NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9
Answers
Answer:
relationship: inverseequation: y = 25/xStep-by-step explanation:
You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.
__
The equation should be written so that y is a function of x:
[tex]\boxed{y=\dfrac{25}{x}}[/tex]
The x in the denominator clearly shows that y is proportional to the inverse of x.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 5
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values can be calculated by dividing 25 by the x-value.
[tex]\sf y=\dfrac{25}{x}[/tex]
Related Questions
Prepare an amortization schedule for the first three months on a loan of $87,000 at 6% for 20 years.
Answers
Answer:
see attached
Step-by-step explanation:
An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.
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The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.
The attachment shows the payment calculation and the amortization schedule for the first 5 payments.
A pet store has 11 puppies, including 5 poodles, 3 terriers, and 3 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle.
Answers
Answer: 0.2066
Step-by-step explanation:
Probability of Rebecka selecting a poodle = 5/11
Probability of Aaron selecting a poodle = 5/11
Both select one puppy at random with replacement, so their choices are independent.
Thus, probability that both select a poodle = [tex](5/11)\times(5/11)[/tex]
[tex]= 25/121 \approx 0.2066 \ $or 20.66\%[/tex]
Write an equation of the line with a slope of -3 and y -intercept of 0 .
y=
Answers
Answer:
y=-3x
Step-by-step explanation:
What is the length of a rectangle formed from the lateral surface of a cylinder?
Answers
Answer:
B. 2[tex]\pi[/tex]r
Step-by-step explanation:
There are 8 ounces in a ½ pond. How many ounces are in 7¾ lbs
Answers
7 3/4 pounds contains 124 ounces
8 ounces = 0.5 pound
X ounces = 1 pound
X = 8 / 0.5 = 16 ounces
7 3/4 = 7.75
7.75 contains = 7.75 * 16
= 124 ounces
Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
Answers
Answer:
[tex]\sf y=-\dfrac12x+2[/tex]
Step-by-step explanation:
y-intercept is when x = 0, so (0, 2)
x-intercept is when y = 0, so (4, 0)
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]
Slope-intercept form of linear equation: [tex]\sf y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given:
[tex]\sf m=-\dfrac12[/tex]b = 2[tex]\sf \implies y=-\dfrac12x+2[/tex]
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answers
So. The first one 4th one are true
Samantha and Jeanie are each rolling a fair 6-sided die with the numbers 1 through 6. They are trying to see who can roll the most
number of odd numbers. Their rolls are shown in the given tables
Whose name experimental probability is closer to the theoretical probability of rolling an odd number
A.Samantha’s
B. Both Jeanie’s and Samantha’s experimental probability’s are very close to the theoretical probability
C. Jeanie’s
D. It can not be determined because there is not enough information
Answers
There are 3 odd numbers on the die so the theoretical probably of getting odd is 3/6 = 1/2
Samantha that rolled the die 4 times and got odd every time so her experimental probability was 4/4 = 1
Jeanie rolled the die 16 times and got 6 odds for an experimental probability of 6/16 = 3/8
3/8 is closer to 1/2
Answer: C. Jeanie’s
PLEASE HELP!!!! ILL MARK BRAINLIEST WITH 10O POINTS!!!!!!! WITH EXLANATION!!
Use the diagram below to create a paragraph proof for the statement: "The sine and cosine of complementary angles are equal"
Answers
Answer:
Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.
Now, the sine and cosine
sine = opposite side/hypotenusecosine = adjacent side/hypotenuseFind the sine of ∠A and cosine of ∠B
sin A = BC/ABcos B = BC/ABSince right sides are equal, left sides are equal too
sin A = cos BSimilarly, we can show that
sin B = cos AProved
which graph represents the parabola with the equation y^2=-1/3x
Answers
Step-by-step explanation:
The graphs are not give but the graph looks like the above picture.
what is the median mean mode and range of 1,3,5,8,10?
Answers
Answer: median: 5
mode: 5.4
Range: 9
Step-by-step explanation:
Median: middle of the numbers
Mode: Add them all together and divide by number of terms
Range: Most minus least
Solve the equation for x. Assume a≠0. 4=ax−14
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \tt \dashrightarrow \:4 = ax - 14[/tex]
[tex]\qquad \tt \dashrightarrow \:ax = 4 + 14[/tex]
[tex]\qquad \tt \dashrightarrow \:ax = 18[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}[/tex]
The average mass of a grain of sand from
a certain beach is 9 × 10-8 kilograms.
What is this value in grams? Give your
answer in standard form.
