Answer:
f(x) =x2 3x 5?
c = 5
therefore the solpe = 5
Solve the system using substitution (1 point)
x + y = 8
y = 3x
(A). (4, 12)
(B). (2, 6)
(C). (1/2, 3/2)
(D). (-4, -12)
The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.
To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.
Given the system:
x + y = 8
y = 3x
Substituting the value of y from the second equation into the first equation, we have:
x + (3x) = 8
4x = 8
x = 2
Now, substitute the value of x into the second equation to solve for y:
y = 3(2)
y = 6
Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.
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help me please. Very much appreciated
Answer:
\(76m {}^{2} \)
Answer:
76Step-by-step explanation:
Divide the shape into two shape A and B
then you find the value of the missing sides
Area of Shape A= l×b
Area of Shape A= 4×9
Area of Shape A= 36
Area of Shape B= l×b
Area of Shape B= 8×5
Area of Shape B= 40
Then you add shape a and b= 36+ 40
= 76m
how to find radius of a circle with an area of 50.24 square inches
Answer:
The radius is 4 m.
Step-by-step explanation:
The area of a circle with radius r is
A = π ⋅ r 2 ⇒ r = √ A π
Where A = 50.24
Hence
r = √ 50.24 π = √ 16 = 4 m
[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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What is the value of (f+g)(5)if f(x)=7x-2 and g(x)=9x-4?
Answer:
74
Step-by-step explanation:
All you have to do it first add f(x)+ g(x) and then plug in x=5.
(f+g) = f(x) + g(x)
= (7x- 2) + (9x-4)
= 7x - 2 + 9x - 4
= 16x - 6
(f + g)(5) = 16(5) - 6
= 80 - 6
= 74
Suppose that pi(x) = F(x) for some strictly increasing cdf F. Explain why a monotone transformation of x exists such that the logistic regression model holds. Generalize to alternative link functions.
A monotone transformation of x exists such that the logistic regression model holds for some strictly increasing cdf because of a theorem known as the Invariance Property of the Maximum Likelihood Estimators.
The logistic regression model assumes that the log-odds of an event occurring are a linear function of the predictors. Mathematically, it can be expressed as:
logit(P(Y=1)) = β0 + β1x1 + β2x2 + ... + βpxp
where Y is the binary response variable, x1, x2, ..., xp are the predictor variables, and β0, β1, β2, ..., βp are the parameters to be estimated.
Suppose pi(x) = F(x) for some strictly increasing cdf F. Then, we can define a new variable z as:
z = F(x)
Note that z is also a continuous variable that ranges from 0 to 1, just like the probabilities pi(x). Furthermore, since F is a strictly increasing function, z is also a strictly increasing function of x. Therefore, z can serve as a monotone transformation of x.
Now, let's consider the logistic regression model in terms of the new variable z:
logit(P(Y=1)) = β0 + β1z1 + β2z2 + ... + βpzp
where z1 = F(x1), z2 = F(x2), ..., zp = F(xp)
Note that the predictors in this model are the transformed variables z1, z2, ..., zp. Since z is a monotone transformation of x, the logistic regression model holds for the original variables x as well.
The above approach can be generalized to alternative link functions. For example, if we want to use a different link function g, we can define a new variable z as:
z = g(F(x))
Then, the logistic regression model can be expressed in terms of z as:
g(P(Y=1)) = β0 + β1z1 + β2z2 + ... + βpzp
where z1 = g(F(x1)), z2 = g(F(x2)), ..., zp = g(F(xp))
Again, since z is a monotone transformation of x, this model holds for the original variables x as well.
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used to measure the center of a set of values. good for summarizing values that are generally pretty similar to each other.
Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.
What is mean and its function?Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.
The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.
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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.
A right triangle has a hypotenuse of length 10 centimeters. If one angle is 40°, find the length of each leg.
If a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter
The hypotenuse of the right triangle = 10 centimeter
The measure of angle = 40 degree
Here we have to use the trigonometric functions
sin θ = Opposite side / Hypotenuse
Substitute the values in the equation
sin 40 = Opposite side / 10
Opposite side = 10 × sin 40
= 6.43 centimeter
Similarly
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos 40 = Adjacent side / 10
Adjacent side = 10 × cos40
= 7.66 centimeter
Hence, if a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter
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How many seconds did it take the paper airplane to reach the ground?
Answer:
46 seconds if I am correct.
Step-by-step explanation:
Describe the difference between an addition problem and a sum.
Answer:
The addition problem is the equation of which you have to solve. The sum is the answer to that problem...
Answer:
an addition problem is an entire equation, the blueprint of something. it shows how you got your answer and what you had to do to find it. a sum is like the final product, you use the blueprints (the problem) to get the house (the sum) the sum is the result of everything you did to work out the problem
A and B, working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it?
Use the table below to determine whether f(x) could represent a linear function. If it could, write f(x) in the form f(x) = mx + b.
X
f(x)
0
3
1
0
23
3
6
Select the correct choice below and fill in any answer boxes in your choice.
OA. The values could represent the linear function f(x) =
(Use integers or fractions for any numbers in the expression.)
B. The function is not linear.
k
The values could represent the linear function f(x) =3x
How to determine if the function is linear or not?From the question, we have the following parameters that can be used in our computation:
x f(x)
0 0
1 3
2 6
From the above function, we can see that
As the values of the variable x increases by 1, the values of the variable y increases by 3 at a constant rate
This means that the table of values is a linear function, and the slope is
Slope = 3/1
Evaluate
Slope = 3
A linear equation is represented as
y = mx + b
Where
slope = m
b = y when x = 0
This means that
b = 0 and m = 3
So, we have
y = 3x + 0
Evaluate
y = 3x
Hence, the values are linear functions
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Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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Perpetual Inventory Using FIFO The following units of a particular item were available for sale during the calendar year: The firm maintains a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale, assuming the first-in, first-out method. Present the data in the form illustrated in Exhibit 3. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:
1. Identify the units sold and their respective costs:
- Start with the units available for sale at the beginning of the year.
- For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.
2. Calculate the cost of goods sold (COGS) for each sale:
- Multiply the number of units sold by their respective cost.
- This will give you the cost of goods sold for each sale.
3. Update the inventory balance after each sale:
- Subtract the units sold from the total units available for sale.
- Multiply the remaining units by their respective cost to get the ending inventory value.
Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
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Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0. R'(x) = 0.06x2 – 0.05x + 152 p(x) = 0
The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
Given that,
We have to find for the marginal revenue function, locate the demand function.
Remember that the income is zero if no things are sold:
R'(x) = 0.06x² - 0.05x + 152
p(x) is what.
We know that,
MR = dTR/dx = 0.06x² - 0.05x + 152
Integrating the marginal revenue function , we get total revenue function,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x
= (0.06x³)/3 - (0.05x²)/2 + 152 x
TR = 0.02 x³ - 0.025 x² + 152 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 152 x
P = ( 0.02 x³ - 0.025 x² + 152 x)/x
P = 0.02x² -0.025x + 152
Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
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Which is the next step in the following construction of a regular hexagon? (1 point)
O Connect A and B with a straightedge.
O Connect A and C with a straightedge.
O With compass setting the same as line segment PA, place the compass at P and draw
an arc above the diameter.
O With compass setting the same as line segment PA, place the compass at C and draw an arc that intersects the circle.
The next step in constructing a regular hexagon is With compass setting the same as line segment PA, place the compass at C and draw an arc that intersects the circle.
How to construct a regular hexagon?First set the compass width to be equal to that of the radius of the circle. This will give you the point A on the circle.
Using the same width, place the compass on point A and make an arc at point B. Use the same width to make an arc at C by placing the compass on B.
Then, to get to the next step, use the same width as segment PA which is the radius, and place the compass at C to draw another arc.
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A party flyer has a surface area of 88 square inches. If the length of the paper is 11 inches, wha tis the width in inches?
Answer:
the width is 8 inches
Step-by-step explanation:
area=length x width
88=11(w)
w=8
Answer:
8
Step-by-step explanation:
A flyer is the shape of a rectangle ad its area uses the formula A = l*w. Since the area is 88 and the length is 11 inches, then 88 = 11*w. Solve for w.
88/11 = 11w/11
8=w
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. sin(20°) = L N Over 8 cos(70°) = 8 Over L N tan(70°) = L N Over M N sin(20°) = 8 Over L N cos(70°) = L N Over 8
Answer:
Sin(20)=LN/8
Cos(70)=LN/8
Step-by-step explanation:
The correct trigonometric ratios that could be used to determine the length of LN are sin20° =LN/8 and cos70° =LN/80. Therefore, option A and E are the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the triangle LMN, ∠L=70°, ∠M=20° and LM= 8 units.
We know that sinθ= Opposite/Hypotenuse and cosθ=Adjacent/Hypotenuse
Here, sin20° =LN/8 and cos70° =LN/80
Therefore, option A and E are the correct answer.
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Identify the necessary and sufficient condition for two complex numbers a, b to have a real sum.
-a and b are multiplicative inverses (ab=1).
-a and b are complex conjugates.
-a and b are additive inverses (a=-b).
-a and b are purely imaginary (i.e. real multiplies of i).
Suppose α, β, γ, δ are real numbers. Consider the quantity
Q = (α +iβ)(γ +iδ) + (α -iβ)(γ -iδ).
-Q is real.
-Q is complex conjugate.
-Q is purely imaginary.
-Q has nonzero real and imaginary parts.
a and b are complex conjugates.
What are the complex numbers?
A complex number is a number of the form a + bi, where a and b are real numbers. A complex number is also known as a polynomial.
Here, we have
Given: For two complex numbers a, b to have a real sum.
Option1:
Let a = x + iy
b = 1/(x+iy)
ab = 1 is real but not any real value.
Hence, this option is rejected.
Option2:
Let a = x + iy
b = a* = x - iy
a + b = 2x is arbitary real.
Hence, this option is correct.
Option3:
Let a = x + iy
b = -a = -x - iy
a + b = 0 is not arbitrary real.
Hence, this option is not correct.
Option4:
a = ix, b = iy
a+b = i(x+y) is not real.
Hence, this option is not correct.
Hence, a and b are complex conjugates.
Q = (α +iβ)(γ +iδ) + (α -iβ)(γ -iδ).
Q = αγ -βδ + αγ - βδ + i(βγ + αδ - αδ - βγ)
Q = 2αγ - 2βδ is real.
Hence, Q is real.
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What is the area? Need help fast please
Greetings! Hope this helps!
Answer
A = 157
Explanation
3.14 x 10^2
3.14 x 100
314
314/2
157
Have a good day!
_______________
A brainliest would help tons! :D
I need help please, for both of them
Answer:
find the area of the rectangle in the middle....the two ends are half circles so just find the area of them put together as one circle and add the two areas together....good luck
Step-by-step explanation:
Answer:
Step-by-step explanation:
55
Which of the following shows an example of the commutative property of multiplication
2 x 3 = 3 x 2
Explanation:
The commutative property of multiplication says we can multiply any two numbers in any order we want. The general rule is a x b = b x a, where x represents the multiplication symbol. The 'a' and 'b' can be any two numbers you want.
Choice C shows an example of this. Either side simplifies to 6.
Another example would be 4 x 5 = 5 x 4 where both sides become 20.
If the translation of (x,y)->(x-5, y+2) was applied to the triangle ABC below, what
would be the coordinates for A' after the translation?
(0,4)
(0, -3)
(4,-7)
(-3,0)
\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
The coordinates of A' after the translation will be ~
\(\qquad \sf \dashrightarrow \: (x - 5,y + 2)\)
\(\qquad \sf \dashrightarrow \: (2- 5, - 2 + 2)\)
\(\qquad \sf \dashrightarrow \: ( - 3, 0)\)
Layson, Jane
Mark has a key ring with 10 similar keys. There are 3 gym locker keys, 2 car keys, I door key, and 4 toolbox keys. If Mark selects one key without looking, what is the probability he
selects a car key or door key?
The probability that Mark selects a car key or door key from the key ring is 0.3 or 30%.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory provides a framework for understanding random events and the laws of chance, and it is an important tool for modeling and simulating complex systems.
Calculating the probability that he selects a car key or door key :
In this context, we are asked to find the probability of Mark selecting a car key or door key from the key ring. To calculate this probability, we need to first determine the total number of keys on the key ring and then count the number of car keys and door keys.
Total number of keys = 10
Number of car keys = 2
Number of door keys = 1
The probability of selecting a car key or door key can be found by adding the probability of selecting a car key to the probability of selecting a door key. Since there is only one door key and two car keys, the probability of selecting a car key is higher, and we can simplify the calculation by finding the probability of selecting a car key and then adding the probability of selecting a door key that hasn't already been selected.
Probability of selecting a car key = 2/10 = 0.2
Probability of selecting a door key = 1/9 (since one key has already been selected) = 0.1111...
Therefore, the probability of Mark selecting a car key or door key from the key ring is 0.2 + 0.1111... ≈ 0.3 or 30%.
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consider the positive integers less than 1000. which of the following rules is used to find the number of positive integers less than 1000 that are divisible by either 7 or 11?
we can determine the number of positive integers less than 1000 that are divisible by either 7 or 11 without double counting.
The rule used to find the number of positive integers less than 1000 that are divisible by either 7 or 11 is the principle of inclusion-exclusion.
The principle of inclusion-exclusion allows us to calculate the total count of elements that satisfy at least one of multiple conditions. In this case, we want to find the count of positive integers less than 1000 that are divisible by either 7 or 11.
To apply the principle of inclusion-exclusion, we first find the count of positive integers divisible by 7 and the count of positive integers divisible by 11. Then, we subtract the count of positive integers divisible by both 7 and 11 (to avoid double counting) from the sum of the two counts.
In mathematical notation, the rule can be expressed as:
Count(7 or 11) = Count(7) + Count(11) - Count(7 and 11)
By applying this rule, we can determine the number of positive integers less than 1000 that are divisible by either 7 or 11 without double counting.
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Alejandra wants to buy some hot dogs at the store. Each hot dog costs $0.75. If she has $15 to spend, how many hot dogs can she buy?
Answer:___hot dogs
Answer:
20 hot dog
Step-by-step explanation:
Divided by 15 by .75
Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Jason correct? Drag and drop numbers and words into the correct boxes to complete the explanation.
Answer:
Jason is incorrect.
The caterpillar's rate is 2 ft/min
Step-by-step explanation:
The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)
Then, the rate is:
\(rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}\)
someone ate 3 out of 5 bagels in the bag what percent of the bagels r left
Answer:
40%
Step-by-step explanation:
If someone ate 3 out of 5 bagels, then there are 5 - 3 = 2 bagels left.
To find the percentage of the bagels that are left, you need to divide the number of bagels left by the total number of bagels and multiply by 100.
So, the percentage of the bagels that are left is (2 / 5) * 100 = 40%.
What is the equation of a line parallel to the y axis and passing through the point (2,1)?
Answer:
x = 2
Step-by-step explanation:
lines parallel to the y-axis are always vertical and begin with 'x ='
Answer:
x=2
Step-by-step explanation:
Hi there!
A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).
We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).
Therefore, the equation of the line would be x=2.
I hope this helps!
suppose that 36% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction
Thus, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.
To solve this problem, we need to use the formula for calculating the probability of independent events: P(A and B) = P(A) x P(B).
In this case, let A be the event that the first person owns a dog and B be the event that the second person owns a dog.
We know that P(A) = 0.36, or 36% chance that the first person owns a dog. Since the events are independent, P(B) is also 0.36.
So, the probability of both events occurring (both people owning dogs) is:
P(A and B) = P(A) x P(B)
= 0.36 x 0.36
= 0.1296
This can also be expressed as a fraction:
P(A and B) = 36/100 x 36/100
= 1296/10000
Therefore, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.
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