Answer:
(3) HL is an angle bisector.
Find the difference. Write your answer in simplest form.
10 1/5 - 2 1/6=
Answer:
8 1/30
Step-by-step explanation:
(10-8) + (1/5 - 1/6)
Answer:
8 1/30
Step-by-step explanation:
Find the common deminator, then subtract!!
Figure f is a scaled copy of Figure e.
Polygon Q is a scaled copy of Polygon P.
We know:
• AB= 6
• CD = 3
XY = 4
• ZW=
= a
Select all true equations
The correct equation of the scaled figure is given by 6/3 = 4/a
ScalingScaling is the process of either increasing or decreasing the size of a figure by a factor.
From the diagram attached, Figure f is a scaled copy of Figure e. Figure e is decreased to produce figure f, hence:
AB/XY = CD / WZ6/4 = 3 / a6/3 = 4/aThe correct equation of the scaled figure is given by 6/3 = 4/a
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What is the image point (-5,3) if it is translated 3 units right and 2 units down
Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).
Answer:
given point is (-5,3)
right unit means positive and down unit means negative so,
image of (-5,3)---------->(-5+3-2,3+3-2)
=>(-7+3,6-2)
=>(-4,4) ANS.
Three pounds of bananas cost $1.77.
Which proportion could be used to find the cost of 10 pounds of bananas?
Answer:
1.77/3=0.59
Step-by-step explanation:
If 3 lbs of bananas cost $1.77 we find the amount of each lbs of bananas by dividing 1.77 by 3.
from there we get 0.59,
therefore each lbs of bananas costs $0.59
and 10 lbs of bananas cost $5.90
Answer:
the cost of 10 lbs of bananas is 5.9 or 5.90
Step-by-step explanation:
177/3=0.59
0.59x10=5.9
I don't know if this is really what you wanted but I put an answer hoping you will give the person above me brainliest, I think they deserve it :)
The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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i need help asap please it going to 100 points
Answer:
x ≥ 10
Step-by-step explanation:
So put a filled-in dot on 10 and an arrow going to the right
Answer: x ≥ 10
Step-by-step explanation: i took the test
Which of the following correctly sets up the point-slope equation for this line?
y−7=13(x+6)y-7=\frac{1}{3}\left ( x+6 \right )y−7=
3
1
(x+6)
y+7=13(x+6)y+7=\frac{1}{3}(x+6)y+7=
3
1
(x+6)y+7=13(x+6)y+7=\frac{1}{3}(x+6)y+7=
3
1
(x+6)
y+7=13(x−6)y+7=\frac{1}{3}(x-6)y+7=
3
1
(x−6)
y−7=13(x−6)y-7=\frac{1}{3}(x-6)y−7=
3
1
(x−6)
Answer: \(y + 7 = \frac{1}{3}(x - 6)\\\\\)
Work Shown:
\(y - y_1 = m(x - x_1)\\\\y - (-7) = \frac{1}{3}(x - 6)\\\\y + 7 = \frac{1}{3}(x - 6)\\\\\)
Two boats are sailing on a lake. The position of the first boat at time t is given parametrically by I1 = 8t 31 = 21²-2t +1 and the position of the second boat at time t is given by x2 = 2t 3/2 = 18-2t where t20 is the time measured in minutes and 21, 22, 31, and 3/2 are measured in metres. (a) Find a function, f(t), for the distance between the two boats at time t. (6 marks) (b) Using calculus and the expression found in (a) to determine, algebraically, at what times are the boats closest to each other. What is the minimum distance between the two boats? Check your value of t by substitution into the derivative. Also verify that you have found the minimum by using an appropriate calculus test
(a) To find the function f(t) for the distance between the two boats at time t, we need to calculate the distance between their positions. Let (x1, y1) represent the position of the first boat and (x2, y2) represent the position of the second boat. The distance between the two boats can be given by the formula:
f(t) = √((x2 - x1)² + (y2 - y1)²).
From the given parametric equations, we have x1 = 8t, y1 = 21² - 2t + 1, x2 = 2t, and y2 = 18 - 2t. Substituting these values into the distance formula, we have:
f(t) = √((2t - 8t)² + (18 - 2t - (21² - 2t + 1))²).
Simplifying further, we have:
f(t) = √((-6t)² + (18 - 21² + 2)²) = √(36t² + (399 - 18)²) = √(36t² + 381²).
Therefore, the function for the distance between the two boats at time t is f(t) = √(36t² + 381²)
(b) To determine when the boats are closest to each other, we need to find the minimum distance. We can minimize the function f(t) by finding the critical points. Let's take the derivative of f(t) and set it equal to zero:
f'(t) = (1/2)(36t² + 381²)^(-1/2) * 72t = 0.
Setting f'(t) = 0, we find that t = 0 is a critical point.
To verify that it is indeed a minimum, we can use the second derivative test. Taking the second derivative of f(t), we have:
f''(t) = (1/2)(36t² + 381²)^(-1/2) * 72 + (1/2)(-1/2)(36t² + 381²)^(-3/2) * 72t².
Substituting t = 0 into f''(t), we have:
f''(0) = (1/2)(36(0)² + 381²)^(-1/2) * 72 + (1/2)(-1/2)(36(0)² + 381²)^(-3/2) * 72(0)²
= (1/2)(381²)^(-1/2) * 72 + (1/2)(-1/2)(381²)^(-3/2) * 0
= (1/2)(381²)^(-1/2) * 72.
Since (381²)^(-1/2) is a positive constant, f''(0) is also positive.
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Find the formula for the nth term in this arithmetic sequence a1=0 a2=.5 a3=1 a4=1.5
Answer:
Step-by-step explanation:
The arithmetic sequence usually write as \(a_{n}=a_{1} +(n-1)d\), where a1 is the first term and d is a common difference.
\(a_{n} = a_{1}+(n-1)d\\a_{n} = 0+(n-1)0.5\\\)
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.
I need this done right now please write the equation
Answer:
y = -6x +3
Step-by-step explanation:
You want the slope-intercept equation matching the given graph.
GraphThe line on the graph crosses the y-axis at the marked point (0, 3). Another point is marked at (1, -3), which is 1 unit right and 6 units down.
The first point tells you the y-intercept (b) is +3.
The second point tells you the slope (m) is rise/run = -6/1 = -6.
Then the point-slope equation is ...
y = mx + b
y = -6x +3
<95141404393>
what is the sum of the measures of the exterior angles of a triangle. if necessary round to the nearest tenth
The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.
We have,
An exterior angle of a polygon is formed by extending one of its sides outward.
In the case of a triangle, when we extend each side, we create three exterior angles.
These exterior angles are located outside the triangle.
The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.
This property holds true for all polygons, regardless of their shape or size.
To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.
As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.
This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.
In a triangle, each interior angle measures less than 180 degrees.
So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.
Therefore,
The sum of the measures of the exterior angles of a triangle is always 360 degrees.
This principle holds true for all polygons, making it a fundamental property of geometry.
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Match each value of a to its equation.
Answer:1.24
2.7 27/56
3.3/4
4.1 2/3
Step-by-step explanation:
I need help solving this please! Do I use substitution? Not sure how to solve?
Answer
\(x=5,y=1\)Explanation
The system of the equation:
\(\begin{gathered} 2x+3y=13\text{ ------(i)} \\ 4x-3y=17\text{ ------(}ii) \end{gathered}\)From (i)
\(\begin{gathered} 2x=13-3y \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{13-3y}{2} \\ x=\frac{13-3y}{2}\text{ -------(}iii) \end{gathered}\)Substitute x as (13 -3y)/2 into (ii)
\(\begin{gathered} \text{Recall (}ii) \\ 4x-3y=17 \\ 4(\frac{13-3y}{2})-3y=17 \\ 2(13-3y)-3y=17 \\ 26-6y-3y=17 \\ 26-9y=17 \\ \text{Grouping the terms, we have} \\ 9y=26-17 \\ 9y=9 \\ y=\frac{9}{9} \\ y=1 \end{gathered}\)Since y = 1, then we shall substitute for y as 1 in (iii) to get x
\(\begin{gathered} \text{Recall (}iii) \\ x=\frac{13-3y}{2} \\ x=\frac{13-3(1)}{2} \\ x=\frac{13-3}{2} \\ x=\frac{10}{2} \\ x=5 \end{gathered}\)Therefore the solution to the system is:
\(x=5,y=1\)How do you write 1.6962 as a percentage?
Answer: 169.62%
Step-by-step explanation:
Which of the following numbers is NOT a perfect square?
4
9
16
25
50
100
121
Answer:
50 is not a perfect square
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x= -2000 p + 4000. Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The maximum revenue Luci can make selling cookies in one day is $2,000.
The price she should sell the cookies to make the maximum revenue is $1
Step-by-step explanation:
W are given the following in the question:
x= -2000 p + 4000 ................ (1)
Therefore, revenue can be obtained as follows:
Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)
Differentiating equation (2) with respect to p and equate to 0, we have:
dR / dp = -4000p + 4000 = 0 ................. (3)
From equation (3), we solve for p as follows:
-4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into (2), we have:
Revenue = (-2000 * 1^2) + (4000 * 1)
Revenue = -2000 + 4000
Revenue = 2000
Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.
How many observations are required to be 90% sure of being within ±2.5% (i.e., an error) of the population mean for an activity, which occurs 30% of the time? How many more observations need to be taken to increase one’s confidence to 95% certainty?
We would need 453 more observations to increase your confidence level to 95% certainty.
To determine the required number of observations to be 90% sure of being within ±2.5% of the population mean for an activity occurring 30% of the time, we'll use the sample size formula for proportions:
n = (Z^2 * p * (1-p)) / E^2
Here, n is the sample size, Z is the z-score corresponding to the desired confidence level, p is the proportion (30% or 0.30), and E is the margin of error (±2.5% or 0.025).
For a 90% confidence level, the z-score (Z) is 1.645. Plugging the values into the formula:
n = (1.645^2 * 0.30 * (1-0.30)) / 0.025^2
n ≈ 1023.44
So, you would need approximately 1024 observations to be 90% sure of being within ±2.5% of the population mean.
To increase the confidence level to 95%, the z-score (Z) changes to 1.96. Using the same formula:
n = (1.96^2 * 0.30 * (1-0.30)) / 0.025^2
n ≈ 1476.07
So, you would need approximately 1477 observations for a 95% confidence level.
To find the additional number of observations needed, subtract the initial sample size from the new sample size:
1477 - 1024 = 453
Therefore, you would need 453 more observations to increase your confidence level to 95% certainty.
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Math for Homework
Question Help Challenge You buy 1.09 pounds of apples, 0.99pounds of grapes, and 1.29 pounds of oranges. What is your total bill?
Grocery Store Prices
Item
Cost
Apples
$0.99 per
pound
Grapes
$1.19 per
pound
$1.09 per
Oranges
Savvar Egge Rigid muiago
Your total bill is $
(Round to the nearest cent as needed.)
Clasroom Continks Schoonet: math
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location. He is charged a \( \$ 1000 \) fee for
Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.
He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.
The first step that Michael needs to take is to analyze the population data that he has.
Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.
Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.
This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.
However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.
Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.
Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.
In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.
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Question 7 (Multiple Choice Worth 5 points)
(03.03 MC)
Which of the following statements best describes the location of -(-3) on a number line?
O It is 3 units to the left of 0
O It is 3 units to the right of 3
O It is 3 units 3 to the right of 0
O It is 3 units to the left of 3
Question 8 (Fill-In-The-Blank Worth 5 points)
To understand this, we need to first understand what the negative sign in front of the parentheses means. In math, the negative sign represents the opposite or inverse of a number. So, -3 means the opposite of 3.
Now, when we have -(-3), we are essentially finding the opposite of the opposite of 3. In other words, we are finding the number that is 3 units to the right of 0. Therefore, the correct answer for Question 7 is "It is 3 units to the right of 0".
Moving on to Question 8, we are given a blank to fill in. Without any context or information provided, it's hard to give a specific answer. However, if we assume that the question is related to the topic of number lines and coordinates, we can make an educated guess.
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What happened to the owl who swallowed a watch
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation:
Which expression has a value of 90?
3,600 ÷ 50
5,400 ÷ 60
6,400 ÷ 80
7,200 ÷ 90
Answer:
1. 73.2
2. 90
3. 80
4. 80
Step-by-step explanation:
you will have to divide 3,600 by 50
Answer:
None of them...
Step-by-step explanation:
3,600 ÷ 50 = \(\frac{1}{4}\)
5,400 ÷ 60 = \(\frac{3}{4}\)
6,400 ÷ 80 = \(\frac{6}{5}\)
7,200 ÷ 90 = \(\frac{63}{20}\)
Did you read the problem correctly?
Why is 13 a prime number?
Answer:
Step-by-step explanation: 13 is a prime number because Its only divisors are 1 and 13.
13 is a prime number because It can only be divided by 1 and 13.
What are prime numbers?
Prime numbers are natural numbers that are divisible by only 1 and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc. Always remember that 1 is neither prime nor composite. Also, we can say that except for 1, the remaining numbers are classified as prime and composite numbers. All prime numbers are odd numbers except 2, 2 is the smallest prime number and is the only even prime number.
First Ten Prime Numbers
The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
Now,
As 13 has only two factors, 1 and 13.
Hence,
It is a prime number.
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Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches. what is the area of the parallelogram? express your answer in simplest radical form.
The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².
What is parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.
Here,
A parallelogram has adjacent angles that add up to 180 degrees.
Since one angle of parallelogram is 120°.
240+2x=360
2x=120
x=60
The other will be 60°
The area of parallelogram= lh
l=15 inch
h=b(sin 60°)
=8*√3/2
h=4√3 inch
area of parallelogram= 15*4√3
= 60√3 inch²
The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."
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f f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18
The value of 'x' that makes (f - g)(x) equal to zero, the answer is x = 12.
To find the value of 'x' for which (f - g)(x) = 0, we need to determine the value of 'x' that makes the difference between f(x) and g(x) equal to zero.
Given:
f(x) = 16x - 30
g(x) = 14x - 6
To calculate (f - g)(x), we subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x)
= (16x - 30) - (14x - 6)
= 16x - 30 - 14x + 6
= 2x - 24
We set (f - g)(x) equal to zero and solve for 'x':
2x - 24 = 0
Adding 24 to both sides of the equation:
2x = 24
Dividing both sides by 2:
x = 12
The solution is x = 12 for the value of "x" that causes (f - g)(x) to equal zero.
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Which diagram represents a line of symmetry of the regular octagon?
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
On a vacation, Elwyn averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities if his total traveling time was 32 hours? Finish filling in the table (do not add any spaces when typing in your answer) and
Answer:
850 miles
Step-by-step explanation:
Distance = r * t
Going:
d = 50 * x = 50x
Returning:
d = 55*(32 - x)
= 55*32 - 55*x
= 1760 - 55x
As the distance covered is same,
50x = 1760 - 55x
50x + 55x = 1760
105x = 1760
x = 1760 ÷ 105
x = 17 hours
d = 17 * 50
= 17*50
= 850 miles
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
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