if a1=5 and an=an-1 +5 then find the value of a5

Answer:4

Step-by-step explanation:

464565=753

The average power radiated by each square meter of the sun's surface is approximately 386 W/m². This value is calculated by dividing the total power radiated by the sun (approx. 386 billion Megawatts) by its surface area (approx. 6.08 x 10¹⁸ square meters). The formula for the surface area of a sphere is 4πr².

The average power radiated by each square meter of the sun's surface can be calculated as follows:

       The total power radiated by the sun is approximately 386 billion

       Megawatts (3.86 x 10³³ erg/s).

        The surface area of the sun can be calculated using the formula for

        the surface area of a sphere:

        A = 4πr², where r is the radius of the sun (approx. 6.96 x 10⁸

        meters).

        Plugging in the values, we get:

        A = 4π (6.96 x 10⁸)² = 6.08 x 10¹⁸ square meters.

        Finally, divide the total power by the surface area to get the

        average power radiated by each square meter of the sun's surface:

        P = 3.86 x 10³³ erg/s / 6.08 x 10¹⁸ m² = 386 W/m².

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Answer:

x=-2  x=2  x = 1/2   x=3

Step-by-step explanation:

f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12

Graph

We see that there is a zero at -2

Using synthetic division

-2      2   -5  -5   20  -12

             -4   18   -26  12

     ------------------------------  

         2   -9  13  -6     0

This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)

We see that there is a zero at 2

Using synthetic division  ( 2x^3 -9x^2 +13x -6)

2       2   -9  13  -6

              4   -10  6

     ------------------------------  

         2   -5  3  0

This gives us ( x+2)   ( x-2) ( 2x^2 -5x+3)

We can factor  ( 2x^2 -5x+3)

( x+2)   ( x-2)  ( 2x -1) ( x-3)

Using the zero product property

( x+2)=0   ( x-2)=0  ( 2x -1)=0 ( x-3)=0

x=-2  x=2  x = 1/2   x=3

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

The sides of the right triangle are:

a) AC

b) CB

c)  AB

We have the diagram of a right triangle, and we want to identify the side that is opposite to angle B.

That would be the side that does not intercept the vertex B, so it is AC.

Then we want to get the adjacent side to B that is not the hypotenuse.

That would be the side that intercepts vertex B and intercepts the vertex with the small red square, it is CB.

Finally, the vertex is the side opposite to the small red square (90° angle) so it is AB.

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Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3y = -2x

y = x - 5

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

y = -2

x = 3

Step-by-step explanation:

First plug in the y= x-5 equation into the 3y = -2x so that it looks like this:

3(x-5)=-2x

Second after distributing the 3 to the x and -5 you will have an equation that looks like this: 3x -15 = -2x

Then you have keep the x's on one side so you add 2x to both sides and add 15 as well so now you have: 5x = 15

Divide both sides by 5 and get x = 3

To find y, you plug x=3 in in to the y = x-5 and get that y = -2

The volume of the cube shown can be found to be 132. 65 inch ³ .

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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Answer:17

Step-by-step explanation:

Sister 1= x

Sister 2= x+2

Sister 3= x+4

We know that the sum of all the sisters' ages is 57:

x+x+2+x+4= 57

3x+6=57

3x=51

x=17

To find the oldest sister add 4:

17+4= 21

Answer:2x+2

Step-by-step explanation:

The distance for boat is,

=  43.2 miles

Given that;

Edward and Diana walked to the dock at 2 miles per hour, jumped into the boat, and motored to Dillion at 10 miles per hour

Now, For Walk DATA:

Rate = 2 mph ; time = x hrs.

Then, distance = 2x miles

For Boat DATA:

Rate = 10 mph ; time = 5 - x hrs

Then, distance = 10 (5 - x) miles

Hence, We can formulate;

distance + distance = 12 miles

2x + 10 (5 - x) = 20

2x + 50 - 10x = 20

30 = 8x

x = 3.6

Hence, Boat time ,

5 - x = 5 - 3.6 = 1.4 hr (boat time)

And, The value of Boat distance = 12x = 12 x 3.6 = 43.2 miles

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a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

y=14

Step-by-step explanation:

First, rearrange this to make it easier:

y + 6 = 20

20 - 6 = y

14 = y

Substitute to check:

y + 6 = 20

14 + 6 = 20

20 = 20

Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

Answer:

LCM of 30 and 45 is 90

They will leave together after 90 minutes, which is 8:30 am

Answer:

25.64%

Step-by-step explanation:

((Y-X)/X)*100 = Percent Change

X is 39, and Y is 49 that it changed to.

