The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.
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It takes 96 pounds of seed to plant a 10 acre field how many acres can be planted per pound of seed
Answer:
9.6 lbs per acre
Step-by-step explanation:
96lbs for 10acres
96 divided by 10= 9.6 lbs per acre.
Trevor packed 22.5 pounds of potatoes into several bags. If there are 2.5 pounds of potatoes in each bag, how many
bags did he pack?
Answer:
9
Step-by-step explanation:
22.5÷2.5=9 this is how you solve it
Whats the correct answer answer asap for brainlist
What is the domain of the function on the graph
Answer:
Domain [-3 , ∞ ]Step-by-step explanation:
Domain is the set of all inputs for which the given function is defined.
graphically it represents the shadow of the graph taken on the x axis from above and below the x axis
Here is the shadow will be formed from -3 till +∞, hence we have our domain as [-3 , ∞ ]
giving brainliest to first correct answer
Which of the relations given by the following sets of ordered pairs is a function? {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)} {(0,3),(−6,8),(−3,5),(0,−3),(7,11)} {(2,4),(2,6),(2,8),(2,10),(2,12)} {(8,1),(−4,1),(3,5),(0,4),(−1,2)}
The relations from the following sets of ordered pairs which is a function is; {(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Which of the relations given by the following sets of ordered pairs is a function?It follows from the definition of a function that a function from an array of X-values to a set Y-values assigns only one Y-value to each X-value.
Hence, it follows from the definition above that the relation; {(8,1),(−4,1),(3,5),(0,4),(−1,2)} is that which is a function.
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I ate 8/15 of the total amount of soup, then 140 ml of it remained in the bowl. how many milliliters of soup were there in the bowl originally?
Teams of players entered a beach volleyball tournament. How many players can there be if each team has exactly 6 players?
The answer depends on how many total teams there are. The team players always end up with multiple of 6: 6, 12, 18 24... etc.
Hope it helps!
MATH: FINDING HALF LIFE PT 2..HELP!
The half life of the radioactive Rutherford-265 is;
13.1 hours.
What is the half-life of the radioactive Rutherford-265?It follows from the task content that the given function represents the decay function of the radioactive material. Since half-life corresponds to the point at which only half of the starting material remains, hence we have;
(1/2) = e ^(-0.053t)
By taking the natural log of both sides, we have;
-0.6931 = -0.053t
Hence, t = -0.6931/ -0.053 = 13.1 hours.
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Find the missing angle in the diagram.
Help asap (Ty!)
If Mia works for 9 hours daily for 5 days in a week at a pay rate of $20.50per hour. Based on 8 hours a day rule what will be her gross income for that week?
Answer:
just multiply 20.50 by 8 and how many days she work in a week
please solve for both parts
(a) The differential equation
[tex]y' + \dfrac14 y = 3 + 2 \cos(2x)[/tex]
is linear, so we can use the integrating factor method. We have I.F.
[tex]\mu = \displaystyle \exp\left(\int \frac{dx}4\right) = e^{x/4}[/tex]
so that multiplying both sides by [tex]\mu[/tex] gives
[tex]e^{x/4} y' + \dfrac14 e^{x/4} y = 3e^{x/4} + 2 e^{x/4} \cos(2x)[/tex]
[tex]\left(e^{x/4} y\right)' = 3e^{x/4} + 2 e^{x/4} \cos(2x)[/tex]
Integrate both sides. (Integrate by parts twice on the right side; I'll omit the details.)
[tex]e^{x/4} y = 12 e^{x/4} + \dfrac8{65} e^{x/4} (8\sin(2x) + \cos(2x)) + C[/tex]
Solve for [tex]y[/tex].
[tex]y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) + Ce^{-x/4}[/tex]
Given that [tex]y(0)=0[/tex], we find
[tex]0 = 12 + \dfrac8{65} (\sin(0) + \cos(0)) + Ce^0 \implies C = -\dfrac{788}{65}[/tex]
and the particular solution to the initial value problem is
[tex]\boxed{y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}}[/tex]
As [tex]x[/tex] gets large, the exponential term will converge to 0. We have
[tex]\sin(2x) + \cos(2x) = \sqrt2 \sin\left(2x + \dfrac\pi4\right)[/tex]
which means the trigonometric terms will oscillate between [tex]\pm\sqrt2[/tex]. So overall, the solution will oscillate between [tex]12\pm\sqrt2[/tex] for large [tex]x[/tex].
