Angel is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 18 meters from the building. The angle of elevation from his eyes to the roof (point A) is 21°, and the angle of elevation from his eyes to the top of the antenna (point B) is 39°. If his eyes are 1.72 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary.

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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When a researcher uses the Pearson product-moment correlation, two highly correlated variables will appear on a scatter diagram as a tightly clustered group of points that form a linear pattern.

The scatter diagram is a visual representation of the correlation between two variables, where one variable is plotted on the x-axis, and the other variable is plotted on the y-axis. If the two variables have a high positive correlation, then the points on the scatter diagram will form a cluster that slopes upwards to the right.

On the other hand, if the two variables have a high negative correlation, then the points will form a cluster that slopes downwards to the right. The tighter the cluster of points, the higher the correlation between the variables.

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Answer:

a^6b^4

Step-by-step explanation:

Answer:

-a^6b^4c^2

Step-by-step explanation:

Multiplying exponents, all you have to do is add them

Hope this helps!

The rational roots for the equation P(x) = 0 are x = -2, x = 1/3, and x = 2.

To find the rational roots of a polynomial equation, we can use the Rational Root Theorem. According to the theorem, any rational root of the equation P(x) = 0 must be in the form of p/q, where p is a factor of the constant term (in this case, 12) and q is a factor of the leading coefficient (in this case, 3).

By testing the factors of 12 (±1, ±2, ±3, ±4, ±6, ±12) and the factors of 3 (±1, ±3), we find that the rational roots are x = -2, x = 1/3, and x = 2.

Therefore, the rational roots for the given equation P(x) = 0 are x = -2, x = 1/3, and x = 2.

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Answer:

15.866%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 3,282 gallons of kerosene

μ is the population mean = 3,087 gallons of kerosene

σ is the population standard deviation = 195 gallons

For x > 3282 gallons

z = 3282 - 3087/195

z = 1

Probability value from Z-Table:

P(x<3282) = 0.84134

P(x>3282) = 1 - P(x<3282) = 0.15866

Converting to percentage

0.15866 × 100 = 15.866%

The percent of flights on these particular routes that will burn more than 3,282 gallons of kerosene is 15.866%

For the given problem, the area of ∆DEF is (1/9) x.

In the problem, we are given that ∆ABC is similar to ∆DEF with a scale factor of 1:3. This means that the corresponding sides of ∆DEF are three times longer than those of ∆ABC. Since the area of a triangle is proportional to the square of its side length, the area of ∆DEF will be proportional to the square of the scale factor, which is (1/3)^2 = 1/9.
Given that the area of ∆ABC is x, the area of ∆DEF can be found by multiplying the area of ∆ABC by the proportionality constant. Therefore, the area of ∆DEF is (1/9) x.
To summarize, the area of ∆DEF is (1/9) x, where x represents the area of ∆ABC. Thus, option A, (1/3) x, is the correct answer.

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  the complete question is:

       ∆ABC is similar to ∆DEF. The scale factor between ∆ABC and ∆DEF is 1:3. If the area of ∆ABC is x, then find the area of ∆DEF. A.(1/3) x
B. 3x
C. (1/2)(9x)
D. 9x

The other polygon has a 108 \(ft^2\) area.

We are given the area overall (27 \(ft^2\)) and the length of one side (3 ft) for the polygon on the left. With this knowledge, we can calculate the other side's length, which is 9 feet. I calculated this by multiplying 27 \(ft^2\) by 3 ft, which gave me the answer of 9 ft.

We now need to locate the opposite side of the polygon on the right in order to calculate its area. Given that 3 * 2 = 6, it appears as though there is a scale factor of 2 between the two polygons. Knowing that the bottom side of the polygon on the left is nine, we may calculate the bottom side of the polygon on the right by multiplying nine by two. 9 × 2 = 18.

Now that we know the dimensions of the polygon on the right, we can calculate its area.

The other polygon's area is 107 \(ft^2\) since 6*18 = 107.

The complete question is;-

The polygons are similar. The area of one polygon is given find the area of the other.

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The area of the rhombus is 50\(\sqrt{3}\) .

Given:

In a rhombus, all the side lengths are $10,$ and one of the angles is equal to $120^\circ.

If angle = 120 the its half is 60 which forms a right angled triangle.

sin 60 = Height / 10

\(\sqrt{3}\)/2 *10 = height

height = 5\(\sqrt{3}\).

Area of rhombus = base * height

= 10*5\(\sqrt{3}\)

= 50\(\sqrt{3}\) .

Therefore the area of the rhombus is 50\(\sqrt{3}\) .

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Answer:

It is false because the example shown is using conduction as the transfer of heat since it's using direct contact.

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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Answer:

C. 24 12/20

Step-by-step explanation:

4 3/4 × 6 4/5

24 3/4 × 4/5

24 12/20

Answer:

700 kilograms

Step-by-step explanation:

2800 kilograms divvied up among 4 trucks can be:

2800/4

700 kilograms

Answer:

do 28 divided by 4 then add two zeros

Answer:

3)

Step-by-step explanation:

Draw the graph and youll see

Answer:

Exponential growth function

Step-by-step explanation:

It multiplies by 3 each time

2,3-DPG is produced in anaerobic respiration in red blood cells and plays a key role in regulating oxygen transport to tissues with high oxygen demands. Option b is the correct answer.

2,3-DPG, also known as 2,3-diphosphoglycerate, is a small molecule that plays an important role in regulating the oxygen-carrying capacity of red blood cells.

It is produced in red blood cells through the process of anaerobic respiration, which occurs in the absence of oxygen. During anaerobic respiration, glucose is broken down into pyruvate, which is then converted into lactate and ATP. As a byproduct of this process, 2,3-DPG is produced in red blood cells.

The production of 2,3-DPG is a crucial adaptation that allows red blood cells to efficiently transport oxygen to tissues with high oxygen demands, such as the brain and heart.

2,3-DPG binds to hemoglobin, the protein in red blood cells that carries oxygen, and decreases its affinity for oxygen. This allows hemoglobin to release oxygen more easily in tissues with low oxygen levels.

Therefore, the correct option is b.

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Seeing that its a right triangle...

We can use pythagorean theorem.

8^2 + 4^2 = x^2

64 + 16 = x^2

80 = x^2

x = 8.94427191

17

4 1/4's is a whole. 4x4+1

None of these guesses are correct.

Let's work this problem in reverse.

Try it this way.

1/2x-4=5

This is actually quite simple to solve.

Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.

30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.

2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.

4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.

Hope this helped!

None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.

Two or more expressions with an Equal sign is called as Equation.

Given,

When 4 is subtracted from half of a number the result is 5.”

Let the number be x

x/2-4=5

We need to find the value of x

x/2=5+4

x/2=9

x=18

a. Her first guess is 30. Is she correct

No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11

b. Her first guess is 2. Is she correct

No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.

Even 4 1/ 2 is not correct hence 18 is not correct.

Hence, none of her guesses are correct.

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Answer:

51 liters.

Step-by-step explanation:

By proportion  number of litres for 1428 miles

=  17 * 1428/476

= 17 * 3

= 51 liters.

Answer:

21 ÷ -10x

Step-by-step explanation:

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

If a typical game scores 94 points, with 18 wins and 8 losses, the boy's high school basketball team scored a total number of 1,692 points this season.

The total scores of the boy's high school basketball team for this season can be determined by multiplication.

Multiplication operation involves the multiplicand, the multiplier, and the product.

The total number of wins for the season = 18

The total number of losses for the season = 8

Average point per game = 94 points

The total number of points = 1,692 (94 x 18)

Thus, we can conclude that the team garnered 1,692 points.

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Answer:

  10 pounds

Step-by-step explanation:

You want to know the number of pounds of peanuts in a mix of $5/lb peanuts and $6/lb almonds that gives 14 pounds of nuts for $74.

Let p represent the number of pounds of peanuts in the mix. The (14-p) is weight of almonds, and the total cost is ...

  5p +6(14 -p) = 74

Simplifying the equation gives ...

  -p +84 = 74

  10 = p . . . . . . . . add p-74

You should buy 10 pounds of peanuts to make the 14 lb bag cost $74.

__

Additional comment

You notice that simplifying the equation gives p a negative coefficient. If you choose the variable to represent the more expensive contributor, then the coefficient of that comes out positive. (We like positive coefficients, as they tend to reduce errors.)

Here, the problem is requesting the amount of the lower cost contributor, so we used the variable to represent that.

Often, you are asked to solve mixture problems using a system of equations. Those would use a variable for each of the quantities, and the equations would be ...

You notice that substituting for 'a' gives the equation we used above.

Jumping directly to this step saves a bit of written work, though the mental work is the same.

To convert microseconds to seconds in the programming language C, you can use a simple mathematical expression.

#include <stdio.h>

int main() {

   int microseconds = 1000000;

   double seconds = (double)microseconds / 1000000.0;

   printf("%d microseconds is equivalent to %f seconds\n", microseconds, seconds);

   return 0;

}

A microsecond is a unit of time equal to one millionth of a second, while a second is a unit of time equal to the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.

To convert microseconds to seconds in the programming language C, you can use a simple mathematical expression.

