Answer:
y = -8x + 30
Step-by-step explanation:
Using Point - Slope Form:
\(m= \frac{6+2}{3-4}=\frac{8}{-1}=-8\)
Point (3,6) will be used.
\(y-y_1=m(x-x_1)\rightarrow y-6=-8(x-3)\)
Convert to slope intercept:
\(y-6=-8(x-3)\\\\y-6=-8x+24\\\\y-6+6=-8x+24+6\\\\\boxed{y=-8x+30}\)
Hope this helps.
when a has linearly independent columns and a = qr is a qr factorization, then the columns of q form an orthonormal basis for the column space of a.
The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).
What is meant by QR factorization?A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.
A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.
A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.
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(10.05 MC)
If cos
-4/7, what are the values of sin and tan O? (2 points)
33
33
sin = square root of 33/7 :tan square root of 33/7
sin = 3/7 : tan = square root of 33
sin = 33/7 ; tan = square root of 33/7
sin = square root of 33/7 tan © = square root of 33/4
according to question the values of sin(θ) and tan(θ) are:
sin(θ) = sqrt(33)/7
tan(θ) = -sqrt(33)/4
Given that cos(θ) = -4/7, we can use the Pythagorean identity to find sin(θ):
sin²(θ) + cos²(θ) = 1
sin²(θ) = 1 - cos²(θ)
sin(θ) = ± sqrt(1 - cos²(θ))
Since the angle θ is in the second quadrant (cosine is negative and sine is positive), we choose the positive value for sin(θ):
sin(θ) = sqrt(1 - cos²(θ))
sin(θ) = sqrt(1 - (-4/7)²)
sin(θ) = sqrt(1 - 16/49)
sin(θ) = sqrt(33/49)
sin(θ) = sqrt(33)/7
Now, we can use the definition of tangent to find tan(θ):
tan(θ) = sin(θ) / cos(θ)
Substituting the values we have:
tan(θ) = (sqrt(33)/7) / (-4/7)
tan(θ) = -sqrt(33)/4
what is quadrant?
In geometry, a quadrant is one of the four regions into which a coordinate plane is divided by the x-axis and y-axis. Each quadrant is named based on the signs of the coordinates in that region.
The four quadrants are:
First quadrant: It is located in the upper-right part of the coordinate plane, where both x and y coordinates are positive.
Second quadrant: It is located in the upper-left part of the coordinate plane, where x-coordinates are negative and y-coordinates are positive.
Third quadrant: It is located in the lower-left part of the coordinate plane, where both x and y coordinates are negative.
Fourth quadrant: It is located in the lower-right part of the coordinate plane, where x-coordinates are positive and y-coordinates are negative.
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What is the value of the expression below when y=7 y^2 +4y+3
Answer:
I believe that the value of the exprexpression is 80.
Step-by-step explanation:
Substitute 7 for every y variable.
y^2 + 4y + 3=
7^2 + 4(7) + 3=
49 + 28 + 3=
80
An airplane is currently at an elevation of 8500 feet above sea level. The airplane is losing elevation at a rate of 150 feet per minute to land. Which
equation represents the elevation of the plane, y, after m minutes
Oy=150-8500m
O y=8500m-150
O y=8500-150m
O y=150m-8500
Answer:the answer is y=8500-150m
Step-by-step explanation:I say this because 150 is the amount of feet that it drops per minute m stands for minute so you would be multiplying 150 by whatever m would be.
In ΔABC, a = 300 inches, ∠B=45° and ∠C=41°. Find the length of c, to the nearest 10th of an inch.
Answer:
197.3
Step-by-step explanation:
a. Write a formula for the area A
of a triangle.
b. Solve the formula for b.
c. Use the new formula to find the
base of the triangle.
A = 36 mm2
h = 6 mm
b
Answer:
A = 1/2 b * h
b = 2A / h
b = 12
Step-by-step explanation:
Remark
The formula starts out as
A = 1/2 * b * h
You want to rearrange it to show b by itself.
Formula
Multiply by 2
2A = b * h
Divide by h
2A/h = b
Part C
b = 2A / h
A = 36 mm^2
h = 6 mm
b = 2*36 / 6
b = 72 / 6
b = 12 mm
Tom is exchanging money for his trip to india. the exchange rate of us dollars to indian rupees is 1:45.897. tom needs 11,550 rupees. the currency exchange service he is using charges a fee of 7.25% after the exchange is made. how many us dollars will it cost tom to get the rupees he wants? round to the nearest dollar. a. $235 b. $252 c. $263 d. $270
The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
How to calculate the percentage?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
To calculate the percentage part of number, multiply it with the original number and divide with 100.
Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,
\(r=\dfrac{1}{45.897}\)
Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,
\(n=\dfrac{11550}{45.897}\\n=251.65\)
The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,
\(n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270\)
Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
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40000$ consumer loan will be paid in monthly equal installment over
2years monthly payments , if the interest rate is 15.8% what will
be the amount?
Explain the answer in details
A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.
To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
M = Monthly payment
P = Principal amount
r = Monthly interest rate
n = Number of monthly payments
In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).
First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.
Next, we substitute the values into the formula:
M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)
Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.
To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.
Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.
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As a point on a graph moves upward and leftward the value of its x coordinate _ and the value of its y coordinate _.
1.rises;rises
2.rises;falls
3.falls;rises
4.falls;falls
Simplify each complex fraction.
[ 3 - (1/2) ] / (7/6)
The complex fraction when simplified is 15/7
Simplifying the complex fractionfrom the question, we have the following parameters that can be used in our computation:
[3 - (1/2)]/(7/6)
Evaluate the difference
So, we have
[5/2]/(7/6)
Express as products
This gives
5/2 * 6/7
So, we have
15/7
Hence, the fraction is 15/7
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What is the answer for this equation |v + 4| ≤ 10
Step 1. The expression that we have is:
\(|v+4|\leq10\)And we need to solve for v.
Step 2. To solve this problem we use the following rule for absolute value expressions:
\(\begin{gathered} |x|\leq b \\ \downarrow \\ -b\leq x\leq b \end{gathered}\)In our case:
\(\begin{gathered} \lvert v+4\rvert\leqslant10 \\ \downarrow \\ -10\leq v+4\leqslant10 \end{gathered}\)Step 3. The final step to solve is to subtract 4 to all parts of the expression:
\(\begin{gathered} -10\leqslant v+4\leqslant10 \\ \downarrow \\ -10-4\leqslant v+4-4\leqslant10-4 \\ \downarrow \\ \boxed{-14\leqslant v\leqslant6} \end{gathered}\)Answer:
\(\boxed{-14\leqslant v\leqslant6}\)consider the following. f(x, y) = x/y, p(6, 1), u = 3 5 i 4 5 j (a) find the gradient of f.
To find the gradient of the function f(x, y) = x/y, we need to calculate the partial derivatives of f with respect to x and y.
Calculate the partial derivative with respect to x: ∂f/∂x. To do this, differentiate the function f(x, y) = x/y with respect to x, treating y as a constant. This gives ∂f/∂x = 1/y.
Calculate the partial derivative with respect to y: ∂f/∂y. To do this, differentiate the function f(x, y) = x/y with respect to y, treating x as a constant. This gives ∂f/∂y = -x/y^2.
Write the gradient vector: The gradient of f is the vector formed by the partial derivatives ∂f/∂x and ∂f/∂y. So, the gradient vector ∇f(x, y) = (∂f/∂x, ∂f/∂y) = (1/y, -x/y^2).
Evaluate the gradient at point P(6, 1): Substitute x = 6 and y = 1 into the gradient vector ∇f(x, y). This gives ∇f(6, 1) = (1/1, -6/1^2) = (1, -6).
Multiply the gradient vector by the given vector u: Multiply the gradient vector ∇f(6, 1) = (1, -6) by the vector u = 3i + 5j. This gives (1 * 3) + (-6 * 5) = 3 - 30 = -27.
The result of the dot product is the directional derivative of f in the direction of vector u at point P(6, 1). Therefore, the gradient of f at point P is -27.
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30 children each sold 20 item for the fund vaised. each child each earned $100 for the school. How much money did the school collect.
please show working
Answer:
$3,000
Step-by-step explanation:
30 children each earned $100
so
\(30 *100 = 3000\)
so the school collected $3,000
Solve for x if 523x = 523.
please
Answer:
x = 1
Step-by-step explanation:
523x = 523
Divide each side by 523 to get the x alone
523/523 = 1
Answer:
x=1
Step-by-step explanation:
To get x by itself you need to divide 523 by the other side of the equal sign so divide 523 by 523 which is 1.
13
The table below shows a linear
relationship between x and y.
Which of the following is the rate of
change and the y-intercept?
A Rate of change: 15; y-intercept: 100
B Rate of change: 15; y-intercept: 0
C Rate of change: 20; y-intercept: 100
D Rate of change: 20; y-Intercept: 0
Answer:
the answeis c
Step-by-step explanation:
hoped that helped
The total cost of textbooks for the term was collected from 36 students. Create a histogram for this data. $140 $160 $160 $165 $180 $220 $235 $240 $250 $260 $280 $285 $285 $285 $290 $300 $300 $305 $310 $310 $315 $315 $320 $320 $330 $340 $345 $350 $355 $360 $360 $380 $395 $420 $460 $46
A Histogram is a graph so you will have to graph it yourself, however, ill tell you the values / amount of each of them.
1 140 2 160 1 165 1 180 1 220 1 235 1 240 1 250 1 260
1 280 3 285 1 290 2 300 1 305 2 310 2 315 2 320 1 330
1 340 1 345 1 350 1 355 2 360 1 380 1 395 1 420 2 460
I hope this helps :)
Feel free to rate 5 stars! <33
Instructions: Based on the scale of measurement for the data, identify if a test is parametric or nonparametric.
