i need help on this one please help! (listing BRAINLIST and giving points) ​:D​

The equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1

To find the center of the ellipse, we can find the midpoint between the two vertices:

Midpoint = ((-8 + 4)/2, (4 + 4)/2) = (-2, 4)

So the center of the ellipse is (-2, 4).

To find the semi-major axis (a), we can find the distance from the center to one of the vertices:

Distance = √[(-8 - (-2))² + (4 - 4)²] = √36 = 6

So the semi-major axis is 6.

To find the distance between the foci (2c), we can find the distance between the two foci:

Distance = √[(-3 - (-1))² + (4 - 4)²] = 2

So 2c = 2 and c = 1.

Now we can use the relationship between a, b, and c in an ellipse:

c² = a²- b²

(1)² = (6)² - b²

b² = 35

b ≈ 5.92

So the semi-minor axis is approximately 5.92.

Therefore, the equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1

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Correct question is "vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4), find the equation of the ellipse."

Answer:

After applying the distributive property, Ezra's expression was 8y + 16

After he used the commutative property, his expression was 16 + 8y

Step-by-step explanation:

Distributive property rule: a(x+y) = ax + ay
   Not much to explain here

Commutative property rule: a + b = b + a   or  xy = yx
   We use addition rule in this case, simply place 16 in front of 8y

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

Step-by-step explanation:

Observe that \(y^6-64=y^6-2^6.\)

And you factor out using this expression:

\((a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)\)

Take a=y and b=2.

Answer:

(y - 2)(y + 2)(\(y^{4}\) + 4y + 16)

Step-by-step explanation:

\(y^{6}\) - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

\(y^{6}\) - 64

= (y² )³ - 4³

= (y² - 4)(\(y^{4}\) + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)(\(y^{4}\) + 4y + 16)

Answer:

28.8 yd^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height in this triangle is 6.4 yd and the base is 9 yd

1/2*9*(6.4) = 28.8

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a  

Quadratics are then the solutions to the differential equation

f′′=C  

An exponential function is one in the following form.

g(x)=Aekx  

It’s rate of change is another exponential function.

g′(x)=Akekx  

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Step-by-step explanation:

If the sin 0° = 0, then which statement is true?

1) cos 90° = 0, because the cosine and sine are complements

2) cos 180° = 1, because the cosine and sine are supplements

3) cos 90° = 1, because the cosine and sine are complements

4) cos 180° = 0, because the cosine and sine are supplementscc

Answer:

105 rabbits

Step-by-step explanation:

Multiple 5 percent by six days

5%x6=30%

150 rabbits --- 100%

x ----- 30%

100x=150x30

100x=4500 : 100

x=45

150-45=105

Answer:

880

Step-by-step explanation:

I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.

Answer:

1050

Step-by-step explanation:

I'm pretty positive it would be 1050 by multiplying 50 and 20 and adding 50

The total number of seats in the auditorium are 2225.

Given is that an auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21 seats, the third row has 22 seats.

We can write the sequence as -

20, 21, 22, 23, 24, .......,

It is a arithmetic sequence. We can write the total number of seats in the auditorium as the sum of the terms of the sequence. We can write -

S{n} = (50/2)(2 x 20 + 49 x 1)

S{n} = 25(40 + 49)

S{n} = 25 x 89

S{n} = 2225

Therefore, the total number of seats in the auditorium are 2225.

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Answer: 300 hrs

The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Step-by-step explanation:

Given that;

Raleigh driver spent 18 hours in traffic jams

And it accounts for 6% of their total driving time

Now

let total driving time be = x hrs

so

6% of total driving time = 18 hrs

6/100 × x = 18hrs

6x = 1800 hrs

x = 1800/6

x = 300 hrs

∴ The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

2

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

1

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

2

Find the union of these primes.

2,2,2,32,2,2,3

3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

The given log expression can be expanded as ...

  \(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)

The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

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This means that 90% of the jackets have a rating of 81 or lower, while 10% have a rating higher than 81.

Percent is a way of expressing a quantity as a fraction or a ratio of 100. The word "percent" means "per hundred." It is denoted by the symbol % and is used to describe a portion or a fraction of a whole, where 100% represents the whole. For example, if 40 out of 100 students in a class passed an exam, we can say that 40% of the students passed. Percentages are commonly used in everyday life, finance, and mathematics to represent changes, discounts, taxes, and interest rates.

Here,

a. To find the mean, we add up all the ratings and divide by the total number of jackets:

(42 + 66 + 67 + 71 + 78 + 62 + 61 + 76 + 71 + 67 + 61 + 64 + 61 + 54 + 83 + 63 + 68 + 69 + 81 + 53) / 20 = 67.7

So the mean rating is 67.7.

To find the median, we first need to put the ratings in order from lowest to highest:

(42, 53, 54, 61, 61, 61, 62, 63, 64, 66, 67, 67, 68, 69, 71, 71, 76, 78, 81, 83)

There are 20 ratings, so the median is the average of the 10th and 11th ratings:

(67 + 67) / 2 = 67

So the median rating is 67.

To find the mode, we look for the value that appears most frequently in the data. In this case, there is no value that appears more than once, so there is no mode.

b. To find the first quartile (Q1), we need to find the value below which 25% of the data falls. There are 20 ratings, so the 25th percentile is the 5th value in the sorted list:

Q1 = 61

To find the third quartile (Q3), we need to find the value below which 75% of the data falls. The 75th percentile is the 15th value in the sorted list:

Q3 = 76

So the first quartile is 61 and the third quartile is 76.

c. To find the 90th percentile, we need to find the value below which 90% of the data falls. There are 20 ratings, so the 90th percentile is the value at the 18th position when the data is sorted:

90th percentile = 81

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Complete question:

Hardshell Jacket Ratings. OutdoorGearLab is an organization that tests outdoor gear used for climbing, camping, mountaineering, and backpacking. Suppose that the following data show the ratings of hardshell jackets based on the breathability, durability, versatility, features, mobility, and weight of each jacket. The ratings range from 0 (lowest) to 100 (highest). Values are given as:

42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53

a. Compute the mean, median, and mode.

b. Compute the first and third quartiles.

c. Compute and interpret the 90th percentile.

Answer:

Of course! I LOVEEEE math so much that I pull my hair every time I do it...but I do get a high grade on it almost always. So cheer up and just do math because they will come in handy in the future!!

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

Step-by-step explanation:

the closest profit you will get is 115$ by adding 54 to 61 (A + E)

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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The equation of a line perpendicular to the line \(m\) is  \(y=-\frac{3}{2}x+5\)

Slope of two perpendicular lines

Two perpendicular lines' slopes are negative reciprocals of each other.

For example, if a line is perpendicular to a line that has a slope \(m\), then the slope of the line is \(-\frac{1}{m}\).

The equation for the line  \(m\) is \(y=-\frac{2}{3}x+5\)

The slope of a line \(m\) is \(-\frac{2}{3}\)

The slope of a line that is perpendicular to the line m is \(-\frac{1}{\frac{2}{3} }\)

That is \(-\frac{3}{2}\)

Thus, the equation of a line perpendicular to the given line is  \(y=-\frac{3}{2}x+5\)

Hence, option (C) is correct.

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To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream\(=\dfrac{60}{3}=20\ mph\)

The rate while moving upstream \(=\dfrac{60}{5}=12\ mph\)

The rate of the boat in still water is the average of these:

\(v_s=\dfrac{20+12}{2}=16\ mph\)

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

C  

Step-by-step explanation:

because if u add them together you get the answer

Answer:

The third one is correct

Step-by-step explanation:

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

Translation

Step-by-step explanation:

Translation

The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer: 23

Step-by-step explanation:124 +33 =157

180-157= 23