Here.................

Answer:

5.1m

Step-by-step explanation:

Distance=\(\sqrt{5^{2} +1^{2} }\)

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Given: Eratosthenes was in about 274 BC. Sir Isaac Newton was born in 1642 AD.

Required: To determine the difference between both dates.

Explanation: The AD starts right after BC ends. There is no year zero. So we need to count from 247 BC to 1 BC and then 1 AD to 1642 AD.

Thus the difference between the birth dates of Eratosthenes and Sir Isaac Newton is-

Final Answer: 1889 years.

Answer:

Below.

Step-by-step explanation:

If x - 6 is a factor of f(x) then f(6) will be zero.

So we substitute x = 6 into the function:

f(6) = (6)^3 - 3(6)^2 + 2(6) - 8

= 216 - 108 + 12 - 8

= 112.

So f(6) is not zero and x - 6 is not a factor.

Answer:

24 min

Step-by-step explanation:

14-8 is 6 so you need to shrink it 6 feet until it has a daimiter of 8.

6 divided by .25 is 24 so you have your answer

14-.25x=8

The equation is 14 - 0.25x = 8.

It will take 24 minutes for the balloon to shrink.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon has a 14-foot diameter.

Rate of 0.25 feet per minute.

Now, equation to represent the situation is

14 - 0.25x = 8

On further solving

6= 0.25x

x= 6/0.25

x= 24

Hence, it will take 24 minutes for the balloon to shrink.

Learn more about equation here:

https://brainly.com/question/16255566

#SPJ5

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

Learn more about Triangle inequality theorem from the given link

https://brainly.com/question/1163433

#SPJ1

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

Learn more about capability here

https://brainly.com/question/31154332

#SPJ11

If the function g(x) is exponential and it increases by a factor of 3 over every unit interval, we can express it in the form g(x) = a * 3^x, where 'a' is a constant.

Given that g(x) has the value 9 when x = 6, we can substitute these values into the equation:

9 = a * 3^6

To solve for 'a', we divide both sides of the equation by 3^6:

a = 9 / 3^6 = 9 / 729 = 1/81

Therefore, the function g(x) is given by g(x) = (1/81) * 3^x, where it increases by a factor of 3 over every unit interval and has the value 9 when x = 6.

To learn more about exponential function, refer below:

https://brainly.com/question/26130204

#SPJ11

Answer:

Step-by-step explanation:

\(m\angle(A) + m\angle(B)=90\\34+(2x+22)=90\\\textrm{Solve for x.}\\\\34+2x+22=90\\2x+56=90\\2x=90-56\\2x=34\\x=17\\m\angle(B)=2x+22=2(17)+22=34+22=56\degree\)

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

Specific humidity is defined as the mass of water vapor per unit mass of dry air. It can be calculated as the ratio of the partial pressure of water vapor (Pv) to the total pressure (Pt) minus the partial pressure of water vapor (Pv).

The specific humidity of a parcel of air is a measure of the amount of water vapor in the air. It is defined as the mass of water vapor per unit mass of dry air. The specific humidity can be calculated using the following equation:

specific humidity = Pv / (Pt - Pv)

where:

Pv is the partial pressure of water vapor

Pt is the total pressure

The partial pressure of water vapor is the pressure that would be exerted by the water vapor if it were the only gas in the air. The total pressure is the sum of the partial pressures of all the gases in the air.

The specific humidity can be used to calculate the relative humidity, which is a measure of how close the air is to being saturated with water vapor. The relative humidity is calculated using the following equation:

relative humidity = Pv / Psat

where:

Psat is the saturation pressure of water vapor

The saturation pressure of water vapor is the pressure at which the air is saturated with water vapor. The saturation pressure increases with temperature.

The specific humidity and relative humidity are both important measures of the amount of water vapor in the air. The specific humidity is a more direct measure of the amount of water vapor, while the relative humidity is a measure of how close the air is to being saturated with water vapor.

Learn more about specific humidity here:

brainly.com/question/28528740

#SPJ11

Answer:

4

Step-by-step explanation:

Answer:

The ratios would be 5:7 and 20:28.

I believe the scale factor would be 4.

The larger box is 4 times the size of the smaller box.

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is \(\frac{y_2-y_1}{x_2-x_1}\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\). We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

\(\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}\)

Simplify the fraction

\(= -4\)

Therefore, the slope of the line is equal to -4.

I hope this helps!

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The answer is False.

What is Probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

The meaning of probability is basically the extent to which something is likely to happen. This is a basic theory of probability that is also used in probability distributions, where you learn the possibilities of outcomes for a random experiment.

To find the probability of a single event occurring, we should first know the total number of possible outcomes.

We can use the central limit theorem to approximate the distribution of the sample mean as normal, with a mean of μ = 70 and a standard deviation of σ/√n = 10/√4 = 5. Therefore, we need to find the probability of obtaining a sample mean greater than 65:

Z = (x - μ) / (σ/√n) = (65 - 70) / (5/2) = -2

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a Z-score of -2 or less is approximately 0.0228.

Therefore, the probability of obtaining a sample mean greater than 65 is 1 - 0.0228 = 0.9772, which is not equal to 0.8413. So the statement is false.

To learn more about Probability from the given link.

https://brainly.com/question/13604758

#SPJ4

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation:

I'm not really sure okay!

Note that \(\frac{AX}{AB}=\frac{6}{24} =\frac{1}{4} ,and\frac{AY}{AC}=\frac{10}{35}=\frac{2}{7}.\)

Because the ratio of the lengths of corresponding sides of the triangles are not equal, the triangles are not similar.

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

Answer by: Medunno13

https://brainly.com/question/26646936

The degrees of freedom here is 5.

Given,

A grocery store company wanted to know how well some of their local stores were doing.

The number of sample reviewers they hired to rate 15 local stores = 6

We have to find the degrees of freedom;

Degrees of freedom;-

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

Here,

Degrees of freedom = n - 1

n = 6

Then,

Degrees of freedom = 6 - 1 = 5

That is,

5 is the degrees of freedom in this case.

Learn more about degrees of freedom here;

https://brainly.com/question/16254305

#SPJ4

MAY BE THIS !!!!

HOPE IT'S HELPFUL FOR U MATE

The number of people who play both volleyball and football will be 80.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.​

The number of people who play volleyball and/or football is calculated as,

A∪B = 150 - 25

A∪B = 125

The number of people who play both volleyball and football is calculated as,

A∩B = A + B - A∪B

A∩B = 120 + 85 - 125

A∩B = 80

The number of people who play both volleyball and football will be 80.

More about the sets link is given below.

https://brainly.com/question/8053622

#SPJ2

Answer:

Step-by-step explanation:

none of these the corrct answer is 5

Answer: 60 cents

Step-by-step explanation: 1 Dime= 10 cents; 10x6= 60.

Answer: 60 cents.

Step-by-step explanation:

One dime is worth 10 cents. Therefore, if you have six of them it's simple repeated addition

10+10+10+10+10+10

or simple multiplication.

10(6)

Which are both the same exact thing.

So six dimes are 60 cents. Hope that helps!!

Answer:

his taxable income ranges from 13,850 to 52,850.

The required taxable income of the Rich is $180,000.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Let the extra taxable income after $160,700 of the Rich be x,
As mentioned in the question Rich has to pay $37,498.00 in taxes.

From table,
Rich tax pay = 31,322 + 32% of x
37,498 = 31,322 + 32% × x
x = [37,498 - 31322] / 0.32
x = 19,300

Taxeble income = $160,700  + 19300 = $1,80,000.

Thus, the required taxable income of the Rich is $180,000.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

Answer:

James works on history 6/10 more that English.

Step-by-step explanation:

Since he worked on History for 9/10 of an hour, and worked on English for 3/10 of an hour. He would be working on history 6/10 more than English.

9/10-3/10=6/10.

6/10=3/5

Answer:

James works on history 6/10 of an hour more than on English.

Step-by-step explanation:

This is because 9/10 - 3/10 = 6/10

Answer: D

Step-by-step explanation:

Answer:

7 is in the tens place because 5 holds the place value of ones in the number 75

Answer:

7

Step-by-step explanation:

number 7 is in the tens place because the order goes ten's..... hundreds........ thousands..... and so on

Answer:

y = x/5 - 4

second option is the correct answer.

Step-by-step explanation:

y = -5x+4

y = mx+b

m = -5

Now

Slope of the line perpendicular to a line would be the negative proprtional of the slope of the line.

so,

For the points (5,-3) and (10,-2)

m = 1/5

y = mx + b

or, -3 = 1/5 × x + b

or, -3 = 1/5 × 5 + b

or, -3 = 1+b

so, b = -4

Now,

y = mx+b

or, y = 1/5 × x + (-4)

or, y = x/5 - 4

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

To know more about square root , visit

brainly.com/question/29286039

#SPJ4

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)

We have the final answer as

Hope this helps you

Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

If Jackson has  \(4\frac{1}{2}\)  pounds of salt to fill in containers that hold 1/4 a pound then he fill 18 containers.

Given that Jackson has \(4\frac{1}{2}\) pounds of salt

He has to fill in containers that hold 1/4 a pound

We have to find the number of containers to fill  \(4\frac{1}{2}\) pounds of salt.

To find containers we have to divide  \(4\frac{1}{2}\) pounds of salt by 1/4

\(4\frac{1}{2}\)/1/4

(9/2)×4

36/2= 18

Hence, 18 contains can Jackson fill, option D is correct.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1