What is the distance between (4,-2), (0,4)

The decimal representation of 1/70000000 is 0.0000000142857142857....

In math, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To find the digit that occurs in the 2023rd place after the decimal point, we can use long division to divide 1 by 70000000 and track the remainders.

Since the decimal representation of 1/70000000 is repeating every 6 digits, we can find the digit at the 2023rd place by taking the remainder when 2023 is divided by 6.

2023 % 6 = 1

So the digit in the 2023 place is the first digit after the repeating decimal, which is 4.

Therefore the digit in the 2023rd place after the decimal point is 4.

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Mean Absolute Deviation (MAD) is a measure of accuracy for a forecasting model.

It measures the average distance between the actual value and the predicted value, and can be calculated using the following formula: MAD = 1/n * Σ |Ai-F i |, where n is the number of data points, Ai is the actual value, and Fi is the forecasted value. MAD is often used to compare the accuracy of different forecasting models. A lower MAD value indicates that the model has a better accuracy in predicting future values. Additionally, MAD can also be used to measure the accuracy of a single forecasting model over time. If MAD increases, then the accuracy of the forecasting model is decreasing.

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The legitimate probability distribution for the discrete random variable X whose possible values are 0, 3, 4, 5 and 6 is: P(X=0) = 0.2, P(X=3) = 0.2, P(X=4) = 0.3, P(X=5) = 0.2, and P(X=6) = 0.1.

For a probability distribution to be legitimate, the probabilities of all the possible values of a random variable need to add up to 1. So, in this case, the sum of all the probabilities must be equal to 1.

For the given values, we can assign the probability of 0.2 to the values 0 and 3, 0.3 to the value 4 and 0.1 to the value 6, so that the sum of all the probabilities is 1.

Therefore, the legitimate probability distribution for the given discrete random variable X is as follows:

| Value (x) | P(X=x) |

|---|---|

| 0 | 0.2 |

| 3 | 0.2 |

| 4 | 0.3 |

| 5 | 0.2 |

| 6 | 0.1 |

The legitimate probability distribution for the discrete random variable X whose possible values are 0, 3, 4, 5 and 6 is: P(X=0) = 0.2, P(X=3) = 0.2, P(X=4) = 0.3, P(X=5) = 0.2, and P(X=6) = 0.1.

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Answer: D. 0.70

Step-by-step explanation:

42/60= 0.7

The total amount of money (e) spent can be represented by the equation E = ($3.00S) + ($5.00P).

The total amount of money spent will be the sum of money sent of salad and pizza.

The total amount of salad = number of bowls of salad × cost of each bowl of salad

Similarly, the total amount of pizza = number of slices of pizza × cost of each slice of pizza

So, the combined equation will be -

Total money spent = number of bowls of salad × cost of each bowl of salad + number of slices of pizza × cost of each slice of pizza

Keep the values in above mentioned equation -

E = (S × 5) + (P × 3)

Performing multiplication of constant and variable on Right Hand Side of the equation

E = 5S + 3P

Thus, third option is correct.

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The bookstore has 30 copies of books left after they sold (4/7)th today.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A bookstore had 84 copies of a magazine.

Yesterday it sold 1/6 of them which is, (84 - (1/6)×84).

= 84 - 14 books remaining.

= 70 books remaining.

Today it sold 4/7 of what remaining which is,

= (70 - (4/7)×70).

= 70 - 40.

= 30 books.

So, Now the bookstore has 30 books left.

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The image of the function after the translation is g(x) = log(x + 1) + 4

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

f(x)=logx

How to determine the equation of g(x)?

From the graph, the given parameters are:

f(x) = log(x)

From the graph, we can see that:

The graph of f(x) is translated left by 1 unit

The graph of f(x) is translated up by 4 units

This transformation is given as

g(x) = f(x + 1) + 4

Mathematically, this transformation can be represented as

(x, y) = (x + 1, y + 4)

When represented as a function, we have

g(x) = f(x + 1) + 4

Substitute the equation f(x) = log(x)

f(x + 1) = log(x + 1) + 4

So, we have the following equation

g(x) = log(x + 1) + 4

Hence, the equation of g(x) is g(x) = log(x + 1) + 4

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The total distance ran by the wide receiver is given as follows:

195.6 yd.

Suppose that we have two points with coordinates given as follows:

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]

Then the formula for the distance between these two points is given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For the out route, the distance is given as follows:

[tex]D = \sqrt{(60 - 30)^2+(50 - 20)^2} = 42.43[/tex]

To the end zone, the distance is given as follows:

[tex]D = \sqrt{(60 - 80)^2+(50 + 30)^2} = 82.46[/tex]

From the end zone back to the huddle, the distance is given as follows:

[tex]D = \sqrt{(80 - 30)^2+(-30 - 20)^2} = 70.71[/tex]

Hence the total distance is of:

42.43 + 82.46 + 70.71 = 195.6 yd.

