The nth term of a sequence is 3n² Work out the value of the 15th term.​

Answers

Answer 1

Answer:

a₁₅ = 675

Step-by-step explanation:

Substitute n = 15 into the nth term formula

a₁₅ = 3(15)² = 3 × 225 = 675


Related Questions

Answer number 11 to see if your smarter than my students

Answers

the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+

What is 1 and 1/4 - 3/8?

Answers

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

What is more important: to formulate a believable, testable hypothesis or to develop a good strategy to test the hypothesis accurately

Answers

Answer:

It's a matter of opinion. In my opinion you can hypothesize all you want, when  you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.

Step-by-step explanation:

I really need help with this and happy thanksgiving

Answers

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

Without graphing, find the slope of the line that goes through (2,-1) and (6,1)

Answers

Answer:

-7

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-1-6/2-1

-7/1

= -7

2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?

Answers

The answer is it will stretch 20 cm

Please help me. I’m so confused

Answers

Answer:

probably 2.............

Need help on this! Plz help

Answers

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?

Answers

Answer:

4.38, aka 219/50

Step-by-step explanation:

The ratio of roses to carnations to daisies in
a flower bouquet is 2:5:6. The bouquet has
39 flowers. How many carnations are in the
bouquet?

Answers

Answer:

10

Step-by-step explanation:

10 10 10 1010 10 101 10 10 1o

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

20.63%

Step-by-step explanation:

189-20.63%=150,0093

Answer:

20.63%

Step-by-step explanation:

% change = (New Value - Initial Value)/(Initial Value) * 100

                 = (150-189)/189 * 100

                 = -20.63%

Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.

Hopefully this helps!!

x+3y=23
x-2y= -17
help elimationmethod

Answers

Answer:

1. 20

2.19

ok that will help you


4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2

Answers

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

Find the measure of the missing angle.
30°
a=

Answers

Answer:

the measurement of a is 60°............

Answer:

A=60

Step-by-step explanation:

it adds up to 180 so subtract 30 and 90 for the right angle and you got 60

Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:

f(d)=0.69d−1

and the function gg for exchanging British pounds for Euros is given by the formula

g(p)=1.3p−2

Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?


Answers

The two-step exchange process is an illustration of composite functions

The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 Euros

Converting from dollars to British pounds, we have:

[tex]\mathbf{f(d) = 0.69d - 1}[/tex]

Converting from British pounds to Euro, we have:

[tex]\mathbf{g(p) = 1.3p - 2}[/tex]

(a) Function that converts dollars to Euro

To do this, we simply calculate gf(d)

So, we have:

[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]

Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]

[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]

Expand

[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]

[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]

Rewrite as:

[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

(b) Euro equivalent of $450

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 450 for d

[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 400.35}[/tex]

Hence, you would receive 400.35 Euros, when you exchange 450 dollars

(c) Dollar equivalent of 60 Euros

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 60 for g(d)

[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]

Add 3.3 to both sides

[tex]\mathbf{0.897d = 63.3 }[/tex]

Divide both sides by 0.897

[tex]\mathbf{d = 70.6}[/tex]

Hence, you would receive 70.6 dollars, when you exchange 60 Euros

Read more about composite functions at:

https://brainly.com/question/20379727

Consider the line y = 3/5x + 4.

Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)

Answers

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2

what is the gcf of 8 and 11?

Answers

To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.

With that being said, let's begin.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Simply add 8.

11: 11, 22, 33, 44, 55, 66, 77, 88

Simply add 11.

The greatest common factor of 8 and 11 is 88.

-4x + 60 < 72 or 14x + < -31

Answers

x=31/14

Step-by-step explanation:

I did the second one btw

Somebody plz help ????? I need the answer to this

Answers

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3

Answers

Answer:

C, you chose the correct answer! Good job. ¯\_(ツ)_/¯

Step-by-step explanation:

3÷[tex]\frac{2}{3}=3[/tex]

Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯

Hope this helps!

-❤AbqveNatural❤

Answer:

e

Step-by-step explanation:

e


Find -5(-12) + (-15)
With explanation please i forgot how to do it

Answers

Answer:

45

Step-by-step explanation:

-5(-12)+(-15)

--> Multiply -5 and -12 to get 60

60-15

--> Subtract 15 from 60 to get 45

Hope this helps you!

2) Which of the following represents an equation of a line parallel to one whose equation is 2y + 8x = 18?
A) y = -4x + 3
B) y = 4x+ 7
C) y = 8x + 2
D) y = -8x + 9

Answers

Parallel has the same slope
2y + 8x = 18
Make it slope in form: y = mx + b
Divide the equation by 2
y + 4x = 9
Now subtract 4x
Y = -4x + 9
The slope is -4
Which equation also has same slope?

Solution: A

Answer:

A

-by-step explanation:

i have that exact question

ummmm help me cause i am the queen ya know

Answers

Answer:

80 square units

Step-by-step explanation:

I am in a rush so this might not be right but probably is


6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°

Answers

it would be c . 1.20

Find the unit rate for each problem​

Answers

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1. Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2. Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3.  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?

Answers

Answer:

9.96

Step-by-step explanation:

12 * .83

Answer:

10 hours

Step-by-step explanation:

83% of 12 hours = 0.83 * 12 hours = 10 hours

If S = 1/2, what number does 4s equal?​

Answers

Step-by-step explanation:

If [tex]s=\frac{1}{2}[/tex], then:

[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]

The number 4S equals if S = 1/2 is 2, 4S = 2.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

S = 1 / 2

Calculate the value of 4S as shown below,

4 × S = 4 × 1 / 2

4S = 2

Thus, 4S = 2

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ2

Find the value of p for which x³+4x²-px+8 is exactly divisible by (x-2) is_____.​

Answers

Given Polynomial P(x) = x^3+4x^2-px+8

Given that P(x) is exactly divisible by (x-2) then by

factor theorem it is a factor and P(2) = 0

⇛ (2)^3+4(2)^2-p(2)+8 = 0

⇛8+4(4)-2p+8 = 0

⇛ 8+16-2p+8 = 0

⇛ 32-2p = 0

⇛32 = 2p

⇛ 2p = 32

⇛ p = 32/2

⇛ p = 16

Answer:- The value of p is 16.

Read more:

Similar Questions

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...

https://brainly.com/question/12852511?referrer

Answer:

16.

Step-by-step explanation:

By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:

f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0

-2p + 32 = 0

p = 16.

A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function

3 0.5 42 60

Answers

Answer:

Yes

Step-by-step explanation:

f = 24/w

Just plug in each one, would only be an error if denominator would = 0

Define the sample space, S, of a fair coin being tossed once.

S=

A. {H, T}

B. {H, H}

C. {T, T}​

Answers

Answer:

S = { H,T }

Step-by-step explanation:

Sample space is these two outcomes

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