PLEASE HELP NEED RN WILL GIVE BRAINLY IF CORRECT

Answer:

  y +2 = -3(x -2)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for this:

  y -k = m(x -h)   . . .    for a line of slope m through point (h, k)

__

  y +2 = -3(x -2) . . . . fill in the given values. Note that -(-2) = +2

The developer can have a maximum of 40 lots on the 16-acre subdivision.

To calculate the number of lots the developer can have on the 16-acre subdivision, we need to subtract the area occupied by streets and common areas from the total area and then divide it by the minimum lot size.

1 acre is equal to 43,560 square feet, so 16 acres is equal to 16 * 43,560 = 696,960 square feet.

The streets and common areas will take up 30% of this overall area:

30% of 696,960 = 0.3 * 696,960 = 209,088 square feet.

Now we subtract the area occupied by streets and common areas from the total area to find the area available for the lots:

696,960 - 209,088 = 487,872 square feet.

Since the minimum lot size is 12,000 square feet, we divide the available area by the minimum lot size to find the number of lots:

487,872 / 12,000 = 40.656.

Since we cannot have a fraction of a lot, the developer can have a maximum of 40 lots on this property.

As a result, the 16-acre subdivision may only accommodate a maximum of 40 lots from the developer.

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Answer:

[tex]\frac{dc}{dt}\approx13.8146\text{ km/min}[/tex]

Step-by-step explanation:

We know that the plane travels at a constant speed of 14 km/min.

It passes over a radar station at a altitude of 11 km and climbs at an angle of 25°.

We want to find the rate at which the distance from the plane to the radar station is increasing 4 minutes later. In other words, if you will please refer to the figure, we want to find dc/dt.

First, let's find c, the distance. We can use the law of cosines:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

We know that the plane travels at a constant rate of 14 km/min. So, after 4 minutes, the plane would've traveled 14(4) or 56 km So, a is 56, b is a constant 11. C is 90+20 or 115°. Substitute:

[tex]c^2=(56)^2+(11)^2-2(56)(11)\cos(115)[/tex]

Evaluate:

[tex]c^2=3257-1232\cos(115)[/tex]

Take the square root of both sides:

[tex]c=\sqrt{3257-1232\cos(115)}[/tex]

Now, let's return to our law of cosines. We have:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

We want to find dc/dt. So, let's take the derivative of both sides with respect to t:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2+b^2-2ab\cos(C)][/tex]

Since our b is constant at 11 km, we can substitute this in:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-(11)^2-2a(11)\cos(C)][/tex]

Evaluate:

[tex]\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-121-22a\cos(C)][/tex]

Implicitly differentiate:

[tex]2c\frac{dc}{dt}=2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}[/tex]

Divide both sides by 2c:

[tex]\frac{dc}{dt}=\frac{2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}}{2c}[/tex]

Solve for dc/dt. We already know that da/dt is 14 km/min. a is 56. We also know c. Substitute in these values:

[tex]\frac{dc}{dt}=\frac{2(56)(14)-22\cos(115)(14)}{2\sqrt{3257-1232\cos(115)}}[/tex]

Simplify:

[tex]\frac{dc}{dt}=\frac{1568-308\cos(115)}{2\sqrt{3257-1232\cos(115)}}[/tex]

Use a calculator. So:

[tex]\frac{dc}{dt}\approx13.8146\text{ km/min}[/tex]

And we're done!

Answer:

3

Step-by-step explanation:

A point on the graph is at (-6, 3). Hope this helps!

43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

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Answer:

{1,2,3,4,5}

Step-by-step explanation:

union is the collection of all numbers from set A and set B.in order

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y = [tex]\frac{2}{3}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

His error was in missing the negative sign from [tex]\frac{3}{2}[/tex]

Answer:

x = 11

Step-by-step explanation:

12x - 3x + 90 = 12x + 57

simplify both sides

12x - 3x + 90 = 12x + 57

9x + 90 = 12x + 57

inverse operations

9x + 90 = 12x + 57

-9x            -9x

90 = 3x + 57

-57         -57

33 = 3x

/3     /3

11 = x

Answer:

x = 11

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Write equation

12x - 3x + 90 = 12x + 57

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

x = 26

Step-by-step explanation:

The sum of the angles around point O = 360°, thus

x + 3x + 256 = 360 , that is

4x + 256 = 360 ( subtract 256 from both sides )

4x = 104 ( divide both sides by 4 )

x = 26

According to the diagram provided, Kyle is creating a frame for a model car by placing two rods together. To justify why AB equals 10, we can use the Segment Addition Postulate.

The Segment Addition Postulate states that if three points A, B, and C are collinear (meaning they lie on the same line), then point B is between points A and C if and only if the sum of the lengths of segments AB and BC is equal to the length of segment AC. In this case, the diagram shows points A, B, and C on a line, where A is the left endpoint, B is the midpoint, and C is the right endpoint. Since point B is the midpoint of segment AC, it divides the segment into two equal parts. Therefore, the length of segment AB is equal to the length of segment BC, and since the lengths are equal, we can conclude that AB is equal to 10 units. Hence, the justification for AB being 10 is based on the Segment Addition Postulate, as it guarantees that point B is the midpoint of segment AC.

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Complete question:

Kyle is creating a frame for a model car. He begins by plecing two rods together, as shown in the diagram. Justify why AB- 10. O Segment Addition Postulate O Addition Property O Definition of Collinear Points O Definition of Midpoint

Answer:

15

Step-by-step explanation:

Since it's an isosceles triangle, all the sides are the same. Since one side is 5 all the other sides are 5 as well. 5 × 3 = 15

Answer:

domain can be from 0 to 20

Step-by-step explanation:

if she doesn't swim, it will be 0 but she can swim up to 20 minutes which will be our x value and our max domain value

Answer:

6e+22

Step-by-step explanation:

I thinkkkk??? maybeee

Answer:

6e+22

Step-by-step explanation:

Hope this helps! Sorry if it's wrong.

To find the Lateral Surface Area and Surface Area of a Triangular and Rectangular Prism, follow the below steps:

Lateral Surface Area of a Triangular Prism:

Step 1: Draw a net of the triangular prism

Step 2: Identify the height of the prism, which is perpendicular to the triangular base.

Step 3: Calculate the perimeter of the base by adding all the sides of the triangle.

Step 4: Multiply the perimeter by the height to get the Lateral Surface Area.Lateral Surface Area = Perimeter of the Base × Height Surface Area of a Triangular Prism:

Step 1: Identify the base and height of the triangle.

Step 2: Use the formula to find the area of the triangle: Area of the Triangle = (1/2) × Base × Height.

Step 3: Multiply the result of step 2 by 2 and add it to the Lateral Surface Area.Surface Area = 2(Area of the Triangle) + Lateral Surface Area.

Surface Area of a Rectangular Prism:

Step 1: Identify the length, width, and height of the rectangular prism.

Step 2: Find the areas of each face of the rectangular prism.

Face 1: Length × Width

Face 2: Length × Height

Face 3: Width × Height

Step 3: Add up the area of all faces of the rectangular prism.

Surface Area = 2(LW + LH + WH)

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Answer:

g(-7) = 5

Step-by-step explanation:

Step 1: Define

g(x) = -2x - 9

g(-7) is x = -7

Step 2: Substitute and Evaluate

g(-7) = -2(-7) - 9

g(-7) = 14 - 9

g(-7) = 5

Answer:

g(-7)=5

Step-by-step explanation:

-2 (-7) - 9 =

14 - 9 =

5

Step-by-step explanation:

variable x = bats

variable y = balls

3x + 6y = 3900

1x + 3y = 1300

I believe this is what they meant by represent it algebraically, but I'm not sure exactly what your class is learning right now. Geometrically, I do not know what they mean. I hope this helps you in some way

Answer:

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  > 73.293

Step-by-step explanation:

Given: Numbers are 7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001 and 73.293

To compare: the two given numbers

Solution:

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  is equal to [tex]73.385[/tex]

Compare the numbers [tex]73.385[/tex] and 73.293

Digits at the ones pace and tens place in both the numbers are same.

Observe the digit at the tenth place in both the numbers.

Digit at the tenth place in 73.385 is 3

Digit at the tenth place in 73.293 is 2

As [tex]3>2[/tex],

73.385 > 73.293

So,

7 × 10 + 3 × 1 + 3 × 0.1 + 8 × 0.01 + 5 × 0.001  > 73.293

Answer:  7 x 10 + 3 x 1 + 3 x 0.1 + 8 x 0.01 + 5 x 0.001 > 73.293

Step-by-step explanation: ik this bc i have this same quiz so gl on the rest of the questions

Answer:

36.0555

Step-by-step explanation:

Answer:

= square root of 7 i believe

Step-by-step explanation:

Answer:

1331

Step-by-step explanation:

since 11 cube is 1331

plz mark as brainliest

Answer:

The correct option is;

Decrease b.

Step-by-step explanation:

The given information are;

The function in the question is given by the equation, y = a·cos(b·x)

Where;

a > 0 and b > 0

The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;

When y = 0, y = a·cos(b·x) = 0

Therefore;

cos(b·x) = 0/a = 0

∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2

Therefore, as b decreases, x increases.

Answer: B

Decrease b.

Step-by-step explanation:

(a) Based on the given data, there appear to be short-term fluctuations in the sales of the ice-skating rink. The sales figures vary from quarter to quarter, with some quarters showing higher sales and others showing lower sales. This suggests the presence of short-term or seasonal trends in the data. For example, there is a notable increase in sales in quarters 1, 5, and 6, followed by a decrease in quarters 3, 4, and 8. This pattern indicates a possible seasonal or cyclical trend in the sales of the ice-skating rink.

(b) To calculate the 3-period moving averages, we take the average of the sales data over a window of three consecutive quarters and compute the average for each subsequent quarter. The moving averages smooth out the fluctuations in the data and provide a clearer picture of the underlying trend.

Quarter 1: (7555 + 6695 + 5415) / 3 = 6555

Quarter 2: (6695 + 5415 + 4150) / 3 = 5420

Quarter 3: (5415 + 4150 + 7310) / 3 = 5625

Quarter 4: (4150 + 7310 + 7015) / 3 = 6158.33

Quarter 5: (7310 + 7015 + 5435) / 3 = 6586.67

Quarter 6: (7015 + 5435 + 3885) / 3 = 5445

Quarter 7: (5435 + 3885 + 0) / 3 = 3106.67

Quarter 8: (3885 + 0 + 0) / 3 = 1295

(c) The moving averages can be plotted on a graph with the x-axis representing the quarters and the y-axis representing the sales figures. Each moving average value is plotted in the corresponding quarter.

(d) Based on the calculated moving averages, we can make a prediction for the sales taken in the following two quarters. The prediction will be the average of the sales figures for the last three quarters.

Prediction for Quarter 9: (7015 + 5435 + 3885) / 3 = 5445

Prediction for Quarter 10: (5435 + 3885 + 0) / 3 = 3106.67

Therefore, the prediction for the sales taken in the following two quarters is £5,445 for Quarter 9 and £3,107 for Quarter 10.

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Let's look at an example:

2.24 x 21.6

[tex]2.24\\ 21.6\\ ______[/tex]

Do normal multiplication and get

48384   This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

Answer:

84+n=342

Step-by-step explanation:

you would subtract 84 from 342 to find the width since it is perimeter.

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

0.06 cubic meters per year

Step-by-step explanation:

Distribute 4 through the parentheses.

4x + 12 = 4x + 12

Subtract 12 from both sides.

4x + 12 - 12 = 4x + 12 - 12

Subtract twice.

4x = 4x

Subtract 4x again.

4x - 4x = 4x - 4x

The answer is 0.

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

The correct answer is the average speed for the entire trip is 34.5 miles per hour and The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

To find out the average speed for the entire trip, we will use the formula for average speed which is given as follows: Average speed = Total distance/Total time

Let's calculate the time taken to travel 138 miles at 23 mi/h

Speed = 23 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/23 = 6 hours

Now, let's calculate the time taken to return back to the starting point, which is again 138 miles away but this time at 69 mi/h.

Speed = 69 mi/h

Distance = 138 mi

Time taken = Distance/Speed = 138/69 = 2 hours

Now, the total time taken for the entire trip is 6 + 2 = 8 hours.

The total distance travelled for the entire trip is 2 x 138 = 276 miles.

Now we can use the formula for average speed to calculate the average speed of the entire trip.

Average speed = Total distance/Total time = 276/8 = 34.5 miles per hour

Therefore, the average speed for the entire trip is 34.5 miles per hour.

The integral that represents this information is as follows: f(x)dx = ∫23 dx + ∫69 dx Where x represents the distance travelled in miles.

The limits of integration are from 0 to 138 for both integrals, representing the forward and backward journeys.

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