Review the graph of y = sin(x). Based on the graph, what are the domain and range of the sine function? Y 3+ 2+ domain: [0, 2TT); range: [-1, 1] O domain: (-1, 1); range: [0, 2TT) domain: (-1, 1); range: (-0, 0) domain:(-0, 0); range: [-1, 1] I JT 57 Зл 4 Зл 7л 2 2 4 -1+ -2+ -3+
Answer:
The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D
Step-by-step explanation:
In any function,
Domain is the values of x
Range is the values of y corresponding to x
In the function y = sin(x),
∵ The graph ends with arrows
→ That means there is many cycle not 1 cycle
∴ x ∈ R
→ That means x can be any value from -∞ to ∞
∵ x is the domain of the function
∵ R is the set of real numbers
∴ Domain = {x : x ∈ R} = (-∞, ∞)
∵ sin([tex]\frac{\pi}{2}[/tex]) = 1
∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]
∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1
∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]
∴ -1 ≤ y ≤ 1
∵ y is the range of the function
∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]
∴ The right answer is domain: (-∞, ∞); range: [-1, 1]
Answer:
D: domain: (–ꝏ, ꝏ); range: [–1, 1]
Step-by-step explanation:
Hope this helps whoever needs more clarification.
2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?
Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
If you answer someone's question=1 brainliest
Answer:I'mconfused
Step-by-step explanation:
Kelly gets a Sonic drink everyday. If she uses her app she gets the drinks for 1/2
off the price of the drinks. If the drinks are normally $1.88 which equation could
be used to find y (the cost) of x (number of drinks) she purchases if she uses her
app?
Answer:
6.58
Step-by-step explanation:
divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.
Answer:
1.88/2 0.94x7 for one week Kelly will pay $6.58 for a sonic drink
the answer is B
Step-by-step explanation:
1.88/2= 0.94
0.94x7=6.58
for one week Kelly will pay $6.58 for a sonic drink
hope this helps:) have a good day :)
A person is shopping for cereal, oranges, and eggs at a grocery store. Which of the following is an INPUT in this scenario?
The number of cereal boxes purchased
The cost per pound of oranges
The amount paid for eggs
Answer:
i got this on edg its b
Step-by-step explanation:
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60
Answer:
The values which are added to the table are;
Sea turtles = 1, Jellyfish = 3
Sea turtles = 4, Jellyfish = 12
Jellyfish = 24, Sea turtles= 8
Sea turtles = 14, Jellyfish = 42
Jellyfish = 60, Sea turtles= 20
Step-by-step explanation:
The given parameters are;
The ratio of sea turtles to jellyfish = 4:12
Therefore, the ratio of sea turtles to jellyfish = 1:3
Which gives;
When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes
When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes
When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles
When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes
When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles
The values given in the table can be presented as follows;
Number of Sea Turtles [tex]{}[/tex] Number of Jellyfish
1 [tex]{}[/tex] 3
4 [tex]{}[/tex] 12
8 [tex]{}[/tex] 24
14 [tex]{}[/tex] 42
20 [tex]{}[/tex] 60
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
At what
interest rate
would Dalton have
to have to invest $3,600
to double his money in 10 years?
Answer: I think beetlejuice post the answer here look up jewtube
(Will Give Brainliest if Correct)
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54
Answer:
y=3.54m
Step-by-step explanation:
i already answered it
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!
In a linear equation of the form y = mx + b, as b increases, what happens to the line?
Which of these choices is the correct answer?
The line moves up.
The line gets steeper.
The line moves down.
The line moves to the right
None of these describes how the line changes.
Answer: A) The line moves up
The b determines the y intercept
For example, y = 2x+5 has a y intercept of 5
Another example, y = 2x+6 has y intercept 6
The value of b has gone up by 1, so the graph shifts up by 1.
See the diagram below.
The slope stays the same, so both lines are parallel.
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
are some integers irrational
The graph represents one side of the roof of a building.
