Step-by-step explanation:
6(3x-2)=18x+6
18x-12=18x+2
18x-18x=2-12
0 =-10
0
Answer:
This equation does not exist.
what is the inverse function of
\(g(x) = (x + 2) ^{2} + 1\)
Answer:
Im not gonna hand it to you, but heres what you need to solve it. :)
Step-by-step explanation:
An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.
3. Communicate and Justify The average cost of
an entree on a restaurant menu is $15. Does this
describe the mean or median? Explain.
The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.
What is the mean?The mean is the average value of a data set.
To compute the average, the total value of the data set is divided by the number of items involved.
The average value or mean is the quotient of the total value and the number of data items.
On the other hand, the median describes the middle value of an ordered list of data values.
Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.
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As part of a class project at a large university, Amber selected a random sample of 12 students in her major field of study. All students in the sample were asked to report their number of hours spent studying for the final exam and their score on the final exam. A regression analysis on the data produced the following partial computer output. Assume that the conditions for performing inference about the slope of the true regression line are met. Predictor Coef SE CoefConstant 63.328 4.570Study Hours 1.806 0.745 Do these provide evidence at the a=0.05 level of a positive linear association between number of hours of studying and score on final exam?
Yes, there is evidence at the a=0.05 level of a positive linear association between number of hours of studying and score on the final exam based on the regression analysis output.
To determine whether there is evidence of a positive linear association between the number of hours of studying and the score on the final exam, we need to conduct a hypothesis test.
The null hypothesis for this test is that there is no relationship between the number of hours of studying and the score on the final exam.
The alternative hypothesis is that there is a positive relationship between the two variables.
Let's set alpha at 0.05.
The computer output provides us with the estimated slope of the true regression line (1.806) and its standard error (0.745).
We can use this information to calculate the t-statistic for testing the null hypothesis.
t-statistic = (estimated slope - hypothesized slope) / standard error
where the hypothesized slope under the null hypothesis is zero.
So, the t-statistic is:
t = (1.806 - 0) / 0.745 = 2.426
Using a t-distribution table with 10 degrees of freedom (n - 2), we find that the critical value of t for a two-tailed test with alpha = 0.05 is approximately 2.306.
Since our calculated t-statistic (2.426) is greater than the critical value of t (2.306), we reject the null hypothesis and conclude that there is evidence at the 0.05 level of a positive linear association between the number of hours of studying and the score on the final exam.
We can say that as the number of hours of studying increases, the score on the final exam tends to increase as well.
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In the diagram shown at the right, ABCD is a parallelogram and BF = 16. Find the area of ABCD. Explain your reasoning. (Hint: Draw auxiliary lines through point A and through point D that are parallel to EH.)
The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
We know,
A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
we have,
∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.
∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
≅ Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
ABCD is a Rhombus Reason = Its sides are all congruent.
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complete question:
Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus
Assume the sales price is $15 per unit, variable cost is $6 per unit, and fixed cost is $5,000. If the variable cost decreases to $3 per unit, how many fewer units will have to be sold to earn a target profit of $4,000?
Assume the sales price is $15 per unit, variable cost is $6 per unit, and fixed cost is $5,000. If the variable cost decreases to $3 per unit. The number of units is 250 units.
How to find the units sold?Using this formula to find the units sold
Number of units = [Fixed cost / ( Sales - variable cost)] - [Fixed cost / ( Sales - decrease in variable cost)
Let plug in the formula
Number of units = [$9,000 / ($15- $6)] - ($9,000 / ($15-$3)
Number of units = ($9,000 /$9) - ($9,000 / $12)
Number of units = 1,000- 750
Number of units = 250 units
Note:
(Fixed cost + target profit = $5,000+$4,000 = $9,000)
Therefore 250 units was sold.
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Calculate the iterated integral. (1 4xy) dx dy Step 1 When calculating e find the inner integral first. Since this is an integral with respect to x, then we consider x to be the variable and y to be a constant. Therefore, (1 + 4xy) dx dy
The first step of calculating the iterated integral involves finding the inner integral by integrating the integrand with respect to the variable x while considering y as a constant. This yields x + 2xy²
To calculate the iterated integral ∫∫(1 + 4xy) dxdy, we follow the process of integrating the inner integral first. In this case, x is treated as the variable while y is considered a constant.To find the inner integral, we integrate (1 + 4xy) with respect to x. Treating y as a constant, we obtain the integral ∫(1 + 4xy) dx. Integrating this expression yields x + 2xy² as the result.
Now, we have an expression for the inner integral: x + 2xy². The next step is to integrate this result with respect to y while considering the limits of integration for y. Without specific limits provided, we cannot determine the exact values for the integral. However, we can express the iterated integral in terms of the variable y, resulting in ∫(x + 2xy²) dy.
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Which is a solution for the following system of inequalities?
(7x+2y >3
(x-2y <2
The solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
What are linear inequalities?Linear inequalities are inequalities that have constant average rates of change, slope or gradient
How to determine the solution to the system of inequalities?A system of linear inequalities is a collection of at least two linear inequalities.
In this case, the system of linear inequalities is given as
7x+2y > 3
x-2y < 2
Rewrite the inequalities as equations
7x+2y = 3
x-2y = 2
Make x the subject in the second equation, by adding 2y to both sides of the equation
x - 2y +2y = 2 + 2y
This gives
x = 2 + 2y
Substitute x = 2 + 2y in 7x+2y = 3
7(2 + 2y) +2y = 3
Expand the brackets
14 + 14y + 2y = 3
Evaluate the like terms
16y = -11
Divide both sides by 16
y = -11/16
Substitute y = -11/16 in x = 2 + 2y
x = 2 - 2 * 11/16
Evaluate the product
x = 2 - 11/8
Evaluate the difference
x = 5/8
Hence, the solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
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Store purchases boxes of pasta for $0.82 in cans of sauce for $1.62 how much profit does the store make from this purchase?
Answer: $2.44
Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44
THERES UR ANSWER.........!!!!!!!!!!!!!
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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It costs $3.99 for 25 fluid ounces of detergent or $6.99 for 90 fluid ounces. Which is the better buy?
(round to the nearest hundredths place)
Answer:
$3.99/25=0.1596
$6.99/90=0.0776
rounded #s
0.16 and 0.08
Step-by-step explanation:
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Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
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i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
A common at-home workout that features high-intensity cardio, strength-building exercises, and focuses on total body fitness might be:____.
A common at-home workout that features high-intensity cardio, and strength-building exercises, and focuses on total body fitness might be a 21-day or 60-day "challenge". Thus, the correct option is C.
Body fitness may be defined as an ability of a person to perform daily physical activities with normal performance, endurance, and strength. This fitness assists the individual in the regulation of disease, fatigue, and stress and reduced inactive behavior.
People who performed high-intensity cardio, and strength-building exercises, in their home and focus on total body fitness must be actively involved in the 21-day or 60-day "challenge".
A 21-day or 60-day "challenge" would be self-selected by an individual in order to maintain their overall physical fitness.
Therefore, the correct option for this question is C.
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Suppose P is true and N is false. What is the truth value of the following sentence? (M (NAQ)) V (¬M → P) ( O a. True O b. It depends on the truth value of Q O C. It depends on the truth value of M O d. False cross out cross out cross out cross out What sentence must be in line 14? 11 12 13 14 (¬BA -A) Л¬B -ва-А ¬BA (-АЛ¬B) -B 0 а. 0 Б. О с. Od. -A ¬B ? ? -Е 8,7 →Е 4, 5 AI 11, 12 ЛІ 12, 13 What sentence must be in line 18? 15 G 16 17. 18 19 a. (DAG) VG O b. (DAG) VH OC. DA(GVH) O d. HV (DAG) D DAG ? D→ (Hv (DAG)) →E 11, 13 AI 16, 15 VI 17 →I 16-18
The given expression is (M(NAQ))V(¬M →P)(O). Here, P is true and N is false. Now, we will put the values of P and N into the expression.
The given expression is: (M(NAQ))V(¬M →P)(O)
Putting the values of P and N into the expression:
(M(NAQ))V(¬M →T)(O)Since P is true, (¬M →P) becomes (¬M →T)
Now, the given expression becomes (M(NAQ))V(¬M →T)(O)
As we can see, there is a tautology O in the given expression, so the expression is true regardless of the values of M, N, and Q.Thus, the answer to the first part of the question is option a: True.
Line 14 of the given proof requires (¬BA -A) to be true. Here, we have to assume that B is true, and we will use proof by contradiction to show that A must also be true. We can represent this in the following way:
We have to prove that (¬BA -A) is true. For this, we will assume that B is true, and we will use proof by contradiction to show that A must also be true. Now, suppose B is true, but A is false. This means that we have the following:¬BA -A¬B-ABut this contradicts our assumption that B is true. Therefore, A must also be true, which proves that (¬BA -A) is true.
Line 18 of the given proof requires (DAG) VH to be true. To prove this, we can use modus ponens to show that (DAG) VH is true. We can represent this in the following way:
We have to prove that (DAG) VH is true. For this, we can use modus ponens to show that (DAG) VH is true. We can represent this in the following way:DAG → (Hv (DAG)) (Given)DAG (Given)Hv (DAG) (Modus ponens from lines 16 and 15)
Now, we can represent the above statement as (DAG) VH, which proves that (DAG) VH is true.
The truth value of the given expression (M(NAQ))V(¬M →P)(O) is True, regardless of the values of M, N, and Q. Line 14 requires (¬BA -A) to be true, and line 18 requires (DAG) VH to be true.
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6)
The value of Tony's investment was $1140 on January 1st. On this date
three years later, his investment was worth $1824. The average rate of
change for this investment was $19 per
(1) day
(2) month
(3) quarter
(4) year
Answer:
Step-by-step explanation:
Average rate of change = (Ending value - Beginning value) / Time elapsed
Using the formula for the average rate of change, we get:
(1824 - 1140) / 1095 = $0.55 per day
(1824 - 1140) / 36 = $19 per month
(1824 - 1140) / 12 = $54 per quarter
(1824 - 1140) / 3 = $228 per year
Therefore, the average rate of change for Tony's investment was $19 per month.
Any ideas on how to answer this for math?
You have learned what tangent lines are. You have learned that they are perpendicular to the radius at a point on the circle. What is unique about a tangent line is that it touches the circle at exactly one point, but never goes inside the circle. But points are infinitely small … how can a line touch a circle without ever going into it?
Answer:
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
Step-by-step explanation:
smarts.
hope this helps :))
Find the perimeter area and/or volume of the given figure
According to the information the volume of this figure would be 16cm³ and the surface area of this figure would be 24cm²
How to calculate the surface area and volume of this figure?To calculate the surface area and volume of this figure we must perform the following procedure:
Volume:
Multiply height, width and length
2cm * 2cm *2cm = 16cm³
Surface area:
Multiply height by width and multiply the result by the number of faces the figure has.
2cm * 2cm = 4cm²
4cm² * 6 = 24cm²
According to the above, the volume of this figure is 16cm³ and the surface area is 24cm².
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y=x^2-2x-2 , y=-3x+4
Answer:
point form:(2,-2),(-3,13)
Step-by-step explanation:
You solve for the first variable in one of the equations, then substitute the result into the other equation.
small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain
Answer:
Volume of cube = 216
Dimesnions of cuboid = 4 * 6 * x
x = 216 / 24x
x = 9cm
Step-by-step explanation:
Hope this helps... pls vote as brainliest
Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 42 : 18
Answer:
7/3 or 2 1/3
Step-by-step explanation:
I'm pretty sure I have the right answer but can someone answer this for me ?
ANSWER
28.285 units
EXPLANATION
We are given the square EFGH and we need to find the perimeter.
The perimeter of a square is given as:
P = 4 * L
P = 4L
where L = length of the side of the square
To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.
Let us pick E(0, 5) and F(5, 0).
The distance between the two points is:
\(L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where (x1, y1) = (0, 5)
(x2, y2) = (5, 0)
Therefore, the length of the square (distance between the two points) is:
\(\begin{gathered} L\text{ = }\sqrt[]{(5-0)^2+(0-5)^2}\text{ = }\sqrt[]{5^2+(-5)^2} \\ L\text{ = }\sqrt[]{25\text{ + 25}}\text{ = }\sqrt[]{50} \\ L\text{ = 7.071 units} \end{gathered}\)Therefore, the perimeter of the square is:
P = 4 * 7.071
P = 28.284 units
x/4 + y/5 = 2 and x/2 + y = - 3. Solve for x and y
Answer:
A) x/4 + y/5 = 2
B) x/2 + y = - 3
Step-by-step explanation:
We multiply A) by -4 and B) by 2
A) -x - 4/5 y = -8
B) x + 2y = -6 then add A) and B)
1.2y = -14
y = 11 (2/3) = -11.6666666...
x + 2y = -6
x = -6 -2*-11.6666666
x = -23.3333332
HELP ME NO LINKS :( ........................
Answer:
-1
Step-by-step explanation:
y=y
x+5=-3x+1
x+3x=1-5
4x=-4
x=-4/4
x=-1
how similar is the code for doing k-fold validation for least-squares regression vs. logistic regression
The code for k-fold validation in least-squares and logistic regression involves splitting the dataset into k folds, importing libraries, preprocessing, splitting, iterating over folds, fitting, predicting, evaluating performance, and calculating average performance metrics across all folds.
The code for performing k-fold validation for least-squares regression and logistic regression is quite similar. Both methods involve splitting the dataset into k folds, where k is the number of folds or subsets. The code for both models generally follows the same steps:
1. Import the necessary libraries, such as scikit-learn for machine learning tasks.
2. Load or preprocess the dataset.
3. Split the dataset into k folds using a cross-validation function like KFold or StratifiedKFold.
4. Iterate over the folds and perform the following steps:
a. Split the data into training and testing sets based on the current fold.
b. Fit the model on the training set.
c. Predict the target variable on the testing set.
d. Evaluate the model's performance using appropriate metrics, such as mean squared error for least-squares regression or accuracy, precision, and recall for logistic regression.
5. Calculate and store the average performance metric across all the folds.
While there may be minor differences in the specific implementation details, the overall structure and logic of the code for k-fold validation in both least-squares regression and logistic regression are similar.
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suppose s is the set of integers that are multiples of 3, and t is the set of integers that are odd. construct a bijection between the two sets, and prove that it is both onto and one-to-one.
A bijection between two sets is constructed below and also proved that it is both one-one and onto.
What is meant by one-one function?The phrase "one-to-one function" should not be mistaken with "one-to-one correspondence," which is used to describe bijective functions, in which each element in the codomain is a precise mirror image of a single element in the domain.
Any function that can work with the operations of two algebraic structures is said to be a homomorphism between them. An injective homomorphism is also referred to as a monomorphism for any commonly occurring algebraic structures, particularly vector spaces.
Let t∈T
Then,
t=2k+1, for some k∈Z
Let s=3k
Then,
s∈S and f(s)=2(s/3)+1
=2k+1
=t
Therefore, for every t∈T there exists s∈S such that f(s)=t
Thus, f is onto.
Hence,
f:S ----> T is a bijective mapping
⇒|S|=|T|
Now, we have to define a mapping f:S ---?T
By f(x)=2(x/3)+1, ∀x∈S
Given,
S={3k|k∈Z} and T={2k+1:k∈Z}
We have to prove:
|S|=|T|
Let x, y∈ S with f(x)=f(y)
Then,
2(x/3)+1=2(y/3)+1
2(x/3)=2(y/3)
(x/3)=(y/3)
x=y
So, f is one-one
Now, we have proved that f is both one-one and onto.
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Multiply and combine like terms:
-5x – 4(9 – 2x)
-5x-36+8x
3x-36
3(x-18)
The value of the expression after multiplying and combining the terms is 3(x-12)
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that, an expression, -5x-4(9-2x), we need to simplify by multiply and combining like terms:
= -5x-4(9-2x)
By distributive property,
= -5x-36+8x
Combining the term containing x,
= 3x-36
Taking 3 common.
= 3(x-12)
Hence, the value of the expression after multiplying and combining the terms is 3(x-12)
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A calculator screen displays 9.837E8. Write this number in standard form.
Answer: 983.7 x 10^6
its in the most standard form it can be in now.
The standard form of the given number is 983.7 x 10^6.
We have given that,
The screen displays 9.837E8. Write this number in standard form.
We have to write the above equation in standard form.
What is the standard form of the number?
The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
We have given 9.837^8
Therefore the standard form of the given number is 983.7 x 10^6.
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22 = 5(y – 8) please help me
Answer:
y=12.4
Step-by-step explanation:
22/5 is 4.4
so the numbers in the bracket must equal to 4.4
so y is 12.4
Answer:
62/5 or 12 2/5
Step-by-step explanation:
22 = 5(y-8)
22 = 5y - 40
5y−40=22
Add 40 to both sides
5y−40+40=22+40
5y = 22+40
5y=62
Isolate the variable.
5y/5 = 62/5
32% of a number is 64 what is the number
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
Rory and Curtis are on the stage crew for the school play. The rectangular stage measures 20 feet by 40 feet. What is the minimum amount of tape they will need to outline the stage?
Answer:
I think 30 have a great day
Answer: 6 feet G 27 inches H 1 meter J 98 centimeters 21
Step-by-step explanation:https://www.solpass.org/released_sol_tests/6MathSOL2007.pdf
This is 9th-grade math
An inequality for the graph above is y ≤ -3x + 6.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-3 - 6)/(3 - 0)
Slope (m) = -9/3
Slope (m) = -3
At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 6 = -3(x - 0)
y = -3x + 6
y ≤ -3x + 6 (since the solid line is shaded below).
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please help!! my brain is blank I can't think ;^;
Answer:
A polygon has three sides