5) <OSL
Vertical pair angles are equal angles formed by intersecting lines
6) <MSN (or <LOS)
Supplementary angles are angles that add up to 180 degrees
a study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
The response variable in this study is
Yield of crop.
"Information available from the question"
In the question:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
Now, According to the question:
Let's know:
What is called fertilizer?
A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
The answer is:
Yield of crop.
Learn more about Fertilizer at:
https://brainly.com/question/891813
#SPJ4
The complete question is this:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is
The volume of the cube is claimed to be 27 inches, correct to within 0.027 in3. Use differentials to estimate the propagated error in the measurement of the side of the cube.
The propagated error in the measurement of the side of the cube is 0.001.
We know that,
the volume of a cube is dependent on the length of the edge, s, which is given by the equation,
V = [tex]s^{3}[/tex].
With this we determine that the given cube has an edge of 27 = [tex]s^{3}[/tex]
⇒ s = 3 inches.
Now we can acquire the differential of the equation for the volume of the cube with the following equations.
V = [tex]s^{3}[/tex]
dV = d([tex]s^{3}[/tex])
dV = 3[tex]s^{2}[/tex] ds
We have given that volume of the cube is 0.027.
That is dV = 0.027 and s = 3
we simply plug in the given and then solve for ds to determine the error in the measurement of the edge of the cube.
dV = 3[tex]s^{2}[/tex] ds
0.027 = 3(3)²ds
0.027 = 27ds
0.001 = ds
Therefore, there is an error in measurement of the edge of the cube up to 0.001 inches.
To know more about volume here
https://brainly.com/question/29318472
#SPJ4
Given the following Venn diagram:
Find M N.
From the given Venn diagram, the value of M∩N={4,7}.
What is a Venn diagram?A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.
Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.
The intersection of two sets is the set of all the elements that are shared by both.
M={4,7,9,3}
N={4,7,6}
Because M and N share the numbers 4 and 7, M∩N={4,7}.
To know more about Venn diagram, visit:
https://brainly.com/question/29301560
#SPJ9
jasmine is 5 years younger than twice her sister age of jasmine sister 22 year old then how old is jasmine
Answer:
100000000000000000000000000
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think the answer is 12
Make x the subject of m=n+x/p
Answer:
x=mp-n
Step-by-step explanation:
Switch sides:
(n+x)/p=m
Then multiply both sides by p:
n+x=mp
Move n to the other side:
x=mp-n
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x)=1.2²-600x+82,738. What is the minimum unit cost?
Do not round your answer.
The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
What is meant by unit cost?A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.
A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.
Given,
C(x)=1.2x²-600x+82,738
Minimum value [tex]C_{min}[/tex]=c-(b²/4a)
Where a=1.2, b=-600, c=82738
[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))
=82738-(360000/4.8)
=7738
Therefore, the minimum unit cost is 7738.
Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
To know more about variable cost, visit:
https://brainly.com/question/15358722
#SPJ1
due now pls help mee!!!!!!
Answer:
(-2,-4)
Step-by-step explanation:
3x+2=-2x-8
+2x. +2x
5x+2=-8
-2. -2
5x=-10
/5. /5
x= -2
y=3(-2)+2
y=-6+2
y= -4
(-2,-4)
Hopes this helps please mark brainliest
please help!! easy question but cant seem to figure out
Viv and Ian were trying to describe parts of the expression 5(x+7)
Viv said, "The entire expression is the product of 3 factors."
Ian said, "On its own, (x+7) sum with 2 terms."
The expression 5(x + 7) has a sum of two terms 5x and 35.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, an expression 5(x + 7).
Now distributing 5 to x and 7 we get 5x + 35.
