Answers
the one on the left is at (0,-9) the one on the right is st (0,9)
distance between -9 and 9 = 18
the length of the transverse axis is 18
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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Related Questions
What is the domain of the function log(x-4) +4?
Answers
Thus, x-4 ≥ 0, or x ≥ 4 (answer)
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?
Answers
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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what happens when you add 1 to a number
Answers
A store manager set up a cardboard display to advertise a new brand of perfume. The display is a square pyramid whose base is 18 inches on each side.The height of each triangular face of the pyramid is 12 inches. How much card word was used to make the display?
A. 516 B.756
C.612 D.1080
D is not the answer I tried the teacher marked it wrong
Answers
please award brainly
The surface area of the cardboard display is the sum of the area of the square base and the four triangular faces, totaling 756 square inches. This corresponds to answer B.
The student wishes to calculate he amount of cardboard used to create a square pyramid display. To find this, we need to determine the surface area of the pyramid, which includes the base and the four triangular faces.
Firstly, we calculate the area of the square base. The base length is given as 18 inches. The formula for the area of a square is side length squared:
Base area = 18 inches × 18 inches = 324 square inches.Next, we find the area of one triangular face using the formula for the area of a triangle (base × height / 2). The base of each triangle is the same as the side of the square base, and the height is given as 12 inches:
Triangular face area = (18 inches × 12 inches) / 2 = 108 square inches.Since there are four identical triangular faces, we multiply the area of one triangle by four:
Total area of triangular faces = 4 × 108 square inches = 432 square inches.Finally, we add the area of the base to the total area of the triangular faces:
Total surface area = 324 square inches (base area) + 432 square inches (triangular faces area) = 756 square inches.Therefore, the amount of cardboard used for the pyramid display is 756 square inches, which corresponds to answer B.
One researcher wishes to estimate the mean number of hours that high school students spend watching tv on a weekday. a margin of error of 0.23 hour is desired. past studies suggest that a population standard deviation of 1.9 hours is reasonable. estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Answers
Assuming a 95% confidence interval and substituting all the values;
At 95% confidence, Z = 1.96
Therefore,
0.23 = 1.96*1.9/Sqrt (N)
Sqrt (N) = 1.96*1.9/0.23
N = (1.96*1.9/0.23)^2 = 262.16 ≈ 263
Minimum sample size required is 263 students.
Answer:the answer is 236 students
Step-by-step explanation:
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!!!!!!!!!
Answers
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.
What do you notice about the median and mean?
Answers
Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4
Answers
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
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]
Hey can you please help me posted picture of question
Answers
the spinner has 8 sections
total possibilities = 6 x 8 = 48
the answer is B.
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.
Answers
The ratio in which they received cash is 3:5:8
the difference in ration between Kush and Leo=£(5-3)=£2
Total ratio is: 16
thus the total amount was:
16/2×750
=£6000
Please help the answer are
12
4
X
X+4
-16
16
X+12
X^2
Answers
x² + 4x = 192
Step 2:
Take x common:
x ( x + 4) = 192
Length is x and width is x+4
Step 3:
x² + 4x - 192 = 0
Step 4:
x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0
⇒ x=12, x=-16
Because the length can't be -16, the length is 12.
Factoring x²+4x, you get x(x+4). If you call the length x, then the width is the other factor, x+4.
Step 4: {16}
You know this two ways. -192/-12 = 16, and 4 -(-12) = 16, where 4 is the coefficient of x in step 3.
Last line: {-16, 16}
The values of x that make the factors zero are -16 and 12. Since these are supposed to represent lengths, an appropriate answer cannot be negative (-16). The width is x+4 = 12+4 = 16.
the temperature at 10 am was -7°F. By noon, the temperature had dropped 12°F. By 2 pm, it had dropped another 5°F. what was the temperature at 2 pm?
Answers
Identify the figure formed by the net.
•Square pyramid
•Hexagonal prism
•Cylinder
•Cube
Answers
the answer is CUBE
I hope this helps, and have a nice day!
A taco stand sells tacos for $3.25 each. The stands expenses for the day are $210. Define your variables and write an inequality to represent the amount of tacos they need to sell per day to make a profit, and then slice the inequality. Provide your conclusion as a complete sentence.
Answers
Let P= profit
let n= no. of tacos sold per day
Sol'n:
P= 3.25n-210
the profit needs to be positive, thus
3.25n>210
n>210/3.25
n> 64.615
they can only sell whole tacos, therefore they must sell at least 65 tacos to make a profit and that profit is:
P=3.25n-210
P=3.25*65 - 210
P= 211.25 -210
P= 1.25
$1.25 profit
Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
Answers
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)
see the attached figure
Which expression represents the volume of the box? use the formula v=lwh 3x+1, 2x-1 ×+2
Answers
(3x+1) by (2x-1) by (x+2) will be:
volume, V=lwh
plugging the values we get:
V=(3x+1)(2x-1)(x+2)
Expanding the above we get:
V=(3x+1)(2x^2+3x-2)
V=3x(2x^2+3x-2)+1(2x^2+3x-2)
V=6x^3+9x^2-6x+2x^2+3x-2
V=6x^3+11x^2-3x-2
Hence the expression for the volume will be:
V=6x^3+11x^2-3x-2
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.
Answers
There are a couple of ways to think about overtime pay.
1) Figure the number of overtime hours, and multiply that number by 1.5 times the base pay. (OT pay) = (OT hours)*(1.5*(base pay))
2) Figure the number of overtime hours, and multiply that number by 1.5, then by the base pay. (OT pay) = ((OT hours)*1.5)*(base pay)
You can see the product is the same, only the sequence of computation is changed.
Then Jill's gross earnings can be computed as ...
(40 h +(6 h)*1.5)*(base pay)
(49 h)*($18.59/h) = $910.91
Jill's gross earnings for 46 hours' work will be $910.91.
Identify the coefficient of each term of the polynomial.
-2x+9
what is The coefficient of the first term is ....
what isThe coefficient of the second term is
Answers
The coefficient is a known number, written as a digit, whereas the variable is an unknown number, written as a letter to signify an unknown number.
So, the coefficient in the first term (or part of the equation) is -2. The coefficient in the second term is 9, and the variable in this equation is x.
Final answer:
The coefficient of the first term '-2x' in the polynomial is -2, and the coefficient of the second term '9' is 9.
Explanation:
In the polynomial -2x+9, each term has a coefficient. A coefficient is a number that multiplies the variable. The variable in the first term is x, and it is being multiplied by -2. Therefore, the coefficient of the first term is -2. The second term is a constant and does not have a variable associated with it. However, by convention, we can think of this term as 9 times x0, since any number raised to the zero power is 1. The coefficient of this constant term is 9.
Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk 2 quarts of orange juice 16 cups of milk 32 oz of lemonade . how many gallons of beverages did he buy
Answers
1 pint=0.125 gallons
1 quart=0.25 gallons
1 cup = 0.0625 gallons
1 oz = 0.0078125 gallons
thus amount of :
milk bought
0.125*2=0.25 gallons
orange juice bought:
0.25*2=0.5 gallons
milk bought:
16*0.0625=1 gallon
lemonade bought:
32*0.0078125=0.25 gallons
Thus total gallons made was:
0.25+1+0.5+0.25
=2 gallons
The amount of beverages did he buy will be 2 gallons.
What is conversion?Conversion means to convert the same thing into different units.
Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk, 2 quarts of orange juice, 16 cups of milk, and 32 oz of lemonade.
We know the conversion
1 pint = 0.125 gallons
1 quart = 0.25 gallons
1 cup = 0.0625 gallons
1 oz = 0.0078125 gallons
Then the amount of beverages did he buy will be
Milk bought
0.125 x 2 = 0.25 gallons
Orange juice bought:
0.25 x 2 = 0.5 gallons
Milk bought:
16 x 0.0625 = 1 gallon
Lemonade bought:
32 x 0.0078125 = 0.25 gallons
Thus total gallons made will be
→ 0.25 + 1 + 0.5 + 0.25
→ 2 gallons
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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?
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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?
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Linda bought circular table clothe that was a radius of 3 feet. What is the circmference to the nearest foot of linda's table cloth? (using Pie 3.14
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[circumference]=2*pi*r
for r=3 ft
[circumference]=2*pi*3-----> 18.84 ft-------> nearest foot-----> 19 ft
the answer is
19 ft
PLZ HELP ASAP CIRCLES
Answers
[tex] x^{2} -16x+ y^{2} -36=0 \\ \\ x^{2} -2(x)(8)+ y^{2} = 36 \\ \\ x^{2} -2(x)(8)+ 8^{2}+ y^{2} =36 +8^{2} \\ \\ (x-8)^{2}+y^{2}=100 [/tex]
Thus, we can say now:
Center of the circle is (8,0) and its radius is 10.
Simplify radical expression. Leave in radical form. the squarefoot of 7(the squarefoot of 14+the squarefoot 3)
Answers
1- You have the following radical expression given in the problem above:
(√7)(√(14)+√(3))
2- When you apply the distributive property, you obtain:
(√7)(√(14))+ (√7)(√(3))
3-Simpliying, you have:
(7√2)+(√21)
4- Therefore the answer is: (7√2)+(√21)
If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)
Answers
1. You have the following functions given in the problem above:
[tex]f(x)=x-6 [/tex] and [tex]g(x)=x1/2(x+3)=x(x+3)/2 [/tex]
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
[tex]g(x)*f(x)=(x-6)*x(x+3)/2 [/tex]
3. Applying the distributive property, you have:
[tex]g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2[/tex]
[tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2 [/tex]
The answer is: [tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2[/tex]
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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what is the volume of the cube shown below? 2 1/4
Answers
The volume of the given cube is 11.4 cubic units.
What is volume of cube?The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
The edge of the given cube is [tex]2\frac{1}{4}[/tex] =2.25 units.
We know that, the volume of a cube is a³, where a is an edge.
Here, volume = (2.25)³
= 11.390625
≈ 11.4 cubic units
Therefore, the volume of the given cube is 11.4 cubic units.
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Find the nth term of the sequence, then find the 20th term, 100th term and the series for each?
2/5, 1/15, -4/15,....
Answers
It's an arithmetic sequence where
[tex]a_1=\dfrac{2}{5}\ and\ d=-\dfrac{1}{3}[/tex]
nth term of the arithmetic sequence is equal:
[tex]a_n=a_1+(n-1)d[/tex]
Substitute:
[tex]a_n=\dfrac{2}{5}+(n-1)\cdot\left(-\dfrac{1}{3}\right)\\\\a_n=\dfrac{2}{5}-\dfrac{1}{3}n+\dfrac{1}{3}\\\\a_n=\dfrac{6}{15}+\dfrac{5}{15}-\dfrac{1}{3}n\\\\\boxed{a_n=\dfrac{11}{15}-\dfrac{1}{3}n}[/tex]
Other form:
[tex]a_n=\dfrac{11}{15}-\dfrac{5}{15}n\\\\\boxed{a_n=\dfrac{11-5n}{15}}[/tex]
[tex]a_{20}=\dfrac{11-5\cdot20}{15}=\dfrac{11-100}{15}=\dfrac{-89}{15}\\\\a_{100}=\dfrac{11-5\cdot100}{15}=\dfrac{11-500}{15}=\dfrac{-489}{15}=-\dfrac{163}{5}[/tex]
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
Answers
Experimental probability =(number of occurrence of event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given that 20 seeds we planted will be:
3/10×20
=6 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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State the domain of the relation
Answers
The domain is {-2,0,1,2,3,4}, assuming there is a point at (4,6).