(b) We want the smallest [tex]x[/tex] such that [tex]y=12[/tex], i.e.
[tex]0 = \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}[/tex]
[tex]\dfrac{788}{65} e^{-x/4} = \dfrac{8\sqrt2}{65} \sin\left(2x + \dfrac\pi4\right)[/tex]
[tex]\dfrac{197}{\sqrt2} e^{-x/4} = \sin\left(2x + \dfrac\pi4\right)[/tex]
Using a calculator, the smallest solution seems to be around [tex]\boxed{x\approx21.909}[/tex]
Using the following information about the family’s assets and liabilities, calculate the debt ratio:
Based on the various assets and liabilities that the family has, the debt ratio can be calculated to be D. 54.1%.
How is the debt ratio calculated?the debt ratio can be found as:
= Total debt / Total assets
Solving:
= (5,500 + 210,000 + 180,000+ 25,000) / (3,000 + 13,000 + 320,000 + 25,000 + 15,000 + 64,000 + 39,000)
= 258,500 / 479,000
= 54.1%
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suppose that 18 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 55 cents?
Answer:
11 inches
Step-by-step explanation:
90 divided by 18 is 5 so each inch is worth 5 cents so 55 cents would give you 11 inches of wire because 55/5 is 11
The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side is 3/4 of the sum of the lengths of the first two sides. Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet.
Answer:
7 feet, 3 feet, 7.5 feetStep-by-step explanation:
Let the sides be a, b and c.
GivenThe length of one side of a triangle is 2 feet less than three times the length of its second side
a = 3b - 2The length of the third side is 3/4 of the sum of the lengths of the first two sides:
c = (3/4)(a + b)The perimeter of the triangle is 17.5 feet:
a + b + c = 17.5SolutionSubstitute a with b in the second equation:
c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5Now substitute a and c with b in the third equation and solve for b:
a + b + c = 17.53b - 2 + b + 3b - 1.5 = 17.57b - 3.5 = 17.57b = 17.5 + 3.57b = 21b = 3Find the value of a:
a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7Find the value of c:
c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5The sides of the triangle are:
a = 7 feet, b = 3 feet, c = 7.5 feetfind the domain and range of the exponential function h(x) = 125x. explain your findings. as x decreases, does h increase or decrease? explain. as x increases, does h increase or decrease? explain.
We have an exponential growth. The domain is the set of all real numbers and the range is R: (0, ∞).
What can we say about the exponential function?Here we have the exponential function:
[tex]h(x) = 125^x[/tex]
Notice that the base, 125, is larger than 1, which means that we have an exponential growth.
So, as x increases, also does h(x).As x decreases, also does h(x).Now, the domain of any exponential equation is the set of all real numbers.
For the range, as x tends to negative infinity, the function will tend to zero.
And as x tends to infinity, h(x) also tends to infinity.
So the range is R: (0, ∞).
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Zarko and Manchu are two ctas that like to catch fish in the pond in their backyard. Zarko can catch 5 fish evry hour, while manchu can catch 2 fish every half an hour. How long did it take them to catch 27 fish in all,
It takes 3 hours for the cats to catch 27 fish in the pond.
How long did it take them to catch 27 fish in all?Zarko can catch 5 fish per hour.
Manchu can catch 2 fish every 0.5 of an hour, so in an hour, the cat would catch 2 times that, which is 4 fish.
When working together, the cats can catch 4 + 5 = 9 fish per hour
If the cats work for x hours, then they catch 9*x fish.
To get the time that takes them to catch 27 fish we just need to solve the linear equation:
9x = 27
Solving for x:
x = 27/9 = 3
It takes 3 hours for the cats to catch 27 fish in the pond.
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Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A. x = -9
B. X=-6
C. y=-9
D. y=-4
Answer:
B. x = -6
Step-by-step explanation:
Use a graphing calculator such as desmos and enter each equation, you'll find the only one that falls on (-6, -9) and is perpendicular is B.
