PLEASE HELP!!!

Using your knowledge of complementary, supplementary vertical, and adjacent angles, identify the pairs of angles named in each figure. For example, in Figure #1 you are to identify the supplementary angles, which are:

>AFC and >CFB


>AFD and >DFB


>CFB and >BFD


>BFD and >DFA


>DFA and >AFC


identify all of the vertical pairs of angles,

identify all of the complementary pairs of angles,

identify all of the vertical pairs of angles,

The rational function for the graph is defined as follows:

y = -8(x - 3)/(x² - x - 12)

A rational function is a function in which the variable x appears in both the numerator and the denominator of the function.

The function in this problem has a zero at x = 3, hence the numerator is given as follows:

a(x - 3).

In which a is the leading coefficient.

The function has vertical asymptotes at x = -3 and x = 4, hence the denominator is given as follows:

(x + 3)(x - 4) = x² - x - 12.

Hence the function is defined as follows:

y = a(x - 3)/(x² - x - 12)

When x = 0, y = -2, hence the leading coefficient a is obtained as follows:

-2 = 3a/12

3a = -24

a = -8.

Hence the function is defined as follows:

y = -8(x - 3)/(x² - x - 12)

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As per measurement, 30 inches is equivalent to 2.5 feet.

Measurement is an essential aspect of our daily life, and it helps us to quantify things precisely. The measuring units are used to determine the size, weight, or any physical quantity of an object. It is essential to know the conversions between the measuring units to make the necessary calculations accurately.

In this context, let's discuss the conversion of inches to feet.

Inches and feet are two common units of measurement used for length or distance. Inches are the smaller unit, and feet are the larger unit. One foot is equivalent to 12 inches. Therefore, to convert inches to feet, we divide the given number of inches by 12.

Let's consider we need to convert 30 inches to feet.

30 inches / 12 inches per foot = 2.5 feet

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The required conversion of 10 miles per hour to kilometers per hour is given by 16.0934 kilometers per hour.

Conversion of miles to kilometer is :

One miles is equal to 1.60934 kilometers

Now substitute the required value we get,

10 miles = ( 10 ) × ( 1.60934 ) kilometers

⇒ 10 miles = ( 10 × 1.60934 ) kilometers

⇒ 10 miles = 16.0934 kilometers

Required conversion is :

10 miles per hour = 16.0934 kilometers per hour

Therefore, converted value of 10 miles per hour is equal to 16.0934 kilometers per hour .

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The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.

Ans x/2 = 22/4

A word problem is a few sentences describing a "real-life" scenario where a problem needs to be solved using math.

To answer the question above, we equate the amount of cake mix initially to the amount of water needed to make a mug cake

4  tablespoons of cake mix = 2 tablespoons of water

we then equate the amount of cake mix in the final moment to the amount of water needed to make a mug cake

22  tablespoons of cake mix = X tablespoons of water

Now we divide both and these will give us the answer.

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Answer:

a) r = 2

b)
GP a₆ = 384

AP a₆ = 32

Step-by-step explanation:

First term a₁ = 12 for both progressions

r = common ratio, d = common difference

nth term of geometric progression = a₁ x rⁿ⁻¹
nth term of arithmetic progression = a₁ + (n - 1)d

Second term of GP = Fourth term of AP

=> 12r¹ = 12 + 3d

==> 12r = 12+ 3d  (1)

Third term of GP = 10th term of AP

=> 12r² = 12 + 9d (2)

3 x (1) => 3(12r = 12 + 3d) => 36r  = 36 +  9d (3)

(2) - (3) gives12r² -36r = 12 - 36
12r² - 36r = 12 + 9d - (36 + 9d)

12r² -36r = -24

12r² -36r + 24 = 0

Dividing by 12 gives
r² - 3r + 2= 0

We can factor r² - 3r + 2 as (r - 1)(r-2)

r² - 3r + 2= 0
=>  (r - 1)(r-2) = 0

=> r = 1 or r = 2

r cannot be 1 since all terms of the GP will be equal with a common ratio of 1

Therefore r = 2  (Part a)

Using equation (1) we get:
12r = 12+ 3d
12 x 2 = 12 + 3d

24 = 12 + 3d

3d = 24 - 12 = 12

d = 12/3 = 4

So the common ratio, r,  is 2. Common difference d = 4

6th term of GP =12 x r⁵ =  12 x 2⁵ = 12 x 32 = 384

6th term of Ap = 12 + 5d = 12 + 5(4) = 12 + 20 = 32

David has drawn a total of 177 cm of lines.

We can use the Pythagorean theorem, which tells us that in a right triangle, the square of the length of the hypotenuse (the diagonal line) is equal to the sum of the squares of the lengths of the other two sides (the lines along the long edge and the width).

In this case, the length of the hypotenuse is the distance from the starting corner to the end of the diagonal line, which we can calculate as follows:

d = √(77² + 36²) ≈ 85.99 cm

Therefore, David has drawn a total of 77 cm + 36 cm + 85.99 cm = 198.99 cm of lines. However, we should subtract the length of the starting corner to the end of the first line, which is 77 cm, since it was counted twice (once as part of the diagonal line and once as part of the line along the long edge).

So, the total length of lines that David has drawn is 77 cm + 36 cm + 85.99 cm - 77 cm = 177 cm.

Pythagoras' theorem is a fundamental theorem in mathematics that relates to the sides of a right triangle. It states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

Pythagoras' theorem can be used to solve a variety of problems involving right triangles, such as finding the length of a missing side or determining whether a triangle is a right triangle. It is also the basis for the distance formula in two and three-dimensional Euclidean space.

Pythagoras' theorem has applications in many fields, including physics, engineering, and computer graphics, and it is one of the most important and widely used theorems in mathematics.

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Work Shown:

-7/2 = -3.5

The two given points are (-2,-3.5) and (4,-4)

Let's use the slope formula.

[tex](x_1,y_1) = (-2,-3.5) \text{ and } (x_2,y_2) = (4,-4)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-4 - (-3.5)}{4 - (-2)}\\\\m = \frac{-4 + 3.5}{4 + 2}\\\\m = \frac{-0.5}{6}\\\\m = \frac{-1/2}{6}\\\\m = \frac{-1/2}{6/1}\\\\m = \frac{-1}{2}\div\frac{6}{1}\\\\m = \frac{-1}{2}*\frac{1}{6}\\\\m = -\frac{1}{12}[/tex]

The slope is -1/12

It means "go down 1 unit, then go to the right 12 units".

You can use a tool like GeoGebra to confirm the answer is correct.

60 INCH TV MATE 60

the answer is 60 inch its a trick question just find out the inches there trying to trick you its 60 inch mate enjoy <3 Mark me brainliest

Answer:

1. Tv Length: 12 in

2. Tv Width: 5 in

3. Sorry I don't understand 3

4. I have a 60-inch Tv.

Hope this helps!

I

Answer:

False, it took her 2 hours and 24 minutes

Step-by-step explanation:

The equation 12h = 5 is not correct because it would mean that Helen completed her run in 5 hours, which is not possible since she only ran 12 miles.

To find the correct number of hours, we can use the formula:

Distance = rate x time

Where distance is the total distance Helen ran (12 miles), rate is her speed (5 miles per hour), and time is the number of hours it took her to run.

We can rearrange the formula to solve for time:

Time = distance / rate

Plugging in the values we have:

Time = 12 miles / 5 miles per hour

Simplifying, we get:

Time = 2.4 hours

Therefore, it took Helen 2.4 hours (or 2 hours and 24 minutes) to complete her run.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Answer:

The period of a spring-mass system is the time it takes for the weight to complete one full cycle of motion (i.e., go up and down once).

In this problem, we are told that the weight goes up and down 60 times in 90 seconds. Therefore, the time it takes for the weight to complete one cycle of motion is:

90 seconds / 60 cycles = 1.5 seconds/cycle

To find the period of the motion in minutes, we need to convert the time per cycle from seconds to minutes:

1.5 seconds/cycle * 1 minute/60 seconds = 0.025 minutes/cycle

Therefore, the period of the motion is 0.025 minutes/cycle or 25 milliseconds/cycle. In this case, it is 1/40 minutes.

Answer: i think B.1/40 minutes

Step-by-step explanation: hope this helps0^0

Step-by-step explanation:

36 because since theres 36 people each person gets one for each

Answer:

Step-by-step explanation:

The function to represent the population of bacteria after t days can be written as:

P(t) = P0 * (1 + r)^t

where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.

Substituting the values, we get:

P(t) = 7500 * (1 + 0.14)^t

Simplifying, we get:

P(t) = 7500 * 1.14^t

To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:

h = (1 + r)^(1/24) - 1

Substituting the value of r, we get:

h = (1 + 0.14)^(1/24) - 1

= 0.005521

So, the percentage rate of change per hour is:

h * 100% = 0.5521%

Rounding to the nearest hundredth of a percent, we get:

h * 100% ≈ 0.55%

In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

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The question is, "Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked."

The graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked are:

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To find the weight of a baby at age 5 months, we can substitute x=5 in the given function:

f(5) = 1.5(5) + 7

f(5) = 7.5 + 7

f(5) = 14.5

Therefore, the weight of a baby at age 5 months is 14.5 pounds. Answer: D.

Answer:  $29830

Step-by-step explanation:

Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.

Answer: 1st 133

Step-by-step explanation: Hope this helps!

The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.

Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.

This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.

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The correct answer is C, 3

Answer:

x² + y² = z²

Step-by-step explanation:

The side of the bottom square is y.

The side of the left square is x.

The side of the right square is z.

These sides are also the legs and hypotenuse of the right triangle.

We use the Pythagorean Theorem.

x² + y² = z²

The number 19 have only two factors. They are 1 and 19. So it is a prime number. The statement is true.

Prime numbers are the numbers having only two factors, 1 and the number itself. There are some conditions that should be satisfied if they are counted as prime numbers.

It must be greater than 1.

It must be a natural number, not a decimal fraction or negative number.

It must have only two factors.

It must not be a product of any two numbers other than 1 and the number.

So a number which is not divisible by any other number than 1, can be called a prime number. All other numbers are composite numbers.

So 19 is not divisible by any other numbers. So it is a prime number.

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The conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 72 kilograms to pounds,

You can use the following formula:

1 kilogram = 2.20462 pounds

Multiplying both sides by 72,

We get:

72 kilograms = 72 x 2.20462 pounds

Simplifying the calculation,

We get:

72 kilograms = 158.73264 pounds

Therefore,  the conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).

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When computing the correlation​ coefficient, the effect of changing the order of the variables on​ r is option (A) It has no effect on r

The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

Changing the order of the variables has no effect on the correlation coefficient, It has no effect on r.

This is because the correlation coefficient measures the degree of association between two variables, regardless of which variable is designated as the dependent variable or independent variable. The formula for the correlation coefficient is symmetrical, meaning that it yields the same result regardless of the order in which the variables are entered into the formula.

Therefore, the correct option is (A)  It has no effect on r

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Department of Education is usually determined by the sales tax rate and the amount of the purchase.

The main sources of funding for the Department of Education come from income taxes and sales taxes.

The amount of income taxes collected by the Department of Education is usually determined by the tax code and the amount of income earned.

In addition to income taxes and sales taxes, the Department of Education also collects taxes from other sources. These include inheritance taxes, property taxes, and excise taxes. Inheritance taxes are taxes collected on the transfer of property from one person to another upon death.

Property taxes are taxes collected on the value of real estate, such as land and buildings. Excise taxes are taxes collected on the purchase of certain items, such as cigarettes and alcohol.

By understanding how taxes work, you can locate the Department of Education funding in your tax breakdown.

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The inequality that represents the value of x is x ≥ -10.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

y ≤ -6 (x - 18) - 2

Substitute y = 46

So,

46 ≤ - 6 (x - 18) - 2

46 ≤ - 6x + 108 - 2

46 ≤ 6x + 106

46 - 106 ≤ 6x

-60 ≤ 6x

-10 ≤ x

Thus,

The inequality of x is x ≥ -10.

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Unearned income may vary depending on investment performance, interest rates, and changes in government policies.

Income is the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms.

In 10 years, an individual's earned and unearned income may vary greatly depending on their career and investment choices, economic conditions, and personal circumstances.

Some individuals may see increases in earned income as they gain more experience or take on higher-paying positions, while others may see fluctuations or decreases in earned income due to changes in the job market.

Similarly, unearned income may vary depending on investment performance, interest rates, and changes in government policies.

Hence, unearned income may vary depending on investment performance, interest rates, and changes in government policies.

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Answer: 131.39

Step-by-step explanation:

the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option: (B) 14+72

How to do and what is expression equivalent?

Simplifying the expression by combining like terms, we get:

7k + 13 - 4k + 10 + 5k - 6

= (7k - 4k + 5k) + (13 + 10 - 6)

= 8k + 17

Therefore, the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option would be : (B)

Two expressions are equivalent if they represent the same mathematical value for all possible values of the variables. In other words, if you substitute any value for the variables in both expressions, the resulting values will be the same.

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The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.

(a).

The mean number of moths =  60 traps

Now, the properties of normal distribution and central limit theorem are used.

mean of the individual moth counts = 0.5.

The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = (0.7 / [tex]\sqrt{60}[/tex])

standard deviation = 0.0905

the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.

(b) .

By using the central limit theorem

The average number of moths in 60 traps = 0.4

The z-score formula is to be calculated by using:

Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60))

Z = -1.94

The probability of a Z-score greater than -1.94 is approximately 0.9738.

Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.

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Another name for a regression line is Least squares line

Answer:Best-Fit-Line

Step-by-step explanation:

--Or line of best fit

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