Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8
4-3-2
12
2H298NON-
10
-10
1 2 3 4 5 6 7 8 9 10 11 12 1

Answer:

earplugs

Step-by-step explanation:

Because sound waves absorb most sound, the sound is coming from the earplugs which creates the most sound waves rather than water, tissue paper, and air.

Answer:

Water

Step-by-step explanation:

The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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The number of students with heights less than 163 cm should be expected is 12.

According to the statement

The mean of height is 175 cm

and  the standard deviation of height is 6 cm.

We use normal distribution here with formula

Z= X - μ /σ

Here X is 167.5 and μ is 175 and σ is 6 cm.

Substitute the values in it then

Z = 167.5 - 175 / 6

Z = -1.25

-1.25 have a p value 0.012

Out of 1000 students:

0.012 x 1000 = 12.

So, The number of students with heights less than 163 cm should be expected is 12.

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This circular swimming pool has 4595  ft³ of water in it.

According to what is said, the depth grows linearly from 2 feet at the south end to 7 feet at the north end and remains constant along east-west lines.

The given data in the question-

Diameter of  circular swimming Pool; d = 30 ft

Radius r = d/2 = 30/2 = 15 ft

The average depth is given as;

avg (h) = (4 + 9)/2

avg (h) = 6.5 ft

Formula for circular area is;

A = πr²

Put the values;

A = π × 15²

A = 225π

Formula for circular volume is;

Volume = Area × depth

Volume = 225π × 6.5

Volume = 4594.57 ft³

Rounding to a whole number;

Volume =  4595 ft³

Thus, this circular swimming pool has 4595  ft³ of water in it.

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Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

See below for answers and explanations

Step-by-step explanation:

Find the diagonal of a TV with a width : height ratio of 9:5

\(9^2+5^2=c^2\\\\81+25=c^2\\\\106=c^2\\\\c=\sqrt{106}\)

Divide 36 by this result to get the scale factor

\(\displaystyle \frac{36}{\sqrt{106}}=\frac{36\sqrt{106}}{106}=\frac{18\sqrt{106}}{53}\)

Multiply both the width and height by the scale factor

Actual width: \(\displaystyle 9*\frac{18\sqrt{106}}{53}=\frac{162\sqrt{106}}{53}\approx31.47\:\text{inches}\)

Actual height:  \(\displaystyle 5*\frac{18\sqrt{106}}{53}=\frac{90\sqrt{106}}{53}\approx17.48\:\text{inches}\)

Multiply the new width and height to find the surface area of the screen

\(\displaystyle \frac{162\sqrt{106}}{53}*\frac{90\sqrt{106}}{53}=\frac{14580(106)}{2809}=\frac{1545480}{2809}\approx550.189\: \text{square inches}\)

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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Answer:

1,398.983

Step-by-step explanation:

The greatest integer among all three consecutive integers is 1718.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Let's say the first integer is = x

Then second = x + 2

Third = x + 3

Now,

Sum (x) + (x + 1) + (x + 2) = 5151

x + x + 1 + x + 2 = 5151

3x + 3 = 5151

3x = 5148

x = 1716

So greatest integer

x + 3 → 1716 + 3 = 1719

Hence "The greatest integer among all three consecutive integers is 1718".

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Answer:

a 1+- square root of 10

Step-by-step explanation:

subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.

The height of the wind turbine where the distance from it's base to buoy is 150 meters and angle of elevation is 28°, is equals to the 281.95 meters.

See the above figure carefully. Let there present right angled triangle be ∆ABC. We have length of buoy away from the base of a wind turbine(AB), BC = 150 meters

Angle of elevation from the buoy to the top of the wind turbine, BAC = 28°

We have to determine height of the wind turbine that is length of AB. As we see this is a right angled triangle so we will use trigonometric functions. Now, tangent function of angle

= height/base length. Here, consider the function for angle 28°, so tan (28°) = BC/AB

=> tan (28°) = 150/AB

=> AB = 150/tan (28°)

=> AB = 150/0.532

=> AB = 281.954887218 ~ 281.95

Hence, required value is 281.95 meters.

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Complete question:

The above figure comples the question. A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees

what is the height of the wind turbine?

give your answer in 2 d. P

Answer:

B.6x^2

Step-by-step explanation:

\(\left(2x^2\right)\times\:3\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=2x^2\times\:3\\\\=6x^2\)

The lamps should be placed strategically around the house to provide adequate illumination in the event of an intrusion. It is important to ensure that the lamps are located in areas where they will not be easily disabled by an intruder. Additionally, the circuitry for the lamps should be placed in a secure location where it will not be easily tampered with by an intruder.

a) The lights alarm is activated when the LDR sensor detects a change in light intensity, which can occur when an intruder enters the premises or when there is a sudden change in ambient lighting conditions.

b) To estimate the value of the resistance of the sensor when it is activated, we need to refer to the characteristic graph of the LDR sensor. According to the graph, we can see that the resistance of the LDR sensor decreases as the light intensity increases. Therefore, when the sensor is activated (when there is a sudden increase in light intensity), we can expect the resistance of the LDR sensor to be at its lowest point on the graph. The exact value will depend on the specific characteristics of the LDR sensor being used and the intensity of the light triggering the activation.

c) The circuit with lamps in parallel will produce more light in the house compared to the circuit with lamps in series. This is because in a parallel circuit, each lamp receives the full voltage from the power source, whereas in a series circuit, the voltage is divided between the lamps. Therefore, the lamps in a parallel circuit will shine brighter than those in a series circuit, providing more illumination in the house.

d) The LDR sensors should be placed in strategic locations where they can detect any changes in light intensity caused by an intruder entering the premises. These may include entry points such as doors and windows or other areas where an intruder may try to gain access.

The siren should be placed in a central location in the house where it can be heard throughout the entire premises. This will help alert occupants to the presence of an intruder.

The lamps should be placed strategically around the house to provide adequate illumination in the event of an intrusion. It is important to ensure that the lamps are located in areas where they will not be easily disabled by an intruder. Additionally, the circuitry for the lamps should be placed in a secure location where it will not be easily tampered with by an intruder.

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Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

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To convert the polar equation r = 3 sin(θ) to rectangular form, we can use the following equations:
x = r cos(θ)
y = r sin(θ)

Substituting r = 3 sin(θ), we get:
x = 3 sin(θ) cos(θ)
y = 3 sin²(θ)

Simplifying the above equations using the identity sin²(θ) + cos²(θ) = 1, we get:
x = 3 sin(θ) cos(θ) = 3/2 sin(2θ)
y = 3 sin²(θ) = 3/2 - 3/2 cos(2θ)

Now, we can sketch the graph of the rectangular equation using a graphing calculator or by plotting points. The graph of the equation represents a cardioid with a cusp at the origin. It is symmetric with respect to the x-axis and has four lobes. The maximum distance from the origin is 3/2, which occurs at θ = π/2 and θ = 3π/2. The minimum distance is zero, which occurs at θ = 0 and θ = π.

In conclusion, the rectangular form of the polar equation r = 3 sin(θ) is x = 3/2 sin(2θ) and y = 3/2 - 3/2 cos(2θ), and its graph is a cardioid with a cusp at the origin, four lobes, and maximum distance of 3/2.

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The equation that can be used to find x, the number of spotlights the committee rented is x * C = 800

To solve a first-degree equation, we must find the value of the unknown (which we will call x) and, for this to be possible, just isolate the value of x in equality, that is, x must be alone in one of the members of the equation.

Since the committee spends $800 on spotlights, we can set up the equation:

\(x * C = 800\)

In this equation, x is the number of spotlights rented and C is  the cost per spotlight.

This equation allows us to find the value of x, the number of spotlights rented, by substituting the appropriate value for C.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Answer:

2xy • (4x2y + 3x - 1 )

Step-by-step explanation:STEP

1

:

Equation at the end of step 1

 (((8•(x3))•(y2))+((2•3x2)•y))-2xy

STEP

2

:

Equation at the end of step

2

:

 ((23x3 • y2) +  (2•3x2y)) -  2xy

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  8x3y2 + 6x2y - 2xy  =   2xy • (4x2y + 3x - 1)

Trying to factor a multi variable polynomial :

4.2    Factoring    4x2y + 3x - 1

Try to factor this multi-variable trinomial using trial and error

The most accurate statement is: "A statistic is a random variable whose value depends on a random sample chosen."

A statistic is a calculated value from a sample of data. It is a random variable as its value depends on the selected sample. For example, the sample mean is a statistic whose value depends on the specific value of each observation in the sample.

parameters are fixed values ​​that characterize the population. Usually unknown and estimated using sample data. For example, the population mean is a parameter that can be estimated using sample data.

In summary, a statistic is a value computed from sample data that is used to draw inferences about a population. Parameters are values ​​that characterize a population and are estimated from sample data.

