What's the domain of this function graph?
Question 12 options:
A)
[0,∞)
B)
[1,∞)
C)
(–∞,∞)
D)
(–∞, 0)

Answer:

\(Area_{kite}=736m^2\)

Step-by-step explanation:

There are a few methods to find the area of this figure:

1. kite area formula

2. 2 triangles (one top, one bottom)

3. 2 triangles (one left, one right)

4. 4 separate right triangles.

Recall the formula for area of a kite:  \(Area_{kite}=\frac{1}{2} d_{1}d_{2}\) where d1 and d2 are the lengths of the diagonals of the kite ("diagonals" are segments that connect non-adjacent vertices -- in a quadrilateral, vertices that are across from each other).

If you've forgotten why that is the formula for the area of a kite, observe the attached diagram: note that the kite (shaded in) is half of the area of the rectangle that surrounds the kite (visualize the 4 smaller rectangles, and observe that the shaded portion is half of each, and thus the area of the kite is half the area of the large rectangle).

The area of a rectangle is \(Area_{rectangle}=bh\), sometimes written as \(Area_{rectangle}=bh\), where w is the width, and h is the height of the rectangle.

In the diagram, notice that the width and height are each just the diagonals of the kite.  So, the Area of the kite is half of the area of that surrounding rectangle ... the rectangle with sides the lengths of the kite's diagonals.Hence, \(Area_{kite}=\frac{1}{2} d_{1}d_{2}\)

For our situation, each of the diagonals is already broken up into two parts from the intersection of the diagonals.  To find the full length of the diagonal, add each part together:

For the horizontal diagonal (which I'll call d1): \(d_{1}=40m+6m=46m\)

For the vertical diagonal (which I'll call d2): \(d_{2}=16m+16m=32m\)

Substituting back into the formula for the area of a kite:

\(Area_{kite}=\frac{1}{2} d_{1}d_{2}\\Area_{kite}=\frac{1}{2} (46m)(32m)\\Area_{kite}=736m^2\)

If one doesn't remember the formula for the area of a kite, and can't remember how to build it, the given shape could be visualized as 2 separate triangles, the given shape could be visualized as 2 separate triangles (one on top; one on bottom).

Visualizing it in this way produces two congruent triangles.  Since the upper and lower triangles are congruent, they have the same area, and thus the area of the kite is double the area of the upper triangle.

Recall the formula for area of a triangle:  \(Area_{triangle}=\frac{1}{2} bh\) where b is the base of a triangle, and h is the height of the triangle (length of a perpendicular line segment between a point on the line containing the base, and the non-colinear vertex).  Since all kites have diagonals that are perpendicular to each other (as already indicated in the diagram), the height is already given (16m).

The base of the upper triangle, is the sum of the two segments that compose it:  \(b=40m+6m=46m\)

Finding the Area of the upper triangle\(Area_{\text{upper }triangle}=\frac{1}{2} (46m)(16m) = 368m^2\)

Finding the Area of the kite

\(Area_{kite}=2*(368m^2)\)

\(Area_{kite}=736m^2\)

The given shape could be visualized as 2 separate triangles (one on the left; one on the right).  Each triangle has its own area, and the sum of both triangle areas is the area of the kite.

Note:  In this visualization, the two triangles are not congruent, so it is not possible to  double one of their areas to find the area of the kite.

The base of the left triangle is the vertical line segment the is the vertical diagonal of the kite.  We'll need to add together the two segments that compose it:  \(b=16m+16m=32m\).  This is also the base of the triangle on the right.

Finding the Area of left and right triangles

\(Area_{\text{left }triangle}=\frac{1}{2} (32m)(40m) = 640m^2\)

The base of the right triangle is the same length as the left triangle: \(Area_{\text{right }triangle}=\frac{1}{2} (32m)(6m) = 96m^2\)

Finding the Area of the kite

\(Area_{kite}=(640m^2)+(96m^2)\)

\(Area_{kite}=736m^2\)

If you don't happen to see those composite triangles from option 2 or 3 when you're working this out on a particular problem, the given shape could be visualized as 4 separate right triangles, and we're still given enough information in this problem to solve it this way.

Calculating the area of the 4 right triangles

\(Area_{\text{upper left }triangle}=\frac{1}{2} (40m)(16m) = 320m^2\)

\(Area_{\text{upper right }triangle}=\frac{1}{2} (6m)(16m) = 48m^2\)

\(Area_{\text{lower left }triangle}=\frac{1}{2} (40m)(16m) = 320m^2\)

\(Area_{\text{lower right }triangle}=\frac{1}{2} (6m)(16m) = 48m^2\)

Calculating the area of the kite

\(Area_{kite}=(320m^2)+(48m^2)+(320m^2)+(48m^2)\)

\(Area_{kite}=736m^2\)

The sampling method described in the question is called "quota sampling."

Quota sampling is a non-probability sampling technique in which researchers select participants based on pre-determined quotas or characteristics, such as age or gender. In this case, the researchers are selecting participants between the ages of 20 and 40.

However, this method may not be representative of the entire population as it does not guarantee that all subgroups within the population have an equal chance of being selected. Therefore, the results may be biased and not accurately reflect the opinions of the entire population.

Therefore, it is important to consider the limitations of quota sampling when interpreting the results

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The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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Answer:

1. 71°

Step-by-step explanation:

SohCahToa

use sin

sin^-1(51/54)

=70.81186355

=71°

Answer:

C. Because (-3)^2 is NOT equal to -9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

√-9 is   3i.

Since there is a negative in the root, you can't have a regular number as the answer.

It askes why -3 is not the answer. Because -3 squared is 9, not -9.  

Answer:

does literally everyone use this to get the answer to their school work  lol

Step-by-step explanation:

Answer: a. ​is always an upper tail test.

Step-by-step explanation:

The chi-square goodness-of-fit test is a test to check whether the sample comes from the population with the expected distribution or not.

If the observed frequency is close to the expected frequency, then the square of the deviations will be small. The square of the deviation is divided by the expected frequency to get the weighted frequencies.

If the sum of these weighted squared deviations is large is then it creates a doubt for the distribution claimed other wise not. Therefore, the chi-square goodness-of-fit test is always a right tail test.

Hence correct option is "a. ​is always an upper tail test. "

Answer:

between 18 and 19

Step-by-step explanation:

150/8= 18.75

Answer:

b. 3ab

Step-by-step explanation:

You can isolate 3a which is a term with a coefficient of 3

The second term would be b

Answer:

75% can be converted into a decimal, any percentage can.

Once converted, 75% is actually .75

At this point you can move the decimal place two place up, and put it over 100, in a fractal form

75/100  

You can then simplify this to

3/4  

You can then use this fraction as a conversion factor with any number, for example if we took the number 8

8∗3/4  

2∗3/1=6

The length of the curve defined by the polar equation r = 8a cos(theta) over the interval [-π/16, π/16] is πa units.

To find the length of the curve defined by the polar equation r = 8a cos(theta) over the interval [-π/16, π/16], we can use the arc length formula for polar curves.

The arc length formula for a polar curve is given by:

L = ∫[a, b] √(r^2 + (dr/dθ)^2) dθ

In this case, we have:

r = 8a cos(theta)

dr/dθ = -8a sin(theta)

Substituting these values into the arc length formula and simplifying, we get:

L = ∫[-π/16, π/16] √(64a^2 cos^2(theta) + 64a^2 sin^2(theta)) dθ

L = ∫[-π/16, π/16] √(64a^2) dθ

L = 8a ∫[-π/16, π/16] dθ

Integrating the constant term, we have:

L = 8a [θ] from -π/16 to π/16

L = 8a (π/16 - (-π/16))

L = 8a (2π/16)

L = 8a (π/8)

L = πa

Therefore, the length of the curve defined by the polar equation r = 8a cos(theta) over the interval [-π/16, π/16] is πa units.

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The equation of the circle graphed here is (x + 3)² + (y - 5)² = 20.

Given a circle.

We have to find the equation of the circle.

Center of the circle = (-3, 5)

A point on the circle is also given as (1, 7).

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

(x, y) is any point on the circle.

Substituting the center and the point of the given circle, we get,

(1 - -3)² + (7 - 5)² = r²

16 + 4 = r²

20 = r²

So the equation of the circle is,

(x - -3)² + (y - 5)² = 20

(x + 3)² + (y - 5)² = 20

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Answer:

28 units

Step-by-step explanation:

Firstly, we can see that the vertical sides are 9 units each.

To get the diagonal sides, we can turn the ends into right triangles, which we can then use with the Pythagorean Theorum.

To make the top side into a triangle, we would draw a horizontal line connecting points (-1, 3) and (3, 3). This creates a right angle which is essential when using the Pythagorean Theorum.

A^2 + B^2 = C^2

We can plug in values for the Pythagorean Theorum because we can see that going across horizontally from point (-1, 3) to (3, 3), there are 4 units in between the two points. This will be our A value. We will do the same but vertically from points (3, 6) to (3, 3). The 3 units between the two points will be our B value. Now, we can plug in our values into the Pythagorean Theorum to find side C, the hypotenuse.

4^2 + 3^2 = C^2

16 + 9 = C^2

25 = C^2

√25 = C

C = 5

Now that we know the diagonal value of the side, we also know the same diagonal value of the bottom side. When you add all four sides together,

9 + 5 + 9 + 5 = 28

you get 28, which is the perimeter of the parallelogram.

v + w and v - w are orthogonal.

To show that v + w and v - w are orthogonal, we need to show that their dot product is zero.

We have:

(v + w) . (v - w) = ||v||^2 - ||w||^2

Now, since ||v|| = ||w||, we can simplify this to:

(v + w) . (v - w) = 0

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Answer:

The domain is all real numbers

The y - intercept is 2

The function is decreasing over its entire domain

In a graph, X and Y are two axes that are used to plot data points.

X represents the independent variable and Y represents the dependent variable. The relationship between the two variables is represented by a mathematical equation which is usually represented by a line on the graph. A graph is a visual representation of data in which points on a plane are used to represent values of a particular variable. X and Y are two variables that are typically used in a graph. X is the independent variable, which is plotted on the horizontal axis. It is the input or cause that affects the output or effect, which is represented by Y. Y is the dependent variable, which is plotted on the vertical axis. It is the output or effect that is caused by the input of the independent variable. The equation usually takes the form of y = mx + b, where m is the slope of the line, x is the independent variable, y is the dependent variable and b is the y-intercept of the line. In order to calculate the equation of the line, you must have at least two points on the graph. You then plug in the two points into the equation to calculate the slope and intercept. Once you have the equation, you can plot all the other points on the graph and draw the line.

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The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Answer:

564.7 cm^3

Step-by-step explanation:

volume of cone =1/3*π*r^2*h

=(1/3)*(22/7)*7^2*11

=564.7 cm^3 (1 d.p.)

With an interest rate of 3% compounded continuously and an initial deposit of $15,000, the amount of money in the account after 20 years would be approximately $27,322.80.

Using the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = the amount of money in the account after the given time period

P = the initial deposit amount

e = the mathematical constant approximately equal to 2.71828

r = the interest rate (expressed as a decimal)

t = the time period (in years)

Let's assume an interest rate of 3% (0.03) compounded continuously and an initial deposit of $15,000. We can calculate the amount of money in the account after 20 years:

A = $15,000 * e^(0.03 * 20)

Using a calculator, we can evaluate the expression:

A ≈ $15,000 * e^(0.6)

A ≈ $15,000 * 1.82212

A ≈ $27,322.80

Therefore, with an interest rate of 3% compounded continuously and an initial deposit of $15,000, the amount of money in the account after 20 years would be approximately $27,322.80.

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30dB are produced by an audio source of 1000 times the value of constant .

Given,

d = 10 log(1/K) where K is a constant and the sound intensity is 1000 times the value of K.

So, we can write I = 1000K

Substituting this value in the equation for d, we get:

d = 10 log(1000k/K)

d = 10 (log 1000)

d = 10 (log 10³)

d = 30 log (10)

∴ \(log_{10} 10 = 1\)

Therefore,

d = 30

So, an audio source whose sound intensity is 1000 times the value of K produces 30 decibels of sound.

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The Equation of a Straigth Line has the form:

where m is the slope and b the intersection with the vertical axis (y-axis).

As we can see based on the graph, b = 0, and m can be calculated as follows:

To use the latter, we have to choose two points from the graph. For example, assuming that each square from the graph represents one unit:

• (0,0)

• (-2,1)

Replacing these coordinates:

Answer:

The distance from the sun to the other focus is 5.01 × 10⁹ m.

(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;

2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.

(b) To express this in terms of solar radii, we set up a ratio;

(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2

Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.

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Complete question is;

The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.

The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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Answer:

The probability that the individual has the disease is 1/500

Step-by-step explanation:

i found the fraction of 1 in 500 which is 1/500, hope this helps :)

Answer:

8 cookies

Step-by-step explanation:

edit one:the answer was 10 cookies, so please go give the person who said 10 cookies first some thanks/brainliest.

edit two:https://brainly.com/app/profile/31525083 is the user who got it first. Check comment if you are gonna say they didn't.

Answer:

8 cookies

Step-by-step explanation:

Well, we can use simple subtraction to answer this problem. You have 10 cookies, and you give away 2, you need to subtract 10 cookies by 2:

10 - 2 = 8

Therefore, you will have 8 cookies left.

Hope this helps :)

The number of hours of practice is 3 x H.

An expression is a statement in mathematics that is made up of at least one numbers or variable. An expression is also made up of at least one mathematical operation. An expression does not have an equal to sign.

In order to determine the expression for the number of hours of practice, multiply the number of hours for one practice by the total number of practice. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

The sign used to denote multiplication is x. Number of hours of practice = hours of practice x number of practice 3 x H

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The expression that shows the number of hours of practice is 3 x H .

In mathematics, an expression is a sentence that is made up of numbers, at least one variable and a mathematical operation that connects either the numbers or the variables together. An expression does not have a equal to sign. An example of an expression is 3a + b.

In order to determine the number of hours of practice, multiply the length of the practice by the number of times she practiced last week. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Number of hours of practice x number of times Debbie practiced last week

3 x H

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Answer:

$9.50

Step-by-step explanation:

Divide 237.50 by 25

Among the 3 cards the probability of picking an odd number and then picking an odd number is 1/3.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The probability of picking a card with odd number is -

Probability = Favourable outcomes / Total outcomes

Substitute the values in the equation -

P(odd1) = Odd number of cards / Total number of cards

P(odd1) = \(\frac{^1C_1}{^3C_1}\)

P(odd1) = 1/3

This is followed by picking up a second card without putting the first card back.

So, out of remaining two cards an odd card needs to be picked.

Probability = Favourable outcomes / Total outcomes

Substitute the values in the equation -

P(odd2) = Remaining odd number of cards / Remaining number of cards

P(odd2) = \(\frac{^0C_1}{^1C_1}\)

P(odd2) = 0/1

P(odd2) = 0

The probability of both the events is -

P(odd1) + P(odd2)

1/3 + 0

1/3

Therefore, the probability value is 1/3.

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Answer:

x=\(\frac{y+1}{7}\)

Step-by-step explanation:

Hi there!

We want to make x the subject of the formula, which means to solve the formula for x

Here is the given formula:

y=7x-1

Our ultimate goal is to isolate x onto one side

Start by subtracting 7x from both sides

y-7x=-1

Subtract y from both sides to remove it from the left side

-7x=-y-1

Divide both sides by 7

x=\(\frac{-y-1}{-7}\)

Simplify (factor -1 out of the numerator and denominator, then cancel it out)

x=\(\frac{-1(y+1)}{(-1)(7)}\)

x=\(\frac{y+1}{7}\)

Hope this helps!

Answer:

x = 1/7(y+1)

or

x = 1/7 y + 1/7

Step-by-step explanation:

y= 7x-1​

Solve for x

Add 1 to each side

y+1 = 7x-1+1

y+1 = 7x

Divide each side by 7

1/7(y+1) = 7x/7

1/7y + 1/7 =x