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

The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height? Explain.

Answers

Answer:  No

Step-by-step explanation:

The question is whether 3(4x+2) could ever equal 6(2x+2).  So let's set them equal to each other and find if there is a value of x, the days, where they are equal.

3(4x+2) = 6(2x+2)

12x + 6 = 12x+2

6 = 12??  No

They will bnever be at the same height.  They are growing at the same rate (12x) but starting at different heights (6 and 12)

Tim's phone service charges $24.25 plus an additional $0.18 for each text message sent per month. If Tim's phone bill was $28.75, which equation could be used to find how many text messages, x, Tim sent last month?

Answers

24.25+ .18 = 28.78
hope this helps

0 0
2 6
4 12
6 18
What is the slope?
what is the y-intercept?
Proportional or not proportional?​

Answers

Answer:

a) slope / m = 3

b) y-intercept / b = 0

c) Proportional

Step-by-step explanation:

a)

( y1 - y2 ) / ( x1 - x2 )

( 6 - 12 ) / ( 2 - 4 )

( -6 ) / ( -2 )

6 / 2

3

b)

y = mx + b

6 = 3(2) + b

6 = 6 + b

0 = b

c)

Proportional is when it crosses origin ( 0, 0 ).

Not proportional is when it does not cross origin.

Hopefully this helps!

Brainliest please?

Can anyone help me please anyone please

Answers

Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°


.
1/2 of David's money is
2/3 of Henry's money.

(a) Express David's money as a fraction of Henry's money

Answers

Anwser your own ☝️you’re welcome

Answer:

80

Step-by-step explanation:

math

Properties of Exponents-
Simplify (4a⁵b⁶)⁴ ​

Answers

~exponent

===========================

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²b² ✔️

~ nice to help you ^^

☆Answer :

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²b²

If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?

Answers

Divide 14 and 5 to get 2.8

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Have i done this right, why did i not get the third mark

Answers

Answer:

because you are good with math

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

The morning temperature in Finland was −18.3∘ F. The temperature rose 23.7°F during the day before reaching its high temperature for the day.

What was the high temperature for the day?

Enter your answer in the box.

°F

Answers

Answer:

The high temperature for the day was 5.4°F

Step-by-step explanation:

-18.3 + 23.7= 5.4

The high temperature for the day is 5.4° F.

What is temperature?

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, The morning temperature in Finland was -18.3° F.

The temperature rose 23.7° F during the day before reaching its high temperature for the day.

Now, -18.3°+23.7°

= 5.4° F

Therefore, the high temperature for the day is 5.4° F.

Learn more about the temperature here:

https://brainly.com/question/11464844.

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akiko sells 5 small paintings and 5 large paintings .Each large painting cost $20 more than a small painting .she earns $300. what is the price of a small painting

Answers

Answer:

$20

Step-by-step explanation:

small painting: x

large painting: x + 20

5(x + x + 20) = 300

5(2x + 20) = 300

10x + 100 = 300

10x = 200

x = 20

Answer: $20

Suitcases originally priced at $50 are now on sale for $41. What percentage is the discount?

Answers

discount percent:
100 * (original - discount)/original
original: $50
Discount price: $41
100 * (50-41)/50
100 * (9/50) = 18

The discount percent is 18%

Please help me please 38

Answers

Answer:

8 inches

Step-by-step explanation:

Area of a triangle:

[tex]a=bh/2[/tex]

We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.

[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]

Answer:

8

Step-by-step explanation:

a right triangle is half of a square, so (10*8)/2=10*4=40.



. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.


Answers

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

Read more about domain and range at:

https://brainly.com/question/21853810

-5x+3-2x-4+4x-5= −

x+8m2x+8m2 =

(x+6)(x+6)(x+6)(x+6)

Answers

Answer:

is this even a real question?

Step-by-step explanation:

A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh

Answers

Answer:

Answer: 14.5 pounds

Step-by-step explanation:

Step-by-step explanation: Do 5.8 times 2.5

Answer:

14.5 lb

Step-by-step explanation:

1 bag weighs 5.8 lb.

2.5 bags weight 2.5 × 5.8 lb

2.5 × 5.8 lb = 14.5 lb

This shake is made from five congruent triangles. Find the total area of the shape

Answers

Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]

For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]

- BRAINLIEST answerer

what is 492 divided bye 2 someone help me

Answers

Answer:

246

Step-by-step explanation:

Given that,

→ what is 492 divided by 2 ?

In mathematical form,

→ 492 ÷ 2

→ 246 {final answer}

Hence, the answer is 246.

The students in Tisha's grade voted to select a guest speaker. 75% of the students voted for a famous athlete. If there are 52 students in Tisha's grade, how many students voted for the athlete?

Answers

Answer:

39

Step-by-step explanation:

75% of 52 is 39

Hope this helps!

if u help me your dreams will come true ya know

Answers

Answer:

Area of larger circle = [tex]\pi *r^2=3.14(11^2)=379.94[/tex]

Area of smaller circle = [tex]\pi *r^2=3.14(3^2)=28.26[/tex]

Probability that it lands in the shaded area (smaller circle):

28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)

60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b

Answers

Answer:

a=2.55

b=0.576

c=912.87

f=2.295

Step-by-step explanation:

=15/100*17

=2.55

=17/100*15

=2.55

=1.2/100*48

=0.576

=12/100*480

=57.6

=147/100*621

=912.87

=125/100*549

=686.25

=80/100*2.55

=2.04

=40/100*2a

=40/100*(2*2.55)

=0.4*(5.1)

=2.04

=36/100*2.5(2.55)

=0.36*6.375

=2.295

=1.5/100*80(2.55)

=0.015*(204)

=3.06

find the angles marked with with letters​

Answers

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Mark me BRAINLIEST

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

------------------------------------------------------

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

---------------------------------------------------

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

What is the slope of the equation

Answers

The answer for this question is Undefined

Answer:

Undefined

Step-by-step explanation:

x=-4 is a vertical line (On a graph) so it would be undefined

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answers

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

please help me asap

Answers

It is linear. I hope that helps!


can i get brainliest? i need one more to move up to Ace

x + y = 8
Now let x = 7. What is y?​

Answers

Answer:

1 cuz 7+1=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x=7

y=1

7+1=8

4 divided by 2.48

Use long division

Answers

Answer:

Step-by-step explanation:

The quotient is 0.62 and the remainder is 0.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 2.48 divided by 4.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Here,

4|2.48|0.62

  24

  24

_____

   08

   08

_____

    0

So, quotient is 0.62 and remainder is 0.

Therefore, the quotient is 0.62 and the remainder is 0.

To learn more about the division visit:

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A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people

Answers

Answer:

120

Step-by-step explanation:

10 choose 3

theres really no simple way to do that with work unless you have a fancy calculator.

solve pls brainliest

Answers

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.

Answers

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex]

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

Learn more here:

https://brainly.com/question/17627037

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