Answer:
[tex]\frac{m2}{n}[/tex]
Step-by-step explanation:
Answer:
Step-by-step expla The answer is M2N
The total cost of production of spare parts of computer is given as C=4000x-100x²+x³ where x is the number of units of spare parts produced so that the average cost will be maximum?
Answer: 50
Step-by-step explanation:
Ok, we have the equation:
C=4000x-100x²+x³
Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.
Then we will not have a maximum, because as x →∞, C(x) →∞.
By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).
Then let's do that:
The total cost for making x pieces is:
C(x) = 4000x-100x²+x³
Then the average cost, or the cost per piece, will be:
F(x) = C(x)/x = 4000 - 100*x + x^2
Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.
To find the minimum, we must look at the zeros of the first derivation of F(x):
F'(x) = dF(x)/dx = -100 + 2*x
The zero is when:
F'(x) = 0 = -100 + 2*x
100/2 = x
50 = x
Then the number of x that minimizes the average cost is x = 50.
Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer
Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument.
Answer:
7.2 inches
Step-by-step explanation:
Pythagorean Theorem
a
You've been given the longest side = 14 and the side of the triangle = 12,
Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.
After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.
Square root 52 and you'll get 7.2.
Your answer should be 7.2 inches.
in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.
Answer: 493,700,000
Step-by-step explanation:
What is the difference between the maximum and minimum of the quantity x2y287, where x and y are two nonnegative numbers such that x+y=6?
Answer:
27/29
Step-by-step explanation:
The equation -2y = 5x + 8 represents a line.
What are the slopes of lines that are parallel and perpendicular to the given line?
Drag the correct numbers into the boxes to complete the sentence.
Answer:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Step-by-step explanation:
Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.
-2y = 5x + 8
Divide both sides by -2
y = 5x/-2 + 8/2
y = -⁵/2x + 4
The slope of the line of this equation is -⁵/2.
Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.
Therefore:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Answer:
Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.
Step-by-step explanation:
I took the test.
What is the solution to the equation below?
1.5 (2x+ 5) +2.5 = 1.5 (-2x + 7)= 0.5
Pythagoras was born about 582 BC. Isaac Newton was born in 1643
AD. How many years apart were they born.?
Answer:
2225
Step-by-step explanation:
1643 A.D. years plus 582 B.C. years in between the births
#7 Write an equation in slope-intercept form to represent the line perpendicular to 3x + 2y = -7 passing through the point (1, 1). O y=-3x + 4 O y = -3/2x + 1/3 y = 2/3x + 1/3 O y = 3x + 1
Answer:
y = 2/3 x + 1/3
Step-by-step explanation:
First find the slope of the given line by solving for "y":
3 x + 2 y = -7
2 y = - 3 x - 7
y = - 3/2 x - 7/2
which shows a slope of "- (3/2)"
Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"
We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:
y = 2/3 x + b
1 = 2/3 (1) + b
1 - 2/3 = b
b = 1/3
Then the equation of the line is:
y = 2/3 x + 1/3
which agrees with the third answer shown in the list of options.
I NEED HELP PLEASE HELP ME
Answer:
Step-by-step explanation:
the rock has changed color due to weathering.
just by looking at it, you cant tell for sure making it an inference.
Answer:
4. the rock has changed colour due to weathering
Step-by-step explanation:
the rock's colour has changed as a result of interference
Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides
Answer:
320 calories
Step-by-step explanation:
Ratios.
let's say calories= c
grams = g
160c:40g
? :80g
So if you look at the grams, you see an increase by *2.
so the get: ?
you need to multiply 160 by 2.
Complete the table of values for this equation:
y = 5x +20
Enter your answer by filling in the boxes.
x y
2
3
4
Answer:
X y
2 30
3 35
4 40
Step-by-step explanation:
Putting the value of x in equation u will get the value of y
The required table of values given that y = 5x + 20 will be given as
x y
2 30
3 35
4 40
Given the linear equation y =5x + 20
In order to fill the table, we will have to calculate the y-values for the corresponding x values given.
If x = 2
y = 5(2) + 20
y = 10 + 20
y = 30
If x = 3
y = 5(3) + 20
y = 15 + 20
y = 35
If x = 4
y = 5(4) + 20
y = 20 + 20
y = 40
Hence the required table of values will be given as
x y
2 30
3 35
4 40
learn more here: https://brainly.com/question/19200540
Which one one of the gradient of the line shown above ?
look at the graph help me !!!
9514 1404 393
Answer:
A 3/2
Step-by-step explanation:
The graph crosses the y-axis at (0, -3) and the x-axis at (2, 0). Using the slope formula, we can find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (0 -(-3))/(2 -0)
m = 3/2 . . . . matches choice A
(6*3 Square root ÷9=
can you please help me with this question
Answer: I think it would be A
Step-by-step explanation: If you do the first equation it would equal -0.1 then if you do equation A -6.7 plus -0.1 = -6.8 plus 6.8 = 0
Answer:
A
Step-by-step explanation:
It's letter A
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
Use the figure to find the measure of
the angle. Explain your reasoning.
1. ∠4
2. ∠5
3. ∠8
4. ∠6
Answer:
1. ∠4 = 152°
2. ∠5 = 152°
3. ∠8 = 152°
4. ∠6 = 28°
Step-by-step explanation:
1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.
2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°
3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°
4. ∠6 and <8 are a linear pair. Therefore,
m∠6 + m∠8 = 180°
m∠6 = 180° - m∠8
m∠6 = 180° - 152°
m∠6 = 28°
PLEASE HELP!
x=3 is a factor of x^3+3x^2-7x+19.
A. Never
B. Always
C. Sometimes
Answer:
I think it is
C. Sometimes
57.8 divided by 81, estimate quotient
Answer:
0.71358024691 But really you can say .7
4.) What is the area of this shape?