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A square could be called a rectangle since it has four right angles.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.

So,  Every square is a rectangle because it is a quadrilateral with all four angles right angles.

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Option D) is correct option that is the function ,  (f + g)(x) = x – 7

Note that if we have been given two functions which are f(x) and g(x) then their addition will be given as

            (f + g)(x) = f(x) + g(x)             (1)

We have been given the equation as

f(x) = -3x - 5     and g(x) = 4x – 2

putting the required value in equation (1) we get

            (f + g)(x) = (-3x-5) + (4x-2)

            (f + g)(x) = -3x – 5 + 4x – 2

            (f + g)(x) = x – 7

Thus option D) is the correct option that is the function,  (f + g)(x) = x – 7

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Interquartile Range for the given graph is 24.

What is Interquartile Range?

A particularly helpful measurement is the IQR. Because it restricts the range to the middle 50% of the numbers, it is useful because it is less influenced by extreme values.

Main body:

How do you find the interquartile range and range on a box-and-whisker plot?

The distance between the third and first quartiles is known as the interquartile range or IQR.

In the box and whisker plot given,

Upper Quartile, Q₃ is 80

Lower Quartile, Q₁ is 66

Interquartile Range = Q₃ - Q₁

                                = 80-66

                                = 24

Hence , Interquartile Range for the given graph is 24.

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Answer:

t > 4

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-6*t-3-(-2*t-19)<0

Step by step solution :

STEP  1

:  Pulling out like terms

Pull out like factors :

-4t + 16  =   -4 • (t - 4)

Equation at the end of step 1:

STEP 2:

Divide both sides by  -4

Remember to flip the inequality sign:

Solve Basic Inequality :

Add  4  to both sides

T > 4

Inequality Plot :

inequality plot for

        -4.000 X  + 16.000  >  0

( SEE ATTATCHMENT)

One solution was found :

t > 4

Answer:

\(m = \frac{5}{3}\)  

\(b = \frac{4}{3}\)

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

\(\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}\)

\(y = \frac{5}{3}x + \frac{4}{3}\)

This means that  \(m = \frac{5}{3}\)  and \(b = \frac{4}{3}\).

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Answer:

\(\frac{1}{2}(4x+6)+3x=7x+9\)

\(\frac{1}{2}(4x+8)+3x=7x+9\)

Step-by-step explanation:

By putting the numbers in the given equation,

\(\frac{1}{2}(4x+6)+3x=7x+9\)

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

\(-\frac{2x}{2}=\frac{6}{2}\)

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

The Gabriel expression after simplifying for the price of 2 bags of beans and 1 bag of rice is,

\(2b+r\)

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

The expression which represent the total cost of the rice and beans Gabriel bought is,

\(C=6b+4r\)

Now Gabriel returns 2 bags of beans and 1 bag of rice.The expression which represent that represents the total cost after the return is,

\(C_r=(6b +4r) -(2b+r).\)

Thus the cost of 2 bags of beans and 1 bag of rice which Gabriel return, is the difference of initial cost and the final cost.

Thus, the expression for 2 bags of beans and 1 bag of rice is,

\(C=6b+4r-[(6b+4r)-(2b+r)]\)

Open the bracket to simplify the expression as,

\(C=6b+4r-6b-4r+2b+r\\C=2b+r\)

Thus the Gabriel expression after simplifying for the price of 2 bags of beans and 1 bag of rice is,

\(2b+r\)

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Answer:

130 is your answer

Step-by-step explanation:

hope this helps

Answer:

Answer: 40% of 130 is 52

Step-by-step explanation:

Events a and b are not independent. The probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28).

If events a and b were independent, the probability of both events occurring would be the product of their individual probabilities (P(a) x P(b)). However, in this scenario, the probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28). This suggests that the occurrence of one event affects the occurrence of the other, indicating that they are dependent events.

Independence between events a and b refers to the idea that the occurrence of one event does not affect the probability of the other event occurring. In other words, if events a and b are independent, the probability of both events occurring is equal to the product of their individual probabilities. However, in this scenario, we are given that the probability of event a occurring is 0.7, the probability of event b occurring is 0.4, and the probability of both events occurring is 0.2. To determine whether events a and b are independent, we can compare the probability of both events occurring to the product of their individual probabilities. If the probability of both events occurring is equal to the product of their individual probabilities, then events a and b are independent. However, if the probability of both events occurring is less than the product of their individual probabilities, then events a and b are dependent.

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