Answer:
1. - 4
2. Answer is the last one
Step-by-step explanation:
U sub - 4 in X and you will get 16 and 16 is perfect square
WXYZ is a parallelogram. The position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively. Determine in the form (x,y) the vectors, WX, XY, WZ, OZ
In the parallelogram, the coordinates form of the vectors WX, XY, WZ, OZ are (18,3), (24, 21), (2x, y) and (0,0).
The term coordinate in math is known as the set of values that represents the exact position on the coordinate plane
Here we know that WXYZ is a parallelogram and the position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively.
Then the value of the coordinate vectors are calculated as,
=> WX = (2,1) x (6,3) = (18, 3)
And the value of XY is calculated as,
=> XY = (6,3) x (4,7) = (24, 21)
And we know that the value of Z is (x, y), then the vector is calculated as,
=> WZ = (2,1) x (x, y) = (2x, y)
Finally the value of OZ is calculated as,
=> OZ =(0,0) x (x , y) = (0, 0)
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if f(x)=-x+8 and g(x)=x^2 what is (g°f)(6)
~Shoto Todoroki here~
Answer:
The answer is =−7
Step-by-step explanation:
This is a composition of functions
f(x)=x+8
g(x)=x2−6x−7
f(g(x))=f(x2−6x−7)=x2−6x−7+8=x2−6x+1
Therefore,
f(g(2))=22−6⋅2+1=4−12+1=
−7
hope this helps :D
Simplify each number. 4¹.⁵
The result of simplifying the number (4¹)⁵ using the exponent rules is 1024
To solve this exercise we have to resolve algebraic operations following the exponent rules.
Note the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:
(4¹)⁵ =
4 ⁽¹*⁵⁾ =
4⁵ =
4*4*4*4*4 =
1024
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3
The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
What is a polynomial?
⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.
Calculation;
We have been given two polynomial which we have to add \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)
The sign after addition or subtraction will always be of the variable having more value.
\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)
On adding like terms with each other
⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)
⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)
Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
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Four different beverages are sold at a fast-food restaurant: soft drinks, tea, coffee, and bottled water. Explain why the type of beverage sold is an example of a categorical variable
Answer: The values of the variable can only be placed into categories.
Step-by-step explanation:
Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.
A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. No, because not all of the pairs represent the same ratio.
B. Yes, because the ratios
2/5 and 6/15 are equal.
C. No, because the y-values are not increasing at a constant rate.
D. Yes, because the ratios are all positive.
Answer:
A. No, because not all of the pairs represent the same ratio
These points are linear. Find
the slope.
x1234 5/6
y 0 48 12 16 20
Answer:
m = 4
Step-by-step explanation:
The slope for the linear points is given by :
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
We have,
y₂ = 4, y₁ = 0, x₂ = 2, x₁ = 1
Putting all the values,
\(m=\dfrac{4-0}{2-1}\\\\\implies m=\dfrac{4}{1}\\\\m=4\)
So, the slope of the line is equal to 4.
What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.
I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the
Answer: \(\$(23.65+1.343s)\)
Step-by-step explanation:
Given
Speaker set to cost $22
Each song costs $1.25
Sales tax is 7.5%
Suppose, one purchase s no of songs
The cost of s songs is $1.25s
The combined cost of speakers and song is
\(C=22+1.25s\)
At this cost, a 7.5% sales tax is applied to the given cost
\(\Rightarrow [22+1.25s]\times 0.075\)
Total cost after sales tax is
\(\Rightarrow C_t=22+1.25s+[22+1.25s]0.075\\\\\Rightarrow C_t=[22+1.25s](1+0.075)=[22+1.25s]\times 1.075\\\\\Rightarrow C_t=\$(23.65+1.343s)\)
helppp ill mark u as brainlist
Answer:
Is A or B
Step-by-step explanation:
Its not proportional because of the +30
Answer:
D I believe
Step-by-step explanation:
I think it is D
If y varies directly as x and y = 5.5 when x = 11, find x when y = 3.5
help
Answer:
7
Step-by-step explanation:
Let us say that \(y_{1}\)= 5.5, \(x_{1}\)= 11, and \(y_{2}\) = 3.5.
\(\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}\)
\(\frac{3.5}{5.5} =\frac{x_{2}}{11}\)
\(\frac{7}{11} =\frac{x_{2}}{11}\)
\(x_{2} =7\)
I hope this is correct and helps you!
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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Whats this answer i need help please .
3. A figure KLMN is a square centered at the origin.
M is in quadrant I, L is in quadrant II, K is in
quadrant III, and N is in quadrant IV. The side
length of the square is 3z. What are the coordinates
of the vertices?
Step by step answer please, I’m begging
Step-by-step explanation:
hope you can understand
For a normal distribution, the probability of a value being between a positive z-value and its population mean is the same as that of a value being between a negative z-value and its population mean.
For a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
The normal distribution is characterized by its bell-shaped curve, which is symmetric around the mean. The mean is also the midpoint of the curve, and the curve approaches but never touches the horizontal axis. The standard deviation of the distribution controls the spread of the curve.
In a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
This means that if we have a normal distribution with a mean of μ and a standard deviation of σ, the probability of a value falling between μ+zσ and μ is the same as the probability of a value falling between μ-zσ and μ.
This property of the normal distribution makes it easy to compute probabilities for any range of values, by transforming them into standard units using the z-score formula.
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Please help me with this homework
AnswerAnswer:1/11
Step-by-step explanation:
In the following descriptions of a study, confounding is present. Describe the explanatory and confounding variable in the study and how the confounding may invalidate the conclusions of the study. Furthermore, suggest how you would change the study to eliminate the effect of the confounding variable.
a. A prospective study is conducted to study the relationship between incidence of lung cancer and level of alcohol drinking. The drinking status of 5,000 subjects is determined, and the health of the subjects is then followed for 10 years. The results are given below.
Lung Cancer
Drinking status Yes No Total
Heavy drinker 50 2150 2200
Light drinker 30 2770 2800
Total 80 4920 5000
b. A study was conducted to examine the possible relationship between coronary disease and obesity. The study found that the proportion of obese persons having developed coronary disease was much higher than the proportion of nonobese persons. A medical researcher states that the population of obese persons generally have higher incidences of hypertension and diabetes than the population of nonobese persons.
Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.
This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.
Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.
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4 + 5x-x + 19 simplify expressions using like terms
If four dice are rolled, what is the probability of obtaining two identical odd numbers and two identical even numbers?
Answer:
1/24 = 0.041666666...
Step-by-step explanation:
when rolling 4 dice, we have
6 × 6 × 6 × 6 = 6⁴ = 1296
different possible outcomes (each die has 6 possible outcomes).
so, the probability of any particular pattern is then
1/1296.
we need to find how many patterns there are to represent the desired result of 2 identical odd numbers combined with 2 identical even numbers.
there are on every die 3 out of 6 options for an odd number, and the other 3 out of 6 options for an even number.
when we roll 2 dice, the patterns for 2 identical odd numbers are
1 1
3 3
5 5
so, 3 out of the possible 36.
similar for 2 identical even numbers.
2 2
4 4
6 6
3 out of the possible 36.
so, combining this together for a roll of 4 dice, we get then
3 × 3 out of the possible 36 × 36
9 out of the possible 1296 patterns.
that means the probability (desired over total possible cases) for a specific combination of 2-and-2 dice is
9/1296 = 1/144 = 0.006944444...
but there are 4! / (2! × 2!) = 6 possibilities (pick 2 out of 4, where the sequence of the picked ones does not matter) to pick 2 dice out of 4 and to show the same pattern across the 4 dice, as e.g. for the basic pattern 1 1 2 2 we can have
1 1 2 2
1 2 1 2
1 2 2 1
2 1 2 1
2 1 1 2
2 2 1 1
all of the 9 patterns have these 6 combination possibilities.
so, we need to multiply the individual pattern probability by 6 for the total probability
1/144 × 6 = 6/144 = 1/24 = 0.041666666...
Please help if you can! A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?
He needed to make a total of 1980 + 630 = $2610
$2610 / 45 = 58
Answer: 58
4. ASRS of 100 flights by Nite-flite Airlines showed that 64 were on time. A SRS of 110 flights by Waxwing Airlines showed that 80 were on time. Is there evidence that Waxwing Airlines has a larger proportion of on-time flights? Use a = 0,01. Assume both populations are normal State Parameters and Hypotheses: 1 Check 3 conditions for both populations: Type of Test: p-value: Conclusion
The test statistic is given as z = (0.64 - 0.727) / sqrt{ [ (0.64)(0.36) / 100 ] + [ (0.727)(0.273) / 110 ] }
= -1.81 (approx.)
The parameters and hypotheses for the problem are stated below: Let p1 be the proportion of on-time flights for Nite-flite Airlines.
Let p2 be the proportion of on-time flights for Waxwing Airlines.
The null hypothesis and the alternative hypothesis are given as follows: Null hypothesis: H0: p1 = p2Alternative hypothesis: Ha: p1 < p2 (left-tailed test)Check the three conditions for both the populations
:Since both samples are smaller than 10% of their respective populations, we assume that both populations are normal.
The samples are independent. Type of test: Since both samples are large, we can use a z-test for two proportions. P-value: The test statistic for a two-sample proportion z-test is given as
z = (p1 - p2) / sqrt{ p(1 - p) [ (1/n1) + (1/n2) ] }
where p = (x1 + x2) / (n1 + n2)
The p-value for the test is P(Z < -1.81)
= 0.035 < 0.01
Therefore, we can reject the null hypothesis at the 0.01 level of significance. Conclusion:
There is sufficient evidence to suggest that Waxwing Airlines has a larger proportion of on-time flights than Nite -flite Airlines.
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Let A and B be an 3 x 3 matrix and det A = 4 and det B = -3. Find det(2 APBT A-'B). [6 marks]
For det(A-'B), we can use the fact that det(AB) = det(A) det(B) and det(A') = det(A) for any matrices A and B. Thus,
det(A-'B) = det(A) det((A-'B)A^-1)
= det(A) det(A'A^-1 - B A^-1)
= det(A) det(A^-1) det(A'A - B)
= det(A)^2 det(AA' - B)
= (det(A))^2 det(BA-'A'B)
where we used the fact that det(A^-1) = 1/det(A) and det(A'A - B) = det(A(A' - A^-1B)) = det(A) det(A' - A^-1B) = det(A) det(A^-1(A'A - B)) = det(A) det(A^-1) det(A'A - B).
Therefore, det(2 APBT A-'B) = -64 det(P) det(A-'B) det(B) = -64 det(P) det(A)^2 det(BA-'A'B).
Without more information about P, we cannot determine the value of det(2 APBT A-'B).
Given A and B are 3x3 matrices, with det(A) = 4 and det(B) = -3. You want to find the determinant of the product 2APBT A^(-1)B, where A^(-1) is the inverse of matrix A.
Using the properties of determinants, we can find the determinant of this product as follows:
det(2APBT A^(-1)B) = 2^3 * det(A) * det(P) * det(B) * det(T) * det(A^(-1)) * det(B)
= 8 * 4 * det(P) * (-3) * det(T) * (1/4) * (-3)
Since det(A^(-1)) = 1/det(A) and the determinants of scalar multiples (2) for a 3x3 matrix are raised to the power of 3, the equation becomes:
= -72 * det(P) * det(T)
To find the final answer, you would need the values for det(P) and det(T).To find det(2 APBT A-'B), we can use the following formula:
det(kA) = k^n det(A)
where k is a scalar and A is an n x n matrix. We can apply this formula repeatedly to simplify the determinant:
det(2 APBT A-'B) = 2^3 det(APBT A-'B)
= 2^3 det(A) det(PBT) det(A-'B)
= 2^3 (4) (-1)^3 det(P) det(B) det(A-'B)
= -64 det(P) det(A-'B) det(B)
where we used the fact that det(PBT) = det(P) and det(A-'B) = (-1)^3 det(BA-'A'B) due to the cyclic property of the determinant. Now we just need to find det(P) and det(A-'B).
Since P is a permutation matrix, it has either det(P) = 1 if the number of row swaps needed to reach it from the identity matrix is even, or det(P) = -1 if the number of row swaps is odd. Since we don't have any information about P, we cannot determine its determinant.
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Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
If Mr. Rankin put $120 on the table, how much change did he receive?
If Mr. Rankin put $120 on the table, the change he would receive $8.82
What is Percentage ?
Percentage can be defined as the product ratio of given value, total value and hundred.
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
If Mr. Rankin put $120 on the table, the change he would receive
tax = 5/100 * 88.24
tax = 4.412
tip = 20/100 * 88.24
tip = 17.648
Total amount = 88.24 +4.412+17.648
= 111.18
So, If Mr. Rankin put $120 on the table, the change he would receive
= 120 -111.18 = 8.82
Therefore, If Mr. Rankin put $120 on the table, the change he would receive $8.82
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Divide 36087 by 56 and verify the result by division algorithm.
Answer:
Do like this
Step-by-step explanation:
Hope it helps you
A student who is at the 40th percentile of first-year gpas is also likely to be at the 40th percentile of second-year gpas. true false
False. We would anticipate the second-year GPA to be slightly higher than the 40th percentile based on the regression impact.
How does your GPA translate?
Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades.Given this,
A student who has a first-year GPA in the 40th percentile
is likely to have a second-year GPA in the same range.
The scatter plot is shaped like a football. ————— (False)
If the scatter diagram is shaped like a football, then all of the data points are drawn in a circle. As a result, the data does not fit well.
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If you bought a stock last year for a price of $129, and it has gone down 5.1% since then, how much is the stock worth now, to the nearest cent?
Answer:
See below.
Step-by-step explanation:
First, you want to turn the percentage into a decimal. To do that, divide the percentage by 100.
\(\frac{5.1}{100} =0.051\)
Next, multiply the percentage by the price.
\(129*.051=6.579\)
\(6.579\) rounded to the nearest cent would be \(6.58\).
Last, you would subtract to find the answer.
\(129-6.58=122.42\)
Answer: $122.42
:)
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In the given statement is :
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.
Survivorship Curve:
The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.
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4. Consider the function: f(x,y)=4x2+8y2. (a) Find the minimum value of the function subject to x+y=0. (b) Find the minimum value of the function subject to x2+y2=2. (c) Find the minimum value of the function subject to x+y=0 and x2+y2= 2.
(a) The minimum value of the function \(f(x, y) = 4x^2 + 8y^2\)subject to the constraint x + y = 0 is 0. This is obtained by solving the Lagrange equations and finding the critical point at (0, 0), which is confirmed to be a minimum through the second partial derivatives test.
(b) The minimum value of the function \(f(x, y) = 4x^2 + 8y^2\) subject to the constraint \(x^2 + y^2 = 2\) is 8. By using the Lagrange equations, we find the critical points at (±√2, ±√2) and evaluate the function at these points. The minimum value is attained at (±√2, ±√2) with f(±√2, ±√2) = 8.
(c) The function\(f(x, y) = 4x^2 + 8y^2\) subject to the constraints x + y = 0 and \(x^2 + y^2 = 2\) does not have a minimum value. The constraints are incompatible, resulting in an empty feasible region.
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can anybody figure this question out cause I can't figure it out.
Answer:
there is no change because it is a circle
I'm confused with this one is it A,B C or D
Answer:
The answer is 24%.
Step-by-step explanation:
If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.