help me with this please and thank you​

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]

Since n > 0 then n = 4

The 4th term of the sequence is 54.

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

learn more about sequence here :

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Hello there, hope you are having a nice day.

This is the rule for rounding:

    - Example: 3.4 =>3

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

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~An emotional teen who helps others with joy

Good luck.

Answer:

slope = 3

y-intercept = -5

Step-by-step explanation:

y = mx + b

m = slope; b = y-intercept

y = 3x - 5

y = 3x + (-5)

m = 3 = slope

b = -5 = y-intercept

Answer:

The slope is 3 and the y-intercept is negative 5.

The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.

Step-by-step explanation:

hope this helps. . . <3

good luck!     UwU

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

I just take each answer and multiply it by 7 until the answer matches 39.2.

5.6 * 7 = 39.2

The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

Learn more about slope of a line here:

https://brainly.com/question/1617757

Answer:

It would be 2 times the old perimeter.

Answer:

C. 42

Step-by-step explanation:

Answer:

There is no air resistance acting in the upwards direction, and there is a resultant force acting downwards. ... There is no resultant force and the skydiver reaches terminal velocity. When the parachute opens, the air resistance increases. The skydiver slows down until a new, lower terminal velocity is reached.

Step-by-step explanation:

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

Step-by-step explanation:

I can help you, but first make me brainliest

Answer:

Step-by-step explanation:

320000 is your answer

Answer:

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

We have now:

It's equilateral polygon

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

Answer:

See below:

Step-by-step explanation:

No, it appears to be incorrect if its based off the image you have provided.

I can help you make it correct though.

I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.

Equations

So, to find the slope, we need to get an equation. Most slope's are in the [tex]y=mx+b[/tex]  form which have a few components that we need to know to figure it out.

Now that we know this, we can start breaking i down and soon begin graphing.

The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.

Graphing

To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.

So, our points would be:

Cheers!

Answer:

Graph #2 for sure, both axis are linear and the curve is a parabola all right.

On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. a parallel line must have the same slope.

in our case here it is -3.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-4 = -3×-9 + b = 36 + b

b = -40

so, the full equation of the parallel line is

y = -3x - 40

Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar

Step-by-step explanation:

Answer:

1 tablespoon of dat soap to 2 table spoons of dat vinegar.

Step-by-step explanation:

So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6  twice. So, 1 tablespoon of dish soap  is it 2 table spoons of vinegar.

another way to look at it:

1tbs dish soap = 2tbs vinegar

2tbs dish soap  = 4tbs vinegar

3tbs dish soap = 6tbs vinegar

Answer: B

Step-by-step explanation:

Brainiest please '

Answer:

r = 5q / (p + 10)

Step-by-step explanation:

p = 5(q - 2r)/r

multiply both sides by r

pr = 5(q - 2r)

distribute

pr = 5q  - 10r

add 10r to both sides

pr + 10r = 5q

Factor out r

r(p + 10) = 5q

divide both sides by p + 10

r = 5q / (p + 10)

Exactly what was your answer for a

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

Answer:

[tex]f^{-1}[/tex] (x) = 6 - 4x

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )

4y = - x + 6 ( subtract 6 from both sides )

4y - 6 = - x ( multiply through by - 1 )

- 4y + 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 6 - 4x

Answer:

20

Step-by-step explanation:

Answer:

447 lbs

Step-by-step explanation:

175+154+118=447

Answer:

yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry

Answer:

n = 10, n = -2

Step-by-step explanation:

hope it helps.

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000