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
Which of the following is not a triangle similarity theorem
Answer:
D. SSA
Step-by-step explanation:
The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.
Find the shaded area of the circle below.
Answer:
area of the circle,
radius=10m
diameter=20m
πr²
3.14×100
314m²
area of the triangle=1/2×20×10
=100
area of the shaded area=314-100=214 m²
the answer is option H
where would the line y=x+7 cross the y axis? how do you know?
Answer:
At point (0, 7)Step-by-step explanation:
The line crosses with y-axis when x = 0:
y = 0 + 7 = 7The y-intercept is the required point and its coordinates are (0, 7)
The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2
Answer:
25
Step-by-step explanation:
The three sides of a triangle are 2x+4, 5x+2, and 4x-3.
The sum is the perimeter
P = 2x+4+ 5x+2+ 4x-3
Combine like terms
P = 11x +3
Let x =2
P = 11*2 +3
P = 22+3
P =25
Answer:
25
Step-by-step explanation:
Side 1: 2x+4 Side 2: 5x+2 Side 3: 4x-3
Substitute-
2(2)+4 5(2)+2 4(2)-3
Multiply-
4+4 10+2 8-3
Combine Terms-
16 + 12 + 5
=25
To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?
Answer:
1 cup of brown sugar to 2 teaspoon of baking soda
Step-by-step explanation:
Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.
Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.
The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda
Help I don’t get it
Answer:
143
Step-by-step explanation:
Your equation to find x is:
140+146/2 = 143
Lines a and b are parallel.
what is the value of x
Answer:
x = 5Step-by-step explanation:
11x = 90 - 7x11x + 7x = 9018x = 90x = 90/18x = 5Answer:
[tex]\large\fbox{\green{\underline{x = 5}}}[/tex]
Step-by-step explanation:
90 - 7x = 11 x
90 = 11x + 7x
90 = 18 x
90 / 18 = x
x = 5
–––––––––☆–––––––––Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply. 0.5x + 2.5 = 10 0.5 – 2.5 = 10x 10 = 2.5 + 0.5x 2.5x + 0.5 = 10 2.5x – 0.5 = 10
Answer:
C. 10 = 2.5 + 0.5x
Step-by-step explanation:
A. 0.5x + 2.5 = 10
B. 0.5 – 2.5 = 10x
C. 10 = 2.5 + 0.5x
D. 2.5x + 0.5 = 10
E. 2.5x – 0.5 = 10
Total distance Hector covers = 10 km
Distance he has covered = 2.5 km
Distance he covers per week = 0.5 km
Let
x = number of weeks
The equation is given by
2.5 + 0.5x = 10
It can also be written as:
10 = 2.5 + 0.5x
10 - 2.5 = 0.5x
7.5 = 0.5x
x = 7.5/0.5
x = 15 weeks
Answer:
A and C
0.5x + 2.5 = 10
10 = 2.5 + 0.5x
Step-by-step explanation:
hope this helps!
hey! i’ll give brainliest help thanks
Answer:
B
Step-by-step explanation:
A story about someone's life, written by that person.
Good luck with the rest!
Answer:
Option B, A story about a person's life, written by that person
Step-by-step explanation:
We can take Autobiography, the term auto refers to by one's self, therefore autobiography would mean a story written by a person about them selves.
Hope this helps!
Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120° + 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°
Answer:
x = 120-95
Step-by-step explanation:
The correct equation for the expression is:
∠AFC = ∠AFB+ ∠BFC
Given that
∠AFC = 120°
∠BFC = 95°
Substitute
120= ∠AFB+95
∠AFB = 120-95
If ∠AFB = x
The required equation will be:
x = 120-95
PLZZZZ HELP!!!
First to answer will get brainly!!!PLZZZZZZ
Answer:
-7
Step-by-step explanation:
can you help me with this problem please?
Answer:
PR = 2*36 = 72
SU = (1/2)54 = 27
RS = 36
Step-by-step explanation:
By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,
PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.Write the factored form of each trinomial.
x^2 + 13x + 36
Enter your answer.
Answer:
(x+9) (x+4)
Step-by-step explanation:
x²+13x+36
x²+9x+4x+36
x(x+9) +4(x+9)
(x+4) (x+9)
Trigonometry is the study of____________
Answer:
relationships between side lengths and angles of triangles
Step-by-step explanation:
Answer:
Study of the angles and triangles
Step-by-step explanation:
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
WHATS THE AREA PLSSSSS
Answer:
34 in
Step-by-step explanation:
Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)
A= 1/2(4)* (12+5)
A= 2 *(17)
A= 34 in
I hope this helped :)
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
The answer is b. because the other ones don't charge money according to the number of miles.
Answer:
The structure that you used in your research paper can also be used for your presentation. For example, just like how your
Step-by-step explanation:
Please help you guys I really need it!
Answer:
Undefined
Step-by-step explanation:
A vertical line doesn't have a slope since it doesn't run horizontally.
Answer:
0
Step-by-step explanation:
a straight line doesn't have a slope
What’s the answer hurry
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
How long is a pencil the nearest inch and to the nearest centimeters?
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
Find the area of a triangle with a height of 5 ft and a base of 4 ft.
Answer:
5 x 4 = 20, 20 divided by 2 ( x 1/2 ) = 10
Step-by-step explanation:
Formula area of a Triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.
Answer:
Results are below.
Step-by-step explanation:
It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.
First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= 500
Interest rate (i)= 0.11/12= 0.0092
Number of months (n)= (26 - 19)*12= 84
FV= {500*[(1.0092^84) - 1]} / 0.0092
FV= $62,944.74
Now, the future value of the investment of Ben at age 65:
FV= PV*(1 + i)^n
n= (65 - 26)*12= 468 months
FV= 62,944.74*(1.0092^468)
FV= $4,574,131.31
Finally, the future value of the investment for Arthur:
i= 0.0092
n= (65 - 27)*12= 456
A= 500
FV= {500*[(1.0092^456) - 1]} / 0.0092
FV= $3,484,032.07
What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points
Answer:
51
Step-by-step explanation:
Parenthesis exponents multiplication division addition subtraction
(8+5x9)-2
(8+45)-2
53-2
51
As a contestant on a televised game show, Kiara gets to spin the big prize wheel, which has a radius of 2 meters. What is the prize wheel's area
Answer:
12.57
Step-by-step explanation:
We need to find of area of a circle and the formula for that is pie * radius ^2.
Pie * 2 squared = 12.57 rounded to the nearest hundredth
Please answer this correctly
HIE
YA
HHHHHHHH111111111111
Use the calculator to fill
in the table & graph for
the equation y=3x - 2.
6
5
у
3
2
1
1 2 3 4 5 6
0
-6-5-4-3-2-1
-11
-2-
-3
1
2
-5
-6
3
Students, draw anywhere on this slide!
Answer:
y = 3x-2
Step-by-step explanation:
(2,5) (0,-1)
whats the slope?
Answer:
Step-by-step explanation:
An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)
In this case you have two points (2,5) and (0,-1)
2 = x1 (cause it’s the first x)
5 = y1 (cause it’s the first y)
0 = x2 (second x)
-1 = y2 (second y)
So the slope would be
(5-(-1))/2-0= 6/2 = 3
Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa
Respuesta:
0,114 m³
Explicación:
El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono
Volumen del cilindro
El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.
Vcil = π × r² × h
Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³
Volumen del cono
El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.
Vcono = 1/3 × π × r² × h
Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³
Volumen del cohete
Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³