Answer the question below. Once again needed TODAYYY

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Answer:

  -2/3

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-6))/(-9 -3) = 8/-12

  m = -2/3

The slope of the line is -2/3.

__

The graph shows the two points and a line with a slope of -2/3.

The area of the given parallelogram is 421 7/8 ft² [option 2]

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, a parallelogram, with height 18 3/4 ft and base length 22 1/2 ft,

The area of a parallelogram = base x height

Area = 18 3/4 x 22 1/2

= 421 7/8 ft²

Hence, the area of the given parallelogram is 421 7/8 ft² [option 2]

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Answer:

Mistake was subtracting x rather than adding x in the first step

The true answer is x = - 4

Step-by-step explanation:

Lets first solve the equation so we can compare to identify where the mistake is.

6 - x = 5x + 30

==> add x to both sides

6 = 6x + 30

==> subtract 30 from both sides

-24 = 6x

==> divide both sides by 6

-4 = x is the correct answer.

After comparing our work with their work, the mistake seems to be made in the first step. They subtracted x from both sides rather than adding x to both sides. This is wrong because the inverse of subtraction is addition.

Answer : 8.74h + 3.50, 47.2

Step - by - step explanation :

Part A = 8.74h + 3.50 || The reason why 8.74 has an " h " in front of it is because we don't know how many times it repeats / how many hours Laci works.

Part B = 8.74 x 5 + 3.50 = 47.2 || The reason why 3.50 was added onto it is because - for every day Laci works, she gets paid 3.50. ( And she worked that day so . . . )

Ornamental Insulation Corporation would report a net income of $1,022,000 and comprehensive income of $1,010,000 resulting from these investments in its 2021 financial statements.

Ornamental Insulation Corporation would report the following amounts in its 2021 income statement, statement of comprehensive income, and balance sheet as a result of the investment activities:

Interest Income from American Instruments Bonds: $93,600 ($1,170,000 × 8%)

Gain on Sale of Distribution Transformers Bonds: $43,000 ($623,000 - $580,000)

Total Net Income: $136,600 ($93,600 + $43,000)

Gain on Investments: $55,000 (This represents the gain on the sale of the distribution transformers bonds and is included in the comprehensive income section.)

Balance Sheet (as of December 31, 2021):

American Instruments Bonds: $1,102,000 (market value)

M&D Corporation Bonds: $1,670,000 (face value)

Accumulated Other Comprehensive Income: $55,000 (This represents the gain on investments and is included in the comprehensive income section.)

Retained Earnings: Increase of $136,600 (This represents the net income from the income statement.)

In summary, Ornamental Insulation Corporation would report a net income of $136,600, a comprehensive income of $55,000, and an increase in retained earnings of $136,600 as a result of these investments for the fiscal year 2021.

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The equation of the line in point-slope form is expressed as: y - 1 = -1/4(x - 6).

The equation of a line in point-slope form, y - b = m(x - a), can be written when we know the following:

Find the slope of the line.

Slope (m) = rise/run = -1/4.

m = -1/4

Pick a point on the line

A point on the line is, (a, b) = (6, 1)

Write the equation of the line by substituting m = -1/4, a = 6, and b = 1 into y - b = m(x - a).

y - 1 = -1/4(x - 6)

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The current flowing in the region where R > 2a/3 of the cylindrical wire with radius a = 200μm and uniform current density J = 2×10^8 A/m^2 is 2.67 A.

To calculate the current in the specified region, we first need to determine the length of that region. Let's consider the length of the wire as L. The length of the region where R > 2a/3 can be calculated as L' = L - 2π(2a/3), which simplifies to L' = L - (4πa/3).

Next, we can calculate the total current flowing through the wire using the current density formula: I = J × A, where I is the current, J is the current density, and A is the cross-sectional area of the wire. The cross-sectional area A is given by A = πa^2.

Since the current density is uniform, the total current I flowing through the wire is equal to J multiplied by the cross-sectional area A. Therefore, I = J × A = J × (πa^2).

Now, we can determine the current in the region where R > 2a/3 by multiplying the total current I by the ratio of the length of that region L' to the total length L. Therefore, the current in the specified region is given by I' = I × (L'/L).

Substituting the known values into the equations, we have:

I' = (2×10^8 A/m^2) × (π(200μm)^2) × [(L - (4π(200μm)/3)) / L]

I' = 2.67 A

Therefore, the current flowing in the region where R > 2a/3 is 2.67 A.

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To determine when the rate of change of population is fastest, we need to analyze the behavior of the derivative dP/dt. Since the population is at its carrying capacity when P = 75, the rate of change of population is fastest when P is farthest from its carrying capacity. In this case, it would be at the lowest population value, which is P = 0.

The differential equation given is:

dP/dt = 2(1 - P/150)P

To find the carrying capacity, we need to determine the equilibrium point of the population, where the rate of change is zero (i.e., dP/dt = 0).

Setting dP/dt = 0 in the differential equation:

0 = 2(1 - P/150)P

Simplifying:

0 = 2P - \(2P^2\)/150

0 = P - \(P^2\)/75

Rearranging:

\(P^2\)/75 - P = 0

Factoring out P:

P(P/75 - 1) = 0

This equation is satisfied when either P = 0 or P/75 - 1 = 0.

For P = 0, the population is at its lowest and there is no growth.

For P/75 - 1 = 0, solving for P:

P/75 = 1

P = 75

So, the carrying capacity of the population, in this case, is 75.

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find the carrying capacity of differential equation: dP/dt= 2(1-P/150)P Suppose p(t) represents population of species x at time t years. what would be the population when the rate of change of population is fastest?

The variance of the murder rate data is approximately 4.83, and the standard deviation is approximately 2.20.

To find the variance and standard deviation of the murder rate data, we first need to find the mean (average) of the data.

Mean or average is the sum of all the data values divided by the number of data values. That is

\(Mean =\frac{( sum\ of\ all\ the\ data\ values)}{(number\ of\ data\ values)}\)

To find the sum of all the data values we will use the midpoint of the class intervals and multiply it by the corresponding frequencies.

Midpoint of Class Interval = (Lower Class Limit + Upper Class Limit) / 2

For example, the midpoint of the first class interval, 5 - 11, is (5+11) / 2 = 8

The midpoint of the second class interval, 12 - 18, is (12+18) / 2 = 15

and so on.

So, the sum of all the data values is

(8 x 8) + (15 x 5) + (22 x 7) + (29 x 1) + (36 x 1) + (43 x 3) = 487

The number of data values is the sum of all the frequencies:

8 + 5 + 7 + 1 + 1 + 3 = 25

So, the mean is

487 / 25 = 19.48

Now we can use the mean to find the variance and standard deviation using the following formulas:

Variance = Σ(x - μ)^2 / n

Standard Deviation = √Variance

Where x is the midpoint of the class interval, μ is the mean, and n is the number of data values.

After calculation, the variance of the murder rate data is found to be approximately 4.83, and the standard deviation to be approximately 2.20.

--The question is incomplete, the complete question is as follows--

"The data represent the murder rate per 100,000 individuals in a sample of selected cities in the United States:

Class Interval 5 - 11 : Frequency 8

Class Interval 12 - 18 : Frequency 5

Class Interval 19 - 25 : Frequency 7

Class Interval 26 - 32 : Frequency 1

Class Interval 33 - 39 : Frequency 1

Class Interval 40 - 46 : Frequency 3

Find the variance and standard deviation. Round your answers to at least one decimal place."

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Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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Answer:

He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

Given that

Divisor = 0.52

And, the dividend is 754

It can be written as

Divisor is 52 i.e. (0.52 × 100)

And, the dividend is 7540 i.e. (754 × 10)

Now if we multiplied by 100 and divide by 10 so it gives the same result

Therefore the last option is correct and the same is to be considered

And all the other options are wrong

Answer:

D He multiplied the divisor by 100 and the dividend by 10

Step-by-step explanation:

Hope this helps:)

Answer:

  A, D

Step-by-step explanation:

The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...

  (independent variable, dependent variable) = (cans, balls)

Then the point (2, 6) corresponds to (2 cans, 6 balls).

The applicable descriptive statements are ...

  A.  2 cans contain 6 tennis balls

  D.  There are 6 tennis balls in 2 cans

Answer:

\(\pmb{12 }\)

Step-by-step explanation:

12 is the coefficient of the third term in the expression shown

Answer:

(7,1)

Step-by-step explanation:

..............

Answer: The angles are 36 and 144.

Step-by-step explanation:

Let the linear pairs be 4x and x

so

4x + x = 180 (being linear pair)

or, 5x = 180

or, x = 180/5

so, x = 36

so, 4x = 4*36 = 144

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

It will take them 2 hours to do the whole task if they work together.

If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:

The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).

The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).

When they work together, their rates of work will add up, so their combined rate of work is:

1/3 + 1/6 = 1/2

This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:

time = work ÷ rate of work

Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:

time = 1 ÷ (1/2) = 2 hours

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Answer:

6.13

Step-by-step explanation:

This diagram shown is a right triangle;

USing the SOH CAH TOA idenity

Adjacent = x

Hypotenuse = 8

Angle of elevation = 40 degrees

cos theta = adj/hyp

cos 40 = x/8

x = 8cos40

x = 6.13

Hence the value of x to the nearest hundredth is 6.13

Answer:

6x + 4y = 16

Step-by-step explanation:

2(3x + 2y = 8)

2(3x + 2y) = 2(8)

6x + 4y = 16

Answer:

6x+4y=16

Step-by-step explanation:

2 (3x+2y=8)

2×3x+2×2y=2×8

=6x+4y=16 ans.

Answer:

Missing side length = 45

Step-by-step explanation:

In this problem, we're trying to find the longest side, or hypotenuse, of the triangle. Luckily, there's a formula to find this!

The Pythagorean Theorem is a formula that allows us to find any of the three sides of a right triangle using the lengths of the other two sides.

The formula is, a² + b² = c², where a and b are the side lengths of the two sides that make the right angle and c is the length of the side across from the right angle, the hypotenuse.

To use the formula, we just have to plug in the lengths of the two sides we know and then solve for the third variable. When we're looking for the hypotenuse length, we'll plug in the values for a and b, then solve for c. The a and b values are completely interchangeable, so it won't matter which side length you plugin for which. You just have to make sure that c is going to be the hypotenuse length.

Let's go ahead and plug in our known values for the equation. We're given the two side lengths 27 and 36, which will be our a and b values. Remember, they're interchangeable!

27² + 36² = c²          Next, we can square the a and b numbers.

729 + 1296 = c²       Now add them together.

2025 = c²                 And finally, square root both sides of the equation.

\(\sqrt{2025}= \sqrt{c^2}\)

45 = c

So, the length of the hypotenuse for this triangle is 45. Now, you can use this formula to solve for any of the three sides of a right triangle when given the other two side lengths.

Answer:

x = 45

Step-by-step explanation:

Forming the equation,

→ (x)² = (36)² + (27)²

Now the value of x will be,

→ (x)² = (36)² + (27)²

→ x² = 1296 + 729

→ x² = 2025

→ x = √2025

→ [ x = 45 ]

Hence, the value of x is 45.

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

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Answer:

he length of the rope is approximately equal to 10.99 feet

Answer:

Rearranging the expression \(x=\frac{2w+1}{5-3w}\) to make w the subject we get \(\mathbf{w=\frac{1-5x}{-3x-2} }\)

Step-by-step explanation:

We need to rearrange the expression \(x=\frac{2w+1}{5-3w}\) to make w the subject.

\(x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\\)

Subtract 2w on both sides

\(5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\\)

Subtract 5x on both sides

\(5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\\)

Taking w common on left hand side

\(w(-3x-2)=1-5x\\\)

Divide both sides by -3x-2

\(\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}\)

So, rearranging the expression \(x=\frac{2w+1}{5-3w}\) to make w the subject we get \(\mathbf{w=\frac{1-5x}{-3x-2} }\)

Answer:

4 is a percent of 15 is 0.6

Step-by-step explanation:

if you out 15/0.6 as a fraction you will get 4

Answer:

4%

Step-by-step explanation:

STEP 1: Put the numbers into a fraction

0.6/15

STEP 2: Divide

0.6/15 = 0.04

STEP 3: Move decimal point two places to the right

0.04 -> 4

Answer: 4%

Answer:

terminan sus estudios cuando tienen 26 años y 2/3 años de edad

The rule of the transformation that has been applied to the ordered pairs of triangle QRS to triangle Q'R'S' is a rotation of 90° about the origin in a counterclockwise (anticlockwise) direction.

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle QRS (∆QRS), the coordinates of the vertices of the image (∆Q′R′S′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair Q = (-4, 2) → Ordered pair Q' = (-2, -4)

Ordered pair R  = (-3, 5) → Ordered pair R' = (-5, -3)

Ordered pair S = (0, 1) → Ordered pair S' = (-1, 0)

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Answer:

shown below

Step-by-step explanation:

GDO=21

x=3 and i cant figure out DOG or DGO

Answer:

10 and 9 so 90

Step-by-step explanation:

10 times 9 equals 90