Answer:the answers are: 0,1 and 2,7 and 4, 14
Step-by-step explanation:
Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8
Find the distance from P(6,-9) to the origin.
Please helppp
Answer:
10 units
Step-by-step explanation:
Distance from P(6, -9) to O ( 0, 0 ) PO
Let
X1 = 6 X2 = 0
Y1 = -9 Y2 = 0
Formula of Distance
[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]
[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]
[tex]\sqrt{100}[/tex]
10 units
The graph of y = 4 – StartRoot 2 x EndRoot is shown.
On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).
Which statement about the graph is accurate?
The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.
Answer:
c
Step-by-step explanation:
its the only answer that makes sense
Answer:
C
Step-by-step explanation:
it makes complete 100% sense
A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.
Answer:
32.25 necklacesStep-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
Solve 5(x + 3) = 3x - 4
Show clear algebraic working,
Answer:
5(x + 3) = 3x - 4
=> (5 * x ) + (5 * 3) = 3x - 4
=> 5x + 15 = 3x - 4
=> 5x = 3x - 4 - 15
=> 5x - 3x = -4 - 15
=> 2x = -19
=> x = -19/2
=> x = -9.5
If my answer helped, kindly mark me as the brainliest!
Thank You!!
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 
Answer:
The area of the triangle is 12 unit²
Step-by-step explanation:
The vertices of the triangle are;
a(2, 5), b(5, 9), and c(8, 5)
The area of a triangle given coordinates can be given by the following determinant;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]
Therefore, we have;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]
Utilizing an online determinant calculator, we have;
[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]
Therefore, the area of the triangle is 12 unit².
Work out the value of (2x10^4)+(7x10^3) in standard form
Answer:
27000xStep-by-step explanation:
Answer:
27000
Step-by-step explanation:
(2 * 10^4) + ( 7 * 10^3)
rewrite in standard form
20000 + 7000
solve
= 27000
Can you guys help please!! Due very soon!
the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.
Hope thishelps!
at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25
How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The first step is to subtract 29.25 from 17.50
You get 11.75
Then divide 11.75 to 2.35
You get 5.
The reason you do these steps is because,
since you paid 17.50 for the pizza the rest is toppings so...
so you subtract from the total to see how much the toppings were worth in total...
you divide 2.35 from that to show how many toppings there would be
Answer:
D. 5
Step-by-step explanation:
Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.
You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.
Comment if you need more help :)
help me pleaseeeeeeeeeeeeeeeeeeeeeee
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].
One meter is approximately 3.28 feet. Find the height of each building in feet by multiplying its height in meters by 3.28. Carlton Centre Office Tower is about feet tall. Burj Khalifa is about feet tall. Q1 Tower is about feet tall. The Shard is about feet tall. Willis Tower is about feet tall. Gran Torre is about feet tall.
Complete question :
Continent _________building _height(m)
________Carlton center office tower _ 223m
_________ burj Khalifa ____________828m
_________ QI ________________323
_________ the shard _________310
_________ Willis tower _______442
_________ grand torre ______300
Answer:
Kindly check explanation
Step-by-step explanation:
1 meter is approximately 3.28 feets
Height of the buildings in feets is obtained by multiplying the height in meters by 3.28
Carlton center office tower = (223 * 3.28) = 731.44 feets
Burj Khalifa = (828 * 3.28) = 2715.84 feets
QI = (323 * 3.28) = 1059.44 feets
The Shard = (310 * 3.28) = 1016.8 feets
Willis tower = (442 * 3.28) = 1449.76 feets
Grand Torre = (300 * 3.28) = 984 feets
Can you guys please help me!!!!
Answer:
The graph of y = x^3 has been translated 3 units to the right and 4 units upward
Thanks and have a great day!
-2(x -3) what number should be distributed
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
Darrius bought 3 gallons of ice cream for $9.50 how much will it cost him if he wants 7 gallons?
Answer:
Its going to cost him 22.167
Step-by-step explanation:
Divide $9.50 by 3 = 3.167
multiply it by 7= 22.167