Mathematics College

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?

Answers

Answer 1

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

Related Questions

1) -4/3
2) -3/4
3) 10/17
4)17/10

Answers

Answer:

boom bam ba boom bam ba

Answer: -3/4

Step-by-step explanation:

The y value is decreasing by -0.75

-3.75 - 0.75 = -4.5

-4.5 - 0.75 = -5.25

-5.25 - 0.75 = -6

ect.

-0.75 in fraction form is -3/4

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

Answers

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

heeelllppp meeee please

Answers

A= 100; b= 0,9
f(x)= 100.(0,9)^x

Express sin U as a fraction in simplest terms.
S
12
13
5
U

Answers

Answer:

12/13

Sine is opposite over hypotenuse. The opposite side of U is 12 and the hypotenuse is 13, so the answer is 12/13

What is the slope and y-intercept that represents this table?​

Answers

Answer:

[tex]m=-2\ 000; q=17\ 000[/tex]

Step-by-step explanation:

First of all, whoever formatted that table is a criminal.

Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000

A race director is preparing for an upcoming marathon and estimates that the mean time to
finish is 310 minutes. Assume
that the times are normally distributed, with a standard deviation of 50 minutes.
Use a standard normal table or a calculator to find the percentage of times that are longer than 236 minutes. For your
intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example
98.23%).

Answers

93.06% of the race is longer than 236 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 310, σ = 50

For x > 236:

[tex]z=\frac{236-310}{50}=-1.48[/tex]

From the normal distribution table:

P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 =  93.06%

93.06% of the race is longer than 236 minutes.

Find out more on z score at: https://brainly.com/question/25638875

What is Power rule, Product rule, Quotient rule and Chain rule? Detail please

Answers

Power Rule|
When raising an exponential expression to a new power multiply the exponents.

For and Example|
Simplify: 7a^4 b^6)2

Solution: Each factor within the parentheses should be raised to the 2nd power.
7a^4 b^6)2 = 7^2(a4)2(b^6)2

You then simplify using the power Rule of Exponents.

7a^4 b^6)2 = 7^2(a4)2(b^6)2 = 49a^8 b^12

The power rule states that this derivative is n times the function raised to the (n-1) the power times the derivative of the function.


Product Rule|
When multiplying exponential expressions that have the same base, add the exponents.

Example:
Multiply: 4x^3 • -6x^2

Solution:
Multiply coefficients: 4 • -6 = -24

Use the product rule to multiply variables.
X^3 • x^2 = x^3 + 2 = x^5
4x^3 • -6x^2 = -24x^5

The power of product rule is a method for simplifying exponents and it states that a term raised to a power is equal to the product of its factors raised to the same power.
The product of two or more numbers is the result of multiplying these numbers.


Quotient Rule|
When dividing exponential expressions that have the same base, subtract the exponents.

Example:
Simplify: 8x^6/2x^3 = 4x^3

Solution:
Divide coefficients:
8 /2 = 4

Use the Quotient rule to divide variables:
X^6/x^3 = x6 - 3 = x^3
8x^6/ 2x^3 = 4x^3

The Quotient of two numbers is the result of the division of the numbers.

Chain Rule|
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power.

((Hey I’m really tired so I hope this is good and helps you good luck!!))

Good Night fools!!!

1. The side of a square is 5 units long. What is the area of the square?
20 units?
25 units
10 units?
15 units?​

Answers

Answer: 25 units squared

Step-by-step explanation:

1) A square has 4 equal sides.

2) The area of a square is length x width.

3) Therefore, 5x5 = 25 units squared (area is always reported in units squared).

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answers

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

Find the values of x and y that makes these triangles congruent by HL.

Answers

Answer:

What is HL?  holey logic? hawk a loogy? half lies? honey lemon? heavenly lampshade? hand lotion?

Step-by-step explanation:

as AB = DE, the only options given where x = y - 1 are the the second and third.

as AC and AD are equal from ASA

3x - 2 = 2y + 1

3x - 3 = 2y

y = 1.5x - 1.5

the only x,y pair that fits is x = 5, y = 6

help please use picture

Answers

[tex]y = x + 4[/tex]

Step-by-step explanation:

Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]

Therefore, the general slope-intercept form of the equation of the line is

[tex]y = x + b[/tex]

where b is a constant. To solve for it, let's use one of the points. I'll use P2:

[tex]4 = (0) + b \Rightarrow b = 4[/tex]

Therefore, the slope-intercept form of the equation of the line is

[tex]y = x + 4[/tex]

What is the equation of the line that passes through the point (-6,8) and has an undefined slope?​

Answers

Answer:

x = -6

Step-by-step explanation:

Slope is rise over run (change in y divided by change in x), and to have an undefined slope change in x must be zero. The line x = -6 is a vertical line that passes through the point (-6,8).

If 3/4 of one of the acute angles of a right-angled triangle is 15 1/4 larger than 1/6 of the other, find the acute angles.​

Answers

Answer:

Step-by-step explanation:

A + B = 90

A/6(15.25) = 3B/4

61A/18 = B

18A/18 + 61A/18 = 90

A = 90(18)/79

A = 20 40/79°

B = 90 -A = 69 39/79°

Help help help help math please ASAP

Answers

Answer:

I think its 86

Step-by-step explanation:

As the two lines going in the same direction are parallel and angles within parallel lines add to 180.

so 180-94=86

94 and angle 5 are supplementary angles so
94 + angle 5 = 180
angle 5 = 180 -94
angle 5 = 86
Hope this helps

What are the coordinates of A? someone help ​

Answers

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

PLEASE HELPP MEE ASAPP!!

Answers

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets

7+x÷y is a ______( type of polynomial)​

Answers

Answer:
I’m pretty sure this would be classified as a binomial
Hope this helps!

What is the solution to this equation? 1⁵+5²/25⁰-5¹=

Answers

Answer:

It is 21 first guy is no doubt correct.

Step-by-step explanation:

The expression results to 21.

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

1⁵+5²/25⁰-5¹

So, 1⁵ = 1

5² = 25

25⁰ = 1

5¹ = 5

Now, 1⁵+5²/25⁰-5¹

= 1+ 25 / 1 - 5

= 1 + 20

= 21

Hence, the expression results to 21.

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ2

True or False (See Image)

The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.

Answers

Answer: true

Step-by-step explanation:

A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be ​% confident that his estimate is in error by no more than percentage point Complete parts​ (a) through​ (c) below.


A) Assume nothing is known about the percentage of computers with new operating systems

n =
round up to the nearest integer

b) Assume that the recent survey suggest that about 96% of computers use a operating system.

n =
round up to the nearest integer


C) Does the additional survey information from part​ (b) have much of an effect on the sample size that is​ required?

A.

​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

B.

​No, using the additional survey information from part​ (b) does not change the sample size.

C.

​Yes, using the additional survey information from part​ (b) dramatically increases the sample size.

D.

​No, using the additional survey information from part​ (b) only slightly increases the sample size.

Answers

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

For this problem, we consider that we want it to be within 4%.

Item a:

The sample size is n for which M = 0.04.There is no estimate, hence [tex]\pi = 0.5[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is [tex]\pi = 0.96[/tex], hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]

[tex]n = 92.2[/tex]

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

Find the quotient.
32 ÷ 0.08

Answers

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

Sasha's SUV has a 17-gallon gas tank. The SUV gets an estimated 24 miles per gallon.

Approximately how many miles can the SUV run on half a tank of gas?

Answers

Answer:

The SUV can run 204 miles with half a gas of tank.

Step-by-step explanation:

Divide 17 by 2=8.5 gallons

Then do the formula for distance which is:

miles per gallon times gallon

24 times 8.5 would be 204

204 is your answer :3

Fill in the blanks to solve 900 x 6

Answers

Answer:

The answer is 900 ×6= 5,400 u can use a calculator

MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.

b. How much cleaner is in the tank when the cleaning begins?

C. After how many minutes is the tank empty?

Answers

Answer:

a. Write an equation that represents the amount of cleaner in the tank after x minutes

y= -4x + 128

b. How much cleaner is in the tank when the cleaning begins?

128

c. After how many minutes is the tank empty?

The tank is empty in 32 minutes

simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4

Answers

Answer:

x^7-7x^6+21x^5-13x^3+33x^2-35x

Step-by-step explanation:

there you go!


Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.

A) logv5 2
B) logv5 (75/8)

Answers

The answer is B I could be wrong but I think that’s the answer

Simply:
3 (2x - 2) -2 (x - 2)

A: 3x -3
B: 3x -4
C: 4x -2
D: 4x -4

Answers

Answer:

4x-2

Step-by-step explanation:

6x-6-2x+4

=4x-2

ANSWER FAST!!

Write the equation of a line that has a slope of -2/7 and passes through the point (5,-6)

Answers

Answer:

y = -2/7x - 32/7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -2/7

y = -2/7 x+b

We know a point on the line is (5,-6)

Substitute this into the equation

-6 = -2/7(5) +b

-6 = -10/7+b

Add 10/7 to each side

-6 +10/7 = b

-42/7 + 10/7 = b

-32/7 = b

y = -2/7x  -32/7

arithmetic sequence, can anyone help with this questions plz?

Answers

Answer:

Add 2/3

Step-by-step explanation:

2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3

an amount ogf $3700 id deposited into an account that pays 8.25% confounded semi-annually. how much money eill you receive in 15 years

Answers

Answer: The answer is seventeen

Step-by-step explanation:

i just answered this question

Other Questions
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00 More than a million people immigrate to the United States to start new lives every year, and if theyare arriving in New York, one of the first sights that they will see is the Statue of Liberty. The Statue ofLiberty stands on Liberty Island, near Manhattan in New York. Though she is often thought to beresident of New York, Liberty Island is actually federal property, which means that the Statue ofLiberty belongs to the whole country. The Statue of Liberty is not only the tallest statue in America, itis also one of the most recognizable American symbols.The Statue of Liberty is huge. From the tip of the torch to the pedestal which is the base of the statueon which she stands, she is just over 151 feet tall. If you include the pedestal in your measurement,she stands more than 305 feet off of the ground. Thats more than 30 basketball hoops or an entirefootball field. Her waist size is 35 feet, which would make it awfully tough to find pants, and thetablet she holds is 23 feet long. Dont worry though; she hasnt had any trouble holding that tabletyet with her 8 foot index finger.Though America financed and built the pedestal on which the Statue of Liberty stands, the statueitself was a gift from France. In this way the complete work, much like the United States, is a productof both American and French contributions. At one time America was ruled by the British. Thefounding fathers of America chose to fight against Great Britain for the independence of theircountry. France supported America by providing money, men, and weapons of war. Had it not beenfor French contributions during the Revolutionary War, America would not exist in the way that itdoes today; therefore, it is quite fitting that the Statue of Liberty, which represents freedom, came tobeing by a joint American and French effort. On October 28th, 1886, just over one-hundred yearsafter America declared its independence from Great Britain, the Statue of Liberty was completed anddedicated by its designer, Frdric Auguste Bartholdi.Perhaps no person did more to bring the statue into being than Bartholdi. Not only did Bartholdi gainboth French and American approval for the project, he led the French fundraising efforts anddesigned the appearance of the statue. The appearance of the Statue of Liberty is somewhat resultingfrom Libertas, the Roman goddess of freedom. The torch represents how liberty enlightens the world.The seven points or rays coming from the top of the crown represent the sun, the seven seas, theseven continents, and (as with the torch) how liberty enlightens the world. Though much of thestatue was modeled after depictions of goddesses, Bartholdi modeled the face after his mother. Nowthats a Mothers Day gift thats hard to top.Though Bartholdi was responsible for the external appearance of statute, the internal design can belargely credited to innovative designer, Gustave Eiffel. Though Mr. Eiffel is best known for hiscontributions to a tower in Paris that is named after him, he also engineered the internal structurethat holds up the Statue of Liberty. Eiffel chose to use a flexible structure, so that changes in thetemperature and strong winds from the ocean would not cause the statue to crack. Because of Eiffelscrafty design, the Statue of Liberty may sway as much as three inches on a windy day. If the windsexceed 50 miles per hour, the torch may sway five inches. Eiffel is also responsible for including twospiraling staircases on the interior of the statue to help visitors reach the observation point in thecrown.A.Answer the following questions:1. Why is it significant that the Statue of Liberty is a product of both French and American efforts?2. Eiffel chose to use a flexible structure. Explain.3. The statue of liberty belongs to one state only. True or False. Support from the text.4. Why does the Statue of Liberty look the way that she does?5. What is the main idea of the passage?B.Choose the correct answer:6. Which is not represented by the seven points on the crown of the Statue of Liberty according to thetext?a. The points represent how liberty enlightens the world.b. The points represent the seven continents.c. The points represent the sun.d. The points represent the seven days of creation.7. What is meant by pedestal?a. The Statue of Liberty stands on Liberty Island.b. It is a federal property.c. the statue itself was a gift from France.d. the base on which the Statue of Liberty stands.8. Which best expresses the main idea of the third paragraph?a. France assisted the United States in the Revolutionary War.b. The statue was a joint effort between France and the U.S. just like U.S. independence.c. The U.S. was once a colony of Great Britain.d. The statue of liberty was dedicated 100 years after America declared its independence. Olivia asks several real estate agents to help her sell her house. A buyer is found. At the closing, no agent receives a commission. What type of listing agreement did Olivia make A compound has a molar mass of 163.59 g/mol. If you have 736.155 grams of this compound, how many moles do you have? What is a key difference between bank embezzlement and bank robbery?A person who robs a bank must show a weapon; an embezzler typically uses a pen or computer.There is no legal difference between embezzlement and robbery.A person who embezzles funds must have been an employee of the bank for a minimum of twenty-five years; bank robbersneed only have been ten-year employees.A person who embezzles funds from a bank must be an employee or someone trusted to manage the bank's assets; a bankrobber can be anyone. does anyone can help me i dont get and how to solve this The principle that safer investments tend to offer. Which best describes the text structure of the fourth paragraph? What similar purpose did many traditional African religions share Match each term with its definition Overpopulation can result from _____________ The ________ command is one of the most commonly used command-line commands. It can be used to check IP connectivity between two network devices. Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?Please show in step by step how to solve Alex submitted his analysis of the short story The Zoo for peer review. In his essay, Alex claimed that the manticore was a symbol for Emilys worries about her father. Which of these topics does NOT belong in the groups discussion of Alex s essay?a discussion about what else the manticore might symbolizea summary of the claims and evidence in Alexs analysisa discussion about the strengths of Alexs analysisa description of the manticore in Harry Potter and the Sorcerers Stone Area of rectangle 2x8/9 When an author has an explanation printed at the bottom of the page you are reading to identify a reference they made to another authors work, what is this feature called? John is a 56-year-old veterinarian who was recently tested for vitamin D levels. His current result came back inconsistent with his results in the past. What could be the explanation for this erroneous results? please help!!! Anyone know this? Thanks!!!!!!! Good authors choose their words very carefully. Take a few minutes to write a short paragraph describing an experience you have recently had. Pick a location you went to or an event you attended. Once you have finished, read over what you have written. Now, write a second paragraph. In it, you will repeat the information from the first paragraph, but you will choose your words more carefully. Ask yourself questions like What words capture this image exactly? What is the best word to convey how something looked, or how I felt? Take more time with the second paragraph. Your response should be at least 150 words in total.