Please help! Just Simplify the expression!

Please Help! Just Simplify The Expression!

Answers

Answer 1

1. Simplified Solution: [tex]a^9[/tex]

2. Simplified Solution: [tex]x^1^0[/tex]

3. Simplified Solution: [tex]1024a^1^0b^1^5[/tex]

4. Simplified Solution: [tex]x^2[/tex]

5. Simplified Solution: [tex]\frac{1}{x^3}[/tex]

6. Simplified Solution: [tex]1[/tex]

7. Simplified Solution: [tex]\frac{4a^6}{b^8}[/tex]

8. Simplified Solution: [tex]32768x^1^0[/tex]

9. Simplified Solution: [tex]\frac{1}{x^1^2y^2^1}[/tex]

10. Simplified Solution: [tex]x^1^4y^1^1[/tex]

11. Simplified Solution: [tex]-\frac{3}{x^4}[/tex]

12. Simplified Solution: [tex]\frac{xy^1^1}{4}[/tex]

13. Simplified Solution: [tex]x^7[/tex]

14. Simplified Solution: [tex]xy^2[/tex]

15. Simplified Solution: [tex]1[/tex]

16. Simplified Solution: [tex]\frac{1}{1000x^1^5y^9}[/tex]

17. Simplified Solution: [tex]\frac{y^3}{x^2}[/tex]

18. Simplified Solution: [tex]\frac{1}{16x^4y^1^0}[/tex]

19. Simplified Solution: [tex]\frac{xy^2}{3}[/tex]

20. Simplified Solution: [tex]-\frac{y^1^2}{9x^4}[/tex]

21.Simplified Solution: [tex]3x^2y^2[/tex]

____________________________________________________

Hope this helps! And good luck! :D


Related Questions

question content area top part 1 in a fraternity with 36 ​members, 18 take​ mathematics, 5 take both mathematics and art history​, and 8 take neither mathematics nor art history. how many take art history but not​ mathematics?

Answers

With the help of set relation and function the number of members taking art history  but not mathematics is 12

what is set ?

Sets are collections of clearly defined objects, relations show the connections between the elements of two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with an element in B.

solution:

Total members (A + B + C + D)= 38

                                       B + C = 18

                                              C = 5

                                              A = 8

Work from the end to the beginning:

A = 8

C = 5

B = 13          [from clues 3 and 2]

D = 12          [use clue 1 and above info]

Therefore, The member of taking art history  but not mathematics D = 12

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11. If two million is the dividend and two hundred is the LE divisor, what is the quotient? ​

Answers

Answer:

bacon sotda

Step-by-step explanation:

I remember thejnwnenenenensenenenejee

now use the binomial probability formular, calculate the probability of observint 4 heads in 10 coin flips. (1pt) is the estimated probability from exercise 1 close to the true proability? (1pt)

Answers

By using Binomial distribution of probability, it can be calculated that

Probability of getting 4 heads in 10 coin flips = [tex]\frac{105}{512}[/tex]

What is Binomial distribution of probability?

Binomial distribution of probability is a discrete probability distribution where the probability mass function is given by

P(X = x) = [tex]{n \choose x}p^xq^{n - x}[/tex]

Where p is the probability of success and q is the probability of failure.

Here, Binomial distribution of probability is used

n = 10

Probability of getting a head = [tex]\frac{1}{2}[/tex]

Probability of getting a tail = [tex]\frac{1}{2}[/tex]

Probability of getting 4 heads in 10 coin flips = [tex]{10 \choose 4}(\frac{1}{2})^4(\frac{1}{2})^{10 - 4}[/tex]

                                                                          = [tex]\frac{210}{1024}[/tex]

                                                                          = [tex]\frac{105}{512}[/tex]

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an inverted cylindrical cone, 44 ft deep and 22 ft across at the top, is being filled with water at a rate of 11 ft3/min. at what rate is the water rising in the tank when the depth of the water is:

Answers

The rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

Explain the term rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time.

The rate of change of volume is-

dV/dt = 11 ft3/min.

Volume of cylindrical cone = (1/3)πr²h

As we're trying to find dh/dt, we need to calculate the volume within terms of just one variable, h.

Diameter =  22 ft

Thus, radius is 11 ft

By using height and radius of a water in the tank, we may calculate h using similar ratios.

11/44 = r/h

1/4 = r/h

r= h/4

Put into volume;

V = (1/3)π(h/4)h²

V = (1/3)(π)h³ / (16)

dV/dt = [(1/3)(3)(π)(h)² / 16](dh/dt)

V = [(π)(h)² / 16](dh/dt)

Solve for (dh/dt) ;

dh/dt = (dV/dt)(16) / [((π)(h)²]

Now, the change in volume is dV/dt = 11 ft³/min

dh/dt = (11 ft³/min)(16) / [((π)(h)²]

For h = 1 ft,

dh/dt = (11 ft³/min)(16) / [((π)(1 ft)²]

dh/dt ≈ 56.05 ft/min

Thus, the rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

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How many 4-digit numbers can be formed if the number must be divisible by 2 and digits can be repeated?

Answers

Answer:

4500

Step-by-step explanation:

This can be solved in more than one way. One method is to use permutations and see which digits can appear how many times in which position in the possible list of even numbers between 1000 and 9999

However, I think approaching this from an arithmetic progression perspective is easier to explain.

An arithmetic progression or sequence is a sequence of numbers such that there is a common difference between consecutive numbers.

For example, 2, 4, 6, 8, 10... is an arithmetic sequence with a common difference.

Given the first term in the sequence, we can find the nth term using the formula:

[tex]a_n = a_0 + (n-1)\cdot d[/tex]

where
[tex]a_n[/tex] is the nth term,
[tex]a_0[/tex] is the first term
[tex]d[/tex] is the common difference

Treating the even numbers from 1000 to 9999 as an arithmetic sequence, we get the following:


[tex]a_0 = 1000[/tex]
[tex]a_n = 9998[/tex]  (since the last number has to be even
[tex]d = 2[/tex]

Let [tex]n[/tex] be the number of possible values

Plug this into the formula and solve for [tex]n[/tex]

9998 = 1000 + (n-1)2
9998 = 1000 + 2n - 2

9998 = 998 + 2n
9998-998 = 2n
9000 = 2n


Switch sides:

2n = 9000

Divide by 2 to get
n = 9000/2 or

n = 4500

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y = -5 x=3​

Answers

Answer:  Perpendicular

Reason:

y = -5 is horizontal

x = 3 is vertical

A horizontal line is always perpendicular to a vertical line. The two lines form a 90 degree angle.

there are 3 seniors and 15 juniors in mrs. gillis’s math class. three students are chosen at random from the class. a. what is the probability that the group consists of a senior and two juniors? b. if the group consists of a senior and two juniors, what is the probability that stephanie, a senior, and jan, a junior, are chosen?

Answers

a) is 0.386 and of b) is 0.017

What is Probability?

One use of probability theory is calculating the odds that experiments will succeed or fail. Probabilities can be used to determine, for example, the possibility of flipping a coin and obtaining heads or tails, or the likelihood of making a research error. Understanding the formula for estimating probabilities in equiprobable sample spaces, as well as the probabilities of the complementary event, etc., as well as the likelihood of two occurrences joining together, is essential to understanding this area of mathematics.

Given that:

no of seniors = 3

no of juniors = 15

a) probability that a group consist of a senior and two juniors:

                      [tex]=\frac{^{3} C_{1} *^{15} C_{2 }}{^{18} C_{3}}\\\\=\frac{3 * 105}{316} \\\\=0.386[/tex]

b) if the name of a student given then there is only one way to select it

For example = we have to select 1 senior which name is already given means there is only one way to select it, and 2 junior in which one name is given then it can only selected by one way, but still one junior student has to be selected out of remaining 14 student which can be selected by [tex](^{14}C_{1} =14)[/tex] different ways.

                         [tex]=\frac{1 *1*{^{14} C_{1}}}{^{18} C_{3}}} \\\\= \frac{14}{316} \\\\= 0.017[/tex]

Hence, The answer of a) is 0.386 and of b) is 0.017

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how many ways are there to pick five people for a committee if there are six (different) men and eight (different) women and the selection must include at least one man and one woman?

Answers

The number of ways there to pick five people for a committee is if there are six men and eight women, and the selection must include at least one man and one woman 1940.

What is the combination?

Combinations are mathematical operations that count the number of possible configurations for a set of items where the order of the selection is irrelevant. In combinations, you can select the items in any order.

There are 6 different men and 8 different women.

The committee must include at least 1 man and 1 woman.

Thus let us first see the possible cases where this condition does not satisfy.

We select 5 men and no women = (6C5)(8C0) = (6)(1) =6

We select 5 women and no men = (8C5)(6C0) = 56

Total no.of possibilities of selecting 5 people in any way = 14C5    = 2002

So the no.of possibilities with at least 1 man and 1 woman = 2002 - 6 - 56 = 1940.

Hence, the number of ways there to pick five people for a committee is if there are six men and eight women, and the selection must include at least one man and one woman 1940.

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The portions of gold in three bracelets are shown. Which bracelet has the highest portion of gold? A. 62% B. 3/5 C.0.65

Answers

The portion of gold in three bracelets that are shown. The bracelet that has a portion of gold is 0.65. The correct option is c.

What is gold?

Gold is actually a very soft metal. Rings constructed of pure gold would bend and disfigure over time. Other elements are added to strengthen the ring. 100% gold is far too soft and far from as durable as it should be.

Gold is a pure element. It is found in the earth's crust when making jewellery from gold, and some other metals like copper or silver is mixed with it.

Therefore, the correct option is c. 0.65.

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the manager of a store buys marine radios in lots of 48. suppose that, on the average, 2 out of each group of 48 are defective. the manager randomly selects 4 radios out of the group to test. assume independence. (round your answers to 4 decimal places.) (a) what is the probability that he will find 2 defective radios?

Answers

The probability that he will find 2 defective radios is 0.0350.

Given that,

The store's management purchases maritime radios in quantities of 48. Let's say that, on average, 4 people out of every 48 make up a faulty group. Out of the group, the manager chooses four radios at random for testing.

P = 4/48 = 0.083

n=4

P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ

a) The probability that he will find 2 defective radios P(X=2)

P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ

P(X=2) = 4C₂ (0.083)² (1-0.083)²

P(X=2) = 0.0350

Therefore, P(X=2) is 0.0350

Therefore, the probability that he will find 2 defective radios is 0.0350.

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It says that Complete the pattern and find the rule and I haven't done this in a really long time so I kind of just like forgot how to do it so that's why I'm asking for your help so I really need this for my grade

Answers

The pattern of the value is given as aₙ =  2aₙ₋₁, where n is a set of natural numbers,

Given that,
We have to determine the pattern of the given series of numbers.

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given series,
2, 4, 8,16, 32, .... so on
From observation, it is to be determined that each proceeding value is twice the previous value.
So,
The pattern is given as,
aₙ =  2aₙ₋₁

Thus, the pattern of the value is given as aₙ =  2aₙ₋₁, where n is a set of natural numbers,

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An arrow is shot with an initial upward velocity of 100 feet per second from a height of 5 feet above the ground. The equation h= -16t^2 + 100t + 5 models the height in feet t seconds after the arrow is shot. After the arrow passes its maximum height, it comes down and hits a target that was placed 20 feet above the ground. About how long after the arrow was shot does it hit its intended target?

Answers

Since the question specified that the arrow had to reach the height only after reaching its maximum altitude, then the only correct answer is 6.096 seconds.

What is the equation referred to as?

A mathematical expression with the equals sign is referred to as an equation. Algebra is frequently used in equations. When performing calculations but not knowing the precise number, algebra is used.

Give,

[tex]20 = -16t^{2} + 100t + 5[/tex]

[tex]= > -16t^{2} + 100t - 15 = 0[/tex]

[tex]= > t = \frac{-100 ± \sqrt{100^{2} - 4(-15)(-15) } }{2(-16)} \\\\= > t = \frac{-100 ± \sqrt{9040} }{-32} \\\\Here, \sqrt{9040} = 4\sqrt{565} \\ \\= > t = \frac{-100 ± \ 4sqrt{565} }{-32} \\\\= > t = \frac{-25 ± \ sqrt{565} }{-8} \\\\= > t_{1} = 6.096 sec \\ = > t_{2} = 0.154 sec[/tex]

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A minivan is traveling at 80.5 kilometers per hour. Cargo is strapped to the roof at a height of 1.75 meters. The car hits a concrete barrier, and the cargo is ejected from the roof. Use the following two equations to determine how long it takes for the cargo to hit the ground and how far it travels in the horizontal direction. Let y represent height in meters, x represent horizontal distance in meters, and t represent time in seconds. Equation 1: y = -4.9t2 + 1.75 Equation 2: y = -0.0081x2 + 1.75

Answers

The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

The calculations are attached in images.

To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,

= −4.9t² +1.75

-1.75=-4.9t²

t²=-1.75/-4.9

t²=√0.3571

=0.6 seconds

Now we will calculate x, then y = 0

because since the cargo will be on the ground it will no have height, so

0= -0.0081x²+1.75

-1.75 =-0.0081x²

x²=-1.75/-0.0081

x= √216.04 = 14.69 feet

It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.

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what is the rate of change for the equation y = 2x+ 40

Answers

Answer: 2

Step-by-step explanation: When we talk about rate change, we are talking about the slope!

The slope is 2x which means the rate change is rise 2 and run over 1.

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Giselle’s father is 3 times as old as her. After 10 years his age will be 5 more than twice her age. Which equation can be used to find Giselle’s age?

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Giselle's age = x

Father age = 3x

Now,
After 10 years his age will be 5 more than twice her age.

This can be written as,

3x + 10 = 5 + 2 (x + 10)

Solve for x.

3x + 10 = 5 + 2x + 20

3x - 2x = 5 + 20 - 10

x = 15

Thus,

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

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For hi birthday Kameron received 18 toy car. He plan to tart collecting more car and i going to buy 2 more every month. Write the number of car to go with the month 0:18 in ratio form

Answers

The ratio of the number of cars to the month's 0:18 is 1:3.

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

18 toy automobiles were given to Kameron.

And he intends to begin accumulating more automobiles, planning to purchase two more each month.

Month 0 finds him with 18 automobiles.

At the end of the 18th month, he will possess:

(18 + (218) vehicles = (18 + 36) cars = 54 cars

The ratio of month 0 to month 18 will therefore be as follows:

18:54 = 1:3

HENCE, the ratio form for the number of cars to accompany the month 0:18 is 1:3.

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Please help me i have no clue how to do this thanks

Answers

It’s asking you to complete 9-1+6+5
So just add the two sums 8+11 = 19

8+8+8-5
16+3=19

nic and tim each purchased one raffle ticket. if a total of 10 raffle tickets are sold and two winners will be selected, what is the probability that both nic and tim win?

Answers

The probability of both Nic and Tim winning the raffle at the same time is 1/100.

Probability is a mathematical measurement of a likelihood of an event to happen. Given that both Nic and Tim each purchase one raffle ticket out of 10 tickets and that there will be two winners selected, the odds of either Nic or Tim winning the raffle out of 10 ticket is 1/10.

Since the odds of either Nic or Tim winning the raffle ticket is 1 out of 10 or 1/10, we can then calculate the mathematical probability of two events occurring at the same time with a multiplication rule formula as follows:

1/10×1/10=1/100

Hence, the odds of both Nic and Tim winning at the same time is 1 out of 100 or 1/100.

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If x – y = 6 and x is twice the value of y, what is the value of x + y ?

Answers

Answer:

18

Step-by-step explanation:

x - y = 6

Given: 2x - x = 6 since x is twice the value of y.

x = 6

2x = 6 · 2 = 12

12 + 6 = 18

x is twice the value of y can be written as:

x= 2y

then we replace x with 2y in the given equation

x - y = 6

2y - y = 6

y = 6

then to find x we replace y with 6 in either of the equations

x = 2y

x = 2(6) = 12

or

x - 6 = 6

x= 6 + 6 = 12

now find value if x + y

12 + 6 = 18

Kimberly i hoting a movie marathon over the weekend. There will be p people at the party altogether. Kimberly etimate he'll need one bag of cheee popcorn and one pack of gummy worm per peron. A bag of cheee popcorn cot $2. 50, and a pack of gummy worm cot $1. 50. Pick all the expreion that repreent how much money Kimberly will pend on cheee popcorn and gummy worm

Answers

With the help of unitary method we can say that, $4 money Kimberly will pend on cheese popcorn and gummy worm.

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

A bag of cheese popcorn cost= $2.50

A pack of gummy worm cost =$1. 50

2.50 * 1.50

4

Hence, $4 money Kimberly will pend on cheese popcorn and gummy worm.

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Evaluate the expression when x=3 and z=-6

Answers

Answer:wasd keys do be bussin

Step-by-step explanation:

cause it do be bussin

suppose the roots of the equation 2x 2 − 5x − 6 = 0 are α and β. without explicitely solving for the roots, find the quadratic equation with roots 1 α and 1 β

Answers

The quadratic equation with the roots  1/α and 1/β using the given equation is equal to

As given in the question,

Given equation is:

2x²−5x−6=0

Roots of the given equations are α and β

Compare with standard quadratic equation:

ax² + bx + c = 0

a = 2 , b= -5 , c = -6

Sum of the roots are:

α + β = -b/a

        = -( -5/2)

        = 5/2

Product of the roots

αβ = c/a

    = -6/2

    = -3

Now ,

( α + β )/ αβ = (5/2) / -3

⇒1/ β + 1/α = -5/6

⇒ 1/α + 1/β = -5/6

And ,

1/αβ = -1/3

Quadratic equation with roots 1/α and 1/β is given by:

x² - ( 1/α + 1/β)x + 1/αβ =0

⇒x² - (-5/6)x + (-1/3) = 0

⇒x² + (5/6)x -(1/3) =0

Therefore, the quadratic equation with roots 1/α and 1/β is equal to

x² + (5/6)x -(1/3) =0

The complete question is :

Suppose the roots of the equation 2x²−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​

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A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y denote the number of fish that need be caught to obtain at least one of each type.
(a) Give an interval (a, b) such that (b) Using the one-sided Chebyshev inequality, how many fish need we plan on catching so as to be at least 90 percent certain of obtaining at least one of each type?

Answers

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

What is meant by Chebyshev inequality?

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

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three points are chosen randomly and independently on a circle. what is the probability that all three pairwise distances between the points are less than the radius of the circle?

Answers

The probability that all three pairwise distances between the points are less than the radius of the circle is 1/12.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Since it doesn't matter where the first point is picked, it can be placed anywhere on the circle.

The following point must be within an arc of 60 degrees on either side, providing a total of 120 degrees and a chance of 1/3. The final point must be situated within 60 degrees of the first two.

If the first two points are apart by 60 degrees, the third point can be placed within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6. If the first two points are the same, the third point can be placed with a maximum degree of freedom of a 120 degree arc and a 1/3 probability.

The chance changes linearly with increasing distance from the first point, up to a maximum of 60 degrees.

As a result, we may find 1/4, the average likelihood we can position the third point based on a fluctuating second point, by averaging the probabilities at either end.

Total probability is 1 × 1/3 × 1/4 = 1/12.

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If Z (4, 3) is translated to Z (2, 7), what is the translation?

Answers

Answer: Left 2, Up 4

Step-by-step explanation:

We see the x decrease by 2 from 4 to 2 so the translation is left 2, and the y increases by 4 from 3 to 7, so it is up 4!

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Determine whether the pair of lines is parallel, perpendicular, or neither.
x-9y=-4

y = 5x-9

Answers

Answer: Perpendicular

The lines are neither. Transform both equations into y=mx+b form. If the equations have equal slopes and different y-intercepts, they are parallel. If they are perpendicular, one equation will have the negative reciprocal slope of the other.

x-9y=-4

Subtract x from both sides:

-9y=-x-4

Divide by -9 on both sides:

y=1/9x-+9/4

Compare to other equation:

y=5x-9


Thus, the slopes are not equal nor negative reciprocals, making the lines neither parallel nor perpendicular.

Of the 52 plays attributed to a​ playwright, 19 are​ comedies, 19 are​ tragedies, and 14 are histories. If one play is selected at​ random, find the odds against selecting a tragedy.

Answers

There are 19 tragedies out of 52 plays, so the probability of selecting a tragedy is 19/52. Therefore, the odds against selecting a tragedy are 33/52

What is meant by Probability?

Probability is a way of selecting how likely something random is to happen. It is a mathematical idea that is used to estimate the probability of an event occurring given a collection of circumstances or results. Probability is commonly expressed as a fraction or decimal, with a value of 1 representing an event that is certain to occur and a value of 0 representing an event that is impossible to occur. In order to generate predictions and to assist in making decisions based on the possibility of various events, probability might be utilized. It is a crucial instrument in a variety of disciplines, such as physics, economics, and statistics.

How to solve?

probability of selecting a tragedy = 19/52.

The odds against selecting a tragedy = 1 - 19/52 = 33/52

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USE MODELS Immediately after take-off, a jet plane consistently climbs 20 feet for every 40 feet it moves horizontally. The graph shows the trajectory of the jet.

Answers

The slope-intercept equation that represents the proportional relationship in this problem is given as follows:

y = 0.5x.

How to obtain the equation?

The slope-intercept representation of a linear function is defined as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the rate of change of the function.b is the y-intercept of the function.

A proportional relationship is a linear function with an intercept of zero, hence the equation is defined as follows:

y = mx.

The variables in this problem are given as follows:

Variable x: horizontal movement.Variable y: vertical movement.

The plane consistently climbs 20 feet for every 40 feet it moves horizontally, hence the slope is obtained as follows:

m = 20/40

m = 0.5.

As the slope is given by the vertical movement divided by the horizontal movement, and hence the equation is given as follows:

y = 0.5x.

Missing Information

The problem asks for the slope-intercept equation that represents the proportional relationship in this problem.

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a rectangle has perimeter 52 km, and its area is 165 sq-km. find the dimensions of this rectangle. (for purposes of this problem only, the width is shorter than the length.)

Answers

The dimensions of the rectangle: length = 15 km and width = 11 km

Let l be the length of rectangle and w be the width of the rectangle.

A rectangle has perimeter 52 km

Using the formula of the perimeter of rectangle we get an equation,

2(l + w) = 52              ............(1)

And its area is 165 sq-km.

Using the formula of the area of rectangle we get an equation,

l * w = 165               ............(2)

From equation (1),

l = 26 - w

Subatitute above value of l in equation (2),

(26 - w) * w = 165  

26w - w² = 165

w² - 26w + 165 = 0

(w - 15)(w - 11) = 0

w = 15     or         w = 11

For w = 15,

l = 26 - 15

l = 11

For w = 11,

l = 26 - 11

l = 15

But as we know, the length of rectangle is always greater than the width,

l = 15 and w = 11 is true .

Therefore, the length of rectangle = 15 km and width of rectangle = 11 km

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Which of these fractions will always result in a terminating decimal no matter what the whole-number numerator is?

A ?/9

B ?/200

C ?/60

D ?/120

Answers

Answer:

B

So convert the number over 200

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