Answers
Answer:
a) i) The drawing of Zeno's route is attached
ii) The bearing of Zeno's return journey is 241° from point C to point A
b) Yes, Zeno returns to Port A before 5.15pm
Step-by-step explanation:
a) i) Please find attached the drawing of Zeno's route
ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A
b) The distance from point C to point A = 10·√5 km
The speed with which Zeno sails as he returns = 10 km/h
The time it takes Zeno to return t = Distance/Speed
∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds
The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.
Therefore, Zeno returns to Port A before 5.15pm.
Related Questions
7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")
Answers
It's false and same lol
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answers
Answer:
Step-by-step explanation:
How many albums are in Sal’s collection?
Answers
Answer:
too hard!! (jkk)
Step-by-step explanation:
188 albums.
Add all numbers together and you should get 188
Need help pleaseeeee:)
Answers
Answer:
75 + 64 = 139
Step-by-step explanation:
The measure of the exterior angle is 139
Answer:
2= 139
Step-by-step explanation:
A triangle is 180 degrees.
64+75= 139
180-139=41
A line is also 180 degrees
180- 41= 139
Please help look at the picture attached need answers ASAP
Answers
ASAP can someone help and explain this to me
Answers
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]Need help ASAP please
Answers
Answer:
$45
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio.
$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus
3 parts = 3 × $15 = $45 ← amount David received
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
1 y=8x + 5
Linear or non-linear
2 y= -x + 5
3 y=0.75x - 2
4 y = -2x exponent 2 + 1
Thanks for the help with this stander mastery
Answers
Please help is this undefined or 0?
Answers
Answer:
0
Step-by-step explanation:
A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Answer:
0
Step-by-step explanation:
Undefined slopes are vertical, this is horizontal
hope this helps
For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answers
Answer:
2Girls:3Boys
Step-by-step explanation:
gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg
1. Transform AABC by the formula (x, y) + (x - 2,y - 1) in order to find the
x-coordinate of A'.
Pls
Answers
Answer:
Left 2 and down 1
Step-by-step explanation:
A gear rotates eight times every 15 seconds how many seconds does it take to rotate 24 times
Answers
Answer:
360
Step-by-step explanation:
Answer:
It would take 45 seconds for a gear to rotate 24 times.
Step-by-step explanation:
8 goes into 24 three times. Just multiply 15 by three.
Hope this helps!
At a local amusement park 70% of the rides are 48 inches taller if there are 80 rides in total how many are made for kids who are 48 inches and taller?
Answers
Answer:
56 rides
Step-by-step explanation:
Total number of rides = 80 rides
If 70% of the rides are 48 inches taller, the total number of rides 70% taller wil be;
Rides 48 inches taller = 70% * 80
Rides 48 inches taller = 0.7 * 80
Rides 48 inches taller = 56
Hence the total rids made for kids that are 48inches taller is 56 rides
Web Gamer sells texture packs for video games. They charge an initial $5.50 software set-up fee and $15 for each texture pack purchased through their website. Which equation represents the situation?
Answers
Answer:
y=15x+5.50
Step-by-step explanation:
the y intercept or initial fee is 5.50 as written in the problem and the slope is 15 and a key word for that is each. meaning that y=15x+5.50
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answers
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
Answers
If QS and TƯ
are parallel lines and
m
55°, what is m
Answers
Answer:
m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.
hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)
Step-by-step explanation:
Ill give brainly for the best one hurry!
Answers
Answer:
20
Step-by-step explanation:
20 may be answer for this may be
please please please help me on this i'll give 14 points to whoever answers
Answers
75% sure
A pizza buffet has prepared 18 pizzas to place on the line at the beginning of lunch at 11:00 a.M. The equation y 14x + 18 can be used to describe the total number of pizzas that have been placed out on the buffet line, where x represents every 9 minutes after 11:00 a.M. Which statement best describes the rate of change in the number of pizzas set out on the buffet?
Answers
Answer: b. Every 18 minutes, 28 more pizzas were set out on the buffet.
Step-by-step explanation:
The equation is in the form: y = mx + c
m is the gradient which represents the rate of change per a given value of x.
x here is every 9 minutes after 11:00. Every 18 minutes therefore will give x a value of 2 because 18/9 = 2.
