Review the diagram of a locket in the shape of an ellipse.
The major and minor axes are labeled in the diagram.
If the center of the locket is at the origin of a coordinate
plane, which equation represents the locket?
x2
361
+
72
= 1
169
OK
V2
361
+
X2
= 1
169
38 mm
x2
1.444
1
676
26 mm
0 ' '
x2
676
= 1
1,444
Answers
Answer:
D
Step-by-step explanation:
If a = 38 and b = 26 then the equation would be y^2/1444 + x^2/676 = 1
also just graph it or smth
The equation of the ellipse in the figure is x^2/676 + y^2/1296 = 1
How to determine the equation?The figure is an ellipse, and it has the following parameters:
Center, (h,k) = (0,0)Major radius = 36Minor radius = 26The equation of the ellipse is then calculated using:
x^2/r^2 + y^2/R^2 = 1
So, we have:
x^2/26^2 + y^2/36^2 = 1
Evaluate the exponents
x^2/676 + y^2/1296 = 1
Hence, the equation of the figure is x^2/676 + y^2/1296 = 1
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Related Questions
Can y’all help me on question 4?!
Answers
Answer:
D
Step-by-step explanation:
Frank is at point G: (-6,-1)
Jimmy is at point B: (4,1)
2. Construct Arguments Explain why -7 has a
greater absolute value than the absolute value
of 6.
5.-9
7.1-5
9. --
11.-1
Answers
Answer:
See below
Step-by-step explanation:
Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6
A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg
Maria has these ingredients.
1 quart of milk
8 cups of flour
12 eggs
How many more cups of milk does Maria need to make 40 pancakes in total?
Answers
Answer:
2.25 cups
Step-by-step explanation:
There are 5 eights in 40.
1.25 × 5 = 6.25
1.5 × 5 = 7.5
1 × 5 = 5
1 quart = 4 cups
6.25 cups - 4 cups = 2.25 cups
can someone help me with this PLEASE ITS KILLING ME!!!!
Answers
Volume of rectangular prism is 112
45+112=157
Answer is 157
I NEED HELP PLS HELP ME ASAP!!! I'LL GIVE YOU 100 POINTS!
Answers
Answer:
189 sq mm
Step-by-step explanation:
area = (21×18)/2 = 189 sq mm
What's the equation and solution?
Answers
Using the Algebraic tile method we get x=2 solution for equation model
What is Algebraic Tile method?The algebra tile method is a method of solving equations by using visual models, such as tiles with different values on them, to represent the unknowns and constants in the equation. It is often used to help students understand the process of solving equations and to see how the operations of addition and subtraction correspond to the process of combining or separating algebraic expressions.
In the question, we have 3 kinds of tile
X tilesunit positive tilesunit negative tilesEquation will be :
⇒ 3x - 1 - 1 = 1 + 1 + 1 + 1
⇒ 3x - 2 = 4
⇒ 3x = 6
⇒ x = 2
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I have a question for someone out there I'm 10 and need some help what is 1/10+10/100
Answers
Answer:
0.2
Step-by-step explanation:
1/10 = 0.1
10/100 = 0.1
0.1+0.1 = 0.2
3/4 of a cup of sugar is needed to make 3 1/3 batches of banana bread.How much is needed to make 1 batch?
Answers
Answer:9/40
Step-by-step explanation:
3/4=10/3x
3/4*3/10=x
9/40=x
The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).
How can the y-intercept of the line be interpreted?
The minimum time spent on homework is approximately 72 hours.
The average time spent on homework is approximately 7.9 hours.
If no time is spent on homework, the test grade is approximately 72.
If no time is spent on homework, the test grade is approximately 7.9.
Answers
Answer:
If no time is spent on homework, the test grade is approximately 72.
Step-by-step explanation:
The y-intercept of the line can be interpreted if no time is spent on homework, the test grade is approximately 72.
What is the y intercept?
A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero.
If x is zero, y = 0 + 72
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1) Is a t-Distribution Appropriate?
A sample with size n=75 has x¯=18.92, and s=10.1. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No
If it is appropriate, give the degrees of freedom for the t-distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.
Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places.
df=
standard error =
2) Is a t-Distribution Appropriate?
A sample with size n=10 has x¯=508.5, and s=21.5. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No
Answers
Answer:
1) Yes
2) No
Step-by-step explanation:
In the first test t distribution is appropriate to use because in the dot plot the 16 data points can be seen other the the data points clustered round the mean.
Here degrees of freedom = n-1= 74
S. E= s/√n
S.E= 10.1/ √74= 1.17
For t - distribution it is assumed that the sample is approximately normal which is visible in the dot plot in the first test.
In the second case z test should be applied.
Z test is used when the population standard deviation is not known .
In the second test t distribution is not appropriate to use because in the dot plot only 2 data points can be seen other the the data points clustered round the mean.
For t - distribution it is assumed that the sample is approximately normal which is not visible in the dot plot.
find -2/6 + (5/6) model the expression on the number line
Answers
The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).
Modelling -2/6 + (5/6 on the number lineTo correctly model the expression -2/6 + (5/6) on a number line, we can use the following steps:
Start at 0 on the number line.Move to the left by 1/3. This represents the value of -2/6 which is equivalent to -1/3.Move to the right by 5/6. This represents the value of 5/6.The final point on the number line will be 2/3 to the right of the point (-1/3) which we reached in step 2, this represents the sum of -2/6 and 5/6, which is the final result.So to model the expression -2/6 + (5/6) on a number line, we start at 0 and move 1/3 to the left, to represent -2/6, and then move 5/6 to the right to represent 5/6. The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).
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4.4) Find the least number by which 768 must be multiplied so as to make it a perfect square
Answers
Answer:
3
Step-by-step explanation:
768 can be broken down to:
2×2×2×2×2×2×2×2×3
The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.
768 × 3 is 2304.
Sqrt2304 is 48.
Multiply 768 by 3 to make it a perfect square.
Refer To The Given Image
3)
A SAS
C) SSS
B) AAS
D) ASA
Answers
Answer:
D) ASA
Step-by-step explanation:
A student is graduating from college in 12 months but will need a loan in the amount of $10,958 for the last two semester. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 3.85%, compounded monthly, and a grace period of six months from time of graduation
PLUS loan: annual interest rate of 4.15%, compounded monthly, with a balance of $11,421.51 at the time of repayment
Which loan will have a higher balance, and by how much at the time of repayment?
Answers
Answer:
To determine which loan will have a higher balance at the time of repayment, we need to calculate the balance of each loan after the interest has been compounded over the repayment period.
The unsubsidized Stafford Loan has an annual interest rate of 3.85% and a grace period of six months from the time of graduation. This means that the loan will accrue interest for a total of 12 months - 6 months = 6 months.
The balance of the unsubsidized Stafford Loan at the time of repayment can be calculated using the following formula:
Balance = Principal * (1 + Interest rate / Number of compounding periods per year)^(Number of compounding periods)
Plugging in the given values, we have:
Balance = $10,958 * (1 + 0.0385 / 12)^(6) = $10,958 * (1.003125)^(6) = $11,283.16
The PLUS loan has an annual interest rate of 4.15% and a balance of $11,421.51 at the time of repayment.
The balance of the PLUS loan at the time of repayment can be calculated using the same formula:
Balance = $11,421.51 * (1 + 0.0415 / 12)^(6) = $11,421.51 * (1.003479)^(6) = $11,973.54
Therefore, the PLUS loan will have a higher balance at the time of repayment, by $11,973.54 - $11,283.16 = $690.38.
Step-by-step explanation:
100 points Pls help me with the red ones
Answers
For 36 people with peanuts = 9 cups
For 4 people with peanuts = 1 cup
For 6 people with peanuts = 1.5 cups
For 4 people with M & MS = 8/12 cups or 0.67 cups
For 6 people with M & MS = 1 cup
For 36 people with raisins = 1.5 cups
For 4 people with raisins = 2/12 cups or 0.17 cups
For 6 people with raisins = 0.25 cups
For 36 people with candy corn = 3.9 cups
For 4 people with candy corn = 0.43 cups
For 6 people with candy corn = 0.65 cups
Step-by-step explanation:
1. Set up a proportion to find how many cups it takes to feed 36 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/36. Cross multiply. This would give you 12x = 108. Divide 12 on both sides. Now, the equation is solved since you found out x = 9 cups.
2. Set up a proportion to find how many cups it takes to feed 4 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/4. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.
3. Set up a proportion to find how many cups it takes to feed 6 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/6. Cross multiply. This would give you 12x = 18. Divide 12 on both sides. Now, the equation is solved since you found out x = 1.5 cups.
4. Set up a proportion to find how many cups it takes to feed 4 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/4. Cross multiply. This would give you 12x = 8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.67 cups.
5. Set up a proportion to find how many cups it takes to feed 6 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/6. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.
5. Set up a proportion to find how many cups it takes to feed 36 people raisings given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.
6. Set up a proportion to find how many cups it takes to feed 4 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/4. Cross multiply. This would give you 12x = 2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.17 cups.
7. Set up a proportion to find how many cups it takes to feed 6 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/6. Cross multiply. This would give you 12x = 3. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.25 cups.
8. Set up a proportion to find how many cups it takes to feed 36 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.
9. Set up a proportion to find how many cups it takes to feed 4 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/4. Cross multiply. This would give you 12x = 5.2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.43 cups.
10. Set up a proportion to find how many cups it takes to feed 6 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/6. Cross multiply. This would give you 12x = 7.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.65 cups.
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.
Answers
Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) = CE/AE=5/8
m(∠CAE) = tan-1 (5/8)
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° = BE/AE
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, the total height of the silo is 18 ft.
James is 425% heavier than his baby brother. Which of the following is equal to 425%
A) 425
B) 40 1/2
C) 4 1/4
D) 17/20
Answers
Need help ASAP! See images below
Answers
Answer and Step-by-step explanation:
The kite area formula:
A = [tex]\frac{pq}{2}[/tex]
P = Line RP
Q = Line QS
A = [tex]\frac{38 + 16}{2}[/tex] = [tex]\frac{54}{2}[/tex] = 27
27 is the answer.
#teamtrees #PAW (Plant And Water)
Which expression is equivalent to (ab6)4?
a4b24
ab24
a5b10
ab28
Answers
Answer:
a^4b^24
Step-by-step explanation:
We know, (xy)^n = x^ny^n. So,
(ab^6)^4 = a^4b^(6×4)
= a^4b^24
Gemma has 3 rose bushes, each with the same number or roses. She picks 4 of the roses. There are 20 roses left on the rose bushes. How many roses were on each rose bush?
Answers
There were 8 roses on each bushes
How to calculate the number of roses on each bush?
Gemma has 3 rose bushes
Each bush has the same number of roses
She picks 4 of the roses
After picking the roses, there are 20 left in the bushes
Therefore the number of rose on each bush can be calculated as follows
20 + 4
= 24
24/3
= 8
Hence there are 8 roses in each bush
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Plz help I will give brainiest
Answers
Answer:
50% for all of em
Step-by-step explanation:
please help me!
Please explain it
Answers
Answer:
1,416 cm²Step-by-step explanation:
There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.
To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.To find the area of a rectangle, multiply the width by the length.First, find the area of the triangles.
In this figure, there are two triangles with heights of 12 and bases of 18.
[tex]12 * 18 = 216[/tex]
Then, multiply the product by 1/2.
[tex]216 * 1/2 = 108[/tex]
There are two triangles, so multiply, the product, 108, by 2.
[tex]108*2 = 216[/tex]
The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.
Secondly, find the area of the rectangles.
There are two rectangles with widths of 25 and lengths of 15.
[tex]25*15 = 375[/tex]
There are two rectangles, so multiply the product, 375, by 2.
[tex]375*2 = 750[/tex]
The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.
Lastly, we find the area of the rectangle in the middle.
This rectangle has a length of 18 and a width of 25.
18[tex]18*25 = 450[/tex]
The area of this rectangle is 450 cm.
Lastly, add the areas of all the shapes.
[tex]108 + 108 + 375 + 375 + 450 = 1,416.[/tex]
Therefore, the area of this figure is 1,416 cm².
You are given the expression 128/124 to simplify.
PART A
Which equation shows the correct property of exponents
to use?
am
an = am+n
am
an = am-a
am
an = am-n
am
an = an-m
Answers
For the laws of exponents, one of the laws are a^m/a^n = a^m-n
4/9 dividend by 2/3 =
Please help!!!will give brainlest
Answers
Answer:
2/3
Step-by-step explanation:
4/9 divided by 2/3 = 4/9 times 3/2
= 2/3
A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.
Answers
The side lengths are;
tan x = e/f
cos x = e/d
sin x = f/d
What is a right angled triangle?We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.
There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.
The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.
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Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.
Answers
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
Rounded to the nearest $10, the $49.35 bill becomes $50.
We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.
Then 5% of $50 is half of 10%, so is $5/2 = $2.50.
The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...
15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50
The estimated 15% tip is $7.50.
9 - 3 ÷ 1/3 + 1 = ? HELP ME
Answers
Answer:
1
Step-by-step explanation:
9 - 3 ÷ 1/3 + 1
first do division
3 ÷ 1/3 = 9
9 - 9 + 1 = 1
PLEASE HELP!!! THANK YOU!!!
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
A. 4%
B. 2%
C. 3%
D. 1%
Answers
Answer:
A. 4%
Step-by-step explanation:
remember that there are 52 weeks in a year, so multiply 1000 by each answer, then multiply what you get by 52 to see if it is either below 2000 or just above 2000, and you'll see how i got 4%.
Answer:
3 or 2
Step-by-step explanation: I don't know, but I am gonna say that is the interest rate for the invest for saving up $2000
(Please correct me if I am wrong)
2x+3y=9. SOLVE FOR X
Answers
Answer:
Step-by-step explanation:
Let's solve for x.
2x+3y=9
Step 1: Add -3y to both sides.
2x+3y+−3y=9+−3y
2x=−3y+9
Step 2: Divide both sides by 2.
2x/ 2 = −3y+9/ 2
x= −3/ 2 y+ 9/ 2
Answer:
x= −3/ 2 y+ 9/ 2
Find the distance between the two points.
✓ [?]
(-1,-2)
(3,-1)
Enter the number that
goes beneath the
radical symbol.
Answers
Answer:
d = √17, meaning that the number that goes beneath the radical symbol is 17.
Step-by-step explanation:
Refresh if you are unable to see below.
[tex]\text{Use the distance formula.}\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\text{Substitute the points.}\\d=\sqrt{(3-(-1))^2+((-1)-(-2))^2}\\\text{Subtract.}\\d=\sqrt{(4)^2+(1)^2}\\\text{Evaluate the powers of 2.}\\d=\sqrt{16+1}\\\text{Add.}\\d=\sqrt{17}[/tex]