The function that represents the relationship between x and y is y = (2/3)x.
The function that represents the relationship between x and y when y varies directly with x is of the form y = kx, where k is the constant of proportionality. In this case, we are given that y = 6 when x = 9, which means that k = y/x = 6/9 = 2/3. Therefore, the function that represents the relationship between x and y is y = (2/3)x.
This means that for any given value of x, y will be equal to 2/3 times that value of x. For example, if x = 12, then y = (2/3) x 12 = 8. This relationship is called direct variation because as x increases, y also increases in proportional level.
Overall, the answer is function that represents the relationship between x and y when y = 6 and x = 9 is y = (2/3)x.
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Julie & Maria go to Sam's Club to purchase candy. Julie buys three five-pound bags of candy and two one sound bags of candy for a of 19. Maria buys one five-pound bag of candy and four one-pound bags of Candy for $ 13
A) write a system of two equations that represent this scenario and define your variables
Answer: 5x + 2y = 19
x + 4y = 13
Step-by-step explanation:
let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.
5x + 2y = 19
x + 4y = 13
What is the slope of a line passing through the points (3,9) and (5,10)?
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3
Given the following systems of equations,
x1+2x2+3x3=2
x2-x3=8
x1+2x2+x3=4
1. write the equations using matrix notation.
2. solve for x3 using Cramer’s rule.
1. [1 2 3] [x1] [2]
[0 1 -1] [x2] = [8]
[1 2 1] [x3] [4]
2. x3 equals to -11/3.
To solve for x3 using Cramer's rule, we need to find the determinant of the coefficient matrix and then form three additional matrices by replacing the third column of the coefficient matrix with the constants vector. The determinant of the coefficient matrix is:
| 1 2 3 |
| 0 1 -1 |
| 1 2 1 | = 1(1-4)-2(3-1)+3(2-2) = -3
Next, we form three matrices by replacing the third column of the coefficient matrix with the constants vector:
[1 2 2] [2]
[0 1 8] = [8]
[1 2 4] [4]
[1 2 3] [2]
[0 1 -1] = [8]
[1 2 1] [4]
[1 2 3] [2]
[0 1 -1] [8]
[1 2 4] [4]
The determinants of these matrices are:
| 1 2 2 | | 1 2 3 | | 1 2 3 |
| 0 1 8 | = -4| 0 1 -1 | = -3| 0 1 -1 | = 11
| 1 2 4 | | 1 2 1 | | 1 2 4 |
Therefore, x3 can be calculated as:
x3 = Det(B)/Det(A) = 11/-3 = -11/3
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Robin’s favorite pound cake recipe needs 2 1/3 cups of flour. She plans to make 2 cakes for a picnic. She has 4 1/2 cups of flour in her cabinet. How much more flour does she need to make the 2 cakes
Answer: 1/6
Step-by-step explanation:
Car = V-8 sedan
Year driven = third
Miles driven = 10,000
The depreciation for this vehicle using method 2 will be $
Note that the depreciation for this vehicle using method 2 will be $340.
What is the explanation for the above response?To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.
First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:
Total depreciation = Miles driven x Depreciation rate per mile
Total depreciation = 10,000 x 3.4 cents per mile
Total depreciation = 34,000 cents
Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:
Total depreciation = 34,000 cents ÷ 100 cents/dollar
Total depreciation = $340
Therefore, the depreciation for this vehicle using method 2 will be $340.
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4/25^1/2nnnmmmmmmmmmmmmmmmmmmmmmmm
Answer:
0.08
Step-by-step explanation:
4/25^1/2 = 0.08
a researcher constructs a confidence interval for a population proportion using a sample of size 50. the value of p-hat is .3, and the resulting confidence interval is determined to be (.1323, .4677). what's the level of confidence for this interval?
The level of confidence for the given confidence interval is 95% and z-score is 1.96.The calculation involves using the formula for the confidence interval and the given sample proportion and size.
We can use the formula for the confidence interval for a population proportion:
p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))
Where p-hat is the sample proportion, z is the z-score for the desired level of confidence, and n is the sample size.
We're given that p-hat = 0.3 and n = 50. We're also given that the confidence interval is (.1323, .4677), which means that:
p-hat ± z*(sqrt(p-hat*(1-p-hat)/n)) = (.1323, .4677)
We can use the midpoint of the confidence interval as the point estimate for p-hat, which is (0.1323 + 0.4677) / 2 = 0.3.
Substituting the values we have into the equation, we get:
0.3 ± z*(sqrt(0.3*(1-0.3)/50)) = (.1323, .4677)
Simplifying the equation, we get:
z = 1.96
Therefore, the level of confidence for this interval is 95%, since the z-score for a 95% confidence level is 1.96.
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Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 26 times, keeping track of the numbers that are rolled.
No, this procedure does not result in a binomial distribution because the outcome of each roll is not a success or failure, but rather a specific number from 1 to 6.
In a binomial distribution, there are only two possible outcomes (usually denoted as success or failure) for each trial.
Based on the information provided, the given procedure does not result in a binomial distribution. A binomial distribution has specific requirements, which are:
1. Fixed number of trials (n).
2. Only two possible outcomes (success or failure) in each trial.
3. The probability of success (p) remains constant in each trial.
4. Trials are independent of each other.
In the given procedure, while there is a fixed number of trials (26), there are six possible outcomes (1, 2, 3, 4, 5, and 6) instead of only two. This violates the second requirement of a binomial distribution.
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what is -12x-17=-125
Answer:
X = 9
Step-by-step explanation:
some one please help me ms derienzo is killing my little pea brain
2 + 2 = 4 - 1 =
thats 3 quick maffs
Answer:
3
Step-by-step explanation:
help help help help math math
Answer:
L = 5u
Step-by-step explanation:
area = 8 × L
L = area ÷ 8
40 ÷ 8 = 5
L = 5u
Answer:
L = 5u
hope it help
2. The coordinates of the vertices of ΔARC are A(3,3), R(1,-1), and C(-2,1). Angela is trying to determine whether this shape is a right triangle or not. She has made a mistake in the work below the graph. Explain the mistake and show the correct solution.
Angela’s solution:
slope of AR = (3-(-1))/(3-1)=3/2
slope of RC = (1-(-1))/(-2-1)=2/(-3)=-2/3
slope of AC = (3-1)/(3-(-2))=2/5
Since AR and RC are opposite reciprocal slopes, those two sides are perpendicular, and the triangle is a right triangle.
Answer:
Her mistake was in the slope for segment AR, (3 - (-1)/(3 -1) = 4/2 ≠ 3/2
Step-by-step explanation:
The steps for obtaining the slope is given as follows;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where;
(x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints of the line
The coordinates of the vertices are;
A(3, 3), R(1, -1), and C(-2, 1)
Slope of AR = (3 - (-1))/(3 - 1) = (3 + 1)/(3 - 1) = 4/2 = 2
The slope of RC = (-1 - 1)/(1 - (-2)) = -2/(1 + 2) = -2/3
The slope of AC = (3 - 1)/(3 - (-2)) = 2/(3 + 2) = 2/5
Therefore, her mistake was the value of the double negation in the numerator when finding the slope of AR is 4 rather than 3
Answer:
the mistake in the slope is , (3 - (-1)/(3 -1) = 4/2 ≠ 3/2
Step-by-step explanation:
Solve systems using substitution PLEASE
What is 4% of 50% of 5 ?
Answer:
0.1
Step-by-step explanation:
1. Convert percents to decimals.
0.04, 0.5
2. Solve.
(0.04)(0.5)5
0.1
Answer:
0.1
Step-by-step explanation: Solve from right to left using multiplication.
50% = 1/2
5 x 1/2 = 2.5
4% = 0.04
2.5 x 0.04 = 0.1 :)
Match each equation to a step that will help solve the equation.
Eqautions: Numbers:
1) Multiply each side by 5.
2) Multiply each side by -5.
3) Multiply each side by 1/5.
4) Multiply each side by -1/5.
A) 5x= 0.4
B) x/5=8
C) 3 = -x/5
D) 7 = -5x
which of the following does NOT represent a function?
Answer:
Third graph does not represent a function.
Step-by-step explanation:
A function is a relation in which each element of the domain corresponds with exactly one element of the range. You could use the vertical line test to verify whether a given graph represents a function. The vertical-line test states if a vertical line passes through more than one point on the graph of a relation, then the relation is not a function. A relation is a set of pairs of input (x values) and output (y values).
Looking at the third graph and conducting the vertical line test, you'll see that the vertical line will pass through more than one point on the graph of a relation.
Below is a screen capture of the vertical line test I've done using the image you've provided. You'll see that given an x-value of 3, it has two corresponding y-values: 4 and -4.
Why are unequal class intervals sometimes used in a frequency distribution? a) For the sake of variety in presenting the data. b) To avoid the need for midpoints. c) To make the class frequencies smaller. d) To avoid a large number of classes with very small frequencies.
The correct answer is d) To avoid a large number of classes with very small frequencies.
Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.
For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.
Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.
Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.
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Ethan makes punch by mixing orange juice with
sparkling water. He uses the same ratio of orange juice
to sparkling water each time he makes punch. The table
shows some of the amounts of orange juice and
sparkling water he uses for different amounts of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28
If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total amount of punch?
Use the number pad to enter your answers in the boxes.
Ethan will use ____
fl oz of orange juice, and he will have a total of ___
fl oz of punch.
Answer:
Ethan will use 49
fl oz of orange juice, and he will have a total of 77
fl oz of punch.
Step-by-step explanation:
He uses a ratio of 7 to 4 of orange juice to sparkling water.
7/4 = ?/28
4 * ? = 7 * 28
Divide both sides by 4.
? = 7 * 7
? = 49
He will use 49 fl oz of orange juice.
The total amount made is: 49 fl oz + 28 fl oz = 77 fl oz
Answer:
Ethan will use 49
fl oz of orange juice, and he will have a total of 77
fl oz of punch.
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
To find the area of the tile, we need to first find the length of the top horizontal side.
Using the Pythagorean theorem, we can find the length of the diagonal:
d² = 3² + (5+6)²
d² = 9 + 121
d = √130
Now we can use the fact that the diagonal cuts the rectangle into two right triangles to find the length of the top horizontal side:
5x = 3(6)
x = 18/5
Therefore, the length of the top horizontal side is 18/5 centimeters.
Now we can find the area of the tile:
A = (3 + 18/5) * 5/2
A = 15 + 27/5
A = 102/5
Rounding to one decimal place, we get:
A ≈ 20.4 cm²
Therefore, the closest option to the area of the tile shown is 42.5 cm².
Henry examined the table that represents values satisfying the function f(x) shown below.
Based on the information in the table, which one of these key features is incorrect?
A) the maximum value of the function is 4.
B) the y-intercept of the graph of the function is at (0,-18).
C) a local minimium is located within the interval [3,6].
D) a local maximum is located within the interval [ 1,3].
the answer is A. it is asking for the incorrect answer therefor all are correct except A.
Answer:
A got it right
Step-by-step explanation:
what is the solution -3=x+5
Answer:
x = -8
Step-by-step explanation:
Step 1: Write out equation
-3 = x + 5
Step 2: Subtract both sides by 5
-3 - 5 = x + 5 - 5
-8 = x
Step 3: Rewrite
x = -8
Step 4: Check
-3 = -8 + 5
-3 = -3
Answer:
-8
Step-by-step explanation:
-3 - 5 = -8
-8 + 5 = -3
hope this helps
plz mark brainlesit
solve:
15.2+(-7.12)
NEEDED ASAP!
A train traveled at the same speed for 3 hours. It went 80.31 miles in all. How fast was the train going
Answer:
26.77 mph
Step-by-step explanation:
Formula for Avg. Speed = Distance/Time
80.31/3 = 26.77
Answer:
26.77 miles per hour
Step-by-step explanation:
Distance ÷Time
80.31 miles ÷3hrs
= 26.77 miles per hour
Find the surface area of the pyramid.
A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.
The surface area is
square yards.
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Find the surface area of the pyramid.
A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.
The surface area is
square yards.
Skip to navigation
Find the SA of a triangular pyramid, the base triangle is 20, the height of 17.3 yard, and 12
Step-By-Step:
The height triangle has a height of 17.3 yards and a width of 12 yards. 3. Finally, connect the two triangles to create the pyramid's surface area. The surface area of the pyramid is 116.7 yards².
Answer:
116.7 yards².
Answer:
The first step is to find the area of the base triangle:
Area = (1/2) x base x height
Area = (1/2) x 20 yards x 17.3 yards
Area = 173 square yards
To find the surface area of the pyramid, we need to find the areas of the four triangular faces and add them to the base area.
Area of a triangular face = (1/2) x base x height
Area of each face = (1/2) x 20 yards x 12 yards
Area of each face = 120 square yards
Now we can add up all the areas:
Surface area = base area + area of four faces
Surface area = 173 square yards + 4 x 120 square yards
Surface area = 653 square yards
Therefore, the surface area of the pyramid is 653 square yards.
An animal shelter finds homes for dogs and cats. Which fact establishes that the observation "an animal is a cat" is independent from the observation "an animal is adopted"?
Cats constitute the same fraction of animals adopted as not adopted.
The fraction of cats that are adopted is equal to the fraction of dogs that are not adopted.
As many cats are adopted as are not adopted.
As many cats as dogs are adopted.
Answer:
i think a. srry if im wrong,
Step-by-step explanation:
have a nice day:)
From midnight to 7:00 am, the temperature dropped
0.9
0.9°C each hour. If the temperature at midnight was
−
13
−13°C, what was the temperature at 7:00 am?
The temperature at 7:00 am is -19.3°C.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Midnight temperature = -13°C
The temperature drops each hour = 0.9°C
The number of hours from midnight to 7:00 am.
= 7 hours.
Now,
The temperature at 7:00 am.
= -13 - 7 x (0.9)
= -13 - 6.3
= -19.3°C.
Thus,
-19.3°C is the temperature at 7:00 am.
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Which of the following does not have to be
checked during an audit of an existing wireless system.
Select one:
A. Network redundancy
B. Condition
C. Transmitter output
The answer is A. Network redundancy. During an audit of an existing wireless system, network redundancy does not have to be specifically checked.
Network redundancy refers to the existence of backup systems or paths to ensure uninterrupted connectivity in case of failures. While network redundancy is an important consideration in designing and maintaining a reliable wireless network, it is not typically part of the audit process.
On the other hand, the condition of the wireless system and the transmitter output are important aspects that need to be checked during an audit. The condition involves assessing the physical state of the equipment, such as antennas, cables, and access points, to ensure they are functioning properly. The transmitter output refers to the signal strength and quality being emitted by the transmitters, which is a crucial factor in assessing the performance of the wireless system.
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It cost Chloe $7.05 to send 47 text messages. How many text messages did she send if
she spent $26.70?
Answer:
178 text messages
Step-by-step explanation:
You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15. SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer
Given a function f(x). Suppose that Newton's interpolating polynomial P 2(x) of f(x) at the points x 0 =−3,x 1 =1 and x 2 =2 is P 2 (x)=x 2 +x+2. Calculate f[x0 ,x 1 ].
a. 4 b. −4 c. −3 d. −1
The value Newton's interpolating polynomial P 2(x) of f(x) of f[x0, x1] is -4.
In Newton's interpolating polynomial, the coefficients of the linear terms (x) correspond to divided differences. The divided difference f[x0, x1] represents the difference between the function values f(x0) and f(x1) divided by the difference between x0 and x1.
Since we are given P2(x) = \(x^2 + x + 2\), we can substitute the given x-values into P2(x) to find the corresponding function values.
For x0 = -3, substituting into P2(x) gives f(-3) = \((-3)^2 + (-3) + 2 = 12\).
For x1 = 1, substituting into P2(x) gives f(1) = \((1)^2 + (1) + 2 = 4\).
To calculate f[x0, x1], we need to find the divided difference between these two function values: f[x0, x1] = (f(x1) - f(x0)) / (x1 - x0) = (4 - 12) / (1 - (-3)) = -8 / 4 = -2.
Therefore, f[x0, x1] = -2, and the correct answer choice is b. -4.
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