is\ 9mph
4 0
2 years ago
at a maximum speed, an airolane travels 1680 miles against the windin 5 hours. Flying with the wind, the plane can travel the sa
Licemer1 [7]

Answer:

Plane Speed (x) = 378 mph

Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

  • d = 1680 miles
  • t = 4 hours
  • r = x + y

Against the wind

  • d = 1680
  • t = 5 hours
  • r = x - y

Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

  • 4x + 4y = 5x - 5y                     Subtract 4x from both sides
  • 4y = -4x + 5x - 5y                    Combine
  • 4y = x - 5y                               Add 5y to both sides                      
  • 5y + 4y = x
  • x = 9y

Solution part 2

Now take one of the distance formulas and solve for x first then y.

  • (x - y)*5 = 1680               Substitute 9y for x
  • (9y - y)*5 = 1680             Subtract on the left
  • 8y * 5 = 1680                  Multiply on the left
  • 40y = 1680                     Divide by 40
  • y = 1680/40            
  • y = 42                             That's the speed of the wind.
  • (x - y)*5 = 1680               Substitute the wind speed for y
  • (x - 42)*5 = 1680             Divide both sides by 5
  • (x - 42) = 1680 / 5            Do the division on the right
  • (x - 42) = 336                   Add 42 to both sides.
  • x = 336 + 42
  • x = 378 mph                    Plane's speed

7 0
3 years ago
In order to set​ rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto rep
son4ous [18]

Answer:

D. 31

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

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M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the population standard deviation is 2.8 days.

This means that \sigma = 2.8

How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?

This is n for which M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{2.8}{\sqrt{n}}

\sqrt{n} = 1.96*2.8

(\sqrt{n})^2 = (1.96*2.8)^2

n = 30.12

Rounding up, at least 31 people are needed, and the correct answer is given by option D.

5 0
2 years ago
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