Is the relation shown in the arrow diagram a function? Explain.
A No, each input has one output, so the diagram does not represent a function.
B Yes, the input 2 has two outputs, so the arrow diagram represents a function.
C Yes, the inputs 1, 5, and 11 have one output, so the arrow diagram represents a function.
D No, the input 2 has two outputs, so the arrow diagram does not represent a function.
Answers
Answer:
D
Step-by-step explanation:
Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function
Related Questions
2/3(x+6)=-8 whats the value of x?
Answers
Answer:
x=-18
Step-by-step explanation:
Answer:
The answer is -18
Step-by-step explanation:
STEP 1:
\(3 \times \frac{2}{3} (x + 6) = 3( - 8)\)
2(x+6) = -24
______________________________________
STEP 2:
Divide both sides by 2:
\( \frac{2(x + 6)}{2} = \frac{ - 24}{2} \)
________________________________
STEP 3:
Simplify:
\(x + 6 = - 12\)
Subtract 6 from both sides:
\(x + 6 - 6 = - 12 - 6\)
________________________________
STEP 4:
\(x = - 18\)
Therefore, your answer is -18.
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what is the difference between 17/100 x 20 and 17/20 x 100 in percentage
Answers
96% percentage is the difference between 17/100 x 20 and 17/20 x 100
The difference between (17/100) x 20 and (17/20) x 100 can be calculated by finding the absolute difference between the two values and expressing it as a percentage of the larger value.
First, let's calculate each expression:
(17/100) x 20 = 0.17 x 20 = 3.4
(17/20) x 100 = 0.85 x 100 = 85
The difference between these two values is |85 - 3.4| = 81.6.
To express this difference as a percentage of the larger value, we divide 81.6 by the larger value (85 in this case) and multiply by 100:
(81.6 / 85) x 100 = 96%
Therefore, the difference between (17/100) x 20 and (17/20) x 100 is approximately 96% of the larger value.
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help a brotha out!!!!!!!!!!!!
Answers
Answer:
the highest degree of the polynomial is 2
Step-by-step explanation:
Mr. Pham assigns a quiz that will have at most 15 questions. Write an inequality that shows how many questions, q, will be on Mr. Pham’s quiz
Answers
The inequality that shows how many questions, q, will be on Mr. Pham's quiz is: 0 ≤ q ≤ 15
What is inequalities?
In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).
This inequality states that the number of questions, q, must be greater than or equal to zero (since there cannot be a negative number of questions), but less than or equal to 15 (since Mr. Pham's quiz will have at most 15 questions).
Therefore, the inequality that shows how many questions, q, will be on Mr. Pham's quiz is: 0 ≤ q ≤ 15
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Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Answers
Using translation concepts, the coordinates of the image of the triangle are given as follows:
A'(-1,-4), B'(-2,0), C'(-3, -11).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90° counterclockwise rotation about the origin is given as follows:
(x,y) -> (-y,x).
Hence the coordinates of the image of the triangle are given as follows:
A': (-4, 1) -> (-1, -4).B': (0, 2) -> (-2,0).C': (-11, 3) -> (-3, -11).More can be learned about translation concepts at https://brainly.com/question/4521517
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find x for problem c please
Answers
Answer:
here is my solution:
let me know if you have any questions please
Please help geometry people.
Answers
Answer:
Since QPR is an isoscelese triangle, QP and PR are congruent.
Therefore PR = 8
My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5
Step-by-step explanation:
Hope this helps!!!
Please mark brainliest.
I NEED HELP WITH THIS ASAP
Answers
Answer:
1) Most likely Graph A
2) Appears to Decrease more
Step-by-step explanation:
1) It has a more dramatic decrease in the graph, and a more fitting spacing between the numbers on the Y Axis.
2) Same Reasoning
Three Fourths of the runners finished the St.Patricks day marathon. If 1,602 runners finished how many entered the race?
Answers
Answer:
1,068 runners
Step-by-step explanation:
50 points please lmk how to do this
Answers
Answer:
ZD= OY= 42
DO= ZY= 25
YV= VD= 60/2= 30
ZV= OV= 18
Step-by-step explanation:
Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD
Hope this helps!!
I don’t get this at all please help!!
Answers
Answer:
I can't this type of mathematics
Answer:
29) x = 12
30) x = 6
31) x = -4
32) x = 5
Not sure if the degree symbol is needed for the answer.
Step-by-step explanation:
Apply angle sum of triangles to all 4 questions.
29) (3x + 4) + 50 + 90 = 180 i.e. x = 12
30) (8x + 7) + 35 + 90 = 180 i.e. x = 6
31) 64 + 65 + (x + 55) = 180 i.e. x = -4
32) 70 + 35 + (14x + 5) = 180 i.e. x = 5
A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?
Answers
Answer:
5.48 lb
Step-by-step explanation:
12 inches is 1 foot.
12.8 times that length will have 12.8 times that weight:
12.8 · 0.428 lb = 5.4784 lb ≈ 5.48 lb
__
The given values have 3 significant figures, so the answer needs to be rounded to 3 significant figures.
Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.
Answers
The value of Erica's investment after 6 years is approximately $4,939.05.
To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:
A = P\((1 + r/n)^(nt)\)
Where:
A is the final amount or value of the investment.
P is the initial principal or investment amount.
r is the annual interest rate (as a decimal).
n is the number of times the interest is compounded per year.
t is the number of years.
In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:
P = $4000
r = 0.04
n = 1 (since the interest is compounded annually)
t = 6 years
Plugging these values into the compound interest formula, we can calculate the final value of the investment:
A = $4000(1 + \(0.04/1)^(1*6)\)
A = $4000(1 + 0.04)^6
A = $4000(1.04)^6
Evaluating this expression, we find:
A ≈ $4,939.05
Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.
This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.
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If x + y = -10 and x - y = 2, what is the value of x?
Answers
Answer:
Step-by-step explanation:
x = 16 and x = 24.
answer
-8
Step-by-step explanation:
if they give you Y please let me know
Which word does not belong in the group of words
Belize, Kingston, Bridgetown, London
Answers
Answer:
belize
Step-by-step explanation:
Answer:
Belize
Step-by-step explanation:
i dont know if its right tell me if im wrong
(ii) Find p if 3^p =
3 square root 9/3
Answers
We must know the following exponent rules to help us solve this question:
\(a^\frac{m}{n}=\sqrt[n]{a^m}\)\(\dfrac{a^m}{a^n}=a^{m-n}\)\((a^m)^n=a^{mn}\)\(a^m=a^n, \therefore m=n\)Solving the Question
\(3^p=\dfrac{\sqrt[3]{9}}{3}\)
⇒ Rewrite \(\sqrt[3]{9}\) as \(9^\frac{1}{3}\):
\(3^p=\dfrac{(3^2)^\frac{1}{3}}{3}\)
⇒ Multiply:
\(3^p=\dfrac{3^\frac{2}{3}}{3}\)
⇒ Subtract:
\(3^p=3^{\frac{2}{3}-1}\)
\(p=\dfrac{2}{3}-1\\\\p=-\dfrac{1}{3}\)
Answer\(p=-\dfrac{1}{3}\)
Solve each proportion.
6/n-6 = 8/n
* please show the work too!
Answers
9514 1404 393
Answer:
n = 24
Step-by-step explanation:
Multiply the given equation by the product of denominators. Then subtract 6n and go from there.
\(\dfrac{6}{n-6}=\dfrac{8}{n}\\\\6n=8(n-6)\qquad\text{rid of fractions}\\\\0=2n-48\qquad\text{subtract 6n, simplify}\\\\0=n-24\qquad\text{divide by 2}\\\\\boxed{24=n}\qquad\text{add 24}\)
_____
Alternate solution
Any proportion can be written 4 ways. If we write this one "sideways," we have ...
6/8 = (n -6)/n
1 -1/4 = 1 -6/n . . . . . expand in parallel fashion
6/n = 1/4 . . . . . . . . subtract 1, multiply by -1
n = 24 . . . . . . . . . multiply by 4n
__
Another alternate solution (can be done mentally)
The above "sideways" proportion can be reduced to ...
3/4 = (n -6)/n
The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.
Select ALL the side lengths that make a right triangle. *
3,6,7
1,2,4
3,4,5
5,9,10
Answers
3,4,5 is correct
as we know that ,
3² + 4² = 5²
9 + 16 = 5²
25 = 25
hence . 3,4,5 is correct
Answer:
I'm pretty sure it's 3,4,5 but I'm not sure (is it in cm,mm etc?)
Solve the system of linear equations by graphing.
y equals negative one half times x plus 2
y equals one half times x minus 1
negative 3 comma one half
one half comma 3
one half comma negative 3
3 comma one half
Answers
Answer:
Give brainliest to the other person they deserve it
Step-by-step explanation:
What is the solution of Vx2+49 = x+5?
0 x = 12
12.
5
12.
X=-
5
x = -6 or x=-3
no solution
Answers
breifly describe the rules of multiplying and dividing integers
Answers
Answer:
Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
Step-by-step explanation:
Step-by-step explanation:
in multiplication:-
- × - = +
+ × - = -
- × + = -
+ × + = +
I will give brainlest
Sean wrote the expression 72 + 42. Rana used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Rana write?
6(19)
6(12 + 7)
12(6 + 4)
2(36 + 21)
Answers
If the length of a rectangle in terms of x is 5x2 + 4x - 4 centimeters and its
width is 3x² + 2x + 6 centimeters, what is the perimeter of the rectangle?
Answers
Answer:
Step-by-step explanation:
1222235567899.99978..88694..6.4.4.6.4.4.5
Help please!!!
Three fourths of the difference of a number and 7 is negative filteen. What is the number?
Answers
Answer:
The number is 27
Step-by-step explanation:
let the number be x
3/4 ( 7-x)=-15
21/4 - 3/4x=-15
collect like terms
-3/4x=-15-21/4
-3/4x=-81/4
divide both sides by -3/4
x=27
the difference of ages of ammu and appu is 6. two times the age of appu is 8 more than the age of ammu. find their ages
Answers
We will form the system of equations as per statements given in the question, then by solving the equations we can find the ages of Ammu and Appu.
