7. You need to find the height of a nearby tree. Instead of climbing the tree, you decide to
use the length of your shadow and the shadow of the tree. Use the image below to find
the height (h) of the tree to the nearest foot.

Measures of Central Tendency

A central tendency in statistics is a typical or centralised value for a probability distribution. Measures of central tendency are commonly referred to as averages in everyday speech. In the late 1920s, the phrase "central tendency" first appeared. The arithmetic mean, the median, and the mode are the three most used measurements of A central tendency in statistics is a typical or centralised value for a probability distribution. Measures of central tendency are commonly referred to as averages in everyday speech. In the late 1920s, the phrase "central tendency" first appeared. The arithmetic mean, the median, and the mode are the three most used measurements of central tendency.

[tex]\text { Mean }=\frac{\text { sum of all the numbers }}{\text { how many numbers there are }}[/tex]

There are 6 numbers and their sum is 525

Therefore, their mean is

[tex]\text { Mean }=\frac{\text { sum of all the numbers }}{\text { how many numbers there are }}[/tex]

Mode is the number with the highest frequency i .e which number appears the most in the sequence

In this case, there is NO mode because each number there appears only once

Median is the middle number when you place the numbers in ascending order

79,85,86,90,92,93

The middle number is between 86 and 90 . So your middle number can be found by  [tex]\frac{86+90}{2}=88[/tex]

So your median is 88

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The graph for  |x| + 3 > 3 is attached below.

It is unknown if a mathematical sentence is true or false since it uses variables, which is known as a "open sentence" in mathematics. On the other hand, a closed sentence is a mathematical statement that is known to be either true or untrue.

Given:

|x| + 3 > 3

|x| > 3- 3

|x| > 0

Now, The open sentence is an absolute inequality, so we start by analyzing the inequality sign > 0 means that, the x-values of the inequality is not less than 0.

So, the shaded area of the graph are: x >0 then right side of the graph is shaded.

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Answer:

32

Step-by-step explanation:

The end of the box is at 32.

110 kilograms is equal to 242.44 pounds.

To convert kilograms to pounds, you can use the conversion factor:

1 kilogram = 2.204 pounds.

Given that you want to convert 110 kilograms to pounds, you can multiply 110 by the conversion factor:

110 kilograms x 2.204 pounds/kilogram = 242.44 pounds

Therefore, 110 kilograms is equal to 242.44 pounds.

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An inequality that uses Alicia's salary as the unit of measurement is x > $124.3.

Data for the stated question-

'x' is the Alicia's Paycheck

Half money is taken for dinner x/2

Total spending on dinner =  $42.15

Cost of home she bought home more than $20.00.

Thus, inequality to represent the situation becomes-

x/2 - $42.15  > $20.00

Add both side by 42.15.

x/2 > $62.15

Divide the number by 2.

x > $124.3

Therefore, an inequality that uses Alicia's salary as the unit of measurement is x > $124.3.

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The complete question is-

Alicia cashed her paycheck and used half her earnings to take three friends to dinner. She spent $42.15 on dinner and she brought home more than $20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia's paycheck.

Answer:

50 liters

Step-by-step explanation:

2.5 liters drained per minute x 2 minutes = 5 liters drained total

(2.5 x 2 = 5)

55 liters at the start - the 5 liters drained = 50 liters remaining

(55 - 5)

whole equation would be

55 - (2.5 x 2) = 50

The velocity of a shell shot into the air with a velocity of 58 m/s, its height in meters after t seconds is given by y=58t - 20t² is 38 m / s.

When anything is moving, its velocity tells us how quickly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

Height equation, y = 58t - 20t²,

The time, t = 0.5 seconds,

The initial velocity, u = 58 m/s,

Calculate the height at 0.5 sec,

y = 58 × 0.5 - 20 × 0.5²

y = 24 m

Calculate the acceleration at 0.5 sec by using the motion equation given below:

[tex]s = ut+1/2at^2[/tex]

24 = 58 × 0.5 + 1 / 2 × a × 0.5²

-5 = 0.125 × a

a = - 40 m / s²

Calculate the velocity by using the formula given below,

[tex]v = u + at[/tex]

v = 58 + (-40) × 0.5

v = 38 m /s

Therefore, the velocity of a shell shot into the air with a velocity of 58 m/s, its height in meters after t seconds is given by y = 58t - 20t² is 38 m / s.

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Answer:

3.2

Step-by-step explanation:

Compute the Euclidean distance between the following points:

p_1 = (6.6, 7.9) and p_2 = (6.6, 4.7)

The Euclidean distance between points (x_1, y_1) and (x_2, y_2) is:

sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)

Substitute (x_1, y_1) = (6.6, 7.9) and (x_2, y_2) = (6.6, 4.7):

= sqrt((6.6 - 6.6)^2 + (7.9 - 4.7)^2)

6.6 - 6.6 = 0:

= sqrt(0^2 + (7.9 - 4.7)^2)

0^2 = 0:

= sqrt(0 + (7.9 - 4.7)^2)

| 7. | 9

- | 4. | 7

| 3. | 2:

= sqrt(3.2^2)

Cancel exponents. sqrt(3.2^2) = 3.2:

Answer:  = 3.2

Statments Two more students prefer blue than purple and Twice as many students prefer green than purple are true.

