The graph of a hyperbola is shown. what is the length of the transverse axis
The length of the transverse axis is 18 units.
What is the transverse axis of a hyperbola?"The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints."
Given, the vertices of the hyperbola are at (-9, 0) and (9, 0).
Therefore, the length of the transverse axis is
[tex]= (9+9) units\\= 18 units[/tex]
Therefore, the length of the transverse axis is 18 units.
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Please help the answer are
12
4
X
X+4
-16
16
X+12
X^2
Leo, Kush and Mai share some money in the ratio 3:5:8
Kush receives £750 more than Leo.
Calculate total amount of money that they shared.
Tanisha cut a triangle with angles of 34°, 67°, and 79° in three pieces so that each piece had one angle of the triangle. She arranged the three angles connected together such that the three corners of the triangle were all touching. What type of angle was formed and what does this show?
Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
Find the measure of each angle
Express the number as a ratio of integers. 3.469 = 3.469469469
Trica's mother let her play outside for 15 minutes. When she went outside,she played with her dog for 5 minutes.Then she rode her bike for 4 minutes .She spent the rest of her time catching bugs.how many minutes did Trica spent catching bugs?
Expression for calculation divided 10 in half and subtract from 50 divided into fifth
the function f(x)=2^x. the function f(x)= 2^x+k and K < 0. which of the following statements is true
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Identify the figure formed by the net.
•Square pyramid
•Hexagonal prism
•Cylinder
•Cube
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you and your friend are both knitting scarves for charity . you knit 8 rows each minute and have already knitted 10 rows . your friend knits 5 rows each minute and has already knitted 19 rows . when will you both have knitted the same amount of rows ?
After 3 minutes you both have knitted the same amount of rows.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, You knit 8 rows each minute and have already knitted 10 rows.
Your friend knits 5 rows each minute and has already knitted 19 rows.
Assuming t is the time when will you both have knitted the same amount of rows,
8t + 10 = 5t + 19.
8t - 5t = 19 - 10.
3t = 9.
t = 3 minutes.
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There are 3 teams of 18 employees working today. Company
policy says that we need to have 1 supervisor for every 8 employees on the floor. We need ....
Final answer:
The total number of employees working is 54. According to company policy requiring 1 supervisor for every 8 employees, 7 supervisors are needed to comply with this policy.
Explanation:
To find how many supervisors are required, we first need to know the total number of employees working. Since there are 3 teams of 18 employees, the total number of employees is 3 teams * 18 employees per team = 54 employees. Company policy requires 1 supervisor for every 8 employees. Therefore, we divide the total number of employees by the supervisor to employee ratio: 54 employees / 8 employees per supervisor = 6.75. Since we cannot have a fraction of a supervisor, we round up to the next whole number, making it 7 supervisors needed in total.
So, the supervisor would say: "We need 7 supervisors working tonight so we should be OK."
The solid shown are composed of prisms and half cylinders. Find the volume of the solid. Round to the nearest whole number.
At the ice-cream parlor you can choose from 4 flavors of ice cream, 2 types of sauce, and 3 different toppings when ordering a sundae. How many possible sundaes can be ordered?
What is the domain of the function log(x-4) +4?
you plant 30 african violet seeds and 9 of them sprout use experimental probability to predict how many will sprout if you plant 20 seeds
6 seeds are required that will sprout if you plant 20 seeds.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
It is given that out of 30 planted seeds only 9 of them sprouted, then
Experimental probability =(number of occurrences of the event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given the 20 seeds we planted will be
3/10×20
=6 seeds
Therefore, 6 seeds are required that will sprout if you plant 20 seeds.
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The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.
PLEASE DO THE WORK AND SHOW ME!!!!!
Please answer, and I'll ask this and I'll do the question again, and I'll do the same points.
Please thankyou
No jokes!!!!!!!!!
To find the dimensions of the raised vegetable garden, we need to solve for the length and width using the given volume and height.
Explanation:To find the volume of the raised vegetable garden, we multiply the area of the base by the height. In this case, the base is a rectangle, so its area is length times width. Let's call the length of the garden L and the width W. The volume (V) is given as 48 cubic feet and the height (H) is 3/4 foot. Therefore, we have the equation V = L x W x H. Substituting the given values, we get 48 = L x W x 3/4. To solve for L and W, we need to choose possible values for them that satisfy the equation. Let's start by considering possible values for L and W: L = 16 feet and W = 3 feet. Substituting these values into the equation, we have 48 = 16 x 3 x 3/4. Simplifying, we get 48 = 144/4, which is not true. Therefore, our initial guess for the values of L and W is incorrect. Let's try another set of values: L = 12 feet and W = 4 feet. Substituting these values into the equation, we have 48 = 12 x 4 x 3/4. Simplifying, we get 48 = 144/4, which is true. Therefore, the raised vegetable garden is 12 feet long and 4 feet wide.
two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?
Answer:
120°
Step-by-step explanation:
Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4
Final answer:
The lowest common denominator of the fractions 5/(n-2) and[tex](n+2)/(n^2-4)[/tex] is[tex]n^2 - 4,[/tex] which is the factored form of the denominator of the second fraction.
Explanation:
The question asks to find the lowest common denominator (LCD) of two fractions: 5/(n-2) and (n+2)/[tex]n^2 - 4,[/tex]. To do this, we need to factor each denominator, if possible, and then determine the LCD. The second denominator can be factored into (n+2)(n-2) since it is a difference of squares. For the LCD, we need each factor present at least as many times as it occurs in any one of the denominators. The first fraction is already missing the (n+2) factor, so we multiply the numerator and the denominator of this fraction by (n+2) to have an equivalent fraction with the common denominator.
The common denominator then is (n+2)(n-2), equivalent to[tex]n^2 - 4,[/tex] So the LCD of the two fractions is[tex]n^2 - 4.[/tex] We can use this denominator to combine fractions or compare them. No further steps are necessary because the second fraction already has the LCD. Therefore, the LCD for both fractions is [tex]n^2 - 4.[/tex]
what happens when you add 1 to a number
Jill earns $18.59 per hour. what is her gross earnings if she worked 46 hours. jill earns time and a half for overtime work.
Employee Earnings per month($) 1 1,200 2 2,600 3 1,800 4 1,450 5 3,500 6 2,800 7 12,500 8 3,200 Which measure of spread is best for the data in the table?
Answer: Interquartile range
Step-by-step explanation:
Interquartile Range:
Q3 - Q1 Find Q2 then Q3 then Q1. Then subtract Q3 and Q1.
This is the most accurate out of all measures of spread.
Hope this helps :)
The measure of spread is best for the data in the table is mean absolute deviation.
What is data table?Tables are a useful tool used to present data in an organized and easy-to-understand format. They typically consist of rows and columns that contain information, and can even be structured in more complex ways. Tables are often used in communications, research, and data analysis.
The given data is 1200, 2600, 1800, 1450, 3500, 2800, 12500 and 3200.
Mean absolute deviation (MAD) is a measure of variation in a data set, calculated by taking the average of the absolute differences between each data value and the mean. It gives an indication of how far each data point is from the mean, providing an easy way to detect the spread of the data. MAD is a useful tool for understanding the range of values within a data set, and it can be used to compare different sets of data to each other.
Therefore, the measure of spread is best for the data in the table is mean absolute deviation.
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Consider the following grsph of a quadratic function.
Sierra's swimming lessons last 1 hour 20 minutes.she finished her lesson at 10:50 am.at what time did her lesson start?
The time at which her lesson start is 9:30 am.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Time= 1 hour 20 minutes
Now,
To find the time when Sierra’s lesson started, you need to subtract the duration of her lesson from the time when she finished. You can do this by subtracting the minutes and then the hours.
First, subtract 20 minutes from 10:50 am. To do this, you can take away 10 minutes to get 10:40 am and then take away another 10 minutes to get 10:30 am.
Next, subtract 1 hour from 10:30 am. To do this, you can take away 60 minutes or simply reduce the hour by 1. Either way, you get 9:30 am.
Therefore, by work and time the answer will be 9:30 am.
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If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)
name the shaded region in three equivalent forms 2/3 in to a fraction,decimal, and percent
you deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. how much interest does the account earn after 4 years?
To find the amount of interest earned on a bank account after 4 years, use the compound interest formula. After plugging in the values, the account earns approximately $162.89 in interest.
Explanation:To calculate the amount of interest earned on a bank account after 4 years, we need to use the formula for compound interest: A = P(1 + r/n)^(nt) - P. In this case, the initial deposit (P) is $3000, the annual interest rate (r) is 1.25%, compounded semi-annually (n = 2), and the time period (t) is 4 years. Plugging in these values, we get:
A = 3000(1 + 0.0125/2)^(2*4) - 3000
Solving this equation, we find that the account earns approximately $162.89 in interest after 4 years.
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