Answers
The relation that describes the graph {(-1, 3), (-2, 1), (-3, -3), (-4, -5)}
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The coordinates of given graph:
(-1, 3)(-2, 1)(-3, -3)(-4, 5)Hence, the relation is {(-1, 3), (-2, 1), (-3, -3), (-4, 5)}.
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Related Questions
Two trains, Train A and Train B, weigh a total of 526 tons. Train A is heavier than Train B. The difference of their weights is 466 tons. What is the weight of each train?
Answers
Answer:
Train A = 466
Train B = 60
Step-by-step explanation:
Last month David and Mary saved some money in a ratio of 3:5. This month they saved an additional $154 together, and David now has three times as much money as he had last month and Mary has two times as much as she had last month. How much money did they save last month?
Answers
Answer:
David: $42Mary: $70Step-by-step explanation:
The two relations can be translated to a system of linear equations in two variables. These can be solved in any of the usual ways.
__
setupLet d and m represent the amounts David and Mary saved last month, respectively.
The first relation tells us
d/m = 3/5 ⇒ 5d = 3m ⇒ 5d -3m = 0
The second relation tells us that adding 3 times what David had last month to 2 times what Mary had last month will give a total that is 154 greater than the sum of their funds last month.
d +m + 154 = 3d +2m ⇒ 2d +m = 154
__
solutionWe can add 3 times the second equation to the first to eliminate m.
(5d -3m) +3(2d +m) = (0) +3(154)
11d = 462 . . . . . . . . simplify
d = 42 . . . . . . . . . divide by 11
Using the second equation, we can find Mary's savings:
m = 154 -2d
m = 154 -2(420 = 70
David saved $42 last month; Mary saved $70.
the spec sheet for the actual 1968 corvette shows the front frame dimension to be 32.875 inches. what would this measurement be, in both fractional and decimal form, on the hot wheels 1:64 model? which form of the measurement would be easier to work with?
Answers
Answer:
0.513671875 = 263/512 inches
easier to use: depends on the measurement tool
Step-by-step explanation:
The model dimension is found by multiplying the actual dimension by the scale factor.
__
model dimensionmodel frame dimension = actual frame dimension × 1/64
= (32.875 inches)/64 = 0.513671875 inches
In fractional form, this is ...
(32 7/8) / 64 = (263/8) / 64 = 263/512 . . . inches
__
ease of useIt is unlikely that a casual hobbyist will have access to tools that measure with a resolution finer than 0.0001 inches. More common would be a measurement resolution of 0.001 inches. Using such tools, the rounded decimal value 0.5137 or 0.514 inches would be more useful than the fractional measurement.
It is possible that an optical measuring device could be available that would present its result as a fraction of an inch. If such a tool were used, the fractional measurement value would provide an appropriate point of comparison.
In short, the measurement easiest to work with depends on the tool being used to make the measurement.
State your conclusion in the form of a theorem, and then prove the theorem using a two-column proof. When you write the proof, refer to the diagram you created in part A. It will be helpful to use point labels to state what is given and what you have to prove and to use those labels throughout the proof.
As part of the proof, you’ll have to construct a line segment connecting the top intersection point on one of the transversals with the lowest intersection point of the other transversal, thus forming two triangles. Take a screenshot of the construction, save it, and insert the image in the space below before you begin your written proof.
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The midpoint theorem simply states that the line segment that joins the two sides of the triangle is parallel to the third side.
How to illustrate the theorem?Your information is incomplete. Therefore, an overview of the theorem will be given. It should be noted that the midpoint theorem states that the line drawn through the mid point of one side of the triangle is parallel to another side.
To find the midpoint, one can measure the distance between the two end points and divide the results by 2.
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What is the volume of the rectangular prism?
A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
16 in.3
22 and one-half in.3
200 in.3
212 and one-half in.3
Answers
Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 200 in³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the rectangular prism of the length of 8 inches, the width of 2 inches, and the height of 12 1/2 inches can be written as,
The volume of the rectangular prism = 8in × 2in × 12.5in
= 200 in³
Hence, The volume of the rectangular prism is 200 in³.
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40 POINTS!!
Which statement matches the vector operation shown on the coordinate grid?
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The statement that matches the vector operation shown on the coordinate grid is v + w = u.
How to add two vectors graphically?In order to add two vectors a and b graphically by using the tail and tip method, we must draw the tail of b at the tip of vector a.