What is frequency distribution table?

A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table.

All of the results are presented in the first column as individual values or as class intervals.

The table's second column contains the results' totals, which also display the frequency as vertical lines. It's not required.

The frequency of each result is revealed in the third column.

From the given frequency distribution table we will first calculate the numeric value of the number of students with their favourite colour.

Number of students like red colour = 6

Number of students like yellow colour = 2

Number of students like blue colour = 5

Number of students like purple colour = 3

Number of students like green colour = 6

Now according to above data we find that number of students prefer red colour is equal to number of students prefer green colour.

Twice as many students prefer green than purple.

More students prefer blue than yellow.

Two more students prefer blue than purple.

Therefore, statments Two more students prefer blue than purple and Twice as many students prefer green than purple are true.

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A triangle has three angles that measure 80º, 65º, and 35º will lead to infinite number of triangles

When no side is specified, an infinite number of triangles are created.

If side lengths are not given, the three angles will result in an infinite number of triangles that are unique.

The option that provided only angles and no sides, namely angles of 80º, 65º, and 35º are given matches the criterion of formation of unlimited sides of triangle

To build an endless number of triangles, other alternatives have sides or a side is provided but not in accordance with that.

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The number of weeks after the beginning of the year until they have the same amount of money in 5 weeks.

What is a linear equation?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent of more than 1. The graph of a linear equation always forms a straight line.

A linear equation can be written as:

y = mx + b, where m is the slope and b is the y-intercept.

Given, the linear equations H and S can be written as follows by defining t as the number of weeks since the beginning of the year:

For Harper,  H = 30 + 10t ................ (i)

For Stella, S = 45 + 7t .......... (ii)

To find out how much they had when they had the same amount is our next step.

This means that we must address:

H = S

From eq (i) and (ii), we get

or, 30 + 10t = 45 + 7t

or, 10t - 7t = 45-30

or, 3t = 15

or, t = 5

So they have the same amount of money in week 5.

Hence, H = 30 + 10t and S = 45 + 7t

Answer: 5 weeks

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Slope-intercept form:

y=−9x+44y=-9x+44

Point-slope form:

y−8=−9⋅(x−4)

The time needed for the investment to triple is approximately 32.59 years.

The compound interest formula can be expressed as;

A = P(1 + r/n)^(n*t)

Where A is accrued amount, P is principal, r is interest rate, t is time elapsed.

Given the data in the question;

Plug the given values into the above formula and solve for t.

A = P(1 + r/n)^(n*t)

t = In( A/P) / n[In( 1 + r/n ) ]

t = In( 7500 / 2500) / (2[In( 1 + 3.4%/2 ) ])

t = In( 7500/2500 ) / ( 2[In( 1 + 0.017 ) ]

t = 32.59 years

Therefore, the required time for the investment to $7,500 is is 32.59 years.

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The percentage change of the rainfall the meteorologist predict is 55%

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

Predicted amount of rainfall = 1.0 inches

Actual amount of rainfall = 2.2 inches

The percentage change of the rainfall the meteorologist predict is calculated as

Percentage change = (Actual amount of rainfall - Predicted amount of rainfall)/Actual amount of rainfall * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage change = (2.2 - 1.0)/2.2 * 100%

Evaluate the difference in the above equation, so, we have the following representation

Percentage change = 1.2/2.2 * 100%

Evaluate

Percentage change = 0.55 * 100%

So, we have

Percentage change = 55%

Hence, the percentage change is 55%

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Answer:

Downward

Step-by-step explanation:

A parabola is a curve that is shaped like a U. The direction in which a parabola opens depends on the sign of the coefficient of the x^2 term in the equation defining the parabola. If the coefficient is positive, the parabola opens upwards. If the coefficient is negative, the parabola opens downward.

In the equation y = -x + 2, the coefficient of the x^2 term is 0, so the direction of the parabola does not depend on it. However, the coefficient of the x term is -1, which is negative. This means that the parabola defined by this equation opens downward.

By solving 3 (8-x) -6x + 15 , x = -1

Find the attachment answer

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The inequality will be;

For Hotel A; 80x + 25 < 225

For Hotel B; 105x + 25 < 225

For Hotel C; 75x + 25 < 225

For Hotel D; 90x + 25 < 225

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The coach wants to keep the total cost for each player at $225 with an absolute deviation of at most $25.

Now,

Since, The coach wants to keep the total cost for each player at $225 with an absolute deviation of at most $25.

Hence, We get;

The inequality will be;

For Hotel A;

⇒ 80x + 25 < 225

For Hotel B;

⇒ 105x + 25 < 225

For Hotel C;

⇒ 75x + 25 < 225

For Hotel D;

⇒ 90x + 25 < 225

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The ratio y/x is not constant (k) for all the data points, then y does not vary directly with x.

