Vito uses 999 liters of water to water 242424 flower pots. He is wondering how many liters of water (w)(w)left parenthesis, w, right parenthesis it would take to water 404040 flower pots. He assumes he'll use the same amount of water on each pot.

The expected value of M does not change in a predictable manner when sample size increases; it can increase, decrease, or stay the same.

The expected value of M, or the mean of a sample, is determined by the values of the individual elements that comprise it. As such, when the sample size increases, the expected value of M could increase, decrease, or remain constant, depending on the particular values of the individual elements in the sample. This is because the expected value of M is the average of the individual elements and the contribution of each element to the average depends on its value and the number of elements in the sample. Therefore, the expected value of M does not change in a predictable manner when sample size increases. Depending on the individual elements in the sample, the expected value of M could be higher, lower, or constant.

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The temperature of the hot chocolate will decrease over time and after 4 minutes, it will be around 56 degrees Fahrenheit.

When you put something hot into a freezer, the temperature of the item will decrease over time until it reaches the temperature of the freezer. The rate of temperature decrease depends on the difference between the original temperature and the temperature of the freezer. In this case, the difference is 190 degrees Fahrenheit. The rate of temperature decrease should be roughly 1 degree Fahrenheit per second. After 4 minutes, the temperature of the hot chocolate should be around 56 degrees Fahrenheit. This is because, after 4 minutes, the hot chocolate would have lost around 190-56 = 134 degrees Fahrenheit of temperature. To be more precise, you would have to factor in how quickly the freezer can cool the hot chocolate, which is usually related to the size of the freezer, the size of the container the hot chocolate is in, and the amount of hot chocolate.

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The height of the other tree is 7.25 meters

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

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

Ratio = Height : Shadow

So, we have

Height : Shadow = 4 : 16

Simplify

Height : Shadow = 1 : 4

So, we have

Height : 29 = 1 : 4

This means that

Height = 29 * 1/4

Evaluate

Height = 7.25

Hence the height is 7.25 meters

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Answer:

The height of the other tree is 7.25 meters

Step-by-step explanation:

Rounding to 2 decimal places, the shaded area is 234 cm².

What is the radius of circle?

The radius of a circle is the distance from the center of the circle to any point on the circumference of the circle. It is half of the diameter of the circle.

The diameter of the circle is 0.2 meters, which means the radius of the circle is 0.2 / 2 = 0.1 meters.

The height of the square is a fifth of the diameter of the circle, so the height of the square is 0.2 / 5 = 0.04 meters.

To find the shaded area in cm, we need to find the area of the circle and subtract the area of the square. The area of the circle is given by the formula πr², where r is the radius of the circle. The area of the square is simply the height multiplied by the width, which is equal to the diameter of the circle.

So, the area of the circle is π * 0.1² = 0.0314 square meters. The area of the square is 0.2 * 0.04 = 0.008 square meters. The shaded area is the difference between these two, or 0.0314 - 0.008 = 0.0234 square meters.

To convert the area to cm², we need to multiply by 10⁴. The shaded area in cm² is 0.0234 * 10⁴ = 234 cm².

Rounding to 2 decimal places, the shaded area is 234 cm^2.

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Answer:

108 cm³

Step-by-step explanation:

V = a²(h/3) = 6²(9/3) = 36·3 = 108 cm³

The center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).

The center of gravity, or the center of mass, of a two-dimensional object can be found by taking the weighted average of the x-coordinates and y-coordinates of the individual masses making up the object.

In this case, the two circles can be treated as point masses, with the mass of each circle being proportional to its area. The area of a circle with radius r is given by pi * r^2.

So, for circle c1 with radius 2, its mass is given by:

m1 = pi * 2^2 = 4 * pi

And for circle c2 with radius 1, its mass is given by:

m2 = pi * 1^2 = pi

The x-coordinate of the center of gravity is given by the weighted average of the x-coordinates of the two masses:

x = (m1 * 0 + m2 * 0) / (m1 + m2) = 0

Similarly, the y-coordinate of the center of gravity is given by the weighted average of the y-coordinates of the two masses:

y = (m1 * 0 + m2 * 4) / (m1 + m2) = 4 * (m2 / (m1 + m2)) = 4 * (pi / (4 * pi + pi)) = 4 * (pi / 5 * pi) = 4/5

So, the center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).

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The function increased to a maximum value and then decreased.

We know that a graph can be obtained when we plot the points of the data on a graph. In this case we can see that the data have been graphed accurately as we can see here.

If we look at the graph, we can see that the graph went up and then it started coming down. The implication of that is that the function has attained a maximum point and then began to decrease.

This is clear from the graph that has been shown.

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The area of the given given shape which consists of a triangle and a quarter circle to 1 decimal place would be =161.04m².

The formula used to calculate the are of triangle= ½base×height.

where; Base= 12m

height= 20-12 = 8 m

area = 1/2×12×8 = 48m²

The formula for the area of a quarter circle = πr²/4

where r = 12m

Area = 3.14 × 12²/4

= 3.14×144/4

= 452.16/4

= 113.04m²

Therefore, the area of the figure = 48+ 113.04 = 161.04m²

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The price paid for the chair will be $90.18

The price for the pen will be $4.23.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The price paid for the chair will be:

= $83.50 + (8% × $83.50)

= $90.18

The price for the pen will be:

= $4.50 - (60% × 4.50)

= $4.23

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Answer:

c (c - 8)

Step-by-step explanation:

c² - 8c

First, you have to find the GCF

The Greatest Common Factor is the factor that all have in common. Here the GCF is c

So, we factor c out and has left (c - 8)

So, our equation is

c (c - 8)

Answer:

8 hours

Step-by-step explanation:

We know that since Lila earns $12/hr and works 6 hr/week, she earned 72 since 12 * 6 = 72.

We can let the amount Patrick earns each week represent 9h, where h is the amount of hours he works.

We can solve for h by setting Patrick's equation equal to 72, which is Lila's earnings:

[tex]9h=72\\h=8\\\\9(8)=72\\12(6)=72[/tex]

The sum of the expressions -x² + 2 and 3x² - 7x + 8 is 2x² - 7x + 10

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Find the sum of -x² + 2 and 3x² - 7x + 8. The sum of the expression is:

= (-x² + 2) + (3x² - 7x + 8)

Collecting like terms:

= -x² + 3x² - 7x + 2 + 8

Simplifying:

= 2x² - 7x + 10

The sum is 2x² - 7x + 10

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Answer:

Step-by-step explanation:

The most precise term for the quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5) is a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

The First graph represents the equation y = 3x

The y intercept = 1.5

The horizontal asymptote = infinity

The y -intercept is a point at which the graph of the function touches the y -axis. It is only possible for a function to have zero or one y -intercept.

A horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

Therefore the y intercept is 1.5 from the graph. and the horizontal asymptote is infinity

The power of the numerator is great than that of denominator.

3x²/1x^0

= 2/0

= infinity.

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The equations with no solutions are   −60x+32=−60x+60 and −60x+32=−60x−32. Options B and D

Algebraic expressions are described as expressions that are made up of terms, variables, coefficients, constants and factors.

They are also composed of arithmetic operations, such as;

From the information given, we have that the expression or equation without solutions are those with the value of x as 0.

−60x+32=−60x+60

collect like terms

-60x + 60x = 28

Hence, the equations are  −60x+32=−60x+60 and −60x+32=−60x−32

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Answer:

Kurt originally knitted the scarf to be 3.75 feet + 0.5 feet = 4.25 feet long.

I found the answer by using basic addition. I added the length that Kurt had to unravel (0.5 feet) to the remaining length of the scarf (3.75 feet) to find the original length of the scarf (4.25 feet).

Step-by-step explanation:

When a region is rotated about the x-axis, a cylinder is formed. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder.

The volume of a cylinder is the amount of space the cylinder takes up. It is found by multiplying the area of the cylinder's base by its height. The formula for finding the volume of a cylinder is V = πr²h, where r is the radius of the cylinder's base, and h is its height.

The radius of the cylinder is equal to the distance from the x-axis to the highest point on the graph of y = 9/(x² + 3x + 2).

To find the highest point on the graph, we differentiate the function and find the critical points.

Differentiating y = 9/(x² + 3x + 2):

dy/dx = -18x / (x² + 3x + 2)²

Setting dy/dx = 0 and solving for x:

-18x / (x² + 3x + 2)² = 0

x = -3, 2

For x = -3, y = 9/(-3² + 3(-3) + 2) = 9/1 = 9

For x = 2, y = 9/(2² + 3(2) + 2) = 9/8 = 1.125

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Answer:

Step-by-step explanation:

4) SinC = 30/34

C = sin^-1(30/34)

C = 61.93 degrees

A = 90-61.93

A = 28.07 degrees

5) SinA = 24/26

A = sin^-1(24/26)

A = 67.38

Answer:

1 1/3  or just 1/3

Step-by-step explanation:

What percent of the shape is shaded in?

