Answer:
True
Step-by-step explanation:
Answer:
The answer is True
Step-by-step explanation:
)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.
Answer:
b < c < a < d
Step-by-step explanation:
P.S - The exact question is -
Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,
b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)
To find - Arrange the values of a, b, c, d in increasing order , and explain
how you determined their order.
Proof -
Firstly draw a unit circle where you indicate the following
A = ( cos(x), sin(x) )
B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )
C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )
D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )
As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]
⇒sin (x) and cos(x) are positive and sin(x) < cos(x)
The figure is as follows :
Now
By seeing point B , we can say that
sin ([tex]\pi[/tex] - x) = sin (x) = a
By seeing point C , we can say that
cos([tex]\pi[/tex] + x) = -cos (x) = b
By seeing point C , we can say that
sin( x - [tex]\pi[/tex]) = -sin(x) = c
By seeing point D , we can say that
cos(2[tex]\pi[/tex] - x) = cos(x) = d
As sin(x) < cos(x) ⇒ a < d
-sin(x) > -cos(x) ⇒ c > b ⇒ b< c
and as we know that -sin(x) < sin(x) ⇒ c < a
∴ we get
b < c < a < d
2) The cost of gasoline is directly proportional to the number of gallons of gasoline purchased. Ms. Butcher paid $25.20 for 12 gallons of gas. If c represents the cost in dollars and grepresents the gallons of gas purchased, which equation best represents this relationship?
(a) c = 0.489
(b) c = 2.1g
(c) c = 25.20g
(d) c = 302.4g
Answer:
62/87,21
Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
62/87,21
Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
62/87,21
Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
$16:(5
c = 3.19g; $59.02
Determine whether the set of numbers in each table is proportional. Explain.
62/87,21
Write the rates of cans of concentrate to cans of water in simplest form
Each rate is equal to . So, the amount of cans of water is proportional to the amount of cans of concentrate.
$16:(5
Yes; each rate is equal to .
62/87,21
Write the rates of shaded squares to total squares in simplest form.
The rates are not equal. So, the number of total squares is not proportional to the number of shaded squares.
$16:(5
No; the rates are not equal.
62/87,21
Write the rates of junk e-mails to total e-mails in simplest form.
Each rate is equal to . So, the number of total e-mails is proportional to the number of junk e-mails.
$16:(5
Yes; each rate is equal to
62/87,21
Write the rates of weeks to days in simplest form.
Each rate is equal to . So, the number of days is proportional to the number of weeks.
$16:(5
Yes; each rate is equal to .
62/87,21
Write the rates of the heat index to air temperature.
The rates are not equal. So, the air temperature is not proportional to the heat index.
$16:(5
No; the rates are not equal.
62/87,21
Write the rates of jars to jelly beans in simplest form.
The rates are not equal. So, the number of jelly beans is not proportional to the number of jars.
$16:(5
No; the rates are not equal.
For Exercises 10 and 11, write and solve an equation.
FINANCIAL LITERACY A store is having a sale where all jeans are off the regular price. Write an equation
relating the sale price to the regular price. How much would a pair of $29 jeans cost on sale?
g
Cost
7g
6 7(6) = $42
7 7(7) = $49
8 7(8) = $56
9 7(9) = $63
10 7(10) = $70
$16:(5
yes
Complete each conversion. Round to the nearest hundredth, if necessary.
LQ§B cm
62/87,21
8VHLQ§FHQWLPHWHUV
$16:(5
10.16
/§ B gal
62/87,21
8VH/§JDO
$16:(5
1.32
OE§B kg
62/87,21
8VHOE§NJ
$16:(5
681
\G§ _ m
62/87,21
8VH\G§P
$16:(5
12.8
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
62/87,21
The unit rate is 23.3 miles per gallon.
$16:(5
23.3 miles per gallon
19 yards in 2.5 minutes
62/87,21
The unit rate is 7.6 yards in 1 minute.
$16:(5
7.6 yards per minute
236.7 miles in 4.5 days
62/87,21
The unit rate is 52.6 miles per day.
$16:(5
52.6 miles per day
331.5 pages in 8.5 weeks
62/87,21
The unit rate is 39 pages per week.
$16:(5
39 pages per week
eSolutions Manual - Powered by Cognero Page 1
6-4 Proportional and Nonproportional Relationships
Determine whether the set of numbers in each table is proportional. Explain.
62/87,21
Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
62/87,21
Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
62/87,21
Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
Step-by-step explanation: sorry the answer is C
A $95 graphing calculator is on sale for $85.50.
The percent decrease is _____.
9%
1%
10%
9.5%
Answer:
10%
Step-by-step explanation:
moo
Write an
explicit formula for
an,
then
th
term of the sequence 100, 20, 4, ....
Answer:
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
Try it. We have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4 which is just what the series says should be the answer.
answer asap please!!
Answer:
Sorry didn't know everything
Step-by-step explanation:
1. b
2.
3. f
4. H
5.a
6.c
7.d
8.
9.
10. I
Answer:
1. x= 3
2. x= -30
3. x= 31/3
4. x= -3
5. x= 2
6. x= -24
7. x= -5
8. x= -55
9. x= -2
10. x= 4
Step-by-step explanation:
(x/4) < -1.5 why not pls answer
Answer:
x < -6
Step-by-step explanation:
Please help me with the question below.
Answer:
Alicia is correct
Step-by-step explanation:
The triangles are similar, then ratios of corresponding sides are equal, that is
left triangle to right triangle gives
[tex]\frac{r}{k}[/tex] = [tex]\frac{s}{m}[/tex]
Thus Alicia is correct. Jason has the incorrect sides on the second ratio
Given that a = 7.4 cm and b = 2.5
cm, work out the perimeter of the
triangle.
Give your answer rounded to 1 DP.
Answer:
3
Step-by-step explanation:
its 8 because if you round it by 1 then you get 3
A small town has two local high schools. High School A currently has 850 students
and is projected to grow by 35 students each year. High School B currently has 700
students and is projected to grow by 60 students each year. Let A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.
Answer:
For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.
Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].
After 6 years the number of students in both high schools would be the same.
Step-by-step explanation:
For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.
Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].
Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].
Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]
So after 6 years the number of students in both high schools would be the same.
Solve for the measure
Answer:
A) 130°
Step-by-step explanation:
Angle UTV = angle YTX = 75°
Angle VTW = 55°
so UTW = 75 + 55
if this helps, please give brainliest if possible
Answer:
A
Step-by-step explanation:
∠ UTV = ∠ YTX = 75° ( vertically opposite angles )
∠ VTW = 55° ( angle at centre is equal to arc that subtends it )
Then
∠ UTW = ∠ UTV + VTW = 75° + 55° = 130° → A
ill mark u brainliest if u get it right
12 + (-4) + 5j + -2j + 5
I NEED HELP WITH THIS AND IT NEEDS TO BE IN STEP BY STEP CAN SOME ONE HELP ME SOLVE THIS!!!!!!!!!!!!!
Answer:
12+(-4)+5j+(-2j)+5
=12-4+5j-2j+5
=8+3j+5
=13+3j
Which sentence uses correlative conjunctions?
A. On her way to the park, Letty found both a purse and a cell phone.
B. Fred wanted to play his video game, but he had to finish his homework first.
C. Angie added up her allowance and found that she had enough to buy the sports shoes.
D. In art class, we all had to draw the still life, or we would not be ready to paint it the next day.
Answer: It's A if not put B
Step-by-step explanation:
Since correlative conjunctions are used to connect parts of a sentence with equal value, we only need to use a comma when two independent clauses are being connected with correlative conjunctions.Correlative conjunctions include pairs such as “both/and,” “either/or,” “neither/nor,” “not/but” and “not only/but also.
2. Ajar contains 10 marbles, 6 marbles are red, and 4
marbles are blue. If 2 marbles are chosen one at a time
without replacement, what is the probability that the first
marble will be blue and the second marble will be red?
A: 3/16 B: 6/25 C: 1/8 D : 12/45
Independent or Dependent:
Final Answer:
Answer:
A
Step-by-step explanation:
Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.
plz help i will give brainiest
Answer:
So I'm guessing its
x| -7, -6, -5, -4, -3
y| -2, 1, 4, 1, 2
Step-by-step explanation:
The answer I got was its a vertex. so yeah. and I think you just put the -2 on the Y
Tell whether the two rates form a proportion: 25 cars in 5 days: 60 cars in 12 days.
yes or no?
Answer:
Not sure but i think its a yes
Step-by-step explanation:
25 divide by 5 = 5 60 divide by 12 =5
Find the total surface area of the rectangular pyramid.
7 ft
t
6 ft
0 120 12
O 168 112
8412
O 204?

Answer:
I can't really understand the wording but..
Step-by-step explanation
The formula for surface area of a rectangular prism is A=2(wl+hl+hw)
so yeah enjoy freedom for the rest of the day
Kelly makes $500 a week selling cars and $200 per car she sells. What is the slope in terms of the problem?
Answer:
y=200x+500
Step-by-step explanation:
Kelly gets a fixed pay of $500 and also $200 for every car she sells
500 is the constant and 200 is the linear earning
the linear equation formula is y=mx+b
substitute your numbers in and you get:
y=200x+500
Please need help will give brainliest
Answer:
[tex]18.3 \times 4.25 = 77.775[/tex]
A toy is on sale for $28.50. If the tax rate is 6.25%, what is the total cost of the toy?
Answer:
30.28
Step-by-step explanation:
6.25 percent of 28.50 is 1.7815 1.78 rounded
28.50+1.78=30.28
YALL HELP ME PLEASE ITS URGENT
20yz/28xyz simplify.
Answer:
5/7X
Step-by-step explanation:
cancel Y and Z from both sides
get the HCF (highest common factor) between 20 and 28 which is 4
then divide both sides with 4
the final answer will be:
5/7X
POSSIBLE POINTS: 0.83
On Saturday, Breanne drove 25 miles. On Sunday, she
drove 125 miles. The number of miles Breanne drove on
Sunday is what percent of the number of miles she drove
on Saturday?
%
Answer: 500%
Step-by-step explanation:
125 / 25 = 5 = 500%
We can check this answer by doing 5×25 = 125 so our answer is correct.
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Select all the statements that describe the expression 5 + 2x
A.The expression represents 5 plus 2 plus x.
B.The expression represents 5 plus 2 times x.
C.The expression represents 5 plus x plus 2
D.The expression represents the product of 2 and X plus 5.
E.The expression represents the sum of 5 and 2x.
F.The expression represents the product of 5 and 2x.
can yall plzz help me i feel supid
1. Find 10% of 20 1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
Answer:
10% of 12 = 0.1 * 12 = 1.2
10% of 20 = 0.1 * 20 = 2
PLEASE HELP
Evaluate the following expressions using the distributive property:
Answer:
You multiply the number outside the parentheses by each one I side the parentheses. Following the distributive property, you have to "distribute" the multiplication, so each number/variable gets multiplied by the first number.
Hope this helps!
The poster that lists the classroom rules in Mrs. Akin’s classroom has a length of 2/3 yard and a width of 3/4 yard.
It is C
3/4* 2/3= 6/12=1/2
I know it was kindda tricky but its a simpile question
Solve for b.
3-2(b-2)=2-7b3−2(b−2)=2−7b
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
Please help!!!!!!! Tysm!!
Answer:
it's the first answer
Step-by-step explanation:
its 2/9 because 1/3 × 2/3 = 2/9
Answer:
It's C
Step-by-step explanation:
1/3 x 2/3 = 2/9, which simplifies back to 1/3
and 1/3=2/6