How much is shaded, Record an estimate that is:​

Answer:

[8] 3

[9] 12

[10] 64

Step-by-step explanation:

[8] \(\frac{5(6)}{10}\) = 3

[9] \(\frac{1}{2}(4)(6)\) = 12

[10] \(4(6+10)=\)64

[RevyBreeze]

Answer:

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The value of y for which the given sequence is geometric is -3.

To determine the values of y for which the given sequence is geometric, we need to check if the ratios between consecutive terms are constant.

The sequence is: √(y+2), √(y-1), 2

To find the ratio between the second term and the first term, we divide the second term by the first term: (√(y-1))/(√(y+2))

Similarly, to find the ratio between the third term and the second term, we divide the third term by the second term: 2/(√(y-1))

For a geometric sequence, these ratios should be equal. So, we can set up the equation:
(√(y-1))/(√(y+2)) = 2/(√(y-1))

To simplify this equation, we can cross multiply:
(√(y-1))^2 = 2^2 * (√(y+2))^2

Simplifying further:
y - 1 = 4(y + 2)

Now, we can solve for y:
y - 1 = 4y + 8
-3y = 9
y = -3
Therefore, the value of y for which the given sequence is geometric is -3.

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Answer:

The answer is y=7.5x and y=5.5x+10

Answer:

How did you manage to get it upside down? impressive

Step-by-step explanation:

The answer is C because the slower slope value had +10 as the y intercept also you can clearly see the orange one is going at a faster rate

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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Answer:

\(x=\dfrac{\pi}{2},\quad x=\dfrac{3\pi}{2}\)

Step-by-step explanation:

Given trigonometric equation:

\(\boxed{2\cos^2(x) \csc(x)-\cos^2(x)=0}\)

To solve the equation, begin by factoring out cos²(x) from the left side of the equation:

\(\cos^2(x) \left(2\csc(x)-1\right)=0\)

Apply the zero-product property to create two equations to solve:

\(\cos^2(x)=0\quad \textsf{and} \quad 2\csc(x)-1=0\)

\(\hrulefill\)

Solve cos²(x) = 0:

\(\begin{aligned}\cos^2(x)&=0\\\\\sqrt{\cos^2(x)}&=\sqrt{0}\\\\\cos(x)&=0\\\\x&=\dfrac{\pi}{2}+2\pi n, \dfrac{3\pi}{2}+2\pi n\end{aligned}\)

[To find the solutions using a unit circle, locate the points where the x-coordinate is zero, since each (x, y) point on the unit circle is equal to (cos θ, sin θ).]

Therefore, the solutions on the interval [0, 2π] are:

\(x=\dfrac{\pi}{2},\; \dfrac{3\pi}{2}\)

\(\hrulefill\)

Solve 2csc(x) - 1 = 0:

\(\begin{aligned}2 \csc(x)-1&=0\\\\2\csc(x)&=1\\\\\csc(x)&=\dfrac{1}{2}\\\\\dfrac{1}{\sin(x)}&=\dfrac{1}{2}\\\\\sin(x)&=2\end{aligned}\)

As the range of the sine function is  -1 ≤ sin(x) ≤ 1, there is no solution for x ∈ R.

\(\hrulefill\)

Therefore, the solutions to the given trigonometric equation on the interval [0, 2π] are:

\(\boxed{x=\dfrac{\pi}{2},\quad x=\dfrac{3\pi}{2}}\)

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Answer:

20

Step-by-step explanation:

220 / 11 = 20, so $20 per hour

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

  all are NO

Step-by-step explanation:

No integer ratio with 8 in the denominator can be equal to any integer ratio with 3 in the denominator.

__

The denominators 8 and 3 are relatively prime, so equivalent fractions using them cannot be formed with integers.

The equivalent to 4/3 has a mixed-number numerator that is greater than 8.

  \(\dfrac{4}{3}=\dfrac{10\frac{2}{3}}{8}\)

This matches none of the offered choices.

Answer:

13.5

Step-by-step explanation:

150% × 9 =

(150 ÷ 100) × 9 =

(150 × 9) ÷ 100 =

1,350 ÷ 100 =

13.5

My proof :

If 150% × 9 = 13.5 =>

Divide 13.5 by 9... ... And see if we get as a result: 150%.

