Answer:
0.66
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5(3)^2÷9
5(9)÷9
45÷9
5
Using PEMDAS to solve :)
Parentesis
Exponents
Multiplication
Division
Addition
Subtraction
researchers typically report the adjusted r-square value because they lack confidence in the actual r-square.
T/F
Answer: False
Step-by-step explanation:
Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.
The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.
In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.
When using substitution to solve this system of equations, what is the result of the first step?
x
=
6
y
+
3
x
+
2
y
=
5
A.
x
+
2
(
6
x
+
3
)
=
5
C.
6
y
+
3
+
2
y
=
5
B.
x
+
2
(
6
y
+
3
)
=
5
D.
6
x
+
3
+
2
x
=
5
Answer:
answer
Step-by-step explanation:
one of you answer this question
1 x 2/3 + 15 please help
Answer:
15 2/3
Step-by-step explanation:
1 x 2/3 + 15=2/3+15=15 2/3
Answer: 15 2/3
Step-by-step explanation:
1. Times the 1 and the two-thirds.
1 * 2/3 = 2/3
2. Add two-thirds and fifteen.
2/3 + 15 = 15 2/3
Find the perimeter of the given image. Round your answers to the
nearest tenth.
Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
Answer:
28.6 (by the assumption that 4 is the radius)
Step-by-step explanation:
4 is the radius.
Circumference of a circle is πd or 2πr
But its a semi circle so our equation will be 2πr/2 + d
So subsitute, 2* π*4/2 + 8
=8 π/2 + 8
=4 π + 8
=20.6
This is only the circumference of the semi-circle
Now for the square, perimeter is equal to 4*S
so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32
Now add
32+20.6
52.6
Round
52.6
All this is on the assumption that 4 is the radius.
Let R be the region in the fourth quadrant enclosed by the x-axisand the curve Y = X^2 - 2KX, where k > 0. if the area of the region R is 36, thenthe value of k is
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9
We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.
Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:
0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K
So the limits of integration are from X = 0 to X = 2K.
Now we can set up the integral for finding the area of the region R:
∫[0,2K] (X^2 - 2KX) dX
Integrating this expression gives:
[(1/3)X^3 - KX^2] evaluated at 0 and 2K
Plugging in the limits of integration and simplifying, we get:
(8/3)K^3 - 4K^3
Simplifying this expression, we get:
(2/3)K^3 = 36
Solving for K, we get:
K^3 = 54
Taking the cube root of both sides, we get:
K = 3
Therefore, the answer is (B) 3.
To find the value of k, follow these steps:
1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.
2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.
3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K
4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)
5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08
The closest value from the given options is (A) 2.
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Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
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a test of writing ability is given to a random sample of students before and after they completed a formal writing course. the results below provide a before and after score for each student. construct a 99% confidence interval for the mean difference between the writing scores before and after the writing course.
The 99% confidence interval for the mean difference between the before and after scores is (-0.5 ,4.5).
A writing-test is taken for sample of students which are randomly selected, before and after they completed formal writing-course.
The results of the test scores before and after the test are :
Before ⇒ 80, 70, 92, 99, 97, 93, 76, 63, 68, 71, 74
After ⇒ 79, 69, 90, 96, 95, 91, 75, 64, 62, 64, 76
So,
Diff(d) ⇒ 1, 1, 2, 3, 2, 2, 1, -1, 4, 7, -2,
⇒ d² ⇒ 1, 1, 4, 9, 4, 4, 1, 1, 16, 49, 4,
Sum of difference = Σd = 22, and
Sum of d² = 114;
Mean difference is = 2,
The degree of freedom (df) = 11 - 1 = 10,
So, the standard deviation (S.D.) =√(Σd²-(Σd)²/n)/(n-1) = 2.645751 , and
the standard error (Se) = (S.D.)/√n = 2.6457/√11 = 0.7977,
For 99% confidence interval , 10 degree of freedom , t-value is = 3.169,
We know that, confidence interval = {(sample mean) ± t × standard error};
So, Margin of error = t × standard error = 2.527987 ≈ 2.5,
The lower confidence limit is = 2 - 2.5 = -0.5,
The upper confidence limit is = 2 + 2.5 = 4.5,
Therefore, the required 90% confidence interval is (-0.5 ,4.5).
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The given question is incomplete, the complete question is
A test of writing ability is given to a random sample of students before and after they completed a formal writing course. The results are given below. Construct a 99% confidence interval for the mean difference between the before and after scores. Round the limits to the nearest tenth.
Before 70 80 92 99 93 97 76 63 68 71 74
After 69 79 90 96 91 95 75 64 62 64 76
I need help with my work
Answer:
1. acute angle (less than <90)
2. right angle (approximately <90)
3. obtuse angle (more than <90)
4. acute angle (less than <90)
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Which operation will isolate the variable?
17b = 54 :
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
here's your process
=>. it is your equation 17b = 54
=> now divide 17 on both side
=> then we get 17b/17 = 54/17
=> hence , we get b = 54/17
=>now b is isolated by the method of division
hope it helps
The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
Write these fractions in order of size, smallest to largest.
1/3 1/4 2/5 5/6 3/10
Answer:
3/10 Smallest
2/5 I
1/4 I
1/3 V
5/6 Largest
Hope this helps :)
Neglect a is constructive response to job satisfaction. True False
Neglect a is constructive response to job satisfaction is the false statement.
Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.
Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.
When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.
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A clothesline rope is 8 feet long. Which of these is another way to express 8 feet?
answer choices
A/F
B/G
C/H
D/J
As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.
In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
Here we have given that a clothesline rope is 8 feet long.
Now we need to find another way to express 8 feet.
We know that the formula to convert the measurement it to divide the length by the conversion ratio.
As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as
=> yards = feet ÷ 3
Here the equivalent yard measurement is written as,
=> yards = 8 ÷ 3
Then we have to convert the improper fraction into mixed fraction form, then we get,
=> 2 ²/₃ yards.
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The original price for a piece of machinery is $150,000. If the piece of machinerydecreases in value by 22.5% each year, which graph models the value of the piece of machinery after x years?
The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.
The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.
To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:
y = \(a(1 - r)^x\)
Where:
- y represents the value after x years.
- a represents the initial value.
- r represents the decay rate (expressed as a decimal).
In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.
Therefore, the equation representing the value of the piece of machinery after x years would be:
y = \(\$150,000 * (1 - 0.225)^x\)
Simplifying the equation further, we have:
y = \(\$150,000 * (0.775)^x\)
From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.
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How do you find the maclaurin series expansion of f(x)=(1−x)^−2?
The Maclaurin series expansion of f(x) = 1/(1-x)² is
1 + 2x + 6x² + 24x³ +......
The general expression for the Maclaurin series is given by the formula:
f(x) = f(0) + xf'(0) + x²f''(0) + ..... + xⁿf⁽ⁿ⁾(0)+...
= ∑ f⁽ⁿ⁾ (0)xⁿ/n!
n= 0 to infinity
Specifying the convergence region completes the Maclaurin series formulation. Detailed five steps for determining the Maclaurin series of
f(x) = 1/(1-x)²
Step 1 : Find Derivatives for f(x)
f(x) = 1/(1-x)²
f'(x) = -2(1-x)⁽⁻²⁻¹⁾ (-1) = 2/(1-x)³
The second derivative of f(x) is the derivative of f''(x) :
f"(x) = 2(-3)(1-x)⁽⁻³⁻¹⁾(-1) = 6/(1-x)⁴
Differentiating again, f"'(x) = 6(-4)(1-x)⁽⁻⁴⁻¹⁾(-1)
= 24/(1-x)⁵
Thus, the nᵗʰ derivative is ,
f⁽ⁿ⁾(x) = (n+1)!/(1-x)⁽ⁿ⁻¹⁾
Step 2: Evaluate These Derivatives and f(x) at x=0 let x = 0 , f(0) = 1
f'(0) = 2 , f"(0) = 6 , ....... , f⁽ⁿ⁾(0) = (n+1)!
Step 3 : Now, the Sum of Products :
f(x) = f(0) + xf'(0) + x²f''(0) + ..... + xⁿf⁽ⁿ⁾(0)+...
xf'(0) = 2x
x²f"(0) = 6x²
x³f"'(0) = 24 x³
----------------------------
xⁿf⁽ⁿ⁾(0)= (n+1)!
Thus, the Maclaurin series for ln(1 + x) is this:
f(x) = (1−x)⁻² = 1 + 2x + 6x² + 24x³ +......
