Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins
Answer:
[tex]d=10568.76rads[/tex]
Step-by-step explanation:
From the question we are told that:
Angular Velocity [tex]\omega=580rpm=>60.74rads/sec[/tex]
Time [tex]t=2.9mins=>174sec[/tex]
Generally the equation for distance d is mathematically given by
[tex]d=\omega*t[/tex]
[tex]d=60.74*174[/tex]
[tex]d=10568.76rads[/tex]
The annual demand for a product is 17,200 units. The weekly demand is 331 units with a standard deviation of 85 units. The cost to place an order is $31.50, and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 95 percent service probability. (Round your answer to the nearest whole number.)
Reorder point
b. Suppose the production manager is asked to reduce the safety stock of this item by 60 percent. If she does so, what will the new service probability be? (Round your answer to 3 decimal places.)
Service probability
Answer:
R = 2414 units
0.794
Step-by-step explanation:
Given:
Weekly demand, D = 331 units
Lead time (L)= 6 weeks
Standard Deviation (SD) = 85 units
The reorder point is calculated using the relation :
R = D*L + z*(SDw)
SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21
z = NORMSINV(0.98) = 2.05
R = (331 * 6) + (2.05 * 208.21)
R = 1986 + 428.122
R = 2414.122
R = 2414 units
The Safety stock, SS
SS = z * SDw
SS = 2.05 * 208.21
SS = 426.8305 units
60% reduction :
426.8305 * (1 - 60%)
= 170.7322
= 171 units
The new service probability ;
SS = z * SDw
171 = z * 208.21
z = 171 / 208.21
z = 0.82
P(Z < 1.02) = 0.7938 = 0.794 = 79.4%
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = 30
Answer:
y=(x/2)+5
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.
y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.
Write an equation of the line that has a slope of -3 and y-intercept 7 in slope-intercept form.
Answer:
Step-by-step explanation:
No. 1 “The printing of more
currency notes will increase inflation.”
Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h).
Answer:
Step-by-step explanation:
o.6214 miles= 1km
1 mile=1/0.6214 =(10000)/6214 km
38 miles=(10000)/6214 ×38 ≈61.1 km/hr
Complete parts (a) through (c) below
a. A storage pod has a rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Alap pool has a length of 28 yards, a width of 20 yards, and a depth of 3 yards Find the poof's surface area (the water surface) and the total volume of water that the pool holds Raised flower bed is 30 feet long. 5 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds
The area of the floor of the pod is (Type an integer or a decimal)
The volume of the pod is (Type an integer or a decimal
b. The pool's surface area is (Type an integer or a decimal)
The total volume of the water that the pool holds (Type an integer or a decimal)
c. The area of the flower bed is (Type an integer or a decimal)
The volume of the soil that the flower bed holds is (Type an integer or a decimal)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Pool dimension :
rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor
Floor area = length * width
Floor area = 22 * 13 = 286 ft²
Volume of the pod :
Floor area * height = 286ft² * 7ft = 2002 ft³
2.)
Surface area = length * width
Surface area = 28 * 20 = 560 ft²
Volume of the pool :
Surface area * deptb = 560ft² * 7ft = 2002 ft³
3.)
Area of flower bed = length * width
Floor area = 30 * 5 = 150 ft²
Volume of the soil flowerbed holds :
Depth = 1.1 m
Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³
Find the missing angle x. Show your work.
Which angels are corresponding angles? Check all that apply
Answer:
Only A and B.
Step-by-step explanation:
Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same
Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?
Answer: 1360 cubic meter
Step-by-step explanation:
Volume of solid= Length*width*height
=8*17*10
=1360 cubic meter
seventy four lakh nine thousand eleven in numeral form
Seventy Four Lakh , Nine Thousand And Eleven=
7409011Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)
Answer:
Answer: 3) R(n) = 1200(1.002)n - 100n
Step-by-step explanation:
After n months, which function represents Chet’s net worth, R(n)?
(1) R(n) = 1200(1.002)n + 100n
(2) R(n) = 1200(1.002)12n + 100n
(3) R(n) = 1200(1.002)n - 100n
(4) R(n) = 1200(1.002)12n - 100n
Answer: 3) R(n) = 1200(1.002)n - 100n
Net worth is the amount of his savings minus his debt,
Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
I need to show an equation that gives me the answer
Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
7.296÷2.4
full answer please
One hundred forty-eight ten thousandth is
A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement until a blue ball is drawn. What is the probability that Jack draws the blue ball?
Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° respectively. How Far East of R is S
The more accurate value is 12.6274169979696, though it's not fully exact.
Round this however you need to.
The exact distance 32*sin(45) - 10 meters.
===========================================================
Explanation:
Refer to the diagram below.
I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.
Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.
In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.
We can use the sine ratio to say that
sin(angle) = opposite/hypotenuse
sin(A) = BR/AR
sin(30) = m/20
m = 20*sin(30)
m = 10
-----------------------------------
While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.
Notice how
angle RAB + angle RAC + angle CAS = 30+60+45 = 135
The remaining angle DAS is 180-135 = 45 degrees.
When focusing on triangle DAS, we can say
sin(A) = DS/AS
sin(45) = n/32
n = 32*sin(45)
n = 22.6274169979696
This value is approximate.
----------------------------------
Subtract the values of m and n
n - m = 32*sin(45) - 10 = exact distance
n - m = 22.6274169979696 - 10
n - m = 12.6274169979696
n - m = 12.6274 = approximate distance
Round it however you need to. I'm choosing to round to four decimal places.
So we see that point S is roughly 12.6274 meters east of point R.
If your teacher wants the exact distance, then stick with 32*sin(45)-10.
Solve the system of equations??
Answer:2921
Step-by-step explanation: Add the two equations together to get (x+y)+(x-y)=3500+2342. Simplify and get 2x=5842. Divide 5842 by 2 and get 2921.
You earn $36 for washing 6 cars. How much do you earn for washing 3 cars?
Answer:
18$
Step-by-step explanation:
36 divided by 6 is 6 dollars. this means you earn 6 dollars per car. multiply that by 3 cars and you get 18$.
Answer:
You earn $18 for washing 3 cars.
$36➗ 6= $6
$6x3= $18
A company reports the following income statement and balance sheet information for the current year:
Net income $216,060
Interest expense 38,130
Average total assets 2,290,000
Determine the return on total assets. If required, round the answer to one decimal place.
Answer:
9.4
Step-by-step explanation:
The net income for theis company is $216,060
The average total assets is 2,290,000
Therefore the return on total assets is
= 216,060/2,290,000
= 0.0943×100
=9.4
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
To learn more on Coordinate system click:
https://brainly.com/question/29762404
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Find the 3rd term in the expansion of (a + b)^7 in simplest form.
9514 1404 393Answer:
21·a^5·b^2
Step-by-step explanation:
The k-th term is ...
C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n
Then k=2 for the third term. The coefficient of it is ...
C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21
The third term is ...
21·a^5·b^2
Jerome's game score changed by
20 points because of penalties that
were worth –5 points each. How
many times was Jerome penalized?
Answer:
Jerome was penalized 4 times.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
Each penalty changes her score by 5 points. Her score was changed by 20 points. How many penalties?
1 penalty - 5 points
x penalties - 20 points
[tex]5x = 20[/tex]
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Jerome was penalized 4 times.
Please answer my question step be step
9514 1404 393
Answer:
z = 20
m∠A = 70°
Step-by-step explanation:
Step 0: read and understand the question. Identify the given information and the information requested.
Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.
Step 2: identify angles A and C as being marked with expressions in z.
Step 3: use those expressions and the relation in Step 1 to write an equation.
A + C = 180°
(4z -10)° +(10 +5z)°= 180°
Step 4: solve for z.
9z = 180 . . . . simplify, divide by °
z = 20 . . . . . . divide by 9
Step 5: use the relation between z and the measure of angle A to answer the question.
m∠A = (4z -10)° = (4·20 -10)°
m∠A = 70°
Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.
C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK
As a person travels on a Ferris wheel their height above the ground rises and falls. If you plot the height of the person above the ground on a graph, the graph will rise and fall, similar to the graph of sine or cosine. What is another situation where a real-world setting models the periodic graph of sine or cosine? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand.
Answer:
(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.
**
let t=seconds after wheel starts to rotate.
let h=meters above ground after wheel starts to rotate
..
The formula I got: h(t)=20sin(πt/18)+22
This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.
..
After 15 seconds:
h=20sin(15π/18)+22
=20sin(5π/6)+22
=20*(1/2)+22
=32 m
..
When h=38 m
38=20sin(πt/18)+22
38-22=20sin(πt/18)
20sin(πt/18)=16
sin(πt/18)=16/20=4/5=.8
arcsin(.8)=0.927
πt/18=0.927 (radians)
t=(.927*18)/π≈5.31
..
height above the ground after 15 seconds≈38 m
seconds elapsed when height is 38 m above ground≈5.3 seconds
Ricardo earned $52,000 last year. He just received a 3% salary increase. What is his new yearly salary?
=======================================================
Explanation:
Having the salary increase by 3% means we can use the multiplier 1.03
Think of it like 100% + 3% = 1 + 0.03 = 1.03
The new salary is 52,000*1.03 = 53,560 dollars
----------------
The slightly longer way to do this is to first figure out how much 3% of 52,000 is
3% of 52,000 = 0.03*52,000 = 1560
Ricardo earns $1560 more dollars on top of the salary of $52,000
So overall his new salary is $1,560 + $52,000 = $53,560
----------------
Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.
5. A car travels 40 kilometers at an average speed of 80 km/h and then travels 40
kilometers at an average speed of 40 km/h. The average speed of the car for this 80 km
trip is:
A) 40 km/h
B) 45 km/h
48 km/h
D) 53 km/h
E) 80 km/h
Answer:
D
Step-by-step explanation:
Total distance traveled is 80KM.
Total time taken is 1.5 hrs(0.5+1)
Average Speed = 80/1.5
=53, 3
Simplify the expression.
4(11 + 7) ÷ (7 – 5)
Answer:
36
Step-by-step explanation:
4(11 + 7) ÷ (7 – 5)
4 * 18 ÷ 2
=36
Can anyone help me please ????
Hey there! The topic for this problem is Limit of Function!
As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.
[tex] \large \boxed{lim_{x \longrightarrow a} f(x)}[/tex]
We call this, "The limit of f(x) when x approaches a."
Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.
So from the question, we receive:
[tex] \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}[/tex]
Next step is to substitute x = 2 in the function.
[tex] \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}[/tex]
Evaluate the value.
[tex] \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}[/tex]
Cancel the limit out and there you have it!
[tex] \large \boxed{ - 3}[/tex]
Answer
The limit of quadratic function when x approaches 2 is -3.Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.
Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!
Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.
100 + 50
i'll date you if you answer this;)
Answer:
150
Step-by-step explanation:
100 + 50 = 150
ez
100 Brainly points!!!!
In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.
Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•
& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).
Answer:
Point A’ is at (-2,-2)
& point D' is at (4,-2)
Step-by-step explanation:
Point A’ => (-1×2, -1×2) => (-2 , -2)
Point D' => (2×2 , -1×2) => (4 , -2)
A is at (-1,-1)
So A' is at
2(-1,-1)(-2,-2)D is at
(2,-1)D' is at.
2(2,-1)(4,-2)