Then we must draw a line that goes from the tail of vector a to the tip of vector b.
This line represents the sum of a + b.
In the given problem, we notice that the tail of the vector w is on the tip of the vector v.
The line that joins the tail of vector v with the tip of vector w is vector u.
Therefore we can say that v + w = u
The statement that matches the vector operation shown on the coordinate grid is v + w = u.
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if1(2) at the level 20= 0.94770 and 1(2) at the level 21= 096020 find the required level of mortality for the estimated value of 1(2)* =0.95656.
Answers
Answer:
Step-by-step explanation
Sorry but your answer is a fake question which I can't answer
congruent figures someone please help
Answers
You plan to build a house that is 1 ½ times as long as it is wide. You want the land around the house to be 20 feet wider than the width of the house, and twice as long as the length of the house, as shown at the right.
Answers
The total area with land based on the information given is 3x² + 60x.
How to find the area?Let the width = x
Let the length = (1.5 × x) = 1.5x
Area = 1.5x × x = 1.5x²
The area along with land:
Width = x + 20
Length = 3 × x = 3x
The total area with land:
= Length × Width
= 3x(x + 20)
= 3x² + 60x.
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Find the volume of the right circular cone with radius 6 cm, height 7 cm
[tex]( \pi = \frac{22}{7} )[/tex]
Answers
Answer:
Volume = 264 cm³Step-by-step explanation:
Formula:
Let b be the base (circle) of the cone
and h be the height of the cone
[tex]\text{volume of the cone} =\frac{1}{3} \times b\times h[/tex]
……………………………………………
→ b = π × r²
= π × 6²
= (22÷7) × 36
= 113.142857142857 cm²
→ h = 7
[tex]\text{volume of the cone} =\frac{1}{3} \times b\times h[/tex]
The volume = (1÷3)×(113,142857142857)×(7)
= 264 cm³
===================
METHOD 2 :
Volume = (1÷3)×(22÷7)×36×7
= (1÷3)×22×36
= 22×12
= 264
Michael and Zach are hiking in the mountains. They left Michael’s car in the parking lot and walked northwest for 12.4 km to a campsite. Then they turned due south and walked another 7.0 km to a glacier lake. The weather was taking a turn for the worse, so they decided to plot a course directly back to the parking lot. Zach remembered, from the map in the parking lot, that the angle between the path to the campsite and the path to the glacier lake measures about 30°. What compass direction should they follow to return directly to the parking lot?
Answers
Answer:
about 101°
Step-by-step explanation:
The bearing back to the parking lot is the reverse of the bearing from the parking lot to the lake. That bearing can be found two ways. One of them uses the bearing and distance of each leg of the hike. The other uses what Zach remembers about the map.
__
sum of vectorsThe location of the lake from the parking lot can be found by adding the vectors to the campsite from the lot and to the lake from the campsite. That sum will be ...
12.4∠315° +7.0∠180° ≈ 8.94∠281.4°
A suitable calculator can be used to find this sum, as shown in the second attachment. (Angles are displayed by the calculator in the range (-180°, 180°].)
__
The direction of the parking lot from the lake will be the opposite direction. It can be found by subtracting 180° from the angle:
bearing to parking lot = 281.4° -180° = 101.4°
Michael and Zack should follow a compass direction of about 101°.
__
map memoryNorthwest is a compass bearing of 315°. Points south of that bearing will have a smaller angle. Zach remembers the direction of the lake to be about 30° less than that angle, so at 315° -30° = 285°.
The bearing back to the parking lot is the opposite direction, so ...
285° -180° = 105°
Based on Zack's memory, they should follow a compass direction of about 105°.
They will come within about 560 meters of the parking lot using this heading.
_____
Additional comments
When doing these vector calculations by hand, a couple of different methods can be used. One is to convert the vectors to component form, add the components, then convert back to polar form. The other is to make use of the Law of Cosines and the Law of Sines to solve the relevant triangles.
Here, the lake-lot distance is the third side of a triangle with two sides and the included angle known. The Law of Cosines applied to this situation is ...
c² = a² +b² -2ab·cos(C) . . . . . generic Law of Cosines equation
c² = 12.4² +7.0² -2(12.4)(7.0)cos(45°) ≈ 80.0063
c ≈ √80.0063 ≈ 8.9446
Using the Law of Sines, we find the obtuse angle of the triangle to be ...
sin(L)/12.4 = sin(C)/8.9446 . . . . . L and C are vertex angles in the diagram
L = 180° -arcsin(12.4/8.9446×sin(45°)) ≈ 101.4°
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If translation to rectangular coordinates is used, this can be done using the usual translation ...
(x, y) = (r·cos(θ), r·sin(θ)) . . . . rectangular coordinates for r∠θ
The value of θ used can be the bearing angle (measured clockwise from north), or it can be the corresponding Cartesian plane angle (measured counterclockwise from +x). As long as the angles are consistently measured, the math works either way.
__
We have assumed that "northwest" is a bearing of 315°. If the compass rose is divided into 32 segments, the name "northwest" will be given to any bearing within 5° of this value. This makes our detailed vector calculations be somewhat approximate, and means that Zach's memory of the required bearing may be sufficiently accurate after all. Or not.
nth term formula? maths quickly
Answers
[tex]\text{Nth term of an arithmetic series} = a +(n-1)d \\\\\text{Nth term of an geometric series}= ar^{n-1}\\\\\text{where,}\\\\\text{a = first term.}\\\\\text{d = common difference.}\\\\\text{r = common ratio.}[/tex]
Type the correct answer in the box. Rewrite the quadratic function in the form that best reveals the zeros of the function. f(x)=2(2x2+4x)+3
Answers
Try this suggested option:
Step-by-step explanation:
f(x)=2(2x²+4x)+3; ⇔
f(x)=4(x²+2x)+3; ⇔
f(x)=4(x²+2x+1)+3-4; ⇔
f(x)=4(x+1)²-1; ⇔
f(x)=(2x+1)(2x+3).
Then the roots are:
[tex]\left[\begin{array}{ccc}x=-1.5\\x=-0.5\end{array}.[/tex]
he triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1). Which shows the triangle when it is translated two units down? On a coordinate plane, triangle A prime B prime C prime has points (0, negative 1), (0, negative 3), (2, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (0, 1), (negative 2, negative 1), (0, negative 1). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 1).
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If these coordinates are translated two units down, we will subtract 2 units from the y axis to have A(2, -1), B(0, -3) and C(2, -3)
Translation of coordinate pointTranslation is a transformation technique of changing the position of an object on the xy-plane.
Given the following coordinate of a triangle expressed as:
A(2, 1)
B(0, -1)
C(2, -1)
If these coordinates are translated two units down, we will subtract 2 units from the y axis to have:
A(2, -1)
B(0, -3)
C(2, -3)
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Reese, Greg, and Brad meet once a week for coffee. They each have their favorite café and, to be fair, they use
randomization to choose where they will meet. Each person has a colored marble: red (R) for Reese, green (G) for
Greg, and blue (B) for Brad. Each week, all three marbles are mixed well in a bag and a marble is selected. The
favorite café of the person associated with the selected marble is chosen for that week's meeting. Which of the
following represents the sample space for choosing a café for the first two weeks?
OR & G, R & B, G & R, G & B, B &R, B & G
OR&R, R&G, R & B, G & G, G & B, B & B
R&R, R&G, R & B, G & R, G & G, G & B, B &R, B&G, B & B
R&R, R&G, R & B, R & G, G&R, G & G, G & B, B &R, B & G, B & B
OO
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All the samples are given as {R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}.
What are sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
Reese, Greg, and Brad meet once a week for coffee.
They each have their favorite café and, to be fair, they use randomization to choose where they will meet.
Each person has a colored marble: red (R) for Reese, green (G) for Greg, and blue (B) for Brad.
Each week, all three marbles are mixed well in a bag and a marble is selected.
The favorite café of the person associated with the selected marble is selected for that week's meeting.
Then the total number of the outcomes will be
Total outcomes = 3 × 3
Total outcomes = 9
All the samples are given below.
{R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}
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What is the volume of the solid
Answers
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year?
Answers
Based on the AFN equation, the AFN for the coming year will be -$16000.
How to calculate the AFN?Last year's sales =$200,000
Sales growth rate = g = 40%
Forecasted sales = S0 × (1 + ) = 280,000
∆S = change in sales = S1 − S0 = $80,000
Last year's total assets = A*0 = A*0 since full capacity $135,000
Forecasted total assets = A*1 = A*0 × (1 + g) = $189,000
Last year's accounts payable = $50,000
Last year's accruals= $20,000
L*0 = payables + accruals = $70,000
Profit margin = M = 20.0%
Target payout ratio = 25.0%
Retention ratio = (1 − Payout) = 75.0%
AFN = (A*0/S0)ΔS – (L*0/S0)ΔS – Margin × S1 × (1 − Payout)
AFN = $54,000 – $28,000 – $42,000
= -$16,000
The complete question goes thus:
Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below.
Last year's sales = $200,000
Sales growth rate = 40%
Last year's accounts payable = $50,000
Last year's notes payable = $15,000
Last year's accruals = $20,000
Based on the AFN equation, what is the AFN for the coming year?
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HELP ILL GIVE BRAINLIEST!
Solve 2u² = 90, where u is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
u=
Answers
Answer:
I think maybe u=6.71 but I'm not sure. wait for another answer
What is the domain of the piecewise function?
A. x<0, x>4
B. -∞ 4
C. all real numbers
Answers
Answer:
C. All real numbers
Find the area of the sector
Answers
Answer:
10:
7/4π = 5.5(1decimql place)
11:
50π = 157.1(1 decimal place)
Step-by-step explanation:
the equation is (angle/360) X πr^2
At 3:40 P.M, the hour hand and the minute hand of a clock form an angle of:
Answers
Answer:
130 degrees
Step-by-step explanation:
3:40, it has traveled 6 * 40 = 240 degrees which is 110 degrees from vertical The difference is 240 - 110 = 130 degrees, which is the final answer.
Hope This Helped
I took the test!
How to find x=?
How to solve step by step
Answers
Answer:
230 degrees
Step-by-step explanation:
draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x
vertex of y = −2(x−4)2 + 3
and identify it as a minimum or a maximum.
Answers
An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).
Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
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please help meeeee will mark them brain
from biggest to smallest
Answers
0.83 (5/6), 0.77 (7/9), 0.75 (3/4), 0.66 (2/3), 0.583 (7/12), 0.5 (1/2).
What is the value of x? 2 3 6 7
Answers
Answer:
6
Step-by-step explanation:
Answer:
2 or A
Step-by-step explanation:
Correct on edge22
an isosceles triangle has two 5.5 cm sides and two 32.4 angles. find the area and primeter of this triangle.
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The area and perimeter 10.7625 sq. cm and 11.5536 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
let us construct perpendicular bisector.
Using trigonometry
cos [tex]\theta[/tex]= B/H
cos 32.4 = x / 5.5
5.5 cos 32.4 =x
We will consider the third side 2x.
So, 2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
= 11 + 0.5536
= 11.5536 cm
Area= 1/2* 5*5* sin 115.2
= 12.5 * 0.861
= 10.7625 sq. cm
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Given Segment AC with point B contained on the segment, as shown below.
Write a complete two-column proof for following information:
Given: Segment AB = x + 16, Segment BC = 4x + 11
Segment AC = 77
Prove: AB = 26
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It is true that the line segment AB equals 26
How to prove that line segment AB = 26?The given parameters are:
AB = x +16
BC = 4x + 11
AC = 77
The two-column proof is as follows:
AC = AB + BC Line segment formula
77 = x + 16 + 4x + 11 Substitution property of equation
77 = 5x + 27 Addition property of equation
5x = 50 Subtraction property of equation
x = 10 Division property of equation
AB = 10 +16 Substitution property of equation
AB = 26
Hence, the line segment AB has been proved to equal 26
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Find the missing side of this right
triangle.
X
28
[?]
X =1
Enter the number that belongs in the green box.
Answers
Applying the Pythagorean theorem, the missing side of the right triangle is: √788.
What is the Pythagorean Theorem?To find the hypotenuse (c) of a right triangle, having two other legs a and b, the Pythagorean theorem states that, c = √(a² + b²).
Given the following:
c = xa = 2b = 28Plug in the values
x = √(2² + 28²)
x = √788
Missing side is: √788.
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Calculate the area of the alarm clock.
Answers
Given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².
What is the area of the alarm clock?Note that: Area of a circle is expressed as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Given that;
Diameter d = 70cm Radius r = d/2 = 70cm/2 = 35cmArea = ?A = πr²
A = 3.14 × ( 35cm )²
A = 3.14 × 1225cm²
A = 3846.5cm²
Therefore, given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².
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which formula represents this sequence
Answers
Answer:
pretty sure its b
Step-by-step explanation:
Answer:
a
Step-by-step explanation: