Answer:
720 degrees
Step-by-step explanation:
total angles =(180 x number of sides)-360=(180 x 6)-360=720 degrees
hexagon/sox-sided irregular polygon
sum of interior angles=720°
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ PLZ PLZ HELPPPPPPPP
ILL MARK BRAINLEST
Answer:
The third option: Account A balance is linear. Account B balance is nonlinear. Account B will have a greater balance in Year 3.
Step-by-step explanation:
HOPE THIS HELPS!
Answer:
Account balance A is linear. Account balance B is nonlinear. Account A will have a greater balance in year 3. (1st option)
Step-by-step explanation:
account a is constantly increasing by the same number each year, making it linear.
A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet of stringed lights does Holly need? Use 3.14 for π.
Answer:
37.68
i took the test hope this helped
Vectors A, B, C, and D are shown in the figure to the right. Each mark line in the graph represents a one-meter unit. (a) Give all the vectors in unit vector components form. ("
The given figure displays the vectors A, B, C, and D, each unit representing one meter: Vector A is shown in the figure and we need to find its unit vector components.
To obtain the unit vector components of vector A, we use the formula below:
i = Axi / A ... equation (1)
j = Ayi / A ... equation (2)
Axi is the x-component of A, Ayi is the y-component of A, and A is the magnitude of A. Using the components shown in the graph and the magnitude formula.
The unit vector components are thus given by:
i = 3 / 5 and j = 4 / 5
Vector B is shown in the figure and we need to find its unit vector components
The unit vector components are thus given by:
\(i = 2 / (2√10) = 1 / √10 and j = 6 / (2√10) = 3 / √10\)
Vector D is shown in the figure and we need to find its unit vector components.
To obtain the unit vector components of vector D, we use the formula below
i = Dxi / D ... equation (7)
j = Dyi / D ... equation (8)where Dxi is the x-component of D, Dyi is the y-component of D, and D is the magnitude of D.
Using the components shown in the graph and the magnitude formula, we find that \(D = √(3² + 3²) = 3√2.\)
The unit vector components are thus given by\(:i = 3 / (3√2) = 1 / √2 and j = 3 / (3√2) = 1 / √2\)
the unit vector components of vectors A, B, C, and D are as follows:
\(Vector A: i = 3 / 5 and j = 4 / 5Vector B: i = 1 / √2 and j = 1 / √2Vector C: i = 1 / √10 and j = 3 / √10Vector D: i = 1 / √2 and j = 1 / √2.\)
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Write the compound inequality as an absolute value inequality. 0.1187 ≤ d ≤ 0.1190
The compound inequality \(0.1187 \leq d \leq 0.1190\) can be written as the absolute value inequality \(|d - 0.11885| \leq 0.00005\).
To write the compound inequality 0.1187 ≤ d ≤ 0.1190 as an absolute value inequality, we can express the range between the two values using absolute value notation.
First, let's find the midpoint between the two values:
\(Midpoint =\frac{ (0.1187 + 0.1190)}{2} = 0.11885\)
Now, we can rewrite the compound inequality as an absolute value inequality centered around the midpoint:
\(|d - 0.11885| \leq 0.00005\)
This absolute value inequality states that the distance between d and the midpoint 0.11885 is less than or equal to 0.00005. It ensures that d falls within the range of 0.1187 to 0.1190.
So, the compound inequality \(0.1187 \leq d \leq 0.1190\) can be written as the absolute value inequality \(|d - 0.11885| \leq 0.00005\).
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What is equivalent to the expression
Answer:
B is your answer
Step-by-step explanation:
I believe the correct answer is B
s/a = 4; l/a = 0.20; i/e = 0.10; a = l e and a = 100. find i/s.
The value of i/S is 0.02.
Therefore the answer is 0.02.
Given the information, we can first find the value of e, using the equation a = l + e, where l/a = 0.20 and a = 100:
e = a - (l/a) * a = 100 - (0.20 * 100) = 100 - 20 = 80
Next, we can find the value of i using the given information i/e = 0.10:
i = i/e * e = 0.10 * 80 = 8
Finally, we can find the value of i/S using the equation i/S = i / (S/a) * a = 8 / (4 * 100) = 8 / 400 = 0.02.
So, the value of i/S is 0.02.
--The question is incomplete, answering to the question below--
"S/a = 4; l/a = 0.20; i/e = 0.10; a = l + e and a = 100. find i/S."
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Please help :(( I’ve been stuck on this for like an hour
Answer:
A ∪ B = (-∞, 3) ∪ [6, ∞)
A ∩ B = ∅
Step-by-step explanation:
The union of the two sets is the set of values in one or the other or both.
A ∪ B = (-∞, 3) ∪ [6, ∞)
The intersection of the two sets is the set of values in both. Here, the sets do not overlap, so the intersection is the empty set.
A ∩ B = ∅
_____
Additional comment
Interval notation uses an ordered pair to specify the range of values in the interval of interest. A round bracket (parenthesis) is used when the end value is not included in the interval. A square bracket [ ] is used when the end value is in the interval. Infinity is always accompanied by a round bracket, The first member of the pair is the left end of the interval on the number line.
For example, the range -∞ < x < 3 is noted by (-∞, 3).
What is the formula for the following arithmetic sequence?
12, 6, 0, -6, ...
a. an = 12 + (-6)( n - 1)
b. an = -6 + 12( n - 1)
c. an = 6 + 12( n - 1)
d. an = 12 + 6( n - 1)
When a ball is dropped it bounces and then rises. The ball rises to 90% of the height from which it is dropped. The ball is dropped from a height of 4m. A) calculate the height of the rises after the first bounce. B) calculate the height of the rise after the second bounce. The ball carries on bouncing each time rising to 90%of the last rise C) for how many bounces does it rise to height greater than 1m
Answer:
A) 3.6 meters
B) 3.24 meters
C) 13 Times
Step-by-step explanation:
:)
2. In the figure, x is an exterior angle to the triangle below.
(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m
Answer:
Answer:
a) Exterior Angle Theorem
b) x = 109°
Step-by-step explanation:
For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.
(I had used the HSEAT to explain this.)
a market researcher wants to evaluate car insurance savings at a competing company. based on past studies he is assuming that the standard deviation of savings is $100. he wants to collect data such that he can get a margin of error of no more than $10 at a 95% confidence level. how large of a sample should he collect?
The market researcher should collect a sample size of at least 97 to get a margin of error of no more than $10 at a 95% confidence level, assuming a standard deviation of $100.
To calculate the required sample size, we use the formula:
n = (Z^2 * σ^2) / E^2
Where:
n = sample size
Z = the Z-score for the desired confidence level (in this case, 1.96 for 95%)
σ = the standard deviation of savings ($100)
E = the desired margin of error ($10)
Plugging in the values, we get:
\(n = (1.96^2 * 100^2) / 10^2 = 96.04\)
Since we cannot have a fractional sample size, we round up to the nearest whole number and get a required sample size of 97.
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Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
\(\frac{24}{7}\)
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
\(Sine=\frac{Opposite}{Hypotenuse}\)
CAH stands for-
\(Cosine=\frac{Adjacent}{Hypotenuse}\)
TOA stands for-
\(Tangent=\frac{Opposite}{Adjacent}\)
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
\(tan74=\frac{24}{7}\)
So the answer would be \(\frac{24}{7}\)
Seeing as how you picked \(\frac{7}{24}\) as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used \(tangent=\frac{adjacent}{opposite}\) as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
You had $2500 in your bank account and withdrew $500. a. What percent of the amount in your bank account was withdrawn? (In other words, $500 is what percent of $2500?) _______% of the balance was withdrawn
You had $2500 in your bank account and withdrew $500. 20% (percentage) of the balance was withdrawn.
To find the percentage of the amount in the bank account that was withdrawn, we can use the formula:
percentage = (amount withdrawn / initial amount) x 100%
Substituting the given values, we get:
percentage = (500 / 2500) x 100%
percentage = 0.2 x 100%
percentage = 20%
Therefore, 20% of the balance was withdrawn.
Percentage is a mathematical expression for expressing is a quantity as a fraction of 100. It is extensively used in finance, economics, science, maths and statistics to represent ratios, percentage, proportions, and rates .
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How do you convert raw score to LSAT?
Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.
Here's a general overview of the process of converting a raw score to a scaled LSAT score:
- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.
- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.
- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.
It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.
Step-by-step explanation:
engineers must consider the diameters of heads when designing helmets. the company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.4% or largest 1.4%. what is the minimum head diameter that will fit the clientele? min
The largest head diameter that can accommodate the clientele is 8.5743
Mean, u = 6.4
Standard deviation = 0.9
We must utilize the inverse of the common normal table to obtain our values.
the smallest head width possible.
P(Z < z) = 1.4%
P(Z < z) = 0.014
P(Z < -2.0749) = 0.014
z = -2.0749
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
We already have:
z = -2.0749
u = 6.5
s.d = 1
Replacing numbers,
x = (-2.0749 × 1) + 6.5
x = 4.4251
The clientele requires a minimum head breadth of 4.4251.
The largest head width that can be accommodated.
P(Z > z) = 1.4%
1 - P(Z < z) = 0.014
P(Z < z) = 1 - 0.014 = 0.981
P(Z < 2.0749) = 0.981
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
z = 2.0749
u = 6.5
s.d = 1
Substituting figures,
x = (2.0749 × 1) + 6.5
x = 4.4251
x = 8.5743
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In the data set below, what is the median
please help me before i fail!! Find the solution(s) of the following equation.
c^2 = 144/169
Choose all answers that apply:
A) c = 12/13
B) c = -12/13
C) c = 14/15
D) c = -14/15
E) None of the above
Answer: A or B but really A
Step-by-step explanation:
c² = 144/169
√c² = √144/169
c = 12/13
or
-12/13² = 144/169
Hope that helped! I recommend choosing A
The solutions to the equation c² = 144/169 are c = 12/13 and c = -12/13, as they satisfy the equation when substituted into it. Thus, options A and B are the correct answers.
The equation is given as follows:
c² = 144/169
To find the solutions of the equation c² = 144/169, we can take the square root of both sides of the equation.
√(c² = ±√(144/169)
Since the square root of a number can be positive or negative, we have two possibilities for the solutions:
c = ±√(144/169)
Simplifying the square root of 144/169 gives:
c = ±(12/13)
So, the solutions to the equation are:
A) c = 12/13
B) c = -12/13
Therefore, options A and B are the correct answers.
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the tree diagram below shows the probabilities for the simple events combining weather patterns and seasons of the year
The tree diagram illustrates the probabilities associated with different combinations of weather patterns and seasons of the year. The tree diagram is a visual representation that presents the probabilities of various outcomes resulting from the combination of weather patterns and seasons of the year.
It is a useful tool for understanding the likelihood of specific events occurring based on different factors.
The diagram is structured hierarchically, with the weather patterns forming the first level and the seasons of the year forming the second level. Each branch represents a specific combination, and the probability associated with that combination is indicated on the branch.
By analyzing the diagram, one can observe how the probabilities change depending on the weather patterns and seasons. For instance, certain weather patterns may be more prevalent during specific seasons, resulting in higher probabilities for certain combinations.
Overall, the tree diagram serves as a visual aid to comprehend the probabilities associated with simple events combining weather patterns and seasons of the year, enabling a better understanding of the likelihood of different outcomes based on these factors.
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As part of a science experiment, a student recorded 10 measurements of the temperature of a liquid. One of the measurements was an outlier when compared with the other 9 measurements. Which of the following must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements? (Note: An outlier is any number that is greater than the upper quartile or less than the lower quartile by at least 1.5 times the interquartile range.) (A) The median of the 9 measurements is less than the median of the 10 measurements. (B) The median of the 9 measurements is greater than the median of the 10 measurements. (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements. (D) The maximum of the 9 measurements is greater than the maximum of the 10 measurements. (E) The standard deviation of the 9 measurements is less than the standard deviation of the 10 measurements.
Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.
An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.
In this case, one of the measurements among the 10 is identified as an outlier.
When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.
It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.
The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.
Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.
The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.
Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.
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Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = the true long-run proportion of five's produced by the calculator. What is the approximate P-value for this test? (a) -2.24 (b) -2.98 (c) 0.0028 (d) 0.0127 (e) 0.0250
The approximate P-value for this test is D. 0.01267.
How to calculate the p value?From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.
The p(cap) will be:
= 8 / 80
= 0.1
The z score will be:
= (0.1 - 0.2) / (✓0.2(0.8)/80
= -0.1 / ✓0.0019
= -2.236
= -2.24
By using the distribution table after getting the z score, the p value is 0.01267.
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Question 5 Use the rules of differentiation to find the derivative of the function y (6x + 1)5 + 30x(6x + 1)ª (6x + 1)² (36x + 1) 1 X 6 No correct answer provided. = X x(6x + 1)5.
The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴
To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.
For the first term x, the derivative is simply 1.
For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.
For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.
Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.
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Complete question:
Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵
(6x + 1)⁵ + 30x(6x + 1)⁴
(6x + 1)⁴ (36x + 1)
x-1/6
No correct answer provided.
What is the slope of the line that passes through the points (9, 1)(9,1) and (10, -1)(10,−1)? Write your answer in simplest form.
The slope of the line that passes through the points (9, 1) and (10, -1) is -2.
To find the slope of the line that passes through the points (9, 1) and (10, -1), we can use the slope formula:
slope = (change in y) / (change in x)
In this case, the coordinates of the first point are (x1, y1) = (9, 1), and the coordinates of the second point are (x2, y2) = (10, -1).
Now, we can calculate the change in y and the change in x:
change in y = y2 - y1 = (-1) - 1 = -2
change in x = x2 - x1 = 10 - 9 = 1
Now, we can plug these values into the slope formula:
slope = (change in y) / (change in x) = (-2) / 1 = -2
So, the slope of the line is -2.
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Find the angle between the vectors <6, 3> and <-5, -3> to the nearest tenth of a degree.
a) 77.8
b) 175.6
c) 87.8
d) 185.6
e) 126.5
this is your explanation and answer.
Eight times the difference of 2 and a number
Answer: meh
Step-by-step explanation:
Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations.
Answer:
1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.
2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.
3.) Because of the negative interest, the compounded amount is only $695,929.30.
4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.
Step-by-step explanation:
If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.
To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the gym. Finally, he walked 615 feet back to his house from the gym.
A triangle has points gym, Lin apostrophe s house, and lecture hall. The distance between the lecture hall and gym is 910 feet. The distance between the gym and Lin apostrophe s house is 615 feet. The distance between the lecture hall and Lin apostrophe s house is 651 feet.
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
Lin walked south, creating a right triangle.
Lin walked southwest, creating an obtuse triangle.
Lin walked southeast, creating an acute triangle.
Lin walked directly east, creating a right triangle.
The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.
How to interpret distance bearing?
We are given;
Distance between the lecture hall and gym = 910 feet.
Distance between the gym and Lin apostrophe's house = 615 feet.
Distance between the lecture hall and Lin apostrophe's house = 651 feet.
Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.
Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.
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Solve this equation please :)
The ratio of BE/BC is 1:3.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
In triangle ABC, the ratio of FA and CF is 1:2.
Since, the point G is the midpoint of BF,
Implies that G divides BF in ratio 1:1.
By using mass point geometry,
The ratio of BE/BC=1:3
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What is the probability that a randomly selected person who tested positive for the flu is vaccinated? startfraction 465 over 2,321 endfraction startfraction 465 over 1,236 endfraction startfraction 465 over 950 endfraction startfraction 465 over 485 endfraction
Answer:
49%
Step-by-step explanation:
465 + 485 = 950
465/950 = .489
.489 * 100 = 48.9, round up for 49 to get 49%, since it's only focused on people who tested positive, you would only have to compare the people in that column
Answer: b
Step-by-step explanation:
Kona Ice arrives for Jones Middle School students during lunch 54 days out of the total 180 days of the school year. What percent does Kona Ice come to Jones Middle School?