if V = {a,e,i,o,u} then find the n(V)​

Steps to solve:

2/3m = 1/2

~Multiply 3/2 to both sides

m = 3/4

Best of Luck!

(i) cosФ = 4/7 and sinФ is negative → It lies in the 4th quadrant 304.8° and the suitable graph is not provided here.

(ii) secФ = -13/5 and tanФ is negative  → It lies in the IInd quadrant 112.6° and the suitable graph is J.

(iii) sinФ = 7/10 and cotФ is positive  → It lies in Ist quadrant =44.4° and the suitable graph is I.

(iv) tan0 = 3/4 and sin0 is negative  → It lies in the IIIrd quadrant 216.9° and the suitable graph is not provided here.

What is quadrant?

(i) cosФ = 4/7 and sinФ is negative

Ф=cos^(-1)(4/7)= 55.2°

It lies in 4th quadrant (360-55.2)°=304.8°

A suitable graph is not provided here.

(ii) secФ = -13/5 and tanФ is negative.

Ф=sec^(-1)(-13/5)=67.4°

It lies in IInd quadrant (180-67.4°)=112.6°

A suitable graph is J.

(iii) sinФ = 7/10 and cotФ is positive.

Ф=sin^(-1)(7/10)=44.4°

It lies in Ist quadrant =44.4°

A suitable graph is I.

(iv) tan0 = 3/4 and sin0 is negative.

Ф=tan^(-1)(3/4)=36.9°

It lies in IIIrd quadrant (180+36.9)=216.9°

A suitable graph is not provided here.

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Step-by-step explanation:

well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.

the total area is simply the sum of the rectangle and the 2 triangles.

the rectangle is

20×6 = 120 m²

each triangle is

4×3/2 = 2×3 = 6 m²

we have 2 of them, so their combined area is 2×6 = 12 m².

the total area is

120 + 12 = 132 m²

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

The number of student like at least one kind of ice cream is given by (d) 275.

Let C be the student who like chocolate ice cream and P be the student who like Pistachio ice cream.

Now given that, n(C) = 145, n(P) = 150

Also given that, 123 students do not like neither chocolate or pistachio ice cream.

So, n(P' and C') = 123

The required number of student like at least one kind of ice cream is given by,

N = 398 - n(P' and C') = 398-123 = 275

Hence the correct option is (d).

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The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

Answer:

\(768\pi = 1024\pi - 16\pi r^2\)

\(r = 4\)

Step-by-step explanation:

See attachment for complete question

Given

\(v = 1.024\pi - 16\pi r^2\)

Required

Determine the equation and solution when v = 768

\(v = 1024\pi - 16\pi r^2\)

Substitute \(768\pi\) for v

\(768\pi = 1024\pi - 16\pi r^2\)

The above expression represents the equation

Solving further:

\(768\pi = 1024\pi - 16\pi r^2\)

Collect like terms

\(16\pi r^2 = 1024\pi - 768\pi\)

\(16\pi r^2 = 256\pi\)

Divide both sides by \(16\pi\)

\(r^2 = \frac{256\pi}{16\pi}\)

\(r^2 = \frac{256}{16}\)

\(r^2 = 16\)

Take square roots of both sides

\(r = \sqrt{16\)

\(r = 4\)

Given statement solution is :-Time cannot be negative in this context, we discard the solution t = -1,  the book will hit the ground after approximately 2.5 seconds.

To find the time when the book hits the ground, we need to determine when the height (h) becomes zero. We can set up the equation and solve for t.

The equation given is:

h = -\(16t^2 + 24t + 40\)

Setting h = 0, we have:

0 = \(-16t^2 + 24t + 40\)

Now we can solve this quadratic equation. There are a few methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. In this case, we'll use the quadratic formula:

t = \((-b ± √(b^2 - 4ac)) / (2a)\)

For our equation, a = -16, b = 24, and c = 40. Plugging these values into the quadratic formula, we get:

t = \((-24 ± √(24^2 - 4*(-16)40)) / (2(-16))\)

t = \((-24 ± √(576 + 2560)) / (-32)\)

t = (-24 ± √3136) / (-32)

t = (-24 ± 56) / (-32)

Now we have two possible solutions:

t = (-24 + 56) / (-32) = 32 / (-32) = -1

t = (-24 - 56) / (-32) = -80 / (-32) = 2.5

Since time cannot be negative in this context, we discard the solution t = -1. Therefore, the book will hit the ground after approximately 2.5 seconds.

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Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.

Mode [ Choose ]

x  Continuous variable

n  N

σ  σ²

r  q = 1 – p

Mode  Most frequently occurring value in the date set

Left skewed distribution  Data is collected that does not fairly represent the population

Normal distribution  Data is collected by asking a series of questions

A measure of the spread or variability of the data set  Data is collected by watching

Data is collected by imposing a treatment on a sample and examining the results  Data is collected as a result of computer modeling

x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set, a left skewed distribution is data collected that does not fairly represent the population, a normal distribution is data collected by asking a series of questions, a measure of the spread or variability of the data set is data collected by watching the behavior of sample, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling.

x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set. Data collected by asking a series of questions is a normal distribution, data collected by watching the behavior of sample is a measure of the spread or variability of the data set, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.

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Answer: C 28.47° latitude and -7.35° longitude

Step-by-step explanation:

2) The equation of the circle centered at (-5, 7) with a radius of 17 is \((x + 5)^2 + (y - 7)^2\) = 289.

3.  The equation of the ellipse is:

(x - 6)² / 4² + (y - 3)² / 5² = 1 , So, A = 16, B = 25, C = 6, and D = 3.

4. The standard form equation of the circle is: (x + 1)² + (y + 1.5)² = 88.0321

Hence, h = -1, k = -1.5, and r = 9.39.

5. The arithmetic sequence -5, 2, 9, 16, ... can be written in the standard form as: an = 7n - 12

The equation of a circle centered at point (h, k) with a radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-5, 7) and the radius is 17. Plugging these values into the equation, we get:

\((x - (-5))^2 + (y - 7)^2 = 17^2\)

Simplifying further:

\((x + 5)^2 + (y - 7)^2\) = 289

Therefore, the equation of the circle centered at (-5, 7) with a radius of 17 is \((x + 5)^2 + (y - 7)^2\) = 289.

The equation of the ellipse can be determined using the standard form:

(x - h)² / a² + (y - k)² / b² = 1

where (h, k) represents the center of the ellipse, a represents the semi-major axis, and b represents the semi-minor axis.

Given:

Center: (6, 3)

Focus: (2, 3)

Vertex: (1, 3)

To find a, we can use the distance formula between the center and the focus:

a = distance between (6, 3) and (2, 3) = |6 - 2| = 4

To find b, we can use the distance formula between the center and the vertex:

b = distance between (6, 3) and (1, 3) = |6 - 1| = 5

Therefore, the equation of the ellipse is:

(x - 6)² / 4² + (y - 3)² / 5² = 1

Simplifying further:

(x - 6)² / 16 + (y - 3)²/ 25 = 1

So, A = 16, B = 25, C = 6, and D = 3.

To find the standard form equation of a circle with a diameter that has endpoints (-5, -10) and (3, 7), we can first find the center and the radius.

The midpoint of the diameter will give us the center of the circle:

h = (x1 + x2) / 2 = (-5 + 3) / 2 = -2 / 2 = -1

k = (y1 + y2) / 2 = (-10 + 7) / 2 = -3 / 2 = -1.5

The radius can be found using the distance formula between the center and one of the endpoints of the diameter:

r = distance between (-1, -1.5) and (-5, -10) = √((-1 - (-5))² + (-1.5 - (-10))²)

= √(4² + 8.5²) = √(16 + 72.25) = √(88.25) ≈ 9.39

Therefore, the standard form equation of the circle is:

(x - h)² + (y - k)² = r²

Substituting the values we found:

(x - (-1))² + (y - (-1.5))² = (9.39)²

Simplifying further:

(x + 1)² + (y + 1.5)² = 9.39²

So, the standard form equation of the circle is:

(x + 1)² + (y + 1.5)² = 88.0321

Hence, h = -1, k = -1.5, and r = 9.39.

To write the arithmetic sequence -5, 2, 9, 16, ... in the standard form, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, n is the term number, and d is the common difference.

Given:

First term (a1) = -5

Common difference (d) = 2 - (-5) = 7

Using the formula, we can find the nth term:

an = -5 + (n - 1)7

= -5 + 7n - 7

= 7n - 12

So, the arithmetic sequence -5, 2, 9, 16, ... can be written in the standard form as:

an = 7n - 12

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!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

Answer:

90°

Step-by-step explanation:

X=180°-(45°+45°){being square property}

X=180°-90°

X=90°

Therefore , the solution of the given problem of coordinates comes out to be A"B"C"D" is a square whose sides are twice as long as the sides of ABCD.

A parameter can accurately compute position utilising a variety of aspects or coordinates when used in conjunction with specific other algebraic components on this location, such as Euclidean space. When flying in mirrored space, one can find things or places by using coordinates, which look like groupings of numbers. You can use the y and x coordinates to locate an object over a pair of surfaces.

Here,

The square ABCD's image, A"B"C"D," has sides that are twice as long as ABCD's sides because ABCD was dilated from the origin with a scale factor of 2.

Consider a point on ABCD with the coordinates to understand why. (x,y).

The picture A'B'C'D' of this point with a scale factor of 2 will have coordinates (2x,2y), which is twice as far from the origin as the original point. (x,y).

The square A'B'C'D' is then translated three units lower to yield A"B"C"D.

As a result, every point on A'B'C'D' is shifted down three units to match a point on A"B"C"D. Given that A'B'C'D's sides are twice as long as ABCD's.

As a result of first distorting ABCD from the origin with a scale factor of 2, and

then translating the resulting square 3 units down, A"B"C"D" is a square whose sides are twice as long as the sides of ABCD.

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Answer:

Step-by-step explanation:

let a be the first term and r be common ratio.

\(a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645\)

Answer:

There are 875 seats. The stadium got $168,000 from the tickets.

Step-by-step explanation:

So there is more than one question so let's break them down one by one

1). How many seats are there in each section? So the stadium is divided into 12 sections and 8 are VIP boxes so 12 - 8 = 4 so there are 4 non-VIP sections. Now to find out how many seats are in each section we need to divide the number of seats by the number of sections which would be 10,500 ÷ 12 = 875.

2). If all the seats in the premium section are sold out for the game how many will the stadium get from those ticket sales? So first we need to find out how many seats there are in the premium section, we already know that there are 4 premium sections and we also know that there are 875 seats in each section. Multiply the number of sections by the number of seats 4 x 875 = 3,500 now multiply the number of seats by the cost of the seat 3,500 x $48 = $168,000

So the answers are $168,000 and 875 seats

Hope this helped :)

Answer:

i cant see is

Step-by-step explanation:

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Answer:

the answer is 24/5

.....

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

The image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

To find the image of a point (0,4) after a 180° counterclockwise rotation about the origin, we can follow these steps:

Therefore, the image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

By performing a 180° counterclockwise rotation, we essentially mirror the point across the origin, with the y-coordinate changing sign while the x-coordinate remains unchanged.

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Answer:

Step-by-step explanation:

The correct graph of the piece-wise function in this problem is given as follows:

Graph A.

A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.

For this problem the function has two definitions, given as follows:

Hence Graph A is the correct graph, as:

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By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.

First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].

This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.

Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.

This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

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An equation that represents the relationship between two variables can be written in the form of y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

To explain what information each number and variable represent, let's consider the following example:
Suppose we want to represent the relationship between the number of hours studied (x) and the grade obtained in an exam (y). We can write the equation as:
y = mx + b
where:
y: represents the grade obtained in the exam (dependent variable)
x: represents the number of hours studied (independent variable)
m: represents the slope of the line, which tells us how much the grade changes for each unit increase in the number of hours studied. For example, if the slope is 2, it means that for each additional hour studied, the grade increases by 2 points.
b: represents the y-intercept, which is the value of y when x is equal to 0. It tells us the initial value of the grade before any hours of study. For example, if the y-intercept is 60, it means that the student would get a grade of 60 even if they didn't study at all.
Therefore, the equation y = mx + b provides us with important information about the relationship between the two variables, and allows us to make predictions about the grade obtained based on the number of hours studied.

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Answer:

DISRESPECT NICKI MINAJ?????

Step-by-step explanation:

WHAT???? put some respect on queen minaj