Answer:

Step-by-step explanation:

1) Total = 30 students

Girls : Boys = 2 : 1

Total part = 2 + 1 = 3

Fraction of girls = 2/3

\(Number \ of \ girls = \dfrac{2}{3}*30 = 2*10 = 20\\\\\\Number \ of \ boys = 30 - 20 = 10\)

Answer: 20 girls and 10 boys

2) Total pens = 24

Red  :Blue : Black  = 3 : 4 : 1

Total parts = 3 + 4 + 1 = 8

\(Number \ of \ red \ pens = \dfrac{3}{8}*24=3*3 = 9\\\\\\Number \ of \ blue \ pens = \dfrac{4}{8}*24=4*3=12\\\\\\Number \ of \ black \ pens = \dfrac{1}{8}*24=1*3=3\)

Answer: 9 red pens

                12 blue pens

                 3 black pens

3) Total people = 180

Adults : boys : girls = 3 : 2 : 7

Total parts = 3 + 2 + 7 = 12

\(Number \ of \ adults = \dfrac{3}{12}*180=3*15=45\\\\\\Number \ of \ boys = \dfrac{2}{12}*180=2*15=30\\\\\\Number \ of \ girls = \dfrac{7}{12}*180=7*15=105\\\\\)

Answer: 45 adults  ; 30 boys and 105 girls

4)Total vehicles = 12000

Cars : trucks : motorcycles = 13 : 8 : 3

\(Number \ of \ cars = \dfrac{13}{24}*12000=13 *500 = 6500\\\)

6500 cars drove through on that day

\(b) Number \ of \ trucks = \dfrac{8}{24}*1200 = 8*500 = 4000\)

4000 trucks

Answer:

L = \(5 \frac{1}{6} cm = \frac{31}{6} \) cm

B = \(2 \frac{2}{7}cm = \frac{16}{7} \)cm

Area = \( \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} \)

\(11 \frac{34}{42}cm^{2} \)

\( = 11\frac{17}{21}cm^{2} \)

The methods used to summarize or describe characteristics of data are called descriptive statistics.

Descriptive statistics refers to the branch of statistics that focuses on summarizing and describing the main features or characteristics of a dataset. These statistics provide a way to organize, present, and analyze data to gain insights and understand the data's properties. Here are some key points about descriptive statistics:

Data summarization: Descriptive statistics aim to summarize the main aspects of a dataset, including measures of central tendency (such as mean, median, and mode) that provide information about the typical or average value of the data. Measures of dispersion (such as range, variance, and standard deviation) describe the spread or variability of the data points.

Presentation and visualization: Descriptive statistics often involve presenting data in a meaningful and concise manner. This can be done through various graphical representations, such as histograms, bar charts, box plots, or scatter plots. These visualizations help to provide a clear understanding of the distribution, patterns, and relationships within the data.

Sample statistics and population parameters: Descriptive statistics can be calculated for either a sample or an entire population. Sample statistics are calculated based on data from a subset of the population, while population parameters describe the entire population. Sample statistics, such as sample mean or sample standard deviation, provide estimates or approximations of the population parameters.

Descriptive statistics are widely used in various fields, including social sciences, business, healthcare, finance, and many others. They offer a concise and informative summary of data, enabling researchers, analysts, and decision-makers to gain insights, communicate findings, and make informed decisions based on the characteristics of the data.

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Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

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I think the answers here:-

dp201111.pdf

Answer:

Step-by-step explanation:

23.5% OF 128= ???

so,

% value is 100 and word "of" means multiplication (x)

now,

23.5% OF 128

=> 23.5 x 1/100 x 128

=> 23.5/100 x 128

=> 3,008/100

=> 30.08

so, the answer is 30.08

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Answer:

sry need points

Step-by-step explanation:

Answer:

sorry um i forgot :(

Step-by-step explanation:

16733

Answer:

-83.33 \(m/s^2\)

Step-by-step explanation:

Given that:

Initial speed of satellite = 10,000 m/s

Final speed of satellite = 5,000 m/s

Time taken = 1 minute

Let us convert it into seconds.

Time taken = 1 minute = 60 seconds

Let us have a look at the formula:

\(v=u+at\)

where \(v\) is the final speed

\(u\) is the initial speed,

\(t\) is the time taken and

\(a\) is the acceleration

\(5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}\)

Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.

So, the answer is:

-83.33 \(m/s^2\)

Firstly, let's calculate the mean and median for each of the two samples. Baxter College: n = 7 (sample size)X = 23.5 + 22 + 27 + 25 + 21.5 + 25 + 24 = 168/7 = 24

So, the mean of Baxter College's sample BMI is 24. Median = (21.5 + 23.5)/2 = 22.5Banter College: n = 8 (sample size)X = 19 + 20 + 24 + 25 + 31 + 18 + 29 + 28 = 194/8 = 24.25So, the mean of Banter College's sample BMI is 24.25.Median = (24 + 25)/2 = 24Now, we can compare the two sets of results by making use of the difference between them. We notice that the mean values are pretty much the same.

However, the medians are slightly different. Baxter College has a median of 22.5, while Banter College has a median of 24. This implies that Banter College's sample has a greater spread of values. This difference is not apparent from a comparison of the measures of center. However, it does indicate that Banter College's sample might have a larger variability.

