Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen’s mom makes a deal with Stephen. She will keep the refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day. Each day, Stephen will randomly pick a snack. What is the probability Stephen will not get three yogurts on three consecutive days? Use a tree diagram or area model to show all the possible outcomes in the sample space.

Answers

Answer 1

Answer: $1-((5)/(10))^3\n1-((1)/(2))^3\n1-(1)/(8)\n(7)/(8)$

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What is the quotient of b^3+4b^2-3b+126/b+7A. b² + 11b + 80 R276
B. b² − 3b + 18 (Wrong)
C. b² − 11b + 38 R140
D. b² − 3b + 18 R252

Answers

The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. The quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.

The vertices of a square are listed below.Q(0,0), U(0,4), A(4,4), D(4,0)

After the square undergoes an isometric transformation, its new vertices are Q'(0,0), U'(4,0), A'(4,-4), and D'(0,-4). Which of the following options best describes the type of transformation that maps QUAD onto Q'U'A'D'?

a. reflection
b. translation
c. rotation

Answers

The right answer for the question that is being asked and shown above is that: "a. reflection." After the square undergoes an isometric transformation, its new vertices are Q'(0,0), U'(4,0), A'(4,-4), and D'(0,-4). The option that best describes the type of transformation that maps QUAD onto Q'U'A'D' is that a. reflection

Answer:

Rotation

Step-by-step explanation:

I did odyssey and got it right.

(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Answers

(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

= (4 -3i)(5 +2i - 5 + 2yi)

= (4 -3i)(5 - 5 + 2i + 2yi)

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i. Let's multiply the first two.

(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
      = 8 - 6i + 8y - 6yi
      = 8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
   = 8i + 8yi - 6i² - 6yi²
   = 8i + 8yi - 6(-1) - 6y(-1)
   = 8i + 8yi + 6 + 6y
   = 6 + 6y + 8i + 8yi
   = (6 + 6y) + (8 + 8y)i In the form a + bi

Y^20=( )^2
1) y^4
2) y^5
3)y^10
4)y^12

Answers

y^20 = (?)^2

We want to find the missing number. Let's first think about how exponents are dealt with. If there are two exponents (ex: (z^5)^2) then the exponents multiply to find your new exponent (ex: z^10).

Therefore, we want the power of y to multiply by 2 and equal 20. The answer is 3) y^10.

(y^10)^2 = y^20

your employer has 600 business cards printed for you and you give away 280 of them to the nearest hundred what percent of the cards is left

Answers

First, find the number of cards that is left. 600 - 280 = 320.

Now find what percent of 600 320 is. This can be done like so:
$(280)/(600)$ · 100%

This gives us 46.67 % (rounded to the nearest hundredth).

Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Answers

x 2^(-x) 4^(x+3)

-3 8 1

-2 4 4

-1 0 16

0 1 64

1 0.5 256

2 0.25 1024

3 0.125 4096

The solution is x = -2 because both functions return the same value, i.e. 4.

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