Answer:
1 4/45
Step-by-step explanation:
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’m please help asap due soon
And 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)
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
Frenando finished 6/8 of his homework greta finished 6/8 of her homework find a fraction that represent the amount of work that greta finished in a different form but equal to 6/8
Answer:
3/4
Step-by-step explanation:
you can write it in a different form by simplifying. 6/2 = 3. 8/2 = 4 so the answer is 3/4
Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.
Answer:
28 soccer balls.
Step-by-step explanation:
Let there are 7x basketball and 6x soccer balls.
A sports store donates basketballs and soccer balls to the boys and girls club.
The store donates 24 soccer balls.
It means,
6x = 24
x = 4
No of basketballs = 7x
= 7(4)
= 28
Hence, the store denote 28 soccer balls.
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:
18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
The measure of angle DCF is ... degrees?
Answer: Yes, The measure of DCF is degrees.
Geometry...Please help as soon as possible please and Thank you so much!
Answer:
Step-by-step explanation:
Statement1. ∠KJL ≅∠LMK (A)
Reason1. Given
Statement2. ∠JKL≅∠MLK (A)
Reason2. Given
Statment3. KL≅KL (S)
Reason3. Reflexive propriety
Statemnt 4. ΔJKL≡ΔLMK
Reason 4. AngleAngleSide congruency theorem
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
To know more about Fractions click the link given below.
https://brainly.com/question/21449807
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
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
Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
she have feed 26 or 27
Step-by-step explanation:
I am confused it's 26 or27
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
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.
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.
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
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.
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
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
Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2
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
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.
help find this please
Answer:
B
Step-by-step explanation:
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:
Help me I don't know how to find the percent of discount to the nearest percent
Find the percent of discount to the nearest percent.
skateboard: regular price, $24
sale price, $15.50
help. PLEASE.
Answer:8.5
Step-by-step explanation:
Answer:
step one
find the difference between marked price and the selling price, which is 24-15.50=8.5
step two apply the formula which is, difference divided by marked or original price and then multiple by 100
eg (8.5÷24) × 100= 35.4
so now round off to the nearest percent that's 35%
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
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!