Answer:
60
Step-by-step explanation:
all angles in a triangle measures 180°
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
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.
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
PLZ HELP ME 30 POINTS TROLLERS WILL BE REPORTED
Answer:
56.25 B (haha troll go brrr)
Step-by-step explanation:
the ratio of the triangle measurements are:
60/45=75/x
60x=3375
x=56.25, therefore the distance of the new bridge is 56.25
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
6. Which of the following lines is perpendicular to the line **
4y = -- 24 and passes through the point (6 - 2)
(A) y a 4x 22
(B) yax - 22
(C) y = 22
(D) y - 4x-22
(E) = 4x+18
Answer:b
Step-by-step explanation:
Its correct
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
1 3 movie tickets cost $36. At this rate, what is the cost per ticket?
Answer:
$12 per ticket
Step-by-step explanation:
if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost
36/13= $12
n + 1 < −8
the solution of the inequality is ____?
Answer:
n < -9
Step-by-step explanation:
Subtract 1 from both sides: n < -8 -1
Simplify -8 -1 to -9
n < -9
Brainliest Please!!?!!!
- Hermionia
write the equation of the line that passes through two points in slope intercept form (-8,1) and (2,-4)
Answer: Answer and explanation in pic
Step-by-step explanation:
round the number 1 560 to the nearest thousands place
Answer:
2000
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
the reason of this is the one becomes a two so the other numbers go to zero
then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.
if you like my question please send brainiest thanks.
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle
Answer:
acute angle
Step-by-step explanation:
just took the test
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
*BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST**
Determine whether or not each expression below is a perfect square. Explain why the expression is or is not a perfect square. If it is not a perfect square, find the perfect square that seems “closest” to the given expression and show how the perfect square can be adjusted to be the given expression.
1. A(x)=x^2+6x+13
2. A(x)=2x^2+8x+14
Step-by-step explanation:
These aren't a perfect square bec. 1 st and 3rd terms must be perfect square
A(X) = X^2+6X +13 be perfect square if 13 Changed to 9
= X ^2+6X +9
A(x)= 2X^2+8X +14 be perfect square
= 4X ^2+ 8X + 16
Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.
Answer:
Yes this statement is correct.
Step-by-step explanation:
just mental math
The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.
We are told that;
BC is parallel to CF
Now, we are told that;
∠OLF = ∠OMG
We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF
Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.
In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.
Read more about corresponding angles at; https://brainly.com/question/12054594
LOOK AT THE PICTURE
Please help I’m on a test will mark brainliest!
Answer:
2/7
Step-by-step explanation:
You have to flip the fraction to check, you see what times 3 gets you six... 2!
then what times one gets you 7.. 7! and that how you get 3/7
PLS I NEED THIS TO BE DONE IMMEDIATELY PLS PLS ;-;. which has the greater maximum value: f(x)=-3x^2+6x4, or g(x), the function in the graph
A. f(x)
B. the functions have the same maximum value.
C. g(x)
Answer:
A.f(x)
Step-by-step explanation:
Sup dude it's been a while since khelcee talked to us.
At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?
Answer:
25(b) + 4 = 129
Step-by-step explanation:
b=5
25(5) + 4=129
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
Need help asp!!!plz
What is the output of the function y = 2" + 4 if the input is -2?
Answer:
Step-by-step explanation:
4(s + 50) 52 +30s + 200
find the length of the side of a square with a perimeter of 128 meters
Answer:
32 Meters
Step-by-step explanation:
A square has 4 equal sides so all you have to do is divide 128 by 4
........................divide
Write the following in slope-intercept form.
Answer:
[tex]\huge\boxed{y=4x-7}[/tex]
Step-by-step explanation:
Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.
The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.
Now that we know both changes, we can divide the change in y by the change in x.
[tex]\frac{16}{4}=4[/tex]
Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).
[tex]y=4x+b[/tex]
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
[tex]y=4x-7[/tex]
Hope this helped!
Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .
Answer:
T=10c+2p
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answer:
i have
Step-by-step explanation:
i dont even know good luck
Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4
Answer:
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
[tex]x-2y=4[/tex]
solving for y to writing the equation in the slope-intercept form and determining the slope
[tex]x-2y=4[/tex]
Add -x to both sides.
[tex]x - 2y + (-x) = 4+(-x)[/tex]
[tex]-2y = 4 - x[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]
[tex]y=\frac{1}{2}x-2[/tex]
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
what is
-5x-y=21
y=4x+6
Answer:
(x,y)= (-3,-6)
Step-by-step explanation:
Answer:
Substitution substitution
Step-by-step explanation:
(-3,-6)
or
x= -3 y=-6
Help please 43 points
Answer:
Get the data from the table:
40, 45, 50, 55, 75, 80, 85Median is the middle number:
55Mean is the average:
(40+ 45+ 50+ 55+ 75+ 80+ 85)/7 = 61.42Rachel and Sarah spent:
80 + 85 = 165And a survey of 500 households 23% say that they have a dog as a pet the standard deviation is 2% determine an interval that if I need to contain the 95% of all households who has a dog as a pet
Answer:
(114.123, 115.877)
Step-by-step explanation:
Given that :
Sample size (n) = 500
Mean = 23% of 500 = 115
Standard deviation (s) = 2% of 500 = 10
α = 95%
Zcritical at 95% = 1.96
Confidence interval = Mean ± Error
Error = Zcritical * standard deviation /sqrt (n)
Error = 1.96 * 10/sqrt(500)
Error = 0.8765386
Lower boundary : 115 - 0.8765386 = 114.1234614
Upper boundary : 115 + 0.8765386 = 115.8765386
(114.123, 115.877)