Question

help please

Answer 1

@Vocaloid

Answer 2

hm. didn't get the notification from this for some reason.

anyway be careful about the exponents

the sequence can be written as

10^2 + 1, 10^4 + 1, 10^6 + 1, 10^8 + 1

so you would expect an even exponent not an odd one

Answer 3

so 10^10 + 1?

Answer 4

good

Answer 5

@Vocaloid

Answer 6

using the fact that linear pair angles add up to 180 which statement is ~false~?

Answer 7

D?

Answer 8

good

Answer 9

any ideas? to disprove the conjecture you must select the rectangle with at least 12 square units but w/ a perimeter less than 16

remember that perimeter of a rectangle = 2L + 2W

Answer 10

*meant to say 16 not 14

Answer 11

the top right one?

Answer 12

notice how it has L = 12 and W = 1

perimeter = ?

Answer 13

12?

Answer 14

wait, 14.

Answer 15

perimeter = 2L + 2W = ?

Answer 16

wait, it's the bottom right one.

Answer 17

good

Answer 18

oh i just turned purple!

Answer 19

well you are given

perimeter = 2L + 2W = 24

so you would go one by one and see which statement is mathematically impossible

remember that L and W must both be greater than 0

Answer 20

is it B? 12x2 is 24, so it goes over

Answer 21

good, B

Answer 22

thank you, want to help with some more?

Answer 23

sure

Answer 24

@Vocaloid

Answer 25

hm. assuming he wants the entire yard fenced it's just

perimeter = 2L + 2W

Answer 26

90?

Answer 27

good

Answer 28

this is 6, right?

Answer 29

@Vocaloid

Answer 30

yup good

Answer 31

hm. one foot in ~each~ direction seems to imply that both dimensions are increasing by 2

so new length and width become 5 and 17

calculate the new perimeter

Answer 32

44

Answer 33

good

Answer 34

perimeter = 2L + 2W

you are given perimeter and width, therefore

21 = 2L + 2(5)

solve for L

Answer 35

11, so would it be like, 6?

Answer 36

you may have forgotten to divide by 2 at the end

21 = 2L + 2(5)

21 - 10 = 2L

2L = 11

so L = 11/2 = ?

Answer 37

11 divided by 2 is 5.5

Answer 38

so the answer is 5.5?

Answer 39

alright

Answer 40

circumference = pi * diameter

so you will find the diameter first then multiply by pi

note: do not convert pi to its decimal form

Answer 41

A?

Answer 42

remember it has to have pi in the solution somewhere

Answer 43

oh, 3pi then

Answer 44

good

Answer 45

area of triangle = (1/2)b*h

you are given b and h, find area

Answer 46

126

Answer 47

perfect

Answer 48

good

Answer 49

alright, i thought that one was the right one

Answer 50

nice

Answer 51

for a square

area = side length^2

you are given area, find side length

then perimeter = 4 * side length = your sol'n

Answer 52

uh..

Answer 53

so i divide the area?

Answer 54

if you have

area = side length^2

how would you find the side length? what's the "opposite" operation of squaring something?

Answer 55

subtraction?

Answer 56

to "undo" a square we would take the ~square root~ of both sides

so sqrt(area) = side length

find the side length then multiply the result by 4

Answer 57

area = 30.25

so what's the square root of 30.25?

Answer 58

5.5

Answer 59

good

then perimeter = 4 * 5.5 = 22 = your sol'n

Answer 60

this one correct?

Answer 61

have to be careful

the height is 2 but it's asking for the base not the height

Answer 62

oh, 18?

Answer 63

"the base is 3 times the height"

Answer 64

6 then,

Answer 65

good that's it

Answer 66

well perimeter = 2L + 2W as usual

dividing this by 2 we get

(1/2)perimeter = L + W

so there are two conditions that must be met:

1) the L + W have to add up to (1/2)(30) = 15
2) one dimension must be exactly half the other dimension

Answer 67

any ideas? which answer choice(s) have both dimensions add up to 15?

Answer 68

B?

Answer 69

good attempt but remember the other condition

one dimension has to be exactly one half the other

Answer 70

there's only one other candidate that fits both conditions

10 + 5 = 15

in addition, 5 is exactly one half of 10

so 10 by 5 is the only one that could be the solution.

Answer 71

alright..

Answer 72

@Vocaloid

Answer 73

so you'd want the answer choice where every listed combination of dimensions gives

area = length*width that is within the bounds of 90 and 130

Answer 74

i got C

Answer 75

that's a good attempt but if we include 12 * 10 in the solution we get 120 which is still within 90 and 130

so A is a more inclusive answer

Answer 76

okay

Answer 77

linear pair = two angles that add up to 180

keep in mind only two angles can be included in a linear pair

Answer 78

i see a pair of angles here that add up to 180

with that being said what might the answer be?

Answer 79

also since we're getting close to 100 replies I would recommend closing this question and re-opening a new one after you've figured this one out ^_^ thanks ~

Answer 80

notice how I have circled angle 4 and angle 7

therefore let's try looking for the answer choice that includes angle 4 and angle 7

Answer 81

alright

Answer 82

hm. not quite, it's asking for vertical angles not linear ones

Answer 83

try to find two angles opposite to each other, that are created by two intersecting lines

Answer 84

so it isnt C?

Answer 85

no it is not

Answer 86

have you tried checking these two angles? <2 and <4?

Answer 87

oh.....

Answer 88

1 and 2 are adjacent, right?

Answer 89

yup good

Answer 90

p needs to be T and ~q f, right?

Answer 91

in order for the end result to be "F," yes

Answer 92

bottom right?

Answer 93

so there's only one condition where the result is F so you should only expect 1 F and the rest being T's

Answer 94

there are only two tables where there are 1 F and 3 T's

between those you need to use the aforementioned rule to choose between them

Answer 95

so the bottom left

Answer 96

remember that ~p must be true and ~q must be false

so it's the other one

Answer 97

bottom left for this one?

Answer 98

good

Answer 99

A for this one?

Answer 100

A would be the intersection between p and q so that would only include the sliver in the middle

as a hint, you can describe the blue shaded area as the combination of "not p" or "not q"

Answer 101

*the union of "not p" or "not q"

Answer 102

so it would be B

Answer 103

good

Answer 104

the second one?

Answer 105

hm. not quite (that would be the intersesction /\)

for p V q, as long as either p or q is true the result will also be true

if they are both false then the result will also be false

Answer 106

alright

Answer 107

for this one, i got D

Answer 108

good

Answer 109

you just have to memorize this, it's true

Answer 110

i got C for this, right?

Answer 111

good

Answer 112

this one is fairly simple, it's also C.

Answer 113

hm. this one is kind of tricky.

"Bicycles have two wheels" can be written as

"If an object is a bicycle, it has two wheels" making the two wheels part the conclusion

the reason why it can't be "it is a bicycle" is that

"If an object has two wheels, it is a bicycle" is incorrect (things other than bicycles may have two wheels)

Answer 114

oh, right.

Answer 115

so the two wheels part is the conclusion

Answer 116

oh, alright..

Answer 117

well, this one is B, right?

Answer 118

good

Answer 119

alright! thank you so much!