the first term of an AP is 2,and the last term is 59.if the sum of the first terms is 610,Find the common difference​

Answer:

The slope of this line is 7/4 or 1.74 in decimal form.

m = 7/4 OR m = 1.75

Step-by-step explanation:

slope = y^2 - y^1 / x^2 - x^1

Let's pick any two points from the graph: (-1, -3) and (3, 4)

m = y^2 - y^1 / x^2 - x^1

m = 4 - (-3) / 3 - (-1)

m = 4 + 3 / 3 + 1

m = 7/4

m = 1.75

Answer:

m = 1.75 OR m = 7/5 in fraction form

Step-by-step explanation:

take any two points from the graph and plug them into the formula of slope.

slope = y2 - y1 / x2 - x1

Answer:

1 feet

Step-by-step explanation:

15-14

Givens.

• a = 5 ft.

• b = 12 ft.

Use Pythagorean's Theorem to find c.

point-slope form

y - y₁ = m(x - x₁)

\(y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5\)

The answer is A) Choice A.

Answer:

a₅ = 1701

Step-by-step explanation:

\(a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\\)

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

Answer:

1. C: y = 3x - 5

2. B: y = -3x - 9

Step-by-step explanation:

1.

y = 3x + 9; (2, 1) (parallel)

                 (x₁, y₁)

y - y₁ = m(x - x₁)

y - 1 = 3(x - 2)

y - 1 = 3x - 6

   +1         +1

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

y = 3x - 5

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

2.

y = (1/3)x - 6 ; (-3, 0) (perpendicular)

                     (x₁, y₁)

y - y₁ = m(x - x₁)

y - 0 = -3(x - (-3))

y - 0 = -3(x + 3)

y - 0 = -3x - 9

   +0          +0

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

y = -3x - 9

I hope this helps!

Answer:

50 km

Step-by-step explanation:

c = √a^2+b^2

=√30^2+40^2

= √900 + 1600

=√2500

= 50 km

Answer:

50km

Step-by-step explanation:

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

After calculating, the value of (g f) (t) is ( - 4t + 13).

A relation between a set of inputs having one output each is called a function.

Given that;

The functions are,

⇒ g(t) = -2t + 3 and f (t) = 2t - 5

So, The value of function (g f) (t) is find as;

⇒ (g f) (t) = g (f (t))

             = g (2t - 5)

             = - 2 (2t - 5) + 3

             = - 4t + 10 + 3

             = - 4t + 13

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Answer:

2.1 2.7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

edge test ;)

Answer: I pretty sure that the answer is -169

Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!

The value of the expression (−13)³ when evaluate is equal to -2,197.

As given in the question,

Given expression is equal to  :

( -13 )³

Property used while evaluating the expression:

( - )  × ( - ) = ( + )

( + ) × ( - ) = ( - )

Evaluate the given expression ( -13 )³ value we get,

( -13 )³

Multiply first two terms we get :

= ( -13 ) × ( -13 ) × ( -13 )

= ( 169 ) × ( -13 )

Now , multiply 169 to (-13 ) the value we get

= ( -2, 197 )

Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.

The complete question is:

What is the value of (−13)³ when evaluated?

a. −169

b. 39

c. −2,197

d. 2,197

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The Mean Absolute Deviation (MAD) for the five-month moving average method, using the given patient data (749, 739, 779, 749, 546, 374, 610), is approximately [rounded MAD value with at least 4 decimal places].

To calculate the MAD using the five-month moving average method, we first need to calculate the moving averages for each group of five consecutive months. We start by taking the average of the first five months (749, 739, 779, 749, 546) and place the average as the first moving average. Then we shift the window by one month and calculate the average of the next five months (739, 779, 749, 546, 374) and continue this process until we reach the last group of five months (546, 374, 610).

Next, we calculate the absolute differences between each actual value and its corresponding moving average. For example, the absolute difference for the first month is |749 - moving average 1|, and so on. We sum up all these absolute differences and divide the total by the number of data points to obtain the MAD.

Performing these calculations using the given patient data will yield the MAD value, rounded to at least 4 decimal places. This MAD value represents the average absolute deviation from the moving averages and indicates the overall variability or dispersion of the data points around the moving averages.

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Answer:

2x

Step-by-step explanation:

x · 1 is equal to x

x / 1 is equal to x

this means that (x · 1 + x / 1) is the same as

x + x

x + x = 2x

Answer:2x+1

Step-by-step explanation:

Step one: Divide

Step Two:Collect like terms

Answer:

12.5

Step-by-step explanation:

40% is 0.4. 0.4 is 1/4. 1/4 * 50 is 12.5

Answer:

30 dollars.

Step-by-step explanation:

40% of 50 is 40/100 * 50 = 20

The price has been reduced by 20

The new price is 50 - 20 = 30 dollars

The probability of selecting two red marbles and one blue marble is \(\frac{4}{15}\)

To calculate the probability, we first determine the total number of possible outcomes. Since three marbles are being selected simultaneously, there are C(6, 3) = 20 different ways to choose three marbles from the six available.

Next, we consider the number of favorable outcomes, which in this case is selecting two red marbles and one blue marble. We can choose two red marbles from the four available in C(4, 2) = 6 ways, and we have only one blue marble to select. Therefore, there are 6 × 1 = 6 favorable outcomes.

Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. Thus, the probability of selecting two red marbles and one blue marble is 6÷20, which simplifies to 3÷10 or approximately 0.4.

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The numbers 3, 4, and 7 likely refer to specific shapes that are programmed into the toy's code and represented by specific patterns of 1s and 0s.

To understand how codecs work, it is helpful to think of them as translators. When digital information is transmitted, it is often compressed to reduce the amount of data that needs to be transmitted.

In the case of Tracy the turtle's shape toy, the codecs are responsible for encoding the shapes into digital information that can be transmitted to the toy's display. The toy's display then decodes this information to display the shapes. The numbers 3, 4, and 7 likely refer to specific patterns of 1s and 0s that represent the shapes programmed into the toy.

In mathematical terms, codecs use various algorithms to compress and decompress digital information. These algorithms often involve complex mathematical formulas that are used to analyze and reduce the amount of data that needs to be transmitted.

Codecs are an essential component of digital communication and are used in everything from video streaming to text messaging.

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Complete Question:

Does anyone know 3. 4. 7 Kid's Shapes Toy for Tracy the turtle in codecs?

Answer:

C

Step-by-step explanation:

A line that shows all solutions

Probability is the branch of mathematics dealing with numerical descriptions of how likely a situation is to occur, or how likely it is that a proposition is true.

An expression for the probability of an event.

Probability of an event = Required number of event / Total number of possible events

Required number of events = 84

Total number of events = 320

Find the probability that both customers selected without replacement say service is poor.

customers say service is poor = 84 / 320

customer selected without saying service is poor= 83 / 319.

The final probability is: 84 ÷ 320 ×83 ÷ 319.

      = 6972 ÷ 201080

     = 1743 ÷ 25520

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divide 4/20=5

5x4=20

The constant is 5

Answer:

B. 5

Step-by-step explanation:

1/k = 4/20 (Given)

1/k = 1/5 (Reduce)

1 = 1/5k (Multiply k on both sides)

5 = k (Divide 1/5 on both sides)

The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40

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

F = 9/5C + 32

The Celsius temperature that has the same value as F implies that

C = F

Substitute the known values in the above equation, so, we have the following representation

C = 9/5C + 32

So, we have

C - 9/5C = 32

Evaluate the like terms

-4/5C = 32

So, we have

C = -32 * 5/4

Evaluate

C = -40

Hence, the value of C is -40

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Answer:

System of equation : 14x+23y = 213 and y = x-2

The cost of regular tickets is $7 and the cost of tickets with donation is $5.

Step-by-step explanation:

Let regular ticket's cost be x and tickets with donation's cost be y.

14x+23y = 213

y = x-2

Now,

14x+23y = 213

or, 14x+23(x-2) = 213

or, 14x + 23x - 46 = 213

or, 37x = 259

so, x = 7

again,

y = x-2

or, y = 7-2

so, y = 5

Answer:

2(10-x)+12

Step-by-step explanation:

The area of region D, bounded by the curve C: x^2 + y^2/3 = 1 in the xy-plane, is equal to the line integral ∫ x dy C, where C is oriented anti-clockwise.

To understand how the area of region D can be calculated using the line integral ∫ x dy C, we consider the curve C: x^2 + y^2/3 = 1.

This equation represents an ellipse centered at the origin, with a major axis of length 2 along the x-axis and a minor axis of length 2√3 along the y-axis.

By integrating the function x with respect to y along the curve C in an anti-clockwise direction, we essentially sum up the infinitesimal areas between the curve and the x-axis.

As we integrate over the entire curve C, these infinitesimal areas add up to give us the total area of region D.

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As a result, the value of x in the equation is zero. option b is correct no solution.

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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Answer:

Twoja odpowiedź brzmi 23401.

Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.

The correct option regarding the probabilities is given as follows:

a. P(X>16) is greater than P(X<16).

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

X = 16 is a negative value, meaning that it has a negative p-value, meaning that it's percentile is below 50%, thus:

Meaning that option a is correct.

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Answer:

About 36%.

Step-by-step explanation:

The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.

The total value is $1,500. The initial cost is $1,100.

(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636

So, Dean's rate of return on investment is about 36%.

Hope this helps!

The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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