The given relation is not function, because 15 is repeating twice. In domain 15 is with 8 and 2.
What is a Function in math ?Function is a mathematical phrase, rule, or law that establishes the connection between two variables. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.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 codomain, respectively.Most frequently, the letters f, g, and h are used to represent functions. The value of a function f at an element x in its domain is represented by the symbol f. (x)The collection of all pairings (x, f (x)), also known as the function graph, serves as the sole representation of a function.To learn more about Function refer :
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7. Which of these numbers is even?
3716
2345
2223
Answer:
they all are odd numbers
Step-by-step explanation:
trick question they all are odd numbers, unless you can divide or subtract the numbers
Answer:3716
Step-by-step explanation: any number landing in an even number is even
A veterinary technician recorded the weights of 12 puppies. Of these 12 puppies, 3 weighed over 6 pounds. What percentage of the puppies weighed over 6 pounds?
A: 3
B: 9
C: 15
D: 25
Show your work!
The percentage value of puppies weighing over 6 pounds is 25%
What is Percentage?
Percentage is a relative number that represents the hundredth part of any quantity. One percent (symbolised 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.
Solution:
Given that there are 12 puppies in total and 3 of them weighted above 6 pounds
To calculate the percentage we need to divide 3 by 12 and then multiply it by 100
= (3/12) * 100
= 25%
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Given f (x) = 4x.
Write the equation for the function r (2) in general form if r (x) = f(x) + 4.5
r(x) =
The equation for the function r (2) in general form is r(2) = 12.5.
Given:
f (x) = 4x
r (x) = f(x) + 4.5
substitute f(x) in r(x)
r(x) = f(x) + 4.5
r(x) = 4x + 4.5
r(2) means x = 2
r(2) = 4*2 + 4.5
r(2) = 8 + 4.5
r(2) = 12.5
Therefore The equation for the function r (2) in general form is r(2) = 12.5.
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The sampling distribution of the sample mean will always have the same _________ as the original distribution.
The sampling distribution of the sample mean will always have the same Mean as the original distribution.
Sampling distribution:
Sampling distribution means a probability distribution of a statistic that is obtained through repeated sampling of a specific population.
Given,
Here we have the statement "The sampling distribution of the sample mean will always have the same _________ as the original distribution."
Now, we have to find the missing word in the statement.
We know that, the mean of the sampling distribution of the sample mean will always be the same as the mean of the original non-normal distribution. Simply said that the sample mean is equal to the population mean.
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Look at the time on the clock below. Select all of the ways to write this time.
A clock shows the hour hand between 6 and 7 and the minute hand at 10.
A.
10 minutes before 7
B.
40 minutes after 6
C.
6:40
D.
50 minutes after 6
E.
6:50
If a clock shows the hour hand between 6 and 7 and the minute hand at 10. It means : D.50 minutes after 6, E. 6:50
How to find the time?Each of the section time of an analog clock is 5 minutes. Since the hour hand is between 6 and 7 and the minute hand is on 10 , it implies that :
5 minutes × 10 minutes
= 50 minutes after 6
Or
6: 50minutes
Therefore the correct option is D and E.
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Being a spender has many more positives than being a saver.
False
True
Per finance
Answer:
False
A saver has much more positives. It means you'll have more money in your future :)
Part D
All of the machines are kept cool by circulating cold water through them. The water makes 1 complete cycle through a 30 foot long tube every 12 seconds. Correctly complete the statement about the distance traveled by the water in 3 minutes and number of complete cycles the water makes in 3 minutes.
Fill in the blanks to complete the sentence.
The water travels ______ feet and completes _______ cycles in 3 minutes.
Correctly complete the statement about the distance traveled by the water in 3 minutes and number of complete cycles the water makes in 3 minutes.
The water travels 450 feet and completes 15 cycles in 3 minutes.
Define distance.