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The above equation's midpoint is represented by the expression Midpoint = (3.5,2,2) (1.5,-4.8). ( 2.5,-1.3 )

Midpoint =( 2.5,-1.3 )

The formula for determining the midpoint is

[tex]$\left(x_m, y_m\right)=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$[/tex]

[tex]$\left(x_m, y_m\right)=$[/tex]the midpoint's coordinates

[tex]$\left(x_1, y_1\right)=$[/tex] the first point's coordinates

[tex]$\left(x_2, y_2\right)=$[/tex] the second point's coordinates

Divide the distance between the two endpoints by 2, then multiply it by 3. The middle of that line is at these distances from each end. As an alternative, multiply the sum of the two endpoints' x coordinates by 2. For the y coordinates, repeat the process. the location on a line when the distances to both ends are equal. a period of time midway between the start and finish of an event.

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A line segment is a piece of a line that can connect two places. Hence  ar (ABC) = ar (ABD)

Given

[tex]$\triangle \mathrm{ABC}$[/tex] and [tex]$\triangle \mathrm{ABD}$[/tex] are two triangles on the same base [tex]$\mathrm{AB}$[/tex].

To show :

ar(ABC)=ar(ABD)

Proof :

Since the line segment [tex]$\mathrm{CD}$[/tex] is bisected by [tex]$\mathrm{AB}$[/tex] at [tex]$\mathrm{O}[/tex] . [tex]\mathrm{OC}=\mathrm{OD}$[/tex].

In [tex]$\triangle \mathrm{ACD}$[/tex], We have [tex]$\mathrm{OC}=\mathrm{OD}$[/tex].

So, [tex]$\mathrm{AO}$[/tex] is the median of[tex]$\triangle \mathrm{ACD}$[/tex]

Also we know that median divides a triangle into two triangles of equal areas.

∴ar(ΔAOC)=ar(ΔAOD) _______ (1)

Similarly , In[tex]$\triangle \mathrm{BCD}$[/tex],

[tex]$\mathrm{BO}$[/tex]is the median. ([tex]$\mathrm{CD}$[/tex] bisected by [tex]$\mathrm{AB}$[/tex] at [tex]$\mathrm{O}$[/tex])

∴ar(ΔBOC)=ar(ΔBOD) _______ (2)

On adding equation (1) and (2) we get,

ar(ΔAOC)+ar(ΔBOC)=ar(ΔAOD)+ar(ΔBOD)

∴ar(ΔABC)=ar(ΔABD)

The complete question is,

In figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

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Step-by-step explanation:

for a plane defined as

Ax + By + Cz + D = 0

(A, B, C) is the normal vector (90° with the plane).

so, we know with the given normal vector (-6, 3, -3) that

A = -6

B = 3

C = -3

we are only missing D.

for that we use the given point (7, -4, 5) :

-6×7 + 3×-4 + -3×5 = D

-42 - 12 - 15 = D

-69 = D

Answer:

8

Step-by-step explanation:

[tex]mean = \frac{sum \: of \: numbers}{how \: many \: numbers \: there \: are} [/tex]

[tex]mean = \frac{6 + 11 + 7 + 13 + 3}{5} [/tex]

[tex] mean = \frac{40}{5} = 8[/tex]

Answer: 34.3527303398

Step-by-step explanation: hope it is right

Answer:

2+2×2+2×2+2:2

Step-by-step explanation:

well the answer would be 2×2×2+2+2+2

4×2+2+2

8+2+2

10+2

12:2=8

that's the best that I could solve

The cash from financing activities for Majka Company, can be found to be

The net amount of financing a business generates during a specific time period is called cash flow from financing activities. The issuing and repayment of equities, the payment of dividends, the issuance and repayment of debt, and capital lease obligations are all examples of financial activity.

The cash from Financing activities for Majka Company is therefore:

= Common stock issued - Cash dividends

= 52, 500 - 3, 100

= $ 49, 400

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The full question is:

Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following accounting events: (1) Issued 52,500 worth of common stock (2) earned cash revenues of $33,400, (3) paid cash expenses of $14,800, and (4) paid a $3,100 cash dividend to its stockholders. These were the only events that affected the company during Year 1.

What were the cash flows from financing for the year?

The number of square centimeters of the cylinder that Mariah painted is given as follows:

36π cm².

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

Mariah made a cylinder out of clay that had a radius of 6 cm and a volume of 72π cm^3, hence the height of the cylinder is obtained as follows:

36πh = 72π

h = 2.

The surface area of a cylinder is obtained as follows:

S = 2π r h + 2π r

Hence it's value is of:

S = 2π x (2 x 6 + 6)

S = 36π cm².

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Taking w as the unknown number, the equation for the given statement is 2(w-8) = 5.

To solve this problem, we need to convert the given statement in mathematical form.

We assume that "w" is the unknown number in the equation.

First, we have to take a closer look at the given statement. It was stated that "twice the different of...  is equal to 5".  It shows that the result of equation 5 is the double value of another equation. We assume the unknown equation as y. Then:

2y = 5

Next, the rest of the statement stated that "a number and 8". From this part of statement, we know that the unknown equation "y" we assume above should be replace with "w-8". Hence:

2(w - 8) = 5

If we want to solve this question, we can solve it by dividing both sides with 2:

2(w - 8) = 5

------------------- : 2

w - 8 = 5/2

w = 5/2+ 8

w = 10.5

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Based on this information, the conclusion about weight and calories burned per minute that is true is: D. For each additional pound of weight, calories burned per minute increases by 0.05 calories.

In Mathematics, the slope-intercept form of a line can be represented or modeled by using this linear equation:

y = mx + c

Where:

Based on the information provided about the data for weight (in pounds) and calories burned per minute, a regression equation that models the situation is given by:

ŷ = 2.2 + 0.05x

Where:

In conclusion, we can logically deduce that the amount of calories burned per minute increases by 0.05 calories for each additional pounds of weight.

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Complete Question:

a.) For each additional pounds of weight, calories burned per minute increases by 2.2 calories.

b.) For each additional pounds of weight, calories burned per minute stays relatively the same.

c.) For each additional pounds of weight, calories burned per minute decreases by 0.05 calories.

d.) For each additional pounds of weight, calories burned per minute  increases by 0.05 calories.

Numbers written from 30 to 65 including 30 and 65 = 36 numbers

A number is a basic component of mathematics. Numbers are used for counting, measuring, keeping things in order, indexing, etc. We have different types of numbers based on their properties such as natural numbers, whole numbers, rational and irrational numbers, integers, real numbers, complex numbers, even and odd numbers, etc.

Given,

Numbers 30 to 65

30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65

Total count of numbers 30 to 65 = 36

Hence, 36 numbers are written from 30 to 65 including 30 and 65.

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When two or more variables vary jointly, their product is always constant. In this case, if 'a' varies jointly with 'b' and 'c' it means that their product is always constant, so abc = k, where k is a constant value.

When a variable 'a' varies inversely as the square of another variable 'd', it means that a*1/d^2 = k, where k is a constant value.

So, if 'b' is tripled, 'c' is doubled and 'd' is doubled, we can see the effect on 'a' by substituting the new values into the equations.

abc = k => a3b2c = k

a1/d^2 = k => a1/(2d)^2 = k

So the effect on 'a' if 'b' is tripled, 'c' is doubled, and 'd' is doubled is that it will be divided by 4.

a3b2c = a1/(2d)^2 => a = k / (3b2c*(2d)^2) = (k/(12bcd^2))

So a = k/(12bcd^2) = a/4.

Therefore, the value of 'a' is decreased by a factor of 4.

The true statements are;

a) 12 ÷ 12 = 7 ÷ 7 (both side are equal to 1)

b) 6 ÷ 1 < 9 ÷ 1 ( The left quotient is less than the right)

c) 12 ÷ 3 > 12 ÷ 6 (The left quotient is greater than the right)

d) 10 ÷ 5 < 10 ÷ 1 ( The left quotient is less than the right)

We have to note that the true statements have to be the statements that satisfy the in equality that have been written in the question. We would have to look at the inequality in the question and then decide whether or not it is true.

Let us note that the in equality must take into account the expressions that are on both sides and then know if it holds true under all the circumstances that are possible mathematically.

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The value of the conditional Probability is P(A|B) is 1/3.

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, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The main distinction between a probability and a conditional probability is that a probability is the likelihood of an event, such as A, occurring, whereas a conditional probability assumes that another event, such as B, has already happened in order to define the probability of an event, such as in the conditional probability of A given B.

Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. P(A|B) illustrates it.

By, Conditional Probability :

P (A∩B) =P (A∩B') - P(B)= 4/9 - 1/3 = 1/9

P(A|B) = P (A∩B)/ P(B)

           = (1/9)/(1/3) =  1/3

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The result of the convolution integral is the same as the solution obtained in part (a).

a. Solving the ODE with y(0) = 0 using integrating factors,

multiplying both sides of the equation by e^4t, we get

e^4t y' + 4e^4t y = 4e^-te^4t

Integrating both sides,

∫ (e^4t y' + 4e^4t y) dt = ∫ 4e^-te^4t dt

Therefore,

e^4t y = ∫ 4e^-te^4t dt + C

Since y(0) = 0, C = 0,

y = 1/4 ∫ 4e^-te^4t dt

Using integration by parts,

y = 1/4 [te^-t + 4/3 e^-t]

Therefore,

y(t) = 1/4 [te^-t + 4/3 e^-t]

b. The transfer function of the system is given by

H(s) = Y(s)/F(s) = 1/4s/(s+4)

c. The impulse response of the system is given by

h(t) = L^-1[H(s)] = 1/4e^-t

d. The convolution integral (h*f)(t) can be evaluated as follows,

(h*f)(t) = ∫ h(t-w)f(w)dw

= ∫ 1/4e^-(t-w) 4e^-w dw

= 1/4 ∫ 4e^-(t+w) dw

= 1/4 [te^-t + 4/3 e^-t]

The result of the convolution integral is the same as the solution obtained in part (a).

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An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. Answer is y = -2x + 9.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

Fundamental Equations and Ideas:

Operational hierarchy: BPEMDAS

Form of the Slope-Intercept: y = mx + b

meter slope

y-intercept of b

Define variables first

Degree (Slope m) = -2

Random thought (1, 7)

Step 2: Locate b's y-intercept

Equation to be written down is y = -2x + b.

Substitute: 7 = -2(1) + b

Add the following factors together to multiply: 7 = -2 + b

2 more on either side:

9 = b

Write a linear equation in step 3

Replace with our freshly discovered b.

y = -2x + 9

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The least common denominator of the fractions  1/2x-6 and 2x/7x-21 is (2x-6)(7x-21)

A fraction can be described as the part of a whole variable or number.

Some types of fractions in mathematics are;

The least common denominator of a fraction can be defined as the smallest number of all the common multiples of the denominators given.

From the information given, we have the fractions as;

1/2x-6 and 2x/7x-21

Note that the denominator of both fractions are

(2x-6)(7x-21)

Since they are in form of expression, the least common denominator is their product.

Hence, the LCD is (2x-6)(7x-21)

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Answer:The t-intercept of a function is the point at which the function crosses the t-axis. To find the t-intercept of the function A(t) = 14,820 - 247t, we need to find the value of t when A(t) = 0. Setting A(t) = 0 and solving for t, we get:

14,820 - 247t = 0

t = (14820/247)

The t-intercept of the function is 60 months, which means that after 60 months (or 5 years) the amount owed on the car will be $0.

The y-interval of a function is the point at which the function crosses the y-axis. To find the y-intercept of the function A(t) = 14,820 - 247t, we need to find the value of A(t) when t = 0.

At t = 0, A(t) = 14,820 - 247(0) = 14,820.

The y-intercept of the function is $14,820 which means that before making the first payment, the cost of the car including tax and interest is $14,820.

Step-by-step explanation:

its 9 of the 7th power

its also 9^7

Answer:

(9)^7

Step-by-step explanation:

All you have to do is count how many 9's you have, and the number you get will be the (power)

Put (9) as the base and then add the power

Which gives us (9)^7

[tex] {9}^{7} [/tex]

The measure of center that best describes each data-set is given as follows:

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than.

The median is usually considered the best measure of center of a data-set, as it is not affected by outliers.

Each of the data-sets in this problem have 7 elements, which is an even cardinality, hence the median is given by the fourth element of the ordered data-set.

The ordered data-set A is given as follows:

0, 0, 1, 2, 2, 3, 4.

The fourth element is of 2, which is the median, and the same procedure is applied for all the other data-sets.

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Answer:25

Step-by-step explanation:

40 multiple by 5 over 8 cross multiplication

The prove that the given expression is divisible by 43 is explained below.

A number is said to be divisible by a given number when it leaves no remainder after the division. Example; show that 7^7 is divisible by 49.

7^7 = 823543

So that;

823543/ 49 = 16807

To prove that the expression is divisible by 43, we have;

7^8 = 5764801

7^7 = 823543

7^6 = 117649

Then,

7^8 - 7^7 + 7^6 = 5764801 - 823543 + 117649

                         = 4941258 + 117649

                         = 5058907

Then,

5058907/ 43 = 117649

Thus the expression is divisible by 43.

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