By solving the equations, ages of Ammu and Appu will be 20 and 14 years respectively.
Let the age of Ammu = a yearsAnd the age of Appu = b yearsSince, difference of the ages of Ammu and Appu is 6, equation will be,
a - b = 6 ------ (1)
If two times the age of Appu is 8 more than the age of Ammu, equation will be,
2b = 8 + a
2b - a = 8 ------ (2)
Add both the equations (1) and (2),
(a - b) + (2b - a) = 6 + 8
b = 14
Substitute the value of 'b' in equation (1),
a - 14 = 6
a = 20
Therefore, ages of Ammu and Appu are 20 years and 14 years respectively.
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Ammu age is 20 and Appu age is 16, and the further calculation can be defined as follows:
Given:
Please find the question.
Let
Ammu age=x
Appu age=y
The difference in the age =6
So, the equation:
\(\to \bold{x-y=6}....................(i)\)
Two times the age of Appu is 8 more than the age of Ammu, So the equation:
\(\to \bold{2y=x+8}..............................................(ii)\)
Solving the equation (i) and put the value into the equation (ii):
\(\to \bold{x-y=6} \\\\ \to \bold{x=6+y}\)
putting the value:
\(\to \bold{2y=x+8}\\\\\to \bold{2y=(6+y)+8}\\\\\to \bold{2y=6+y+8}\\\\\to \bold{y=6+8}\\\\\to \bold{y=14}\\\\\)
Putting the value of y into the equation (i) then:
\(\to \bold{x=6+14}\\\\\to \bold{x=20}\)
So, the age of Ammu and Appu is "20 and 14".
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Factorise x^2+4x+3
Write your steps as well please
Answers
Step-by-step explanation:
x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)hope it helps.
stay safe healthy and happy...Dogs vary in size more than cats do. Suppose the weight of dogs (D) in a certain city has a mean of 28 pounds with a standard deviation of 14 pounds and the weight of cats (C) has a mean of 9.5 pounds with a standard deviation of 2 pounds. Cat weights are roughly Normally distributed but dog weights are skewed to the right. Suppose you select a random sample of 10 dogs and 8 cats. What is the probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs?
a. approximately 0
b. 0.80
c. 0.05
d. 0.95
e. 0.99 .
Answers
The probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs can be determined by comparing the sampling distributions of the means of both groups. Given that the weights of cats are roughly Normally distributed and the weights of dogs are skewed to the right, we can use statistical techniques to find the probability.
To compare the sample means, we need to standardize them using the Central Limit Theorem. The sampling distribution of the sample mean weight for cats can be approximated as a Normal distribution with a mean of 9.5 pounds and a standard deviation of 2/sqrt(8) pounds (assuming a sample size of 8 cats). Similarly, the sampling distribution of the sample mean weight for dogs can be approximated as a Normal distribution with a mean of 28 pounds and a standard deviation of 14/sqrt(10) pounds (assuming a sample size of 10 dogs).
To find the probability that the sample mean weight of cats is greater than the sample mean weight of dogs, we can calculate the z-score for the difference between the two means and find the corresponding probability from the Normal distribution. However, since the weights of dogs are skewed to the right, it is likely that the sample mean weight of dogs will be greater than the sample mean weight of cats.
Therefore, the probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs is approximately 0, as stated in option (a).
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Mia is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. Write an equation you can use to find the price of a sandwich. Start by defining your variable. *
Answers
Answer:
The equation that can be use to determine the price of a sandwich is 5x + $1.25 = $38.75
Step-by-step explanation:
The equation that can be use to determine the price of a sandwich is as follows:
Let us assume the price of a sandwich be x
So,
The equation would be
5x + $1.25 = $38.75
5x = $38.75 - $1.25
x = $37.5 ÷ 5
x = $7.5
hence, the equation that can be use to determine the price of a sandwich is 5x + $1.25 = $38.75
Jake earned $1.155 in interest from his savings account over the last 5 years. The account has an annual rate of 1.25% how much did jake originally deposit in his account as his principal?
Answers
9514 1404 393
Answer:
$18.48
Step-by-step explanation:
If we assume the account earned simple interest, the amount is given by the formula ...
I = Prt . . . . interest on principal P at annual rate r for t years
1.155 = P·0.0125·5
P = 1.155/0.0625 = 18.48
Jake initially deposited $18.48 as his principal.
_____
Additional comment
The amount $1.155 is an unusual specification for an amount of money. If you mean $1,155.00, then the principal amount is likewise multiplied by 1000: $18,480.
The dimension of the row space of a 3 x 3 matrix A is 2. (a) What is the dimension of the column space of A? (b) What is the rank of A? (c) What is the nullity of A? (d) What is the dimension of the solution space of the homogeneous system Ax = 0?
Answers
a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.
(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.
(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:
nullity = number of columns - rank
nullity = 3 - 2 = 1
Therefore, the nullity of matrix A is 1.
(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
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