The rate of change every 18 minutes is therefore;
= 14 * 2
= 28 pizzas
Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)
Answers
Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Step-by-step explanation: Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
2
:
Equation at the end of step 2
(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
3
:
Equation at the end of step 3
((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
4
:
Multiplying Exponential Expressions:
4.1 Multiply (x-4) by (x-4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-4) and the exponents are :
1 , as (x-4) is the same number as (x-4)1
and 1 , as (x-4) is the same number as (x-4)1
The product is therefore, (x-4)(1+1) = (x-4)2
Equation at the end of step
4
:
(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
5
:
5.1 Rewrite (1-x) as (-1) • (x-1)
Multiplying Exponential Expressions:
5.2 Multiply (x-1) by (x-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are :
1 , as (x-1) is the same number as (x-1)1
and 1 , as (x-1) is the same number as (x-1)1
The product is therefore, (x-1)(1+1) = (x-1)2
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
-x - 2 = -1 • (x + 2)
Multiplying Exponential Expressions:
7.2 Multiply (x + 2) by (x + 2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+2) and the exponents are :
1 , as (x+2) is the same number as (x+2)1
and 1 , as (x+2) is the same number as (x+2)1
The product is therefore, (x+2)(1+1) = (x+2)2
STEP
9
:
Pulling out like terms
9.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Multiplying Exponential Expressions:
9.2 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)(1+1) = (x+3)
((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
10
:
Equation at the end of step 10
(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
11
:
STEP
12
:
Pulling out like terms
12.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
12
:
((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
13
:
STEP
14
:
Pulling out like terms
14.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
14
STEP
15
STEP
16
:
Pulling out like terms
16.1 Pull out like factors :
-x - 4 = -1 •
Equation at the end of step
16
:
STEP
17
:
STEP
18
:
Pulling out like terms
18.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Multiplying Exponential Expressions:
18.2 Multiply (x + 4) by (x + 4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
Equation at the end of step
18
:
(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)
STEP
19
:
STEP
20
:
Pulling out like terms
20.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Multiplying Exponential Expressions:
20.2 Multiply (x + 1) by (x + 1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+1) and the exponents are :
1 , as (x+1) is the same number as (x+1)1
and 1 , as (x+1) is the same number as (x+1)1
The product is therefore, (x+1)(1+1) = (x+1)2
Equation at the end of step
20
:
((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)
STEP
21
:
21.1 Rewrite (2-x) as (-1) • (x-2)
Multiplying Exponential Expressions:
21.2 Multiply (x-2) by (x-2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-2) and the exponents are :
1 , as (x-2) is the same number as (x-2)1
and 1 , as (x-2) is the same number as (x-2)1
The product is therefore, (x-2)(1+1) = (x-2)2
22.1 Multiply (x-3) by (x-3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-3) and the exponents are :
1 , as (x-3) is the same number as (x-3)1
and 1 , as (x-3) is the same number as (x-3)1
The product is therefore, (x-3)(1+1) = (x-3)2
Final result :
(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Han wants to buy a $30 ticket to the game but the pre-order tickets are sold out he knows that there will be more tickets sold the day of the game with a mark up of 200% how much should han accept To pay for the tickets if he buys it the day of the game
Answers
Answer:
Solution in photo
Step-by-step explanation:
Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100 random tests. For example, if the probability of success is 0.20 and the number of trials is 100, then the number of successes is 20.
give a real answer please this is important for my grade
Answers
Step-by-step explanation:
How do you calculate number of successes?
Example:
Define Success first. Success must be for a single trial. Success = "Rolling a 6 on a single die"
Define the probability of success (p): p = 1/6.
Find the probability of failure: q = 5/6.
Define the number of trials: n = 6.
Define the number of successes out of those trials: x = 2.
Binomial probability distribution for the given set of data is
[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex].
What is binomial probability distribution?"Binomial probability distribution is the representation of a probability with only two outcomes success and failure under given number of trials."
Formula used
Binomial probability distribution is given by
[tex]\\n{C}_{x}p^{x}q^{n-x}[/tex]
n= number of experiments
x = 0, 1, 2, 3,.......
p = probability of success
q = probability of failure
According to the question,
Number of trials 'n' = 100
Probability of success 'p' = (20 / 100)
= 0.20
Probability of failure 'q' = 1 - p
= 1 - (20/100)
= (80 / 100)
Substitute the value in the formula we get
Required probability = [tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]
Example:
Tossing a coin 6 times getting exactly two heads.
Number of trials 'n' = 6
Number of heads 'x' =2
Only two possible outcomes head or tail
Probability of getting head 'p' = 1 / 2
Probability of not getting head 'q' = 1 /2
Required probability = [tex]\ 6C_{2[/tex] (1/2)²(1/2) ⁶⁻²
=[tex]\ 6C_{2[/tex] (1/2)⁶
Hence, binomial probability distribution for the given set of data is
[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]
Learn more about binomial probability distribution here
https://brainly.com/question/14210034
#SPJ2
Write an equation of the line that passes through (-2,3) and (0,8).
Answers
Answer: y = 5/2 x + 8
Step-by-step explanation:
Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2
y = 5/2 x + b
8 = 5/2 (0) + b
8 = b
y = 5/2 x + 8
An item on sale costs 95% of the original price. If the original price was $40, what is the sale price?
Answers
Answer:
38%
Step-by-step explanation:
Is that an answer choice ?
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Enter your answer in the box.
Answers
Answer:
6%
Step-by-step explanation:
percent = part/whole * 100%
percent = 912/15,200 * 100%
percent = 6%
The area of a rectangle is 8x4. If the length is
2x3, find the width.
Answers
A = L x W
W = A/L
W = 32/6
W = 5.333
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain your reasoning.
Answers
Answer:
34 ounces were in the full bottle , The second time he poured about 7.48 ounces
Step-by-step explanation:
20 times 5 = 100 so,
6.8 times 5 = 34
PART 2
Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answers
Answer:
Solution in photo
Step-by-step explanation:
On a farm 14 goats are male, and 11 of them are female goats. What percentage of these goats are male
Answers
Answer:
14/0.25=56% of goats are male
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Add the number of female and male goats (25), then divide the number of male goats (14) by 25 and you get 56%