Is the relation a function?
Answer:
No!
Step-by-step explanation:
The domain (x) cannot have 2 values. In this case, -4 is -3, and -4 is also 8.
This is not a function!
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
What is the solution to the system of equations?
-2x + 5y = -16
3x - 4y = 17
The solution of the system of equations is , x= -16 - 10/2 = 13
What is equations?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.According to our question-
-2x + 5y = -16 (3) = -6x + 15y = -48
3x - 4y = 17 (2) = 6x - 8y = 34
7y = -14
y= -14/7 = 2
-2x + 5(2) = -16
-2x + 10 = -16
x= -16 - 10/2 = 13
hence,The solution of the system of equations is , x= -16 - 10/2 = 13
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Arrange from shortest to longest. 3/8, 3/6, 3/4.
Answer: it already is.
Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece
There is a 30% chance that it rains on Saturday. If it rains, the probability that Sarina will go to
the store on Saturday is .12. If it doesn't rain, the probability that she will go to the store is .53.
Let R represent "it rains and S represent "going to the store".
a. Sketch a tree diagram to
represent this scenario.
b. P(S) = ?
c. P(S') = ?
d. P(S | R) = ?
e. P(R' | S') = ?
b) P(S) = 0.356 , c) P(S') = 0.644 ,d) P(S | R)= 0.078 e) P(R' | S') = 0.965
is the probability of all cases according to question conditions
what is probability ?
Probability is a measures the likelihood of event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.
what is event occurring ?
An event is any outcome or result that can occur in a given situation. It can be a simple outcome, such as flipping a coin and getting heads, or a more complex outcome
In the given question,
a. Here is the tree diagram for the scenario:
Rain (0.3)
/ \
S (0.12) S' (0.88)
/ \
No Rain (0.7) S (0.53)
\
S' (0.47)
b. We can use the Law of Total Probability to calculate P(S):
P(S) = P(R) * P(S | R) + P(R') * P(S | R')
= 0.3 * 0.12 + 0.7 * 0.53
= 0.356
Therefore, there is a 35.6% chance that Sarina will go to the store on Saturday.
c. P(S') represents the probability that Sarina will not go to the store on Saturday. We can use the complement rule to calculate it:
P(S') = 1 - P(S)
= 1 - 0.356
= 0.644
Therefore, there is a 64.4% chance that Sarina will not go to the store on Saturday.
d. P(S | R) represents the probability that Sarina will go to the store on Saturday given that it rains. We can use Bayes' Theorem to calculate it:
P(S | R) = P(R | S) * P(S) / P(R)
= P(S | R) * P(R) / (P(R | S) * P(S) + P(R | S') * P(S'))
= 0.12 * 0.3 / (0.12 * 0.3 + 0.53 * 0.7)
= 0.078
Therefore, there is a 7.8% chance that Sarina will go to the store on Saturday given that it rains.
e. P(R' | S') represents the probability that it doesn't rain given that Sarina doesn't go to the store on Saturday. We can use Bayes' Theorem to calculate it:
P(R' | S') = P(S' | R') * P(R') / P(S')
= P(S' | R') * P(R') / (P(S | R) * P(R) + P(S' | R') * P(R'))
= 0.47 * 0.7 / (0.078 * 0.3 + 0.47 * 0.7)
= 0.965
Therefore, there is a 96.5% chance that it doesn't rain given that Sarina doesn't go to the store on Saturday.
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
Graph the solution to this inequality on the number line
5x - 17 > 8 or -4x - 2 <6
Answer:
open circle on negative two going to the right
Which equation demonstrates the distributive property?
Answer:
B-36*8=8*36
The distributive property is just using the same numbers except it's just switched around but hte same numbers are in the problem/equation.
Hope this helps!
Have a great day!
- Hailey
Look below for an example!
Do these ratios form a proportion?
3 parents to 10 children
6 parents to 15 children
yes
no
Answer:
nope
Step-by-step explanation:
Answer:
no they are not
A scientist is working with two different concentrations of hydrochloric acid (HCI). One bottle is
80% HCI, and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI.
How many liters of the 80% solution do they need?
How many liters of the 50% solution?
The liters of 80% material is 2/3 liters.
The liters of the 50% solution is 1/3 liters.
How to illustrate the information?Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).
Let x = volume of 80%
Let 1 -x =volume of 50%
Therefore, the expression to illustrate the information will be:
80x + 50 × (1 - x) = 70
80x + 50 - 50x = 70
30x = 70 - 50
30x = 20
Divide
x = 20/30
x = 2/3
Therefore there are 2/3 liters of 80% material
The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:
= 1 - 2/3
= 1/3
There are also 1/3 liters of 50% material.
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Referring to the figure, find the unknown
length. Write your answer in simplest form.
Answer:
Step-by-step explanation:
Comment
This is a Pythagorean problem. That means it follows the rule of
c^2 = a^2 + b^2
Givens
c = 12
a = ?
b = 8
Solution
12^2 = a^2 + 8^2 Simplify
144 = a^2 + 64 Subtract 64 from both sides
80 = a^2 Take the square root of both sides.
√80 = √a^2
a = 4*√5
Note:
I think the answer I've given is the simplest form The decimal form is
a = 8.94
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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Simplify the following expression.
Answer:
\(\displaystyle \frac{cd^6}{a^4b^2}\)
Step-by-step explanation:
\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)
Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.
Step-by-step explanation:
a‐⁴b‐²cd⁶
_______
e‐⁷
cd⁶e⁷
_____
a⁴b²
Alaina evaluated 17/18+1/20 and got an answer of 18/38. Which statement is true about her answer?
1. Her answer is not correct because when you add fractions, the sum is always greater than 1.
2. Her answer is correct because all the fractions are less than 1.
3. Her answer is not correct because the sum cannot be less than either addend.
4. Her answer is correct because 17+1=18 and 18+20=38.
Answer:
I think it's 3. cuz 17 cannot be divided by 18
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
\(2x^2+ 9y^2 \\\)
\(8 + 9 = 17\)
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Type < or > to make this statement true
Answer:
- \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Step-by-step explanation:
Which number is closer to 0, meaning that number is bigger.
-9/10 = -0.9
-10/10 = -1
We see -0.9 is closer to 0, meaning it is bigger.
So, - \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Idrk what to name this but- just only answer if you are sure
Answer:
Put it on calculator
Step-by-step explanation:
Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70
If you don't understand don't be shy to ask you should learn from your mistakes
Answer:
C. 70%
Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)
40 inches to 4 feet as a fraction without units
Answer:
3 1/3
Step-by-step explanation:
40 Is 8 less than 48 so as a mixed number it can be 4 instead it has to be 3. Also the fraction is 8 less than 12 which is four so written out its.
3 4/12
which can be simplified to
3 1/3
Hope this helps :)
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Which vertex will result in the minimum value of the function T = x - 2y?
Answer:
the objective function, P, at each vertex ... Example: Find the maximum and minimum values of P=3x+2y subject to x + 4y ≤ 20 ... We can find the intersection of the two lines.
C. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points) I Water: gallons 3. A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a diameter of 8 inches and a height of 2 inches. Which will hold more batter, one rectangular pan or two round pans? (5 points)
Answer:
One Rectangular Pan
Step-by-step explanation:
Part C cannot be answered since the dimensions of the pool are not given. Please check the question.
The cake pans may be compared by calculating the volume of each shape:
Rectangular pan: Volume = Length x Width x Height
Volume Rectangle = (13")*(9")*(2") = 234 in^3
Round pan: Volume = \(\pi r^{2} h\)
Volume Round = (3.14)*(4")^2(2") = 100.5 in^3
Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter
One rectangular pan holds 234 in^3.
Go with the rectangular pan if you want more cake.
when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree.
The statement " when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree" is true.
A tree is a type of data structure made up of nodes and contains the following features:
1- Every tree has a root node (also known as a parent node) at the top that contains some value (can be any datatype).
2- There are 0 or more child nodes of the root node.
3- There are zero or more child nodes for each child node, and so forth. As a result, the tree gains a subtree. Each node has a separate subtree that consists of its offspring and their offspring, etc. This implies that any node can function as a tree on its own.
In addition, a binary search tree (BST) has the following two features:
1- Each node has a maximum of up to two children.
2-For each node, the values of its left descendent nodes are less than that of the current node, which in turn is less than the right descendent nodes (if any).
