Answer:
1/27
Step-by-step explanation:
The chance of getting X is ⅓. The chance of getting X then Y is ⅓², or ⅑. Finally, the chance of getting X, then Y, then Z is ⅓³, or 1/27
Answer:
1/27
Step-by-step explanation:
Sandra bought 4 pounds of sweet potatoes for $5.36. What is the cost per pound of
the sweet potatoes?
A. $0.75
B. $1.34
C. $1.26
D. $9.36
Answer:
B. $1.34
Step-by-step explanation:
5.36 ÷ 4
=536×1/4×1/100
=536/400
=1.34
MARKING BRAINLYEST IF ANSWERED UNDER 10 MINUTES
The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f of theta equals 2 times sine theta plus radical 2 period
Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. (5 points)
Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? (5 points)
Part C: A toddler is jumping on another pogo stick whose length of its spring can be represented by the function g of theta equals 1 minus cosine squared theta plus radical 2 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)
Answer:
0
Step-by-step explanation:
So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.
Hence, the values for different conditions were calculated with the help of trigonometric functions.
Part A
θ=kπ
Where k is an integer k=0,1,2..
Part B
θ=[tex]k\frac{\pi }{2}[/tex]
Where k is an integer k=0,1,2..
Part C
θ=kπ
Where k is an integer k=0,1,2..
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths
Part A
Given that,
f(x)=2sinθ+[tex]\sqrt{2}[/tex]
Non compressed length = [tex]\sqrt{2}[/tex]
Then
2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]
2sinθ=0
sinθ=0
Therefore θ is the integer multiple of π
θ=kπ
Where k is an integer k=0,1,2..
Part B
Here angle is doubled
Then,
2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]
2sin2θ=0
sin2θ=0
Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]
θ=[tex]k\frac{\pi }{2}[/tex]
Where k is an integer k=0,1,2..
Part C
g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]
Here
f(x)=g(x)
2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]
2sinθ=1-[tex]cos^{2}[/tex]θ
we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ
2sinθ=[tex]sin^{2}[/tex]θ
sinθ=0
Therefore θ is the integer multiple of π
θ=kπ
Where k is an integer k=0,1,2..
Hence, we have solved that
Part A
θ=kπ
Where k is an integer k=0,1,2..
Part B
θ=[tex]k\frac{\pi }{2}[/tex]
Where k is an integer k=0,1,2..
Part C
θ=kπ
Where k is an integer k=0,1,2..
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Answer every question. Show your work.
1. A ticket at the NBA championship game costs $200 each. You will be given a discount of 8% if you buy early. a) How much will you pay if you buy early. b) Opps the tax is 4.5%. c) How much will you pay including tax? Your two brothers will go with you. d) How much will you pay for your two brothers? e) Do you still have money for popcorn if your parents will give you $570.00?
PLEASE SHOW YOUR WORK
Answer:
Step-by-step explanation:
1. A ticket at the NBA championship game costs $200 each. You will be given a discount of 8% if you buy early.
Your parents gave your $570
a) How much will you pay if you buy early.
$200 * 0.08 = $16 (how much you get off)
$200 - $16 = $184
This means that you will pay $184 for each ticket if you buy early.
b) Opps the tax is 4.5%.
4.5/100 = 0.045
$184 * 0.045 = $8.28 (how much you will be paying for tax)
c) How much will you pay including tax?
$184 + $8.28 = $192.28
d) How much will you pay for your two brothers?
You + your two brothers = 3 people
$192.28 * 2 = $384.56
Total for all 3 people: $192.28 + $384.56 = $576.84
e) Do you still have money for popcorn if your parents will give you $570.00?
The total cost of the tickets for you and your brothers is $576.84.
$576.84 is greater than $570.
So, no. You won't have money for popcorn.
Hope this helps!
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34.
What is the surface area of the image after the dilation?
185 5/8 m²
219 3/8 m²
247 1/2 m²
292 1/2 m²
Answer:
Explanation:
11x5=55
11x13=143
5x13/2=32.5
55+32.5+143=230.5
230x185 5/8 m²=42 693.75 m2
230x219 3/8 m²=50 456.25 m2
230x247 1/2 m²=56 925 m2
230x292 1/2 m²=67 275 m2
I DO NOT 100% KNOW IF THESE ARE CORRECT
Answer:
247 1/2 m 2
Step-by-step explanation:
have a good day
Find the area of the irregular figure in the diagram.
Answer:
15 because there are 15 squares i counted
Step-by-step explanation:
56 cookies.Each cookie cost 2.95, including tax. Of the cookies she made 1/4 of them were lemon.How much money will be made if they sell the lemon cookies
1/4 of cookies
56/414cookiesCost of one cookies =2.95
Total cost
2.95(14)$41.3Answer:
$41.3
Step-by-step explanation:
Each cookie costs,
→ a = $2.95
Lemon cookies (1/4) of 56 cookies is,
→ b = 1/4 × 56
→ b = 56/4
→ [ b = 14 lemon cookies ]
The money made if she sell the lemon cookies alone will be,
→ a × b
→ 2.95 × 14
→ $41.3
Hence, the money made is $41.3.
