please help i’m stuck on my geometry hw. :(

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Answer:

no solution

Step-by-step explanation:

3x - 7x - 16 = -4x + 5 - 16

combine like terms

-4x - 16 = -4x - 11

move the terms with variables to one side and constants to the other

add 4x to move it

-4x + 4x = 0

-16 = - 11

this is not possible so there is no solution

Answer:

0=5

Step-by-step explanation:

3x - 7x - 4x + 5 - 16

-4x - 16 = -4x + 5 -16

-4x - 16 = -4x -11

-4x -16 + 16 = -4x - 11 + 16

-4x = -4x + 5

-4x + -4x = -4x + 5 + 4x

combine like terms

repeat that

0 = 5

please correct me if I'm wrong

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The quotient of the division using the long division rule is 4x^2 - x + 3

Polynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.

Dividend = 4x³+ 11x2 +9

Divisor = x + 3

Using the synthetic division to determine the quotient

        4x^2 - x + 3

x+3 | 4x³+ 11x2 +9

        4x³ + 12x²

__________________

               -x² + 0x

               -x² - 3x

___________________

                       3x+9

                       3x+9

___________________

                       -------

Hence the quotient of the division using the long division rule is 4x^2 - x + 3

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The measure of the height of the triangle is 3 / 8 units.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the triangle has sides, 3 / 4 cm, 1 cm, and 5 / 4 cm.

The angle of the triangle is,

tanθ = ( 1 ) / ( 3 / 4 )

tanθ = 1.33

θ = 53.6°

The height will be,

h = ( 3 / 4 ) x sin53.4

h = 0.6

h = 4 / 5 cm

Therefore, the measure of the height of the triangle is 3 / 8 units.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

The regular cost of each ticket is $30

Step-by-step explanation:

Hi,

You and three friends means there was a total of 4 people. Your equation is...

4x - 20 = 100

Remember to add the -20 since there was a coupon that saved you $20.

Now solve...

4x - 20 = 100

+ 20 on both sides

4x = 120

Divide by 4 on both sides

x = 30

The regular cost of each ticket is $30

Hope this helps :)

Answer:

e it's  really first question re  want to make this

each ticket would be $25  a regular

Step-by-step explanation:

9514 1404 393

Answer:

  1/10

Step-by-step explanation:

The product of fractions is the product of the numerators, divided by the product of the denominators.

  \(\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}\)

__

Additional comment

When working with fractions and percentages, you will find that "of" often means "times."

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer:

square side = 57

hexagon side = 38

Step-by-step explanation:

x = side length of square

y = side length of hexagon

x = y + 19

4x = 6y

substitute for x:

4(y + 19) = 6y

4y + 76 = 6y

subtract 4y from each side of the equation:

2y = 76

divide both sides by 2:

y = 38

x = 57

Answer:

Hi there,

Make the side of the hexagon = x

Side of square = x + 12

Both figures have the same perimeters.

4(x + 14) = 6x

4x + 56 = 6x

Collect like terms:

6x - 4x = 56

2x = 56

x = 28

Length of hexagon side = 28 feet

Length of square side = 42 feet

Hope this helps :-)

Corporates usually issue bonds dollar-denominated as well as sell them to investors based outside of the U.S throughout the Eurobond market.

Thus the above solution is correct.

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Answer:

(x+6)^2+(y-5)^2 = 3.1622^2

Step-by-step explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2

Answer:

\(x = 4\)

Step-by-step explanation:

\(5x + 2 = 22\)

\(5x = 20\)

\(x = 4\)

\(\small\bold{5x + 2 = 22 }\)

Subtract 2 from 22 :

\(\small\bold{ 5x + 2 = 22}\)

\(\small\bold{5x = 22 - 2 }\)

Simplify :

\(\small\bold{5x = 20 }\)

Now , Divide 5x by 20 :

\(\small\bold{ \frac{5x}{20}}\)

\(\small\bold{x = 4 }\)

Answer:

6x+1

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

(x+8)*8=(3x-2)*3

8x+64=9x-6

x=70

Answer:

y=-x+10

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept. To solve plugin the values for the corresponding variables. It has a slope of -1 and a y-intercept of 10.

Oh there is a free grid sheet that you can put there

Step-by-step explanation:

Search it up and the website will appear where it will give you pretty much all of the information about it

Answer:

Step-by-step explanation:

We first examine a simple hidden Markov model (HMM). We observe a sequence of rolls of a four-sided die at an "occasionally dishonest casino", where at time t the observed outcome x_t Element {1, 2, 3, 4}. At each of these times, the casino can be in one of two states z_t Element {1, 2}. When z_t = 1 the casino uses a fair die, while when z_t = 2 the die is biased so that rolling a 1 is more likely. In particular: p (x_t = 1 | z_t = 1) = p (x_t = 2 | z_t = 1) = p (x_t = 3 | z_t = 2) = p (x_t = 4 | z_t = 1) = 0.25, p (X_t = 1 | z_t = 2) = 0.7, p (X_t = 2 | z_t = 2) = p (X_t = 3 | z_t = 2) = p (X_t = 4 | z_t = 2) = 0.1. Assume that the casino has an equal probability of starting in either state at time t = 1, so that p (z1 = 1) = p (z1 = 2) = 0.5. The casino usually uses the same die for multiple iterations, but occasionally switches states according to the following probabilities: p (z_t + 1 = 1 | z_t = 1) = 0.8, p (z_t = 2) = 0.9. The other transition probabilities you will need are the complements of these. a. Under the HMM generative model, what is p (z1 = z2 = z3), the probability that the same die is used for the first three rolls? b. Suppose that we observe the first two rolls. What is p (z1 = 1 | x1 = 2, x2 = 4), the probability that the casino used the fair die in the first roll? c. Using the backward algorithm, compute the probability that we observe the sequence x1 = 2, x2 = 3, x3 = 3, x4 = 3 and x5 = 1. Show your work (i.e., show each of your belief for based on time). Consider the final distribution at time t = 6 for both p (z_t = 1) = p (z_t = 2) = 1.

ANSWER:

Let say we have that the first state of the die is state 1. Therefore the probability of this is p(z1=1)=0.5.

Also the probability that the same die is used(i.e. casino would be in the same state) is p(z2=1|z1=1)=0.8.

Again, suppose the first state of the die is state 2. So, p(z1=2)=0.5 and p(z2=2|z1=2)=0.9.

Other transition probabilities can be written as

p(zt+1=2|zt=1)=1-p(zt+1=1|zt=1)=.2

p(zt+1=1|zt=2)=1-p(zt+1=2|zt=2)=.1

p(z3=1|z1=1) = [p(z3=1|z2=2)*p(z2=2|z1=1)]+[p(z3=1|z2=1)*p(z2=1|z1=1)] = 0.1*0.2+0.8*0.8 = 0.66

p(z3=2|z1=2) = [p(z3=2|z2=2)*p(z2=2|z1=2)]+[p(z3=2|z2=1)*p(z2=1|z1=2)] = 0.9*0.9+0.2*0.1 = 0.83

With this, the total probability that the same die is used for the first three rolls (i.e. casino would be in the same state) is  given thus;

{p(z1=1)*p(z3=1|z1=1)}*{p(z1=2)*p(z3=2|z1=2)}

=  0.5*0.66+0.5*0.83 = 0.745

Prob = 0.745

Answer:  The expected value is 1/6 * 1/2 * 1/3 = 1/36  the standard deviation of 1/36 = 99.7% = 1/36 * 0.997 = 0.0276944444

The mean playing twice = 1/9 =0.111111111

Step-by-step explanation:

to win $10 in one throw = 1/6   to win $1   in one throw =  2/6  and to lose is 1/2  so we have 3 probabilities  and 3(3)= 9 probability combinations = 1/2 to lose  1/3 to win $2  and 1/6 to win $10  playing twice = 1/6 * 1/6 = 1/36  or 1/6* 1/2= 1/12 or 1/6 * 1/3 = 1/18  or 1/2 * 1/2 = 1/4  or 1/2 * 1/6 = 1/12 or 1/2 * 1/3 = 1/6  or 1/3 * 1/3 = 1/9 or 1/3 * 1/2 = 1/6 or 1/3 * 1/6 = 1/18    we write a list  1/36+1/12+1/18+1/4+1/12+1/6+1/9+1/6+1/18  /9 = 34/36 + 2/36 = 36/36 = 1   and 1/9 =0.111111111

Answer:

Step-by-step explanation:

a) Probability-Above 30 min = 5.72% = .0572

b) Probability-Above 15 min =  99.11% = .9911

c) *Probability-Between  1 - 59.49% = .4051

d) 19.136 minutes  z = -1.28

a) The probability that trip will take at least 1/2 hour will be 0.0606.

b) The percentage of time the lawyer is late for work will be 99.18%.

c) The probability that lawyer misses coffee will be 0.3659.

d) The length of time above which we find the slowest 10​% of trips will be 0.5438.

e) The probability that exactly 2 out of 3 trips will take at least one half

1/2 hour is 0.0103.

What do you mean by normal distribution ?

A probability distribution known as a "normal distribution" shows that data are more likely to occur when they are close to the mean than when they are far from the mean.

Let assume the time taken for a one way trip be x .

x ⇒ N( μ , σ ²)

x  ⇒ N( 24 , 3.8 ²)

a)

The probability that trip will take at least 1/2 hour or 30 minutes will be :

P ( x ≥ 30)

= P [ (x - μ) / σ ≥ (30 - μ) / σ ]

We know that , (x - μ) / σ = z.

= P [ z ≥ (30 - 24) / 3.8)]

= P [ z ≥ 1.578 ]

= 1 - P [  z ≤ 1.578 ]

Now , using the standard normal table :

P ( x ≥ 30)

= 1 - 0.9394

= 0.0606

b)

The percentage of the time the lawyer is late for work will be :

P ( x  ≥ 15)

= P [ z ≥ -2.368 ]

= P [  z ≤ 2.368]

= 0.9918

or

99.18%

c)

The probability that lawyer misses coffee :

P ( 15 < x < 25 ) = P ( x < 25 ) - P ( x < 15)

= P [  z < 0.263] - P ( z < -2.368)

or

= 0.3659

d)

The length of time above which we find the slowest 10​% of trips :

P( x ≥ X ) ≤ 0.10

=  0.5438

e)

Let's assume that y represents the number of trips that takes at least half hour.

y ⇒ B ( n , p)

y ⇒ B ( 3 , 0.0606)

So , the probability that exactly 2 out of 3 trips will take at least one half

1/2 hour is :

P ( Y = 2 )

= 3C2 × (0.0606)² × ( 1 - 0.0606)

= 0.0103

Therefore , the answers are :

a) The probability that trip will take at least 1/2 hour will be 0.0606.

b) The percentage of time the lawyer is late for work will be 99.18%.

c) The probability that lawyer misses coffee will be 0.3659.

d) The length of time above which we find the slowest 10​% of trips will be 0.5438.

e) The probability that exactly 2 out of 3 trips will take at least one half

1/2 hour is 0.0103.

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Answer:

The slope is 1.5x.

Step-by-step explanation:

For this question, we will use the slope formula.

\(\frac{y^2-y^1}{x^2-x^1}= \frac{8-5}{3-1}=\frac{3}{2} =1.5\)

Hence, the slope is 1.5x.

Also, the equation is f(x)=1.5x+3.5.

The one-digit integers that satisfy the inequality "k < 0" are:

-1, -2, -3

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

k < 0

A number line representation of the inequality "k < 0" is as follows:

-3 -2 -1 0 1 2 3

---------<----------

The inequality k < 0 represent all the numbers less than 0 on the number line.

This includes all negative one-digit integers, which are -1, -2, and -3.

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Answer:

Step-by-step explanation:

a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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Answer:

16

Step-by-step explanation:

x=56*2/7

Answer:

x = 16

Step-by-step explanation:

\(\frac{7}{2} = \frac{56}{x}\)

cross multiplying

7*x = 56*2

now placing 7 to the right hand side

x = \(\frac{112}{7}\)

x=16

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2