A researcher measures the proportion of schizophrenic patients born in each season.
A researcher measures the average age that schizophrenia is diagnosed among male and female patients.
A researcher tests whether frequency of Internet use and social interaction are independent.
A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.
Please provide reasoning for your answer.
It is important to consider the scale of measurement and the specific characteristics of the variables when selecting an appropriate statistical test.The tests can be classified as follows:
1. A researcher measures the proportion of schizophrenic patients born in each season.
This test is nonparametric. The scale of measurement is categorical, as the seasons (spring, summer, fall, winter) represent distinct categories rather than continuous numerical values. Therefore, parametric assumptions, such as normality and equal variances, do not apply to this measurement.
2. A researcher measures the average age that schizophrenia is diagnosed among male and female patients.
This test is parametric. The scale of measurement is continuous and numerical (age in years). Parametric tests, such as t-tests or ANOVA, can be applied when working with continuous data, assuming the data meet the required assumptions (e.g., normality, independence, and equal variances).
3. A researcher tests whether frequency of Internet use and social interaction are independent.
This test can be both parametric or nonparametric, depending on the measurement scale and the specific statistical test used. If the variables are measured on a nominal or ordinal scale, nonparametric tests, such as the chi-square test, would be appropriate. If the variables are measured on a continuous scale, parametric tests, such as logistic regression, could be employed.
4. A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.
This test is parametric. The scale of measurement is continuous (time in seconds), and parametric tests, such as t-tests or ANOVA, can be utilized to compare means or variances, assuming the required assumptions are met.
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a percentage distribution is given below for the size of families in one u.s. city. size percentage 2 42.8 3 21.1 4 19.2 5 11.6 6 3.3 7 2.0 a family is selected at random. find the probability that the size of the family is 4 or more. round your result to three decimal places.
The probability that the size of the family is 4 or more rounded to three decimal places is 0.361.
Given that families are selected at random, to find the probability that the size of family 4 we need to select and add those probabilities whose family size is more than and equal to 4.
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7)
P(X ≥ 4) = 19.2 + 11.6 + 3.3 + 2.0
P(X ≥ 4) = 36.1
Since we need the answer rounded off to three decimal places, we can divide the answer by 100 which will give the final answer which is 0.361.
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Which of the following shows the correct evaluation for the exponential expression ( look at the picture)
2837.12 X 1823.11 - 231.51
Answer:
im pretty sure it is 5172150.3332
i hope some one else says its right
Step-by-step explanation:
Answer:
the answer is indeed 5172150.3
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeee
Answer:
Y:(0,.4), x: (.3, 0)
Step-by-step explanation:
The y intercept is where the line crosses the y axis which is (0,.4).
The x intercept is where the line crosses the x axis which is (.3,0)
What is the No information rate in statistics?
The No Information Rate (NIR) is a measure of the accuracy of a classification model that predicts the most frequent class as the outcome for all cases.
In statistics, the No Information Rate (NIR) is a measure of the accuracy of a classification model that predicts the most frequent class as the outcome for all cases. It represents the accuracy rate that can be achieved by simply guessing the most frequent outcome without using any predictive model or variable.
The NIR is commonly used as a benchmark for evaluating the performance of classification models, as any model that performs worse than the NIR is considered to be poorly performing. Conversely, a model that performs better than the NIR is considered to have some predictive power beyond simply guessing the most frequent outcome.
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if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
It is true that if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function.
What do you mean by the term matrix?Without further explanation, matrices represent linear maps and enable explicit computations in linear algebra. In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or a property of such an object. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.
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carlo travels for 3 hours on the highway. his average speed is 55 mi/h. how many miles does he travel?
Answer:
165 miles
Step-by-step explanation:
Distance = rate x time
Distance = 55(3)
Distance = 165 miles
Answer:
distance = 165 miles
Step-by-step explanation:
We know that d=rt
Distance = rate * time
distance = 55 miles / hour * 3 hours
distance = 165 miles
please help me i need help i will give brainly
Answer:
38 m
Step-by-step explanation:
Set up as proportion and cross multiply to solve:
x/57 = 18.9/28
x = 38.475
Rounded this would be 38 m.
Write a slope-intercept form equation for a line that passes through (0, 4) and (2, -2).
Answer:
y=-3x+4
Step-by-step explanation:
....
The perimeter of a rectangle is 37cm find X
Which of the following theorems states that when the chords intersect wih each other inside the circle the products of their segments are equal
A. Two intersecting chords
B. Secant-secant segments
C. Tangent - secant segments
D. Two intersecting secant
Answer:
Two intersecting chords is the correct answer
thank you
Answer:
intersecting chords theorem
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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How many people must attend the third show so that the average attendance per show is 3000?
how many people need to attend the third show?