((49-39)/39)*100 = 25.64%

25.64%

Answer: 25.64%

1. Find the difference between 39 and 49 as a number.

2. Divide the result from Step 1 by the starting number 39.

3. Multiply the result from Step 2 by 100 to get it in terms of percent.

Credit goes to this web: https://thepercentagecalculator.net/PercentChange/what-is-the-percent-change-from-39-to-49.html

Answer:

w = -2 + 2z(2x-1)/y

Step-by-step explanation:

(2x-1)/y = (w+2)/2z

2z(2x-1)/y = w+2

-2 + 2z(2x-1)/y = w

0.007, also known as the thousandths place in decimals.

After doing some quick calculations, we can determine that X = −35.9

I hope this helps! :)

Answer:

x = -35.9

Step-by-step explanation:

Subtract both sides by 11.2                                                                                                 11.2 - 11.2 equals zero leaving x on one side.

x = - 24.7 - 11.2

A negative minus another negative number is a larger negative number.

x= -24.7 - 11.2 = -35.9

x = -35.9

Answer:

x = 6.5 ; y = 5

Step-by-step explanation:

This is an equilateral triangle. So in an equilateral triangle , all the sides are equal. Hence :-

\(y + 3 = 2x - 5 = 8\)

Value of x =

\(2x - 5 = 8\)

\( = > 2x = 8 + 5 = 13\)

\( = > x = \frac{13}{2} = 6.5\)

Value of y :-

\(y + 3 = 8\)

\( = > y = 8 - 3 = 5\)

Answer:

x=2

Step-by-step explanation:

4x + 2(x - 4) is equivalent to x +2

first, distribute. 4x+2x-8

next, combine like terms. 6x-8

6x-8 = x+2

we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. (6x-8)+(8-x)=(x+2)+(8-x)

get rid of the parenthesis. 6x-8+8-x=x+2+8-x

combine like terms. 6x-x-8+8=x-x+2+8

solve. 5x=10

divide both by 5. 5x/5=10/5

x=2

Answer:

40 x 13 = $520

13 x 2 = $26

12 x 26 = $312

520 + 312 =$832

The total is $832

hoped it helps

Answer:

With what?

Step-by-step explanation:

Ask the question in the comments sections and I'll try to help you if I know the answer :)

Answer:

Student ticket=$10. Senior ticket=$7

Step-by-step explanation:

If we say Student ticket price = Y. and senior ticket price = X. Then we can say:

\(3x+5y=71\\10x+12y=190\)

We can rewrite one of the equations as y equals:

\(10x=190-12y\)

Then, we simply solve for x.

\(\frac{10x=190-12y}{10}=x=19-1.2y\)

Then, we use the other equation and replace x with the equation we just solved

\(3(19-1.2y)+5y=71\\\)

We simplify and it becomes:

\(57-3.6y+5y=71\)

Then we subtract 57 from each side and get:

\(-3.6y+5y=-14\)

Next, we combine the y and get:

\(1.4y=14\)

Then we divide by 1.4 and get:

\(\frac{1.4y=14}{1.4} =y=10\)

This means that the cost per student ticket is $10

Next we replace the y value in an equation with 10 and solve:

\(3x+5y=71\\3x+5(10)=71\\3x+50=71\\\)

Then we subtract 50 from each side:

\(3x+50=71\\-50\\3x=21\)

Finally, we divide each side by 3:

\(\frac{3x=21}{3} =x=7\)

This means that each senior ticket costs $7

Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer: The best measure of center for skewed data is the median, which is not affected by extreme values. From the given box plot, we can see that the line in the box is at 10, which is also the center of the box. Therefore, the median is the best measure of center, and its value is 10. So the correct answer is:

The median is the best measure of center and equals 10.

Step-by-step explanation:

Answer:

The answer is option D.

The median is the best measure of center and equals 10.

Step-by-step explanation:

Your welcome :) :)

Answer:

Step-by-step explanation:

This is a very confusing, or otherwise incomplete question. The data Eliza recorded from her study at the aquarium is not given, and thus we wouldn't be able to peg a number as the time it took to travel 3100 miles by the whales.

There are lots of date missing, the total number of whales the distance each whale traveled and even, how long each traveled. These missing has essentially rendered the question unsolvable

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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Answer:

here ya go.

Step-by-step explanation:

15=j+9

subtract 9 from both sides.

j= 6

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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