Answer:
$2.25
Step-by-step explanation:
10*0.10= $1.00
5*0.25= $1.25
1+1.25= $2.25
When you became a manager, your 49478 annual salary increased 22%. You found the new job too stressful and requested a return to your original job. You
resumed your former duties at a 23% reduction in salary. How much are you making at your old job after the transfer and return? Estimate your answer to 0
places after the decimal.
Answer:
$46,479
Step-by-step explanation:
22% of 49478 is 10885.
You add them.
60363.
Then take 23% of that which is 13883.
Then subtract them.
$46,479
Hope this helps
Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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Find equations of the normal plane and osculating plane of the curve at the given point.
x = 5t, y = t^2
, z = t^3
; (5, 1, 1)
(a) An equation for the normal plane is
O 5x + 2y + 3z = -30
O 30x + 2y + 3z = 30
O 5x + 3y + 2z = 30
O 5x + 2y + 3z = 30
O 5x + 2y - 3z = 30
b) An equation for the osculating plane is
O 3x - 15y + 5z = 5
O 3x - 15y + 5z = -5
O x - 15y + 3z = 5
O 3x - y + 3z= 5
O 3x - 15y + 5z = 15
Answer:
Step-by-step explanation:
To find the normal plane and osculating plane, we first need to find the required derivatives.
x = 5t, y = t^2, z = t^3
dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2
So, the velocity vector v and acceleration vector a are:
v = <5, 2t, 3t^2>
a = <0, 2, 6t>
Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.
v(1) = <5, 2, 3>
a(1) = <0, 2, 6>
The normal vector N is the unit vector in the direction of a:
N = a/|a| = <0, 1/√10, 3/√10>
Using the point-normal form of the equation for a plane:
normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0
Simplifying this equation we get:
5x + 2y + 3z = 30
The osculating plane can be found using the formula:
osculating plane equation = r(t) · [(r(t) x r''(t))] = 0
where r(t) is the position vector, and x is the cross product.
At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.
r(1) x v(1) = <-1, 22, -5>
r(1) x a(1) = <12, -6, -10>
v(1) x a(1) = <-12, 0, 10>
Substituting these values into the formula, we get:
osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0
Simplifying this equation we get:
3x - 15y + 5z = 5
Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:
(a) 5x + 2y + 3z = 30
(b) 3x - 15y + 5z = 5
4.17. for a standard normal random variable z, compute (a) p(z ≥ 0.99) (b) p(z ≤ −0.99) (c) p(z < 0.99) (d) p(|z| > 0.99) (e) p(z < 10.0) (f) p(z > 10.0) (g) with probability 0.9, variable z is less than what?
Answer: 1.28
Step-by-step explanation:
1. P(Z > 0.99) = 1 -Ф (0.99) = 1-0.8389 = 0.1611
2.P(Z <-0.99) = Ф(-0.99) = 0.161 (known that from [a] by symmetry)
3.P(Z <0.99) = Ф(0.99) = 0.8389
4. P(Z >0.99) = P(Z <-0.99) + P(Z > 0.99) = 2(0.1611) = 0.3222
The value z = 10.0 is out because it is too large. On comparing with the largest value, z = 3.99,
we get
5. P(Z < 10.0) > P(Z <3.99) = 1.0
6.P(Z > 10.0)<P(Z > 3.99) =10.0
7. On solving the equation
Ф(Z) = 0.9
for Z.
In Table A4, find the value of z corresponding to the probability 0.9. The nearest value is Ф(1.28) = 0.8997. Therefore, z ≈ 1.28
Find the inequality represented by the graph
Can someone help with this?
Answer:
10\(\sqrt{15}\) + 21\(\sqrt{10}\)
Step-by-step explanation:
-\sqrt{15}(-10-7\sqrt{6})
−
15
(−10−7
6
)
expand -sqrt15(-10-7sqrt6)
1 Expand by distributing terms.
-(-10\sqrt{15}-21\sqrt{10})
−(−10
15
−21
10
)
2 Remove parentheses.
10\sqrt{15}+21\sqrt{10}
10
15
+21
10
What does the point (4,80) represent?
The bicyclist rides 80
miles in 4
hours.
Part 2 X
What is the constant of proportionality?
The constant of proportionality is 20
Part 3 out of 3
Enter an equation in the form y = kx for this relationship.
The equation is y=
Next
✓ Check
The point (4,80) represents the distance covered by a bicyclist who rides 80 miles in 4 hours, where 4 represents the number of hours and 80 represents the distance covered in miles.
In the given scenario, the constant of proportionality is the rate of speed at which the bicyclist is riding, which is calculated as distance/time or 80/4 = 20 miles per hour. The equation in the form of y = kx for this relationship is y = 20x, where y represents the distance covered in miles and x represents the time taken in hours. The constant of proportionality, k, is equal to 20, which represents the speed at which the bicyclist is riding. Therefore, the equation y = 20x represents the relationship between the distance covered by the bicyclist and the time taken to cover that distance.
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Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
Volume = 3000 ft³
9.3 ft
The missing dimension is about
feet.
The missing dimension (height) of the cylinder is 11.62 feet.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
3000 = π(9.3)²h
Simplifying and solving for h:
h = 3000 / (π(9.3)²)
h ≈ 11.62 feet
Thus, the missing dimension (height) of the cylinder is 11.62 feet.
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5.
Each car is traveling at a constant speed.
Find the number of miles each car travels in
1 hour at the given rate.
a) 135 miles in 3 hours
b) 22 miles in-hour
c) 7.5 miles in 1/4 hours
d) 100/3 miles in 2/3 hours
e) 97 1/2 miles in 3/2 hours
The speeds for each of the given distance and times are;
A) 45 miles per hr
B) 22 miles per hr
C) 30 miles per hr
D) 50 miles per hr
E) 65 miles per hr
What is the speed rate?
To convert the given values of distance and time to speed in miles per hour, we will just divide the time by the distance. Speed = distance/time
A) 135 miles in 3 hours. Thus;
Speed = 135/3 miles per hour = 45 miles per hr
B) 22 miles in 1 hour. Thus;
Speed = 22/1 miles per hr = 22 miles per hr
C) 7.5 miles in 1/4 hour. Thus;
Speed = 7.5/(1/4) miles per hour = 30 miles per hr
D) 100/3 in 2/3 hour. Thus;
Speed = (100/3 ÷ 2/3) = 50 mph
E) 97.5 in 1.5 hours. Thus;
Speed = 65 miles per hr
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If bananas cost $0.58 per pound at the grocery store when Anna went how much would you pay for a total of 5 lb of bananas
Answer:
$2.90
Step-by-step explanation:
19x + 8 - 7x = 48 - 8x
Answer:
x = 2
Step-by-step explanation:
19x - 7x + 8x = 48 - 8
20x = 40
20x/20 = 40/20
x =2
Answer:
x=2
Step-by-step explanation:
\(19x + 8 - 7x = 48 - 8x \\ ⟹ 12x + 8 = 48 - 8x \\ ⟹ 12x + 8x = 48 - 8 \\ ⟹20x = 40 \\ ⟹ x = \frac{40}{20} \\ ⟹x = 2\)
what is 12/4 plus 18 as a fraction
Answer:
21
Step-by-step explanation:
12/4.+18
The lcm is 4.
12+4(18) all divided by 4
12+72=84
84/4=21
Answer:
\( \frac{84}{4} \: or \: 21\)
Step-by-step explanation:
\( \frac{12}{4} + 18 = \frac{12}{4} + \frac{18}{1} = \frac{12 + 72}{4} = \frac{84}{4} \: or \: 21 \)
Criss cross the fraction and you will get the answer.
Hope this helps ;) ❤❤❤
 Which graph shows the line of best fit for the data ?
The bottom right graph shows the line of best fit for the data.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
Hence the graph of the line of best fit should have the smallest possible residual values, meaning that the points on the scatter plot are the closest possible to the line.
For this problem, we have that the bottom right graph has the smaller residuals, hence it shows the line of best fit for the data.
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A triangular prism is shown below. What is the volume of the prism in cubic centimeters? Group of answer choices
A.168
B.840
C.280
D.336
A. the function has a maximum value of 1
B.the function has a minimum value of 1
C.the function has a maximum value of -2
D.the function has a minimum value of -2
Answer:
A) The function has a maximum value of 1
Step-by-step explanation:
Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞
If x is an int where x = 0, what will x be after the following loop terminates?
while (x < 100)
x *= 2;
A.2
B. 64
C. 100
D. 128
E.None of the above, this is an infinite loop
After the loop terminates, x has the value 128.
How to find x after the given loop terminates?If x is an int where x = 0, then x will be 128 after the following loop terminates:
while (x < 100)x *= 2
In the loop given above, the value of x is 0. The loop continues to execute as long as the value of x is less than 100. In the loop, x is multiplied by 2 in each iteration. If we multiply 0 by any value, the result will always be 0.
Therefore, the loop does not execute in the first iteration itself. But after that, the value of x becomes 0 since it has been multiplied by 2 in each iteration.
In this case, it will be multiplied by 2 six times before the value of x becomes greater than or equal to 100.2⁶ = 64So, x = 64 after six iterations.
After the loop terminates, x has the value 128.
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0.326 as a percentage
Answer: 32.6%
Step-by-step explanation:
percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6
-7 2/3 + (-5 1/3) + 8 3/4=?
A: 6 7/12
B: -4 5/12
C: -21 11/12
D: 4 2/3
Its B
Hope this helps!
May I have brainliest please? :D
The Answer is -4 1/4
Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour
Answer:
The final total including tax is 838.5
The sale tax is 58.5
Step-by-step explanation:
What’s the surface area of a square pyramid that has a base length of 5 inches and triangular faces that are 9 inches tall?
25. find the exact value of each expression. a. cos(-10pi/3)
The exact value of the expression cos(-10pi/3) is -1/2.
How to find the exact value of the expression?To find the exact value of cos(-10pi/3), follow these steps:
1. Determine the equivalent positive angle: Since the cosine function has a period of 2pi, we can add multiples of 2pi to the angle until we get a positive angle. In this case, we add 4pi (since 4pi = 12pi/3) to get the equivalent positive angle:
(-10pi/3) + (12pi/3) = 2pi/3.
2. Find the cosine value of the positive angle: Now, we find the cosine value of the positive angle 2pi/3. Using the unit circle, we can determine that cos(2pi/3) = -1/2.
So, the exact value of the expression cos(-10pi/3) is -1/2.
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how do you multiply a square root by a square root and a whole number?
for example, the square root of 5 times (4 times the square root of 5) is 20, but i don’t understand how rob solve for this thanks!
To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication
Given data ,
Let the numbers be represented by the expression A
Now , the value of A is
A = √2 × 3√5
First, you can simplify each square root:
√2 = 1.4142 (rounded to 4 decimal places)
3√5 = 5.1962 (rounded to 4 decimal places)
Next, you can multiply the two simplified square roots and the whole number:
√2 × 3√5 = 1.4142 × 5.1962 × 3
= 22.3607 × 3
= 67.0821
Hence , the expression is A = √2 × 3√5 = 67.0821
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What is the rounded average of the test grades: 98, 100, 100, 79, 85, 79, 83?
2
90%
87%
89%
88%
Answer:
Step-by-step explanation:
Average = sum of number/total number
Given 07 number are= 98, 100, 100, 79, 85, 79, 83
average=98+100+100+79+85+79+83/7=89
Grounded average=89% answer
Question 1C Answer to (a) is alpha-theta answer to (b) C=90-alpha will give brainliest
Please mark answer as brainliest
Answer:
(c) AE = x·cos(α)/sin(θ)
(d) BD = x·cos(α)cos(α-θ)/cos(θ)
Step-by-step explanation:
In the given diagram, you want expressions for (c) AE and (d) BD in terms of x, α, and θ.
C. AEThe law of sines can be used in ∆ACE to give the measure of AE.
\(\dfrac{AE}{\sin(C)}=\dfrac{CE}{\sin(\theta)}\\\\\boxed{AE=\dfrac{x\,\cos(\alpha)}{\sin(\theta)}}\qquad\text{where $\sin(C)=\cos(\alpha)$ and $CE=x$}\)
D. BDThe length BD can be found in terms of AD and θ:
BD = AD·tan(θ)
The length AD can be found in terms of AE and (α-θ):
AD = AE·cos(α-θ)
Using the value of AE from part (c), we have ...
BD = AE·cos(α-θ)·tan(θ) = x·cos(α)cos(α-θ)·tan(θ)/sin(θ)
BD = x·cos(α)cos(α-θ)/cos(θ) . . . . . . . using tan/sin = 1/cos
__
Additional comment
We assume angle EAC is θ throughout, as it is in part (a).
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PLZZZZZZ HELP MEEE THIS DUE IN 5 MIN PLZZZZ ITS SOOO HARD
Question: If I have 4 apples and I take away 1 how many do I have?
Answer:
3 apples
boom. brainliest
The double number line shows that 444 pounds of almonds cost \$34$34dollar sign, 34.
Based on the ratio shown in the double number line, what is the cost for 555 pounds of almonds?
\$
Answer:
Step-by-step explanation:
444 pounds for 34= 34/444= $0.0765 a pound
0.0765 * 555 pounds= $42.4575 or $42.46
Answer:
$42.50 Tust me it's right!
Decide whether the statement is true or false. Choose the correct answer below. A. True because (ø) is a subset of Ø. B. False because Ø contains 0 elements so the only element of (Ø) is 0
C. False because Ø contains no elements so nothing can belong to it
D. True because (0) represents a set with one element, Ø
The correct answer is C. False because Ø contains no elements so nothing can belong to it.
In the area of mathematical logic known as set theory, we study sets and their characteristics. A set is a grouping or collection of objects. These things are frequently referred to as elements or set members. A set is, for instance, a team of cricket players.
We can say that this set is finite because a cricket team can only have 11 players at a time. A collection of English vowels is another illustration of a finite set. However, many sets, including sets of whole numbers, imaginary numbers, real numbers, and natural numbers, among others, have an unlimited number of members.
False because Ø contains no elements so nothing can belong to it.
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Here are 4 triangles that have each been transformed by a different transformation Which transformation is not a rigid transformation?
Answer:
A
Step-by-step explanation:
I took the test and its A.
The transformation that is not a rigid transformation is the first triangle ABC i.e option A.
Rigid transformation is the procedures required to resize or reshape a given object so as to produce the required image. The types of rigid transformation are: translation, reflection, dilation and rotation.
Considering the triangles in the given question, it can be observed that:
i. Triangle ABC compared with its image, has not obeyed the principle.
ii. Clockwise rotation of triangle ABC using point C would produce triangle A'B'C'.
iii. Reflection of triangle ABC using point C as the reference point would produce its image A'B'C'.
iv. Dilating each of the side length of triangle ABC with an appropriate representative fraction would produce the image A'B'C'.
Therefore, the only transformation that is not a rigid transformation is the first triangle ABC i.e option A.
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Find the slope of the line that passes through (2, 6) and (6, 9).
Answer:
3/4 is the answer to ur question
In Exercises 20-25, find the standard matrix of the linear transformation from R2 to R2. 20. Counterclockwise rotation through 120 degree ab origin the 21. Clockwise rotation through 30degree about the origin 22. Projection onto the line y = 2x 23. Projection onto the line y=-x 24. Reflection in the line y = x
Answer:
please screen shot it so we cna help you