Answer:
B. x = -6
Step-by-step explanation:
Can l please have some help
Answer:
62 cm^2
Step-by-step explanation:
Surface area of a rectangular prism is the area of each of the 6 faces added up. And area is length x width. There are three unique sets of sides, since each has another identical area opposite from it.
2(5 x 2) + 2(2 x 3) + 2(5 x 3)
2(10) + 2(6) + 2(15)
20 + 12 + 30
62 cm^2
Answer:
62 cm²Step-by-step explanation:
SA=2lw+2lh+2hw
2 * 2 * 3 + 2 * 2 * 5 + 2 * 3 * 5 =
62 cm²
if 75 percent is 66 pounds what is the full cost
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1300 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
20 gallons of gas was consumed by the car that has efficiency of 20 miles per gallon and 30 gallons of gas was consumed by the car that has efficiency of 30 miles per gallon .
How to find the consumption of gallons using equation?The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas.
Therefore,
let
x = number of gallons for car that consume 20 miles per gallon of gas
y = number of gallons for car that consume 30 miles per gallon of gas
Hence,
x + y = 50
20x + 30y = 1300
20x + 20y = 1000
20x + 30y = 1300
10y = 300
y = 300 / 10
y = 30
Therefore,
x = 50 - 30
x = 20
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Select the correct answer. Absolute value functions coordinate plane parabola graphs. Parabola passes through points at (minus 2, 0), (minus 1.5, minus 2.5), (0, 5), (1, 0), (1.5, 2.5) and (2, 0) Which of the given functions could this graph represent? A. B. C. D.
The equation of parabola passing through coordinates A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0) is y = -2.5(2x+4)², and the graph is attached.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
The coordinates of the point of parabola A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0).
Calculate the equation of parabola by the formula given below,
[tex]y=a(x-h)^2+k[/tex]
Here (h, k) are the coordinates,
Put A (-2,0)
y = a[x- (-2)] ² + 0
y = a(2x + 4)²
Put B (-1.5,-2.5)
y = a[x- (-1.5)]² + (-2.5)
y = a(x + 1.5)² - 2.5
y = 2ax + 3a -2.5
Solve the above equation
a = -2.5
Thus, the equation of the parabola is,
y = -2.5(2x+4)²
Therefore, the equation of parabola passing through coordinates A (-2,0), B (-1.5,-2.5), C (0,5), D (1, 0), E (1.5, 2.5), and F (2, 0) is y = -2.5(2x+4)², and the graph is attached.
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pls solve...I will mark as BRAINLIST........
Answer:
Step-by-step explanation:
Several students made comments about this image.
D
Which comment is true?
56:
"If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the othe
two angles."
"If I know the measure of C, I can find the measure of angle A because they are the same."
"If I know the measures of angles C and B, I can find the measures of A and D."
"If I know the measure of angle A, I can find the measure of angle D by subtracting from 180."
Answer:
"If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other
two angles."
Step-by-step explanation:
i did it
(-2, 1), (-1, 4), (0, 4), (1, 6), (2, 7)
find domain and range
Answer:
(-2,-1,0,1,2)
(1,4,6,7)
Jared has one pizza that has 12 slices. He wants to share his pizza with his two brothers. How many slices will each boy have if they each have an equal amount?
Answer:
4 slices for all the brothers
Step-by-step explanation:
Helpme with this math
The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
What is volume?Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:
LitersOunceCubic metersBased on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
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Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount.
Explain how you would find the amount of money Maria now makes per hour.
A spring supporting a mass of 30 kg compresses 0.6 m. how far does the spring compress when it supports a mass of 10 kg? 0.1 m 0.2 m 1.2 m 1.8 m
The spring .2m far when it is compressed on being supported by a mass of 10kg.
Given: Mass of 30 kg which compresses spring by 0.6m
To find: The compression of the spring when it is supported by a mass of 10 kg
Concept: Compression springs are coiled springs that hold mechanical energy in a compressed state. When these springs are subjected to compressive loads, they compress and shorten, capturing and storing significant potential force.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
By using unitary method,
10 is 3 times less than 30.
so, 30/3=10
Also applying the same proportion over the lengths compressed,
we get, 0.6/3=.2
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X
What is the volume of the following rectangular prism?
Volume
Area of base×Height9/5×2/33/5×26/5units³1 1/5units³Volume
Ah9/5×2/36/5units³1-1/5 units ³