Please answer quickly, I will give Brainlist and lots of points.
An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.
Which is a correct value for one of the variables shown in the equation?
a = 10
b = 4
h = 3
k = 0
Answers
Answer:
A. A=10
Step-by-step explanation:
you’re welcome
The equation of the ellipse is required \frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1
The required equation is
[tex]\frac{x^2}{16} +\frac{(y+4)^2}{25}=1[/tex]
It can be seen that the major axis is parallel to the y axis.
The major axis points are
[tex](h,k+a)=(0,1)\\(h,k-a)=(0,-9)\\k+a=1\\k-a=-9[/tex]
Subtracting the equations
[tex]2a=10\\\implies a=5[/tex]
The foci are
[tex](h,k+c)=(0,-1)\\(h,k-c)=(0,-7)[/tex]
[tex]k+c=-1\\k-c=-7[/tex]
Subtracting the equations
2c=6
c=3
k+c=-1 implies that k=-1-c
k=-1-3
k=-4
What is the equation of the ellipse?[tex]\frac{(x-h)^2}{b^2} +\frac{(x-h)^2}{a^2}=1[/tex]
So we get,
[tex]\frac{(x-0)^2}{4^2} +\frac{(y+4)^2}{5^2}=1[/tex]
[tex]\frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1[/tex]
Therefore the equation is, [tex]\frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1[/tex].
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Related Questions
If you want to sell your cupcakes for $2 per dozen, you can make a profit of $160. If raise the cupcake price by
$1, you can make a profit of $216. If you raise the cupcake price by $2 (which makes them S4 per dozen) you can
make $256 profit. What is the maximum profit you can make? What should you charge for your cupcakes?
Answers
The maximum profit is $288, and you should charge $6 per dozen.
How to get the relation between demand and prize?
Let's assume that demand depends linearly on price, such that we can write:
q = a*p + b
where q is the demand and p is the price.
We have 3 points of that line:
When you sell at $2 per dozen, you win $160, so you sold 80 dozens.When you sell at $3 per dozen, you win $216, so you sold 72 dozens.When you sell at $4 per dozen, you win $256, so you sold 64 dozens.The slope of the line is given by:
[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]
Where these are values of demand and prize for two different points, if we use the first two points we get:
[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]
Then the line is something like:
q = -8*p + b
Remember that when p = 2, the demand is equal to 80, replacing that we get:
80 = -8*2 + b
80 + 16 = b = 96.
So the line is:
q = -8*p + b
How to maximize the profit?Profit is given by the product between the demand and the price, so we have.
Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p
We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:
p = -96/(2*-8) = 6
Then the maximum profit is:
profit = -8*(6)^2 + 96*6 = 288
The maximum profit is $288, and you should charge $6 per dozen.
If you want to learn more about linear relations, you can read:
https://brainly.com/question/1884491
HELP ASAP
The minute hand of this clock is shown in two positions. The minute hand first forms a 46° angle with the hour hand. It then forms an 84° angle with the hour hand.
How many degrees did the minute hand turn from its first position to its second position?
Enter your answer in the box.
Answers
Answer:
38 degrees
Step-by-step explanation:
To get the answer, we need to subtract the first angle from the second angle:
84-46=38
The minute hand turned 38 degrees from its first to second position.
How to check the answer? Use inverse operations.
46+38=84
The sum of the measures of angle A and angle B is 90°
• The measure of angle A is (4x + 30)
The measure of angle B is (40)
What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
Given:
The sum of the measures of angle A and angle B is 90° The measure of angle A is (4x + 30)The measure of angle B is (40)To Find:
What is the value of x?
Note:
Two angles that add up to give you 90° is a complementary angle.
Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.
Solve:
The following equation can be created to solve for the value of x:
m ∠A + m∠ B
Substitute
40 + 4x + 30 = 90
Add like terms
4x +70 = 90
Subtract 70 from both sides
4x = 90-70
4x = 20
Divide both sides by 4
x = 5
Therefore, the value of x is 5
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Nick is single. His gross income is $42,000. His deductions are $4,250. Nick's income tax is $_____.
Answers
Answer:
tax is 37,750 $
Step-by-step explanation:
Hope It Helps
Find the missing side (X) round to the nearest hundredth
Answers
Answer:
[tex]\displaystyle 18,28 ≈ x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
OR
[tex]\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
At band practice there were 8 rows of
students, with 3 students in each row. There
were also more students in the back of the
room. There was a total of 29 students in
the band. How many students were in the
back of the room?
Answers
Answer:
There were 5 students in the back of the room.
Step-by-step explanation:
8x3=24
Which means that there were 24 students on the stage
Then...
29-24=5
Which means that there were 5 students in the back of the room.
Thanks!
a garden patio is covered with grey and yellow slabs
Answers
Answer:
ok........
Step-by-step explanation:
his figure is the pre-image of a prism that has undergone a dilation with a scale factor of 6/5.
What is the surface area of the image after the dilation?
2533 1/3 mm²
3916 4/5 mm²
4377 3/5 mm²
5253 3/25 mm²
Answers
Answer:
2533 1/3
Step-by-step explanation:
becuase if you take the denominator you get it[tex]\sqrt{x} x_{123} \\ x^{2} x^{2} \alpha \beta \lim_{n \to \infty} a_n \leq \alpha \\[/tex]
Answer:
D: 5253 3/25 mm²
Find the volume of a right circular cone that has a height of 15 ft and a base with a radius of 7. 9 ft
Answers
Answer:
883.57
Step-by-step explanation:
closet answer I can find
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of january. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will abby’s january finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
Answers
Abby's January finance charge is $7.22, the correct option is C.
What is the adjusted balance method?Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after posted credits and payments.
The total amount on which interest will be applied using the adjusted balance method is;
[tex]=722.10 + 18.12-65.00 +18.00 + 44.79+ 34.25 - 40.00\\\\= 732.26[/tex]
Abby’s January finance charge will be;
[tex]= 732.26 \times 11.83 \times \dfrac{30}{360}\times \dfrac{1}{100}\\\\= 7.22[/tex]
Hence, Abby's January finance charge is $7.22.
To get more about the adjusted balance method please refer to the link,
brainly.com/question/14351468
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of January. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will Abby’s January finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
The answer is C.
The evacuation slide from an aircraft is shown. If the slide is 73 feet long, what is its height at the top in feet?
Answers
Answer:
48 feet.
step-by-step explanation:
given slide length: 73 feet longgiven base length: 55 feet longusing Pythagoras theorem:
a² + b² = c²
h² + 55² = 73²
h² = 73² - 55²
h² = 5329-3025
h² = 2304
h = √2304
h = 48
Answer:
x = 48 ft
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = xb = 55 ftc = 73 ftSubstitute the given values into the formula and solve for x:
⇒ x² + 55² = 73²
⇒ x² + 3025 = 5329
⇒ x² = 5329 - 3025
⇒ x² = 2304
⇒ x = ±√2304
⇒ x = ±48
Since distance is positive, x = 48 ft
The grades on a math exam are normally distributed with μ = 45 and σ = 5. Celestine obtained 55 on the exam. Find the z-score that corresponds to Celestine’s score.
Answers
Answer:
2
Step-by-step explanation:
Use z score formula.
55 is x
plug in u and sd.
5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together
Answers
Answer:
Solving steps:
Question:5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together.
Find:the probability that all girls sit together.
Solution: 5 boys and 4 girls, 9 kids in all, can be seated in a row in 9! ways. In order to find the number of ways, where the 4 girls are seated together, we place them in an imaginary group Z, so that they are not separated in the seating arrangements. Now we have 6 entities, namely 5 boys and one group of girls, and the number of ways of their seating is 6!. For each of these 6! ways, the 4 girls can be seated within the group Z in 4! ways. So the number of ways in which the 4 girls are seated together, is 6!/4!.
So the probability, as requested, is (6!4!)/9! = 24/(7x8x9) = 1/21
What is the distance between the points (6,8) and (-4,2)
Answers
Answer:
2√34
Step-by-step explanation:
→ Find the difference between the x coordinates
-4 - 6 = -10
→ Find the difference between the y coordinates
2 - 8 = -6
→ Use Pythagoras
√ -10² + 6²= 2√34
A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1,8.1).
Answers
The claim supported by the confidence interval is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
What is the confidence interval?The 95% confidence interval for the difference(southern - northern) is given by:
(7.1, 8.1)
Since the entire confidence interval is above 0, the claim supported by it is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
More can be learned about confidence intervals at https://brainly.com/question/25890103
If I have 10,000 dollars
And spend some
And only have 491.2 left
How muchs dids I spents
Answers
Answer:
9,508.8 dollars spent
Step-by-step explanation:
subtraction.
Answer:
$9,508.8
Step-by-step explanation:
10,000-491.2=ans
expand (5/8x+y^5)(y^5-5/8 x)
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST
Answers
Answer:
[tex]y^{10}-\dfrac{25}{64}x^2[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac58x+y^5)(y^5-\frac58 x)[/tex]
Change the order of the terms in the first parentheses:
[tex]\implies (y^5+\frac58x)(y^5-\frac58 x)[/tex]
Apply the Difference of Two Squares: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\implies (y^5)^2-(\frac58x)^2[/tex]
Apply exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex]
[tex]\implies y^{10}-(\frac58x)^2[/tex]
Apply exponent rule [tex]\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]
[tex]\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)[/tex]
[tex]\implies y^{10}-\dfrac{25}{64}x^2[/tex]
question of types of numbers
Answers
See below.
Step-by-step explanation:
-7/3 = rational number
Reason = it can be expressed in the form of p/q where q ≠ 0.
2π = irrational number
Reason = π is a recurring & non-repeating number, so it's irrational. Then 2 times π is also irrational.
³√9 = irrational number
Reason = ³√9 = 2.08008......
2, 3 = rational numbers, integers, whole numbers, natural numbers.
Reason = it can be expressed in the form of p/q where q ≠ 0. (2/1, 3/1).
0 = rational number, integer, whole number.
Reason = it can be expressed in the form of p/q where q ≠ 0. (0/1).
√4 = rational number
Reason = √4 = 2; it can be expressed in the form of p/q where q ≠ 0. (2/1).
10 = rational number, integer, whole number, natural number.
Reason = it can be expressed in the form of p/q where q ≠ 0. (10/1).
________
Hope it helps ⚜
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all of the muffins?
A.18/48
B.9/8
C.18/8
D.48/3
Answers
Answer:
C
Step-by-step explanation:
Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.
Please This answer this on a correct answer please I need it now
Answers
Answer:
wait i will comment
can you wait
HELP PLEASE
evaluate the expression if
x=12, y=8, and z=3
5y+ x/z
Answers
Answer:
Given expression ,
[tex]\bold\purple{5y + \frac{x}{z}} \\ [/tex]
Also ,
value of x = 12
value of y = 8
value of z = 3
Substituting the values of x , y and z in the expression given , we get
[tex]\bold{⇢5(8) + \cancel{\frac{12}{3} }} \\ \\ \bold{ ⇢40 + 4} \\ \\ \bold\red{ ⇢44}[/tex]
hope helpful~
Hello.
First, let's plug in the values of the variables.
x=12
y=8
z=3
[tex]\mathrm{5(8)+\displaystyle\frac{12}{3}}[/tex]
5 times 8 equals 40:
[tex]\mathrm{40+\frac{12}{3}}[/tex]
12 divided by 3 equals 4:
[tex]\Large\boxed{44}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
what is 5/8 divided by 1 1/3
Answers
Answer:
Reduce the expression, if possible, by canceling the common factors.
Exact Form:
15/32
Decimal Form:
0.46875
Step-by-step explanation:
Good Luck!
Answer:
hope this helps
Step-by-step explanation:
Which quantity could go in the blank to make the equation true?
A- 2x
B- 3x
C- 2
D- 3
Answers
What is the answer for this problem I need help!
Answers
Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
one fifth of the sum of 10 and a number q
Answers
Answer:
(10 + q) ÷ 5
Explanation:
the sum of 10 and a number q is 10 + q
one fifth is dividing by 5
so (10+q) ÷ 5
Megan added two numbers and the resulting sum was the new rational number. If the first number was 2/3, which of the following could be the second number? Select two that apply
Answers
Answer:
I have no idea and I'm not that smart
What is the direction of b?
A. north B. south C. east D. west
Answers
Answer:
A. North
Step-by-step explanation:
Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?
Answers
Answer: Sara's transaction involved more money.
Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.
can someone help me with these
Answers
Answer:
a=(x+7)(x+-2)
Step-by-step explanation:
(x+a)(x+b)=x²+(a+b)x+(ab)
Answer:
a) (x +7)(x -2)
b) x = -7 or +2
Step-by-step explanation:
a)A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:
-14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)
Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...
x² +5x -14 = (x +7)(x -2)
__
b)The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.
x +7 = 0 ⇒ x = -7
x -2 = 0 ⇒ x = 2
The solutions are x = -7 or x = 2.
Solve for x to the nearest tenth.
Answers
Answer:
11.4
Step-by-step explanation:
Subtract 14-7 to get the height of the triangle. 9 is the width.
Now we need to find the hypotenuse which is c^2=a^2+b^2
x^2=7^2+9^2=11.4
Let me know if this helped <3