The graph shows the number of cycles of a crosswalk signal during the day and during the night.
Answers
Answer:
Step-by-step explanation:
a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.
For day periods,
Let the equation is, y = mx
Since, this line passes through (2, 80),
80 = 2m
m = 40
Therefore, equation for the day periods will be,
y = 40x
For night periods,
Let the equation is, y = mx
Since, this lines passes through (3, 90),
90 = 3m
m = 30
Therefore, equation of the line is,
y = 30x
b). For x = 6 hours,
Number of cycles in the day (y) = 40 × 6 = 240
Number of cycles in the night (y) = 30 × 6 = 180
Therefore, difference in the cycles in day and night = 240 - 180 = 60
Related Questions
Find the slope of the line y=-6x-4. Type your answer as an integer.
Answers
Answer:
The slope is -6
Step-by-step explanation:
In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept
Therefore, -6 is slope and -4 is y-intercept
cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report
Answers
Answer:
[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1Step-by-step explanation:
Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolutionLet's rewrite the given as:
[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]Let the value is m and the expressions under 3rd roots are a and b, then we have
a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛bCube the both sides:
m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]Simplify in bits:
a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5So the expression becomes:
m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15mSolve for m:
m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real rootsThe answer is 1
Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Write an equation to represent this problem and then solve it. Show all your steps.
Answers
Answer:
30 minutes each evening
Step-by-step explanation:
5.25 / 7 = 0.75 hours each day = 45 minutes
45 - 15 = 30 minutes
The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the median low temperature in International Falls for the first week of the month?
6 -9 -29 -31 -8 4 3
anwsers
a -9
b -9
c -8
d -31
Answers
Which relation is a function?
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
Answers
Answer:
A
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
A function can be one-to-one and many-to-one but can not be one-to-many.
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can be one-to-one and many-to-one but can not be one-to-many.
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
This is not a function because we have one-to-many.
(1, 0) and (1, 1) are one-to-many.
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8).
This is a function because it satisfies the function.
The given relation are one-to-one.
C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
This is not a function because we have one-to-many.
(2, 7) and (2, 1) are one-to-many relations.
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
This is not a function because we have one-to-many relations.
(4, -2) and (4, 2) are one-to-many relations.
Thus,
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
what is the value of -3(7+5)/ 3^2 + 9(2)
A. -6
B. -2
C. 14
D. 22
Answers
Answer: C.
Step-by-step explanation: 14
Answer:
C. 14
Step-by-step explanation:
Simplify the expression.
-3(7 + 5) ÷ 3² + 9(2)
-3 ⋅ 12 ÷ 3² + 9(2)
-36 ÷ 3² + 9(2)
Simplify each term.
Raise
-36 ÷ 9 + 9(2)
Divide
-4 + 9(2)
Multiply
-4 + 18
Add
14
good luck, i hope this helps :)
please help
travelling 14m to the right first and travelling 19m to the left . calculate the final position
Answers
Answer:
5 meters to the left
Step-by-step explanation:
Given that :
First travel : 14 meters to the right
Second travel : 19 m to the left
Final position :
First travel - Second travel.
(14 m - 19m)
Final position = - 5 m
-5m = 5 meters to the left.
Plzzzz help ASAP!!!!!!
Answers
Answer:
J+9=S
Step-by-step explanation:
Answer:
j+9=s
Step-by-step explanation:
Solve the equations
3a + b = 10 and 2a + 4b =0.
3a + b = 10
2a + 4b=0
Answers
Answer:
a = 4 , b = -2
Step-by-step explanation:
3a + b = 10
2a + 4b = 0
(By using elimination method, eliminate one variable) - to get only one equation
(3a + b = 10 ) 4
2a + 4b = 0
12a + 4b = 40
(minus)
2a + 4b = 0
10a = 40
a = 40/10
a = 4
(substitute a into an equation to get b)
2a + 4b = 0
2(4) + 4b = 0
4b = 0 - 8
b = -8/4
b = -2
Find the Surface Area of the following figure:
16 ft
10 ft
7 ft
Answers
Answer:
1120
Step-by-step explanation:
Jaxson drives 15 miles in 10 minutes. If he drove one hour in total at the same rate, how far did he go?
