The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a > b
since a = 12, b = 10, hence:
[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
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Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If
Tamara has $135 how many hours can Tamara use the jet-ski?
Answer:
6 hours.
Step-by-step explanation:
deal: 135-(60+12.5h)=y
let h= # of hrs
135-60=75.
75/12.5=6 hours.
How to solve 8.9 times 6
Answer:
53.4
Step-by-step explanation:
8.9 × 6 = 53.4
Hope it help !
Which of the following best describes the slope of the line below?
O A. Negative
O B. Zero
O C. Positive
• D. Undefined
Answer:
B.zero
#carryonlearning
Answer:
D
Step-by-step explanation:
A vertical line parallel to the y- axis has an undefined slope
Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain round your answer to the nearest tenth?
Answer:
26.3 grams
Step-by-step explanation:
36% = 36/100 = 0.36
73 * 0.36 = 26.28 grams ≈ 26.3 grams
Answer:
i think 26.3 grams
Step-by-step explanation:
0.36×73 = 26.28
When rounded to the nearest tenth, 26.28 should be equal to 26.3
So Dante's the chocolate bar contains 26.3 grams of cocoa.
Calculate the volume of the cylinder:
10 cm
6 cm
Answer:
60
Step-by-step explanation:
10 ×6
that is the simple answer to your question
what is the difference between a population distribution and a sampling distribution
The difference between a population distribution and sampling a distribution
Definition: The Population Distribution is a form of probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
Defintion: The Sampling Distribution is a form of probability of a random sample out of a group of frequency which is made up of the sample of which the population has been picked out of, making it a partial research study
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
(image)
Which statement best describes a flaw in the student's proof?
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
The statement that best describes a flaw in the students' proof is;
Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
From the given image, we can see that;
AB ≅ DC
Let us analyze each given option;
A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.
They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.
B) In ΔABD and ΔBDC, we see that;
AB = DC. Also, by theorem of alternate interior angles, we can tell that;
∠ABD = ∠BDC
Similarly, ∠BDA = ∠DBC from alternate interior angles.
Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.
C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.
D) Corresponding angles lie on the same side of the transversal. In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.
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Can any one explain this question worth points! plz explain if you can
Answer:
x = 31
Step-by-step explanation:
The given angles are supplementary and their sum is 180 degrees
5x - 16 + x + 10 = 180 add like terms
6x - 6 = 180 add 6 to both sides
6x = 186 divide both sides by 6
x = 31
please help me asap
ty :)
Answer:
y = -1/7x + 1
Step-by-step explanation:
Subtract 3x both sides
21y = 21 - 3x
Divide by 21 both sides
y = 1 - 1/7x
y = -1/7x + 1
Please help with this question. I dont want another detention
Step-by-step explanation:
Total Students = 450 (Everything within the sample/rectangle)
Choir = 110
Band = 240
Both = 60 (Where both circles overlap)
110+240+60 = 410 (Total students in Choir or Band or Both)
410 ÷ 450 = 0.91111111
Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%
Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
Help me out plesseee!!
Step-by-step explanation:
the rate of change is officially
(f(x2) - f(x1)) / (x2 - x1)
but for a line function (as we have here) this is totally easy : it is the slope of the line.
and that means it is the factor of x.
in our case this is -3/2.
because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.
Answer: (f(x2) - f(x1)) / (x2 - x1)
because the slope of a line is the ratio "y coordinate change / x coordinate change".
Step-by-step explanation: HOPE IT HELPS YOU .THANKS .
What's the answer to this?
What the vertex of y=4(x-3)^2+3
Answer:
(3,3)
Step-by-step explanation:
we rewrite in vertex form and use this form to find the vertex (h,k)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: C) Today's soup will taste the same
====================================================
Explanation:
The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.
Divide both parts of the ratio by 12 to end up with 0.75:1
9/12 = 0.7512/12 = 1The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.
--------------
Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8
6/8 = 0.758/8 = 1The ratio 6:8 is the same as 0.75:1
---------------
We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.
Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.
Please help me with this question
Answer:
F
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
You only need to read as far as ...
y ≤
to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).
The graph with a solid line and shading below is graph F.
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
How do I solve for x?
Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.
So,
16 = x + 36
16 - 36 = x
-20 = x
______
Hope it helps ⚜
Select the correct answer.
Simplify the following expression.
What is the solution to this inequality?
−15x>75
x<−5
x>−5
x≥−5
x≤−5
Answer:
x < -5 (the first option)
Step-by-step explanation:
I hope this helps!
The solution of the inequality will be;
⇒ x < - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 15x > 75
Now,
Since, The inequality is,
⇒ - 15x > 75
Hence, The solution of the inequality is,
⇒ - 15x > 75
⇒ - x > 75/15
⇒ - x > 5
⇒ x < - 5
Thus, The solution of the inequality is,
⇒ x < - 5
Learn more about the inequality visit:
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A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.
The value of x is 3.
Given that,
If [tex]5 + 20 \times 2^{2-3x}[/tex],
And Baseline = [tex]10 \times 2^{-2x}+5[/tex]
We have to find,
The value of x?
According to the question,
To determine the value of x in the equation following all the steps given below.
Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]
Step1; Subtract 5 from both sides,[tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]
Step2; Divided by 10 on both sides,[tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]
Step3; Rewrite the term into their power form and add the powers,[tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]
Step4; The base is the same on both sides, we equate exponents,[tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]
Hence, The required value of x is 3.
For more details about the Exponent refer to the link given below.
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x+y=3
workout the value of 2x-2y
Answer:
-2
Step-by-step explanation:
x= 1
y= 2
2 times x(1)=2
2 times y(2)=4
2-4= -2
A,D And E Thats The Answers
Answer:
wait what? hmmm hmmmmmm
PLEASE HELP MEE i dont really understand this
4(p+1.25)=7 2/5
Answer:
p=0.6
Step-by-step explanation:
a farm is sold for $457000, which gives a profit of 19%. Find the profit
The answer sheet says it is $73,000
Answer: its 73,000
Step-by-step explanation: the answer sheet has the answers...
What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
Find out more on proportions at https://brainly.com/question/11570843.
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
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Find the value of x
6.1 - angles of polygons
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°