MATHEMATICS HIGH SCHOOL

A regular number cube is rolled. What is the probability that a 3 will not be rolled?1. 1/6
2. 1/2
3. 4/5
4. 5/6

Answers

Answer 1
Answer: 5/6
a normal cube has 6 numbers and 3 is 1/6 so 6/6-1/6=5/6

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A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below. 1 pound = 16 ounces. 1,000 grams = 1 kilogram. 1 kilogram = 2.2 pounds. Student's work: StartFraction 160 ounces Over 1 EndFraction times StartFraction 16 pounds Over 1 ounce EndFraction times StartFraction 1 kilogram Over 2.2 pounds EndFraction almost-equals 1,163.6 What is the student's error? The student forgot to multiply by StartFraction 1,000 grams Over 1 kilogram EndFraction. The student forgot to multiply by StartFraction 1 kilogram Over 1,000 grams EndFraction. The student multiplied by StartFraction 16 pounds Over 1 ounce EndFraction instead of StartFraction 1 pound Over 16 ounces EndFraction. The student multiplied by StartFraction 1 kilogram Over 2.2 pounds EndFraction instead of StartFraction 2.2 pounds Over 1 kilogram EndFraction.
The sum of three consecutive multiples of 7 is 777 find these multiples

write as an equation and solve: when 4 is added to the number that is produced by three times the number p, the result is equal to 25.

Answers

Answer:

3p+4=25

Step-by-step explanation:

3p+4=25

Answer:

Equation is  3p+4=25

p=7

Step-by-step explanation:

Isolate the variable

3p + 4 - 4 = 25 - 4

Simplify

3p = 21

Solve for p

3p/3 = 21/3

p=7

For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range. a. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4.
b. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4.
c. The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4.
d. The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.

Answers

b; you can graph the function on a graphic calculator or use algebra find each of the desired aspects

Answer:

the answer is B

Step-by-step explanation:

the domain equals to be (-1,4) and a equals more than 0 so it is y ≤ 4

How do I solve this?

Answers

i would first make it 5+-2x and so then you would have I5+-2xI * IxI and then you have I5+ (-2*-4)I*I-4I then you have I5+8I*4 then you would have 13*4 and then your answer is 52 :)
|5 - 2x| · |x|
|5 - 2(-4)| · |-4|
|5 + 8| · 4
|13| · 4
13 · 4
52

At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.00 for every gigabyte of data used. Irfan wants to find out which plan is the best choice for him. On average, he uses five to eight GB of data per month.How much data would Irfan need to use for both plans to cost the same?

Answers

Answer:

Part 1) The best choice is Plan A

Part 2) The data is 6(2)/(3)\ GB

Step-by-step explanation:

Part 1)

Let

y ----> the cost per month

x ----> the number of GB of data per month

we know that

Plan A

y=5x+30

Plan B

y=2x+50

Find out which plan is the best choice if he uses five to eight GB of data per month

Plan A

For x=5 GB -----> y=5(5)+30=$55

For x=8 GB -----> y=5(8)+30=$70

so

with Plan A the cost is between $55 and $70 -----> average $62.5

Plan B

For x=5 GB -----> y=2(5)+50=$60

For x=8 GB -----> y=2(8)+50=$66

so

with Plan B the cost is between $60 and $66 ----> average $63

therefore

The best choice is Plan A

Part 2) How much data would Irfan need to use for both plans to cost the same?

we have

y=5x+30 ----> equation A

y=2x+50 ----> equation B

Solve the system of equations by elimination

Subtract equation B from equation A

0=5x-2x+30-50

0=3x-20

3x=20

x=(20)/(3)\ GB

Convert to mixed number

x=6(2)/(3)\ GB ----> for this data the cost is the same in both plans

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply.A.The domain is all real numbers.
B.The range is all real numbers greater than or equal to 1.
C.The y-intercept is 3.
D.The graph of the function is 1 unit up and 2 units to the left Efrom the graph of y = x2.
F.The graph has two x-intercepts.

Answers

This is a polynomial function called Quadratic Function. This is written as:

f(x)=(x+1)^2+2

Recall that the graph of a quadratic function is a special type of U-shaped curve called parabola. The graph of this function is shown in the Figure below. From that, we can say the following:

A. The domain is all real numbers.

This is true. In fact, the domain of any polynomial function is the set of all real numbers.

B. The range is all real numbers greater than or equal to 1.

This is false. Instead, the range is all real numbers greater than or equal to 2, that is the y-coordinate of the vertex.

C. The y-intercept is 3.

This is true. We can find the y-intercept letting x=0, so:

x=0 \n \n y-intercept \rightarrow f(0)=(0+1)^2+2=3

D. The graph of the function is 1 unit up and 2 units to the left from the graph ofy=x^2

This is false. The correct statement is that the graph of the function is 2 units up and 1 unit to the left from the graph of y=x^2

E. The graph has two x-intercepts.

This is false. As shown the graph below, this function does not have any x-intercept

Answer:

A and C

Step-by-step explanation:

A newborn weighs 8 pounds and 5 ounces. There are 453.59 grams per pounds. What is the infant's weight in grams ?

Answers

453.59x8=3628.72

5 ouces= 453.59/16x5=141.746875

141.746875+3628.72=3770.466875 grams

hope this helps
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