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Mandarinka [93]
3 years ago
13

The first term in a sequence is x. Each subsequent term is three less than twice thw preceding term. what is the 5th term in the

sequence?
A) 8x-21
B) 8x-15
C) 16x-39
D) 16x-45
E) 32x-93 ...?
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
<span>I've solved it by using this sequence:
x, 2x-3,
2(2x-3)-3,
2(2(2x-3)-3)-3,
2(2(2(2x-3)-3)-3)-3
So the answer is </span><span>D) 16x-45.</span>
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A rectangular flying carpet is 1 1/2 m wide and 2 m long what is the area of the carpet
d1i1m1o1n [39]

Hi there! :)

<u>Answer:</u>

The area of the carpet is <u>3m²</u>.


Step-by-step explanation:

First off, the formula to calculate the area of a rectangle is this: A = L × W

Where "A" is the area, "L" the length and "W" the width.

Now that you have that, replace all the information you know in the equation in order to find the value of "A", which is what we are looking for:

- Just keep in mind that 1 1/2 is the same thing as 1.5

- The term "wide" is used to give the "width"

- The term "long" is used to give the "length"


A = L × W

A = 2 × 1.5

<u>A = 3</u>


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
3 years ago
What is an irrational number​
postnew [5]

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers.

4 0
3 years ago
Read 2 more answers
A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the
belka [17]

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce <em>ln</em> on both sides

ln 1.5 = ln 1.025^{t}

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

4 0
3 years ago
What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?
AnnyKZ [126]
Length of arc  = (15/360) * 2*3.14*20  =   5.23  ins

circumference of the circle = 2*3.14*24 = 150.72

angle at center  from 10 ft arc  = (10/150.72)  * 360  = 23.89 degrees


6 0
3 years ago
Read 2 more answers
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new eng
Simora [160]

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

<h3>What is proportionality?</h3>

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

Learn more about proportionality here:
brainly.com/question/8598338

#SPJ2

5 0
2 years ago
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