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Natalka [10]
3 years ago
12

Which of the following is the most appropriate unit to describe the rate at which a person reads?

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

C. Words per minute, because the independent quantity is the minutes.

Step-by-step explanation:

The speed will be measured in words per minute as the number of words a person can read in a minute are counted.

The independent quantities are those quantities which are controlled during the measurement while the dependent quantities change depending on the independent quantities. While measuring the reading speed of a person minute is controlled while the number of words are counted in a minute. So minute is the independent quantity.

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8 0
3 years ago
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
Jane needs to buy mulch to cover a circular garden
scoray [572]

Answer:

$3089.4

Step-by-step explanation:

A circle is a locus of a point such that its distance from a point known as the center is always constant.

The area of a circle is given by the formula:

Area = πr²; where r is the radius of the circle.

From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:

Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)²  = 95 yd²

Since mulch cost $32.52 per square yard, hence:

Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4

7 0
3 years ago
Que es él valor dé 9 en asistencia
timurjin [86]
No sé lo siento esqje necesito mas puntos lol hahaha
4 0
3 years ago
X2 - 10xy + 3y + y2 - 1
ladessa [460]

Answer:

2-10xy+4y

Step-by-step explanation:

you have to factor it.

5 0
3 years ago
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