Answer:
a) 1000,21000 are the break even number of cars
b) the maximum profit is 200 at 11000 cars
Step-by-step explanation:
P = –2x^2 + 44x – 42
To break even, P =0
0 = –2x^2 + 44x – 42
Factor
0 = -2( x^2 -22x+21)
0 = -2 ( x-21)(x-1)
Using the zero product property
0 = x-21 0 = x-1
x=21 x=1
Remember that x is the number of cars in thousands
When the profit is maximum is at the vertex
The vertex is 1/2 way between the two zeros
(1+21)/2 = 22/2 = 11
11 cars sold
The maximum profit is
P(11) = –2(11)^2 + 44(11) – 42=--242+484-42=200
The maximum profit is 200
Find the value of each variable using sine and cosine. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy and paste the above on to your computer for future reference
n= Hyp
m= adj
8 = Opp
∠=50°
sin(50) = 8/n
n = 8/sin(50)
n = 10.44325
n= 10.4 ( to nearest 10th)
tan(50) = 8 / m
m = 8 / tan(50)
m = 6.712797
m = 6.7 ( to nearest 10th )
:)
help me plzzz plzzzzd
Answer:
C
Step-by-step explanation:
Answer:
D should be the right answer
Step-by-step explanation:
for the other choices the grammar doesn't sound quite right to me
Find x. Round to the nearest tenth
A: 5.0
B: 7.8
C: 3.9
D: 4.6
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )
6 × cos40° = x , then
x ≈ 4.6 ( to 1 dec. place ) → D
The perimeter of the hexagon is 24 m.
What is the value of x?
Answer:
3.5
Step-by-step explanation:
add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5
The value of x in the given hexagon is 3.5 m.
What is the Perimeter of Hexagon?
Perimeter of Hexagon is equal to sum of all sides.
Here, Two sides are 5 m long
and remains 4 sides have length x m.
Perimeter = Sum of all sides
24 = 2 X 5 + 4x
24 = 10 + 4x
4x = 24 -10
4x = 14
x = 14/4
x = 3.5 m
Thus, the value of x in the given hexagon is 3.5 m.
Learn more about Perimeter from:
https://brainly.com/question/6465134
#SPJ2
A plumber charges customers $45 for a service call plus $60 per hour of repair. The expression below can be used to determine the total dollar amount of charges based on h hours of repair.
45
+
60
h
Which expression can also be used to determine the total dollar amount of charges?
A.
105
h
B.
675
h
C.
15
(
3
+
4
h
)
D.
15
(
30
+
45
h
)
Answer:
,
Step-by-step explanation:
What Is The Area Of The Triangle?
Answer:
It's 35, I don't think you need an explanation but if you do ask!
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
5. Three resistors with values of 3 Ω, 5 Ω and 7 Ω are connected in a circuit, as shown. When the switch S1 is in the position shown on the diagram only two resistors, R1 and R2, are connected to the 36 V battery and the current is I1. If the switch is moved to it’s down position the third resistor R3 is connected in series to R1, R2, and the battery, producing a current I2. Find the current reading of the ammeter, I1 and I2, for the two different switch positions.
what is 15/3 equal to
Answer: 5
Step-by-step explanation:
Smh
Geometry (10th grade ) Circles
7 POINTS
How do I solve this ?
what two fractions divided by each other equal 11/15
Answer:
11/9 and 3/5
Step-by-step explanation:
1st equation: 3n/5 = 11/15
multiply each side by 5/3 to get:
n = 55/45 or 11/9
2nd equation: 11n/9 = 11/15
multiply each side by 9/11 to get:
n = 99/165 which reduces to 3/5
Write the expression with fewer terms:
10x 2x
Answer:
12x
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
hi pls help i’ll give brainliest
Answer:
At the very tip of one of the spiral arms, at the edge of the milky way.
OR C
Forgive me if i'm wrong
...
Answer:
C. In one of the spiral arms, about halfway between the center and the edge.
Step-by-step explanation:
Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.
Sorry I just needed help
Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
Find the slope of the line.
(-2, 1)
)
(2, 1)
3-2-1
Answer:
(0-2)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero
Using the formula
m = (y2-y1)/(x2-x1)
= (1-1)/(2 - -2)
= 0/(2+2)
= 0/4
which of the following numbers is divisble by 3,6 and 9 Answers: A- 648
B- 3854
C- 499
D- 330
Answer:
A. 648
Step-by-step explanation:
(648÷3) = 216
(648÷6) = 108
(648÷9) = 72
Will mark brainliest. Help
Answer:
D
Step-by-step explanation:
2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D
50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program
Answer:
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.
Step-by-step explanation:
Given the data in the question;
Let p = 50% = 0.5
Hypothesis;
Null hypothesis H₀ : p ≥ 0.5
Alternative hypothesis H₁ : p < 0.5
x = 48
sample size n = 100
sample proportion p" = x / n = 48 / 100 = 0.48
significance value = 0.5
[tex]Z_\alpha[/tex] = -1.65
Test Statistics;
z = (p" - p) / √( p( 1 - p ) / n )
we substitute
z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)
z = -0.02 / √( 0.25 / 100 )
z = -0.02 / √0.0025
z = -0.02 / 0.05
z = -0.4
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program
Simone is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is 4 ½ inches tall. How wide should the scale drawing be if the actual width is 48 meters?
express (3-i)^2 in standard form
Step-by-step explanation:
=3^2- 2×3×i + i^2
=9- 6i + i^2
A moving company charges $22.50 per hour plus a flat rate of $180 to help a person move from one house to another.
Joel would like to spend less than $315 to move.
How much time should Joel's move take to make sure the total cost is below $315?
what is the domain of f(x) = - x2
Answer:
the domain is (-inf,inf)
Step-by-step explanation:
inf = infinity
BRAINLIEST FOR CORRECT ANSWER!! Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater. How far is the movie theater from Kenny’s home if he were to take a direct path?
Answer:
8.568cm
Step-by-step explanation:
IF Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater, his distance from home to the theatre is gotten using the pythagoras theorem as shown;
d² = 23² + 10²
d² = 529 + 100
d² = 629
d = √629
d = 8.568
Hence the required distance is 8.568cm
Answer the picture fast and correct
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
Question 3 of 10
What type of angle is angle M?
Answer:
it is a right angle
Step-by-step explanation:
hope this helps
Answer:
right
Step-by-step explanation:
Angle M is a right angle...
which if u find u will get 90...
pls help me!!!!!!
ASAPPPPP
Answer: 1.185921/3
Step-by-step explanation:
Answer:
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Step-by-step explanation:
You are multiply 1/3 by itself 4 times since it is to the power of 4.
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
What’s #1?????? Plz help
Answer:
C) [tex]400\pi[/tex]
Step-by-step explanation:
The formula for area is
A=pi * radius ^2
If the diameter is 40, the radius is 20
Therefore
[tex]A=\pi 20^{2} \\A=\pi 400[/tex]
65 +5.2(hour) which is the y-intercept
Answer:
65
Step-by-step explanation:
y = mx + b
b is the y-intercept
y = 5.2h + 65
65 is the y-intercept
Where is the blue dot located on the number line
===================================================
Explanation:
Use the midpoint formula to find the midpoint of -10 and -4
A = -10 = left endpoint
B = -4 = right endpoint
C = midpoint of A and B
C = (A+B)/2
C = (-10+(-4))/2
C = -14/2
C = -7
The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).
Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:
move from -10 to -13move from -13 to -16move from -16 to -19The blue dot is located at -19