Answers
Answer:
0.0009 grams
Step-by-step explanation:
The mass of the grain sand is:
[tex]9 \times {10}^{ - 8} \: Kg[/tex]
To convert kilograms to grams we divide by 1000 (1 × 10³)
[tex] \frac{9 \times {10}^{ - 8} }{1 \times {10}^{3} } [/tex]
Which gives us:
[tex]9 \times {10}^{ - 5} [/tex]
[tex]9 \times {10}^{ - 5} = 0.0009 \: g[/tex]
I need help or my grade is going to go to a f-
Answers
Answer:
1
Step-by-step explanation:
65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000
6 x 10 = 60
5 x 1 = 5
7 x 1/10 = 0.7
5 x 1/100 = 0.05
1 x 1/1000 = 0.001
60 + 5 + 0.7 + 0.05 + 0.001 = 65.751
Question 1a:
Compute the Laplace Transforms of
f(x) = { x² +2x +1 , x < 3
{ e⁻⁵ˣ , x ≥ 3
Answers
This is made easy if you know the Laplace transform pair
[tex]u(t - c) y(t - c) \mapsto e^{-cs} Y(s)[/tex]
where u(t) is the Heaviside step function and Y(s) is the Laplace transform of y(t).
We rewrite f, g, and h in terms of u :
[tex]f(x) = (x^2+2x+1) (u(x) - u(x-3)) + e^{-5x} u(x-3)[/tex]
[tex]g(x) = \sin(3x) (u(x-5) - u(x-10))[/tex]
[tex]h(x) = (u(x) - u(x-4)) + 2(u(x-4)-u(x-8)) + 3 (u(x-8)-u(x-16))[/tex]
and we also rearrange terms to get the right shift in argument:
[tex]f(x) = (x^2+2x+1) u(x) - ((x-3)^2+8(x-3)+16) u(x-3) + e^{-15} e^{-5(x-3)} u(x-3)[/tex]
[tex]g(x) = [\cos(15) \sin(3(x-5)) + \sin(15) \cos(3(x-5))] u(x-5) \\\\ ~~~~~~~~~~- [\cos(30) \sin(3(x-10)) + \sin(30) \cos(3(x-10))] u(x - 10)[/tex]
[tex]h(x) = u(x) + u(x-4) + u(x-8) - 3 u(x - 16)[/tex]
Now we can apply the known transform pair, along with
[tex]x^n \mapsto \dfrac{n!}{s^{n+1}}[/tex]
[tex]e^{ax} \mapsto \dfrac1{s-a}[/tex]
[tex]\sin(ax) \mapsto \dfrac{a}{s^2+a^2}[/tex]
[tex]\cos(ax) \mapsto \dfrac{s}{s^2+a^2}[/tex]
The transforms of f, g, and h are then
[tex]F(s) = e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-15} e^{-3s}}{s + 5} \\\\ = \boxed{e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-3(s+5)}}{s + 5}}[/tex]
[tex]G(s) = \dfrac{3\cos(15) e^{-5s}}{s^2+9} + \dfrac{s \sin(15) e^{-5s}}{s^2+9} - \dfrac{3\cos(30)e^{-10s}}{s^2+9} - \dfrac{s \sin(30) e^{-10s}}{s^2+9} \\\\ ~~~~~~~ = \dfrac{3(\cos(15)-\cos(30)) + s(\sin(15) - \sin(30))}{s^2+9} \\\\ ~~~~~~~ = \boxed{\dfrac{6\sin\left(\frac{45}2\right)\sin\left(\frac{15}2\right) - 2s \cos\left(\frac{45}2\right)\sin\left(\frac{15}2\right)}{s^2+9}}[/tex]
[tex]H(s) = \boxed{\dfrac{e^{-s} + e^{-4s} + e^{-8s} - 3 e^{-16s}}s}[/tex]
A spinner with 10 equally sized slices has 2 blue slices, 4 yellow slices, and 4 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice? Write your answer as a fraction in simplest form.
Answers
Answer:
1/5
Step-by-step explanation:
the number of all slices is 10.. and you got 2 blue ones
so you get 2/10 and if you simplify it you get 1/5
Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2
Answers
The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation
The equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
How to rewrite the absolute value equation?The equation is given as:
y = |x-3| + |x+2| - |x-5|
The condition is given as:
if -2 < x < 3
Split and solve each term of the absolute value equation.
|x-3| = -(x - 3) = 3 - x....... because x < 3
|x+2| = x + 2 because -2 < x
|x-5| = -(x - 5) = 5 - x....... because x < 5
So, we have:
y = |x-3| + |x+2| - |x-5|
This gives
y = (3 - x) + (x + 2) - (5 - x)
Open the brackets
y = 3 - x + x + 2 - 5 + x
Evaluate the like terms
y = x
Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
Read more about absolute value equations at:
https://brainly.com/question/12344256
help, I’m terrible with percentages
Bob has a 1% chance of getting a prize from a cereal box, while the other prizes have a 99% chance for him to get. How many cereal boxes does Bob have to buy in order to get the prize? Show your work.
I’m pretty sure you’re supposed to find out something like “one in a million chance!”
Answers
Answer:
99 boxes im sure
Pleasez help i have to complete this by the end of the 10 min
Answers
Answer:
Step-by-step explanation:
red shirt: 10%
green shirt: 20%
not choosing white 10%
not chosing black 20%
where orange shirt???
Please help. You get imaginary money if you help
Answers
Answer:
perimeter: 73.81 inarea: 284.955 in²Step-by-step explanation:
You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.
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PerimeterThe length of a circular arc is ...
s = rθ . . . . . where θ is the central angle in radians
s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians
s = (11 in)(3/2)(3.14) = 51.81 in
When we add the two radii to this, we get a total perimeter of ...
P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure
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AreaThe area of a sector is given by the formula ...
A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)
A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)
A = 284.955 in² . . . . area of the figure
if a sum of money increased by 1/5 of itself every year and in 5 years amounts to Rs.8546,find the sum
Answers
Answer:
Answer :
Given : If a sum of money amounts to Rs 2200 in 5 years
Let sum of money = x
And as given : The interest is 3838 of the principal . So we get
x ( 3838 ) = 2200 - x
3x = 17600 - 8x
11x = 17600
x = 1600
So, Sum of money = Rs . 1600
Then interest = 2200 - 1600 = Rs . 600
Let Rate of interest = r %
And we know Simple interest = P × r × t100P × r × t100 , So we get
⇒1600 × r × 5100 = 600⇒16× r × 5100 = 6⇒80r = 600⇒r = 60080 = 152 = 712%⇒1600 × r × 5100 = 600⇒16× r × 5100 = 6⇒80r = 600⇒r = 60080 = 152 = 712%
So
Step-by-step explanation:
Can someone help me plssss!!!
The dimensions of a right rectangular prism are shown below.
How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
show the work pls.
Answers
Answer:
a.
Step-by-step explanation:
open chormecanvis and draw little cubes on the side of the prisum, thats wahat i did
4 Alfie did a survey to find which soup was most popular.
The choices were:
tomato
c
chicken
mushroom
A quarter of the children chose chicken soup.
Four times as many children chose tomato soup as chose mushroom soup.
Alfie makes a pie chart to show this information.
What angle should he use for the children who chose tomato soup?
Answers
The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.
What angle reprsents the children that chose tomato soup?
A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees
The first step is to determine the angle that would be used for children that chose chicken soup: 1/4 x 360 = 90
Remaining angle = 360 - 90 = 250 degrees.
Angle that can be used to represent the children that chose tomato soup: 4x + x = 250
5x = 250
x = 50
50 x 4 = 200 degrees
To learn more about pie charts, please check: https://brainly.com/question/26250795
3.) Given the graph of the line represented by the equation f(x) = -3x + b,
if b is decreased by 5 units, the graph of the new line would be shifted 5 units
1) right
2) up
3) left
4)down
Answers
Answer: (4)
Step-by-step explanation:
. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answers
Answer:
We need the line plot in order to solve the questions.
Step-by-step explanation:
what is the value expression of the expression
2(x + 4) - (y•8)
when x=1/8 any y= 3/16
.A) 11/4
.B) 65/2
.C) 21/4
.D) 27/4
HELP ASAP
Answers
Answer:
D - 27/4
Step-by-step explanation:
2(1/8 + 4) - (3/16 × 8)
= 27/4
two examples of likely and unlikely events in mathematics probability
Answers
Answer:
what's likely is times or Addition less like likely is subtraction or rounding
Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.
Answers
Answer:
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
V = (3.14)(16)(12)
V = 50.24 cm³
solve this following equations. 1.x-2/5-x-4/2=2
Answers
Answer: hii
There are no values of x
that make the equation true.
Step-by-step explanation:
No solution.
hopefully this helps you.
- Matthew
Which decimal is greater: 7.09 or 7.1?
Answers
Answer: 7.1
Step-by-step explanation:
7.09<7.10
7.10=7.1
sometimes adding a zero helps