Complete the equation that represents the proportional relationship shown in the table.
Enter your answer in the box.
y =
x y
2 8
3 12
7 28
Answer:
The x side is multiplying four each time to get the y side example 2x4=8 and so on
The equation would be x x 4= y
So hope this helps
The equation that represents the proportional relationship from the table is y=4x.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table is
x y
2 8
3 12
7 28
Here, we can see when x increases y value also increases.
So, x and y are directly varies
Now, y∝x
y=kx -----(i)
k=y/x
k=8/2
k=4
Substitute k=4 in equation (i), we get
y=4x
Therefore, the equation that represents the proportional relationship from the table is y=4x.
To learn more about the proportional relationship visit:
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Given vectors
ā=(-1,-2), b=(-2,3), C = 3,-1),d =(-3,2)
find the dot product of b and c.
3
0-3
09
0-9
Answer:
-9
Step-by-step explanation:
b={-2,3)
c=(3,-1)
dot product b.c
=(-2×3) + (3×-1)
=-6+(-3)
=-6-3
=-9
20 POINTS!!!
If A varies directly as B and inversely as C and when A = 6, B = 10 and C = 15. Calculate C when A = 92 and B= 107
Answer:
C = [tex]\frac{963}{92}[/tex]
Step-by-step explanation:
given A varies directly as B and inversely as C then the equation relating them is
A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation
to find k use the condition A = 6 , B = 10 , C = 15 , then
6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )
90 = 10k ( divide both sides by 10 )
9 = k
A = [tex]\frac{9B}{C}[/tex] ← equation of variation
when A = 92 and B = 107 , then
92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )
92C = 963 ( divide both sides by 92 )
C = [tex]\frac{963}{92}[/tex]
Answer:
C = 963/92
Step-by-step explanation:
Given :
A ∝ BA ∝ 1/CFinding the constant of variation, k
A = kB/C6 = k(10)/(15) [Given in 1st part of question]6 = 2k/3 2k = 18k = 9Finding C
Using the same equation, and new values of A and B, we can find CA = kB/CC = kB/AC = 9 x 107 / 92C = 963/92Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
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[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]
In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:
[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
In the second integral, integrate by parts:
[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
It follows that
[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)
Answer:
[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].
Step-by-step explanation:
Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - (-1/2) = 3\, (x - 2)[/tex].
Simplify to obtain:
[tex]y + (1/2) = 3\, (x - 2)[/tex].
One of the construction workers likes to listen to music on the job. Unfortunately, he
also has a bad habit of accidentally dropping his music player into the ravine! Luckily,
his daughter is good with physics and has built a safety balloon for his latest music
player that will release after the music player has been falling for 1 second.
The time it takes for the music player to fall from the bridge to the bottom of the
ravine can be modeled by the following equation:
1-
81 +24
16
where tis the amount of time since the construction worker dropped his music
player
Will the safety balloon release in time?
6. First, how long will it take for the music player to fall to the bottom of the ravine?
Solve the equation and find the values of t. (2 points: 1 point for each value)
The equation of the ravine function is an illustration of a quadratic function
It will take 1.5 seconds for the music player to fall to the bottom of the ravine
How to determine the time the music player will fall to the bottom?The equation of the function is given as:
[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]
Take the square of both sides
t² = (8t + 24)/16
Multiply both sides by 16
16t² = 8t + 24
Divide through by 8
2t² = t + 3
Set the equation to 0
2t² - t - 3 = 0
Expand the equation
2t² + 2t- 3t - 3 = 0
Factorize the equation to 0
2t(t + 1)- 3(t + 1) = 0
Factor out t + 1
(2t- 3)(t + 1) = 0
Expand
2t- 3 = 0 or t + 1 = 0
Solve for t
t= 1.5 or t =- 1
Time cannot be negative.
So, we have:
t = 1.5
Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine
Read more about quadratic functions at:
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Question 1 of 10
Is the graph a linear function, nonlinear function, or relation?
AY
O A. Nonlinear function
OB. Relation
C. Linear function
PREVIOUS
Answer:
A. Nonlinear function
Step-by-step explanation:
It is not a linear function because :-
You cannot write an equation because change in y-value for every x-value is not consistentIt cannot be relation as there is no correlation between the x and y values in the graphIt is a nonlinear functionI need help ASAP, first one to get it correct gets 100 points.
Answer:
3D shape = cone
height = 3 units
diameter = 6 units
Step-by-step explanation:
3D shape = cone
height = 5 - 2 = 3 units
radius = 0 - (-3) = 3 units
diameter = 2 × radius = 2 × 3 = 6 units
Help me the question 1 in my picture
Answer:
Number 1 is b
I found the answer on a website
Answer quickly please !!
Answer: 65 degrees
Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.
Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.
By using the Vertical Angle Theorem, we can say
--> x = 65
Definition of Vertical Angle Theorem: states that the opposite (vertical) angles of two intersecting lines are congruent.
A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.
Answer:52.7
Step-by-step explanation:
1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128
2)Then we input everything into the law of cosines
A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.
please show the work thank you
Answer:
Solve the following equation
Step-by-step explanation:
You need to make an equation of this
Let x be the number of computers made
1600 × x = (950 × x) + 211250
When both sides are equal, that is the break even
Which pair of functions are inverses of each other?
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.
Therefore, the correct choice is ~
D. The system is inconsistent because it has no solution.
4² - 5² × 2³ what is the value of the expression.
[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]
[tex]16 - 25 \times 8[/tex]
[tex]16 - 200[/tex]
[tex] - 184[/tex]
Hello!
Let's evaluate this expression.
4²-5²×2³
4²=16
16-5²×2³
5²=25
16-25×2³
2³=8
16-25×8
According to PEMDAS, the next operation is multiplication (M)
16-200
Subtract:
-184
Hence, the simplified expression is equal to
[tex]\boxed{\boxed{\bold{-184}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
What is a polygonal curve
Answer: It is a connected series of line segments such as the image shown below.
Hope this helps!
The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft, find it’s area
Answer:
Area of rectangle is 63 feet²Step-by-step explanation:
Given:
The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ftTo Find:
Area of the rectangle.Solution:
Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:
Using formula:
Perimeter of rectangle = 2(L + B)→ 32 = 2(x + 2 + x)
→ 32 = 2(2x + 2)
→ 32 = 4x + 4
→ 32 - 4 = 4x
→ 28 = 4x
→ 28/4 = x
→ 7 = x
Hence,
Length of the rectangle = 2 + x = 9 feetWidth of the rectangle = x = 7 feet.Now,
→ Area of rectangle = Length × Width
→ Area fo rectangle = 9 × 7
→ Area of rectangle = 63 feet²
Hence, Area of the rectangle is 63 feet²Answer:
63 sq.ft⠀
Step-by-step explanation:
⠀
As it is given that, the length of a rectangle is 2ft longer than it’s width and perimeter of the rectangle is 32 ft.⠀
So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .
⠀
Now,
⠀
[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]
⠀
Therefore width of the rectangle is 7 ft .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]
⠀
Now, we are to find the area of the rectangle :
⠀
[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]
⠀
Therefore,
The area of the rectangle is 63 ft².⠀
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.Solve on [0,2pi). Answer in order from smallest to biggest
cos x sin x = sin x
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
The questionnnnnnnnn
Answer:
C
Step-by-step explanation:
C because 25% + 10% = 35% and 10% + 25% is also 35%
The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?
Answer:
176cm
400 times
Step-by-step explanation:
The square of a difference of numbers is the different of their squares?
Always true
Sometimes true
Never true
Answer:
Sometimes true
Step-by-step explanation:
This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.
For every other number combo this is untrue.
-
In the diagram below, UV is parallel to RS. If UT = 4, TS = 9.6, and TV = 6,
find the length of RT. Figures are not necessarily drawn to scale.
Check the picture below.
A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x
Answer:
x= 3.95
Step-by-step explanation:
Hypotenuse = 9 cm
side = (x+5) cm
other side = (x-3) cm
Pythagoras theorem: Hypotenuse² = Base² + Base²
9² = (x+5)² + (x-3)²
81 = x² + 25 + 10x + x² + 9 - 6x
2x² + 4x - 47 = 0
Quadratic Formula
x = (-b±√b²-4ac) / 2a
x = (-4±√16+376) / 2(2)
x = (3.95 and -5.95)
We ignore the negative -5.95
So x = 3.95
What is the value if X? and how to find exterior angles.
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle measure
Answer:
6. ∠GHJ ≅ ∠GIJ = 73°
10. ∠Q = 89°, ∠R = 123°, ∠S = 91°
Step-by-step explanation:
The relations applicable to these problems are ...
the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.
__
6.The missing arc measure GJ is ...
68° +31° +115° +GJ = 360°
GJ = 360° -214° = 146°
Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...
∠GHJ ≅ ∠GIJ = 146°/2 = 73°
__
8.∠Q intercepts arc PSR, which is shown as ...
arc PSR = arc PS +arc SR
arc PSR = 137° +41° = 178°
The measure of angle Q is half this:
∠Q = (1/2)×arc PSR = 178°/2 = 89°
__
∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:
∠R = 180° -57° = 123°
__
∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:
∠S = 180° -89° = 91°
What is the first term of the arithmetic series?
a1 =
143
⇒ 8
What is the 20th term of the arithmetic series?
a20 =
⇒ 46
How many stitches are in the first 20 rows of the shawl?
⇒ 540 stitches
I don't think this is wrong