For the given function, we have that:
The domain is [-4,4].The zero is at (0,0).The function is positive if x < 0.The function is negative if x > 0.What is the domain of the function?The domain of a function is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this problem, the function is defined between x = -4 and x = 4, hence the domain is [-4,4].
What are the zeros of a function?
The zeros are the values of x for which f(x) = 0, that is, when it crosses the x-axis.
Hence, for this problem, the zero is at (0,0).
The function is positive when it is above the x-axis, and negative when it is below, hence:
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A right rectangular prism is sliced in a way such that the plane passes through the prism at a slant. what is the resulting cross section?
The resulting cross section of the prism will be a parallelogram.
When a right rectangular prism is sliced in a way such that the plane passes through the prism at a slant, the resulting cross section is a parallelogram. This is because the intersection of a plane and a rectangular prism that is not parallel to any of its faces is always a parallelogram.
The shape and size of the parallelogram will depend on the orientation of the plane and the dimensions of the prism. Since the prism is a right rectangular prism, the opposite faces are parallel and congruent, and so are the opposite edges of the parallelogram cross section.
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What are the perimeter and the area of a rectangle that is 3/4 yd long and a 1/3 yard wide
The perimeter and area of the rectangle are 13 / 6 yards and 1 / 4 yard² respectively
How to find the perimeter and area of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The perimeter of a rectangle is the sum of the whole 4 sides of the rectangle.
Therefore,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
perimeter of the rectangle = 2(3 / 4 + 1 / 3)
perimeter of the rectangle = 2 ( 9 + 4/ 12)
perimeter of the rectangle = 2(13 / 12)
perimeter of the rectangle = 26 / 12
perimeter of the rectangle = 13 / 6 yards
Area of the rectangle = lw
Therefore,
Area of the rectangle = 3 / 4 × 1 / 3
Area of the rectangle = 3 / 12
Area of the rectangle = 1 / 4 yard²
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A negatively charged balloon moves close to another balloon. They then repel each other. What can be said about the other balloon? (2 points)
A: Both balloons have a positive charge.
B: It has a negative charge.
C: The balloon is uncharged.
D: There is a positive charge.
The repulsion between two negatively charged objects is an indication that the other object must be negatively charged. Thus, the correct answer is B: It has a negative charge.
This is due to the fact that like charges repel each other, while opposite charges attract each other. In this case, the negatively charged balloon repels the other balloon, indicating that the other balloon is also negatively charged. So, the correct answer is B).
The other options are incorrect. Option A is incorrect because both balloons cannot be positively charged as they would attract each other, not repel. Option C is incorrect because an uncharged object would not repel a negatively charged object. Option D is incorrect because a positively charged object would attract the negatively charged balloon, not repel it.
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Oliver is working this summer. His job pays $7.25 per hour. He will be working
15 hours per week and he'll be working for 14 weeks. How much money will
he make before any deductions are made from his pay?
Answer:
$1522.5
Step-by-step explanation:
(7.25 x 15)14
(108.75)14
= 1522.5
what critical value should we use to build a 95% confidence interval for our phishing sample data? round the answer to 2 decimal places
To build a 95% confidence interval for phishing sample data, we would use a critical value of 1.96. This is based on the standard normal distribution and ensures that 95% of the data falls within the interval. Rounded to 2 , the critical value is 1.96.
Here's how you can find the critical value:
1. Determine the desired confidence level (in this case, 95%).
2. Look up the corresponding Z-score in a standard normal table (or use a calculator/online tool) for a two-tailed test.
3. Since 95% of the data lies within the middle, there will be 2.5% in each tail (100% - 95% = 5%, divided by 2 tails = 2.5%).
4. The corresponding Z-score (critical value) for 97.5% (95% + 2.5%) is approximately 1.96.
Therefore, the critical value you should use for constructing a 95% confidence interval for your phishing sample data is 1.96, rounded to two decimal places.
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which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42
Answer:
\(7( - 7 + 6m) + 9\)
If f (x)
-3x + 2 and g (2) = x + 1 find g(f(x)) please helppp
\(\left \{ {{f(x)=-3x+2} \atop {g(x)=x+1}} \right.\)
To find g(f(x)), Substitute f(x) in g(x).
\(g(-3x+2)\)
Then substitute x = -3x+2 in g(x) = x+1
\(g(-3x+2)=(-3x+2)+1\\g(-3x+2)=-3x+2+1\\g(-3x+2)=-3x+3\)
Therefore, the answer is \(g(f(x))=-3x+3\)
puzzle 4 can you find the slope intercept equation of each line and type the correct code
Equation of line: y = -3/4 x + 3. Here , slope m = -3/4 and y intercept is 3.
Explain about the slope intercept equation?We need to knowing the slope of the line and indeed the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Suppose a straight line with y-intercept b and slope m. For one straight line with slope "m" and y-intercept "b," the slope intercept program is designed is: y = mx + b.
Given coordinates are:
(2,3) and (4,0).
Slope m = (y2 - y1)/(x2 - x1)
m = (0 - 3)/(4 - 0)
m = -3/4
Equation of line:
y - y1 = m(x - x1)
y - 0 = -3/4(x - 4)
y = -3/4 x + 3
Here , slope m = -3/4 and y intercept is 3.
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Complete question:
Find the slope intercept equation of line passing through (2,3) and (4,0).
the quotient of 254 and k is 94
Answer:
k is 23876
Step-by-step explanation:
you have to multiply 254 and 94 by eachothe then that's your answer!
Please help me ASAP I’m really confused
an open-top box is to be made by cutting small congruent squares from the corners of a 10- in.-by-10-in. sheet of tin and bending up the sides. how large should the squares cut from thecorners be to make the box hold as much as possible? what are the dimensions of the box withthe largest volume?
the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.
Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:
V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x
To maximize V, we take the derivative of this expression and set it equal to zero:
dV/dx = 12x^2 - 80x + 100 = 0
Solving for x using the quadratic formula, we get:
xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76
The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.
The dimensions of the box with the largest volume are:
Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches
Height = x = 5.76 inches
Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.
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In Exercises, determine whether b is in col(A) and whether w is in row(A), as in Example 3.41.A=[1 0 -1], b= [3], w = [-1 1 1][1 1 1] [2]
To determine whether a vector b is in the column space of a matrix A, we need to check if there exists a solution to the system Ax=b. we can express w as a linear combination of the row vectors of A. Hence, w is in row(A) and b is not in col(A).
If a solution exists, then b is in col(A). If a solution does not exist, then b is not in col(A). Let's apply this to the given problem. We have A = [1 0 -1] and b = [3].
To check if b is in col(A), we need to solve the system Ax=b. This gives us the equation: (1)x + (0)y + (-1)z = 3 where x, y, and z are the unknowns. Rearranging this equation, we get: x - z = 3 This is a linear equation in two variables, x and z.
It represents a line in the x-z plane. We can see that this line does not pass through the origin, which means that there is no solution to this equation in the form of Ax=b.
Therefore, b is not in col(A). To determine whether a vector w is in the row space of a matrix A, we need to check if w can be expressed as a linear combination of the row vectors of A. If w can be expressed in this form, then w is in row(A).
Therefore, we can express w as a linear combination of the row vectors of A. Hence, w is in row(A).
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Write an expression equivalent to m+m+m+m that is sum of two terms
the answer is 4m
and 2 plus 2 is 4
i don't know if I'm right
The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
Consider the following equation.
9x + 3y = 6
On a recent Algebra test, Brian was asked to rewrite the equation in slope-intercept form
The slope of the equation is
The y-intercept is
Answer: The slope is -3 and the y- intercept is (0,2)
Step-by-step explanation:
Question 4 Part A (2 points): Landon has $16 and wants to buy a combination of sandwiches and chips to feed his 4 teammates. Each sandwich costs $4 and each bag of chips costs $2. This system of inequalities models the scenario.
4x + 2y ≤ 16
x + y ≥ 4
Describe the graph of the system.
A.
A graph of two solid lines that intersect at point (0, 4).
B.
A graph of two solid lines that intersect at point (4, 0).
C.
A graph of one solid line and one dashed line that intersect at point (0, 4).
D.
A graph of one solid line and one dashed line that intersect at point (4, 0).
The correct statement about the graph is,
A graph of two solid lines that intersect at point (4, 0).
Given that;
This system of inequalities models the scenario.
4x + 2y ≤ 16
And, x + y ≥ 4
Now, We can draw the inequalities in graph, we get;
The intersection point of the inequality is, (4, 0)
Thus, The correct statement about the graph is,
A graph of two solid lines that intersect at point (4, 0).
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A regular polygon has exterior angles of 60°
What is the sum of the polygon’s interior angles?
Answer:
720°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 60 to find number of sides (n)
n = 360° ÷ 60° = 6
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
The sum of the exterior angles of a regular polygon is 360º
Each exterior angle of a regular polygon is 60º/n
360º/n=60º
360/60=n
6=n
A polygon with 6 sides is a hexagon.
Use the formula (n-2)×180
(6-2)*180=4*180=720º
another solution...
you have 6 interior angles (hexagon)
if an exterior angle is 60º, the corresponding interior angle is 180-60=120º
you have 6 of these 120º angles
6*120=720º
Sam makes $15 for every lawn that he mows. He
makes an additional $16 each day because his
neighbor always gives him a tip. If Sam mows 9 lawns
today, how much does he make? Write and evaluate
an expression. Show your work.
165 miles in 3 hours. How many miles in 9 hours
Answer:
495
Step-by-step explanation:
165/3=495/9
So 495 miles
Answer:
495
Step-by-step explanation:
3 = 9
165 x
9 x 165 = 1485
1485 / 3 = 495
find the support and confidence of this transaction
A = I2, B = I3
Let 1 = {1,, I, I...... 1.} be a set of items, where I, denotes an item ID. Consider the transaction database D, defined in the table below: Transaction ID List of Items in the Transaction T₂ I, I,
For confidence interval: support of the association rule A to B is 0.5 and the confidence of the association rule A to B is 0.5.
For Support and confidence of the association rule A - B
To determine the support and the confidence of the association rule A → B, where A = {1, }, B = {1}, we use the formulas given below:
Support(A → B) = frequency of (A, B) / N
Confidence(A → B) = frequency of (A, B) / frequency of A
where N is the number of transactions in the database.
To find the frequency of (A, B) and the frequency of A.
Thus Frequency of (A, B) = 1
Since there is only one transaction in the database where both A and B occur, the frequency of (A, B) is 1.
Frequency of A = 2
The itemset {1, } occurs in two transactions T₁ and T₂.
Hence, the frequency of A is 2.
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Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
Michael has $250. He increases his money by 25% and again by 10 %. What was the overall percentage increase in his money ?
Answer:
His money increased by 6.25, his overall percentage increase is 35
Step-by-step explanation:
250 x 0.25 x 0.10 = 6.25
Is the point (3, −5) within the shaded region?
The answer must be true or false
Answer:
its false
Step-by-step explanation:
Describe the successive approximation and bisection method to solve the equation P(x)=0
The successive approximation and bisection methods are two common methods to solve the equation P(x) = 0. This method is iterative.
Successive approximation and bisection method are common methods to solve the equation P(x) = 0. The successive approximation method is one of the simplest numerical methods that can be used to obtain the approximate value of the root of an equation.
It is also called the iteration method. It is based on the concept that when an equation has a root, a new approximation to that root can be obtained by using the previous approximation. The bisection method is another numerical method that can be used to find the roots of an equation. It is based on the fact that if a continuous function f(x) changes sign between two points a and b, it must have at least one root between a and b.
The bisection method is a simple and robust algorithm that can solve many equations. It works by dividing the interval [a, b] into two sub-intervals and then determining which sub-intervals contain a root. This process is then repeated with the new interval until the desired level of accuracy is achieved.
The successive approximation and bisection methods commonly solve the equation P(x) = 0. These methods are iterative, and they involve selecting a starting value and then applying a formula to obtain a new value closer to the root.
The bisection method is based on the fact that if a continuous function f(x) changes sign between two points a and b, it must have at least one root between a and b. These methods are simple and robust and can be used to solve a wide range of equations.
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An absolute value question:
The solution to an absolute value inequality is all real numbers. Then the correct options are -
Option A: The inequality could be lx - 4| ≥ -24.
Option F: The inequality could be -3 |x - 7| -2 < 10.
What is an inequality?
An inequality in algebra is a mathematical statement that employs the inequality symbol to show how two expressions relate to one another. The phrases on either side of an inequality symbol are not equal. The phrase on the left should be larger or smaller than the expression on the right, or vice versa, according to this symbol.
An absolute value inequality must not impose any limitations on the value of the absolute value expression if the answer contains only real values.
This implies that any positive real integer can be used as the absolute value statement.
Option A: The inequality |x - 4| -24 has an absolute value expression with a non-negative absolute value, hence it satisfies the requirement that the solution set only consist of real values.
Option B and Option E both refer to the solution set's graph as a number line with a 2-value gap.
To know whether the solution set only contains real numbers, however, more information is required.
Depending on the particular absolute value disparity, the range of the number line could be anything.
Option C: Because of the negative absolute value statement of the inequality -4 |x - 11| - 3 ≥ 9, the left-hand side can never be less than 3.
As a result, the solution set has a lower bound and cannot include only real values.
The inequality |x - 12| ≤ -48 has a non-negative absolute value expression, but an absolute value expression cannot be less than or equal to a negative number, as shown in Option D.
There are therefore no effective remedies for this inequity.
Option F: Because the inequality -3 |x - 7| - 2 < 10 has an absolute value expression that is not negative, it satisfies the requirement that the solution set only contain real numbers.
As a result, choices A and F are the proper ones.
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Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her
harvest. She takes a random sample of 11 of these pumpkins and finds they have a mean weight of 44 kg and a
standard deviation of 6.7 kg. The weights in the sample were roughly symmetric with no outliers.
Answer:
44+-3.169(6.7/root11)
Step-by-step explanation:
The 99% confidence interval for the mean weight in kg of pumpkins grown by Fiona in the harvest for the provided sample is,
\(44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}\)
What is mean and standard deviation?The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her harvest.
She takes a random sample of 11 of these pumpkins. Here, the sample size is 11 which is less than 30. Thus, use the formula mentioned below.
\(\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}\)
Here, (n) is the sample size, \(\overline x\) is the mean of the sample.
Degree of freedom is,
\(DF=11-1=10\)
For this, the value of t from the t table is 3.169 for 99% confidence interval.
The mean weight of 44 kg and a standard deviation of 6.7 kg they find. Put these values in the above formula,
\(\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}=44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}\)
Thus, the 99% confidence interval for the mean weight in kg of pumpkins in the harvest for the provided sample is,
\(44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}\)
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Eli mixed 9/17 of water with 6/25 gallons of water about how many gallons of soution did
The gallons of solution prepared by Eli by mixing 9/17 of water with 6/25 gallons of water is equal to 0.7694 gallons of solution.
Quantity of water mixed by Eli = 9/17 of water
Both quantities should be expressed in the same units.
Let's convert 9/17 of water and 6/25 gallons of water to a common unit, such as hundredths of a gallon we get,
9/17 of water
= (9/17)× 100/100 gallons of water
= 900/1700 gallons of water
6/25 gallons of water
= (6/25) × 40/40 gallons of water
= 240/1000 gallons of water
Now, Add the two quantities,
900/1700 gallons of water + 240/1000 gallons of water
= ( 9000 + 4080 ) / 17000
= 13080 /17000
=0.7694 gallons of solution.
Therefore, gallons of solution prepared by Eli is approximately equals to 0.7694 gallons of solution.
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The above question is incomplete, the complete question is,
Eli mixed 9/17 of water with 6/25 gallons of water about how many gallons of solution did Eli prepared?
Find the area of 6cm 3cm square
Answer:
18cm^2
Step-by-step explanation:
If it's a rectangle with side lengths of 6 and 3 cm then Multiply two sides together --> 18 cm^2
Answer:
18cmsquare
...
.
.
Step-by-step explanation:
Multiply both the cm ...
Matt has exactly $1.60 in his pocket. He only has nickels and dimes. There are twice as many nickels as dimes. What is the number of coins in Matt's pocket?
Answer:
24 coins
Step-by-step explanation:
We give the dimes a unknown number like y since the nickels are twice as much we give it 2y we multiply the numbers with their value and form an equation like 2y×5+y×10=160 find the value of y then get value of 2y+y to get the number of coins
All the dimensions of a cube increase by a factor 3/2 how many times greater is the surface area? explain
If all the dimensions of a cube increase by a factor of 3/2, the surface area will increase by a factor of 9/2.
If all the dimensions of a cube increase by a factor of 3/2, then the new dimensions of the cube will be 3/2 times the original dimensions.
Let's say the original side length of the cube was "s". Then the new side length would be (3/2)*s.
The surface area of a cube is given by the formula 6s^2, where s is the side length.
So the original surface area of the cube would be:
6s^2
And the new surface area of the cube would be:
6(3/2s)^2
= 6(9/4)s^2
= 27/2 s^2
To find how many times greater the new surface area is compared to the original surface area, we can divide the new surface area by the original surface area:
(27/2 s^2) / (6s^2)
= (9/2)
So the new surface area is 9/2 times greater than the original surface area.
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