Answer:
1231938-481881388111
Z1 and Z2 are vertical angles, mZ1 =(9x + 22)° and mZ2 =(14x - 18)". What is the value of x
Answer:
Therefore m angle 2 is 86°.
Step-by-step explanation:
Given:
m∠ 1 = 17x + 1
m∠ 2 = 20x - 14
To Find:
m∠ 2 =?
Solution:Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m∠ 1 = m∠ 2
Substituting the given values we get
Now for m∠ 2
Therefore m angle 2 is 86°.
Help ya girl out please
how to find the marked price of an article
Answer:
I don't really know what you mean so I would say to just look on the tag but if you gave more info then I could help you out
Bart Simpson purchased a new home for $75,000. He paid $20,000 down and agreed to pay the rest in 20 equal annual payments, which include the principal payment plus 9% compound interest, payments are made at the end of the year. What will the payments be?
2. A young boy invested $50 to plant Christmas trees on his grandfather’s farm. When the boy was a freshman in college, six years later, he harvested the trees and sold them for $400. What annual rate of return (i.e. interest rate) did he earn on the investment, assuming he incurred no expenses in the interval?
1. Bart Simpson's equal annual payments will be approximately $6,434.61.
2. The young boy earned an annual rate of return (interest rate) of approximately 26.49% on his investment in Christmas trees.
To find the payments Bart Simpson will make at the end of each year, we can use the formula for the equal annual payments on a loan with compound interest:
\(P = (PV * r) / (1 - (1 + r)^{(-n)})\)
where:
P is the equal annual payment,
PV is the present value of the loan (purchase price - down payment),
r represents the annual interest rate,
n represents the number of payments.
Given:
Purchase price (PV) = $75,000 - $20,000 (down payment) = $55,000
Annual interest rate (r) = 9% = 0.09 (as a decimal)
Number of payments (n) = 20
Now, the values into the formula:
\(P = ($55,000 * 0.09) / (1 - (1 + 0.09)^{(-20)})\)
P = $4,950 / (1 - 0.2314)
P = $4,950 / 0.7686
P ≈ $6,434.61
So, Bart Simpson's equal annual payments will be approximately $6,434.61.
To calculate the annual rate of return (interest rate) that the young boy earned on his investment, we can use the formula for compound interest:
(FV) = (PV) * \((1 + r)^n\)
where:
FV is the future value of the investment (selling price of the trees),
PV is the initial investment ($50),
r represents the annual interest rate ,
n is the number of years (6 years).
Given:
Selling price (FV) = $400
Initial investment (PV) = $50
Number of years (n) = 6
Now, we get the annual interest rate (r):
$400 = $50 * \((1 + r)^6\)
Divide both sides by $50:
\(8 = (1 + r)^6\)
Take the 6th root of both sides:
\(1 + r = 8^{(1/6)\)
1 + r ≈ 1.2649
Subtracting 1 from both sides , we get :
r ≈ 1.2649 - 1
r ≈ 0.2649
So, the young boy earned an annual rate of return (interest rate) of approximately 26.49% on his investment in Christmas trees.
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1. If the variables x and y are proportional and y = 4 when x = 20 then which of the following equations relates all values of x and y? (1) y = x+16 (3) y = 5x (2)y=-* (4) y=x-16
Answer:
4.) y=x-16
Step-by-step explanation:
Here,
y=4,
x=20
Now,
putting the value of x and y.
or, 4=20-16
or, 4+16=20
∴20=20
my head is empty for now, i rly can't with online classes
so anyone wanna help me?
Answer:
The Y intercept is (0,7)
Step-by-step explanation:
If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)
WORK PROBLEMS Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower. How many minutes would the job take if the two boys worked together
Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower.
Let's calculate the amount of work done by Ted in 1 minute.WORK = 1/5Let's calculate the amount of work done by Galen in 1 minute.WORK = 1/15
Let's calculate the amount of work done by both of them working together in 1 minute. WORK = 1/5 + 1/15 Simplify, LCM of 5 and 15 = 15 So, 3/15 + 1/15 = 4/15Hence, working together Ted and Galen can mow the lawn in 15/4 or 3.75 minutes or 3 minutes and 45 seconds.
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h(t) = -10+ - 6
h()= -44
Answer:
-44
Step-by-step explanation:
If (6 ki)² = 27-36i, the value of k is
Answer: k = √27-i
Step-by-step explanation:
Please I need an answer FAST
Answer: C) 10cm
Step-by-step explanation:
sample size and the confidence level width have a (n) __________ relationship.
Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.
When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.
The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.
A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.
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in a probability-proportional-to-size sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audited amount of $4,000. if this were the only misstatement discovered by the auditor, the projected misstatement of this sample would be
The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.
In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.
To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.
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Lucy bought a table on sale for $665. This price was 24% less than the original price.
What was the original price?
Answer: Below
Step-by-step explanation:
24% is basically 0.24. Since we want to find the original price we make the equation:
x * (1 - 0.24) = 665
For x is the original price. Simplify:
x * (0.76) = 665
x = 665/0.76
x = 875
Our answer is 875
what is 10 divided by 1 2/3
Answer: 6
Step-by-step explanation:
A 6-ft adult has a shadow 3.6 ft long. How long is the shadow of a 5-ft child standing next to the adult?
2.6 ft
4 ft
3 ft
3.6 ft
What’s the correct answer 9x+3-5x >2
Answer:
x>-1/4
Step-by-step explanation:
9x+3-5x>2
9x-5x+3>2
4x+3>2
4x>-1
x>-1/4
Therefore, x>-1/4
Find the mean, median, and mode(s) of the data. Make sure to list these in your answer.
Choose the measure that best represents the data. Explain your reasoning.
8, 14, 10, 12, 8, 32
Answer: Mean: 14, Median: 11, Mode: 8
Step-by-step explanation:
Question 2(Multiple Choice Worth 2 points)
(Slope MC)
A restaurant plans to use a new food delivery service. The food delivery service charges $4.98 for every 2 meals delivered, plus a $2.00 service fee. What is the slope of this situation?
2.00
2.49
4.49
4.98
A restaurant plans to use a new food delivery service. The food delivery service charges $4.98 for every 2 meals delivered, plus a $2.00 service fee. The slope of this situation is 4.98. So the correct option is D.
What do you mean by slope?The slope of a line is a measure of its steepness or incline. It is defined as the ratio of the "rise" (the vertical change) to the "run" (the horizontal change) between any two points on the line. The slope is also known as the "gradient" of the line. The slope is usually represented by the letter "m".
There are three types of slopes:
Positive slope: A line with a positive slope rises from left to right. It means that as the x-coordinate increases, the y-coordinate also increases. A line with a positive slope will have a slope value greater than 0, for example, 2/3 or 4/5.
Negative slope: A line with a negative slope falls from left to right. It means that as the x-coordinate increases, the y-coordinate decreases. A line with a negative slope will have a slope value less than 0, for example, -2/3 or -4/5.
Zero slope: A line with zero slope is a horizontal line. It means that the y-coordinate stays the same as the x-coordinate increases. A line with zero slope will have a slope value equal to 0.
Undefined slope: A line with an undefined slope is a vertical line. It means that the x-coordinate stays the same as the y-coordinate increases. A line with an undefined slope will have infinite slope, as the run will be zero, and the rise will be some value.
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trinomio cuadrado perfecto
\(\alpha^{3} -10\alpha ^{\frac{3}{2} } +25\)
Espana
Henry is mailing packages. Each small package costs him $2.20 to send. Each large package costs him $2.60. How much will it cost him to send 4 small
packages and 5 large packages?
Answer:
Henry will pay $21.80
Step-by-step explanation:
This is represented by the equation (2.20x4)+(2.60x5)
is the square root of 5 rational or irational
Reduce 365
25
to lowest terms.
[2]
Fraction
Give the following non-linear equation: z = x² + 4xy + 6xy² 1.1. Linearize the following equation in the region defined by 8 ≤x≤10,2 ≤y ≤4. (8) 1.2. Find the error if the linearized equation is used to calculate the value of z when x = 8, y = 2.
The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :
z ≈ 244 + 20(x - 8) + 128(y - 2).
When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.
1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:
∂z/∂x = 2x + 4y
∂z/∂y = 4x + 6xy
At the point (x₀, y₀) = (8, 2), we substitute these values:
∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24
∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128
The linearized equation is given by:
z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)
Substituting the values, we get:
z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)
1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:
z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)
= z₀
Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.
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What is the
area in square
millimeters of
the triangle
outlined on the
origami figure?
b = 5 cm
h = 1.28 cm
The area of the triangle outlined on the origami figure is 3.2 square centimeters or 3200 square millimeters (since 1 cm = 10 mm).
What is area?Area is the measurement of the extent of a two-dimensional surface or shape, typically measured in square units such as square meters or square feet.
What is origami figures?Origami is a Japanese art form of paper folding where intricate and beautiful designs are created by folding a single piece of paper without cutting or gluing it.
According to the given information:
the area of a triangle using base (b) and height (h) measurements. The formula is:
Area = (1/2) x b x h
To convert this area into square millimeters, you would need to ensure that the base and height measurements are also in millimeters. If the base is 5 cm, this would be equivalent to 50 mm (since there are 10 millimeters in each centimeter). If the height is 1.28 cm, this would be equivalent to 12.8 mm.
Using these measurements in the formula, we get:
Area = (1/2) x 50 mm x 12.8 mm
Area = 320 mm²
Therefore, the area of the triangle outlined on the origami figure would be 320 square millimeters.
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The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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If (x + y)^2 = 45 and xy = 10, what is (x - y)^2?
Answer:
\(\binom{x = \sqrt{5}, y = 2\sqrt{5}}{x = -\sqrt{5}, y = -2\sqrt{5}}\)
Step-by-step explanation:
Hope this helped!
Aaron's weight is $10$ pounds greater than twice Levi's weight. If the sum of their weights is $118$ pounds, how many more pounds is Aaron's weight than Levi's weight?
Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.
What is weight?Weight is a measure of the gravitational force of attraction between an object and the Earth, or between two objects. It is measured in Newtons (N) or kilograms (kg). Weight is created by the force of gravity that pulls objects toward the center of the Earth. The greater the mass of an object, the greater the force of gravity and thus the greater its weight. Weight is an important factor in determining the motion of an object and its interaction with other objects.
Aaron's weight is $10$ pounds more than twice Levi's weight, so Levi's weight is $\frac{1}{2}(118 - 10) = 54$ pounds. This means that Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.
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You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166
The claim that a drug is effective at 1% is not sufficiently supported by the available data.
Participant 1 2 3 4 5 6
Before 185 220 190 158 227 211
After 175 215 195 155 230 207
Difference = Before - After = 10 5 -5 3 -3 4
Participant 7 8 9 10 11 12
Before 260 156 201 300 180 270
After 258 159 201 290 172 272
Difference = Before - After = 2 -3 0 10 8 -2
Participant 13 14 15 16 17 18
Before 293 183 205 151 291 166
After 290 185 200 146 287 166
Difference = Before - After = -7 -2 5 5 4 0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44
The mean of d, \(d`\) = Σd / n = 44 / 18 = 2.44
The standard deviation, S.d = 4.45 (using calculator)
The test statistic, T : \(d`\) / (S.d/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
P value = 0.0326
α = 0.01
Since P value < α ; we fail to reject H0
So the claim that a drug is effective at 1% is not sufficiently supported by the available data.
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Nathaniel bought 12 chicken wings for $8. What was the cost of the wings in wings
per dollar?
Answer:
$0.67
Step-by-step explanation:
What you do for these types of problems is divide the amount of money by the amount of products. For example, $8 ÷ 12= $0.6666... In your case, we round the number to $0.67. Hope this helps!