Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
An = ?

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

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Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].

In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).

Then, we can proceed as follows.

[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]

We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so

[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]

So, the highest point in the ball's trajectory is 12 feet.

Answer:

Initial height = 1ft

Heighest height = 12ft

Step-by-step explanation:

In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)

So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]

which yields:

[tex]f(0)=1 [/tex]

so the height of the ball when it is kicked is 1 ft.

In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)

the vertex is found by using the following formula:

[tex]x=-\frac{b}{2a}[/tex]

in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:

[tex]f(x)=ax^{2}+bx+c[/tex]

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

so:

a=-0.11

b=2.2

c=1

so the vertex formula will be:

[tex]x=-\frac{b}{2a}[/tex]

[tex]x=-\frac{2.2}{2(-0.11)}[/tex]

so we get that the highest point will happen when x=10ft

so the highest point will be:

[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]

f(10)=12ft

so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.

Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

HOPE IT HELPS:)

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

there

Answer:

The answer is .007874989

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

Answer:

A

Step-by-step explanation:

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {hypo.}^{2} = 225[/tex]

[tex]hypo. = \sqrt{225} [/tex]

[tex]hypo. = 15 \: \: units[/tex]

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 15 \div 2[/tex]

[tex]radius = 7.5 \: \: units[/tex]

Answer: 7.5

Step-by-step explanation: Khan academy

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Answer:

A.

Step-by-step explanation:

Just find the lowest common multiple of 51 and 85.

51 = 3 * 17

85 = 5 * 17

3 * 5 * 17 = 255

The lowest common denominator for the fractions is 17.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

fraction = 8/51 and 19/ 85

Now, LCM of 51 and 85.

51 = 17 x 3

85= 17 x 5

So, the least common multiple is 17.

Hence, the lowest common denominator for the fractions is 17.

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Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

Answer:

Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Step-by-step explanation:

Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]

To find: quotient and remainder

Solution:

In the given question,

Dividend = [tex]5x^4+5x^2+5[/tex]

Divisor = [tex]x^2-x+1[/tex]

[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]

So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Answer:

7x² + 2x + 1

Step-by-step explanation:

(x² - 5x - 2) - (-6x² - 7x - 3)

Now, combine your like-terms together...

(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))

7x² + 2x + 1

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Answer:

0.7853981634

Step-by-step explanation:

it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"

Answer:

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

Answer:

Volume of that pyramid:

V = Base area x Height

  = (9 x 13) x 30

  = 3510 ft3

Hope this helps!

:)

Answer:

Yes they're right, the correct answer is option 3.