A measurement of how far apart two objects or points are can be quantitative or occasionally qualitative is called distance. In mathematics, distance refers to the length that separates two points on a line or line segment. The fact that distance is a scalar quantity means that it is independent of an object's motion. Metre is the SI unit of distance.
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What is the value of f(x1) when f(x) = 2x + 2?
Enter your answer in the box:
F(-1) = [____]
The value of f(-1) when f(x) is defined as given in the question is 0.
What is the substitution method?
One method for solving simultaneously linear equations using algebra is the substitution method. It involves changing the value of any one of the variables in one equation & applying it to another one.
Given, f(x) = 2x + 2 ......... (i)
Now, we need to find the value of f(-1), by substituting the value of x = -1 in above equation (i), then
f(-1) = 2*(-1) + 2 = -2+2 = 0
Hence, the required answer of f(-1) is 0.
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someone please help!
The answer to the question is 5.
The calculation can be calculated as follows :
3√125
= 3√(5 x 5 x 5)
= 5
We can write 125 as 5 x 5 x 5.
Or 5 power 3.
The value of the cube root of 125 is 5.
It is the real solution of the equation x3 = 125.
The number 125 is called a perfect cube number since its cube root value is a whole number.
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use a graphical method to solve
a. {x+2y=4
{3x+6y=6
b. {3x-y =5
{6x-2y=10
As we can conclude from the graphical method that this system has no common intersection point they have no solution.
What is the graphical solution of system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given system of equations are x + 2y = 4, 3x + 6y = 6, 3x - y = 5 and
6x - 2y = 10.
The graphical representation of these equations are attached in the image below.
As we can observe , 3x - y = 5(green line) and 6x - 2y = 10(purple line) are coinciding with each other so they have infinite no. of solutions.
x + 2y = 4(red) and 3x + 6y = 6(blue) are parallel to each other and hence have no solution.
And in together all these 4 lines have no common intersection point so they have no solution.
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Use the properties of operations to multiply the expressions. 2x(5 - 0.4x)
The multiplied form of the Algebraic expression is 10x -0.8[tex]x^{2}[/tex]
What is an Algebraic expression?An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.
These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable
2x( 5 - 0.4x)
we multiply each term in the bracket by 2x
2x x 5 - 2x x 0.4x = 10x - 0.8[tex]x^{2}[/tex]
In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8[tex]x^{2}[/tex]
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Please help will mark brainiest!!!
how do i simplify four fifths times a times eight ninths times a.
HELP ASAP PLEASEEEEEEEEEEEEE
Four fifth times and eight ninth times would be simplified as 32/45.
What is a fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
To simplify four-fifth times and eight-ninth times, we have to use the fractions,
Simplifying, we get
[tex]=\frac{4}{5}* \frac{8}{9}\\\\=\frac{4*8}{5*9}\\\\\=\frac{32}{45}[/tex]
Hene, four fifth times and eight ninth times would be simplified as 32/45.
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The velocity-time graph for a cycle is shown.
Velocity (m/s)
10
8
6
4
2
0
0
2
4
6
8
10
12
14
16
18
20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
a) The distance travelled on the cycle in the first 14 seconds is; 96 m
b) The acceleration in the first 4 seconds is; 2 m/s²
How to Interpret the Velocity Time Graph?
The velocity time graph for a cycle is as attached.
The distance covered will be the area under the curve.
Formula for area of trapezium is;
A = (1/2)(sum of parallel sides) * height
Area for 0 to 14 sec is a trapezium formed with parallel sides as 14 and 10 while distance between them is 8 is solved as;
Area = (1/2)(14 + 10) * 8
Area = 24 * 4 = 96
Thus;
Distance covered = 96 m
Distance travelled on the cycle in the first 14 seconds is 96 m.
Therefore, the acceleration in first 4 seconds = (8 - 0)/(4 - 0)
= 8/4 = 2 m/s²
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timber tracks the food she eats and how many miles she runs each week. this is an example of .
Tracking the food Timber eats and how many miles she runs each week is an example of Self-Supervision.
