Answer:
2,4,3,1
Step-by-step explanation:
Y
2
0
A
с
B
o'
D
Which point is located at
(11.2)
The point that is located at the ordered pair (4, -2) is given as follows:
Point B.
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate.y is the y-coordinate.On the coordinate plane, we have that:
x is the horizontal coordinate.y is the vertical coordinate.Hence the coordinates for this problem are given as follows:
A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).
Missing InformationThe graph is given by the image presented at the end of the answer.
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You buy an electronic organizer that is on sale for 15% off
the original price of $20. What is the sale price?
Answer: The sell price is $3
Step-by-step explanation: If you multiply 20 x 15 = 300 divide by 100 equal 3
Given h(x)=x2-2, what is the value of h(-3)?
h(x) = x^2 - 2
h(-3) = (-3)^2 - 2
= 9-2
= 7
Find the first three nonzero terms of the Maclaurin series for the function and the values of x for which the series converges absolutely. f(x) = 4 sin x . ln(1 + x)
The interval of convergence is given as: ⟹|x|<1
What is Maclaurin series?
Given the values of the function's successive derivatives at zero, a Maclaurin series is a power series that enables one to construct an approximation of a function with input values close to zero.
We will utilize the common power series representation of the functions, such as sine and the logarithmic function, to find the first three non-zero terms of the Maclaurin series representation for the function. We shall multiply the terms of each expression to obtain the final expression.
\(sin(x) = x -\frac{x^3}{3!}+\frac{x^5}{5!} +\frac{x^7}{7!} +........= \sum_{n=0}^{\infty} (-1)^n\ \frac{x^{2n+1}}{(2n+1)!}\)
\(ln(1+x) = x -\frac{x^2}{2}+\frac{x^3}{3} +\frac{x^4}{4} +........= \sum_{n=0}^{\infty} (-1)^n\ \frac{x^{n+1}}{(n+1)}\)
The series representation shown above is only accurate when ⇒|x| < 1.
Given that;
f(x) = 4 sin(x) ln(1+x)
We are familiar with how functions are represented by power series:
\(sin(x) = x -\frac{x^3}{3!}+\frac{x^5}{5!} +\frac{x^7}{7!} +........= \sum_{n=0}^{\infty} (-1)^n\ \frac{x^{2n+1}}{(2n+1)!}\)
\(ln(1+x) = x -\frac{x^2}{2}+\frac{x^3}{3} +\frac{x^4}{4} +........= \sum_{n=0}^{\infty} (-1)^n\ \frac{x^{n+1}}{(n+1)}\)
The series representation shown above is only accurate when ⇒|x| < 1.
\(sin(x) ln(1+x) = [x -\frac{x^3}{3!}+\frac{x^5}{5!} +\frac{x^7}{7!} +........][x -\frac{x^2}{2}+\frac{x^3}{3} +\frac{x^4}{4} +........]\)
\(sin(x) ln(1+x) = x^2 -\frac{x^3}{3}+\frac{x^4}{4} +\frac{x^5}{5} +........\)
Finally, the function's power series representation is given as:
⇒ \(f(x) = 4 sin(x) ln(1+x) = 4 [x^2 - \frac{x^3}{2}+\frac{x^4}{6} +\frac{x^5}{6}+..... ]\)
The interval of convergence is given as: ⟹|x|<1.
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find the missing number 9:4::63: ?
Answer: 28
Step-by-step explanation:
28 is thhe missing number
a local food company produces yogurt in 3/4 tab cups 2 cups= 1 pint 2 pints= 1 quart 4 quarts= 1 gallon 8 fl oz= 1 cup The tubs of yogurt are sold for 75¢ each. Twenty percent of this is profit for the food company. How much profit does the company make on each tub? Enter the answer in decimal form.
Answer:
15cents.
