Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation:
In the relation Y is a function of X because for each input x(1,2,3 or 0) there is only one output y.
The relation that is a function is the relation (d)
Checking the relations that are functionsFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4) represent the given parameter (see attachment)
Next, we test the options
Relation (a)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (b)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (c)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (d)
This relation is a function
This is because the inputs all point to different output values
Hence, the option (d) is a relation
Read more about functions at
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#SPJ6
The value of y is directly proportional to the value of x. If y =
60 when x = 240, what is the value of y when x = 100?
Answer:
25
Step-by-step explanation:
Since y= 60 when x=240 it would be 0.25 and 0.25 x100 would be 25
10. Which values are solutions of 2x - 1 = 7? Select ALL that apply. Show
work. *
x = -4
X = -3
X = 3
x = 4
Answer:
X=4
Step-by-step explanation:
2(4)-1=7
8-1=7
7=7
Josephine is in HR and believes the population mean amount of new employee hires per year in the region is greater than 64. She would like to find evidence of this claim against the standard belief that the population mean amount of new employee hires per year is exactly 64. Josephine gathers a random sample of 56 companies from the region and calculates the sample mean amount of new employees per year to be 64.79 with a sample standard deviation of 2.77. Should the pharmacist reject or fail to reject the null hypothesis given the sample data below? H0:μ=64 versus Ha:μ>64 α=0.05 (significance level) t0=2.13 0.01
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The population mean is p = 64
The sample size is n = 56
The sample mean is [tex]\= x = 64.79[/tex]
The standard deviation is [tex]s = 2.77[/tex]
The null hypothesis is [tex]H_o : \mu = 64[/tex]
The alternative hypothesis is [tex]H_a : \mu > 64[/tex]
The test statistics [tex]t = 2.13[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]0.01 < p-value < 0.025[/tex]
Given that the [tex]p-value < \alpha[/tex] we reject the null hypothesis
Which point is collinear with points A and B?
B
R.
O R
Answer:
R
Step-by-step explanation:
collinear points lie on the same line
R is on the line joining AB
can someone answer this question plsss
Answer:
1. A.
2. B.
3. C.
4. A.
Hope this helped!
Find the outer perimeter of this figure.
Round your answer to the nearest
hundredth. Use 3.14 to approximate.
Answer:
P = 28.66 ft
Step-by-step explanation:
So perimeter of half circle
= 2π × 6/2
= 2π × 4/2
= 8π ft/2
= 4 π
Total Perimeter = 6 ft + 8π/2 ft + 10 ft +
= 6 ft + 4 π ft + 10 ft
= 28.666 ft
Total Perimeter = 28.66 ft
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Answer:
28.56
Step-by-step explanation:
The sides of the triangles are already given, so that will be 16. The diameter of the circle is given to be 8, so the radius will be half of it, 4. The circumference of a circle 2πr, so the circumference is 8π. we need to divide this by two because it is a semicircle, so the circumference of the semicircle is 4π. The answer should be 16+4π, and we can substitute in 3.14 for π to get 12.56+16=28.56
Hope this helps!
what is the correct answer to this problem?
x-3-10= -5
Answer:
ight combine like terms so you get x-13=-5 then you add 13 which gives you x=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
because 8-3-10 is equal to -5
Determine the equation of the line containing the points given in the table below.
Answer:
BTW where is the table??Help help help help
Answer:
y = 5
x = 0
Step-by-step explanation:
soo i think elimination was this:
so first lets make -x = 3x
so we multiply -3 to the whole equation
3x + 3y = 15
now we eliminate (i think this is elimination)
3x + 5y = 25
-
3x + 3y = 15
----------------------------
0 + 2y = 10
2y = 10
y = 5
now substitute to one of the original equations
3x + 5(5) = 25
3x + 25 = 25
3x = 0
x = 0
now lets check
-0 -5 = -5?
-5 = -5
Paul says that 150% of a number is the same as 100% of the number plus 50% of the number. Is he correct?
Answer:
He is correct.
Step-by-step explanation:
Which is the better buy?
3-gallon container of disinfectant for $34.56
368 fluid ounce container of disinfectant for $62.56
Answer:
so one gallon is 11.521 fluid ounce container of disinfectant for 0.17fred has thirty-two green marbles. jason has sixteen times more green marbles than Fred. how many green marbles does Fred and Jason have?
Answer:
fred has 32 and jason has 48
Step-by-step explanation:
32+16=48
what is the absolute value of -4.5
Answer:4.5
Step-by-step explanation:
Answer:
Absolute value means any value but always positive. So |-4.5|=4.5
Convert 64 quarts to gallons
Answer:
16 gallons
Step-by-step explanation:
Since 4 quarts is equal to a gallon, you should divide 64 quarts by 4 to get 16 gallons
Answer:
Containing in one gallon, there is 4 quarts.
I like to order my units preferably so I can understand better;
QUARTS 4 (x16) 64
________ = ______ = ______ so x = 16
GALLONS 1 (x16) x
ASAP 40 points picture attached
Answer:
1, 2, 5
Step-by-step explanation:
Use the order of operations to simplify
8.6 – 4.2+ io
3
Answer:
9/10
Step-by-step explanation:
8.6-4x2+3/10- multiply first 4x2=8
8.6-8+3/10 - subtract 8.6-8+.6
.6+3/10= 9/10
2k+8=0 Can someone help explain how to solves this please?
Answer:
2k + 8 = 0
2k + 8 - 8 = 0 - 8
2k = - 8
2k/2 = - 8/2
k = - 4
Step-by-step explanation:
you gotta put the 8 on the other side by subtracting and the divide both sides to get k
Answer:
k = -4
Step-by-step explanation:
2k + 8 = 0
Subtract 8 from both sides.
2k = -8
Divide both sides by 2.
k = -4
Triangle ABC has vertices A(−2,10) , B(4,8) , and C(2,4) .
What are the coordinates of A′B′C′ after triangle ABC has undergone the following transformation?
rotation 90° clockwise about the origin
Enter your answers, as ordered pairs (x, y) , in the boxes.
A′=
B′=
C′=
A'=(10,2)
B'=(8,-4)
C'=(4,-2)
To rotate a point 90° clockwise about the origin,
The new coordinates become (y,-x)
So the first one was A(-2,10)
x=-2 & y=10
The new coordinates become A'(y,-x)
So y=10 and -x=-(-2)=2
A'(10,2)
Answer:
A' =(2,4)
B'=(8,2)
C′=(6,-2)
3/4(8x + 12) = -2x + 65
Answer: x=7
Step-by-step explanation:
Two math
teachers are having a conversation as they go to lunch.
Pointing
across the street, Mr. Smith says, “That’s one of my sons sitting over there in
the park.” Mrs. Jones
asks Mr. Smith how many children he has. “My son has
as many sisters as he has brothers. Each
of his sisters has twice as many brothers as she has sisters. How
many children does Mr. Smith have?
Based on the data provided and using logical reasoning, Mr Smith has seven children, four sons and three daughters.
What is logical reasoning?Logical reasoning means using critical thinking skills to provide solutions to given problems.
The number of children Mr. Smith has can be determined by using the skill of logical reasoning.
Mr Smith has at least one son.He also has at least two daughters.Assuming that son has two brothers, then he also has two sisters.
Each sister has one sister and three brothers.
This scenario does not satisfy the conditions.
Assuming that son has three brothers, then he also has three sisters.
Each sister has two sisters and four brothers.
Therefore, Mr Smith has seven children, four sons and three daughters.
Learn more about logical reasoning at: https://brainly.com/question/14458200
Solve the inequalities for x, and match each solution to its number line graph.
Two less than of a
number (x) is no more than .
The sum of two times a number (x)
and -2 is at least 8.
Seven subtracted from 4 times a
number (x) is more than 13.
Four added to 3 times a number (x)
is less than 19.
Answer:
I hope this helps!
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST
y = sec(x) has a range of f(x) ≤ -1 and f(x) ≥ 1
Thus does not include zero in the range scale.
Extra's:
y = cos(x) has a range of -1 ≤ f(x) ≤ 1
y = cot(x) has infinity range
y = tan(x) has infinity range.
Answer:
sec x
Step-by-step explanation:
Let's set each function equal to zero to see if they have zero in their function.
If there is no solution, then we no solution of zero.
[tex] \cos(x) = 0[/tex]
[tex]x = \frac{\pi}{2} + 2\pi(n)[/tex]
So there is a solution of zero.
[tex] \cot(x) = 0[/tex]
[tex] \frac{ \cos(x) }{ \sin(x) } = 0[/tex]
There answer here is
[tex]x = \frac{\pi}{2} + 2\pi(n)[/tex]
So there is a solution. of zero here
If cot x=0, has a solution of zero, then tan x does as well. Since we can use
[tex] \frac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
[tex] \frac{ \sin(x) }{ \cos(x) } = 0[/tex]
The answer here will be
[tex]0 + 2\pi(n)[/tex]
So that leaves sec x.
Proof:
[tex] \sec(x) = \frac{1}{ \cos(x) } [/tex]
1 divided by any number won't equal zero, so the solution will never be 0.
which would be the right one????
Help me with this pls
Answer:
C. 72
Step-by-step explanation:
The whole angle measures 106 degrees as mentioned on top and we know that angle HFG is 34 degrees because it says so in that angle. Just do this: 106-34. The answer is 72. We subtract because we're finding the remaining/missing number in this problem. If you want to check if your answer is correct, you can add 72 and 34.
Another way you could do this is by just adding each option with 34 to see if you get a total of 106.
can 4 millimeters, 9 millimeters, 9 millimeters make a triangle
Answer:
yes
Step-by-step explanation:
Acute isosceles triangle.
Sides: a = 9 b = 9 c = 4
Area: T = 17.55
Perimeter: p = 22
Ms. Heinz spent 12 dollars on 30 bus tokens for
the field trip. What was the cost of 12 tokens
Answer:
4.8
Step-by-step explanation:
Firstly, you take the ratio 12d/30t(d=dollars, t=tokens). And you switch it to (unknown)d/30t. And if you execute the formula(12 * 12 / 30) you get 4.8.
hope i helped
How do you do this question?
Problem 1
You are correct. The answer is choice C.A sequence is just a list of numbers where the order matters. Something like (1,2,3,4,5) is different from (3,1,2,5,4)
A series is where you add up that list of numbers to get a single value. For instance, the sum of the list (1,2,3) is 1+2+3 = 6. This is basically a partial sum when talking about infinite sequences because the next partial sum would be 1+2+3+4 = 10 and the next partial sum would be 1+2+3+4+5 = 15, and so on.
=======================================================
Problem 2
Answer: Choice AWhy is this? Each time we get a partial sum, we're basically forming a new sequence. We're forming a sequence of sums. Going back to the example in problem 1, we had the partial sums (6,10,15). If we keep this process going, we'll have the list of partial sums grow forever and not approach some finite value. Therefore, this series diverges.
If the sums were to slowly get closer to some fixed value, then we would say the series converges.
Need help asap
Everything provided below in picture
Answer:
[tex]1. \frac{4}{3}[/tex]
[tex]2.\frac{1}{3}[/tex]
Step-by-step explanation:
To find the scale factors, you find the length of one side from the image, and divide it by the length of the similar side in the image.
So, for #1, the image side is 8 units, and the pre-image is 6.
8/6 = 4/3
For #2, the image is 3 units, and the pre-image is 9 units.
3/9 = 1/3
Find the measure of angle a.
a
50°
Answer:
the measure of angle is m(<a)=40
Step-by-step explanation:
the intirior angles of all triangles add up to 180
with this you can subtract the 90 degree angle and the 50 degree angle from the total of 180 degrees.
180
90
-50
---------
=40 degreese
hoped this helped.
Step-by-step explanation:
a+50+90=180°(being sum of angle of right angled▲)
or, a+140= 180°
or, a=180°_ 140°
Therefore, a=40°
An electronic salesman wants to earn $4,000 in November. He receives a base salary of $2000 per month as well as a 10% commission for all sales in that month. How much merchandise will he have to sell to earn the amount of money he wants
20000
Based on the given conditions, formulate:
[tex](4000-2000)\div10\ percent[/tex]
Calculate
[tex]\frac{4000-2000}{0.1}[/tex]
Calculate the sum or difference
[tex]\frac{2000}{0.1}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]\frac{20000}{1}[/tex]
Any fraction with a denominator of 1 is equal to its numerator
[tex]20000[/tex]
I hope this helps you
:)
Step-by-step explanation:
his salary =$2000
his commission should be (to make a total of $4000/month )=$4000-$2000 =$2000
let he should sell x amount over $7000 to get $2000 commission
So, 7% of x = 2000
7x/100 = 2000
x= (2000*100)/7 =28571.43 approx
As he will get commission on sales over $ 7000,so his should sell in a month
=$7000+$28571.43
= $ 35571.43