So, The expression 5(x + 7) has the sum of two terms.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
solve the system of equations using any method
3x-3= y
6x-5y=12
(please i need help im begging you)
Answer:
(1/3, - 2)-------------------------------
Given system3x - 3 = y6x - 5y = 12Solve by substitution6x - 5(3x - 3) = 126x - 15x + 15 = 12- 9x = 12 - 15- 9x = - 3x = - 3 / - 9x = 1/3Find y:
y = 3 * 1/3 - 3y = 1 - 3y = - 27(x-1)=3x+2 in a improper fraction
Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good
Step-by-step explanation:
7(x-1)=3x+2
Distribute through the parentheses
7x-7=3x+2
Move the variable to the left-hand side and change its sign
7x-7-3x=2
or Move the constant to the right-hand side and change its sign
7x-7-3x=2
Collect like terms
4x=2+7
And then Add the numbers
4x=9
Divide both sides of the equation by 4
x=9/4
Mixed number is 2 1/4
Michael swam 2,000 yards on each of eighteen days.
The scatterplot above shows his swim time for and
corresponding heart rate after each swim. The line of
best fit for the data is also shown. For the swim that
took 34 minutes, Michael's actual heart rate was
about how many beats per minutes less than the rate
predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4
Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B
What is a scatterplot?A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.
On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.
From the graph the actual heart rate=150
but calculated heart rate from best fit line=148
Difference between actual and calculated=150−148=2
Option B is correct.
Learn more about scatterplot on:
https://brainly.com/question/6592115
#SPJ1
a penny is thrown from the top of a 52.6-meter building and hits the ground 3.31 seconds after it was thrown. the penny reached its maximum height above the ground 0.85 seconds after it was thrown. define a quadratic function, h , that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
The quadratic function which models the motion of the penny is
h(t) = -4.9t² -0.327761 t + 52.6
and the maximum height reached is 57.43
h(t) = - 0.5gt² + vt + h
g = 9.8 m/s²
h = 52.6 m
v = ?
For v,
h(t) = -0.5gt² + vt + 52.6
h(t) = - 4.9t² + vt + 52.6
Time when penny hits the ground ; t = 3.31
h(3.31) = 0
0 = -4.9(3.31)² + v(3.31) + 52.6
0 = -53.68489 + 3.31v +52.6
3.31v = -1.08489
v = -1.08489/3.31
v = -0.327761 m/s
Therefore,
h(t) = -4.9t² -0.327761 t + 52.6
2.) Maximum height of the penny above the ground
t = 0.85 seconds
h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6
Maximum height reached = 57.43 meters
Therefore, the maximum height reached is 57.43 meters.
An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.
To learn more about motions
https://brainly.com/question/18980389
#SPJ4
Without dividing explain whether the quotient of 9/10 ÷ 3 is greater than or less than the quotient of 9/10 ÷ 2.
Answer:
less than
Step-by-step explanation:
when you divide by a bigger number the smaller the quotient will be
Hopes this helps please mark brainliest
Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the amount he owned on resent retal.
The expression that can be use to represent the amount owned on rental is 0.1x + 25y
How to find the expression that represent the amount?Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven.
The expression that can be use to represent the amount owned on rental can be represented as follows:
let
x = number of miles driven
y = number of days
Let's convert cent to dollars
100 cents = 1 dollars
10 cents = ?
cross multiply
amount in dollars = 10 / 100 = 0.1 dollars
Therefore,
the expression = 0.1x + 25y
learn more on expression here: https://brainly.com/question/798881
#SPJ1
What is the domain of the function
f(x) = 2x + 3
when the range is {3, 5, 9}?
Answer:
Domain: {9, 13, 21}
Step-by-step explanation:
BRAINLIEST PLEASE!!!Answer:
(0,1,3)Step-by-step explanation:
f(x)=2x+3let y= f(x)y=2x+3interchanging x and y in the expression x=2y+3making y the subject in the equation y=(x-3)/2f(x)-¹=(x-3)/2when x= 3 =(3-3)/2 =0when x=5 =(5-3)/2 = 1when x= 9 =(9-3)/2 = 3in your own words, explain why the speedup of a parallel algorithm will eventually reach some limit.
The speedup of a parallel algorithm will eventually reach some limit.
What is parallel algorithm?
An algorithm is a set of instructions that takes input from the user and, after doing some calculations, generates an output. A parallel algorithm is one that can carry out multiple operations simultaneously on various processing units and then combines all of the separate outputs to get the desired outcome.
An algorithm that can execute several instructions concurrently on various processing devices and then aggregate all of the individual outputs to produce the final result is known as a parallel algorithm.
Because a parallel algorithm's speedup is never equal to the number of processors, it ultimately reaches a limit beyond which it can no longer be accelerated. At that point, the algorithm will no longer be accelerated and the speedup will stop.
Hence, the speedup of a parallel algorithm will eventually reach some limit.
To know more parallel algorithm, click on the link
https://brainly.com/question/19378730
#SPJ4
Find the slope of the line that contains (−5, −3) and (8, −1).
Work Shown:
[tex](x_1,y_1) = (-5,-3) \text{ and } (x_2,y_2) = (8,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - (-3)}{8 - (-5)}\\\\m = \frac{-1 + 3}{8 + 5}\\\\m = \boldsymbol{\frac{2}{13}}\\\\[/tex]
A slope of 2/13 means we go up 2 units and to the right 13 units. If starting at (-5,-3) and following this movement pattern of "up 2, right 13", then we arrive at (8,-1).
Examine the table, which represents the number of guests visiting a museum during a period of time.
If the relationship between hours and guests is proportional, what is the value of h?
Enter your answer as a number, like this: 42
Answer:
7
Step-by-step explanation:
649-531=118
We know that there are 118 more guests per hour.
Divide 826 by 118 to get 7.
Answer: 7
Step-by-step explanation:
The first line of the table is 2 and 236 if you divide 236 by 2 you get 118
Then after that you times it by any number after 5.5 until you get 826.
27. P is (-1, 3) and Q is (5, -1).
(a) Find the coordinates of the midpoint of PQ.
(b) Find the gradient of the line PQ
36 +16
(c) Given that the length of PQ-2√n units, where n is an integer, find the value of n
=
(N2013/1/19)
a) Coordinates of the midpoint: (2,1)
b) Gradient of the line PQ = -2/3
c) n = 13
What is the midpoint of a line segment?
The midpoint is defined as the point which divides the line segment into two equal halves.
Given P = (-1,3) , Q = (5,-1)
Coordinates of the midpoint are given by
X' = (X1+ X2)/2
Y' = (Y1+ Y2)/2
(X1,Y1 ) and (X2,Y2) are the endpoints of the line segment.
Putting the values in the above formula X' = (-1+5)/2 = 2
Y' = (3-1)/2 = 1
hence midpoint = (2,1)
The Slope or Gradient of the line is given by = (Y2-Y1)/X2-X1)
= (-1-3)/(5-(-1))
= -4/6 = -2/3
Gradient = -2/3
Distance between 2 points is given by the formula
[tex]\sqrt{(x_{1}-x_{2}) ^{2}+(y_{1}-y_{2}) ^{2} }[/tex]
[tex]\sqrt{(-1-5)^{2}+(3-(-1))^{2} }[/tex]
[tex]\sqrt{6^{2}+4^{2} }[/tex]
= [tex]2\sqrt{13}[/tex]
hence n = 13
to learn more about midpoint of line:
https://brainly.com/question/28609103
#SPJ9
The graphs of functions f(x) and g(x) = f(x) + k are shown: Graph of line f of x going through ordered pairs 0, 1 and 2, 6. Graph of line g of x going through ordered pairs 0, negative 1 and 2, 4. What is the value of k? a k = 2 b k = −2 c k = 1 d k = −1
Based on the graphs of functions f(x) and g(x) = f(x) + k, the value of k is: B. k = -2.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Since the graph of the line for function f(x) passes through the ordered pairs (0, 1) and (2, 6), its y-intercept is given by:
y = f(0) = 1.
Since the graph of the line for function g(x) passes through the ordered pairs (0, -1) and (2, 4), its y-intercept is given by:
y = g(0) = -1.
From the information provided above, we have the following function:
g(x) = f(x) + k
g(0) = f(0) + k
Making k the subject of formula, we have:
k = g(0) - f(0)
k = -1 - 1
k = -2.
Read more on y-intercept here: brainly.com/question/19576596
#SPJ1
what is the ratio of cups to flour to eggs
Answer:
Step-by-step explanation:
Answer= use 2 eggs per 1 cup of flour to make 1 serving.
How do I prove that the square of an odd number is always one more than a multiple of 8?
The proper way that you can prove that the square of an odd number is always one more than a multiple of eight is by using an example.
What is an example?An example is a term that refers to a tool that is intended to explain, illustrate, or prove a general statement. When we want to explain a procedure we can give an example (that we have previously chosen) to seek to clarify the understanding of a phenomenon or process.
How to make an example for this case?To prove that the square of an odd number is always a multiple of eight, the first step is to find the square of any odd number. Subsequently, we must subtract 1 from the result. Finally we must divide the previous result by 8 and it must give us an exact number (not a decimal).
3 * 3 = 9
9 - 1 = 8
8 / 8 = 1
123 * 123 = 15,129
15,129 - 1 = 15,128
15,128 / 8 = 1,891
9 * 9 = 81
81 - 1 = 80
80 / 8 = 10
Learn more about mathematical examples in: https://brainly.com/question/25829795
#SPJ1
Line l Intersects line m. Find the value of a,b, x. Give reasons
The angles in the intersected lines are as follows:
a = 80 degreesb = 80 degreesx = 92 degreesHow to find angles when lines intersect?When lines intersect angle relationships are formed such as vertically opposite angles, linear angles etc.
Angle a is vertically opposite to angle b.
Vertically opposite angles are congruent.
Therefore,
∠a ≅ ∠b
Hence,
x + 8 = 100(vertically opposite angles)
x = 100 - 8
x = 92
b + x + 8 = 180(sum of angles on a straight line)
b + 92 + 8 = 180
b = 180 - 100
b = 80 degrees.
Hence,
a = 80 degrees
learn more on angles here: https://brainly.com/question/28728884
#SPJ1
Student are going on a field trip to a play. The play i elling kid ticket and adult ticket. They old a total of 60 ticket. One kid ticket ell for $3 while the adult ticket i $5. They made a profit of $220 that day. How many kid ticket were old?
Number of kids ticket is 40
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.
Total number of tickets = 60
Cost of 1 kid ticket = $3
Cost of 1 adult ticket = $5
Total profit = $220
Let number of kid tickets = x
number of adult tickets = y
According to question:
x + y = 60 ......(1)
3x + 5y = 220 ........(2)
Substitute the value of x from eq(1) to eq(2)
3(60 - y) + 5y = 220
180 - 3y + 5y = 220
180 + 2y = 220
2y = 220 - 180
2y = 40
y = 40/2
y = 20
Substitute this value of y in eq(1)
x + 20 = 60
x = 60 - 20
x = 40
Therefore, number of kids ticket is 40
To learn more about linear equation from the given link.
https://brainly.com/question/2030026
#SPJ4
evaluate the given integral by changing to polar coordinates. sin(x2 y2) da r , where r is the region in the first quadrant between the circles with center the origin and radii 1 and 3
Using polar coordinates, the result for integral is - 0.448[tex]\pi[/tex]
What is polar co-ordinates?
In arithmetic, the polar coordinate system may be a two-dimensional organization within which every purpose on a plane is set by a distance from a indicator and an angle from a reference direction.
Main body:
The most used relation for polar coordinates is:
[tex]x^{2} +y ^{2} =r^{2}[/tex]
An integral in Cartesian coordinates is converted to polar using:
[tex]\int\int{f(x,y)} \, dA = \int\int{ f(r, \beta )d\beta[/tex]
In this problem:
f(x,y) = sin [tex]x^{2} +y^{2}[/tex]
thus
f(r,[tex]\beta[/tex]) = sin[tex]r^{2}[/tex]
Region between the circles with center at the origin and radii 1 and 3, thus the inner limits of integration are r =1 and r =3.
First quadrant, thus, the outer limits of integration are: [tex]\beta[/tex] = 0,[tex]\beta[/tex] = [tex]\pi /2[/tex].
The polar integral is:
I = [tex]\int\limits^3_1 {sinr^{2} r} \, dr[/tex]
Using substitution:
u =[tex]r^{2}[/tex] ⇒ du = 2rdr⇒ dr = du /2
I = 1/2[tex]\int\ {sin u} \, du[/tex]
= -[tex]cos r^{2[/tex] /2 where limits are 3, 1
Applying the fundamental theorem of calculus:
I = [tex]-cos 5^{2} /2[/tex][tex]-cos1^{2}/2[/tex]
I = - 0.996
Then, the outer integral is:
O =[tex]\int\limits^\pi _0 {-0.996} \, d\beta[/tex]
O= - 0.448[tex]\pi[/tex]
Hence the result for integral is - 0.448[tex]\pi[/tex]
to know more about polar co-ordinates, visit:
https://brainly.com/question/14965899
#SPJ4
From a pack of 52 card, two are drawn, one after another at random. Find the probability that the firt one i a 7 and the econd i a 6. (There are 4 7' and 4 6' in a pack)
The probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.
What is probability?
Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
It is given that there is a deck of 52 cards.
So sample space (n) = 52.
Now in the first draw, 7 numbered card should be drawn
and there are four 7 numbered cards in a deck of 52 cards
so probability of drawing a 7 numbered card will be = 4/52 = 2/26
Now in the second draw, 6 numbered cards should be drawn
and there are four 6 numbered cards in a deck of 52 cards but already one card is drawn so there will be 51 cards remaining in the deck.
so probability of drawing a 6 numbered card will be = 4/51
Hence the probability that the first card is 7 and the second card is 6 numbered will be = 2/26 * 4/51
= 0.076 * 0.078
= 0.0059
Hence, the probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.
To learn more about probability in mathematics, visit:
https://brainly.com/question/24756209
#SPJ4
I need help with 9 10 and 11
5) Simplify the expression and identify any restrictions on x.
Answer:
attached in the file
Which relation is a function?
Select all that apply.
Responses
{(2, 1), (2,3), (3, 4), (4,5)} {(2, 1), (2,3), (3, 4), (4,5)}
{(2, 1), (−2,1), (3, 2), (4,2)} {(2, 1), (−2,1), (3, 2), (4,2)}
{(−1, 2), (−2,2), (−3, 2), (−4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}
{(2, 1), (2,3), (−2, 5), (−2,7)} {(2, 1), (2,3), (−2, 5), (−2,7)}
{(2, 2), (3,3), (4, 4), (5,5)}
The relations which are functions as required to be identified in the task content are;
{(2, 1), (−2,1), (3, 2), (4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}{(2, 2), (3,3), (4, 4), (5,5)}Which relations are functions among the given answer choices?It follows from the task content that the relations which are functions among the given answer choices are to be identified.
Since the definition of a function is such that; a function is a special kind of relation in which case only one output value is assigned to each input values.
Put simply, a function has only one output value for each input value.
Therefore, it follows from the definition above that the relations which are functions among the given answer choices are as listed above.
Read more on relations and functions;
https://brainly.com/question/19191518
#SPJ1
Please answer asap! find the magnitude and direction angle of m=(-15,16) and n=(2,-6)
The magnitude and the direction angle of the vector are given as follows:
Magnitude: 27.80.Direction angle: θ = -52.3.What are the magnitude and the direction of the vector?The points that define the vector are given as follows:
m(-15, 16) and n(2,-6).
Considering m as the starting point and n as the endpoint, the vector is defined by the subtraction of the coordinates of n by the coordinates of m, hence:
v = (2 - (-15), -6 - 16) = (17, -22).
The magnitude of the vector is given by square root of the sum of the squares of the components, hence:
|v| = sqrt(17² + (-22)²) = 27.80.
The direction angle is the arc tangent of the division of the vertical component of the vector by the horizontal component of the vector, hence:
θ = arctan(-22/17)
θ = -52.3.
More can be learned about magnitude and direction angle of vectors at https://brainly.com/question/26700114
#SPJ1