Step-by-step explanation:
The cost of yogurt is $0.75
20% of this amount is the profit to the company
Profit = \(\frac{20}{100} * 0.75\)
= $0.15
So the profit to the company is 15cents.
Find the 7th term of the arithmetic sequence − 3 � + 5 −3x+5, 2 � + 3 2x+3, 7 � + 1 ,. . . 7x+1
The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.
What is the 7th term of the arithmetic sequence?To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:
(2x+3) - (-3x+5) = 5x - 2
This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:
a₇ = (-3x+5) + (7 - 1)(5x - 2)
Simplifying the equation:
a₇ = -3x + 5 + 30x - 12
a₇ = 27x - 7
Therefore, the 7th term of the arithmetic sequence is 27x - 7.
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At a particular school 20% of children travel by bus.
If this represents 280 children, how many children attend the school?
Answer:
1,400 children attend the school
Step-by-step explanation:
If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:
-> Please note that a percentage divided by 100 becomes a decimial
\(\frac{20}{280}=\frac{100}{x}\)
Cross multiply:
.2 * x = 280 * 1
.2x = 280
Divide both sides of the equation by .2:
1,400 children attend the school
We can check our work by multiplying 1,400 by 0.2:
1,400 * 0.2 = 280 ✓
I need help with this practice problem solving from the trig section in my ACT prep guide
Step 1
Find the polar coordinates of the rectangular coordinates
\((-\sqrt[]{3},1)\)To convert from the cartesian coordinates (x,y) to polar coordinates (r,θ), we use the following equation.
\(r^2=x^2+y^2\)\(\theta=arc\tan (\frac{y}{x})\)Step 2
We have;
\((x,y)=(-\sqrt[]{3},1)\)\(\begin{gathered} r^2=(-\sqrt[]{3})^2+1^2 \\ r^2=3+1 \\ r=\sqrt[]{4} \\ r=2 \\ \end{gathered}\)\(\begin{gathered} \theta=arc\tan (\frac{y}{x}) \\ \theta=arc\tan (\frac{1}{-\sqrt[]{3}}) \\ \theta=\arctan (\frac{1}{-\sqrt[]{3}}\times\frac{\sqrt[]{3}}{\sqrt[]{3}}) \\ \theta=\arctan \frac{\sqrt[]{3}}{-3} \\ \theta=-\frac{\pi}{6}+\pi \\ \theta=\frac{5}{6}\pi \end{gathered}\)The answer therefore is;
\((2,\frac{5\pi}{6})\)WHO EVER ANSWERS FIRST GETS BRAINLEST
When rolling a regular
six sided number cube
400 times, how many
times can you expect to
get a number greater
than one?
Answer: 99%?
Step-by-step explanation:
An experiment consists of casting a twenty–sided die (numbered 1 through 20) and observing the number that appears uppermost. Find the mean and variance of this experiment. (Round your variance to two decimal places.)
mean = ??
variance = ??
Rounded to two decimal places, the variance is 33.25.
What is the mean of a discrete uniform distribution?The mean of a discrete uniform distribution is given by the formula:
mean = (a + b) / 2
where a and b are the minimum and maximum values of the distribution. In this case, a = 1 and b = 20, so:
mean = (1 + 20) / 2 = 10.5
The variance of a discrete uniform distribution is given by the formula:
variance = (b - a + 1)^2 / 12
where a and b are the minimum and maximum values of the distribution. In this case, a = 1 and b = 20, so:
variance = (20 - 1 + 1)^2 / 12 = 399 / 12 = 33.25
Rounded to two decimal places, the variance is 33.25.
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Michael sang 12 songs. Every song was 3/8 minutes long. For how much time did he sing in total? Write your answer in simplest form.
Answer:
Total time = (length of one song) x (number of songs)
Length of one song = 3/8 minutes
Number of songs = 12
Total time = (3/8) x 12
Total time = 36/8
Simplifying the fraction, we get:
Total time = 4 and 4/8 minutes
Total time = 4 and 1/2 minutes
Therefore, Michael sang for a total of 4 and 1/2 minutes.
A storage bin in the shape of a rectangular prism has a volume of 5400 cubic inches the base area of the stores Venice 450 square inches what is the height of the storage bin
Answer:
12 inches
Step-by-step explanation:
The storage bin is in the shape of a rectangular prism.
Its volume is 5400 cubic inches and its base area is 450 square inches.
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
The product of the length and width gives the base area of the rectangular prism:
A = L * W
This implies that:
V = A * H
=> 5400 = 450 * H
H = 5400 / 450
H = 12 inches
The height of the bin is 12 inches.
Connor is a 400m runner His median time is
Answer: 57.8
Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8
Which sequence of transformations will map figure H onto figure H'
-8
7
-6
-5
-4-
-3
-2
1
-5-4-3-2-10 1 2 3 4 5 6 7 8 9 10 11 12 13
-1
-2
3 4
587
H
-9
-10
H'
O
Rotation of 180° about the origin, translation of (x + 10, y − 2)
reflection across x = -6
Rotation of 180° about the origin, translation of (x + 10, y − 2).
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across x = -6
The sequence of transformations that will map figure H onto figure H' is: Option B: the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.
How to find the sequence of transformation?We are given the coordinates of the hexagon as:
Points of Hexagon H → (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)
Points of Hexagon H' → (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)
The steps that can be used to transform the hexagon H into hexagon H' are:
Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.
Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.
Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.
Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.
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Which proportion could be used to find the missing side length?
Answer:
Step-by-step explanation:
ED : DL = FD : DM
or
ED / DL = FD / DM
FD = ED·DM / DL
FD = 88 · 84 / 48 = 154
What is the area of the kite?
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2
(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)
someone please help me, i dont know for sure if i got it right
Answer:
Your answer is A. the measure of angle 2 is 83° because angles 1 and 2 are corresponding angles.
if a 4 by 4 matrix has det a = ½, find det(2a) and det(-a) and det(a2 ) and det(a-1 )
- det(2A) = 8
- det(-A) = 1/2
- det(A^2) = 1/4
- det(A^-1) = 2
To find the determinants of the given matrices, follow these steps:
1. det(2A): Multiply the original determinant by the scalar raised to the power of the matrix size.
det(2A) = 2^n * det(A) = 2^4 * (1/2) = 16 * (1/2) = 8.
2. det(-A): Multiply the original determinant by the scalar raised to the power of the matrix size.
det(-A) = (-1)^n * det(A) = (-1)^4 * (1/2) = 1 * (1/2) = 1/2.
3. det(A^2): Raise the original determinant to the power of 2.
det(A^2) = (det(A))^2 = (1/2)^2 = 1/4.
4. det(A^-1): Invert the original determinant.
det(A^-1) = 1/det(A) = 1/(1/2) = 2.
In summary:
- det(2A) = 8
- det(-A) = 1/2
- det(A^2) = 1/4
- det(A^-1) = 2
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Is Figure A a reflection of figure b explain your reasoning
Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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Follow the steps to find the product of and 0.55.
Estimate the product of and 0.55.
1/4-
Convert the decimal 0.55 to a fraction.
V55/100
What is the product of the two numbers?
X 110/150 or 11/15
110/300 or 11/30
77/103
1) Estimate value of the product of 2/3 and 0.55 is, 2/3.
2) The fraction part is, 55 / 100
3) The product of the two numbers is, 11/30
We have to given that,
Estimate the product of 2/3 and 0.55.
And, Convert the decimal 0.55 to a fraction.
And, The product of the two numbers.
Now,
Estimate the product of 2/3 and 0.55,
So, we can round 0.55 to the nearest whole number, which is 1.
Then, multiply 2/3 by 1 to get an estimate of the product.
so, The correct answer is 2/3.
Now, we can convert the decimal 0.55 to a fraction,
= 0.55
= 55/100
= 11/20
Thus, The correct answer is, 55/100.
And, the product of 2/3 and 0.55,
= 2/3 x 55/100
= 110/300
= 11/30.
Hence, The correct answer is, 110/300 or 11/30
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Which of these answer choices can find the width
A. Width = (70 yd + 40 yd) /2
B. Width = (70 yd + 40 yd) /4
C. Width = (70 yd - 40 yd) /2
D.width = (70 yd - 40 yd) /4
Answer:
C
Step-by-step explanation:
2 (20)=40
70-40=30
30/2 = 15 actual width of both sides
P= 2l + 2w
What is 7/8 - 1/4 in simplest form?
Answer: 5/8
Step-by-step explanation:
You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.
Answer:
7/8 - 1/4 = 5/8
Step-by-step explanation:
The equation is 7/8 - 1/4 = ?
So you need to have a common denominator for both fractions in order to subtract the two.
In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.
Now you can subtract the two fractions because they both have a common denominator.
7/8 - 2/8 = 5/8
in a negatively skewed distribution of exam scores, bender scored at the mean, fry scored at the median, and lela scored at the mode. who had the highest score?
Lela had the highest score.
Now, According to the question:
A skewed distribution is neither symmetric nor normal because the data values trail off more sharply on one side than on the other. In business, you often find skewness in data sets that represent sizes using positive numbers.
In a negatively skewed distribution, higher values are more frequent than lower values causing the distribution to present a longer left-tail. This implies in a median higher than the mean and in a mode higher than the median:
mean < median < mode.
Therefore, since Lela scored at the mode, Lela had the highest score.
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A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 13 cubic feet. A total of 19 boxes of paper were
shipped with a combined volume of 156 cubic feet. Determine the number of small
boxes shipped and the number of large boxes shipped.
There were
Submit Answer
small boxes shipped and
large boxes shipped.
There were 13 small boxes shipped and 6 large boxes shipped.
Let's denote the number of small boxes as 's' and the number of large boxes as 'l'.
According to the given information, the volume of each small box is 6 cubic feet, so the total volume of all small boxes can be calculated as 6s cubic feet.
Similarly, the volume of each large box is 13 cubic feet, so the total volume of all large boxes can be calculated as 13l cubic feet.
We are also given that the combined volume of all the boxes is 156 cubic feet, so we can write the equation:
6s + 13l = 156 ...(1)
Additionally, we know that a total of 19 boxes were shipped, so we can write another equation:
s + l = 19 ...(2)
Now, we have a system of equations (equation 1 and equation 2) that we can solve simultaneously to find the values of 's' and 'l'.
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method here.
From equation 2, we can rewrite it as s = 19 - l.
Substituting this value of s into equation 1, we get:
6(19 - l) + 13l = 156
Simplifying the equation:
114 - 6l + 13l = 156
Combining like terms:
7l = 42
Dividing both sides by 7:
l = 6
Now, we can substitute this value of l back into equation 2 to find the value of s:
s + 6 = 19
s = 13
The number of small boxes shipped is 13, and the number of large boxes shipped is 6.
There were 13 small boxes shipped and 6 large boxes shipped.
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GEOMETRY. Name a Pair of Parallel AND PERPENDICULAR lines.
Answer:
I'm certain that it's AB and HI
Step-by-step explanation:
Answer: Parallel: AB and HI
Perpendicular: GE and AE
Step-by-step explanation:
Which expression can be used to check the answer to 56 divided by (negative 14) = n?
Negative 14 times n
n divided by (negative 14)
56 times (negative 14)
n divided by 56
Answer:
-14 x -4
Step-by-step explanation:
i did the quiz lol
Answer:
A
Step-by-step explanation:
took the quiz, hope this helps.
If 3x² + 5x = 2, what is one possible value for x?
A 1/5
B 1/3
C 1/2
D 1
E 3
Answer: B
Step-by-step explanation: