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2 years ago

How How many solutions does the nonlinear system of equations graphed below have?

1 answer:

4 0

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

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A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

statuscvo [17]

Let's start by visualising this concept.

Number of grains on square:
1 2 4 8 16 ...

We can see that it starts to form a geometric sequence, with the common ratio being 2.

For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
$T_n = ar^{n - 1}$
$T_{15} = 2^{14} = 16384$

Thus, there are 16, 384 grains on the fifteenth square.

The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
$S_n = \frac{a(r^{n} - 1)}{r - 1}$
$S_{15} = \frac{2^{15} - 1}{2 - 1}$
$S_{15} = 2^{15} - 1 = 32767$

Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.

6 0

2 years ago

Read 2 more answers

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n

slava [35]

Answer: B: n^2+6n+1

Step-by-step explanation:

A=n

B=2n+6

C=n^2-1

AB-C

n(2n+6)-n^2-1

2n^2+6n-n^2+1

n^2+6n+1

4 0

2 years ago

Read 2 more answers

Leicestershire Renovations has a history of problems with customers who do not pay their bills on time. Leicestershire Renovatio

Flauer [41]

Complete Question.

Leicestershire Renovations has a history of problems with customers who do not pay their bills on time.

Leicestershire Renovations wants to improve its cash situation, reduce bad debts, and reduce credit-collection

costs. Which of the following forms of pricing would most likely help the firm achieve its goal?

a. zone pricing

b. quantity discounts

c. cash discounts

d. by product pricing

e. product bundling

Answer:

c. Cash discounts.

Step-by-step explanation:

Cash discount is a reduction in the amount of an invoice allowed by some sellers of goods or service providers so as to encourage service takers or coients to pay within a specified period of time.

For the client or customer, it is known as the purchase discount while it is a sales discount for the service providers.

Cash discount will help Leicestershire Renovations improve its cash situation, reduce bad debts and reduce credit-collection

7 0

2 years ago

Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a

Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π $r^{2}$

The area of the sector DBC = (54/360)*3.14* $8^{2}$

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

8 0

2 years ago

A business had sales last year of $139,526,000. Write the value of the 9 digit in this number. _________________________________

tresset_1 [31]

Oooooooonnnnnneeeeeeeemmmmmmmmiiiiilllllllliiiiieeee

7 0

2 years ago