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named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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The corresponding point on the unit circle for the angle θ = 5pi/3  is given by: (0,5, -0.866).

What is the unit circle?

Basically, the unit circle is a circle with a radius of 1. It is used in trigonometry to help define and understand angles and their associated trigonometric values. The unit circle is centered at the origin (0, 0) of the coordinate plane, and each point on the circle is defined by its distance from the origin and its angle from the positive x-axis.

What is area of circle ?

The area of circle can be defined as the product of pi and square of radius of a given circle.

In this problem, we have that θ = 5pi/3 , hence:

cos θ = 0.5

sin θ = -0.866

Thus the point is (0,5, -0.866).

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The approximate chance of diurnal phone calls numbering between 38 and 56 is roughly 68%.

Since the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped, we can use the empirical rule to estimate the chance of diurnal phone calls numbering between 38 and 56.

The empirical rule countries that for a bell-shaped distribution

roughly 68% of the data falls within one standard divagation of the mean roughly 95% of the data falls within two standard diversions of the mean roughly 99.7% of the data falls within three standard diversions of the mean

To use the empirical rule, we first need to calculate the z- scores for the values of 38 and 56, using the formula

z = ( x- mean)/ standard divagation

For x = 38, we have

z = ( 38- 47)/ 9 = -1

For x = 56, we have

z = ( 56- 47)/ 9 = 1

This means that the values of 38 and 56 are one standard divagation below and one standard divagation above the mean, independently.

Since roughly 68% of the data falls within one standard divagation of the mean, we can estimate that roughly 68% of the diurnal phone calls answered by the receptionists fall between 38 and 56.

thus, the approximate chance of diurnal phone calls numbering between 38 and 56 is roughly 68%.

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The absolute minimum value of f(x) on [-π/3, 5π/8] is -0.7654, which occurs at x = 5π/8.

First, we find the critical points of f(x) on the interval [-π/3, 5π/8]. Taking the derivative of f(x), we get:

f'(x) = -2sin(2x)

Setting f'(x) = 0, we get sin(2x) = 0, which occurs when 2x = nπ for n = 0, ±1, ±2, ... Thus, the critical points are x = 0, π/2, π, 3π/2.

Next, we evaluate f(x) at the critical points and the endpoints of the interval:

f(-π/3) = cos2(-π/3) = 1/4

f(5π/8) = cos2(5π/8) ≈ -0.7654

f(0) = cos2(0) = 1

f(π/2) = cos2(π/2) = 0

f(π) = cos2(π) = 1

f(3π/2) = cos2(3π/2) = 0

Thus, the absolute maximum value of f(x) on [-π/3, 5π/8] is 1, which occurs at x = 0 and x = π. The absolute minimum value of f(x) on [-π/3, 5π/8] is -0.7654, which occurs at x = 5π/8.

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The square of the length of the chord that is a common external tangent of the other two circles with radii of 3 and 6 is 45.

Given that circles of radii 3 and 6 are externally tangent to each other and internally tangent to a circle of radius 9. The circle of radius 9 has a chord that serves as a common external tangent for the other two circles. The task is to find the square of the length of this chord.

The distance between the centers of the circles of radii 3 and 6 can be found by adding their radii: d1 = 3 + 6 = 9 units.

Since the circles are internally tangent to the circle of radius 9, the distance between their centers can be found by subtracting their radii from the radius of the larger circle: d2 = 9 - 3 - 6 = 0 units.

The chord is a common external tangent of the circles, and its length can be found by doubling the distance between the center of the circle of radius 9 and the chord: Chord length = 2 × h.

To find the height (h) of the triangle formed by the chord and the center of the circle of radius 9, we can use the formula h = (r1 + r2 - R) / 2, where r1 and r2 are the radii of the smaller circles, and R is the radius of the larger circle. In this case, h = (3 + 6 - 9) / 2 = 0.
Since h is zero, it means that the chord passes through the center of the circle of radius 9. Therefore, its length will be the diameter of the circle of radius 9.

The square of the length of the chord can be found using the Pythagorean theorem. Let's denote the length of the chord as d.

- We know that r1 + h = R, so h = R - r1 = 9 - 3 = 6.

- Using the Pythagorean theorem: d = sqrt(R² - h²) = √(9² - 6²) = √(81 - 36) = √(45).

Therefore, the square of the length of the chord is d^2 = 45.

In summary, the square of the length of the chord that serves as a common external tangent for the circles of radii 3 and 6, and is internally tangent to a circle of radius 9, is 45.

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Answer

Trapezoids

Step-by-step explanation:

Squares are not trapazoids.

rho.buses 12342476512457

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY