The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?​

Answer:

y=-2x-7

Step-by-step explanation:

To find the slope intercept form:

y+mx+b

m is the slope and b is the y-intercept.

We can take the first two points and find the slope by:

[tex]\frac{y2-y1}{x2-x1}[/tex] ->

[tex]\frac{-5-3}{-1- - 5}[/tex] = -2.

That’s the slope.

For the y-intercept we solve the equation:

y=−2(−5)+b -> b = -7

now we have the slope and y-intercept so the equation is:

y=-2x-7

Hope that helps!

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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Answer:

look at the picture ..........

Answer:

Altogether, 420 items will be sold.

Step-by-step explanation:

12 · 35 = 420

Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

Step-by-step explanation:

3/4 = 0.75 inches

24 inches / 0.75 inches

= 32 books

21

2+1=21

is the answer good hqahahahahahah

Answer:

[tex]a_{n} =a_{n-1} -4[/tex]

explanation:

The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex] thus, option (A) is correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

In the given graph, as n increases [tex]a_{n}[/tex] decreases.

At n = 4 , a₄ = a₃ - 4 = 5 - 4 = 1

Thus, [tex]a_{n} = a_{n-1}-4[/tex]  will be the recursive rule.

Hence "The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex]".

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[tex]3(8-6j) = 24 - 18j[/tex]

Answer:

1.5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of  

3

4

:  

4

3

Now, multiply it with the dividend

So,  

9

10

÷  

3

4

=  

9

10

×  

4

3

=  

9 × 4

10 × 3

=  

36

30

After reducing the fraction, the answer is  

6

5

In mixed form: 1

1

5

Answer: 0.075 (decimal form) or (fraction form) 3/40 or 7.5% (percentage form)

Step-by-step explanation:

Answer:

Option D is correct.

Step-by-step explanation:

27.35 x 20/100

=> 2.735 x 2/1

=> $5.47

=> $5.50 (Rounded)

Therefore, Option D is correct.

Hoped this helped.

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

Answer:

A

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

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

y = 2x² - 4x + 5 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3

vertex = (1, 3 ) → A

Answer:

GCF= 11

Step-by-step explanation:

Answer: 2/8 first answer, 6/2 second answer, 3/2 last answer

Step-by-step explanation: The slope should be the rise over the run, so the answer to the first question would be 2/8 which is rise/run which equals the slope the second answer would be 6/2=slope and the the answer to the last question is 3/2 you start from one point, rise until you get next to the other point on the graph, then you run until you get on that point, the you count your rise which will be the top number of your fraction and then you count your run which will be the bottom number of your fraction. I hope this helped if you could even make sense of all of this.

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

__

1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

__

2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

__

3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

_____

Additional comment

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.

Answer:

1. = 5x+3

Step-by-step explanation:

Answer:

The missing length is 10.44

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

√c^2 = √109

c = √109

c ≈ 10.440307

c ≈ 10.44

Answer:

10.44

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

3²+10²=c²

9+100=c²........simplify

109=c².............add

√109=c

10.44031

10.44................round to the nearest hundredth

Answer:

So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions

Step-by-step explanation:

Answer:

Mike

Step-by-step explanation:

17% = .17

.7 = .70

All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)

Answer:

Brett used the most

Step-by-step explanation:

Martha used = 17%

Brett used = 0.18 = 18/100 = 18%

Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)

Therefore, Brett used the greatest amount of oil.

Answer:

Mitchell multiplies  −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.

Step-by-step explanation:

Answer:

34p-16

Step-by-step explanation:

Perimeter of parallelogram

= 2(9p-10)+2(8p+2)

= 18p-20+16p+4

= 34p-16

Answer:

-4

Step-by-step explanation:

so t is greater than -5, and for negatives, you need to get nearer zero.

Answer:

3²

Step-by-step explanation:

3³x3³=3^6

3^6÷3^4=3²

Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

Answer:

0,212205882352941

Step-by-step explanation:

The TVM solver is a tool found in graphing calculators, that solve Time

Value of Money problems.

Reasons:

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]

Which gives;

[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]

I = 0.003 × 12 = 0.036 = 3.6%

N = n × t = 24

[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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