Answer:
[tex]p(x) = -0.01x + 15[/tex]
Step-by-step explanation:
Given
Let x represent the number of tickets, and p the charges
[tex](x_1,p_1) = (500,10)[/tex]
A reduction of 50c gives an increment of 50 tickets.
This gives:
[tex](x_2,p_2) = (500+50,10-0,5)[/tex] ---- [tex]50c = \$0.5[/tex]
[tex](x_2,p_2) = (550,9.5)[/tex]
Required
Determine the demand function
First, calculate the slope:
[tex]m = \frac{p_2 - p_1}{x_2 - x_1}[/tex]
[tex]m = \frac{9.5 - 10}{550-500}[/tex]
[tex]m = \frac{-0.5}{50}[/tex]
[tex]m = -0.01[/tex]
So, the equation is:
[tex]p = m(x - x_1) + y_1[/tex]
[tex]p = -0.01(x - 500) +10[/tex]
[tex]p = -0.01x + 5 +10[/tex]
[tex]p = -0.01x + 15[/tex]
Hence, the function is:
[tex]p(x) = -0.01x + 15[/tex]
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Find the common difference.
2
1.8
8/9
Answer:
Step-by-step explanation:
Let d be the common difference.
a₁₀ = a₁ + (10-1)d
13 = -5 + 9d
d = 2
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2
Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
Five less than 10 times a number is -13.
Answer:
10 x X - 5 = -13
Answer:
Step-by-step explanation:
10x-5= -13
10x= -13+5
10x= -8
x= 10/-8
x= -1.25 or 5/-4
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What is the inverse operation needed to isolate the variable 4 = p - 8
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation:
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Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
help please i beg you
Answer:
4800
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
if u need step by step explanation please comment
what is the value of y?
9514 1404 393
Answer:
y = 8√3
Step-by-step explanation:
In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...
1 : √3 : 2 = 8 : y : hypotenuse
In order for these ratios to be equal, we must have ...
y = 8√3
__
If you want to solve this using your trig skills, you recognize that ...
Tan = Opposite/Adjacent
tan(30°) = 8/y
y = 8/tan(30°) . . . . where tan(30°) = 1/√3
y = 8√3
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
i need a reduced mixed number from 12(x-6)=2(x-9)
Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
Two similar squares are in a ratio of 3:5. If a side of the larger square is 35 inches, what is the measure of a side of the smaller square?
I need help and NO LINKS
Select the statement that describes this expression: 5 x (3 + 4) − 4.
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
will give branlist
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
simplify your math.
5(7)-4
35-4
31
Find the next number in the pattern.
4, 6, 11, 19, 30, ______
Answer: 44
Step-by-step explanation:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answer:
its 2.583333333 and repeating so it would be 2.583
A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.
Answer:
Step-by-step explanation:
x=1.6w and 2w+2x=34.
Simply substitute for x in the perimeter equation, and solve for w. Now compute x.
the difference of 17 and 5 times a number (s)
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Please help for 10 ponits
Answer:
it's a yes
Step-by-step explanation:
X/6 ≤ 30
to find the value of X we have to move the numerical to the other side
in this case the number is 1/6
X * 1/6 ≤ 30
so to balance the both side and get rid of the number on the left side we multiple with 6.
1/6*6 = 1 on the left side
30*6 = 180 on the right side
so the full equation will be
X * 1/6 * 6 ≤ 30 * 6
X * 1 ≤ 180
X ≤ 180
Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?
Sara’s teacher gave her class 10 quizzes, each worth 30 marks. Sara’s marks on the test are given below.
16,15,18,16,17,4,18,19,18,15
Determine the mean, median and mode of her marks.
Answer:
The mean is 6.6
The median is 16
mode is 18
Step-by-step explanation:
I'm not sure if this is tight but yeah:)
5.
The Luxor Hotel in Las Vegas, Nevada,
is shaped like a square pyramid whose
surface is covered in dark glass. The
sides of the building are 606 feet in
length. The slant height of the building
is 463 feet. Find the lateral surface area
to determine the square feet of glass
needed to cover the surface of the Luxor
Hotel.
Answer:
= 869,516 sq feet
i think will you mark me brainlest
=))
Step-by-step explanation:
The population in City A is 3 1/2 times the population of City B. The population of City B is 1,800,000. What is the population of City A?
Answer:
The population of city A is 6,300,000.
Step-by-step explanation:
1,800,000 × 3[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{2}[/tex] is equal to 3.5
Plug in 1,800,000 × 3.5 into your calculator
= 6,300,000
solve (x- 4.5)/2=5.5 for x
please help asap
Answer:
x=31/2
Step-by-step explanation:
don't have steps but its right.
Answer:
x = 31/2 = 15 1/2 = 15.5
Step-by-step explanation:
(x- 4.5)/2=5.5
Multiply both sides by 2.
x−4.5=5.5×2
Multiply 5.5 and 2 to get 11.
x−4.5=11
Add 4.5 to both sides.
x=11+4.5
Add 11 and 4.5 to get 15.5.
x=15.5
What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation