What is equidistant in coordinate geometry?

Answer:

6

Step-by-step explanation:

Step 1:

10 = 3x - 8      Equation

Step 2:

18 = 3x      Add 8 on both sides

Step 3:

18 ÷ 3     Divide

Answer:

x = 6

Hope This Helps :)

\(\cfrac{2\times 10^{-2}}{3\times 10^{-6}}\implies \cfrac{2}{3}\times\cfrac{10^{-2}}{10^{-6}}\implies \cfrac{2}{3}\times\cfrac{10^{6}10^{-2}}{1}\implies \cfrac{2}{3}\times\cfrac{10^{6-2}}{1} \\\\\\ \cfrac{2}{3}\times 10^4\implies 6666.\overline{66}\)

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

85.5 reals

Step-by-step explanation:

Aqui, usando a função de análise, queremos saber a quantidade de dinheiro que deve ser investido para fornecer o número de visualizações.

A maneira como podemos resolver isso é através da substituição. Precisamos apenas substituir F (x) na equação e resolver x, o que nos dará a idéia da quantidade de dinheiro a ser investido.

matematicamente

F (x) = 40x + 80

3500 = 40x + 80

40x = 3500-80 40x = 3420 x = 3420/40

x = 85,5 reais

The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)

The function is given as

f(x)=1/3x^2-3x+5

Start by rewriting the function in vertex form

f(x) = 1/3(x - 9/2)^2 -7/4

Rewrite the function as

y = 1/3(x - 9/2)^2 -7/4

Swap x and y

x = 1/3(y - 9/2)^2 -7/4

Add 7/4 to both sides

x + 7/4= 1/3(y - 9/2)^2

Multiply by 3

3x + 21/4= (y - 9/2)^2

Take the square roots

y - 9/2 = √(3x + 21/4)

This gives

y = 9/2 + √(3x + 21/4)

Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)

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Answer:

\(\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3\)

Step-by-step explanation:

We will solve the given expressions and find the answer in decimals.

1). \(5\frac{6}{15}+(-2\frac{4}{5})\) = \(5\frac{2}{5}-2\frac{4}{5}\)

                   = 5.4 - 2.8

                   = 2.6

2). \(-3\frac{3}{10}-(-\frac{7}{20})=-3\frac{3}{10}+\frac{7}{20}\)

                           = -3.3 + 0.35

                           = -2.95

3). \(\frac{5}{-1.6}=-\frac{5}{1.6}\)

      = -3.125

4). (-4.5) × (-2.3) = 10.35

Solution of the expressions in the increasing order will be,

-3.125 < -2.95 < 2.6 < 10.35

\(\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3\)

Answer:

3rd is 1st

2nd is 2nd

1st is 3rd

4th is 4th

I hope this helps

The negative sign indicates that the force is acting opposite to the direction of motion of the aircraft. Thus, the average force that must act on the aircraft to bring it to a stop is approximately -474000 N in mks units correct to three significant figures.

The formula to calculate the average force is: average force = change in momentum / time taken

Here, the change in momentum of the aircraft = m × v, where m is the mass of the aircraft and v is the final velocity of the aircraft.

The initial velocity of the aircraft is 52.1 m/s and it comes to a stop. Thus, the final velocity of the aircraft is 0 m/s.

The distance covered by the aircraft is 991 m.

Mass of the aircraft, m = 33,872 kg

Initial velocity, u = 52.1 m/s

Final velocity, v = 0 m/s

Distance covered, s = 991 m

The time taken to stop can be calculated using the formula:v^2 = u^2 + 2as

0 = (52.1 m/s)^2 + 2a(991 m)

Solving for acceleration, a = -14.032 m/s^2

Now, the change in momentum of the aircraft = m × v = 33,872 × (0 - 52.1)

= -1,763,699.2 kg m/s

The time taken to stop can be calculated as follows: u = a × t + v052.1

= (-14.032 m/s^2) × t + 0

t = 52.1 / 14.032

t ≈ 3.719 s

Therefore, the average force on the aircraft is:

average force = change in momentum / time taken

= -1,763,699.2 / 3.719

= -474048.33 N

≈ -474000 N

The negative sign indicates that the force is acting opposite to the direction of motion of the aircraft. Thus, the average force that must act on the aircraft to bring it to a stop is approximately -474000 N in mks units correct to three significant figures.

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$18021 is value of the principal investment

percentage, a relative value indicating hundredth parts of any quantity.

Given that after 16 years in an account with a 4.8% annual interest rate compounded continuously an investment is worth a total of $38,744.77

We have to find the value of the principal investment

\(A=Pe^{rt}\)

Where P is the principal amount, r is rate of interest and A is total amount.

\(38744.77=Pe^{0.048(16)}\)

\(38744.77=Pe^{0.768}\)

38744.77=2.15P

Divide both sides by 2.15

18021=P

Hence, $18021 is value of the principal investment

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Answer:

its the 1st option

Step-by-step explanation:

i jus took the test

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

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Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

All the possible answers are given below

U should recall that a rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are identical.

Remember also that a plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

To this effect, the possible answers are

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Answer:

2 different perimeters, 32 cm and 40 cm

Step-by-step explanation:

Given the area of a rectangle is 64 cm squared.

We know, Area of the rectangle is = length x breath

∴  64 = 8 x 8

Hence the sides can be 8 cm by 8 cm.

So the perimeter of the rectangle is = 8 cm + 8 cm + 8 cm +8 cm

                                                            = 32 cm

Also, Area of the rectangle is = length x breath

∴  64 = 16 x 4

So the perimeter of the rectangle is = 16 cm + 4 cm + 16 cm +4 cm

                                                            = 40 cm  

Answer:

2 solutions

i hope this will help you

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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Answer:

y = 13

Step-by-step explanation:

y = 3x + 2

y = - 3 ( 5 ) + 2 ( given :- x = 5)

y = - 15 + 2

y = 13

Answer:

-13

Step-by-step explanation:

y=-3x+2

Let x = 5

y=-3*5+2

  = -15+2

   = -13

B is the answer

i simplified the theorem, but i hope this makes sense!

Answer:

B

Step-by-step explanation:

Answer:

okay so I am assuming we are dividing okay so here is how we will do it

here are the top and bottom values written more easily

3^n -3^n-1

3^n+1 +3^n

so first we can cancel out the 3^n values then get left with this

3^n-1

3^n+1

now it depends on the instructions but you can leave it like this or you can subtract their powers to get

3^n-2

Step-by-step explanation:

Answer:

is the last one

1 - 2n > 5. The solution set is (-∞, -2)

Step-by-step explanation:

e are dealing here with two problems:

First, to determine which mathematical statement represents "One less than twice a number is no less than five".

Second, solve n, that is, the solution set for the numbers that solve the inequality.

First Part: Identifying the inequality

"One less than twice a number" can be written as  , where n is the unknown number.

If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is  " > " (greater).

As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:

.

Second Part: Finding the solution set

The solution set for this inequality is as follows:

⇒

Subtract -1 from each member of the inequality:

⇒  ⇒  

Multiply each member of the inequality by  (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:

The solution set is then , which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:

Solution set for  is .

Answer:

1-2n>5

hope it help3d

Answer:

Says what is 24 mins?

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

wat is that suppose 2 mean?

The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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Answer:

Step-by-step explanation:

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer: \(\frac{8}{\sqrt{\pi} }\) , simplified to \(\frac{8\sqrt{\pi} }{\pi} }\)

Step-by-step explanation:

The formula for the surface area of a sphere is:

Surface area = \(4\pi r^2\)

256 = \(4\pi r^2\)

64 = \(\\\pi r^2\)

\(\sqrt{\frac{64}{\pi} } = r\)

Thats the radius!

The value of  h’(1) is = 22

How may the chain rule example be used?

Solution: Since f′(x)=ex, the exponential function with base e's derivative is simply the function itself. G′(x)=4 is the derivative of g. The chain rule states that h′(x)=f′(g(x))g′(x)=f′(4x)4=4e4x. It was crucial that we assessed f's derivative at 4x in this example.

Given that :

h(x) = 2f(x).g(x)

f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1

h’(x) = 2 f'(x)g(x) + g'(x)f(x) by chain rule

h’(1) = 2 f'(1)g(1) + g'(1)f(1)

= 2 * (4 * 2 + 1 * 3)

= 2* (11)

= 22

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The total weight is 18.5 kilograms

Answer:

ujhb ;jenwpfeuw9oytr87w4i4398743203irjfgk

Step-by-step explanation:

frylgbrbbiyebvkhweylirgkhbngiwoerulkhbvlihrfkvbruilefjkvgbwiulrejkfmngvhb jrio;e;jfeir'spgvnjth'\w/to;jnjf';thgbv;trjkvnrtjkgvbv jrkfds,

mvpbinh54utgj['p4\iwujgi5ptjnrtgojltngibklrtjngirglihnir

Answer:

What is the answer Choices? message me and ill answer.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

what ur going to have two does is set up a cross multiplication equation of 150 over 3/4 = the variable X over 1 then cross multiply and u should get ur answer.

The number of miles that you can drive on one tank of gas, given the distance on 3 / 4 of a tank is 200 miles.

You drive 150 miles on 3/4 of a tank of gas. Therefore, to find out how far you can drive on one (a whole) tank of gas, you can set up a simple proportion and solve for the unknown.

If 3/4 of a tank gives you 150 miles, then 1 (or 4/4) tank would give you:

150 miles / (3/4) = X miles / (4/4)

where X is the distance you can drive on one tank of gas.

Solving gives:

150 miles * 1 = x miles * 3 / 4

200 miles = X miles

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Answer: 39

Step-by-step explanation:

    First, we will list some multiples of 3.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, \(\boxed{39}\), 42, 45, 48, 51, 54, etc.

    Next, we will list some multiples of 13.

13, 26, \(\boxed{39}\), 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, etc.

    We see that the least common multiple of 3 and 13 is 39. This is the smallest value that shows up in both lists.

    What is a multiple?

A multiple is a number that can be divided with that number without a reminder.

Answer:

58 tourists

Step-by-step explanation:

25% = .25

.25 x 232

=58