Eve play baketball. She make 4 free throw for every 3 free throw that he mie. If he mied 27 free throw at her lat practice, how many free throw did he make?

Answers

Answer 1

Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.

Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.

There are several ways to score 3 of the 4 free throws.

Miss Hit Hit Hit

Hit Miss Hit Hit

Hit Hit Hit Hit Hit

So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.

Hence, Eve had to make 42 free throws for getting 27 throws are mied.

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Related Questions

The amusement park is open from 10:00 A.M. to 6:00 P.M. How many hours could a visitor spend at the amusement park in one day?

write a equation or inequality ​

Answers

the park is open for 8 hours.

10% more than 4 is what​

Answers

Answer: 4.4

Step-by-step explanation:

First, know that 10% is equal to 0.1. Calculate 10% of 4 and add that to 4 to find the final value:

[tex]4+4*0.1=4+0.4=4.4[/tex]

Answer: 14

Step-by-step explanation:

What is 10 more than 4 We are looking for a new number which is 10 more than 4 We will get the new number by adding 10 to 4 We write it down as: 4+10=14

simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2

Answers

In the simplified expression, the coefficient of the term b² is -1.

Order to solve Math Operations

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

      Parentheses       Exponents       Multiplication or Division from left to right       Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

Remove the Parentheses

       4a² +2ab -2a² +ab - b²

Add similar terms

       2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by  the expression  2a²+3ab-b².

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Sports Over the course of his career in major league baseball, Willie Mays hit 58 more than double the number of home runs Roger hit. How many home runs did Mays hit?​

I AM IN MIDDLE SCHOOL
thx

Answers

Runs scored by Willie Mays is given by the linear equation y = 2x+58.

What is a linear equation?

A linear equation is an algebraic equation which is in the form y=mx+b, where m is said to be the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are x and y, and it is commonly referred to as a "linear equation of two variables."

Let the runs scored by Roger be x.

According to the question, Willie Mays hit 58 more than double the number of home runs Roger hit.

Runs scored by Willie Mays = 2x+58

Let the runs scored by Willie May be y.

Then, y = 2x+58.

Hence, the runs scored by Willie Mays is given by the linear equation
y = 2x+58.

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what's the answer of this please say

Answers

Answer:

Below

Step-by-step explanation:

See diagram below....you are looking for 'x' in the right triangle

Use Pythagorean Theorem :

5^2 + x^2 = 13 ^2

x ^2 = 13^2 - 5^2

x ^2 = 144

x = 12 m

A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle won't need a fence. What dimensions will maximize the area of the pen? Find length and width.

Answers

the length will be 30 ft and the width will be 20 ft.

There are 10 factory managers. Eighty percent of employees are not managers. How many employees does the factory have?

Answers

50 employees.
80% of 50=40 leaving the remaining 10 to be the factory managers.


Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.171717.... what
fraction?
1. x = 17/99
2. 99x = 17
3. x=0.171717
4. subtract (x=0.171717…..)
5. 100x=17.1717……

Answers

To write our number as a fraction, the order of the steps is:

step 3.step 5.step 4.step 2.step 1.How to write the repeating decimal as a fraction?

First, we define our number:

x = 0.1717...

So we start with the step 3.

Now notice that there are two repeating decimals, so we need to multiply both sides by 100 (as many zeros as repeating decimals)

100*x = 10*0.1717... = 17.1717...

This is step 5.

Now we can subtract the original number in both sides so we remove the repeating decimals:

100*x - 0.1717... = 17.1717... - 0.1717...

99*x = 17

These are steps 4 and 2.

Finally, we divide both sides by 99 to get:

x = 17/99

Which is step 1.

And that is our number written as a fraction.

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Here is a diagram of a pentagon.
Calculate the size of angle x
115°
100°
104°
x

Answers

Answer:

319 would be the sum

Step-by-step explanation:

Solve five-ninths minus two-sixths equals my answers are 8/36 20/54 6/3 3/1

Answers

I think it is 2/9ths? Look it up on a calculator to check

5/9 - 2/6
LCM = 18
10/18 - 6/18 = 4/18

Answer = 4/18
8/36 = 4/18
4/18 = 2/9

Simplified answer = 2/9

Rewrite the equation so that it does not have fractions, without using decimals (please answer quickly)

Answers

Answer:

should be
38 = 9x

Step-by-step explanation

multiply both sides with the least common denominator of the denominator of the fraction (the number below the line).
of the numbers 4 and 6, the least common denominator is 12.
so multiply both sides of the equation by 12.
you will have
12 * (4 - 3/4 x) = 12 * 5/6
simplify and you will get
48 - 9 x = 10

and you can even more simplify it to 9x = 38 or 38 = 9x

Multiply through by 12 to clear the fractions
48 _ 9x = 10

Given the function f(x)=3x+1
Evaluate f(-7)=?
f(?)=-17

Answers

F(-7) = -20
F()=-17

Let w be the vector with initial point (2,0) and terminal point (3,2). Let v be the vector with initial point (2,2) and terminal point (0,I). Find the sum of these vectors: w+v. A. (3.5) B. (5.3 С. (-1,1 D. (LI) F. None of these

Answers

The vectors combined sum is equal to (-1, 1)

Given data;

Let 'w' be the vector with an initial point (2,0) and terminal point (3,2).

Let 'v' be the vector with the initial point (2,2) and terminal point (0,1).

To find the sum of two vectors, firstly;

For 'w';

w = (3 - 2)i + (2 - 0)j

w = i + 2j → (I)

For 'v';

v = (0 - 2)i + (1 - 2)j

v = -2i + j → (II)

Now,

From (I) & (II);

w + v = (i + 2j) + (-2i + j)

        = -1, 1

Hence, the sum of the vectors w + v = (-1, 1)

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A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function C(x)=0.9x^2 - 414x + 59,366. What is the minimum unit cost? Do not round your answer.

Answers

The minimum unit cost of the car is $12232.1

How to determine the minimum unit cost?

Given: cost function C(x)=0.9x² - 414x + 59,366

In order to find the minimum point, take the derivative of the cost function:

dC/dx = 2x - 414          (equate to zero and solve for x)

2x - 414 = 0                

2x = 414

x = 414/2 = 207

Thus, the minimum point is at x =207

The minimum unit cost can be obtained by substituting x = 207 into the cost equation:

C(x) = 0.9x² - 414x + 59,366

C(207) = 0.9(207)² - 414(207) +  59,366

          = 38564.1 - 85698 + 59,366

           = $12232.1

Therefore, the minimum unit cost is $12232.1

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find the measure of each missing angle. a//b PLSS HELP

Answers

The measure of each of the missing angles is m<1 = 40°, m<2 = 61°, m<3 = 119°, m<4 = 61°, m<5 = 58°, m<6 = 122°, m<7 = 58°, m<8 = 82° and m<9 = 98°

How to determine the measure of each missing angle?

To solve this problem, we need some angle geometry knowledge:

Since the sum of angles on a straight is 180°. Thus:

m<1 + 82° + 58° = 180°

m<1 = 180° -82° - 58° = 40°

The sum of angles on a triangle is 180°:

m<2 + 58° + 61° = 180°

m<2 = 180° - 58° - 61° = 61°

m<2 + m<3 = 180° (angles on a straight )

61°+ m<3 = 180°

m<3 = 180°-61° = 119°

m<4 = m<2 = 61° (alternate angles)

m<5 + m<4 + 61 = 180° (angles on a straight )

m<5 + 61° + 61 = 180°

m<5 = 180°- 61°-61° = 58°

m<5 + m<6 =  180° (angles on a straight )

58°+ m<6 =  180°

m<6 =  180°-58° = 122°

m<7 =  58°  (alternate angles)

m<1 + m<7 +m<8 = 180° (angles on a triangle )

40+58°+m<8 = 180°

m<8 = 180°-40-58° = 82°

m<8+m<9 = 180° (angles on a straight )

82+m<9 = 180°

m<9 = 180°-82° = 98°

The measure of the missing angles m<1, m<2, m<3, m<4, m<5°, m<6, m<7, m<8 and m<9 are 40°, 61°, 119°, 61°, 58°, 122°, 58°, 82° and 98° respectively

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im so confused please help :(


Brianna and Gavin used partial quotients to show 552 divided by 23


Briannas work:

Step 1: Subtract (20×23) from 552 to get 92.

Step 2: Subtract (4×23) from 92 to get 0.

Step 3: Add partial quotients.



Gavins work:

Step 1: Subtract (10×23) from 552 to get 322.

Step 2: Subtract (10×23) from 322 to get 92.

Step 3: Subtract (2×23) from 92 to get 46.

Step 4: Subtract (2×23) from 46 to get 0.

Step 5: Add the partial quotients.



Which student(s) correctly calculated the quotient? Explain your answer

Answers

Answer:

Both are correct. Gavin just took more steps to get his answer.

Step-by-step explanation:

Briana's work:

20x23=460

522-460=92

4x23=92

92-92=0

24x23=552

Gavin's work:

10 x 23=230

552-230=322

10x23=230

322-230=92

2x23=46

92-46=46

46-46=0

24x23=552.

Hope this helps :)

Find the equation of a line parallel to -2y = 4 - 2x that passes through the point
(-5,9).
y=x-2
y=-x+14
2x + 2y = 8
2x - 2y = -28

Answers

(E) None of these equations of a line is parallel to the equation [-2y = 4 - 2x] and passes through the point (-5. 9).

What is the equation of a 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.

So, first plot the equation [-2y = 4 - 2x] on the graph:

Now, plot all the equations on the graph.

We can now check which equation is parallel to [-2y = 4 - 2x] and passing through the point (-5. 9).

According to the plotting, we can say that no equation is parallel to the equation [-2y = 4 - 2x] and passes through the point (-5. 9).

Therefore, (E) none of these equations of a line is parallel to the equation [-2y = 4 - 2x] and passes through the point (-5. 9).

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Complete question:

Find the equation of a line parallel to -2y = 4 - 2x that passes through the point.

(-5,9).

A. y=x-2

B. y=-x+14

C. 2x + 2y = 8

D. 2x - 2y = -28

E. None of these

Identity the domain and the range of each function

Answers

a) Domain={2,3,4,5,6}, Range={0,1,2,3,4}

b)Domain={-3,-1,1,3,4}, Range={1,3,-2,2,6}

What are the domain and range of a function?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

a) Domain is the set of x values:

 x={2,3,4,5,6}

 The range is the set of y values:

  y={0,1,2,3,4}

b) Domain is the set of x values:

 x={-3,-1,1,3,4}

 The range is the set of y values:

  y={1,3,-2,2,6}

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another advantage of using anova is that it ________ so the significant differences can be located and interpreted easily.

Answers

Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.

The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.

Another important part of the ANOVA is the splitting of the independent variables into two or more groups.

The assumptions for the ANOVA test are the same as those for general parametric tests.

ANOVA can only be performed if there is no relationship between subjects in each sample. Sample size for different groups/levels must be the same.ANOVA can only be performed if the dependent variable is normally distributed.the population variances of must be equal (that is, homoscedasticity). Homogeneity of variance means that the variability of results is similar across populations.

Advantages of ANOVA:

The z-test can only be used to compare two population means, whereas the ANOVA test can be used to compare three or more population means.When there are two different treatments/factors affecting the dependent variable, the Two Way ANOVA test can be used to analyze the effect of each treatment.

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relative humidity is a measure, expressed as a percentage, of the amount of water vapor present in air. the following histogram summarizes the relative humidity, at noon, for a random sample of 100 days for a certain city. based on the histogram, which of the following is the best description of the distribution?

Answers

The relative humidity is a measure the average amount of vapor in the air and the random sample of 100 days refers the distribution displays a gap with a potential outlier located between 40% and 45%.

Average:

Basically, the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set is known as an average.

Given

Relative humidity is a measure, expressed as a percentage, of the amount of water vapor present in air. the following histogram summarizes the relative humidity, at noon, for a random sample of 100 days for a certain city.

Here we need to find the best description of the distribution

Basically, the relative humidity is a variable expressed as a percentage that represents the amount of water vapor present in air. It can be  is used to monitor and predict weather conditions, and it is calculated based on the temperature of the air.

And it is also independent of temperature because a high temperature can have low relative humidity and vice-versa.

While we looking into the given question, there are no observed data values between 45% relative humidity and 55% relative humidity, so there is a gap displayed in the distribution.

Therefore, the value located between 40% and 45% is unusually small when compared with the other data values. And this point are known as outliers that are used to test that it is an outlier would require using the 1.5×IQR rule or using the two standard deviations rule.

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Ron wins £1 1/4 million. He gives 3/5 million to his daughter and £1/3 million to his wife. How much does he have left?​

Answers

Answer:

0.31

Step-by-step explanation:

1 1/4 - 1/3 - 3/5 = 19/60

≅ 0.3166667

Find the exact value of CSC(COS^-1(-5/8))

Answers

The exact value of CSC(COS^-1(-5/8)) is 8/[tex]\sqrt{39}[/tex].

Given:

= CSC(COS^-1(-5/8))

= 1/sin(cos^-1(-5/8)

we know identity sin(cos^-1(x)) = [tex]\sqrt{1-x^{2} }[/tex]

= 1/[tex]\sqrt{1-(-5/8)^{2} }[/tex]

= 1/[tex]\sqrt{64-25/64 }[/tex]

= 1/[tex]\sqrt{39}[/tex]/8

= 8/[tex]\sqrt{39}[/tex].

Therefore the value of CSC(COS^-1(-5/8)) is 8/[tex]\sqrt{39}[/tex].

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Factor the following expression using the common factor -3 −9z−21y−2.4

Answers

The factorization of the expression is -3(1+3z+7y+0.8)

What is factorization?

Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor a number means to break it up into numbers that can be multiplied to get the original number.

in the expression, -3 −9z−21y−2.4, it is discovered that -3 is a common factor in all the terms.

Therefore dividing all the terms by -3 and bring -3 out of parentheses we have -3(1+3z+7y+0.8)

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Yusuf sat 8 examinations.
Here are his marks for 5 of the examinations.
68 72 75 77 80
For his results in all 8 examinations
the mode of his marks is 80
the median of his marks is 74
the range of his marks is 16
Find Yusuf’s marks for each of the other 3 examinations.

Answers

Yusuf remaining observations, considering the statistical measures, are given as follows:

64, 73, 80.

What are the statistical measures in this problem?

There are four statistical measures used in this problem, which are:

Median.Mode.Range.

The mode is the observation that appears the most times, hence one of the remaining observations is of 80.

The median is the middle value of the data-set, which is the value of which 50% of the measures are less than and 50% of the measures are greater than.

In this problem, the data-set has an even cardinality, hence the median is the mean of the 4th and of the 5th element, hence, considering the median of 74, the missing element is given as follows:

(x + 75)/2 = 74.

x + 75 = 148

x = 73.

The range is the difference between the largest value and the smallest value in the data-set.

Considering the range of 16 and the highest value of 80, the remaining value is given as follows:

80 - x = 16

x = 80 - 16

x = 64.

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This morning, Ravi's car had 15.04 gallons of fuel. Now, 4.9 gallons are left. How much fuel did Ravi use?
gallons

Answers

Answer:

10.49

Step-by-step explanation:

We should solve this by subtracting the total amount of fuel minus the gallons left to find the gallons used.

In other words:

Subtract the total amount of fuel minus the gallons left

[tex]15.04 -4.9[/tex]

Answer:

[tex]10.49[/tex]

I hope this answers your question :)

Note: Make sure you line up the decimal places!!

A bell-shaped curve that results from a large group of measurements is the basic concept of?

Answers

Normal Distribution or central tendency is a bell-shaped curve that is produced by many measurements.

The graphical representation of a normal probability distribution, whose underlying standard deviations from the mean form the curved bell shape, is referred to as having a "bell curve." The variability of data dispersion, in a set of provided values around the mean, is measured using a standard deviation. The highest point on the bell curve is the mean, which is the average of all the data points in the data set or sequence.

A bell-shaped normal distribution graph is referred to as a bell curve.

At the peak of the curve, the mean, mode, and median of the collected data are shown.

The standard deviation of the bell curve reveals how pronounced the bell curve is around the mean.

Bell curves (normal distributions) are extensively used in statistics, particularly when analyzing financial and economic data.

Hence Normal Distribution is the basic concept of bell shaped curve.

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One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?.

Answers

For the quadratic equation other solution is given by :

x = 4-5i  other solution is x = 4 + 5i

x= 5 + 4i other solution is x = 5 -4i

x = -5 -4i other solution is x = -5 + 4i

x = -4 + 5i other solution is x = -4 -5i

As given in the question,

Number of quadratic equations mentioned = 4

Given one solution for each quadratic equation is given by:

x = 4-5i

x= 5 + 4i

x = -5 -4i

x = -4 + 5i

In standard form:

if the one of the solution of quadratic equation is in complex form x + iy then other solution is given by its conjugate x - iy.

Hence,

Other solution are given by :

x = 4-5i  other solution is given by its conjugate x = 4 + 5i

x= 5 + 4i other solution is given by its conjugate x = 5 -4i

x = -5 -4i other solution is given by its conjugate x = -5 + 4i

x = -4 + 5i other solution is given by its conjugate x = -4 -5i

Therefore, for the quadratic equation other solution is given by :

x = 4-5i  other solution is x = 4 + 5i

x= 5 + 4i other solution is x = 5 -4i

x = -5 -4i other solution is x = -5 + 4i

x = -4 + 5i other solution is x = -4 -5i

The complete question is:

One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?.

x = 4-5i

x= 5 + 4i

x = -5 -4i

x = -4 + 5i

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2 1/4+2/5÷(−1/2)−1/4

Answers

Answer:

i believe its 1.2

Step-by-step explanation:

hopethishelpsya:)

The answer is 6/5.

When the numerator is always higher than or equal to the denominator, the fraction is said to be an improper fraction.  When a fraction contains a whole number and a proper fraction is said to be a mixed fraction.

Write the given equation with mixed fraction to an improper fraction,

[tex]2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}=\frac{9}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}[/tex]

When we divide a fraction, we convert division into multiplication by turning the fraction upside down. Here, we convert the division sign before (-1/2) into multiplication by changing this fraction upside down as (-2/1).

Therefore,

[tex]2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}=\frac{9}{4}+\left(\frac{2}{5}\times\left(\frac{-2}{1}\right)\right)-\frac{1}{4}[/tex]

Now using the BODMAS rule, solve the bracket first. Followed by multiplication, addition, and subtraction.

[tex]\begin{aligned}2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}&=\frac{9}{4}-{\frac{4}{5}-\frac{1}{4}\\&=\frac{8}{4}-\frac{4}{5}\\&=\frac{40-16}{20}\\&=\frac{24}{20}\\&=\frac{6}{5}\end{aligned}[/tex]

Therefore, the answer is 6/5.

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The complete question is -

Simply the given expression 2 1/4+2/5÷(−1/2)−1/4

Look at the table below what’s the value of k

Answers

Answer:

k = 5

Step-by-step explanation:

substitute the values of x into 3x + k and equate with the corresponding value, that is

x = 1

3(1) + k = 8

3 + k = 8 ( subtract 3 from both sides )

k = 5

x = 3

3(3) + k = 14

9 + k = 14 ( subtract 9 from both sides )

k = 5

x = 5

3(5) + k = 20

15 + k = 20 ( subtract 15 from both sides )

k = 5

the value of k is therefore 5

through (3,3) perp to y=-3/8x+4

NEED HELP

Answers

By using the equation of the line and the perpendicular line relationship, the equation of the perpendicular line y = (8 / 3) · x - 5

How to determine the equation of a line perpendicular to another line

Mathematically speaking, lines are represented by equations of the form:

y = m · x + b

Where:

x - Independent variabley - Dependent variablem - Slopeb - y-Intercept

And two lines perpendicular to each other observe the following relationship:

m · m' = - 1

Where:

m - Slope of the original line.m' - Slope of the perpendicular line.

First, determine the slope of the perpendicular line by perpendicular line relationship:

m = - 3 / 8

m' = - 1 / (- 3 / 8)

m' = 8 / 3

Second, calculate the intercept of perpendicular line by the equation of the line:

b = y - m · x

b = 3 - (8 / 3) · 3

b = 3 - 8

b = - 5

Third, write the equation of the perpendicular line:

y = (8 / 3) · x - 5

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The story of The Cask of Amontillado is told from the first person perspective. How reliable/ unreliable do you believe the narrator is? Are there any ways that the narrator might be manipulating the truth? Use examples from the text to support your choice. which of the following is not a function of cartilage? cartilage serves as levers for movement by skeletal muscle. cartilage provides support for soft tissue. cartilage forms the initial model in endochondral ossification. cartilage provides a smooth gliding surface at the end of bones in freely movable joints. Choose one story element from "To Build a Fire". Explain what the story element is and how it helped you better understand the story as a whole. Please use one piece of text evidence to support your point.Here are some possible options:MoodToneThemeSettingPoint of ViewWord Choice You need to consider the underlined segment to establish whether it is accurate.Black Duck can be used to make sure that all the open source libraries conform to your company's licensing criteria.Select `No adjustment required` if the underlined segment is accurate. If the underlined segment is inaccurate, select the accurate option.A. No adjustment required.B. MavenC. BambooD. CMAKE Who would be best to lead department of transportatonFictional included pluto is the furthest planet in our solar system and moves in an orbit at an average of 5900 million km from the sun. find this distance in standard form. A line intersects the points(8, -4) and (-6, 10).m = -1Write an equation in point-slope formusing the point (8, -4).-y + 4 = [?] (x Enter 17 Solve the inequality. Graph the solution. 4.2y -12.6 The solution is and then where it goes on thr number line I need help ASAPwhich country is your favorite?write 1 paragraph. optical brighteners are synthetic chemicals that make fabrics appear to glow in the presence of ultraviolet light. these optical brightening agents reacts with the yellowish color in the fabric and increases the reflection of blue light radiation. true false a painter leans a ladder against a vertical wall. the top of the ladder is 15 meters above the ground. when the bottom of the ladder is moved 3 meters farther away from the wall, the top of the ladder is 11 meters above the ground. what is the length of the ladder? round to the nearest hundredth of a meter. Word problem involving the Pythagorean TheoremA kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow. Find the length of the line. If necessary, round your answer to the nearesttenth.60fx 5 What is the first time after 1 PM at which the inute hand and hour hand of a clock point in exactly opposite directions? What is the central idea in the first paragraph of Roosevelts speech? X^2 - x - 6 simplified hello can you offer me a plan for my next presentation:Democracy in Africa and its problems in the moring the temputure starts out around 50 F As the day gose on the temperature rises first slowly then more quickly it stays constant for an hour before droping slowly select the graph that best represents this description Which of the following statements accurately summarizes research related to goal setting? a. Goals should be generally stated and have a positive tone. b. Commitment, ability, and resources are necessary for goals to be achieved. c. Goals can be useful on their own, and do not need to be part of a larger plan. d. Whether goals are achieved is not influenced feedback from a manager. Uncontrolled cellular division poses a serious risk to surrounding tissue because it. Which of the following statements about the relationship between an institution and the institution's irb(s) is correct?a. Institutional priorities take precedence over all IRB determinations.b. Department chairs can overturn an IRB disapproval.c. Officials of the institution may overturn an IRB disapproval.d. Officials of the institution may overrule an IRB approval.