1. there are 4 candidates for a literature scholarship, 6 for political science, and 5 for economics. in how many ways can these scholarships be awarded? a. 120 b. 95 c. 115 d. 110 e. 100 2. if a fair coin is flipped 5 times, calculate the number of different outcomes in which the last coin flip is heads. a. 12 b. 10 c. 14 d. 8 e. 16 3. a class has 25 boys and 18 girls. the teacher wants to select 1 boy and 1 girl to represent the class in a function. how many ways can the teacher make the decision? a. 380 b. 450 c. 400 d. 430 e. 410 a restaurant has 240 options on the menu for pizza. each option contains exactly one type of vegetable, one type of meat, and one type of cheese. if there are 5 bread types and 8 cheeses available, how many meat options are there? 4. a. 4 b. 7 d. 8 e. 6

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

step-by-step explanation:

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.

assuming this is from a math graphing problem.

7 would be on the x-axis which is the horizontal line on the graph

84 would be on the y-axis which is the vertical line on the graph