Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:
Domain: x ≤ 5
Range: y ≤ -3
What do you mean by Square roots?
The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.
Is √ it a square number?The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.
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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half
Answer:
0.0625
Step-by-step explanation:
Data
P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2The probability of event A, given that event B has occurred is computed with the following equation:
P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]
Replacing with data:
P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625
Answer:5.17%
Step-by-step explanation:
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 5 hours a day.
Answer:
7 days
Step-by-step explanation:
Please help me with this I will really appreciate it thank you! It’s geometry
Answer:
150 degrees
Step-by-step explanation:
90+30=120.
Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.
Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
If f(x) = 3/x+2-/x-3, Complete the following statement: The domain of for f(x) is all real numbers _____ than or equal to 3
Answer:
Step-by-step explanation:
Answer:
Greater
Step-by-step explanation:
because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.
Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point
9.46 feet long
4.41 feet long
8.58 feet long
10 feet long
Answer:
Correct option: first one -> 9.46 feet long
Step-by-step explanation:
To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.
The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:
sin(25°) = height / length
0.4226 = 4 / length
length = 4 / 0.4226
length = 9.4652 feet
So the length of the board should be 9.46 feet (correct option: first one)
8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)
Answer:
x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.
Step-by-step explanation:
Solve the following system:
{8 x + 9 y = 9 | (equation 1)
3 x - 5 y = 20 | (equation 2)
Subtract 3/8 × (equation 1) from equation 2:
{8 x + 9 y = 9 | (equation 1)
0 x - (67 y)/8 = 133/8 | (equation 2)
Multiply equation 2 by 8:
{8 x + 9 y = 9 | (equation 1)
0 x - 67 y = 133 | (equation 2)
Divide equation 2 by -67:
{8 x + 9 y = 9 | (equation 1)
0 x+y = -133/67 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{8 x+0 y = 1800/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 225/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Collect results:
Answer: {x = 225/67 , y = -133/67
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t
Answer:
100 (+1) x 2^t = 100 (+2et) as we plus and we multiply before squaring the years.
Step-by-step explanation:
You cna now work this out as +1 represents the 100% + 200% sum.
Answer:
C) [tex] A = 100e^{2t} [/tex]
Step-by-step explanation:
Continuous growth:
[tex] A = Pe^{rt} [/tex]
r = rate as a decimal
r = 200% = 2
P = initial value = 100
[tex] A = 100e^{2t} [/tex]
Please help i am being timed. For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?
Answer:
40 adults and 140 kids
Step-by-step explanation:
40 adults
pairs of adults= 20
20 x 7kids= 140 kids
40 adults plus 140 kids = 180 total
Answer:
40 adults and 140 kids
Step-by-step explanation:
for every 9 people there are 2 adults and 7 kids
so if there are 180 people in total we would
180 / 9
180 / 9 = 20
so there are 20 groups of 2 adults and 7 kids
40 adults and 140 kids
Calculate the radius of the circular rug. Use 3.14 for π.
Enter your answer in the box below.
____ feet
Answer:
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
You're welcome and don't forget to click THANKS
Answer:
\sqrt{\frac{153.86}{3.14} } = r
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
\sqrt{\frac{153.86}{3.14} } = r
I’ll mark you brainliest
Answer:
42
Step-by-step explanation:
In a rectangle, the diagonals have the same length. Therefore:
[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]
Hope this helps!
Answer:
BD = 42
x=12 is found below as a way to find x
We can find 42 by adding together the equations
3x+6 = 5x-18
+18 = 5x(-3x-6)
18 + 6 = 2x
24 = 2x
x= 12
We can then plug in for 5x and 3x
as BD = 5x-18 = 3x+6
5(12) = 60 -18 = 42 and 3(12) =36+6 = 42
To find line BD = 42
Step-by-step explanation:
3x+6= 42
3x = 42-6
3x = 36
x = 12
5x-18 = 60
5x = 60- 18
5x = 42
x=12
Look at the equation shown below.
−6x−8=4
Which of the following represents the solution to the equation?
x=−23
x=−2
x=2
x=23
_____________________________
Hey!!
Solution,
-6x-8=4
or, -6x=4+8
or, -6x=12
or,X=12/-6
X=-2
The right answer is -2.
Hope this helps..
____________________________
If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi
Answer:
V= 468 * 3.14 = 1.469.52
Step-by-step explanation:
Volume of a cylinder = π r^2 h
V= 3.14 *6^2 * 13
V= 1469.52 cubic unit
Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105
Answer:
I think it's 105.
Step-by-step explanation:
The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.
Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)
The measure of the angle "g" is also equal to 105 degrees
Find the diagram attached below;
From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.
This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees
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A ball is thrown straight up with an initial velocity of 35.7 m/s. How long does
it take to hit the ground?
y = v₀t - gt²/2
For y=0 (back to where we started),
0 = t(v₀ - gt/2)
t=0 (which we knew) or v₀ - gt/2 = 0
v₀ = gt/2
2v₀ = gt
t = 2v₀/g
t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds
Answer: 7.3 seconds
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
D is the correct answer
Step-by-step explanation:
-17/27=-0.63
-8/18=-0.44
In a cartesian plane
-ve side is in the left side of zero
after zero you meet -0.44 first before -0.63
This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.
What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!
Answer: 2/8, 4/8, 4/4, 8,8
Step-by-step explanation:
They all have the denominator of 8.
What is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17?
Answer: 295
Step-by-step explanation:
[tex]Formula: a_n=a_1+(n-1)d[/tex]
Where;
[tex]a_n[/tex] = nth term (the term we're trying to find.)
[tex]a_1[/tex] = first term
[tex]n[/tex] = nth term
[tex]d[/tex] = difference
[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]
45x^7 divided by 9x^2
Answer:
5x^5
Step-by-step explanation:
45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5
The right answer is 5x^5
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above
Answer:
668
Step-by-step explanation:
She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer
Answer:
668
Explanation:
To solve this problem, add 539 and 129 meters together.
539 + 129 = 668
Therefore, 668 represents Anita's change in altitude.
4(2+a)=24 what is the answer
Given:
4(2 + a)= 24
Use Distributive Property:
8 + 4a = 24
Subtract 8 to both sides:
4a = 16
Divide 4 to both sides:
a = 4
Answer:
A = 4
Step-by-step explanation:
Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.
1) Use the distributive property to simplify the first part of the equation.
4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.
(8 + 4a)
2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.
2a. Subtract 8 from both sides of the equation:
8 + 4a - 8 = 24 - 8.
So now you have 4a = 16.
2b. Divide 4 from both sides of the equation.
4a/4 = 16/4
So now you have a = 4.
Final answer:
A = 4
Question 8 Multiple Choice Worth 1 points)
(01.03 MC)
1
Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than as many minutes as Francesca's commute by car. It takes Riley 36
2
minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.
36
- 12
36 = 2x - 12
36 - 2x + 12
36 = x+12
Answer:
[tex]\dfrac{x}{2}+12=36[/tex]
Step-by-step explanation:
As it is given that
Both Riley and Francesca commute to work.
And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes
So for determining how many minutes is required for Francesca to get to work we need
Let us assume the time taken by Francesca to get to work is x
So, the time taken by Riley is
[tex]= \dfrac{x}{2}+12[/tex]
And, Riley takes 36 minutes to get to work.
So, the equation would be
[tex]\dfrac{x}{2}+12=36[/tex]
Factor 16 x2 + 24 x + 9.
(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2
Answer:
Step-by-step explanation:
(4x + 3)(4x+3) is the factor
the third one is the solution
Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.
–15, –9, –3, 3, 9, ...
Answer:
hope this helps! please mark brainliest
Step-by-step explanation:
The COMMON DIFFERENCE is 6
so it's a arithmetic sequence.
The formula is an = a1 + (n-1)d
to find the 10th term: a10 = -15 + (10-1)6
the 10th term is 39
*a1 = the 1 is supposed to go underneath it but can't type it on computer
*an = the n is supposed to go underneath it also
Please help me quick!!!!!!!!!!!!!!!!!
Answer:
a. Yes, the evidence supports the hypothesis
Step-by-step explanation:
The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D
What is the solution to this equation?
x + 7 = 23
A. x = 30
B. x = 14
c. x= 16
D. x = 29
________________________________
Solution,
X+7=23
or,X=23-7
X=16
The value of X is 16.
Hope it helps
Good luck on your assignment
______________________________
Answer:
Step-by-step explanation:
x + 7 = 23
When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.
x + 7 = 23
- 7 = -7 <-- This is where you remove from one side what you remove x + 0 = 16 from the other side.
Now that one side only has X, we can find the answer.
x = 16
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
just tell me if I'm correct
Answer:
Yes you are correct for x AND y
Step-by-step explanation:
Yes, your answer is correct.
help me please asap!!!!!
Answer:
x=10
Step-by-step explanation:
In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.
[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]
[tex]49+\frac{1}{2} x^{2} =74[/tex]
[tex]\frac{1}{2} x^{2} =25[/tex]
[tex]\frac{1}{2} x=5[/tex]
[tex]x=10[/tex]
This ends in x equaling 10. I hope this helps you!
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.
Answer:
The answer is B on Edge
Step-by-step explanation:
Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Step-by-step explanation:
