Answers
To solve this problem, first, let's remember the definitions of even and odd functions.
• A function f is ,even, if the graph of f is ,symmetric about the y-axis,.
,• A function f is ,odd, if the graph of f is ,symmetric about the origin.
a) To make the function even, we must complete the graph such the graph result is symmetric about the y-axis (the vertical axis). Doing that we get:
b) To make the function odd, we must complete the graph such the graph result is symmetric about the origin (the horizontal axis). Doing that we get:
Related Questions
A survey where political groups try to collect information about what voters think is called a * Ballot initiative Public opinion poll Electoral College Acondidate is chosen to run for office is called
Answers
Answer:
Step-by-step explanation:
A person selected by others to run for office is the nominee.
If A denotes some event, what does Ā denote? If P(A) = 0.006, what is the value of PĀ)?
What does A denote?
Answers
\(A\) denotes some event, \(\overline{A}\) denotes the complement of \(A\) that is \(\overline{A}\)contains all the events that do not occur in A.
And, the value of \(P(\overline{A})\) is, \(P(\overline{A}) = 0.994\)
Used the concept of probability which states that,
\(P (A) + P(\overline{A}) = 1\)
Where, \(A\) and \(\overline{A}\) are events.
When \(A\) denotes some event, \(\overline{A}\) denotes the complement of \(A\) that is \(\overline{A}\)contains all the events that do not occur in A.
Given that:
P(A) = 0.006
We used the formula of probability which stated that,
\(P (A) + P(\overline{A}) = 1\)
Where, \(A\) and \(\overline{A}\) are events.
Substitute \(P (A) = 0.006\) into the above formula,
\(0.006 + P(\overline{A}) = 1\)
Subtract 0.006 on both sides,
\(P(\overline{A}) = 1 - 0.006\)
Therefore, the value of \(P(\overline{A})\) is,
\(P(\overline{A}) = 0.994\)
So, If \(A\) denotes some event, \(\overline{A}\) denotes the complement of \(A\).
And, \(P(\overline{A}) = 0.994\)
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Write each and every step to the following question: 1. A rectangular box having constant capacity is open at the top. Find the dimensions of the box requiring least material for its construction.
Answers
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To find the dimensions of the rectangular box that require the least amount of material for its construction, we can follow these steps:
Determine the volume of the box. The volume of a rectangular box is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the box.
Determine the surface area of the box. The surface area of a rectangular box is given by the formula SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the box.
Minimize the surface area while keeping the volume constant. To minimize the surface area, we can try different combinations of l, w, and h and choose the combination that results in the smallest surface area while still maintaining the required volume. This can be done by setting up and solving a system of equations.
Calculate the minimum material required for the construction of the box. Once we have found the dimensions that minimize the surface area, we can use the surface area formula to calculate the minimum amount of material required for the construction of the box.
Construct the box using the minimum amount of material. Once we have calculated the minimum amount of material required, we can use this information to construct the box using the least amount of material possible.
In the equation, what is the value of s?
3(s + 1) - 8 = 6s(2 - 4)
A) -3
B) - 1/3
C) 3
D) 1/3
Answers
Answer:
B
Step-by-step explanation:
After Verifying that the functions 1 2 satisfy the corresponding homogeneous equation of the given equation, find a particular solution of the non-homogeneous equation and then the general solution of the equation .
x²y'' + xy' + (x² - 0.25 ) y = 3x √xsinx
x> 0
y1(x) = sin (x) / √x
y2(x) = cos (x) / √x
Answers
To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.
First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):
W(y1, y2) = | y1 y2 |
| y1' y2' |
We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:
y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))
y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))
Substituting these values into the Wronskian:
W(y1, y2) = | sin(x) / √x cos(x) / √x |
| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |
Expanding the determinant:
W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))
Simplifying:
W(y1, y2) = -1 / (2√x)
Now, we can find the particular solution using the variation of parameters formula:
y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx
Here, g(x) = 3x√xsin(x). Substituting the values:
y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx
Simplifying the integrals:
y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)
Integrating:
y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C
Simplifying:
y_p(x) = 3x(sin^2(x) - cos^2(x)) + C
The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:
y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C
where C1, C2, and C are arbitrary constants.
simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3
Answers
Answer:
\(\frac{-8 +2\sqrt{3} }{3}\)
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
Expanding (1-√3)(⅓+√3)
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + \(\frac{2\sqrt{3} }{3}\)
= \(\frac{-8 +2\sqrt{3} }{3}\)
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Answers
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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HELP y = x2 – 2x -8.a.What are the x - intercept(s)?b.What is the y - intercept?c.Is there a highest or a lowest point?
Answers
SOLUTION
From
\(\begin{gathered} y=x^2-2x-8 \\ x^2-2x-8=0 \\ \text{The sum of -2x = -4x + 2x} \\ \text{The product of -8x}^2=-4x+2x \\ x^2-2x-8=0 \\ x^2-4x+2x-8=0 \\ x(x-4)+2(x-4)=0 \\ (x+2)(x-4)=0 \\ \text{Either } \\ x+2=0 \\ x=-2\text{ or} \\ x-4=0 \\ x=4 \end{gathered}\)So the x-intercepts are the roots of the equation, which is -2 or 4
Since x = -2 or x = 4
Now let's find the y-intercept
Since x-square is positive, there is a minimum value, that is there is a lowest point
We find the lowest point by finding the derivative of y with respect to x
\(\begin{gathered} y=x^2-2x-8 \\ \frac{d\text{ y}}{d\text{ x}}=2x-2 \\ \\ \text{Now we set }\frac{d\text{ y}}{d\text{ x}}=0 \\ 2x-2=0 \\ 2x=2 \\ x=1 \end{gathered}\)So the lowest value for y is
\(\begin{gathered} y=x^2-2x-8 \\ y=1^2-2(1)-8 \\ y=1-2-8 \\ y=-9 \end{gathered}\)So, the lowest value of y = -9
Pleaseee helpppp!!! 20 points
Answers
Answer:
The correct option is (A).
Step-by-step explanation:
The given expression is :
\(\dfrac{14x^4y^6}{7x^8y^2}\)
The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².
We can write it as :
\(\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}\)
Canceling the common terms,
\(=\dfrac{2y^4}{x^4}\)
So, the correct option is (A).
Please help me I don’t k ow how to do it
Answers
triangle UTV similar with triangle YZX
Step-by-step explanation:
that mean UT/YZ = TV/ZX = UV/YX is the answer
Genes are sections of DNA that code for a particular trait. Genes are?
Answers
Answer:
Genes are DNA transferred to off spring by parents
Answer:
Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.
Step-by-step explanation:
There are 591 students participating in field day. Two thirds are boys. How many are girls?
Answers
Answer:
394 of the students are boys
197 are girls
Explanation:
We are told that 2/3 of the participants are boys; therefore, we conclude that 1/3 are girls.
Therefore, to find the number of girls participating, we multiply 1/3 by the total number of participants (591).
\(\frac{1}{3}\times591\)\(=\frac{591}{3}\)\(=197.\)Hence, there are 197 girls participating.
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answers
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
Please help and show how you found the answer step by step.
Answers
According to the information, the perimeter of the triangle is ≈ 31.18
How to calculate the perimeter of the triangle?To find the distance between two points, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates as follows:
Point 1: (-2, 3)
Point 2: (3, -2)
Now we can substitute these values into the distance formula:
distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)
distance = sqrt((5)^2 + (-5)^2)
distance = sqrt(25 + 25)
distance = sqrt(50)
distance ≈ 7.07
Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.
To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.
Using the distance formula, we can find the length of the sides:
Side 1: (-2,3) to (3,-2)
d = √[(3 - (-2))^2 + (-2 - 3)^2]
= √[5^2 + (-5)^2]
= √50
= 5√2
Side 2: (3,-2) to (-7,-2)
d = √[(-7 - 3)^2 + (-2 - (-2))^2]
= √[(-10)^2 + 0^2]
= 10
Side 3: (-7,-2) to (-2,3)
d = √[(-2 - (-7))^2 + (3 - (-2))^2]
= √[5^2 + 5^2]
= 5√2
Therefore, the perimeter of the triangle is:
5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)
An two of the three sides are equal, so it is an isosceles triangle.
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A test was made of H0: μ1 = μ2 versus H1: μ1 < μ2. The sample means were and the sample standard deviations were and and the sample sizes were and Is H0 rejected at the 0.05 level? (Hint: First compute the value of the test statistic.)
Answers
Answer:
Step-by-step explanation:
Hello!
Hypotheses:
H₀: μ₁ = μ₂
H₁: μ₁ < μ₂
α: 0.05
Using the following sample information:
Sample 1
n₁= 15
X[bar]₁= 10
S₁= 4
Sample 2
n₂= 27
X[bar]₂= 8
S₂= 7
This is an example of a t-test for independent samples, assuming both unknown populations variances are equal the statistic is:
\(t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}\)
\(Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*16+26*49}{15+27-2} }= \sqrt{\frac{1498}{40} } = 6.119= 6.12\)
\(t= \frac{(10-8)-0}{6.12*\sqrt{\frac{1}{15} +\frac{1}{27} } }= 1.01\)
The p-value of this test is 0.1593
To decide using the p-value approach you have to use the following rule:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The calculated p-value is greater than the significance level, the decision is to not reject the null hypothesis.
Using a 5% significance level you can conclude that the hypothesis test is not significant and the population means of populations 1 and 2 are equal.
I hope this helps!
Sandy wants to make brownies. To make brownies, she needs 2/3 of a cup of flour
per batch of brownies. If Sandy has 6 cups of flour, then how many batches of brownies
can Sandy make?
Answers
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 9
The function g(x) = -6x + 3.
Compare the slopes and y-intercepts.
O A. The slopes are different but the y-intercepts are the same.
B. The slopes are the same but the y-intercepts are different.
C. Both the slopes and the y-intercepts are the same.
D. Both the slopes and the y-intercepts are different.
Answers
Answer:
A
Step-by-step explanation:
In the slope-intercept form (y=mx+c), the coefficient of x is the slope and c is the y-intercept.
g(x)= -6x +3
Slope= -6
y- intercept= 3
f(x)
y- intercept is the point at which the graph cuts through the y- axis, and it occurs at x= 0.
The two points on the graph are (0, 3) and (1, 1).
slope
\( = \frac{y1 - y2}{x1 - x2} \)
\( = \frac{3 - 1}{0 - 1} \)
\( = \frac{2}{ - 1} \)
= -2
y- intercept= 3
Thus, both have different slopes but the same y-intercepts.
Answer:
A
The slopes are different but the y-intercepts are the same
Step-by-step explanation:
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Answers
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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need help with this i don't understand
Answers
Answer:
7see below5the rule is not one-to-oneStep-by-step explanation:
Applying the squaring rule to each of the elements of the domain, we get ...
\(\begin{array}{cc}\text{Domain}&\text{Range}\\1&1\\-3&9\\-\frac{1}{2}&\frac{1}{4}\\3&9\\2&4\\\frac{1}{4}&\frac{1}{16}\\0.5&\frac{1}{4}\end{array}\)
__
1. There are 7 different numbers in the Domain list.
2. See above
3. There are 5 different numbers in the Range list.
4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.
write the expanded form for 0.064
Answers
Answer: 0.06 + 0.004
A researcher tests whether cocaine use increases impulsive behavior in a sample of cocaine-dependent and cocaine-inexperienced mice.
Independent Variable: ________
Quasi-Independent Variable: ________
Dependent Variable: ________
Answers
Answer:
Independent variable: Cocaine Use
Quasi-Independent Variable: Cocaine-dependent and cocaine-inexperienced mice
Dependent variable: Increase in impulsive behavior
Independent Variable: Cocaine use
Quasi-Independent Variable: Cocaine-dependent and cocaine-inexperienced mice (this is a quasi-independent variable because the researcher cannot manipulate whether a mouse is cocaine-dependent or not)
Dependent Variable: Impulsive behavior
36 is 30% of what number?
Answers
Answer:
83?
Step-by-step explanation:
For breakfast, Mr. Hill bought a cup of coffee for $1.39 and a bagel for $1.85. What was his total cost?
Answers
Answer:
$3.24
Step-by-step explanation:
Cost for the coffee + Cost for the bagel
$1.39 + $1.85
$3.24
lukes house is located at the point shown on the coordinate grid. kyles house is located 4 units left and 2 units up from lukes house plot a point on the coordinate grid to represent the location of kyles house.
Answers
The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.
The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.
If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).
Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.
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classify the angles below as acute, right, obtuse or straight
Answers
Answer:
Obtuse - over 90°
Acute - less than 90°
Right - 90°
Straight - 180°
1. Obtuse
2. Acute
3. Right
2. Acute angel
3. Right angle
NEED HELP WILL MARK BRAINLLIEST
QUESTION 15
Answers
Answer:
yesss
Step-by-step explanation:
Use the Distributive Property and mental math to find the product. 7(28)
I need this quick.
Answers
Answer:
196
Step-by-step explanation:
196
Jonah's fish tank has 14 topical fish. He buys more fish. Now the tank has 26 fish.In the first box, enter an equation to represent the number of new fish, f, that Jonah gets. Include the variable f in your equation.Equation______In the second box, enter the number of new fish represented by f in your equationNumber of new fish_____
Answers
After setting the the values we get:
Equation 1: 14+f=26
Equation 2: f = 12
Given, Jonah's fish tank has 14 topical fish.
He buys more fish. Now the tank has 26 fish.
Let the number of new fishes be f.
therefore, the equation is:
14+f=26
Now calculate the number of new fishes.
⇒ 14+f=26
arrange the like terms
⇒ f = 26-14
⇒ f = 12
hence the new fishes Jonah bought are 12.
Therefore we frame the required equations .
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PLEASE ANSWER ALL QUESTIONS WILL GIVE BRAINLY!!!!!
SHOW YOUR WORK PLS
Answers
6• 16 + 7
96+7
103 for the final answer for the first question
1.
2 ^ 4 = 16
16 × 6 = 96
96 + 7 = 103
2.
3 + 4 = 7
8 × 7 = 56
12 ^ 2 = 144
56 + 144 = 200
3.
14 - 6 = 8
8 ^ 2 = 64
64 × 6 = 384
4.
150 ÷ 5 = 30
30 × 6 = 180
180 + 8 = 188
hope this helps :))
PLEASE HELP. Last 3 times I asked people put spam, please do not this is urgent.
WILL MARK BRAINLIEST
Answers
Answer:
A) 2^12
Step-by-step explanation:
3x - y = 12
3(5) - 3 = 12
15 - 3 = 12
12 = 12
\(\frac{8^x}{2^y}\)
\(\frac{8^5}{2^3}\)
\(\frac{32768}{8}\)
4096
2^12