All categories

3 years ago

Write an expression to show h decreased by 13

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

h-13

Step-by-step explanation:

You might be interested in

Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15

ArbitrLikvidat [17]

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

Or even:

$a_{n} = a_{m}r^{n-m}$

The sum of the first n terms of a geometric sequence is given by:

$S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}$

Finding the common ratio:

$a_{3} = 3.645, a_{8} = 15$

$a_{n} = a_{m}r^{n-m}$

$a_{8} = a_{3}r^{8-3}$

$a_{3}r^{5} = a_{8}$

$3.645r^{5} = 15$

$r^{5} = \frac{15}{3.645}$

$r = \sqrt[5]{\frac{15}{3.645}}$

$r = 1.327$

Finding the first term:

$a_{3} = a_{1}r^{2}$

$a_{1} = \frac{a_{3}}{r^{2}}$

$a_{1} = \frac{3.645}{(1.327)^{2}}$

$a_{1} = 2.07$

Sum of the first nine terms:

$S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44$

The sum of the first nine terms of the sequence is 74.44.

8 0

3 years ago

Read 2 more answers

This rule applies: rational + __________ = irrational.

Vaselesa [24]

Answer:

Rational+irrational =irrational is your answer.

Step-by-step explanation:

Hope it will help you :)

3 0

4 years ago

Can someone find the equation that equals this in algebra tiles

Ronch [10]

Answer:

I am not entirely sure mi amor but my guess is this,

(x^2/1) + 2x

Step-by-step explanation:

As you can see,

Step 1: X^2 is located above x/x. when you divide something by itself for example 2/2 you get one. So x/x equals one, then multiplied by two x.

*DISCLAIMER*

I am not entirely sure if this is correct but given the information provided this is my best guess

I hope this helps!! If you need any more assistance, feel free to hmu!

♥,

Cedë

4 0

3 years ago

What is the length of the third side of the triangle below

masha68 [24]

We need a picture please, we cannot see the triangle

8 0

4 years ago

Marie spends $450.00 at a department store. She has two coupons: one for a 15% discount and one for $50 off any purchase above $

VMariaS [17]

Answer:

Her first coupon ti be used is $50 off a purchase above $300

Final purchase price= $340

Step-by-step explanation:

Marie has two coupons

one for a 15% discount and one for $50 off any purchase above $300.

The stores allow the two coupons to be combined and she spends a total of $450.

Her first coupon ti be used is $50 off a purchase above $300.

So Marie have $400 now

15% off $400= 400-(0.15*400)

15% off $400 = 400-60

15% off $400 =$ 340

6 0

3 years ago

Read 2 more answers