What is the constant of variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

We have,

         x         y

         2         10

         4         24

         6         36

To determine whether y varies directly with x, you need to see if the ratio of y to x is constant for all the data points.

If y varies directly with x, then the ratio y/x will be constant for all the data points. In this case, you can write an equation for the direct variation in the form y = kx, where k is the constant of variation, which is equal to the ratio y/x.

If the ratio y/x is not constant for all the data points, then y does not vary directly with x.

so, let's see the k constant of variation,

k =  y/x

k = 2/10 =1/5

k = 4/24 = 1/6

k = 6/36 = 1/6

so,  k = 1/5, k=1/6, k=1/6.

Hence, the ratio y/x is not constant (k) for all the data points, then y does not vary directly with x.

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a) The numeric value at t = 4 is of H(4) = 7.

b) The meaning of the numeric value H(2) = 10 is given as follows:

The height of the plant was 10 cm after 2 weeks.

The function in this problem has the definition presented as follows:

H(t) = 5 + 0.5t.

The variables of the function are given as follows:

The numeric value at t = 4 is calculated replacing the lone instance of t in the function by 4, as follows:

H(4) = 5 + 0.5(4) = 5 + 2 = 7 cm.

H(2) = 10 means that when t = 2, H(t) = 10, that is, after 2 weeks, the height is of 10 cm, and thus the last option is correct.

(considering the interpretation of each variable).

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Answer: 2^2*3^1*5^2

Step-by-step explanation:

1st step: find the factors

2 x 2 x 3 x 5 x 5

2nd step: simplify

2^2*3^1*5^2

Answer:

K = 17

Step-by-step explanation:

x = 8

The type of taxation that this table best represent is B. Progressive

A progressive tax is one in which the tax rate rises (or progresses) as taxable income rises. It imposes a lower tax rate on low-income earners and a higher tax rate on higher-income earners. This is usually accomplished by establishing tax brackets that categorize taxpayers based on their income levels.

A progressive tax is one in which the tax rate rises in proportion to the taxable amount. The term progressive refers to the manner in which the tax rate rises from low to high, resulting in a taxpayer's average tax rate being less than the person's marginal tax rate.

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Answer:

I got c

Step-by-step explanation:

Took the test and that’s what it told me 4nem

The set of all x for which the f(x) graph crosses the x-axis is the solution of f(x) = 0. The set of all x for which the graph of f is strictly above the x-axis is the solution of f(x) > 0

Given data :

f(0) =

The set of all x for which the graph of f is strictly above the x-axis is the solution of f(x) > 0

f (x) = -3

x = − 3 is a vertical line that crosses the -axis at -3. y = 3 is a horizontal line that crosses the -axis at 3. y = − 3 is a horizontal line that crosses the -axis at -3.

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Answer:

y=5/4x+1

Step-by-step explanation:

slope intercept form is y=mx+b

M- slope

B- y intercept

We already know slope

y=5/4x+b

To find b we fill in the coordinates we know (-8,-9)

-9=5/4(-8)+b

-9=-40/4+b

-9=-10+b

+10 +10

1=b

Now. We fill it in

y=5/4x+1

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After solving the equation the complex number 19 + 19i.

What is polar form?

In mathematics, polar form is a way of representing a complex number in terms of its magnitude (the distance from the origin to the point on the complex plane) and its argument (the angle formed by the positive x-axis and the line connecting the origin to the point on the complex plane).

To plot the complex number 19 + 19i on the complex plane, you can represent it as a point with coordinates (19, 19). The complex plane is a two-dimensional coordinate system in which the x-axis represents the real part of a complex number and the y-axis represents the imaginary part.

The complex number 19 + 19i can also be written in polar form and in exponential form.

In polar form, a complex number is represented by its magnitude (the distance from the origin to the point on the complex plane) and its argument (the angle formed by the positive x-axis and the line connecting the origin to the point on the complex plane).

The magnitude of the complex number 19 + 19i is:
magnitude = √(19^2 + 19^2)
= √(361 + 361)
= √(722)
= 27

The argument of the complex number 19 + 19i is:
argument = atan2(19, 19)
= 45°

Therefore, the complex number 19 + 19i can be written in polar form as:
19 + 19i = 27 * cis(45°)

In exponential form, a complex number is represented as the product of its magnitude and the complex exponential cis(θ), where θ is the argument of the complex number.
Therefore, the complex number 19 + 19i
Polar form is usually written as:
r * cis(θ)
where r is the magnitude of the complex number and θ is the argument, expressed in radians.

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Answer:

Step-by-step explanation:

y = 4×[tex]5^{0}[/tex] y=4
y=4×[tex]5^{2}[/tex] y=100
y=4×[tex]5^{4}[/tex] y=2500
y=4×[tex]5^{6}[/tex] y=62500
y=4×[tex]5^{7}[/tex] y=312500

Answer:

11

Step-by-step explanation:

If on a number line there would be 11 spaces in between