Answer:
[tex]5144[/tex]
[tex]12[/tex]
Step-by-step explanation:
The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].
So, the correct function is
[tex]p=-x^2+24x+5000[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]p'=-2x+24[/tex]
Equating with zero
[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]
Double derivative of the function
[tex]p''=-2<0[/tex]
So, the function is maximum at [tex]x=12[/tex]
Maximum profit is
[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]
The maximum profit made by the company is [tex]5144[/tex]
The number of clients required to make the maximum profit is [tex]12[/tex].
What is the value of 4.6 – t when t = 3.1?
Answer:
4.6-t
4.6-3.1
THAT EQUALS
1.5
SOOO 1.5 IS U ANSWER
Step-by-step explanation:
Step-by-step explanation:
=4.6-t
=4.6-3.1
=1.5
hope it helps.
Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .
Answer:
544w + 11%
Step-by-step explanation:
544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases
Find the x-and y-intercepts.
4x + y = 12x - 1
The x-intercept is
The y-intercept is
Answer:
The x-intercept is [tex]\frac{1}{8}[/tex]
The y-intercept is -1
Step-by-step explanation:
Lets find x-intercept:
for y substitute 0
4x+0=12x-1
subtract 4x both sides
0=8x-1
add 1 both sides
1=8x
divide 8 both sides
[tex]\frac{1}{8}[/tex]=x
lets find y-intercept:
for x substitute 0
4(0)+y=12(0)-1
multiply 4(0) and 12(0) which would equal 0 in this case, you dont have to write the 0s.
y=-1
Hopefully it helps
Zachary purchased a computer for $1,400 on a payment plan. Two months after he purchased the computer, his valence was $1,120. Three months after he purchased the computer, his balance was $980. What is an equation that models the balance y after x months??
9514 1404 393
Answer:
y = 1400 -140x
Step-by-step explanation:
In the first two months, Zachary paid ...
1400 -1120 = 280
so 280/2 = 140 per month. This is the amount that the balance decreases each month from the starting balance of $1400.
Zachary's balance (y) can be modeled as ...
y = 1400 -140x
What is the length, in centimeters (cm), of y?
Answer:
Step-by-step explanation:
Use Pythagorean Theorem for a right triangle.
a^2 + b^2 = c^2
3.6^2 + 4.8^2 = c^2
c = 6cm
The length of y (Hypotenuse) is 6 cm.
We have,
Perpendicular = 3.6 cm
Base = 4.8 cm
Hypotenuse = y
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
So, y² = 4.8² + 3.6²
y²= 23.04+ 12.96
y²=
y= √36
y= 6 cm
Thus, the value of y (Hypotenuse) is 6 cm.
Learn more about Pythagoras theorem here:
https://brainly.com/question/21926466
#SPJ2
PLS HELP ASAP y = -3x + 1
y = x -7
Answer:
x=-1/3
x=7
Step-by-step explanation:
Not sure if this correct tho
Answer:
x=2
y=-5
Step-by-step explanation:
substitute y=-3x+1 in y=x-7
[tex]-3x+1=x-7[/tex]
[tex]-3x-x=-7-1[/tex]
[tex]-4x=-8\\x=2[/tex]
Substitute x=2 in any one of the given equations
y=x-7=2-7=-5
The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.
Answer:
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54
The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will the pave in one hour
plzzzzzzzzzzz hurry.
Answer:
c maybe i think. tell me if its right
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
Answer:
2/3
Step-by-step explanation:
spread it out
2x + 12 - 8x = (6x + 4)/2 + 4
2x + 12 - 8x = 3x + 2 + 4
solve
9x = 6
x = 6/9 --> 2/3
check over the process if i did this correctly lol
Question 7
1 pts
Emily has two bags of marbles. The first bag contains 4 red marbles and 6 blue.
The second bag contains 6 blue marbles, and 2 green marbles. Emily will
randomly select 1 marble from each bag.
What is the probability that Emily will select a blue marble from each bag?
Answer:
likely
because there are 12 blue marbles more then others
Marshall has 3 bags in each of his 2 toy chests. Each bag has 5 marbles. How many
marbles does he have in all?
A. 10
B. 15
C. 30
D. 35
< Back
Clear Answer
Next >
Answer:
C. 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30
Please help me What is the domain of the function y=2 square root x- 6
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
PLEASE HELP ASAP THIS IS DUE SOON
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
Find the percent error in this situation:
Experimental value: 4.8 g/cm3
Theoretical value: 5.8 g/cm3
2.08%
17.2%
1.72%
20.8%
Answer:
the percent error is -17.2%
Step-by-step explanation:
The computation of the percent error is shown below:
As we know that
Percent error is
= (Experimental value - theoretical value) ÷ (theoretical value)
= (4.8 - 5.8) ÷ (5.8)
= -17.2%
Hence, the percent error is -17.2%
Solve these questions for 18 points (Solving Integers)
Answer:
x >= 9
x <= 32
x > -24
x > -5
x <= 10
x > -6
Step-by-step explanation:
first, write it down as inequalities:
5x >= 45
x/4 <= 8
x/-3 < 8
7x > -35
x/2 <= 5
3x > -18
then, solve the inequalities
5x >= 45
x >= 45/5
x >= 9
x/4 <= 8
x <= 8*4
x <= 32
x/-3 < 8
x > 8 * -3
x > -24
7x > -35
x > -35/7
x > -5
x/2 <= 5
x <= 5*2
x <= 10
3x > -18
x > -18/3
x > -6
Matthew bought a video game for 25 dollars the following week his friend found the game on sale and bought it for 17 dollars what is the percent of decrease in price of the game
Answer:
14% decrease
Step-by-step explanation:
they making me write more since I'm ambitious
On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time
Answer:
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Step-by-step explanation:
We use the following relation to solve the question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
First 15 minutes:
Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]
Velocity of 5 miles per hour. So the distance is of:
[tex]d = vt = 5*0.25 = 1.25[/tex]
Final 15 minutes:
The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:
[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find the marginal probability mass function of X. Round the answers to two decimal places. pX(0) pX(1) pX(2) pX(3)
Answer:
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]
Step-by-step explanation:
From the question we are given the table
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|} &&y \\x &0&1&2&3\\0 &0.13&0.1&0.07&0.03 \\1&0.12&0.16&0.08&0.04\\ 2&0.02&0.06&0.08&0.04\\ 3&0.01&0.02&0.02&0.02\end[/tex]
Generally the marginal probability mass function of X is mathematically given as
[tex]P(x)=\sum P(x,y)>y[/tex]
[tex]\sum P(0)=0.13+0.1+0.07+0.03=0.33\\\sum P(1)=0.12+0.16+0.08+0.04=0.40\\\sum P(2)=0.02+0.06+0.08+0.04=0.20\\\sum P(3)=0.01+0.02+0.02+0.02=0.07[/tex]
Therefore marginal probability mass function of X
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]
Chai Hu deposited $5500 in a savings account earning 6% interest compound quarterly if he makes no other deposits or withdrawals how much will he earn in 25 days
Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
What should you do first to simplify 8 + (2 x 5) ?
Answer:
18
Step-by-step explanation:
8+(2)(5)
=18
Answer:
18
Step-by-step explanation:
8 + (2×5)
=8 + 10
= 18
hope this will help you ☺✌
You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?
9514 1404 393
Answer:
4 years
Step-by-step explanation:
Each year, the interest earned is ...
0.0175 · $125 = $2.1875
Then the time it took to earn $8.75 in interest was ...
$8.75/(2.1875/year) = 4 years
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
Joyce paid $220 for an item at the store that was 30 percent of the original price. What was the original price?
Answer:
if 220=30%
100%=?
220×100÷30
=$733.333
(4x-20)° what is the value of x
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, They're swimming the same number of laps at a swim meet. Who will likely finish first?
SOMEONE PLEASE ANSWER SOON :)
Answer:Tess, sorry im a week late
Step-by-step explanation: ):