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2 years ago

Janet scored 200 and 400 points in the first 2 rounds of a computer game.

Mathematics

2 answers:

never [62]2 years ago

5 0

Answer:

Step-by-step explanation:

7nadin3 [17]2 years ago

3 0

Answer:

B. $(200+400)-250=p$

Step-by-step explanation:

Let p be number of points Michael needs to score in 2nd game to catch up.

We have been given that Janet scored 200 and 400 points in the first 2 rounds of a computer game. So the total points scored by Janet in two games will be: $(200+400)$ points.

We are also told that Michael had scored 250 points in the first round and he want to get the same total score as Janet.

So we can find the number of points Michael needs to score to catch up Janet by subtracting the number of points scored by Michael in 1st game from total number of points scored by Janet in two games. We can represent this information in an equation as:

$(200+400)-250=p$

Therefore, the equation $(200+400)-250=p$ will help Michael to find the number of points he need to catch up Janet and option B is the correct choice.

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Eve’s teacher asked her to graph the function y=-cot(x)-1 by reflecting the graph of the function y=cot(x) about the x-axis and

Ronch [10]

Answer:

The correct answer is A: Yes, it matters. The graph of a function y = cot(x) should be reflected about the x-axis before it is translated 1 unit up.

Step-by-step explanation:

The reason being is that when there are two factors that affect a graph's verticality, order does matter. Here is the exact reasoning:

Say you translated 1 unit down first. You would then have y = cot(x) - 1. Then, in order to reflect it about the x axis, you must multiply the entire right side of the equation by negative 1. So now you have y = -1(cot(x) -1), which, when distributed, gives you: y = -cot(x) + 1, instead of y = -cot(x) -1. Therefore, you must reflect before you translate.

And you may be wondering, why then, isn't D correct? Since, you could fix that by translating up 1 and then reflecting, so that you get the final product. Well, it specifies that it can be done in any order. So one way you could get the equation you want, but the other way, you get y = -cot(x) + 1, which, again, is incorrect.

I hope this cleared it up for you!

5 0

2 years ago

Read 2 more answers

Jordan had the following scores on her math tests last quarter: 96, 89, 79, 85, 87, 94,

Lisa [10]

Answer:

a) 5.5

b) None

Step-by-step explanation:

The given data set is {96,89,79,85,87,94,96,98}

First we must find the mean.

$\bar X=\frac{96+89+79+85+87+94+96+98}{8}=\frac{724}{8}=90.5$

We now find the absolute value of the distance of each value from the mean.

This is called the absolute deviation

{ $|96-90.5|,|89-90.5|,|79-90.5|,|85-90.5|,|87-90.5|,|94-90.5|,|96-90.5|,|98-90.5|$ }

{ $5.5,1.5,11.5,5.5,3.5,3.5,5.5,7.5$ }

We now find the mean of the absolute deviations

$MAD=\frac{5.5+1.5+11.5+5.5+3.5+3.5+5.5+7.5}{8} =\frac{44}{8} =5.5$

The least absolute deviation is 1.5. This is not within one absolute deviation.

Therefore none of the data set is closer than one mean absolute deviation away from the mean.

5 0

2 years ago

An ostrich can run 6 mph faster than a giraffe. An ostrich can run 7 miles in the same time that a giraffe can run 6 miles. Find

LUCKY_DIMON [66]

NOTE THIS IS AN EXAMPLE:

Let t = time, s = ostrich, and g = giraffe.

Here's what we know:

s = g + 5 (an ostrich is 5 mph faster than a giraffe)

st = 7 (in a certain amount of time, an ostrich runs 7 miles)

gt = 6 (in the same time, a giraffe runs 6 miles)

We have a value for s, so plug it into the first equation:

(g + 5)t = 7

gt = 6

Isolate g so that we can plug that variable value into the equation:

g = 6/t

so that gives us:

(6/t + 5)t = 7

Distribute:

6 + 5t = 7

Subtract 6:

5t = 1

Divide by 5:

t = 1/5 of an hour (or 12 minutes)

Now that we have a value for time, we can plug them into our equations:

1/5 g = 6

multiply by 5:

g = 30 mph

s = 30 + 5

s = 35 mph

Check by imputing into the second equation:

st = 7

35 * 1/5 = 7

7 = 7

5 0

2 years ago

Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

5 0

2 years ago

The diagram shows the cross section of a cylindrical pipe with water lying in the bottom.

disa [49]

Hey

So my brother posted this on Yahoo
Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth. A right-angled triangle is formed. Length of side to the water-surface is 5 cm, the hypot is 7 cm.

What you do now is the following: 

Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7) 

So θ is approx 44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8° 

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram. 

Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8° 
= 88.8/360*π*7² - 24.5*sin 88.8° 
≃ 13.5 cm² 
(using area of ∆ = ½.a.b.sin C for the triangle) 

b) 

volume of water = cross-sectional area * length 
≃ 13.5 * 30 cm³ 
≃ 404 cm³

Hoped it Helped

5 0

2 years ago