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plese help this is urgent
The measurement of m∠1 and m∠3 is 52° when a is parallel to b.
According to the question,
We have the following information:
The line a is parallel to b and they are being cut a line m.
m∠6 = 128°
We know that when two parallel lines are cut by another line then the sum of consecutive interior angles is 180°. And we also know that vertically opposite angles are equal.
m∠1 and m∠3 are vertically opposite angles.
m∠3 and m∠6 are consecutive interior angles.
∠3+∠6 = 180°
∠3 = 180-128
∠3 = 52°
So, we have:
∠1 = ∠3 = 52°
Hence, the measurement of m∠1 and m∠3 is 52° when a is parallel to b.
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Write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
To write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1.
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So if we have a slope of 1 or 1/1. our perpendicular line needs a slope of -1.
y - y1 = m(x - x1)
slope(m) = -1
(1,-5)...x1 = 1 and y1 = -5
now we sub...pay close attention to your signs
y - (-5) = -1(x - 1)....not done yet
y + 5 = -1(x - 1)...or it can also be written as : y + 5 = - (x - 1)
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Felipe has 8 boxes.
He puts a total of 80 kilograms of fruit into these boxes.
If every box gets the same amount, what is the mass of fruit in each box?
As per the dividing system, If every box gets the same amount, then the mass of fruit in each box is 10 kilograms.
Division
Division refers a process of splitting a specific amount into equal parts.
Given,
Felipe has 8 boxes.
He puts a total of 80 kilograms of fruit into these boxes.
Here we need to find the mass of fruit in each box, if every box gets the same amount.
While we looking into the given question, we have identify the following this,
Number of boxes = 8
Total weight of fruits = 80 kilograms.
And we also know that, each box must has same amount of weight.
Therefore, it can be calculated as, by dividing the total weight by the number of boxes, then we get,
=> 80/8
=> 10
Therefore, each box has 10 kilograms of fruits.
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suppose a sample of a certain substance decayed to 77.8% of its original amount after 300 days. (round your answers to two decimal places.) (a) what is the half-life (in days) of this substance? days (b) how long would it take the sample to decay to one-third of its original amount?
The half life of the substance is 828.37
What is Half life?The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. An individual radioactive isotope's half-life is unaffected by environmental factors and is independent of the isotope's starting concentration.
The amount of time needed for half of a radioactive sample's atomic nuclei to decay
Given:
As, The amount of a substance after t days is given by:
p(t)= [tex]p(0)[/tex][tex]e^{-kt[/tex]
Original amount after 300 days.
p(300)= 0.778p(0).
p(t)= [tex]p(0)[/tex][tex]e^{-kt[/tex]
0.778 = p(0)[tex]e^{-300k[/tex]
-300k= log (0.778)
-300k= -0.109020
k = 0.0003634
So, p(t)= [tex]p(0)[/tex][tex]e^{-0.0003634t[/tex]
This is t for which P(t) = 0.5P(0). So
0.5p(0)= [tex]p(0)[/tex][tex]e^{-0.0003634t[/tex]
[tex]e^{-0.0003634t[/tex] = 0.5
log ( [tex]e^{-0.0003634t[/tex]) = log 0.5
-0.0003634 t = log 0.5
t= -0.30102999566/ -0.0003634
t= 828.37
Hence, the half life of the substance is 828.37
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it's I'd b yes so ya hope you do great
Step-by-step explanation:
we have a dataset of ages of 100 kids born in some neighborhood. we calculate its mean and standard deviation, we denote them by m1 and s1, respectively. 3 years later, all of those kids are still alive and included in the dataset. using the new values for their age, we calculate the mean and standard deviation of the ages, denoted by m1 and s2. which is true?
The option B is true which is m2=m1+3, s2=s1
From the given information,
The required correct answers are,
m2= m1 + 3
s2= s1
Hence,
Option b. is correct.
A standard deviation (or σ) is a proportion of how distributed the information is comparable to the mean. A low standard deviation implies information is grouped around the mean, and an elevated requirement deviation demonstrates information is more fanned out.
The standard deviation of a population or sample and the standard error of measurement (e.g., of the example mean) is very unique however related. The example implies the standard error is the standard deviation of the arrangement of implies that would be found by drawing an endless number of samples from the population and registering a mean for each sample. The mean standard error ends up equaling the population standard deviation partitioned by the square base of the example size and is assessed by utilizing the example standard deviation separated by the square foundation of the sample size.
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8+3x<14………………………………..
Answer:
x<2
Step-by-step explanation:
8+3x<14
3x<6
3x/3<6/3
x<2
How much interest does a $775 investment earn at 1.47% over eight years?
The interest on principle $775 over eight year at rate 1.47% is $91.14
What is Simple Interest?Simple interest is a interest which is only based on principle amount, it does not imply on yearly interest.
The given principle, p = $775 ,
Rate r = 1.47 %,
and Time = 8 year.
To find interest I, Use formula,
I=(p × r × t)/100,
I=775 ×1.47 ×8/100,
I = $91.14
So the interest is I = $91.14
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find the mean of the following numbers: 7, 12, 2, 17, 3, 13, 7, 4, 9, 7, 9
You catch 3 fish that weigh a total of 12.05 pounds. About how much does each fish weigh?
3 pounds
2 pounds
6 pounds
4 pounds
Answer:
4 pounds
Step-by-step explanation:
12/3=4 remember it says about!
Please help, I'm having trouble understanding.
Answer:
y = x-5
Step-by-step explanation:
-x + y = - 5
y = - 5 + x
y = x - 5
The line y = mx + 6 passes through the point ( 1, 3). find m.
Answer:
m = - 3
Step-by-step explanation:
since the line passes through (1, 3 ) then the coordinates of the point make the equation true.
substitute x = 1, y = 3 into the equation and solve for m
3 = m + 6 ( subtract 6 from both sides )
- 3 = m
5 Mr. Roberts has 12
papayas,
23 star fruits and 15
mangos. What is the ratio of
mangos to the total number of
pieces of fruit ?
Answer:
3:10 ratio of mangos to rest of the fruits or 15:50 unsimplified
Step-by-step explanation:
There are 50 fruits in total with 15 of them being mangos. Simplify this (divide by both numbers by 5) to get 3:10
kate bakes 20-inch by 18-inch pan of cornbread. the cornbread is cut into pieces that measure inches by inches. how many pieces of cornbread does the pan contain?
Kate bakes 20-inch by 18-inch pan of cornbread and divide it into 2 in x 2 in pieces. The number of pieces is 90.
The problem can be solved using associative property in multiplication and division. That is the factors can re-group and it will not change the product.
The given problem can be translated into an algebraic expression:
(20 x 18) : (2 x 2)
Let
length of cornbread pan = 20
wide of cornbread pan = 18
To cut the cornbread 2 inches by 2 inches means we divide the length by 2 inches and the wide by 2 inches. Hence, the algebraic expression can be re-group into:
(20 x 18) : (2 x 2) = (20 : 2) x (18 : 2)
= 10 x 9 = 90
Hence, the pan contains 90 pieces of cornbread.
Complete question:
Kate bakes 20-inch by 18-inch pan of cornbread. the cornbread is cut into pieces that measure 2 inches by 2 inches. how many pieces of cornbread does the pan contain?
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In this figure, AB¯¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯¯ and m∠2 = 61°.
What is m∠6?
Answer:
m∠6 = 61°
Step-by-step explanation:
Given a transversal crossing parallel lines AB and CD, you want the measure of angle 6 given that angle 2 is 61°.
Angles at a transversalWhere a transversal crosses parallel lines, corresponding angles and vertical angles are congruent. This has the effect of making all acute angles congruent, and all obtuse angles congruent.
Acute angle 6 is congruent to acute angle 2, which measures 61°. (They are "corresponding" angles.)
m∠6 = 61°