A microsecond is a unit of time equal to one millionth of a second, while a second is a unit of time equal to the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.

To convert microseconds to seconds in C, you can simply divide the number of microseconds by one million (1,000,000). This can be done using the following code:

c

Copy code

#include <stdio.h>

int main() {

   int microseconds = 1000000;

   double seconds = (double)microseconds / 1000000.0;

   printf("%d microseconds is equivalent to %f seconds\n", microseconds, seconds);

   return 0;

}

In this example, the value of microseconds is set to 1000000, which represents one million microseconds. This value is then divided by one million using the expression (double)microseconds / 1000000.0, which gives the equivalent value in seconds. The result is then displayed using the printf function.

It is important to use the double data type when converting microseconds to seconds, as this data type allows for decimal values, which are necessary for representing fractional units of time.

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Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

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The radius of convergence for the Taylor series of g(x) is 4.

To find the radius of convergence for the Taylor series of f(x) = ∑(n=1 to ∞) xn, we can use the ratio test.

The ratio test states that for a power series ∑(n=0 to ∞) an(x-c)n, the series converges if the following limit exists and is less than 1:

lim(n→∞) |an+1(x-c)/(an(x-c))|

For the series f(x) = ∑(n=1 to ∞) xn, we have an = 1 for all n.

Applying the ratio test to f(x), we have:

lim(n→∞) |(x(n+1))/(xn)|

= lim(n→∞) |x(n+1)/xn|

= |x|

For the series to converge, |x| < 1. Therefore, the radius of convergence for the Taylor series of f is 1.

Now, let's consider the function g(x) = x^3 * f(x^2/16). Since f(x) has a radius of convergence of 1, we need to determine the radius of convergence for g(x) based on f(x^2/16).

To find the radius of convergence for g(x), we substitute x^2/16 into the ratio test:

lim(n→∞) |[(x^2/16)^(n+1)] / [(x^2/16)^n]|

= lim(n→∞) |(x^2/16)|

= |x^2/16|

For g(x) to converge, |x^2/16| < 1. Simplifying the inequality, we have |x| < 4.

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At an 8 percent discount rate, the present value of the cash flows is approximately $1,722,536.39. At a 16 percent discount rate, the present value is approximately $1,072,736.15.

To calculate the present value of the stream of cash flows, we need to discount each cash flow to its present value using the appropriate discount rate.
At an 8 percent discount rate:
The first payment of $150,000 is made immediately and does not need to be discounted. Its present value is $150,000.
For the remaining 19 payments of $150,000 each, we can use the formula for the present value of an ordinary annuity:

PV = PMT * [1 - (1 + r)^(-n)] / r
Where:

PV = Present value
PMT = Payment amount per period ($150,000)
r = Discount rate per period (8% or 0.08)
n = Number of periods (19)

Using this formula:
PV = $150,000 * [1 - (1 + 0.08)^(-19)] / 0.08
PV ≈ $1,722,536.39
Therefore, the present value of the cash flows at an 8 percent discount rate is approximately $1,722,536.39.

At a 16 percent discount rate, we repeat the same calculations:

PV = $150,000 * [1 - (1 + 0.16)^(-19)] / 0.16
PV ≈ $1,072,736.15
Therefore, the present value of the cash flows at a 16 percent discount rate is approximately $1,072,736.15.

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If 8% is the appropriate discount rate, the present value of this stream of cash flows is approximately $1,375,320.

To calculate the present value of a stream of cash flows, we can use the formula for the present value of an annuity. The formula is:

\(PV = C * [(1 - (1 + r)^(-n)) / r]\)

Where:

PV = Present value

C = Cash flow per period

r = Discount rate per period

n = Number of periods

In this case, the cash flow per period (C) is $150,000, the discount rate (r) is 8% (or 0.08), and the number of periods (n) is 19.

Let's calculate the present value using these values:

PV = $150,000 * \([(1 - (1 + 0.08)^(-19)) / 0.08]\)

PV ≈ $150,000 * [(1 - 0.2665) / 0.08]

PV ≈ $150,000 * (0.7335 / 0.08)

PV ≈ $150,000 * 9.1688

PV ≈ $1,375,320

Therefore, if 8% is the appropriate discount rate, the present value of this stream of cash flows is approximately $1,375,320.

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Step-by-step explanation:

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

or

1/3d - 4 × 2 =72

let d = dawn

let e = erik

let j = jiro

let a = alita

remember that a number next to a variable means multiplication.

The equation could  write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13.  These are the expressions  2x – 5 and 13.The sign connecting these two expressions is "=".

In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.

Equations are different, for example:

Let us suppose ,

age of Erik is e

dawn is d

Jiro is j

Alita is a

The equation could write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

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