Michelle has some stamps.her sister has half as much stamps as she does.they have 1,080 stamps in all.how many stamps does Michelle have

Answers

Answer 1

Answer: Michelle has 2/3 of the total 1,080 stamps, so 1,080*2/3=720 stamps

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Evaluate m0 - n2 for m = 2 and n = -1.
Yeah I don’t get this

Quadratic graph find a and b

Answers

Answers: a = -9 and b = -2

Reason

The template $y = (x+a)^2 + b$ is very close to the vertex form $y = c(x-h)^2+k$ where the vertex is (h,k). The vertex represents either the highest point or the lowest point on the parabola (depending if the parabola opens downward or upward).

In this case h = 9 and k = -2. Also, c = 1.

So we go from $y = c(x-h)^2+k$ to $y = 1(x-9)^2+(-2)$ which can be rewritten as $y = (x+(-9))^2+(-2)$

Compare that with $y = (x+a)^2+b$ and you'll find that a = -9 and b = -2

1 pound = 100 penny= 10 penny x 10 penny
= 1/10 pound x 1/10 pound
= 1/100 pound
= 1 penny

=> 1 pound = 1 penny
How is this possible if 1 pound = 100 pennies

Answers

$100penny\ isn't\ 10penny\ *\ 10penny\n\n100penny=10\ *\ 10penny\n-------------------\n\n10penny\ *\ 10penny=100penny^2!!!!$

A camera is placed in front of a hyperbolic mirror. The equation of the hyperbola that models the mirror is , where x and y are in inches. The camera is pointed toward the vertex of the hyperbolic mirror and is positioned such that the lens is at the nearest focus to that vertex.

Answers

Answer:

The lens is 1 inch from the mirror

Step-by-step explanation:

* Lets revise the equation of the hyperbola with center (0 , 0) and

transverse axis parallel to the y-axis is y²/a² - x²/b² = 1

- The coordinates of the vertices are (0 , ± a)

- The coordinates of the co-vertices are (± b , 0)

- The coordinates of the foci are (0 , ± c) where c² = a² + b²

* Lets solve the problem

∵ The equation of the hyperbola is y²/16 - x²/9 = 1

∵ The form of the equation is y²/a² - x²/b² = 1

∴ a² = 16

∴ a = √16 = 4

∵ The coordinates of the vertices are (0 , ± a)

∴ The coordinates of the vertices are (0 , 4) , (0 , -4)

∴ b² = 9

∴ b = √9 = 3

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = √25 = 5

∵ The coordinates of the foci are (0 , ± c)

∴ The coordinates of the foci are (0 , 5) , (0 , -5)

∵ The camera is pointed towards the vertex of the hyperbolic mirror

which is (0 , 4) and is positioned such that the lens is at the nearest

focus to that vertex which is (0 , 5)

∴ The distance between the lens and the mirror equal the distance

between the vertex and the focus

∵ The vertex is (0 , 4) and the nearest focus is (0 , 5)

∴ The distance = 5 - 4 = 1 inch

* The lens is 1 inch from the mirror

Answer:

Step-by-step explanation:

I answered this in edmentum and got this correct

For triangle TRI the following facts are given:Segment AN is perpendicular to segment RI
AN = 6 cm
RI = 8 cm
TA = 3.3 cm
NI = 1.6 cm

In two column format prove that triangle TAN is congruent to triangle TRI

Answers

we can see that the two triangles share an angle and all their sides are parallel, thus by Tales theorem, they are in Tales position, which proves that they are congruent.

we can see from figure that:
call x and y the unknown segments TA and TN, then we have:

3.3/(3.3 + x) = 6/8

8*3.3 = 6(3.3 + x)
x = 1.1

and then the proportion still holds for those sides as well as AN and RI

we also have:
y/(y + 1.6) = 6/8
8y = 6y + 9.6

y = 4.8

and then the proportion still holds for those sides as well as AN and RI

A person playing a game of chance has a 0.25 probability of winning. If the person plays the game 20 times and wins half of that number of times, what is the difference between the theoretical probability and the experimental probability of that person winning ?

Answers

The theoretical probability is what is expected to happen which is 0.25 or 25%. The experimental probability is the actual or observed during the play. Since the person won half of 20 games, the experimental probability is 10/20 or 50%.

The difference between the theoretical and experimental probability is then

50%-25%=25% or 0.25

We note that the experimental probability is higher than the theoretical. However, as more games are played, the fraction of games won becomes closer and closer to the theoretical probability.

Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles duringthe week, he has 2 gallons of gas remaining. Find the slope of the graph representing this situation.

Answers

Answer:

-1/20

Step-by-step explanation:

For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.

To find slope the formula is (y2-y1)/(x2-x1)

So in this case it is 2-4/40-0

-2/40

This reduces to -1/20

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Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?

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