A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?
A. $150
B. $155
C. $165
D. $180
A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:
Answer:
18 minutes
Step-by-step explanation:
Given that:
The arrival time = 3 customers / hour
The avg. service rate (s) = 12 minutes per customer
To hour, we have:
[tex]s = \dfrac{60}{12}[/tex]
s = 5 customers/ hour
Thus, the required average time for a customer needs to wait in line is:
[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]
To minutes;
[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]
= 18 minutes
3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1
Answer:
guihnijiop;kl;lkm
Step-by-step explanation:
Answer:
A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.
f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)
f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)
f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)
f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)
Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.
Step-by-step explanation:
plz mark me as brainlist
Pictures are in order !
Did you attach the photos because I don't see the picture???
Pls help with this problem. This is due today!
Answer:
2.8 > 2.8< i think
Step-by-step explanation:
What is the diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter?
Answer:
Diameter = 47.99
Step-by-step explanation:
A circle with an area of 1,808.64 square meters, rounded to the nearest meter and the diameter = 47.99.
We have to determine
The diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter.
What is the diameter of the circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Therefore we get the value of the diameter is = 47.99 meters.
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HELP. NO links. Please help I've been on this for a while
Answer:61
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{C.61}[/tex]
Step-by-step explanation:
Hello There!
Remember this is the triangle angle rule:
The angles of a triangle MUST have a sum of 180
That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180
so missing angle = 180 - 87 - 32
180 - 87 = 93
93 - 32 = 61
so we can conclude that the answer is c
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00
Help plssssssssss I don’t wanna fail
Answer: 5:15 PM
Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)
Calculate the distance traveled when moving at a rate
of 60mph for 3.5hrs.
Sentence Answer
how did we get this answer
Answer:
dist = 60 mph * (3.5 hrs) = 210 miles
The answer is 210 Miles
For Howards science experiment he needs 69 blocks that each have a mass of 0.5 kilograms. Is the total mass of the blocks 3.45 kilograms, 34.5 kilograms, or 345 kilograms?
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
what are all of the equivalent fractions for 1/3
Answer:
2/6 3/9
Step-by-step explanation:
Does anyone know how to do this?
Answer:
the formula to find the amount for number 7 is
A=p(1+r/n) raised to power n ,e.g
A=4000(1+4/1)raised to power 1
A=4000(1+4) raised to power 1
A=4000(5)
A=20,000.
to find interest
I=PRT/100
I=4000×4×1/100
I=#160
Help now please... I will mark brainlest
Answer:
60°
Step-by-step explanation:
That's an equilateral triangle therefore all sides and angles are the same.
Which of the following systems of linear inequalities is represented by the
solution graphed below?
O A. x>-1 and y 2-X
O B. y 2-1 and y<-X
O C. 2-1 and y> -X
OD. Y> -1 and ys-x
Answer:
B.
Step-by-step explanation:
i just solved it.
In this exercise we have to observe the graph informing and in this way identify the best alternative that represents this question, so we have to:
Letter B
So to start, we have to look at the graph axes separately, being the X axis first, then:
When we look at the area demarcated on the X axis, we realize that it is only about negative values, so X will always be less than zero.Now looking at the Y axis, we can see that it will always be values greater than or equal to -1.Thus, the alternative is found in the letter B, since:
[tex]Y\geq -1\\X\leq 0[/tex]
See more about graph at brainly.com/question/14375099
help pls will give brainliest !!!!
Answer:
can you retake the picture i cant really see this one very well
Step-by-step explanation:
Complete each statement using the words or algebraic expressions listed in the word bank below.
1. The length of the
of
the rectangular region
approximates the length of
the
of the circle.
2. The
of the rectangle
approximates the length of
one-half of the
circumference of the
circle.
3. The circumference of the circle is _______________________.
4. The _________________ of the ___________________ is 2.
5. The ratio of the circumference to the diameter is ______.
6. Area (circle) = Area of (_____________) =
1
2
∙ circumference ∙ =
1
2
(2) ∙ = ∙ ∙ = _____________.
Word bank
radius height base
diameter circle rectangle
�
Answer:
weisnedjdjjdidjdndndjddjxjjdjdndndjdjdndndndnddn
Solve 2(1/8)^1-2x = 16^x+6
Answer:
You cannot solve this, but you can try to simplify it: 16^x = −2x + −23/4
Find the average of f(x)=x^3-x over [0,2]
9514 1404 393
Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
A. Find the volume of a rectangular room measuring 22.75 ft. x 30 ft. x 14 ft.
B. Find the BTUs needed for that room if it faces South with poor insulation.
Help asap
Answer:
12 BTU
Step-by-step explanation:
Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist
Answer:
Ewan?1234567891011121314151617181920
Answer:
No clue at all. ?
Step-by-step explanation:
Find the perimeter of the semicircular region
22 mm
Answer:
The permiter is 22mm since its still the same
Step-by-step explanation:
George pass on the way to school distance 200 meters in 165 seconds. What is
his average walking speed in m/s?
Answer:
1.21212121212 or average of basically 1 meter per second
Step-by-step explanation:
Formula: distance over time
Take distance and divide that by time you would get the answer.
A restaurant noted what type of food its customers purchased last week.Here are the results
Answer:
There is no link to the results/question.
X-1
Which graph shows the solution set of
1-X
O
-5 -4 -3 -2 -1 0
1
2
3 4
5
X
O
-5 -4 -3 -2 -1
0
1
2
3
4
5
x
O
54 -3 -2 -1
0
1
2
3
4
5
x
O
-5 -4 -3 -2
0
1
2
3
4
5
X
Answer:
2nd
Step-by-step explanation:
the second pic from the given figure show the correct answer
The graph (C) shows the solution set of (x-1 )/ (1-x) < 0.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given:
According to the question, we have the Expression
(x-1 )/ (1-x) < 0
Because the function exists, the denominator is not equal to zero. That is, x does not equal 1. Because the denominator is zero when x = 1 and the function is not defined.
Thus, in the solution set of (x-1 )/ (1-x) < 0 excluding one, at every real number is function is defined.
Therefore, the correct option is C shows the solution set.
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The general form of the equation of a circle is a X squared plus BY squared plus 3X plus 3Y plus Z equals zero wear a equals B does not equal zero is the circle has a radius of three units in the center lies on the Y axis, which set of values of a B C,D and E my correspond to the circle
The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:
A = 1, B = 1, C = 0, D = 3, E = 0.
The general equation of a circle is given by:
x^2 + y^2 + 2gx + 2fy + c = 0
In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:
The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.
The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.
Using the information above, we can substitute the values into the general equation to solve for the corresponding values:
Substituting the x-coordinate of the center (zero) into the equation, we have:
0^2 + y^2 + 2g(0) + 2fy + c = 0
y^2 + 2fy + c = 0
Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.
Substituting the radius of the circle (three) into the equation, we have:
(3)^2 = 9
Therefore, the equation becomes:
y^2 + 2fy + c = 9
Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:
A = 1 (coefficient of x^2)
B = 1 (coefficient of y^2)
C = 0 (constant term)
D = 3 (coefficient of x)
E = 0 (coefficient of y)
Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.
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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(3, -2)
Step-by-step explanation:
Porfavor ayúdenme...
Answer:
oui,12 Crais Una vez Al mes