Write an equation of an ellipse with vertices of (-3, 0) and (3, 0), and co-vertices (0, -5) and (0, 5). Graph the ellipse.
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This graph is the answer:
Related Questions
Westley is 9 yars old. He is 3 years younger than his brother, Milo. Write and solve a subtraction equstion toshow how old Milo is.
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x - 3 = 9
add 3 to both sides to isolate x
x = 12
Milo is 12 years old.
To find Milo's age given Westley's age and the fact that Westley is 3 years younger than Milo, we can set up a subtraction equation and solve for Milo's age.
Explanation:To find out how old Milo is, we can use the given information that Westley is 9 years old and 3 years younger than Milo. We can set up a subtraction equation by subtracting 3 from Westley's age.
Let's represent Milo's age as 'x'. The equation would be:
Westley's age - 3 = Milo's age
Substituting Westley's age of 9 into the equation:
9 - 3 = x
Simplifying the equation:
x = 6
Therefore, Milo is 6 years old.
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Which choice represents the simplified form of the expression below and the values of x for which it is defined?
√3x^3 ÷ √x
A x √3 when x > 1
B x√ 3 when x < 0
C x √2x when x >0
D x√3 when x>0
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If two variables were completely correlated, their correlation coefficient would be:
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Factor the expression x^2-16x+63
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Final answer: (x-9)(x-7)
Check:
-9*-7=63
-9-7=-16
Simplify: (27)^1/3•(27)^2/3
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Answer:
3
Step-by-step explanation:
Because i said so
In this lesson, what kinds of exponents will be discussed?
zero exponents
fractional exponents
negative exponents
decimal exponents
square root exponents
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I am 100% positive this is from a certain place called Odyssey-ware, so the answers r both negative exponents and zero exponents XD
Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enclose the yard?
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190ft of fencing
find the slope of the line that contain the following points A(5,6),B(10,8)
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y2-y1/x2-x1
= 8-6/10-5
=2/5
14 x 2/7= please show work!!!
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So you'd multiply 14/1 x 2/7.
14x 2= 28
7x1= 7
So it would be 28/7
Which simplifies to 4
These fractions can be easier when we put a 1 under the 14
Lets set up our fractions like this.
[tex] \frac{14}{1} * \frac{2}{7} [/tex]
Now solve across.
14 x 2 = 28
1 x 7 = 7
Now we have this fraction.
[tex] \frac{28}{7} [/tex]
Now this also means
28 ÷ 7 = 4
So the answer to your fractions is 4.
Good Luck! <3
How to write 0.0000000000372 in scientific notation?
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Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have practical significance? Why or why not?
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Answer and step-by-step explanation:
Yes, it does have practical significance.
If the method was ineffective, the chance of an increase this large was 3/10, or 30%. This means with an ineffective teaching method, there was a 100-30 = 70% chance of not seeing a score increase this large.
Since we did see a result this large, and 30% is not a very large chance, we can say that the method was most likely effective.
The difference in SAT scores is statistically significant because there's only a 3/10 chance of observing such an increase by chance. However, it might lack practical significance because a 6-point increase, although positive, is relatively small and may not have a meaningful impact in real-world terms.
Explanation:The question you're asking relates to the concept of statistical significance and practical significance in Mathematics. Statistical significance means that the difference in results (in this case, the increase in SAT scores from 475 to 481) isn't likely due to chance. You've mentioned that there's a 3 in 10 chance of observing such an increase, so statistically, the new teaching method seems to have a significant effect.
However, practical significance refers to whether the difference is meaningful in real-world terms. This depends on context and judgement. In this case, a 6-point increase in the SAT score is a positive change, but it's relatively small and might not make a substantial difference to university admissions or student's mathematical competence. Therefore, one could argue that while the result is statistically significant, it may lack practical significance.
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In the right triangle ABC, CH (H is plotted on AB) is the altitude to the hypotenuse. Find the ratio of AH:HB, if the measure of BAC=30 degrees
Pls include full proof tysm!! <3
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This can be expressed as 3:1
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Explanation:
Draw out the right triangle ABC where the right angle is at angle C. Draw a perpendicular line segment from point C to the hypotenuse AB. Mark the angle BAC to be 30 degrees. Let the opposite side of the 30 degree angle be x units long. Let AH = y and HB = z. The goal is to find y/z which is the ratio AH:HB.
See Figure 1 (attached) for what the drawing should look like.
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Now add in the other angles such as ABC = 60 degrees. If you focus on triangle AHC, we have a right angle at angle H. At angle A we have the initial 30 degree angle. At angle C we have 60 degrees. See Figure 2.
Similarly, we have another 30-60-90 triangle for triangle CHB as shown in Figure 2.
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We'll use the special 30-60-90 triangle template as shown in Figure 3. Compare Figure 2 and Figure 3. Do this for triangle ABC. We see that AH+HB = y+z matches up with AB = 2x. This must mean that 2x = y+z
Furthermore, we have two additional 30-60-90 triangles which are smaller. For triangle AHC we have what you see in Figure 4. It looks a bit ugly but basically AH is equal to (x*sqrt(3))/2 since we divide the original x*sqrt(3) over 2. This is due to the fact that the hypotenuse is twice as large as the short leg. Now multiply the length of CH by value sqrt(3) to get what you see shown as the work on Figure 4. We end up wih y = (3x)/2. We'll use this later.
So write y = (3x)/2 down and put a box around it to remember to use it later.
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Now turn to Figure 5. This figure is a lot nicer than figure 4. Start with focusing on triangle CHB. The hypotenuse is BC = x. Half of this is x/2 which is the length of the short leg HB.
So z = x/2
--------------------
We found earlier that
y = (3x)/2
z = x/2
Divide the values to get
y/z = [ (3x)/2 ] divided by (x/2)
y/z = [ (3x)/2 ] * (2/x)
y/z = (3x*2)/(2*x)
y/z = (6x)/(2x)
y/z = 3
So after all that complicated messy work, we end up with the simple final answer of 3.
This can be expressed as 3:1
This means that AH is three times longer compared to HB (eg: AH could be 12 units long while HB is 4 units long)
What is 0.26 repeating as a fraction
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Answer:
0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Given : Expression 0.26 repeating.
To find : What is expression as a fraction?
Solution :
Let [tex]x=0.26666[/tex] ....(1)
Multiply both side by 10,
[tex]10x=2.666...[/tex] .....(2)
Subtract (1) and (2),
[tex]10x-x=(2.666...)-(0.2666...)[/tex]
[tex]9x=2.4[/tex]
[tex]x=\frac{2.4}{9}[/tex]
[tex]x=\frac{24}{90}[/tex]
[tex]x=\frac{4}{15}[/tex]
Therefore, 0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
The cost c in dollars of renting a paddle board for h hours is given by c = 25 + 7h. After how many hours is the cost $81?
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0.66 repeating as a fraction
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_
3
(two - thirds) is the answer
0.6 (with the 6 repeating)......if there is 1 number repeating, u put that number over 9.....6/9
0.67.(with the 67 repeating)...if there is 2 numbers repeating, u put those 2 numbers over 99.....67/99
0.678 (with the 678 repeating)...if there is 3 numbers repeating, u put those 3 numbers over 999....678/999
I would help founding P-15=13-6p
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-15 = 13 -7p
-28 = -7p
4 = p
Hope this helps!
When using the formula zx = x − μ σ for the z-score for the 11.7 data point:
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1. x= 11.7 μ = 7
2. z11.7= 1.3
3. Is 11.7 within a z-score of 3?
a. Yes because z11.7 < 3.
4. Which statement is true of z11.7?
b. z11.7 is between 1 and 2 standard deviations of the mean.
The value of the z-score is 1.33.
What is a z-score?The z-score is defined as the mean (average) values, measured in terms of standard deviations from the mean.
The formula is used to calculate z-score is;
Z-score = X-μ / σ
= 11.7-7 / 3.52
= 4.7/3.52
= 1.33
Hence, the value of the z-score is 1.33.
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Find the sum of (x+5) and (2x+3)
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=3x+8
hope that was helpful!
X-5-2X-3=
3X-8
Find three consecutive odd integers whose sum is between 27 and 51
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Final answer:
To find the three consecutive odd integers whose sum is between 27 and 51, set up an inequality with n representing the smallest integer. Solve the inequality to find the possible values for n, which are then used to derive the consecutive integers.
Explanation:
To find three consecutive odd integers whose sum lies between 27 and 51, we need to establish variables for the integers and then solve for them. Let's call the smallest integer n, the next integer will then be n+2 (since odd numbers are two units apart), and the largest integer will be n+4. The equation will be n + (n+2) + (n+4), which simplifies to 3n + 6.
Since their sum must be between 27 and 51, our inequalities are:
27 < 3n + 6 < 51
Subtract 6 from all parts of the inequality:
21 < 3n < 45
Now, divide everything by 3:
7 < n < 15
Since n must be an odd integer, we have the options 9, 11, or 13 for n. Therefore, our sets of three consecutive odd integers could be:
(9, 11, 13), (11, 13, 15), or (13, 15, 17).
58 people answered a survey saying they like cheese. There was a total of 74 people surveyed. What is the percentage of people who liked cheese? Round to the nearest tenth.
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The ______________ between any two points on a number line is the absolute value of the difference of the coordinates.
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The distance between any two points on a number line is the absolute value of the difference of the coordinates.
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Since,the difference of the coordinates between any two points on a number line is the distance between the coordinates,
Let two points a and b on the number line, we define the distance between these two points as
|a−b|
where |…| is the absolute value function. As we can see, the distance between two points is always non-negative.
So, the absolute value of the difference of the coordinates between any two points on a number line is always positive.
Hence,The distance between any two points on a number line is the absolute value of the difference of the coordinates.
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What is the coefficient in the expression 3x/13+4?
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The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
It is known that the coefficient is the constant which is in multiplication with a variable.
In general, variables are represented by x,y, and z.
The given expression is 3x/13 + 4.
Here,x is a variable therefore the term 3/13 will be a coefficient.
Hence "The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient".
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What is 3,920,000,000,000 in scientific notation? A. B. C. D.
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39.2×10^10
If its negative you will have to go left if positive you need to go right.
When doing Scientific Notation you need to found how many zeros there are. Then put them in to to this formula.
----- × 10 ^ (exponent of whatever exponent)
Ex: 3200 in scientific notation
3.2×10^2
Your answer is 39.2×10^10 or second line.
3.9 x 10^12
Have a nice day, please mark brainliest!
Also- Scientific notation is actually really easy! just move the zero and count them as you go!
Which ordered pair is on the inverse of f(x)?
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What is the value of k?
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115°+X° = 180°
X° = 180° - 115°
X° = 65°
but : 65° +(4k+5)° +(6k+10)° = 180°.. ( sum angles in the triangle)
10K +80° =180°
10K =100°
k = 10°
Ball bearings are shipped in boxes. Each bearing has a diameter of 0.96 cm each box can hold 8000 cm of ball bearings. How many ball bearings can one box hold.
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By calculating the volume of each ball bearing and considering the box's capacity, we determine that a box can theoretically hold 17,276 ball bearings. However, accounting for random packing efficiency, a box can actually hold approximately 11,059 ball bearings.
To determine how many ball bearings can fit in a box, we need to calculate the volume each ball bearing occupies and then see how many of these volumes can fit into the box's total capacity.
The diameter of each ball bearing is 0.96 cm. The radius (r) is half of the diameter: 0.96 cm / 2 = 0.48 cm.Next, we use the formula for the volume of a sphere, V = (4/3)πr³. Plugging in the radius:V = (4/3)π(0.48 cm)³ ≈ 0.463 cm³.The box can hold 8000 cm³ of ball bearings. To find the number of ball bearings that fit into the box, divide the box's volume by the volume of one ball bearing:
Number of ball bearings = 8000 cm³ / 0.463 cm³ ≈ 17276.68.Since we can't have a fraction of a bearing, we round down to the nearest whole number:
The box can hold 17,276 ball bearings.
Additionally, taking into account the closest random packing efficiency of approximately 0.64 for loose ball bearings:
Effective volume available for ball bearings = 0.64 × 8000 cm³ = 5120 cm³.Therefore, the actual number of ball bearings that one box can hold = 5120 cm³ / 0.463 cm³ ≈ 11059.18, which rounds down to 11,059 ball bearings.12-5x-4kx=y solve for x
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[tex]12 - 5x - 4kx = y -4kx - 5x = y - 12 Factor out variable x x(-4k-5)=y-12 x = (y+12)/(4k+5)[/tex]
Subtract 8 1/5-4 2/5. Simplify the answer and write as a mixed number.
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first make it into a improper fraction
41/5 - 22/5
then subtract
19/15
your answer is 19/15 in improper fraction:
19/15 = 1 4/15 in improper fraction
hope this helps
Answer: 4 1/5
Step-by-step explanation:
Subtract 8 1/5 - 4 2/5
Simplify answer
Write as mixed number
8-4 = 4
1/5 - 2/5 = 4 1/5
whats 22 less than a number n
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[tex]less \\ than = subtraction (-) \\ Number: n \\ \\ Translated: n - 22 \\ or \\ \\ 22 - n [/tex]
[tex]good \\ luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ your \\ day \\ \\ \\ \\ \\ \\ MeIsKaitlyn:)[/tex]
Angles a and b are complementary angles. if the measure of angle a is 30 more than the angle of measure b find the measures of the two ang;es
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a + b = 90
a = b + 30
now we sub
b + 30 + b = 90
2b + 30 = 90
2b = 90 - 30
2b = 60
b = 60/2
b = 30 <=== angle b is 30
a = b + 30
a = 30 + 30
a = 60 <=== angle a is 60