Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...

Answer:

(x+1.5)^2 -10.25

Step-by-step explanation:

1)first, we half 3 to give us 1.5

(x+1.5)^2

2)square 1.5=2.25

so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula

3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8

4) (x+1.5)^2 -2.25 - 8

5)simplify the last part by doing -2.25 - 8= -10.25

6)answer is (x+1.5)^2 - 10.25

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

Answer:

One example for an equivalent fraction would be 2/5 = 4/10

Step-by-step explanation:

It is equivalent because in both the denominator and the numerator you multiply by 2 which means that if you would divide 4/10 by 2 top and bottom, you would get 2/5. If you were to but these fractions on a number line; one on top of the other; they would equally have one under the other.

*** I hope this helps (brainly if possible)

Answer:

x = 3

Step-by-step explanation:

In a parallelogram the diagonals bisect each other , then

6x + 11 = 5x + 14 ( subtract 5x from both sides )

x + 11 = 14 ( subtract 11 from both sides )

x = 3

Answer:

Enzo must have played 11 games.

Step-by-step explanation:

Since Enzo earns 5 tickets from every game and Beatriz wins 11 tickets from each game, we have to find the LCM (Least Common Multiple) since they earned the same amount of tickets when they stopped.

The LCM of 11 and 5 is 55.

To see how many games they both played we have to divide the amount of tickets they earn each time from the LCM (55).

Since Enzo earns 5 tickets from each game and both Enzo and Beatrice earned 55, Enzo must've played 11 games.

(If that makes sense lol)

Answer:

[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]

Step-by-step explanation:

Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:

In order to solve for the average rate of change, we could simply use the average rate of change formula:

Average rate of change = Change in output/Change in input

[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (61, 2002)

    (x₂, y₂) = (71, 2014)

Substitute these values into the average rate of change formula:

[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]

[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].

Answer:157.35

Step-by-step explanation: multiply then add the tax

Answer:

3,5,6

Step-by-step explanation:

because 300 divided by 2 is 150

50 divided by 2 is 25

and 6 divided by 2 is 3

Answer:

4 Meters

Step-by-step explanation:

Formula

divide the length value by 10

Answer:The rate of change is the number of inches grown per month, and

the initial value is the starting height.

Step-by-step explanation:

The rate of change is the starting height, and the initial value is the

number of inches grown per month.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept

Given,

A sunflower is 13 inches tall and grows 41 inches each month.

The sunflower's height is a linear function of time.

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

y=13+41x.

Here x represents the number of months

13 is the initial height of the sunflower.

In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes  the rate of change and initial value of this function

Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month

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Answer:

(-1,-1)A

B (1,-3)

C (-2,-4)

Answer:

i

Step-by-step explanation:

i think it is a. ..........

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: i don''t know the answer im sorry i hope someone helps you :)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

       2x = 100 - 54

      2x = 46

        x = 46/2

       x = 23

Answer:

13

Explanation-

It is 13 because it is the only one out of all of them that makes sense.

For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

In the given question,

In ²⁰ P ₉, the number of choices are to be found.

To find the choices,

Expand ²⁰ P ₉ by using a formula,

[tex]\rm ^nP_r = n!/(n-r)![/tex]

The number of choices

= 20!/ (20 -9)!

= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!

= 6.0949324 x 10¹⁰

The required number of choices are 6.0949324 x 10¹⁰.

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The complete question is given below.

Answer:

x=34

Step-by-step explanation:

2x-5=3(1/2x+4)

2x-5=3/2x+12

1/2x-5=12

1/2x=17

x=34

Answer:

x=34

Step-by-step explanation:

According to your question, (4 divided by 2/3):-

[tex] \frac{4}{ \frac{2}{3} } [/tex]

By reciprocal, it. becomes:

[tex]4 \times \frac{3}{2} [/tex]

As we know that 2×2 is 4, cancel 4. Then we get:-

[tex]2 \times 3[/tex]

[tex]→6[/tex]

Therefore, the answer is 6

30% × 390 = 117

= 390 - 117

= 507 kw/h

Answer:

you could start by making a definite timetable for yourself and try to get away so as to differentiate the time between your work your Edmonton and a time is spending a computer don't try to spend much more time when your computer because it's mainly due to procrastinating in during other work

Answer:

Yes there is a proportional relationship

Step-by-step explanation:

If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.

Answer:

Easy

Step-by-step explanation:

Answer: 36,000 divided by 90 is 400

Answer:

400

Step-by-step explanation: