Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation:
$640 , 3% , 2 years Find the simple interest earned to the nearest cent for each principal , interest rate , and time
The simple interest for principal of 640 and rate of 3% and time of 2 years is $3.84
How to find the simple interestThe Simple interest the end of 2 years is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $640
rate= 3%
time = 2 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 640 * 2 * 3 /100
Simple interest = 3840 / 100
Simple interest = $3.84
The simple interest is $3.84
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Customers enter the waiting line at a cafeteria on a first-come, first served basis. The arrival rate follows a Poisson distribution, and service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute. What is the average number of customers in the system?
Answer:
the average no of customers in the system is 0.9
Step-by-step explanation:
Given that
The average number of arrivals is 6 per minute
And, the average service rate of a single server is 10 minutes
We need to find out the average no of customers in the system
So,
Lq = rho^2 / 1 ÷ rho
= (6 ÷ 10)^2 ÷ (1 - 6 ÷ 10)
= 36 ÷ 100 × 10 ÷ 4
= 0.9
Hence, the average no of customers in the system is 0.9
Evaluate this problem
Answer:
78
Step-by-step explanation:
a + 8b = 6 + 8 x 9 = 6 + 72 = 78
Answer: 78
Step-by-step explanation:
value of a=6
value of b=9
a+8b= 6+8*9
as the 8 will be multiplied by 9
6+8*9= 6+72
6+72 = 78
Let C be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle with radius 9, and the y-axis, oriented counterclockwise starting from the origin. Label the edges of the boundary as C1,C2,C3 starting from the bottom edge going counterclockwise. Give each edge a constant speed parametrization with domain 0≤t≤1.
Solution :
Along the edge [tex]$C_1$[/tex]
The parametric equation for [tex]$C_1$[/tex] is given :
[tex]$x_1(t) = 9t , y_2(t) = 0 \ \ for \ \ 0 \leq t \leq 1$[/tex]
Along edge [tex]$C_2$[/tex]
The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain [tex]$0 \leq t \leq 1 $[/tex] is then given by :
[tex]$x_2(t) = 9 \cos \left(\frac{\pi }{2}t\right)$[/tex]
[tex]$y_2(t) = 9 \sin \left(\frac{\pi }{2}t\right)$[/tex]
Along edge [tex]$C_3$[/tex]
The parametric equation for [tex]$C_3$[/tex] is :
[tex]$x_1(t) = 0, \ \ \ y_2(t) = 9t \ \ \ for \ 0 \leq t \leq 1$[/tex]
Now,
x = 9t, ⇒ dx = 9 dt
y = 0, ⇒ dy = 0
[tex]$\int_{C_{1}}y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
And
[tex]$x(t) = 9 \cos \left(\frac{\pi}{2}t\right) \Rightarrow dx = -\frac{7 \pi}{2} \sin \left(\frac{\pi}{2}t\right)$[/tex]
[tex]$y(t) = 9 \sin \left(\frac{\pi}{2}t\right) \Rightarrow dy = -\frac{7 \pi}{2} \cos \left(\frac{\pi}{2}t\right)$[/tex]
Then :
[tex]$\int_{C_1} y^2 x dx + x^2 y dy$[/tex]
[tex]$=\int_0^1 \left[\left( 9 \sin \frac{\pi}{2}t\right)^2\left(9 \cos \frac{\pi}{2}t\right)\left(-\frac{7 \pi}{2} \sin \frac{\pi}{2}t dt\right) + \left( 9 \cos \frac{\pi}{2}t\right)^2\left(9 \sin \frac{\pi}{2}t\right)\left(\frac{7 \pi}{2} \cos \frac{\pi}{2}t dt\right) \right]$[/tex]
[tex]$=\left[-9^4\ \frac{\cos^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} -9^4\ \frac{\sin^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} \right]_0^1$[/tex]
= 0
And
x = 0, ⇒ dx = 0
y = 9 t, ⇒ dy = 9 dt
[tex]$\int_{C_3} y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
Therefore,
[tex]$ \oint y^2xdx +x^2ydy = \int_{C_1} y^2 x dx + x^2 x dx+ \int_{C_2} y^2 x dx + x^2 x dx+ \int_{C_3} y^2 x dx + x^2 x dx $[/tex]
= 0 + 0 + 0
Applying the Green's theorem
[tex]$x^2 +y^2 = 81 \Rightarrow x \pm \sqrt{81-y^2}$[/tex]
[tex]$\int_C P dx + Q dy = \int \int_R\left(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\right) dx dy $[/tex]
Here,
[tex]$P(x,y) = y^2x \Rightarrow \frac{\partial P}{\partial y} = 2xy$[/tex]
[tex]$Q(x,y) = x^2y \Rightarrow \frac{\partial Q}{\partial x} = 2xy$[/tex]
[tex]$\left(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right) = 2xy - 2xy = 0$[/tex]
Therefore,
[tex]$\oint_Cy^2xdx+x^2ydy = \int_0^9 \int_0^{\sqrt{81-y^2}}0 \ dx dy$[/tex]
[tex]$= \int_0^9 0\ dy = 0$[/tex]
The vector field F is = [tex]$y^2 x \hat i+x^2 y \hat j$[/tex] is conservative.
can you guys help me pls NO LINKS
Which negative angle is equivalent to 275°?
O A. -75°
OB. -65°
O C. -95°
OD. -85
Answer:
-85º
Step-by-step explanation:
275 - 360 = -85
Can someone help me out
Answer:
1. 29. Solve for the variable and graph the solution on a number line: –2x < –10 30. Solve for the variable and graph the solution on a number line: 9 + c > –2 31. Solve for the variable and graph the solution
2. v – 4 ≥ 3 (6 + 2v
3. The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20 Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -8
4.The first term is, 4p 2 its coefficient is 4 . The middle term is, -8p its coefficient is -8 . The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-by-step explanation:
the rest is up to you, and u better say thanks and give me brainliest this took ages to explain
What is the measure of each exterior angle for a regular polygon with 4 sides?
A. 90°
B. 60°
C. 30°
D. 45°
What is the answer
Answer:
90
Step-by-step explanation:
A regular quadrilateral is a square.
The sum of the exterior angles of a polygon is always
360 degrees
Therefore a quadrilateral has four exterior angles making the individual exterior angles
360 over 4=90 degrees
Hope this helps plz like and brainly :D
much would be appreciated <3
2√54 - √27 - 3√24 how to simplify
Answer: -3√3
Step-by-step explanation: Factor out the square roots from each term
2√54 -> 6√6
√27 -> 3√3
3√24 -> 6√6
The equation becomes 6√6 - 3√3 - 6√6
By combining like terms we can eliminate 6√6
This leaves us with -3√3 as the simplified solution
Answer:
-3√3
Step-by-step explanation:
do the hcf method to get all the values outside
hcf of 54= 2, 3, 3, 3
hcf of 27 = 3, 3, 3
hcf of 24 = 2,2,3,3
2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3
take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number
2×3√2×3 - 3✓3 -3×2×3
6√6 - 3√3 - 3×2×3
6×3 - 3√3 - 3×2×3
18-18 - 3✓3
-3√3
What is the slope of the line through the points (2,5) and (6, 13)?
Answer:
m = 2
Step-by-step explanation:
[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]
Hope this helps.
The practice of providing help and advice to people in a community before they have to ask for it is called? A sponsor OR B outreach
Answer:
Step-by-step explanation:
B im pretty sure hope its right
Use the two way table below to answer the question given.
Favor Do not favor No opinion
Male 20 15 17
Female 18 12 7
Are the events 'male' and 'favor independent?
Answer:
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
In this question:
Event A: Male
Event B: Independent
Probability of male:
20 + 15 + 17 = 52 out of (20 + 15 + 17 + 18 + 12 + 7) = 89.
So
[tex]P(A) = \frac{52}{89}[/tex]
Probability of favoring independent:
20 + 18 = 38 out of 89. So
[tex]P(B) = \frac{38}{89}[/tex]
Probability of male and favoring independent:
20 out of 89. So
[tex]P(A \cap B) = \frac{20}{89}[/tex]
Test if they are independent:
[tex]P(A)P(B) = \frac{52}{89}*\frac{38}{89} = \frac{52*38}{89*89} = 0.24946[/tex]
[tex]P(A \cap B) = \frac{20}{89} = 0.22472[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
whats the answer??
its math related
Answer:
30
Step-by-step explanation:
x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30
Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
Internal angles of a triangle sum 180°
Then:
x + 2x +3x = 180
6x = 180
x = 180/6
x = 30°
2x = 60°
3x = 90°
Help pls help me with this question
Answer:
E 16 cm
5cm + 5cm = 10cm
3cm + 3cm = 6cm
10cm + 6cm
= 16 cm
5×3=15 so 15 is your answer
Tickets for the theater are $5 for the balcony and $10 for the floor level. The total money
collected is $350. There are 55 tickets sold all together. *
How many balcony and how many floor level tickets were sold?
O 5 balcony / 10 floor
o 50 balcony / 5 floor
O 20 balcony / 30 floor
40 balcony / 15 floor
Answer:
40 Balcony/15 floor
Step-by-step explanation:
A and C are out instantly cause the amount of tickets sold doesnt equal 55 and B is out cause 50x5=250 and 5x10=50 which totals to 300 not 350
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
9514 1404 393
Answer:
56.8 in
Step-by-step explanation:
The side length (s) can be found using the Pythagorean theorem. The short leg of the right triangle is 17/2 = 8.5 inches.
8.5^2 + 18^2 = s^2
s = √396.25 ≈ 19.906 . . . inches
Then the perimeter is ...
2 × 19.9 in + 17 in = 56.8 in
Answer:
56.8
Step-by-step explanation:
You hike 220 meters up a steep hill that has a 43 degree angle of elevation as shown in the diagram
Answer:
9460
Step-by-step explanation:
The number of tomato plants Jeff planted went from 4 last year to 12 this year. Find the percent increase.
A bag has 4 green cards, 9 blue cards, 3 purple cards,
and x pink card(s). Each card is a solid color. What is
the probability that a card randomly chosen from the
bag is purple?
answer:
h
Step-by-step explanation:
if there is more blues and green cards than purple there is a lower chance of getting purple
Answer:
[tex]K)~\frac{3}{16+x}[/tex]
Step-by-step explanation:
[tex]green~ cards=4[/tex]
[tex]blue ~cards=9[/tex]
[tex]purple~ cards=3[/tex]
[tex]pink ~cards=x[/tex]
[tex]total:-[/tex] 4×9×3×x
→ [tex]16+x[/tex]
[tex]p(x)=\frac{3}{16+x}[/tex]
[tex]Answer:K[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Can y’all pls help me solve this!!
Find the angle that gives the Sine value of .9848 *
find the product. Simplify
t(3t^2-2t)
Answer:
3t^3-2t^2
Step-by-step explanation:
Multiply the terms inside the parenthesis by the term outside.
In this case its t.
Brocolli cost $3.36 a pound at the market. If Marisa
bought 2.5 pounds, what was the cost?
Answer:
Step-by-step explanation:
8.4
Answer:
$8.4
Step-by-step explanation:
[tex]3.36*2.5[/tex]
What is the equation of the line through B and C? B = (4,2) C = (-1,-3).
A.y=x+2
B.y=x−2
C.y=−2x+1
D.y=−x+2
Answer:
y=x-2
Step-by-step explanation:
I graphed the equations on desmos and saw which one had those ordered pairs on the line.
How to find an equation for a line through two given points?
Answer:
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
[tex]m = \frac{6}{10} = 0.6[/tex]
Then
[tex]y = 0.6x + b[/tex]
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
[tex]y = 0.6x + b[/tex]
[tex]3 = 0.6*4 + b[/tex]
[tex]2.4 + b = 3[/tex]
[tex]b = 0.6[/tex]
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
3 is what percent of 15
Answer:
3 is 20% of 15
Step-by-step explanation:
I need Part E,F,G, and H for Math please ;(
Answer:
Rounding to tenths
E: 56.8 %
F: 48.8 %
G: 44.9 %
H: 50.4 %
Step-by-step explanation:
Hope this helps!
Answer:
50.4 percent is f
Step-by-step explanation:
and the steps is calculate it
pls help I'll give you brainliest
Can y’all help me on question 7?!
Answer:
A
Step-by-step explanation:
its just a definition
Answer:
A
Step-by-step explanation:
The x and y coordinates are both positive. The clue of how to solve this is just to look at the x and y axis.
If x>0 (x is positive) then you are going right from (0,0).
If y >0 (y is positive) then you are going up.
Which quadrant does that?
Use an example
(4,2)
What quadrant are you in? If you said 1, you are correct. So the answer is A.
After 9 years in an account with a 3.9% annual interest rate compounded continuously, an investment is worth a total of $17,757.16. What is the value of the principal investment? Around the answer to the nearest penny.
The value of the principal investment would be = $12,500.75
What is a principal investment?A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.
The years of investment (t) = 9 years
The annual interest rate (r) = 3.9% = 3.9/100= 0.039
The total worth of the investment (A) = $17,757.16
Then, solve the equation for P
P = A / ert
P = 17,757.16 / e(0.039*9)
P = $12,500.75
Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75
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