Find the area of the largest rectangle that can be inscribed in the ellipse x2 / a2 + y2 / b2 = 1.

Answer:

i think the right one is H

The number line is drawn to find the open end point interval is infinity.

Number Line of an Open endpoint to the endpoint of number line =?

Selection of Open endpoint to the endpoint of the number line is  fit for the following intervals as such determined below :

basically the intervals are mentioned as follow

( ), [ ], ( ], [ )  

An open interval is mentioned (a, b), is an interval that does not contain its endpoints. When an interval involves infinity or negative infinity, hence the following rules for whether it is an open or closed interval. (a, and

(-a , a) are open intervals.

For instance [a,∞) doesn't contain all of its endpoints as mentioned . It's a real number where The interval has only one endpoint - a, so it contains all of its endpoints (however it only has one).

Secondly, the definition forgot to add that (−∞,∞) is also open

Take numbers as follows:

Final Answer  as followed  in intervals

(-2, 2)

[-2, 2]

(-∞, 2]

[2, ∞)

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Answer:

It has infinitely many solutions. The 4x's cancel themselves out and you are left with -5=-5, which is a true statement.

Step-by-step explanation:

branliest please

Answer:

Step-by-step explanation:

It’s c

The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable. A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

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Answer:

12.12

Step-by-step explanation:

the formula to find x in this case would be:

      ______

x=√14^2-7^2

x=√c^2﹣a^2=√14^2﹣7^2≈12.12436

Answer:

1. 8

2. 21÷3=7

3. 5x6=30

4. 7

Answer:

a

Step-by-step explanation:

triangles are pyramids and it has 6 sides

Answer:

Hexagonal prism

Step-by-step explanation:

We can rule out B and D because if it was a pyramid, there would be a triangle in the net (The net of a 3D shape is what it looks like if it is opened out flat). We can also rule on C because it it was a cylinder, there would be a circle in the net. Therefore, our remaining answer is A.

Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to a humorous effect.

Oscar Wilde wrote a play titled The Importance of Being Earnest, A Trivial Comedy for Serious People.

It is a farcical farce that was first presented on February 14, 1895, at the St James's Theatre in London.

The characters maintain false personae to avoid onerous social duties.

The play's main themes, which are based on late Victorian London social customs, are the triviality with which it treats institutions as important as marriage and the satire that results.

In "The Importance of Being Earnest," Oscar Wilde employs the literary devices of irony and hyperbole to hilarious effect as he criticizes upper-class Victorian society.

Therefore, Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to humorous effect.

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Answer:

Hello!

y = 90

x = 51

Hope that helps!

The missing part is 1/5. The complete expression is 1/7 of 1/5 is 1/35.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the expression:

1/7 of (...) = 1/35

To find the missing fraction:

Let n be the number.

So,

1/7(n) = 1/35

n = 7/35

n = 1/5

Therefore, 1/5 is the missing part.

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On solving the provided question we can say that here in null hypothesis a negative relationship; as anxiety rises less items are remembered

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

here,

in null hypothesis a negative relationship; as anxiety rises less items are remembered

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Answer:

Answer C 2,799.159

Step-by-step explanation:

[tex]v=\pi r^{2} h[/tex]

per year unit rate becomes 6 inches. This can be solved using the concept of unit rate.

A unit rate is a price for one of anything. This is expressed as a proportion with such a base of one. For instance, you would cover 7 yards on average every second if you covered 70 yards in 10 seconds. The ratios of 70 yards in 10 seconds and 7 yards in 1 second are both rates, however, the latter is a unit rate.

A rate is the ratio of two different measurement units, whereas a unit rate seems to be the ratio of two different units of measurement for just a single object.

unit rate for 30 inches per 5 years:

= 30 inches / 5 years

= 6 inches / 1 year

Thus, per year unit rate becomes 6 inches.

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The volume of the cylinder on the image is:

v = 36,424 in³

So the correct option is the second one.

We know that for a cylinder of diameter D and height H, the volume is given by the formula:

V = pi*(D/2)²*H

Where pi = 3.14

Here we know that:

D = 40 inches.

H = 29 inches.

Replacing that in the formula for the volume we will get:

V = 3.14*(40 in/2)²*29 in = 36,424 in³

So the correct option is the second one.

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Answer:

240

Step-by-step explanation:

The total overall profit of all the weekdays is 1200. The question asks for the average. 1200 divided by 5 is 240. the average is 240 dollars per weekday

Answer:

278

Step-by-step explanation:

average = sum/count

count = 7 (7 days)

monday = 150

tuesday = 250

wednesday = 200

thursday = 250

friday = 350

saturday = 450

sunday = 300

sum = 150 + 250 + 200 + 250 + 350 + 450 + 300 = 1950

mean = 1950/7 = 278.571428571 ≈ 278

9514 1404 393

Answer:

  7/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...

  Tan = Opposite/Adjacent

The side opposite angle A is BC, length 7. The side adjacent to angle A is AC, length 5. Then the tangent ratio is ...

  tan(A) = BC/AC

  tan(A) = 7/5

Answer:

2 solutions

Step-by-step explanation:

the plus or minus sign makes there be 2 solutions

[tex] \frac{4 + i \sqrt{14} }{3} [/tex]

and

[tex] \frac{4 - i \sqrt{14} }{3} [/tex]

Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

Given are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).

The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -

R' (1, -6)

S' (5, -3)

T' (3, 2)

The graph is attached.

Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

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Answer:

70

Step by step explanation

Answer:

150°

Step-by-step explanation:

The 70° angle is on a straight line so to find the next angel for the triangle

180-70=110

Angles in a triangle adds up to 180

so

110+40=150

180-150=30

Therefore the angle near x in the triangle is 30

To find x

180-30=150°

9514 1404 393

Answer:

  d)  all of the above are false

Step-by-step explanation:

Every ordered pair of real numbers is a point in the Cartesian coordinate system.

The various statement saying otherwise are all false.

The distance traveled from the starting point to the ending point is 30.35 km.

What is a bearing?

A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.

The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.

The x-coordinate of the final point is -

50 cos (27°) + 140 cos (117°) = -19

The y-coordinate of the final point is -

50 sin (27°) + 140 sin (117°) = 23.67

The distance from (0,0) to the final point is as follows -

d = √(-19)^2+(23.6)^2)

= √(921.27)

= 30.35 km

Therefore, the distance traveled is 30.35 km.

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Answer:

   - A bag of rice is $16.9

   - A bag of flour is $5.20

Step-by-step explanation:

Let R and F stand for the price of a bag of Rice and Flour, respectively.

We can use the information provided to set an equation that will predict the total cost for that restaurant, given the quantities of rice and flour received (Restaurants A and B)

A) 4R + 2F = 78   [4 bags of rice and 2 bags of flour, when multiplied by the prices per bag, R and F, will result in a total cost of $78.

B)  3R + 4F = 71.5  [Now it is 3 bags of rice and 4 of flour, for a total cost of $71.50

We have 2 equations and 2 unknowns.  We can use substitution to find the answers.  Take one of the equations and reorganize it to isolate one of the variables (R or F).  We'll take the equation for A and isolate F

---

A) 4R + 2F = 78

     2F = 78-4R      [subtract 4R from both sides]

       F = 39-2R      [divide both sides by 2]

We've isolated F, and we can use this definition of F in the second equation:

===

B)  3R + 4F = 71.5

3R + 4(39 - 2R) = 71.5  [Use the definition of F derived above.  In this manner, we have legally eliminated one of the two variables.  (Sneaky, effective, and fun)]

3R + 156 - 8R = 71.5   [Multiply, combine like terms, and simplify]

-5R = -84.5                  [Isolate R]

R = $16.9                      A bag of rice costs $16.9

Now use the price of rice (R=$16.9) in one of the equations.  Since the rearranged equation we used above is already conveniently written for F, we'll use it:

F = 39 - 2R

F = 39 - 2(16.9)

F = 39 - 33.8

F = $5.20                     A bag of flour costs $5.20

===

CHECK:

Do these two prices satisfy both equations we first formulated?

Restaurant A:  4R + 2F = 78?

                        4(16.9) + 2(5.20) = 78  YES

Restaurant B:  3R + 4F = 71.5?

                        3(16.9) + 4(5.20) = 71.5  YES

These are the correct answers.

The better deal would be 500 individual nerds candy for $5.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. The equal partition of bigger groupings into smaller parts is referred to as division.

The order of work assigned to and completed by the team of employees in order to optimize efficiency is known as the division of labor.

The splitting down of a job into multiple separate parts that make up the total is referred to as the division of labor. 500 individual nerds candy for $5 is preferable since you will have more candy and it will last longer.

Thus, The better deal would be 500 individual nerds' candy for $5 since you will have more candy and it will last longer.

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Marina's pension amount is calculated by multiplying 1.6% of her average salary for the last 5 years by the number of years she has worked, which is 30.

1.6% x $80,900 = $1,282.40

1.6% x $90,200 = $1,444.32

1.6% x $95,000 = $1,520.00

1.6% x $99,000 = $1,584.00

1.6% x $104,000 = $1,664.00

Total = $7,604.72

Pension amount = $7,604.72 x 30 years

= $228,141.60

Marina's pension amount is determined using a formula set by her employer, the Washington Performing Arts Center. This formula takes into account her average salary for the last five years, which is $469,100, and multiplies it by 1.6%, then by the number of years she has worked for the Center, which is 30. This results in a pension amount of $228,141.60. This amount will be paid each year until her death. This pension amount is calculated based on the salaries she has earned over the past five years, which include $80,900; $90,200; $95,000; $99,000; and $104,000.

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Answer:

2 gallons of milk per week

0.35 weeks(3.5 days) to consume 1 gallon

Step-by-step explanation:

Jaidyn's family drinks 10 gallons of milk every 5 weeks, which is a ratio of

10:5

To find how many gallons of milk they drink per week, you'd have to divide 10/5

10 ÷ 5 = 2

Considering that 1 week is 7 days, it would take them 0.35 weeks to consume 1 gallon of milk, which is the same as 3 and a half days.

Answer:

1 3/4

Step-by-step explanation:

1 3/4

Answer:

7/4

Step-by-step explanation:

Multiplying fraction is so easy just multiply the nominators with each other. Then the denominators.

21 *1 =21 and 4 *3=12

21/12 =7/4 just simplify

Answer:

A and D

Step-by-step explanation:

distance = rate x time

196 = 3.5r

r = 196/3.5

r = 56 mph

A) 56 x 4 = 224   Yes

B) 56 x 6 = 336    No

C) 56 x 9 = 494    No

D) 56 x 7 = 392     Yes