Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
What is the answer to this equation -14=d/15
Answer:
d=-210
Step-by-step explanation:
multiply 15 to both sides
-14*15 =-210
the 15 on the side with d cancels
Now you have d=-210
Hope this helps!
Please help me find the x and y value of these
Answer:
27 and 28
Step-by-step explanation:
A circle has radius 40 cm. Which of these is closest to its area
Answer:
5026.55
Step-by-step explanation:
Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?
Answer:
7.4:1
Step-by-step explanation:
The rate of patrons to advertising dollar is7.4 patrons per dollar.
What is rate?A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.
Given:
The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.
So, the rate of patrons to advertising
= 18.5 million patrons to $2.5 million
= 18.5/2.5
= 7.4 patrons per dollar
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ6
What’s the answer???
Answer: 294.25 for total price.
Step-by-step explanation:
First do .07 times 275 which gets you 19.25 (sales tax), then add that to the cost of the phone. 275+19.25 and you get 294.25 for total price.
Answer:
Tax $19.25 Total amount $294.25
Step-by-step explanation:
Multiply 275 x .07 = 19.25.
Add 275 + 19.25 = 295.25
The $430 is extra information that can be disregarded.
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
what is slope function
Answer:
Slope means that a unit change in x, the independent variable will result in a change in y by the amount of b. ... slope = change in y/change in x = rise/run. Slope shows both steepness and direction. With positive slope the line moves upward when going from left to right.
Step-by-step explanation:
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
Ill give Brainliest!!! PLease THIS IS MY LAST QUESTION, I HAVE 5 MINUTES LEFT!!!
Answer:
y=95x+50
Step-by-step explanation:
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)
Answer:
Its A
Step-by-step explanation:
X-3=x+13 solution or not
What is the y-intercept of the equation?
Answer:
The answer would be 0
Step-by-step explanation:
Use y = m x + b :)
Giving brainliest 10 points! Please help me with this question
Answer:
(0,-23)
Step-by-step explanation:
John says all of the factors for the number 28 are
1, 2, 3, 4, 7, 14, 28
But he is incorrect! Which number is not a factor of 28?
Answer:
3
Step-by-step explanation:
marlin is the first mate on a very successful fishing charter boat. last year marlin total income was $41,906. which equation could marlin use to determine the amount he made tips, t, he was paid $27 for every hour, h , he works
A. 27h - t =41906
B. 27h + t =41906
C. 41906h + 27 = t
D. 41906h - 20= t
I don't understand this at all. Please help.
- A confused eighth grader.
Answer:
T
Step-by-step explanation:
All the other ones are functions because their relations all start with different numbers except T, where it has 3 two times.
PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.
options
A)
Both points are in the solution set.
B)
Neither of the points is in the solution set.
C)
The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.
D)
The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.
Answer: the answer is A.
Step-by-step explanation:
I took the test
30% of $40 is blank money
Answer:
12
Step-by-step explanation:
30% is 0.3, 40 x 0.3 . is 12 :DD
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answer:
Step-by-step explanation:
I WILL GIVE BRAINLY PLS!!!!!!
When Jake buys an order of copper, he pays $45 for the first pound and $42 for
each additional pound. Which of the following expressions represents the total
cost, in dollars, of an order of p pounds of copper?
A. 45 + 42p
B. 45 + 42 (p – 1)
C. 45 + 42 (p + 1)
D. 87p
PLS SHOW YOUR WORK PLS
Answer:
A. 45 + 42p
Step-by-step explanation:
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
what is the value of x in the
triangle?
Answer:
x = 75°
Step-by-step explanation:
Sum of angles in a triangle: 180°
So,
50°+55°+x=180°
105°+ x = 180°
Subtract 105° from both sides
x = 75°
What is 38,050,000 expressed in scientific notation?
O A. 3.805 x 108
O B. 0.3805 x 108
O C. 0.38 x 10-8
O D. 3.805 x 107
Answer:
I think it is 3.805 × 10 to the 7th power
Step-by-step explanation:
Hope this helps!
Answer should be B/0.3805 x 108
Step-by-step explanation:
if I'm wrong please tell me and I will try to correct it :)
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
11. The number of students in Madison Elementary School increased from 365 students last year to 397 students this year. What was the percent of increase in the student population?
10 POINTS FOR ANSWERING WITH EXPLANATION
Answer:8.76712328...%
Step-by-step explanation:
1.Find the increase in students. 397-365=32
2. Take the ratio and put it into percent. 32/365=x/100
3. Cross multiply. 32 x 100=365x
4.Solve. X=8.76712328...%
It is repeating forever like this.
8.767123287671232876712328
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Chang wants to know if he is improving
Answer:
Yes he is
Step-by-step explanation:
Answer:
Yes! he is
Step-by-step explanation:
:)
The original price of a marker is $5.00 What will the new price be after a
15% increase ? *
Answer:
5.75
Step-by-step explanation:
for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!
Answer:$5.75
Step-by-step explanation:
