Select the correct answer.

What is the range of this function?

A. (-∞, ∞)

B. all real numbers where x ≠ π/2 + nπ

C. all real numbers where x ≠ π + nπ

D. [0, π/2]

Answer:

V'(5, - 6)

Step-by-step explanation:

V(-5, 6)

For a counterclockwise rotation at 180°about the origin ;

The point (a, b) becomes - - - - > (-a, - b)

Therefore,

If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;

V(-5, 6) - - - - > V'(5, - 6)

288 m³ is The Volume Of The Pyramid.

The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given, The base of the pyramid shown has a length of 9m and a width of 8m. The height of the pyramid is 12m.

Since, The Formula for the volume, V , of a pyramid is V = 1/3Bh ,

where B is the area of the base of the pyramid and h is the pyramid's height.

Since, Area of rectangle = Width *height

Thus, Area of the base = 9 * 8

Area of the base = 72 m²

So, the volume of pyramid (V) =  1/3Bh

the volume of pyramid (V) = 1/3 * 72 * 12

the volume of pyramid (V) =  288 m³

therefore, The Volume Of The Pyramid is 288 m³.

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The height of the Empire State Building is approximately 1,454 feet. In order to determine how many pennies would equal this height, we need to know the height of one penny. The thickness of a penny is 1.55 millimeters or 0.061 inches. Therefore, 1 foot is equivalent to 12 inches, which means that there are 196.85 pennies in one foot (12 inches / 0.061 inches).

Now, we need to convert the height of the Empire State Building into millimeters to match the unit of the penny's thickness.

3. Convert Empire State Building's height to millimeters: 443.2 meters * 1,000 mm/m = 443,200 mm

Next, we can calculate how many pennies, when stacked on top of each other, would equal the height of the Empire State Building:

4. Divide the height of the Empire State Building (in millimeters) by the thickness of a penny: 443,200 mm / 1.52 mm/penny ≈ 291,447 pennies

So, it would take approximately 291,447 pennies, if stacked on top of each other, to equal the height of the Empire State Building.

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According to the charts, 50% was the percent increase in Factory 2's monthly production of chairs from 2009 to 2010.

Monthly production is the total amount of goods or services that a company produces within a given month. It is calculated by dividing the total production for a given period of time by the number of months in that period.

This is calculated by taking the difference in the number of chairs produced between 2009 and 2010 that is

(360-240 = 120)

and dividing it by the number of chairs produced in 2009 (240).

120/240

= 0.5

= 50%

Overall, Factory 2's monthly production of chairs increased by 50% from 2009 to 2010.

This means that the number of chairs produced in 2010 was 50% greater than the number of chairs produced in 2009.

Factory 2 increased its monthly production of chairs from 240 in 2009 to 360 in 2010.

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Answer:

The answer is 61.

Step-by-step explanation:

You have to substitute x = -8 into the function :

\(f(x) = {x}^{2} - 3\)

\(let \: x = - 8\)

\(f( - 8) = {( - 8)}^{2} - 3\)

\(f( - 8) = 64 - 3\)

\(f( - 8) = 61\)

Given:

Percentage of numbers unlisted = 40% = 0.40

Sample size, n = 5

Let's find the probability that all 5 of the selected houses have unlisted numbers.

To find the probability, we have:

p(numbers unlisted) = 0.40

Hence, we have:

q = 1 - p = 1 - 0.40 = 0.60

For the probability, apply the binomial probability:

0 .

Solving further:

Therefore, the probability that all 5 numbers have unlisted numbers is 0.01024

• ANSWER:

0.01024

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Answer:

------------------

Volume formula for rectangular prism:

Given two dimensions and volume. Substitute them into formula and find the height:

The height is 1.6 cm.

Answer:

1.6 cm

Step-by-step explanation:

We know that the formula to finds the volume of rectangular prism is:

Volume = Length × width × height

Given that,

l → 5 cm

w → 3 cm

v → 24 cm³

Let us find it now.

Volume = Length × width × height

24 = 5 × 3 × h

24 = 15h

Divide both sides by 15.

1.6 cm = height

Answer:

-2r+8

Step-by-step explanation:

Answer:

X/11 +3 = 15

Step-by-step explanation: Just work backwards if you need to solve for x. 15-3 is 12. 12 times 11 is 132.

Answer:

60>x>25

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf t = 0.6}\)

Step-by-step explanation:

\(\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}\)

Hope this helped!

To find the x-coordinate of the point where the line l intersects the plane x - 3y - z = 9, we need to find the value of x when the coordinates (x, y, z) satisfy both the equation of the line and the equation of the plane.

Since the line l is parallel to the line with vector equation r(t) = 〈2, 4, 1〉 + t〈2, 3, -2〉, we can write the equation of line l as:

x = 2 + 2t

y = 4 + 3t

z = 1 - 2t

Substituting these equations into the plane equation x - 3y - z = 9, we have:

(2 + 2t) - 3(4 + 3t) - (1 - 2t) = 9

Simplifying the equation, we solve for t:

2 + 2t - 12 - 9t - 1 + 2t = 9

-5t - 11 = 9

-5t = 20

t = -4

Substituting t = -4 into the equation x = 2 + 2t, we find:

x = 2 + 2(-4) = -6

Therefore, the x-coordinate of the point where the line l intersects the plane is -6.

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Answer:

2160

Step-by-step explanation:

6X3=18 so 120X18=2160

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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The total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.

Madelyn is creating a media center.

There are 7 televisions and 7 sets of speakers to choose from. For the DVD player, Madelyn has 2 options.

We are supposed to determine how many different entertainment centers Madelyn can make.

Therefore, we need to use the multiplication principle of counting.

According to the multiplication principle of counting, if an event can occur in m ways and a second event can occur in n ways, then the two events can occur in m x n ways.

Let's use the multiplication principle of counting to solve this problem.

The number of ways Madelyn can choose a TV is 7.

The number of ways Madelyn can choose a set of speakers is 7.

The number of ways Madelyn can choose a DVD player is 2.

Therefore, the total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.

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*see attachment for the diagrambifbthe mapping

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.

From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.

These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}

Answer:

113

Step-by-step explanation:

113 is its distance from zero on the number line

Answer:

113

Step-by-step explanation:

I hope this helps!

Answer:

1274

it is 1274

Step-by-step explanation:

mark as brainlest for the answer thankyou

Answer:

The answer is 1 9/19

Step-by-step explanation:

Answer:

a = 15

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of Δ ABC)² = (part of hypotenuse below it) × (whole hypotenuse)

BC² = BK × BA

a² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

a = \(\sqrt{225}\) = 15

Answer:

convert the mixed numbers to improper fractions, and then LCD and combine.

Step-by-step explanation:

exact form: -37/4

deciamal form: -9.25

mixed number forms: -9 1/4

The probability that the first card will be red and the second card will be blue is 4% .

Given: five different colored cards  (red, blue, green, yellow, and black)

First, for any of the five cards being drawn, there is a 1/5 chance, or 20%. So, the probability of a red card being drawn is 1/5. Then, since the card is replaced, it becomes a 1/5, or 20%, chance of any card being drawn (besides red). So, the probability of a blue card being drawn is 1/5.

So , according to the question is asking,

the probability that the first card will be red and the second card will be blue = 1/5 x 1/5 = 1/25

1/25 = 4%

Hence , the probability that the first card will be red and the second card will be blue is 4% .

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Answer:

Step-by-step explanation:

the probability is 4%.

When x is a uniformly distributed random variable on [0,1], it divides the interval [0,1] into two subintervals: [0,x] and [x,1]. This division exhibits symmetry, as explained in the following paragraphs.

Consider a uniformly distributed random variable x on the interval [0,1]. The probability density function of x is constant within this interval. When x takes a particular value, it acts as a dividing point that splits [0,1] into two subintervals.

The first subinterval, [0,x], represents all the values less than or equal to x. Since x is randomly distributed, any value within [0,1] is equally likely to be chosen. Therefore, the probability of x falling within the subinterval [0,x] is equal to the length of [0,x] divided by the length of [0,1]. This probability is simply x.

By symmetry, the second subinterval, [x,1], represents all the values greater than x. The probability of x falling within the subinterval [x,1] can be calculated as the length of [x,1] divided by the length of [0,1], which is equal to 1 - x.

The symmetry arises because the probability of x falling within [0,x] is the same as the probability of x falling within [x,1]. This symmetry is a consequence of the uniform distribution of x on the interval [0,1].

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The mathematical expression for "63 less than twice Julie's height"

is 2j - 63

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

63 less than twice Julie's height.

let the height of Julie be j.

Then, the mathematical expression for

"63 less than twice Julie's height"

= 2j - 63

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The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8