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9. Mr. Crowley bought lunch for himself and eight of his employees.
Each had a sandwich platter that costs $5.85 and a drink that
costs $1.25. Five of the employees had dessert that costs $1.50.
Mr. Crowley gave the delivery person $80 and told her to keep
the change as a tip. How much was the delivery person's tip?
Answer:
$8.60
Step-by-step explanation:
Let x = the tip
80 - x = 9(5.85 + 1.25) + 5(1.50)
80 -x = 63.90 + 7.5
80 - x = 71.40 Subtract 80 from both sides
-x = -8.60 Divide both sides by -1
x = 8.60
New homeowners hire a painter to paint rooms in their house. The painter pays $60 for supplies and charges the homeowners $20 for each room they want painted.
Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 60 through the point 3 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 60 through the point 3 comma 120
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 60 through the point 3 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 60 through the point 3 comma negative 120
The correct answer is option B, which shows a line going from the point (0, 60) to the point (3, 120).
How to find amount?
Let's start by finding out how much money the painter earns for each room painted. The painter pays $60 for supplies, so this amount must be subtracted from the total amount earned. Then, the painter charges $20 for each room painted, so the amount earned for each room painted is $20. Therefore, the total amount earned for painting $n$ rooms can be represented by the equation:
Total amount earned = $20n - $60
Now, we can use this equation to plot the relationship between the amount of money the painter earns and the number of rooms painted. To do this, we can create a coordinate grid with the x-axis labeled "Rooms Painted" and the y-axis labeled "Amount of Money Earned".
Option A shows a line going from the point (0, 60) to the point (3, 0). This line does not accurately represent the relationship between the number of rooms painted and the amount of money earned. The line seems to indicate that the painter earns no money for painting 3 rooms, which is not true.
Option B shows a line going from the point (0, 60) to the point (3, 120). This line accurately represents the relationship between the number of rooms painted and the amount of money earned. The painter earns $60 for supplies and an additional $20 for each room painted, so for 3 rooms painted, the painter earns a total of $120.
Option C shows a line going from the point (0, -60) to the point (3, 0). This line does not accurately represent the relationship between the number of rooms painted and the amount of money earned. The line seems to indicate that the painter starts with a debt of $60, which is not true.
Option D shows a line going from the point (0, -60) to the point (3, -120). This line does not accurately represent the relationship between the number of rooms painted and the amount of money earned. The line seems to indicate that the painter loses money for each room painted, which is not true.
Therefore, the correct answer is option B, which shows a line going from the point (0, 60) to the point (3, 120).
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The pythagorean theorem applies to what kind of triangle?.
Answer:
Right angled triangle
Step-by-step explanation:
Right angled triangle has angle of 90degree
Answer:
Step-by-step explanation:
It applies only to a right angled triangle.
How to multiply 28 and 36 using set of steps
Answer:
Either do 28+28+28, etc. 38 times, or follow the diagram I attached.
If you want to know more about what I did in the attachment, just ask <3
Answer:
Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.
Step-by-step explanation:
a university administrator wants to conduct a survey of students to examine textbook costs. the university has eight colleges (business, liberal arts, engineering, etc.) so the administrator decides to sample 50 students from each college. this is an example of what type of sampling method?
A random sample is then drawn from each stratum using the stratified sampling approach, which divides the population into subgroups (strata) depending on certain criteria (stratum).
The university's student body serves as the population in this situation, while the eight schools serve as the subgroups (business, liberal arts, engineering, etc.).
The administrator can reach conclusions regarding the cost of textbooks for each institution by selecting a sample of 50 students from each college to make sure the sample is representative of the varied student body.
This approach is helpful when a population is divided into multiple subgroups and the researcher wants to make sure that the sample fairly reflects each segment.
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how is 2/3 equal 66.6? show your work!
Answer:
Step-by-step explanation:
Dividing 3 into 2 results in the infinite (repeating) decimal fraction 0.6666....
0 . 6
3 / 20
18
------------
20
and so on: this pattern repeats itself indefinitely
Question #16: Suppose you have a bag containing 30 marbles. If the
probability of drawing a black marble is 50%, how many black marbles are
in the bag? *
15
2.
20
18
Pick all the correct statements from below. It is possible to have x
2
dx=0, ever when a pro 0 . ∥v
r
Av<0, then the matrix A rotates the vectore by moie than 90
∘
. The matrix B
2
AB is positive dehuite if A is pesitive thethite If the trace of a matik is zero, then it must be a singtalar matik. A rquare matrix and liss transpose both have the salle set of eheetwatiess A real shuare matix lias only real ehenvalues. Consider a matrix A∈R
6×8
whose rank is 4. Pick up the correct statements from the following. The dimension of the row space is 4. The dimension of the null space of A is 2 . The dimension of the left null-space is 4. Every element in the row space is mapped to a unique element in the column space by the linear transformation given by A. The dimension of the null space of A is 4.
The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.
the correct statements from the options provided:
1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.
Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.
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please help asap!!!!!! this is due soon
Charles is thinking about buying a car for $18,500. The table below shows the projected value of two different cars after owning it for 'x' years:
Car A
# of years (x)
1
2
3
values f(x)
17,390
16,346.60
15,365.80
Part A (1 pt): Circle one. The function of Car A is LINEAR or EXPONENTIAL.
Part B: (2 pt) Create a function to describe the value. f(x) =
Part C: (2 pt) When x = 9, what is the value of f(x)? (Show your work)
Car B # of years (x)
1
2
3
values of g(x)
17,750
17,000
16,250
Part A (1 pt): Circle one. The function of Car B is LINEAR or EXPONENTIAL.
Part B: (2 pt) Create a function to describe the value. g(x) =
Part C: (2 pt) When x = 9, what is the value of g(x)? (Show your work)
For Car A, we have that:
a. The function is exponential.
b. The definition of the function is: \(y = 18500(0.94)^x\)
c. When x = 9, the numeric value of the function is given as follows: 10,600.
For Car B, we have that:
a. The function is linear.
b. The definition of the function is: y = -750x + 18500.
c. When x = 9, the numeric value of the function is given as follows: 11,750.
Exponential functionThe general format of an exponential function is presented as follows:
y = ab^x.
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.For Car A, the function is exponential, as the rate of change is a constant quotient, as follows:
b = 16346.60/17390 = 15365.80/16345.60 = 0.94.
Hence:
\(y = a(0.94)^x\)
The initial value is calculated as follows:
a = 17390/0.94
a = 18500.
Hence the function is:
\(y = 18500(0.94)^x\)
The numeric value at x = 9 is given as follows:
\(y = 18500(0.94)^9 = 10,600\)
Linear functionA linear function has the general format given as follows:
y = mx + b.
In which the parameters are explained as follows:
m is the slope, which is the difference between consecutive terms.b is the intercept, which is the value of the function when x = 0.For Car B, the function is linear, as the difference between consecutive terms is the same, as follows:
m = 17000 - 17750 = 16250 - 17000 = -750.
Hence the intercept is:
b = 17750 + 750 = 18500.
Then the function is:
y = -750x + 18500.
The numeric value at x = 9 is given as follows:
y = -750(9) + 18500 = 11,750.
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Solve the linear system of equations
3x+2y=7
-3x+4y=5
X=
Y=
Is the relation a function?
{(-6, 3), (-1,0), (2, 4), (-1, -7), (5, 2)}
Answer:
It is not a function
Step-by-step explanation:
It is not a function because the domain -1 repeats itself.
Domain: x axis number
❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️Pls hurry I’ll give brailiest ❗️❗️❗️❗️❗️❗️❗️❗️
Answer: 4 black marbles, 3 blue, 2 green, and one red.
Step-by-step explanation:
john swims 5/12 of a mile in 3/8 of an hour. What distance, in miles, does john swims in an hour?
A.) 1 5/9
B.)15/96
C.)5/20
D.)1 5/12
Answer:
1 1/9 miles
Step-by-step explanation:
If john swims 5/12 of a mile in 3/8 of an hour, then;
5/12 miles = 3/8 hours
TO get the number of miles he swims in an hour, we will say;
x miles = 1 hour
Equating both expressions
5/12 miles = 3/8 hours
x miles = 1 hour
Cross multiply
3/8 x = 5/12
3x/8 = 5/12
3x * 12 = 5 * 8
36x = 40
x = 40/36
x = 10/9
x = 1 1/9
The amount he swims in an hour is 1 1/9 miles
Please help I’ll give brainliest