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2 years ago

What is the slope of the line parallel to y= 5x+2. A. -1/5 B. -5 C. 5 D. 1/5

Mathematics

1 answer:

oee [108]2 years ago

6 0

Answer:

slope = 5

Step-by-step explanation:

Parallel lines have the same slope

Equation: y = mx + b

So, slope m = 5

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Consider the circumscribed angle. value of x

musickatia [10]

The answer is C I just took the test

8 0

2 years ago

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the

Elina [12.6K]

If you would like to know which equation relates the weight and the dosage, you can find this using the following steps:

30-pound dog ... 1 milligram of the medicine
w pound dog ... d milligram of the medicine

30 * d = 1 * w
30 * d = w

The correct result would be 30 * d = w.

3 0

3 years ago

Luke live 0.4 kilometer from a skating rink. Marie lives 0.25 kilometer from the skating rink. Who lives closer to the skating r

inessss [21]

Marie because if you put a 0 behind .4 that equals .40 and then you compare .25 and .40 therefore .25 is closer

3 0

2 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$

$x^{2} = -\frac{49}{2}\cdot (y-32)$

$x = \sqrt{-\frac{49}{2}\cdot (y-32) }$

If y = 22 inches, then x is:

$x = \sqrt{-\frac{49}{2}\cdot (22-32)}$

$x = \pm 7\sqrt{5}\,in$

$x \approx \pm 15.652\,in$

Head must 15.652 inches away from the edge of the door.

8 0

3 years ago

Approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls

Leni [432]

Answer:

Option A is right

Step-by-step explanation:

Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is

A) variability due to sampling

-- True because there is a slight difference whichmay be due to sampling fluctuations.

B) bias

False because given that 100 random births selected

C) nonsampling error

False. There is no chance for systematic error here.

d) Confounding: There is no confounding variable present inchild birth since each is independent of the other

e) a sampling frame that is incomplete

False because the sampling is done correctly.

8 0

2 years ago