Answer:
212
Step-by-step explanation:
What are the coordinates of its image, J'K'L, if this
triangle is dilated by a factor of 5 with respect to the
origin?
J'(2,7),K (8,7), and L'(5, 1)
O J'(-5, 2), K (5,2), and L'(0, -5)
J'(-3, 2), K (8, 2), and L'(0, -9)
J'(-15, 10), K (15, 10), and L'(0, -20)
Its the last one. I just took the quiz on edge.
Step-by-step explanation: The scale factor is 5. You mutiply 5 with the coordinates. J is (-3,2) so multiply 5 and -3 which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)
Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the common difference d the general term Tn and the sum of the first n terms. Answer must
be in terms of q and z.
(b) Hence, find the sum of the first 10 terms in terms of q and z.
Answer:
[tex]d = q(z-1)[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Step-by-step explanation:
Given
[tex]T_1 = q[/tex]
[tex]T_2 = qz[/tex]
Solving (a1): The common difference (d)
d is calculated as
[tex]d = T_2 - T_1[/tex]
This gives:
[tex]d = qz - q[/tex]
Factorize:
[tex]d = q(z-1)[/tex]
Solving (a2): Sum of n terms
This is calculated using:
[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]
Substitute values for T1 and d
[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]
[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]
Factorize:
[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
Solving (b): Sum of first 10.
In this case, n = 10
So:
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
becomes
[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]
[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9z-9)[/tex]
[tex]S_{10} = 5q(2 -9+ 9z)[/tex]
[tex]S_{10} = 5q(-7+ 9z)[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Recall:
The common difference (d) of an arithmetic sequence = difference between the next term and the previous termSum of n terms, [tex]S_n[/tex] of arithmetic sequence = [tex]\frac{n}{2}[2a + (n - 1)d][/tex]Given:
First term, [tex]T_1 = q[/tex] (this is also "a")Second term, [tex]\\\\T_2 = qz[/tex]a. Common difference (d) = [tex]T_2 - T_1[/tex]
Substitute[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]
Sum of n terms:
[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]
Substitute by plugging in the value of d and a[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. Sum of the first 10 terms:
Substitute n = 10 into [tex]S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)][/tex][tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]
Simplify[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]
Add like terms[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Learn more here:
https://brainly.com/question/14311840
Which inequality is represented by this graph?
5+
(0,1)
(3,0)
A. ys-3x+1
B. y>-*x+1
C. 72-3x+1
D. y< -1x+1
The inequality is represented by the given graph is y ≤ -x/3+1.
The correct option is B.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
We have,
A graph of an inequality, passing by (0, 1) and (3, 0).
A and D are eliminated since the line is solid.
C is disregarded because the line is shaded below as well.
Then, the inequality will be y ≤ -x/3+1
Hence, the inequality is represented by the given graph is y ≤ -x/3+1.
Learn more about inequality here:
brainly.com/question/30231190
#SPJ7
2/3-×+3/×+3=6x/x2-9
hi there! if you're asking us to simplify this equation, here is my answer for you...
Answer:
x = 2.09716754…
hope this helped. have a good one!
Which property justifies drew first step ?
A.commutative property of multiplication
B.associative property of addition
C. subtraction property of equality
D. distributive property of multiplication over addition
Y’ALL PLEASE HELP ME ON MY TEST PLEASE I’VE BEEN STRUGGLING TO UNDERSTAND THE CLASSES AND MY TEACHER WONT EVEN EXPLAIN ANYTHING JUST SAY “I don’t know what you want me to do.” LIKE EXPLAIN PLEASE. SOMEONE PLEASE JUST HELP ME ON MY TEST
Answer:
1. 4320
2. 248
3. -180
4. 1/8
The points A (-3, -2), B (-3, 3) and C (5, 3) are 3 points.
What type of triangle is ABC?
Answer:
It's a right angle triangle
Step-by-step explanation:
The arctic tern flies from the Arctic to the Antarctic and back every year, a total distance of 22,000 miles! In late summer, the terns start their migration south, and it takes about 3 months to go the 11,000 miles. What is the average velocity, in miles per day, that these birds travel?
Answer:
The birds travel at an average velocity of 122.2 miles per day
Step-by-step explanation:
The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.
The average speed is the ratio between the total distance traveled by the time they took to travel.
Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.
The average velocity is
[tex]\displaystyle v=\frac{11,000}{90}=122.2[/tex]
v=122.2 miles/day
The birds travel at an average velocity of 122.2 miles per day
Answer:
The artic tern flies 11000 miles about 3 months at an average velocity of 122.222 miles per day.
Step-by-step explanation:
hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.
Answer:
Okay, so what is the question?
Answer:
Tornado: clouds, strong wind, rain, hail.
Hurricane or cyclone: strong wind, heavy rain.
Blizzard: heavy snow, ice, cold temperatures.
Dust storm: strong winds, arid conditions.
Flood: heavy rainfall.
Hail storm: cold or warm temperatures, rain, ice.
Ice storm: freezing rain.Step-by-step explanation:
josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour
Answer:
3 miles per hour
Step-by-step explanation:
3 times 5 is 15 15 divided by 4 is 3
Josie's speed will be 15/4 miles per hour.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Josie walks 3/4 miles in 1/5 hour.
Now,
The distance = 3/4 miles
The time = 1/5 hour
Since, We know that;
Speed = Distance / Time
Substitute all the values, we get;
Speed = 3/4 miles / 1/5 hour
= 3 x 5 / 4
= 15/4 miles per hour
Thus, Josie's speed will be 15/4 miles per hour.
Learn more about the speed visit:
https://brainly.com/question/3004254
#SPJ2