Nine years ago, Katie was twice as old as Elena was then.
Elena realizes, "In four years, I'll be as old as Katie is now!"
Elena writes these equations to help her make sense of the situation:
[tex]k-9=2(e-9)\\e+4=k[/tex]
If Elena is currently years old and Katie is years old, how old is Katie now?
Answer:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
Jack wants to know how much water a sphere can hold with a diameter of 16 cm. Find the volume. Use 3.14 for pi.
Answer:
2143.57cm^3
Step-by-step explanation:
here we know the volume of sphere is 4/3πr^3 and the total volume of the sphere is the required capacity of the sphere to hold the water
Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
d 4.44 1.80 3.12 3.60 2.16
m 37 15 26 30 18
1. What percent of her income does Elena donate to charity?
%
2. Which quantity, d or m, would be the better choice for the dependent variable in an equation describing the relationship between d and m?
3. Use your answers to write and equation that relates m and d
4.44/37= 0.12
1.80/15= 0.12
3.12/26= 0.12
3.60/30= 0.12
2.16/18= 0.12
1. She donates 12% of her income to charity
2. The quantity, d, would be the better choice for the dependent variable (y) the cost of the donation, depends on her income, if her income increases, the amount donated would increase.
3. d = 0.12m
(my apologize if this is incorrect)
Answer:
Step-by-step explanation:
A CD costs £12 and a T-shirt costs £15, I have £60 to spend. I buy x number of CDs and y number of T-shirts. Write;
A) An expression for the amount of money I spend.
B) An inequality showing the amount of money I spend has to be less than or the same as what I have.
-Can you plot your inequality on a pair of axis?
-Can you use the graph to find the different numbers of CDs and T-shirts I can buy?
Worth 20 points!
Answer:
A: [tex]12x+15y=60[/tex] B: [tex]12x+15y\leq 60[/tex]
Step-by-step explanation:
Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters? (4 points)
150 centimeters
160 centimeters
1,500 centimeters
1,600 centimeters
Answer:
CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)
Step-by-step explanation:
GIVEN:
Walt grew 10 cm in one year
He is now 1.6m
SOLUTION:
We know that 1 m = 100cm
So 1.6 m = 160cm
So one year ago he was:
160 - 10 = 150cm
So he was 150 cm or 1.5 m one year ago.
at a carnival a game was set up so you would spin the spinner and roll a die. the spinner had 6 equal sized sections numbered 1-6 to win the game the spinner and the die had to land on the same number. what is the probability that you would win the game?
Answer:
Step-by-step explanation:
400
The volume of this cone is 1,017.36 cubic inches. The radius is 9 inches. What is the height of this cone?
Answer:
Step-by-step explanation:
The radius of cone = 9 cm
Step-by-step explanation:
Formula : Volume of a cone = , where r= radius , h= height of the cone.
Given: Volume = 1,017.36 cubic centimeters
h = 12 centimeters
Substitute these values in formula , we get
Hence, the radius of cone = 9 cm
Please answer the question of angles! Would you want to be my friend? I love animals because they are cute! I wear glasses! I love to watch Steven Universe, My little pony, and Teen Titans Go!
Answer:
These would be complementary angles.
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
can someone help me solve this question!
?
Solving the Question
We're given:
There were 478 people in total.$1.75 per child$2.25 per adultTotal revenue of $975We must find the number of children and adults who swam.Set variables:Let a represent the number of children who swam.
Let b represent the number of adults who swam.
Create equationsBecause we've set two variables, we need two equations to be able to find the answers.
One of the equations will regard price while the other will regard the number of people, as those are the two things given in the question.
Number of people:
[tex]a+b=478[/tex]
The number of children + the number of adults = 478 in totalPrice:
[tex]1.75a+2.25b=975[/tex]
$1.75 per child + $2.25 per child = $975 in totalSolve equations[tex]a+b=478[/tex][tex]1.75a+2.25b=975[/tex]We can solve this question using substitution, where we plug one equation into the other.
Isolate a in the first equation:
[tex]a+b=478\\a=478-b[/tex]
Plug the first equation into the second equation by replacing a:
[tex]1.75a+2.25b=975\\1.75(478-b)+2.25b=975[/tex]
Solve for b:
[tex]1.75(478-b)+2.25b=975[/tex]
⇒ Open up the parentheses:
[tex]836.5-1.75b+2.25b=975\\836.5-0.5b=975[/tex]
⇒ Subtract 836.5 from both sides to isolate b:
[tex]-0.5b=138.5[/tex]
⇒ Divide both sides by -0.5:
[tex]b=277[/tex]
Therefore, there were 277 adults in total.Solve for a:
[tex]a+b=478[/tex]
⇒ Replace b with 277:
[tex]a+277=478\\a=201[/tex]
Therefore, there were 201 children in total.Answer
There were 201 children and 277 children at the pool that day.
In one to two sentences, describe an impact that division of labor had on the economic growth of the United States. Write two sentences. I will give brainiest for best answer
Answer:
advantages—abundant natural resources, a stable government with relatively lax regulations, and a large workforce—made it the dominant industrial power by the 20th century.
Step-by-step explanation:
The benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.
What is Division of Labor?Division of labor is indeed the division of a work flow into several tasks, each of which is carried out by a different person or group of people. It is one of the fundamental organizational concepts of the production line and is most frequently used in mass production systems.
In any economic organization, the division of work refers to the separation of duties to allow members to specialize. Division of Labor refers to the division of the primary manufacturing process into a number of straightforward sections, each of which is produced by a distinct worker who specializes in producing that particular element.
Thus, the benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.
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Brody earns $14 per hour for the first 40 hours worked in a week and $21 per hour for any hours over 40 that he worked. Brody earned $812 for one week. How many overtime hours did Brody work that week?
Answer:
brody worked 58 hrs
510 boys worked for 12 days and produced 12,000 mat how many boys are needed to produce 10,000 mat in 10 days.
Answer:
1000
Step-by-step explanation:
substitute 510 with 1000 and multiply by 10 to get 10,000
o Mr. Math S. Fun is looking for his missing pair of
socks. He had 8 pairs from the beginning. 1 red pair,
3 blue pairs, 4 green pairs. He uses 7 pairs last week
and he knows he has a pair of socks remaining. He
left clues on what he used each day last week, help
him which among his socks missing?
Answer:
1/3
Step-by-step explanation:
add all of the totals including the missing pair
we now have 24
7+1 is 8
24 minus 8 is 16
24 can be split into 2 groups of 8
and we have 2/3 left. which makes our solution 1/3
Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!
Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
Step 1: Simplify both sides of the inequality.
5y+4≤−y+22
Step 2: Add y to both sides.
5y+4+y≤−y+22+y
6y+4≤22
Step 3: Subtract 4 from both sides.
6y+4−4≤22−4
6y≤18
Step 4: Divide both sides by 6.
6y/6≤18/6
y≤3
Hey there!
Let's solve your inequality step-by-step.
[tex]\fbox{5y+4≤22−y}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\fbox{5y+4≤−y+22}[/tex]
Step 2: Add y to both sides.
[tex]\fbox{5y+4+y≤−y+22+y}[/tex]
[tex]\fbox{6y+4≤22}[/tex]
Step 3: Subtract 4 from both sides.
[tex]\fbox{6y+4−4≤22−4}[/tex]
[tex]\fbox{6y≤18}[/tex]
Step 4: Divide both sides by 6.
[tex]\fbox{6y/6 ≤ 18/6}[/tex]
[tex]\fbox{y≤3}[/tex]
Answer:
[tex]\fbox{y≤3}[/tex]
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Rectangle QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point D'?
Answer:
Step-by-step explanation:
Since the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor. This gives us that D'(36,0).
Can someone please help me with this thanks
Answer:
72
Step-by-step explanation:
that is a right triangle
90-18=72
Please answer the question! (´・ω・`)
supplementary angles are when two angles sum up to 180 degrees.
∠x and ∠y are supplementary angles
===============
∠x + ∠y = 180°∠x + 116° = 180°∠x = 180° - 116°∠x = 64°Answer:
64°
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°.
∠x + ∠y = 180° <== substitute 116° for ∠y
∠x + 116° = 180° <== subtract 116 from both sides
- 116 - 116
∠x = 64° <== measure of ∠x
Therefore, the measure of ∠x is 64°
Hope this helps!
Unit 6, Lesson 18. 6.18 Cool-Down.
i need help!!!!!!!!! how do i do this
Answer:
[tex]4^{2}[/tex]
Step-by-step explanation:
so when you multiply two numbers with the same constant, and different exponents, just add the exponents!
so it is 5 - 3 = 2
so its [tex]4^{2}[/tex]
Answer:
A) 4²
Step-by-step explanation:
[tex](4^5)(4^{-3})\\\\4(^{5-3})\\\\4^2\\\\16[/tex]
Hope this helps!
Find the unique four-digit integer n with these properties:
The last digit (the units digit) of n is 9.
The digits of n add up to 27.
Two digits of n are the same.
n is a perfect square.
Answer:
3,969
Step-by-step explanation:
If n is a perfect square, then the last digits of the prefect square must be 3 or 7 because n ends in 9.
Since n is 4 digits the number can only land between 33 and 97.
(33, 37, 43, 47, 53, 57, 63, 67, 73, 77, 83, 87, 93, 97)
squared- 1089, 1369, 1849, 2209, 2809, 3249, 3969, 4486, 5329, 5939, 6889, 7569, 8649, 9409
possible answers- 2209, 3969, 4486, 5939, 6889, 9409
2+2+0+9 = 13
3+9+6+9 = 27
4+4+8+6 = 22
5+9+3+9 = 26
6+8+8+9 = 31
9+4+0+9 = 22
Please help with 34. a, b, and c
pleasehelp BRAINLIEST
Answer:
1. b
2.a
3.c
4.d
5.e
Step-by-step explanation:
because
Pleas help as soon as possible
ancient bussy swag please help 2 plus 2