Answers
Answer:
90 miles
Step-by-step explanation:
15 miles/10 minutes = x miles/60 minutes
10*6=60 so 15*6=90
A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What is the total cost of the helmet?
Answers
Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.
50-15 = $35, the sale price of the helmet.
For the sales tax, again, convert to a decimal by dividing by 100 = 0.06
35 x 0.06 = 2.10, the amount of sales tax
$35 + $2.10 = $37.10, total cost with tax
. A and B are vertical angles. If mA = (5x – 28) and
mB = (3x + 4)º, find the measure of each angle.
Answers
Answer:
measure of both angles is 52°
x = 16
Step-by-step explanation:
5x - 28 = 3x + 4
2x - 28 = 4
2x = 32
x = 16
Plug in 16 for 'x': 3(16) + 4 = 48 + 4 = 52°
Answer:
Both are 56°
Step-by-step explanation:
5x-28=3x+4
x=16
5(16)-28= 56°
What is the slope of the line that passes through the points (10,8) and (-15,18) wrote the answer in simplest form
Answers
Answer:
-2/5
Step-by-step explanation:
Simplify: (9a* - 5a'-1)+7a*
Answers
Answer:
The answer is -2a because first you multiple the number and eliminate redundant perenthese then last combine like terms and that how you get -2a
What does the graph of a geometric sequence look like?
Answers
here is one I hope this helps lol I'll follow u if u follow me
Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.
Answers
Answer: 14.66 in
Step-by-step explanation:
HELP PLS I GIVE BRAINLIEST
Answers
Answer:
1. $200
2. $65
3. $70
Step-by-step explanation:
1. 4x50=200
2. 200-135= 65
3. 135-65= 70
which relation represents a function
Answers
A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.
Answers
Answer:
this will be the correct answer
What is the slope of the line
help me plz
Answers
Answer: 2/3
Step-by-step explanation:
y=mx+b
Answer:
2/3
Step-by-step explanation:
the equation is in y=mx+b form and m=slope so 2/3 would be the slope.
hope this helped :)
To get into an amusement park, people have to pay an entrance fee. Then they pay additional amount for each ride
(every ride costs same amount of money). John rode 8 rides and spent a total of $32 (including the entrance fee). Michael
rode 11 rides and paid $41. How much was the entrance fee and the cost of each ride?
Answers
Answer:
entrance fee: $8
cost of each ride: $3
3 pencils cost $0.45. What is the cost per pencil?
Answers
Answer:
0.15
Step-by-step explanation:
My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest
Answers
Answer:
MONDAY: 2 hours
Tuesday: $34.65
Thursday: -54
Friday: 5 complete bags
Sorry that I did not do the question below wednesday but I still hope this helps.
Pls mark me brainliest.
solve for x please thanks
Answers
Answer:
x=[tex]\frac{10}{14}[/tex]
Step-by-step explanation:
y=7x-2
2(7x-2)-4x=10
14x-4-4x=10
14x-4x=10-4
10x=14
x=[tex]\frac{10}{14}[/tex]
Help me plsssss!!!!!!!!
Answers
Answer:
use math -way it helps a lot
Step-by-step explanation:
What is the slope of a line parallel to the line with equation 2x+4y=8
Answers
Answer:
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.
So,
2x + 4y = 8
4y = -2x + 8
[tex]y=\frac{-2x +8}{4}[/tex]
[tex]y=\frac{-2}{4}x+\frac{8}{4}[/tex]
[tex]y=\frac{-1}{2}x+2[/tex]
The slope is the coefficient of the x term, so
m = [tex]\frac{-1}{2}[/tex]
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
2x+4y=8
4y = -2x +8
y = [tex]-\frac{2}{4}[/tex]x + [tex]\frac{8}{4}[/tex]
y = [tex]-\frac{1}{2}[/tex]x + 2
y=mx+b so the slope is m=[tex]-\frac{1}{2}[/tex].
parallel lines have the same slope.
find the value of y
Answers
Answer:
Step-by-step explanation:
[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]
Answer:
The answer is
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
By using Pythagoras
Then
[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answers
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
express in exponential form 200×75
Answers
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
