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2 years ago

Shruthi typed 1000 words in 60 minutes. What is her typing speed?

Mathematics

1 answer:

shepuryov [24]2 years ago

4 0

Answer:

If top readers read at speeds of above 1000 words per minute (wpm) with near 85% comprehension, they only represent 1% of readers. Average readers are the majority and only reach around 200 wpm with a typical comprehension of 60%. ... The average reader is five times slower than the good reader.

Step-by-step explanation:

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What is the slope of the line passing through the two points (-5,0) and (0,19)

lara31 [8.8K]

Slope m=(y2-y1)/(x2-x1)
(x1,y1)=(-5,0)
(x2,y2)=(0,19)
m=19-0/0-(-5)
m=19/5=3.8
Slope is 3.8
Good luck.

4 0

3 years ago

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8

Gekata [30.6K]

First, let $(x,y)$ be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:
$\sqrt{(x-0)^{2}+(y-8)^{2}}$

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix, $y=c$ , is: $|y-c|$ . Since our directrix is y=-8, the distance to our point will be:
$|y-(-8)|$
$|y+8|$

Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
$\sqrt{(x-0)^{2}+(y-8)^{2}}=|y+8|$
$(\sqrt{(x-0)^{2}+(y-8)^{2}})^{2}=|y+8|^{2}$
$(x-0)^{2}+(y-8)^{2}=y+8$

Finally, we can expand and solve for $y$ :
$x^2+y^2-16y+64=y^2+16y+64$
$x^{2}-16y=16y$
$32y=x^{2}$
$y= \frac{1}{32} x^2$

We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span> $y= \frac{1}{32} x^{2}$

3 0

3 years ago

Solve x2 + 8x + 22 = 0 by completing the square.

Liula [17]

Answer:

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

6 0

3 years ago

D = {x|x is a whole number}

pickupchik [31]

The given statement is true.

Step-by-step explanation:

Given sets are:

D = {x|x is a whole number}

E = {x|x is a perfect square between 1 and 9}

F = {x|x is an even number greater than or equal to 2 and less than 9}

as the sets are given in set builder notation,, we will first write the sets in set notation.

So,

D = {0,1,2,3,4,...}

E = {4,9}

F = {2,4,6,8}

Now,

EUF = {4,9} U {2,4,6,8}

= {2,4,6,8}

Hence,

The given statement is true.

Keywords: Union,sets

Learn more about sets at:

#LearnwithBrainly

4 0

3 years ago

Lily hikes at least 1 hour but not more than 3 hours. She hikes at an average rate of 2.2 miles per hour. The distance Lily hike

Basile [38]

Average rate = distance / time
distance = average rate x time

Range of distance = 2.2(1) to 2.2(3) = 2.2 to 6.6

Required range is all real numbers from 2.2 to 6.6, inclusive.

7 0

3 years ago

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