Write an equation of the line that passes through (1,2) and is perpendicular to the line y=1/3x+4

Answers

Answer 1

The line that cuts through (1, 2) and is perpendicular to (y = 1/3x + 4) has the equation (y = -3x + 5).

What is the equation of the line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

On the y-axis, this value c is referred to as the intercept.

Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

y = 1/3x + 4 is the line that crosses (1,2) and is perpendicular to it.

To ascertain the equation of the line, utilize the procedures below:

Step 1: Two lines that are perpendicular to one another have the following slopes:

mm' = 1

Where the slopes of the lines are m and m'.

Step 2 - The line that is perpendicular to the line (y = 1/3x + 4) has the following slope:

1/3 * m' = -1

m' = -3

Step 3: The equation for a line passing through the points (1, 2) and having a slope of -3 is as follows:

(y - 2) = -(x - 1)

Implicate the equation above:

y = -3x + 5

Therefore, the line that cuts through (1, 2) and is perpendicular to (y = 1/3x + 4) has the equation (y = -3x + 5).

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Related Questions

A rectangle has an area of 114cm squared and a perimeter of 50 cm. What are its dimensions

Answers

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?

Answers

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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The slope of a line of best fit is undefined when _____.
select all that apply

(1) the x values of the data set are constant
(2) the y values of the data set do not change when the x values change
(3) the slope of the line of best fit is vertical
(4) the slope is of the line of best fit is horizontal.
(5) the x values of the data set increase at an unspecified rate as the y values decrease

Answers

The slope of a line of best fit is undefined when the slope is of the line of best fit is horizontal. This is because a horizontal line has a slope of zero

The slope of a line of best fit is undefined when the slope is of the line of best fit is horizontal. A line of best fit is a straight line that is used to represent the data on a scatter plot. It is the line that best fits the data points in a scatter plot.

The slope of a line of best fit is the rate of change of the y-coordinate relative to the x-coordinate.. In other words, there is no rate of change of the y-coordinate relative to the x-coordinate when the line is horizontal.

The x values of the data set increase at an unspecified rate as the y values decrease. This means that the line of best fit has a negative slope. A negative slope means that the y-coordinate decreases as the x-coordinate increases.

In other words, there is a rate of change of the y-coordinate relative to the x-coordinate. The slope of the line of best fit is the value of this rate of change.

The slope of a line of best fit is used to determine the direction and strength of the relationship between two variables.

A positive slope means that the variables are directly proportional, while a negative slope means that they are inversely proportional. The slope of a line of best fit can be calculated using the formula y2 - y1 / x2 - x1.

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Esther ran round the playground and 12 times. The playground is 240 m by 160 m. what distance did she cover?​

Answers

The total distance she cover after running is 9600 meters

How to calculate the total distance she cover?​

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

Number of times = 12 times

Dimensions of the playground = 240 m by 160 m

The perimeter of the playground is calculated as

Perimeter = 2 * sum of dimensions

substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (240 + 160)

The total distance she cover is calculated as

total distance = 12 * 2 * (240 + 160)

Evaluate

total distance = 9600 meters

Hence, the total distance she cover is 9600 meters

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

2=a

7=b

Step-by-step explanation:

a+14=6a+4

-a  

14=5a+4

-4

10=5a

/5

2=a

9b+8=10b+1

-1

9b+7=10b

-9b

7=1b

/1

7=b

Answer:

WZ=7

XY=7

WX=2

ZY=2

Step-by-step explanation:

9b+8=10b+1

Take 9b to 10b and 1 to 8 to form the equation

8 - 1 =10b - 9b

7 = b

a + 14 =6a + 4

Take a to 6a and 4 to 14 to form the equation

14 - 4 =6a - a

10 =5a

Simplify the answer

10/5 =5a/5

Five divide by five 1 and 10 divided by 5 is 2

Answer is therfore

2 = a

You deposit $5000 in an account earning 3% interest compounded continuously. How much will you have in the
account in 15 years?

Answers

Answer:

$7841.56

----------------------

Use the compound interest formula:

[tex]A = Pe^{rt}[/tex]

Where:

A = final amount;P = initial deposit = $5000;r = annual interest rate = 3% = 0.03;t = time period in years = 15.

Plugging in the values, we get:

[tex]A = 5000*e^{0.03*15}[/tex][tex]A = 7841.56[/tex]

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.

Answers

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

How to calculate the probability

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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15(2x -10) + 4x= -3(15x + 4)

Answers

The value of x in the equation 15(2x - 10) + 4x = -3(15x + 4) is 1.7

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators.

Given the equation:

15(2x - 10) + 4x = -3(15x + 4)

Solving the parenthesis:

30x - 150 + 4x = -45x - 12

Collect like terms:

30x + 4x + 45x = -12 + 150

79x = 138

Dividing both sides by 79:

x = 1.7

The value of x is 1.7

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I just need the answer for letter b

Answers

If f(x) = 1/343, then x = -3. The point on the graph of f when f(x) = 1/343 is (-3, 1/343).

How to explain the value

A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.

If f(x) = 1/343, then x = -3. This is because 343 = 7³, therefore the inverses is 1/343. The point on the graph of f when f(x) = 1/343 is (-3, 1/343

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100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!

Answers

The required exact value of sin(585 degrees) is -0.707

The sine function is periodic with a period of 360 degrees.
Therefore,
= sin(585 degrees)
= sin(585 degrees - 360 degrees)
= sin(225 degrees).

The sine function has a negative value in the third quadrant, and 225 degrees is in the third quadrant.
Therefore,
sin(225 degrees) = -sin(45 degrees)
                             = -(1/sqrt(2)) = -0.7071.

Therefore, the exact value of sin(585 degrees) is -0.7071.

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Based on the March expense statement, how much did Maria spend using her credit card?

A. $181.18

B. $117.57

C. $507.59

D. $25.28

Answers

It would be A because by using simple rounding it goes twords 181

Please solve this question

Answers

The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.

We have,

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

Now,

Given that the parabola passes through (-2, 4) and has a vertex (0, 8), we can substitute these values into the equation to find the value of 'a'.

Using the vertex (0, 8):

8 = a(0 - 0)² + 8

8 = a(0) + 8

8 = 8

Since the coefficient of the squared term is 'a', which remains unchanged, we can conclude that a = 1.

Therefore,

The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.

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factorise fully

1) 3x² - 27y²

2) 2014² - 2013²


please help​

Answers

Answer: 3x² - 27y² = (3x²) - (27)(y²) = 3(x² - 9y²) = 3(x - 3y)(x + 3y), and 2014² - 2013² = (2014 + 2013)(2014 - 2013) = (3127)(1) = 3127

Im not 100% sure of this answer cause I'm not that good at stuff like this but I still think this is right fr fr

Write the coordinates of the vertices after a dilation with a scale factor of 1 2 , centered at the origin.

Answers

The coordinates of the vertices after a dilation of the scale factor would be:

W' = (2.5, 5)V' = (0, -5)U' = (2.5, -5)

How to dilate the vertices ?

To perform a dilation with a scale factor of 1/2 centered at the origin, we multiply the coordinates of each vertex by the scale factor.

Given the vertices:

W = (5, 10)

V = (0, -10)

U = (5, -10)

After applying the dilation with a scale factor of 1/2, the new coordinates of the vertices would be:

W' = (5 * 1/2, 10 x 1/2) = (2.5, 5)

V' = (0 * 1/2, -10 x 1/2) = (0, -5)

U' = (5 * 1/2, -10 x 1/2) = (2.5, -5)

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Please someone help me with this. Simplify. The expression in the picture no negative exponents should be added in the answer

Answers

A simplification of the given expression is 1/m¹⁶.

What is an exponent?

In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.

Mathematically, an exponent can be represented or modeled by this mathematical expression;

bⁿ

Where:

the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.

By applying the division and multiplication law of exponents for powers of the same base to the given algebraic expression, we would have the following simplified expression:

[tex](m^{\frac{4}{5}} \cdot m^{\frac{4}{5}} )^{-10}\\\\(m^{\frac{4}{5} +\frac{4}{5} } } )^{-10}\\\\(m^{\frac{8}{5} } )^{-10}\\\\(m^{\frac{8 \times -10}{5} } )\\\\(m^{\frac{-80}{5} } )\\\\m^{-16}[/tex]

1/m¹⁶

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A bag contains 14 blue marbles, 6 green marbles and 8 purple marbles. What is the likelihood of randomly drawing a blue marble?

Answers

Answer:

0

Step-by-step explanation:

because 6 plus 8 eqaul 14

What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations

Answers

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

how many cubes that are 1" x 1" x 1" could fit into a box that is 8" x 8" x 8"

Answers

Answer:

512

Step-by-step explanation:

To determine how many 1" x 1" x 1" cubes can fit into an 8" x 8" x 8" box, we need to calculate the volume of the box and then divide it by the volume of a single cube.

The volume of the box is calculated by multiplying its length, width, and height:

Volume of the box = 8" x 8" x 8" = 512 cubic inches.

The volume of a single cube is 1" x 1" x 1" = 1 cubic inch.

To find out how many cubes can fit, we divide the volume of the box by the volume of a single cube:

Number of cubes = Volume of the box / Volume of a single cube

Number of cubes = 512 cubic inches / 1 cubic inch

Number of cubes = 512

Therefore, 512 cubes that are 1" x 1" x 1" can fit into an 8" x 8" x 8" box.

512.

If you have a cube that is 1x1x1 and a box that is 8x8x8, then you would multiply the 8x8x8 and get 512 because the cube is only 1x1x1 and when you multiply 8x1 you still get 8.

Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.

Answers

The set of 3 lengths that make a right triangle is {8, 15, 17}

Which three lengths should she use?

Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.

So if the 3 sides are A, B, and C, such that:

A < B < C

We will have:

A² + B² = C²

Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:

8² + 15² = 17²

289 = 289

That equationis true, thus, these 3 lengths make a right triangle.

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Before the new carpet is installed, all
the walls and the ceiling will be painted
with primer. If one gallon of primer
covers 300 square feet, how many
gallons of primer will be needed?
44 ft
8 ft
32 ft

Answers

You would need to purchase 6 gallons of primer.

Given: KBWN is a parallelogram with diagonals KW and BN intersecting at point H.
Prove:

An incomplete flowchart proof is shown.

Answers

By ASA congruency triangle KBH is congruent to triangle NWH.

Given that, KBWN is a parallelogram with diagonals KW and BN intersecting at point H.

From the given figure,

Consider ΔKBH and ΔNWH,

∠KHB=∠NHW (Vertically opposite angles)

∠HKB=∠HWN (Interior alternate angles parallelogram)

KH=HW (Diagonals bisect each other)

By ASA congruency ΔKBH ≅ ΔNWH

Therefore, by ASA congruency triangle KBH is congruent to triangle NWH.

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On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the z-score of a person who scored 280 on the exam.
Answer:
Submit Answer
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attempt 1 out of 2

Answers

The z- score of a person who scored 280 on the exam can be found to be - 0. 5.

How to find the z - score ?

A z-score indicates how many standard deviations an element is from the mean.

The formula is:

Z = ( X - μ ) / σ

The details here are:

X = 280, μ = 300, and σ = 40

The z - score is therefore :

Z = (280 - 300) / 40

= -20 / 40

= -0.5

In conclusion, the z - score of a person who scored 280 on the exam is -0.5. This means that their score is half a standard deviation below the mean.

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A simple gable roof is to cover a span of 32 feet. If it is to have a 7:12 pitch, how tall will the ridgeline be above the house?​

Answers

The ridgeline will be 18.67 feet above the house.

What will be the height of the ridgeline above the house?

Generally, a height refers to the measurement of someone or something from head to foot or from base to top.

To find the height of the ridgeline, we will use the formula: Height = (Pitch / 12) * Span

Given data:

Pitch = 7

Span = 32 feet

Inputting the values, we have:

Height = (7 / 12) * 32

Height = 0.5833 * 32

Height = 18.6656

Height = 18.67 feet.

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The record low temperature in Fargo, ND is -35 degrees. The record high is 114 degrees. What is the difference in the record high and the record low temperatures?

Answers

The difference between the record high and low temperatures is 149 degrees.

What is the difference between the temperatures?

A negative number is a number that is less than zero. A negative number usually has a minus sign in front of it. An example of a negative number is -35. A positive number is a number that is greater than zero. An example of a positive number is 10.

In order to find the difference between two or more numbers, subtract the numbers from each other.

Difference between the temperature = record high temperature - record low temperature

114 - -35

114 + 35 = 149 degrees

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What is the ratio for 3 rectangles and 4 ovals in its simplest form?

Answers

The ratios for the rectangles and the ovals is 4 : 3

Calculating the ratios for the rectangles and the ovals

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

Rectangle = 4

Oval = 3

The ratio can be represented as

Ratio = Rectangle : Oval

When the given values are substituted in the above equation, we have the following equation

Rectangle : Oval = 4 : 3

The above ratio cannot be further simplified

This means that the ratio expression would remain as 4 : 3

Hence, the solution is 4 : 3

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Find the distance between (2, 5) and (-5, 8).
58
√58
2√43
2

Answers

Answer:

d = [tex]\sqrt{58}[/tex]

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, 5 ) and (x₂, y₂ ) = (- 5, 8 )

d = [tex]\sqrt{(-5-2)^2+(8-5)^2}[/tex]

   = [tex]\sqrt{(-7)^2+3^2}[/tex]

   = [tex]\sqrt{49+9}[/tex]

   = [tex]\sqrt{58}[/tex]

Which of the following is not the solution of system of inqualities
(1,0) (8,0). (0,4). (3,0)

Answers

The points (1,0) (8,0). and. (3,0) are not the solution of system of inqualities

How to deterine which is not the solution of system of inqualities

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

The graph

Also, we have the following ordered pairs

(1,0) (8,0). (0,4). (3,0)

From the graph, we have the following ordered pairs in the shaded region

(0, 4)

Other points (1,0) (8,0). and. (3,0) are not in the shaded region

This means that (1,0) (8,0). and. (3,0) are not the solution of system of inqualities

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I need help please guys

Answers

The solution is :

After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]

 

Here, we have,

The designated sum can replace either row. Consult your curriculum materials for the intent.

Here, we'll replace row 2 with the sum.

 3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)

After the row operation replaces the second row, the augmented matrix is ... [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]

Hence, The solution is :

After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]

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Can someone please answer and provide an explanation for these problems?

Answers

Answer:

50) Midpoint: (5.5, 0)

51) Midpoint:  (6, -8)

Step-by-step explanation:

We can find the midpoint between two points using the midpoint formula, which is m = (x1 + x2) / 2, (y1 + y2) / 2, where

m is the midpoint,(x1, y1) are one point,and (x2, y2) are another point

50) We can allow (10, 10) to be our (x1, y1) point and (1, -10) to be our (x2, y2) point:

x-coordinate of midpoint of (10, 10) and (1, -10):

(10 + 1) / 2

11 / 2

5.5

y-coordinate of midpoint of (10, 10) and (1, -10):

(10 + (-10)) / 2

(10 - 10) / 2

0 / 2

0

Thus, the midpoint of the line segment with the endpoints (10, 10) and (-1, 10) is (5.5, 0).

51) We can allow (3, -6) to be our (x1, y1) point and (9, -10) to be our (x2, y2) point:

x-coordinate of midpoint of (3, -6) and (9, -10):

(3 + 9) / 2

12 / 2

6

y-coordinate of midpoint of (3, -6) and (9, -10):

(-6 + -10) / 2

(-16) / 2

-8

Thus, the midpoint of the line segment with the endpoints (3, -6) and (9, -10) is (6, -8).

In the figure, what percentage of the circles are shaded?

Answers

25% because if 3/12 of the circles are shaded, that simplifies to 1/4. 1/4 is equal to 25%

Answer: E. 25%

Step-by-step explanation: There are 12 circles in total. 3 out of those twelve are shaded in, making it in fraction form 3/12. dividing both the numerator in the denominator by 3 simplifies it into 1/4. which is subsequently, 25%

Other Questions
Consider Carmens plans.Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.Carmen used her knowledge of angle relationships to find the value of x in the diagram.What is the value of x?x = 5x = 9x = 13x = 16 If a well is dug at -60 feet per day. How many days did it take to dig -5400 feet?(Answer numerically ex: 30 Days answer = 30) The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height. Danielle is designing a system to help race cars slow safely and rapidly at her local racetrack. The racetrack is a straight, 1,000-meter stretch of asphalt. Half of the track is devoted to races and the other half is designed to let cars decelerate after crossing the finish line.Danielle has designed a pair of small parachutes that are automatically released out the back of a car once it crosses the finish line. When her system works properly, the race car driver does not need to apply the brakes to bring the car to a stop before running out of track.When Danielle tests a prototype of her design, it brings a race car to a stop 275 meters behind the finish line. After taking some measurements, she decides that her design causes the driver to experience too much force. To correct this, she could A. make the parachutes larger in order to increase the drag forces on the car and bring it to a stop 200 meters after crossing the finish line. B. add a third parachute in order to increase the drag forces on the car and bring it to a stop 175 meters after crossing the finish line. C. make the parachutes smaller in order to decrease the drag forces on the car and bring it to a stop 400 meters after crossing the finish line. D. remove one of the parachutes in order to decrease the drag forces on the car and bring it to a stop 550 meters after crossing the finish line. 7/8+ (4/8-2/4) anybody know?? You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth. A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.Required:a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?d. What is the 95% confidence interval estimate of the difference between the two population proportion? What does the Parthenon mean? also, what does astrolabe mean One side, in inches, of a triangle is 5 more than twice a number. If this is an equilateraltriangle, what is the perimeter ? A fish tank, shaped as a cube, has a volume of 36 liters, or 2,197 in? What are the dimensions of the fish tank in inches? UseEach edge of the fish tank measuresin. Select the correct answer.An irregular parallelogram rotates 360 about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?A. 2B. 4C. 6D. 8 List 2 ways of how The Battle of Okinawa was similar to the Battle of Iwo Jima In his closing argument during the Hinckley assassination trial, defense attorney Vincent Fuller sald to the jury:"First is the spring of 1976 when John Hinckley Impulsively (goes) out, abruptly sells his automobile and goes to California to become a rock star or a song writer. Unrealistic, absolutelyunrealistic. He had not had one moment of training in music. And he believed he would come on the front of Hollywood and be an instant success. Needless to say, he was a total failure and itresulted in his depression, despair, and disappointment. He made another aborted effort, I believe in 1978, where the doctors testified he went to Nashville again with great expectations of beinga rock star. Once again his hopes were dashed, because, obviously, these were unrealistic goals. Whether at that point in time they are psychotic, obviously we are not qualified to address that.You should consider that, though, in your deliberations."Evaluate Fuller's argument in terms of logos, pathos, and ethos. Use evidence from the statement to support your answer. Your response should be a minimum of five sentences. (25 points) What happened in Europe in the late 1800?Fill in the blanks to explain In the late 1800s some people became interested in the ancient______.So a few countries hosted_______. (Europeans,Olympians,medals,small competition, Roaring crowds, worldwide events) Write an inequality relating m Why is Odysseus the only one of his crew who lives through all struggles of the journey? What psychological weaknesses does Odysseus show during his journey? Is Odysseus' revenge on the men of Ithaca who occupied his home justified? Does every man deserve severe punishment? Why was the discovery of the Behistun Rock so important? PLEASE HELP I WILL GIVE BRAINLESIT Find the area of the regular polygon. Round to the nearest tenth. What are some agents of mutation that can affect the genes of humans? (Choose all that apply)failure of repair by ligasecodon errorspoor nutritionionizing radiation