The volume of the cylinder is the amount of space in the cylinder
The volume of the cylinder is 218.4 cubic centimeter
How to determine the volume of the cylinder?The given parameters are:
Circumference (C) = 14 cm
Height (h) = 10.1 cm
Start by calculating the radius (r) using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]2\pi r = 14[/tex]
Make r the subject
[tex]r =\frac 7\pi[/tex]
The volume of the cylinder is then calculated as:
[tex]V =\pi r^2h[/tex]
This gives
[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]
Evaluate
[tex]V =218.4[/tex]
Hence, the volume of the cylinder is 218.4 cubic centimeter
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The average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. On average, how many customers are there in the queue? a. 0.375 Customers b. 0.900 Customers c. 1.160 Customers d. 4.000 Customers
Answer:
Zero, based on the information provided.
Step-by-step explanation:
The output rate of the teller machine is (1 transaction/6 minutes). The input rate is (1 customer/10 minutes). This means that the machine completes a cycle faster than the customers arrive, on the average. I don't know how an average can be calculated without more information. If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line. Is there more information about when the customers arrive? E.g., 50 arrive in the first hour the machine is open.
If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.
What is the average number?M represent Markovian (memoryless) arrivals and service times
1 represents a single server.
Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.
The formula to determine the average number of customers in the queue (Lq) is:
Lq = (λ^2) / (μ * (μ - λ))
Plugging in the values:
λ = 1/10
μ = 1/6
Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))
Lq = (1/100) / ((1/6) * (10 - 6)/60))
Lq = (1/100) / ((1/6) * (4/60))
Lq = (1/100) / ((1/6) * (1/15))
Lq = (1/100) / (1/90)
Lq = (1/100) * (90/1)
Lq = 90/100
Lq = 0.9
Therefore, the correct option is B.
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estimate the product 8.1 times 4.2
Answer:
Approximately 32
Step-by-step explanation:
8.1 is closest to 8
4.2 is closest to 4
Thus, you can estimate the product to be 8*4=32
The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product
Which is the net of this solid?
O
Which is the net of this solid?
Answer:
I think the A is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
PLEASE please please please please please please I need it Badly
There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to randomly choose a card, replace it in the box, and choose another card.
Find P(Yellow, then Blue)
Answer:
Step-by-step explanation:
If you are doing probability with replacement they will all be 1/6 each time.
total there is 6/6. If you draw a yellow card first it's 1/6 then replace it and draw a blue it is still 1/6. so you take those two probabilities and multiply them (1/6)*(1/6)=1/36 1*1=1 and 6*6=36.
Your answer is 1/36
Which of the following is NOT the same for both sets of data?
MEAN?
MEDIAN?
MODE?
RANGE?
Answer:
Mode
Step-by-step explanation:
As you can see, the mode on the first data set is 10, the mode on the other is 30.
Find the value of each variable in the parallelogram.
Answer:
b=10
C=99
D=140
Step-by-step explanation:
because it’s a parallelogram
I need help ASAP, first one to get it correct gets 100 points.
Answer:
3D shape = cone
height = 3 units
diameter = 6 units
Step-by-step explanation:
3D shape = cone
height = 5 - 2 = 3 units
radius = 0 - (-3) = 3 units
diameter = 2 × radius = 2 × 3 = 6 units
(11x-5) degrees + (6x+5) degrees
Answer:
Answer: x = 10 degrees.
Step-by-step explanation:
What is the philtrum?
A. The creases in your lips
B. Centered and above your top lip where it dips down
C. Parts of your eyelids
D. The space between your nostrils
Answer:
Center and above your top lip where it dips down....
Diego's soccer team played in a tournament. The tournament started at 8:07 A.M. It ended at 3:44 P.M. How long did the soccer tournament last?
Answer:
Step-by-step explanation:
7 hours and 37 minuties
Answer:
5 hours
Step-by-step explanation:
it lasted 5 hours for the tournament
Find the exact length of side a
select a,b,c or d from the pictures, please help!
Answer:
D. 2√3Step-by-step explanation:
The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.
Side a = BC is opposite to ange A, its measure is:
BC/AC = √3BC = AC√3BC = 2√3Correct choice is D
Answer:
[tex]a=2\sqrt{3}[/tex]
Step-by-step explanation:
Side a is the side opposite angle A.
Side b is the side opposite angle B.
Side c is the side opposite angle C.
We have been given the lengths of 2 sides and the included angle.
Therefore, to find side a use the cosine rule.
Cosine rule
[tex]a^2=b^2+c^2-2bc \cos A[/tex]
where:
a, b and c are the sidesA is the angle opposite side aFrom inspection of the triangle:
side b = 2side c = 4angle A = 60°Substitute the given values into the formula and solve for a:
[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]
[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]
[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]
[tex]\implies a^2=4+16-8[/tex]
[tex]\implies a^2=12[/tex]
[tex]\implies a=\sqrt{12}[/tex]
[tex]\implies a=\sqrt{4 \cdot 3}[/tex]
[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]
[tex]\implies a=2\sqrt{3}[/tex]
Therefore, the exact length of side a is 2√3.
The fixed costs of a pizza shop are $24,000 a month. The pizza shop charges $8 per pizza and the variable cost to make each pizza is $3. How many pizzas does the company need to sell per month to break even?
What would the break even point be if the fixed and variable costs remained the same, but you increased the price of each pizza to $9?
Answer:
24x8+3+9=$44,839 a month
Step-by-step explanation:
What is a polygonal curve
Answer: It is a connected series of line segments such as the image shown below.
Hope this helps!
Tuesday
Sharon gets paid every other week.
She worked 19.5 hours one week and
20 hours the other week. How much
did she get paid, if she makes $9.25
per hour?
Answer:
$365.37
Step-by-step explanation:
add the hours up which is 20+19.5=39.5
then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
[tex]s = 5000(1.07) {}^{t} [/tex]
[tex]s = 5000(1.07) {}^{10} [/tex]
[tex]s = 5000(1.96715)[/tex]
[tex]s = 9835.756 \: dollars[/tex]
Write the equation of the exponential function, base 2.
Answer:
y=4(12)x
Step-by-step explanation:
An exponential function is in the general form
y=a(b)
This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.
Answer:
El area del trapecio mresponde a la relación
A = 1/2(B + b)*h
B = base mayor
b = bas menor
h = altura
En el caso en esrudio
250 = 1/2(B + 20)*10
2*250/10 = B + 20
50 = B + 20
50 - 20 = B
B = 30
BASE MAYOR = 30 PIES
Pls help me i will give the crown thing
Question 4 Part B (2 points): Drag and
drop the units of measurement that
correctly represent the composite
function you created in part A. Click on
the image to refer back to Part A.
The composite function for part a was 20d-(80) = 67
Answer:
Given function:
t(s) = 3s + 20
where:
t(s) = number of palm trees growns = number of seeds plantedGiven function:
s(d) = 20d
where:
s(d) = number of seeds planted per dayd = number of daysTo determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:
⇒ t(d) = 3(20d) + 20
⇒ t(d) = 60d + 20
The unit of measurement is how many palm trees Carlos can expect to grow over a certain number of days:
[tex]\sf \dfrac{palm \ trees}{days}[/tex]
Pls help im in a hurry
So im in 7th grade and im doing a practice test and you know my brain doesn't work so i need answers.
I have 10 mins to take it
Pls help
Answer:
x = -3.5
y = 1.5
so W = (-3.5, 1.5)
Step-by-step explanation:
find the value of 85²-15² using the difference of two squares method
Answer:
[tex]7000[/tex]
Step-by-step explanation:
Recall the form of the difference of squares.
[tex]x^2 - y^2 = (x+y)(x-y)\\\\\\[/tex]
Now let's apply it to your numbers:
[tex]85^2 - 15^2 = (85 + 15)(85 - 15)[/tex]
Simplify:
[tex](100)(70) = 7000[/tex]
?A bag contains red, blue, and green candies. Benjamin pour
out a handful and counted 10 red, 6 blue, and 14 green
candies. According to these ratios, if the bag contains a total of
400 candies, about how many of them are blue?
In this box-and-whisker plot, what is the maximum value of the data.
A: 53 B: 56 C: 60 D: 68
Answer:
68
this will be your maximum because of where the dot ends
255, 250, 245, ...
Find the 40th term.
Answer:
so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.
so, 255+ (-5) (39) = 255 - 195 = 60
which is our 40th term.
The 40th term of (255, 250, 245...) is 60.
What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.Calculations :
The formula to find the nth term = [tex]a_{n}[/tex] = -5n + 260
= [tex]a_{40}[/tex] x 5n = 260
= 260 - 200 = 60
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Write as a square of a binomial:
4.8xy+36y^2+0.16x^2
Answer:
(0.4x + 6y)²
Step-by-step explanation:
rsm sucks. i have a 5 hour class tomorrow and i hate it but here you go this is the right answer
What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
(x + 7)2 + (y + 5)2 = 16
(x − 7)2 + (y − 5)2 = 16
(x + 7)2 + (y − 5)2 = 16
(x − 7)2 + (y + 5)2 = 16
Answer:
(x − 7)2 + (y − 5)2 = 16Step-by-step explanation:
The given circle has equation
[tex] \sf \: x^2+y^2=16x[/tex]
The equation of a circle with center (h,k) and radius r units is
[tex] \sf(x-h)^2+(y-k)^2=r^2(x−h) [/tex]
[tex] \sf(x-7)^2+(y-5)^2=4^2(x−7)[/tex]
[tex] \sf(x-7)^2+(y-5)^2=16(x−7) [/tex]
❖ Tip❖ :-This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).
A manufacturer of headphones determines that the cost per unit for a pair of headphones is $38 and that the fixed cost is $24,400. The selling price for the headphones is $99. Find the break-even point.
please help and show the work thank you.
Answer:
Solve the following equation
Step-by-step explanation:
x is the amount of headphones
38x = 99x + 24400
Find when both sides are equal, that is the break even
Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.
[tex]f(x)=x\sqrt{x+8}[/tex]
Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answer:
Width: 11.5 inches; Length: 16.5 inches
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=56
4w=46
w=11.5, l=16.5
Answer:
Length = 16.5 inchesWidth = 11.5 inches⠀
Step-by-step explanation :
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 11.5 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]
⠀
Therefore,
The length of the rectangle is 16.5 inches .⠀
Which angles are alternate interior angles?
Answer:
Step-by-step explanation:
∠DEH=∠IHE (alternate angles)
The following refers to a purchase of a machine by a company on January 1, 2016
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
The maximum amount the company can pay is $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.
How to calculate the cash flow?Number of period = 6 × 2 = 12
Rate = 4% / 2 = 2%
Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0
Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885
Annual cash flow × 10.5753 = $32348 - $5914
Annual cash flow × 10.5753 = $26434
Annual cash flow = 26434/10.5753
Annual cash flow = $2500
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