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I need help with this question!
9514 1404 393
Answer:
x = 87x = 5611x -5 = 83Step-by-step explanation:
Consecutive interior angles have a sum of 180°, so ...
(41 +7x) +(11x -5) = 180
18x +36 = 180 . . . . . . . . . simplify
x + 2 = 10 . . . . . . . . . . . . divide by 18
x = 8
The angle 7x is then ...
7x = 7(8) = 56 . . . . degrees
The angle 11x -5 is ...
11x -5 = 11(8) -5 = 83 . . . . degrees
__
Check
41 + 56 + 83 = 97 +83 = 180 . . . . as required
Answer:
According to the above problem
\((7x) + (11x - 5) + 41 = 180 \\ 18x = 180 + 5 - 41 \\ 18x = 144 \\ \boxed{x = 8}\)
Therefore, the angles are 41°, 56° and 83°.
To paint interior walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent job, the paint cost $100 and the total bill was $475.
The person must have painted ____ ft^2.
Answer: \(750\ ft^2\)
Step-by-step explanation:
Given
Rate of painting 50¢ per square foot
Cost of paint is $100
If the total bill is $475
We can write,
\(\Rightarrow 475=100+0.5\times x\quad [x=\text{area in square foot}]\\\Rightarrow 375=0.5x\\\Rightarrow x=750\ ft^2\)
Thus, \(750\ ft^2\) must be painted.
Lightfoot Inc., a software development firm, has stock outstanding as follows: 20,000 shares of cumulative preferred 2% stock, $20 par, and 25,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $3,000; second year, $5,000; third year, $34,500; fourth year, $71,000.
The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.
To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.
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Which simplified expression is the difference of (0.5n + 0.3) - (0.75n - 0.45) A: -0.25n + 0.15 B: 0.25n - 0.75 C: -0.25n + 0.75 D: 0.25n - 0.15 show work please
Answer:
(0.5n + 0.3) - (0.75n - 0.45)
0.5n + 0.3 - 0.75n + 0.45
-0.25n + 0.75
So it's C
Find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250.
Answer:
$159.24 is the balance after 9 months is the answer that you seek
Step-by-step explanation:
Answer:
the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.
Step-by-step explanation:
To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:
FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)
where:
FV = future value
Pmt = monthly payment
r = annual interest rate
n = number of compounding periods per year
t = time in years
In this case, we have:
Pmt = $250
r = 8%
n = 12 (since payments are made monthly)
t = 9/12 = 0.75 (since 9 months is three-quarters of a year)
Substituting these values into the formula, we get:
FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)
FV ≈ $2,366.98
Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.
packaging idaho produce company ships potatoes to its distributors in bags whose weights are normally distributed witb. nean weight of 50 pounds and a standard deviation of .5 pounds. if a bag of potatoes is selected at random from a shipment, what is the probability that it weighs more than 51 pounds
The probability that it weighs more than 51 pounds exactly 53 pounds.
Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.
We need to find the probability that it weighs more than 51 pounds,
P(X = 53) = 0
z = (51 - 50) / 0.5 = 2.00
P(X > 51) = P(z > 2.00) = 0.0228
z1 = (49 - 50) / 0.5 = -2.00
z2 = (51 - 50) / 0.5 = 2.00
P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544
Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.
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Determine coordinates of D on trapezium when A(-2;-2) and Cc(-3/4;-6) and midpoint of AD(-1/2;3)
The coordinates of D on the trapezium is (1, 8)
How to determine the coordinates of D on the trapezium?The coordinates are given as
A = (-2,-2)
C = (-3/4, -6)
Midpoint AD = (-1/2,3)
The midpoint is calculated as
Midpoint = 1/2 * (x1 + x2, y1 + y2)
So, we have the following:
Midpoint AD = 1/2 * (x1 + x, y1 + y)
This gives
(-1/2, 3) = 1/2 * (-2 + x, -2 + y)
Multiply through the equation by 2
So, we have
(-1, 6) = (-2 + x, -2 + y)
Evaluate the values of x and y in the equations
So, we have
-2 + x = -1
-2 + y = 6
This gives
x = 1
y = 8
So, we have
D = (1, 8)
Hence, the coordinates of D on the trapezium is (1, 8)
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What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points