Answer:
Step-by-step explanation:
It is non-linear. A linear function can be written in the form y = mx + b
In regards to loans, choose which one of the following is not a factor that influences interest rates.
Responses
Collaterall
Credit History
Inflation
Number of Children
Answer: The factor that does not influence interest rates in regards to loans is "Number of Children". The other options, collateral, credit history, and inflation, can all have an impact on interest rates. Collateral refers to the assets that a borrower pledges as security for the loan, and the value of these assets can affect the interest rate. Credit history refers to a borrower's past performance in repaying debts, which can affect their perceived risk and therefore the interest rate they are offered. Inflation refers to the general increase in prices over time, and can affect interest rates because lenders will want to charge a rate that compensates them for the loss of purchasing power due to inflation. However, the number of children a borrower has is not a factor that lenders consider when setting interest rates.
Step-by-step explanation:
What is the derivative of the function
f(x) = cos(x²-x)?
Select one:
a. 3(2x-1) cos(x2-x) sin(x2-x)
b. -3(2x-1) cos² (x² - x) sin(x² - x)
c. -3(2x-1) cos(x²-x)
d. -3cos² (x²-x)
The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)
To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.
The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.
In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.
The derivative of the outer function cos(u) is -sin(u).
To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.
Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.
Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:
df/dx = \(-sin(x^{2} - x) * (2x - 1)\)
Simplifying, we have:
df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)
Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).
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a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?
Answer:
20
Step-by-step explanation:
Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.
And 18+3... 21, that is smaller than 21.
If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. y + 2.3 = 0.45x
Answer:
(0,-2.3) or (5.111,0)
Step-by-step explanation:
please answer question
Answer:
the answer is B............
We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9 inch by 9 inch square. The volume in cubic inches of the open-top box is a function of the side length in inches of the square cutouts
The volume of the open-top box is given by the function V(x) = x (81 - 36x + 4x²).
To compute the volume of the box, we need to use the formula for the volume of a rectangular box, which is:
Volume = length x width x height.
In this case, the length and the width of the box are given by:
Length = 9 - 2x
Width = 9 - 2x
The height of the box is equal to the length of the square cutouts, which is x.
Therefore, the volume of the box is:
Volume = length x width x height
Volume = (9 - 2x) (9 - 2x) x = x (81 - 36x + 4x²) cubic inches.
Thus, the volume of the open-top box is given by the function V(x) = x (81 - 36x + 4x²).
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Suppose that you draw two cards from a well-shuffled deck of 52 playing cards without replacement. What is the probability that the second card is an ace, given that the first card is an ace?.
Probability that the second card is an ace, given that the first card is an ace is 1/ 221
Without replacement means drawing the card first but not putting back to the deck and then drawing again.
Total number of cards in a deck = 52
Number of an ace in whole deck = 4
let event of getting an ace in first draw be A
and event of getting an ace in second draw be B
P(A) = 4 / 52 = 1 /13
drawing without replacement
P(B) = 3 / 51 = 1 / 17
Probability that second card is an ace given that first card is an ace is
P(A).P(B) =
1/13 × 1/ 17 = 1 / 221
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what is limit definition of a derivative?
The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.
The limit definition of a derivative is expressed as follows:
\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)
Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.
The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.
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The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for walk-in customers. Approximately how many walk-in customers waited at least 6 minutes? (Note the position of the labels on the x-axis — the first column is the number of customers who waited 1 minute and the last column is the number of customers who waited 10 minutes)
The number of people who waited at least 6 minutes is given as follows:
50 people.
What is shown by the histogram?The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.
The desired outcomes for this problem are given as follows:
Between 6 and 7 minutes: 20 people.Between 7 and 8 minutes: 15 people.Between 8 and 9 minutes: 10 people.Between 9 and 10 minutes: 5 people.Hence the number of people who waited at least 6 minutes is given as follows:
20 + 15 + 10 + 5 = 50 people.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
V = πr²h = π · 8²· 28≈ 5629.73404 Rounded to 5629.73
Step-by-step explanation:
It does say "which of the following is the best approximation of the volume"
Its might be weird but I would go with b 5626.9 m³.
Hope this helps! <3
Answer:
5626.88 square meters
Step-by-step explanation:
Hye there!
The formula for the area of a cylinder is:
\(A = \pi *r^{2} *h\)
Where r is the radius and h is the height
Now we input the values into the equation and solve
\(A=3.14*8^2*28\\3.14*64*28\\5626.88\)
So the area of this cylinder is 5626.88 square meters
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy.
The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy is \(e^{\frac{5x^2}{2} }\) .
The slope of the curve is 5xy.
Therefore:
dy/dx = 5xy
dy/y = (5x)dx
Then,
The integrate both sides giving us
ln(y) = (15x²)/2 + C
Since, the curve passes through (0,1) .
Therefore, x=0 and y=1 for solving 2
ln(1) = 0/2 + C
0 = 0 + C
⇒ C = 0
We now,
substitute C back in and isolate y
ln(y) = (15x²)/2
⇒ y = e(15x²) / 2
Therefore, The answer is y = \(e^{\frac{5x^2}{2} }\)
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.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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You have just inherited $150,261 from a trust that has matured. you would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. determine, from the given information, the amount of the annual withdrawals. round to the nearest cent. a. $16,578.03 c. $15,978.10 b. $162,851.31 d. $15,575.98
The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.
What is the amount?The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P ia the annual payment
PV is the present value = $150,261
r is the rate of intreast = 9.1% = 0.091
n is the time period= 20
The formula for the annual payment is found as;
\(\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437\)
Hence the amount of the annual withdrawals will be $16,574.24.
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18 A student has 273 matchsticks with which to make a pattern of nested triangles. Fig. 18.9 shows the first three triangles. Fig. 18.9 If all the matchsticks are used, how many matchsticks will each side of the biggest triangle contain? 18 A student has 273 matchsticks with which to make a pattern of nested triangles . Fig . 18.9 shows the first three triangles . Fig . 18.9 If all the matchsticks are used , how many matchsticks will each side of the biggest triangle contain ?
The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks
How to find the biggest side of a triangle?We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.
Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137
Thus, the largest side will have at least 137 matchsticks
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China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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You flip a 3 coins 50 times, and flipping 3 tails occurs 6 times, flipping 3 heads occurs 7 times.
A. What is the theoretical probability that you flip 3 heads
B.What is the theoretical probability that you flip leas than 3 heads
Hello!
Answer:
A. The theoretical probability of flipping 3 heads on one flip of three coins is (1/2) * (1/2) * (1/2) = 1/8. Since you flipped three heads 7 times out of 50, the experimental probability of flipping 3 heads is 7/50.
B. To calculate the theoretical probability of flipping less than 3 heads, we can calculate the probability of flipping 0, 1, or 2 heads and add them together. The probability of flipping 0 heads is (1/2) * (1/2) * (1/2) = 1/8, since all three coins must come up tails. The probability of flipping 1 head is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get one head (HTT, THT, TTH). The probability of flipping 2 heads is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get two heads (HHT, HTH, THH). Therefore, the theoretical probability of flipping less than 3 heads is:
1/8 + 3/8 + 3/8 = 7/8.
So the theoretical probability of flipping less than 3 heads is 7/8.
Please answer it now in two minutes
Answer:
∠ I ≈ 60.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan I = \(\frac{opposite}{adjacent}\) = \(\frac{HG}{GI}\) = \(\frac{7}{4}\) , thus
∠ I = \(tan^{-1}\) (\(\frac{7}{4}\) ) ≈ 60.3° ( to the nearest tenth )
the answer is 10 by root 65 so the answer is 10
The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the
equations?
A. y=3x-2
B.-x+1
C.y=x-1
D.y=2x+3
Answer:
We conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
Step-by-step explanation:
Given
The point (-2, 3)Checking option A
Given the equation
y = 3x-2
substitute x = -2 and y = 3
3 = 3(-2) - 2
3 = -6 - 2
3 = -8
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y = 3x-2.
Checking option B
Given the equation
y = -x+1
substitute x = -2 and y = 3
3 = -(-2)+1
3 = 2+1
3 = 3
TRUE!
L.H.S = R.H.S
Thus,
The point (-2, 3) satisfies the equation y = -x+1.
Checking option C
Given the equation
y=x-1
substitute x = -2 and y = 3
3 = -2-1
3 = -3
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=x-1.
Checking option D
Given the equation
y=2x+3
substitute x = -2 and y = 3
3 = 2(-2)+3
3 = -4+3
3 = -1
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=2x+3.
Conclusion:
Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
I need helpppp
Mrs. Trimble bought 3 items at Target
that were the following prices: $12.99,
$3.99, and $14.49. If the sales tax is
7%, how much did she pay the cashier?
Answer:
10 dollars
Step-by-step explanation:
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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Which questions can the manager ask that will result in discrete quantitative data? check all that apply. what movie did you just see? what genre of movie is your favorite? how much did you spend at the movies today? did you order anything from the concession stand?
The question that will result in discrete quantitative data is:
how much did you spend at the movies today?
Which questions can the manager ask that will result in discrete quantitative data?Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").
So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.
"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.
Now, the correct option is "how much did you spend at the movies today?".
Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.
Thus, we conclude that this question is the correct option.
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Answer:
C) How much did you spend at the movies today?
Step-by-step explanation:
edge 2023
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Help Pleaseeee. Find the hypotenuse.
I don't because I can't see
Which of the following would not be a possible function for f (x) and g(x) such that f of g of x is equal to 6 over the quantity x squared end quantity plus 3
The equations that could represent f(x) and g(x) are f(x) = 6/x + 3 and g(x) = x
How to determine the possible equations of the functions?From the question, the equation of the function is given as
f of g of x is equal to 6 over the quantity x squared end quantity plus 3
Rewrite properly
So, we have
f(g(x)) = 6/x² + 3
The above equation can be rewitten as
f(g(x)) = 6/g(x)² + 3
This means that
g(x) = x
Remove the occurrence of g(x) from the equation f(g(x)) = 6/g(x)² + 3
So, we have
f(x) = 6/x + 3
Hence, the possible equations are f(x) = 6/x + 3 and g(x) = x
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A chef uses the following rule for cooking food on a spit: ‘Allow 20 minutes for each
kilogram weight and then add an extra 20 minutes.’ If the chef forgot to weigh the food
before cooking it but knew that it had taken 3 hours to cook, calculate how much it
weighed.
By solving a linear equation, it can be calculated that
The chef weighed x kg of food
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expression by connecting the two algebraic expression by an equal to sign.
A one degree equation is known as linear equation.
Here a linear equation needs to be solved
Let the chef weighed x kg of food
A chef uses the following rule for cooking food on a spit ‘Allow 20 minutes for each kilogram weight and then add an extra 20 minutes
Total time taken = 20x +20
By the problem,
20x + 20 = 180
20x = 180 - 20
20x = 160
x = \(\frac{160}{20}\)
x = 8 kg
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What is the median of this Box and Whisker plot? A) 40 B) 48.5 C) 37 D) 53.5
Answer:
40
Step-by-step explanation:
The middle dot of the box is the median.
Answer:
the median is 44.75
Step-by-step explanation:
first i add up all the numbers
40+37+48.5+53.5=175
then i divide them by how 4
179 divided by 4=44.75
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
Solutions below.
Step-by-step explanation:
This Question involves the concept of Function Substitution.
Function SubstitutionFunction Substitution - As the name suggests, it is about substituting an input value (normally x) to find the value of y , or f(x) which is the range of the value.
Example: f(x) = 98x , f(2) = 98(2) = 196
ApplicationWe are given the following function:
\(p(t) = - 16 {t}^{2} + 1638\)
a) This part is asking us to find the height of the object when t = 2, which is the same as finding the value of P(2).
P(2) =
\( - 16 {(2)}^{2} + 1638 \\ = - 64 + 1638 \\ = 1574\)
Therefore at t = 2 seconds, the object is 1,574m above the river.
b) This part is asking us to find the height of the object when t = 6, which is the same as finding the value of P(6).
P(6) =
\( - 16 {(6)}^{2} + 1638 \\ = - 16(36) + 1638 \\ = - 576 + 1638 \\ = 1062\)
Therefore at t = 6 seconds, the object is 1,062m above the river.
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 I really need this to not get behind in my math class.
I would award more points but I fear people are just gonna answer with no actual answer and just for points….
Answer:
1. 12x+19
2.11x+16
3.54
4.3x+5x+8
Step-by-step explanation:
I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me
Under her cell phone plan, Ximena pays a flat cost of $44.50 per month and $4 per
gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data
can she use while staying within her budget?
If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget.
Given,
The flat cost of cell phone plan = $44.50 per month
Cost per gigabyte =$4
She wants to keep her bill amount = $50.10
Consider the number of gigabyte used as x
Then the linear inequality will become
44.50+4x≤50.10
4x≤50.10-44.50
4x≤5.6
x≤1.4
Hence, If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget
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