An athlete is throwing a javelin on an open field, and the image below shows the path, or arc of the javelin's
path, on its journey from his hand to the ground. The path is measured in feet. This example is modeled
by a quadratic function. What are the domain and range of the function, and what do they represent?

Answer:

27

Step-by-step explanation:

the measure of R is arctan(2/4) which is 27 degrees

Step-by-step explanation:

Sum of angles in a triangle = 180°.

Question 3:

We have 90° + 61° + (14x + 1)° = 180°.

=> 14x° + 152° = 180°

=> 14x° = 28°

=> x = 2.

Question 4:

We have 70° + 55° + (4x + 3)° = 180°.

=> 4x° + 128° = 180°

=> 4x° = 52°

=> x = 13.

Answer:

\((14x + 1) + 90 + 61 = 180 \\ 14x + 152 = 180 \\ 14x = 28 \\ \boxed{x = 2}\)

\((4x + 3) + 55 + 70 = 180 \\ 4x + 128 = 180 \\ 4x = 52 \\ \boxed{x = 13}\)

Yes the are simailer because of SSS

The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

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An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Answer:

see explanation

Step-by-step explanation:

A

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 8 ≈ 25.12 in

B

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 94.2 , then

2πr = 94.2 ( divide both sides by 2π )

r = \(\frac{94.2}{2(3.14)}\) = 15 cm

Answer:

\(M = (0,0)\)

Step-by-step explanation:

Given

\((4,-5)\) and \((-4,5)\)

Required

The midpoint (M)

This is calculated as:

\(M = \frac{1}{2}(x_1 + x_2,y_1+y_2)\)

So, we have:

\(M = \frac{1}{2}(4-4,-5+5)\)

\(M = \frac{1}{2}(0,0)\)

\(M = (0,0)\)

Answer:

Yes Jeff is the correct answer

Step-by-step explanation:

The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Now,

Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Hence, The number of hearts = 25% of 500

                                              = 25/100 × 500

                                              = 25 × 5

                                              = 125

And, Number of stars = 500 - 125

                                  = 375

                                  = 75% of 500

Thus, The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

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A scatter plot, because it would show the association, or relationship, between the two variables

From the question, we have the following parameters that can be used in our computation:

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

ur right

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

just take two points on the line

lets say (0, -5) and (4, 0)

take the slope:

(0-(-5))/(4-0) = 5/4

you could also just look at the graph and see that to get from (0, -5) to (4, 0), you move up 5 (rise), and move right 4 (run)

Answer:

The slope is 5/4 or 1 1/4

Step-by-step explanation:

slope: (y2-y1)/(x2-x1)

Points given: (4,0), (0,-5)

(-5-0)/(0-4) = -5/-4 = 1 1/4

Answer:

B. 75.5 square inches

Step-by-step explanation:

Area (pentagon) = Area (rectangle) - Area (triangle)

= length x width - 1/2 x breadth x height

= 10 x 8 - 1/2 x 3 x 3

= 80 - 4.5

= 75.5 square inches

Solution :-

B. 75.5 square inches

Answer:

B) 75.5 in²

Step-by-step explanation:

Area of rectangle = width × length

⇒ area of rectangle = 8 × 10 = 80 in²

Area of triangle = 1/2 × base × height

⇒ area of triangle = 1/2 × 3 × 3 = 4.5 in²

Area of pentagon = area of rectangle - area of triangle

                              = 80 - 4.5

                             = 75.5 in²

Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

Answer:

is this like BxH or is there a specific equation

Step-by-step explanation:

The measure of each arc.

arc AE= 103°

arc ACE= 257°

arc GDC= 196°

arc BHC= 305°

arc FD= 79°

arc FBD= 281°

What is meant by measure?

Measure refers to the quantity or size of something, often expressed in numerical terms, such as length, weight, volume, or time. It helps to provide a standard for comparison or evaluation.

What is meant by arc?

An arc is a curved portion of a line or circle that is defined by two endpoints and the points along the curve between them. It is often used in geometry and trigonometry.

According to the given information

Here are the measures of each arc:

arc AE = (17+26+28+32)° = 103°

arc ACE = (66+55+89+47)° = 257°

arc GDC = (28+32+47+89)° = 196°

arc BHC = (66+17+26+28+32+47+89)° = 305°

arc FD = (32+47)° = 79°

arc FBD = (28+26+17+66+55+89)° = 281°

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The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.

Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.

In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.

The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)

m = 4/5

To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:

y = 4/5x + 3

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Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The population of Australia in 2018 was 24.909 million.

Given: The population of Sydney in 2018 = 5.48 million

           This population of Sydney is equal to 22 % of the total population of Australia.

To find: Total population of Australia

Solution:

According to the Question,

Total population of Australia * 22% = total population of Sydney

Total population of Australia * 22/100  = 5.48 million

                                                                = 5.48 million * 100/22

                                                                = 24.909 million (approx.)

Hence, the population of Australia in 2018 was 24.909 million.

The total population of Australia in 2018 was 24.90 million.

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, the population of Sydney was 5.48 million, which was 22% of the total population of Australia.

We need to find the total population of Australia.

Let the total population of Australia be y.

Therefore,

y × 22% = 5.48

y = 5.48 × 100/22

y = 24.90

Hence, the total population of Australia in 2018 was 24.90 million.

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Answer:

One of these

Step-by-step explanation:

(x1+x2)÷2

(_5+8)=3÷2=1.5

(y1+y2)÷2

(9+14)=23÷2=11.5

Answer:

B (1.5, 11.5)

Step-by-step explanation:

By comparing the credit card and debit card we noticed that the uses of debit card are most preferable.

The card that allows a card holder to pay electronically while purchasing.

The debit card is directly connected to card holder's bank account.

The card that allows a card holder to borrow funds within a pre-approved credit limit.  It also helps a card holder to purchase by borrowing money.

The one of the most advantages of debit card compared to a credit card is a debit card has automatic overdraft protection.

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The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

\(f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32\)

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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