Alright to start, let's look at the shape, it is divided into 4 equal parts, one part is shaded, which gives us 1/4, or 25% or 0.25. Then there's another part, which is half shaded, that'll be half of 1/4 or 25% or 0.25, which is 1/8 or 12.5% or 0.125. Now all you have to do is add them together.

1/4 + 1/8 = 3/8

25% + 12.5% = 37.5%

0.25 + 0.125 = 0.3725

These are your three answers you can choose from, I guess the second one won't work because the problem states not to include a % sign.

Hope this helped!

LN is tangent to circle O at point M and QM is a diameter. The measure of ∠QML and ∠PMN are 90° and 63° respectively.

1) To Determine the degree measurement of ∠QML

Based on the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection

So, the radius OM is perpendicular to line LN at point M.

Hence,

The value of ∠QML = 90°

2) To determine the degree measurement of angle PMN

∠QMN = ∠QMP + ∠PMN

By the angle addition postulate, we can calculate this measurement as follows:

∠QMN = 90°

∠QMP = 27°

Replace with and substitute the value of angle QML into the equation.

90° = 27° + ∠PMN

∠PMN = 90° - 27° = 63°

Therefore, the value of  ∠PMN is 63°

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Answer:

10.7 °

Step-by-step explanation:

In this problem, there are two angles with degrees of 2x + 6 and two angles of degrees of 15x - 8. We know the sum of the four angles is 360, as stated in the problem. Thus we can set up the following equation:

2(2x + 6) + 2(15x - 8) = 360

4x + 12 + 30x -16 = 360

34x - 4 = 360

34x = 364

x ≈ 10.7 °

The solution to the equation is a = 3 1/3

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

a + 5 and two-thirds = 9

Express properly

So, we have

a + 5 2/3 = 9

Subtract 5 2/3 from both sides of the equation

This gives

a = 9 - 5 2/3

Evaluate the difference

a = 3 1/3

Hence, the solution is a = 3 1/3

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The measure of <D is 130 degree.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given:

<C= (x-4)

and, <D = 9x+ 4

and, <E = 2x+ 12

Now, In triangle CDE using Angle Sum Property

<D+ <E+ <F= 180

x - 4+ (9x+ 4) + 2x+ 12 = 180

12x + 12 = 180

12x = 168

x= 168/12

x = 14

So, the measure of <D = 9x+ 4 = 9(14) + 4 =  130 degree.

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The factor of quadratic equation is x√17

A quadratic equation is one that contains a second-degree polynomial. They are extensively utilized in a wide range of disciplines, including engineering, architecture, finance, biology, and, of course, mathematics.

Factoring is frequently the simplest way to solve a quadratic equation. Finding expressions that can be multiplied together to get the expression on one side of the problem is the process of factoring. A quadratic equation is represented as a product of linear terms if it can be factored.

First you need to find perfect square factors of 17

17 = 1*17

√17  = √1*√17 = 1√17 = √17

we had also √x² = x

So the answer is x√17

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The amount in the account after t years is given as follows:

A(t) = A(0)(1 + r)^t.

In which:

The standard definition of an exponential function is given as follows:

y = a(b)^x.

In which:

For an increasing exponential function, the rate of change is given as follows:

b = 1 + r.

In which r is the growth rate, as a decimal.

Considering that the balance increases according to the yearly dividend, the equation is given as follows:

A(t) = A(0)(1 + r)^t.

The problem is incomplete, hence the general procedure in obtaining the equation was presented, which can be used to analyze the statements.

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The length of the cable is, 252.57 m.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A cable is used to support a 245-m television tower.

And, the angle the cable makes with the ground is 78°.

Let the length of the cable = x

Hence, We can formulate;

⇒ sin 78° = 245 / x

⇒ 0.97 = 245 / x

⇒ x = 245/0.97

⇒ x = 252.57 m

Thus, The length of the cable is, 252.57 m.

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the bus value is depreciating, thus is Decay

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &250000\\ r=rate\to 20\%\to \frac{20}{100}\dotfill &0.2\\ t=years \end{cases} \\\\\\ A = 250000(1 - 0.2)^{t} \implies \boxed{A = 250000(0.8)^t} \\\\\\ \stackrel{\textit{after 6 years, t=6}}{A=250000(0.8)^6}\implies \boxed{65536}[/tex]

Answer: true

Step-by-step explanation:

Answer:

4min:1min

Step-by-step explanation:

60:15

divide by 5

12:3

divide by 3

4:1

The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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