what is the mean for the data showing on the dock clock

Answer:

y = -2/3x-10/3

Step-by-step explanation:

Y= -2/3x+4

This is in slope intercept form

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

The slope is -2/3

Parallel lines have the same slope

y = -2/3 x+b

Substitute the point into the equation

-2 = -2/3 (-2) +b

-2 = 4/3 +b

Subtract 4/3 from each side

-6/3 -4/3 = 4/3 -4/3 +b

-10/3 = b

y = -2/3x-10/3

Among the given word problems, the one that exemplifies a linear function is:

Kate rented a bicycle for $30 plus $1.50 per hour.

A linear function is a mathematical function that represents a straight line. It has a constant rate of change and can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Among the given word problems, the one that exemplifies a linear function is:

Kate rented a bicycle for $30 plus $1.50 per hour.

In this scenario, the cost of renting the bicycle is determined by a fixed fee of $30 plus an additional charge of $1.50 per hour. The relationship between the total cost and the number of hours can be represented by a linear equation, where the cost increases at a constant rate of $1.50 per hour.

The other two word problems do not represent linear functions. Pinocchio's nose growing by 20% each time he lies involves exponential growth, and the mean distance of the earth from the sun varying by 1.6 million miles represents a variable relationship, not a linear one.

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Answer:

x=11°

Step-by-step explanation:

If we stretch line segment B(and use the theorem of same side interior angles) we see that 2x+33°=5x

5x-2x=3x

33°=3x

x=11°

Answer:

x = 11

Step-by-step explanation:

55-22=33

all these numbers are multiples of 11

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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Answer:

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x), from x = a to x = b, is given by:

\(A = \frac{f(b)-f(a)}{b-a}\)

In this question:

\(f(x) = 12(1.03)^n\)

From n = 3 to n = 10

\(a = 3, b = 10\)

\(f(b) = f(10) = 12(1.03)^{10} = 16.13\)

\(f(a) = f(3) = 12(1.03)^{3} = 13.11\)

Average rate of change:

\(A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314\)

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

9514 1404 393

Answer:

  20, 31, 42, 53, 64, 75, 86, 97

Step-by-step explanation:

The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...

  20, 31, 42, 53, 64, 75, 86, 97

_____

If t and o are the tens and ones digits respectively, the relation you seek is ...

  (10t +o) -(10o +t) = 18

  9(t -o) = 18

  t - o = 2 . . . . as above

Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.

Answer:

10a+b=10b+a-18

9a+9b = -18

9(a+b) = -18

a+b = 18/9

a + b =2

Step-by-step explanation:

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

9514 1404 393

Answer:

  -11/2x -5/12

Step-by-step explanation:

Eliminate parentheses and collect terms.

  9/4 -2(4x +4/3) +5/2x . . . . given

  = 9/4 -8x -8/3 +5/2x

  = (-16/2 +5/2)x +27/12 -32/12 . . . . use common denominators

  = -11/2x -5/12

Answer:

Okayyy then...........

Answer:

20

Step-by-step explanation:

The integer is the numerical part, 20.

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer: In point C.

Step-by-step explanation:

Plane ADB is the plane that contains the points A, D and B.

If you look in the image, you can see that point C also does belong to this plane.

Line EC is the line that connects the points E and C.

Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.

Answer:

Monthly charges = $70

Intuition charges = $2710

Step-by-step explanation:

There is intuition fee and per month fee for joining the Pine River country club.

Total cost for 7 months is $3200

Total cost for one and a half years is $3970

one and a half years means 18 months.

To find:

Intuition fee and monthly dues?

Solution:

Let the intuition fee = \(i\)

Let the monthly dues = \(m\)

Total cost for 7 months can be represented as

\(i+7m = 3200\) ..... (1)

Total cost for 18 months can be represented as

\(i+18m = 3970 .... (2)\)

Here, we have 2 equations and 2 variables whose values are to be found.

Let us use elimination method to solve the equations.

Subtracting equation (1) from (2):

\(11m = 770\\\Rightarrow m = 70\)

Therefore, the monthly dues are $70.

Using equation (1), we can find the value of \(i\).

\(i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710\)

Therefore, intuition charges are $2710.

Answer:

The answer is 1.25 ʕ•ᴥ•ʔ

Step-by-step explanation:

How you can get this answer is shockingly simple. The first step is to divide "y" by "x" and then get your answer. In this case, the answer is 1.25!

I hope this helps!

Answer:1.25

Step-by-step explanation:

i took the k12 test and got a 100!!

Answer:

60

Step-by-step explanation:

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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Answer:

-7 * (1/3) ^ (n-1)

Step-by-step explanation:

I think the question should be related to going from recursive to explicit form, therefore:

We have that the recursive formula for the given geometric sequence is:

a1 = -7

an = (an-1) * (1/3)

With the above we can assume that:

r = 1/43

following the rule of the explicit formula that is given by:

an = a1 * (r) ^ (n-1)

we substitute and we have:

an = -7 * (1/3) ^ (n-1)

Therefore the explicit formula from the given data would be:

an = -7 * (1/3) ^ (n-1)

Answer:

y = 1/2x + 7

Step-by-step explanation:

y = mx+ b

y = 5

x = -4

5 = 1/2(-4) + b

5 = -2 + b

7 = b

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Step-by-step explanation:

To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,

Volume of pyramid given by:-

V = 1/3*bh

V = 1/3*12*8

V = 4*8

V = 32cm³

Hence the volume of triangular pyramid is 32cm³

4.5, 4.316, 4.32, 4.312

= 4.500, 4.316, 4.320, 4.312

Look at the thousandths and hundreths place in the decimal section.

Least to greatest = 4.312 < 4.316 < 4.32 < 4.5

The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Answer:

\(\boxed {360 m^{3}}\)

Step-by-step explanation:

Water needed to fill the pool = volume of pool

Volume :

Hence, 360 m³ of water has to be filled.

Answer:

360 m³

Step-by-step explanation:

The swimming pool can be modeled as a rectangular prism with the following dimensions:

To find how much water is needed to fill the pool, calculate the volume of the rectangular prism using the given dimensions:

\(\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf length \times width \times height\\\implies \textsf{Volume of pool} & = \sf 12 \times 6 \times 5 \\& = \sf 72 \times 5\\& = \sf 360 \:\: m^3\end{aligned}\)

Therefore, 360 m³ of water is needed to fill the swimming pool.

Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

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Answer:

\(\displaystyle 2\:in.\)

Step-by-step explanation:

\(\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}\)

I am joyous to assist you at any time.

The area of the tarp is 54.125 square feet

From the figure in the question, we have the following angle measure:

DCE= 120

This means that:

<C = DCE - 90

Substitute the known values in the above equation

<C = 120 - 90

Evaluate the difference

<C = 30

The measure of D is then calculated as

<D = 90 - <C

This gives

<C = 90 - 30

Evaluate the difference

<C = 60

Represent the height with h.

This is then calculated as:

sin(D) = h/5

This gives

sin(60) = h/5

Multiply both sides by h

h = 5 * sin(60)

Evaluate

h = 4.33

This is calculated as:

A = 0.5 * (10 + 15) * 4.33

Evaluate

A = 54.125

Hence, the area of the tarp is 54.125 square feet

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Answer:

In the image

Hope this helps!

Step-by-step explanation:

To find the height, first find that ∠D is 60°. This means the height of the trapezoid is approximately 4.3 feet. So, the area of the tarp is approximately 53.7 square feet.

Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

60 + x+3x = 180

60 + 4x = 180

Subtract 60 from each side

60+4x-60 = 180-60

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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