Find the exact length of the third side

Answer:

x² - 9x + 14 = (x - 2)(x - 7)

The correct answer is D.

To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.

To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.

The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.

Answer:

The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.

Step-by-step explanation:

Given the information of the cone:

=> the volume of the cone

= 1/3π[tex]r^{2} *h[/tex]

= 1/3*3.14*[tex]5^{2} *12[/tex]

= 314 cubic inches

Given the information of the pyramid:

=> the volume of the pyramid:

= 1/3*Bh            (where B is the area of the base)

= 1/3*5*5*12

= 100 cubic inches

The proportion of the volume of the cone to the volume of the pyramid is:

= 314 /100

= 3.14 times bigger.

Hope it will find you well

Answer:

B - 8

Step-by-step explanation:

The answer is 8 because when determining the degree of any polynomial you find the sum of all the exponents that are attached to variables.

Since there's only one variable then you only have to take the number attached to the variable "x" which is 8.

Question:

You flip a fair coin. What is P(tails)?

If necessary, round your answer to 2 decimal places.

Answer:

P(tail) = 0.5

Step-by-step explanation:

Given:

A fair die

Required

P(Tails)

A fair die has 2 sides, the head and the tail; each of the sides have equal probability.

The number of head in a die is 1 and the number of a tail in a die is 2.

Let P(tail) represent the probability of obtaining a tail.

P(tail) is calculated by number of tail divided by number of sides of a die.

Hence, P(tail) = ½

P(tail) = 0.50

"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.

A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.

The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).

Therefore, the probability of getting tails, P(tails), is given by:

[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]

This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.

If I were a college professor taking a survey of how many hours of homework students were assigned and I wanted to organize the data by hour ranges, the visual tool that I would use is C) a frequency table.

A frequency table would be the best visual tool to organize students in hour ranges for a survey of how many hours of homework students were assigned.

A frequency table is a way to organize data into different intervals, or ranges, and count how many data points fall into each interval. In this case, I would create intervals such as 0-1 hour, 1-2 hours, 2-3 hours, and so on, and then count the number of students assigned homework in each interval. This would give me a clear picture of the distribution of homework hours among the students. Therefore the correct answer is C) a frequency table.

Answer:

Answer: 14

Step-by-step explanation:

14

interquartile range = upper quartile - lower quartile

first, order the scores from least to greatest

55, 58, 65, 66, 70, 72, 81

thus, UQ = 72 and LQ = 58

IQR = UQ - LQ = 72 - 58 = 14

Answer:

In the picture attached, the function f(x) = -x² + 4x - 3 is shown.

Based on the graph of the function, the following statements are true:

Answer:

1460 pens

Step-by-step explanation:

The area of the garden 16√3 ft².

Given: garden base = 8 ft

Find:

Garden surface area =?

First, we must determine the height of the triangle.

82 42 = Height

Height = 64 - 16

Height = 48 cm

43 inches in height

Calculating the garden's area

Garden area = half of bxh

Garden surface area = 1/2 8 43

Garden surface area = 16v/3 ft2

For such more question on area

https://brainly.com/question/30106292

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The question is about the difficulty in satisfying multiple chemical conditions at once, particularly kinetically favorable conditions and thermodynamically stable conditions, which is a complex task often tested in advanced placement chemistry exams.

The question pertains to the challenges associated with satisfying multiple conditions simultaneously in the context of a Chemistry Advanced Placement (AP) Examination. Students often find it difficult to address complex problems where multiple variables must be considered and optimized at the same time. In chemistry, achieving this can involve understanding and balancing various principles such as reaction rates, equilibrium positions, and thermodynamic stability.

In reference to the AP Chemistry exam, students might come across questions that require not just recall of facts or formulas but also the application of these in dynamic scenarios. For instance, satisfying both the kinetic and thermodynamic requirements in a chemical reaction is often challenging. This is because conditions favorable for kinetics, which may involve higher temperatures to increase reaction rates, might adversely affect the thermodynamics by shifting the equilibrium away from the desired products. On the other hand, conditions that favor thermodynamic stability might result in slower reaction rates. Therefore, finding a balance where both kinetics and thermodynamics conditions are optimized is a complex task and is a concept featured in advanced placement chemistry content.

The examination of such complex issues can involve analyzing various aspects and outcomes of a reaction, predicting how changes in conditions could influence the course of the reaction, and understanding the conceptual underpinnings that govern these processes. It is a clear representation of the depth and detail expected at the college level of chemistry education, particularly AP level studies.

Answer:

Step-by-step explanation:

D.

No, basically because it fails the vertical line test. The correct option is C.

The vertical line test determines whether a relationship between two variables defines a function. If and only if vertical lines intersect the graph at least once, a relation is a function.

The graph fails the vertical line test because vertical lines intersect it at more than one point.

This means that some x-values correspond to multiple y-values, which violates the definition of a function.

In other words, for each x-value, there should be only one y-value, but this is not the case for all x-values. As a result, the graph does not depict a function.

Thus, the correct option is C.

For more details regarding vertical line text, visit:

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Answer:

arc AB = 60°

Step-by-step explanation:

The diameter splits the circle into two semi circles.

in the semicircle above the diameter, you can do 180° - 120° = 60°

so arc AB = 60°

( I'm sorry; I'm not sure how to get the answer in terms of pi. )

we can;t answer question that need a graph without you showing the graph

Answer: [tex]f(g(x))=2x^2+16x+29[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]

f of g of x means "function f, replace x by the value of g of x"

[tex]f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29[/tex]

Answer:

2x^3+8x^2−3x−12

Step-by-step explanation:

Given f(x)=2x^2−3 and g(x)=x+4.

What is (fg)(x)?

2x^3+8x^2−3x−12

Answer:

17

Step-by-step explanation:

$15+$27=$42

$712 divided by $42 is 17 meaning there are 17 kids in the class.

Answer:

answer to q1= True

q2= true

q3= x2y6

q4= y+x+2

q5= y

Answer:

Answer to question 1. True

Answer to question 2. True

Answer to question 3.  2,6

Answer to question 4. I think it is y=x+2

Answer to question 5. I'm pretty sure it is M

I hope this helped if they were wrong I'm sorry.

Final answer:

The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.

Explanation:

The period of a function is the length of the interval over which it repeats.

The function y = 2x is a linear function, not a periodic function, and thus does not have a period.

In contrast, the function y = sin x is a periodic function and has a period of 2π radians.

This means that the sine function repeats its values every 2π radians.

Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.

Answer: 3/5

Step-by-step explanation:

If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5

Answer:

2k

Step-by-step explanation:

- k + 3k

3k - k

2k

Answer:

x= -57

Step-by-step explanation:

7x-63+8x-6

-x-63-7

-x=57

x=-57

Answer:

x = -57

Step-by-step explanation:

Simplify both sides of the equation:

Distribute:

(7)(x) + (7)(-9) = 8x + -6

7x + -63 = 8x -6

7x - 63 = 8x - 6

Subtract 8x from both sides

7x−63−8x=8x−6−8x

−x − 63 = −6

Add 63 to both sides

−x − 63 + 63 = −6 + 63

-x = 57

Divide both sides by -1

-x / -1 = 57 / -1

Therefore, you get x = -57

Answer:

Just about 5-6-7. In that range

Step-by-step explanation:

you have to count up all the fully shaded in squares. And then what u have to do is try and put together the half of squares and so on while counting them up. It is an esta=mation question- mostly.

Answer:

you make squares around it to find the area

Step-by-step explanation:

hope this helps

sorry been trying to find something to say but i don't have a answer for it  wish i could help

Answer:

28 degrees

Step-by-step explanation:

since DBE is 90 degrees, ABE is 90 degrees as well

given that BEF is 62 degrees

you need to subtract 90 from 62

to get 28 degrees as your answer

Answer:

[tex] \sqrt{74} [/tex]

Step-by-step explanation:

Use the Pythagorean theorem.

[tex] a^2 + b^2 = c^2 [/tex]

We are solving for the hypotenuse, c.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 7^2 [/tex]

[tex] c^2 = 25 + 49 [/tex]

[tex] c^2 = 74 [/tex]

[tex] c = \sqrt{74} [/tex]

Answer: [tex] \sqrt{74} [/tex]

Answer:

interval level of measurement

Step-by-step explanation:

Interval level of measurement is numeric and allows for mathematical operations like mean. It is quantitative and in fixed units, i.e changes in values are as a result of a phenomenon. It does not have a zero point i.e a value of zero does not mean what you are measuring is absent, for example a temperature of 0°C do not mean there is no heat applied. It specifies the distance between intervals.

Answer:

The whole brownie is 3/3

Step-by-step explanation:

She cut it into 3 equal pieces out of the whole brownie so it would be 3/3