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3 years ago

Find the common difference of the arithmetic sequence 4, 1, -2, ...

Mathematics

1 answer:

wel3 years ago

7 0

Answer:

6. i dont kno

Step-by-step explanation:

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Suppose the population of a town is 9,800 and is growing 2% each year. a. Write an equation to model the population growth. b. P

tiny-mole [99]

Answer:

The correct option is A.

Step-by-step explanation:

The general exponential growth model is defined as

$f(x)=a(1+r)^x$

Where, a is initial value, r is growth rate and x is time.

The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as

$f(x)=9800(1+\frac{2}{100})^x$

$f(x)=9800(1+0.02)^x$

$f(x)=9800(1.02)^x$

Put x=7 to find the estimated population after 7 years.

$f(x)=9800(1.02)^7$

$f(x)=11257.119543\approx 11257$

Therefore the correct option is A.

8 0

3 years ago

Distributive property to solve -9(2-p)

Nikitich [7]

Answer:

9p−18

Step-by-step explanation:

Expand by distributing terms

(−9×2 ) (−9×−p)

Simplify
−18−9×−p

Regroup terms

−18−(−9p)

Remove parentheses

9p−18

4 0

2 years ago

You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will have a base of 2 cm. The wi

son4ous [18]

Answer:

The length of each of the other two sides would be 3.1 cm

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

$P=2x+2$

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

$6(2x+2)=50$

Solve for x

$12x+12=50$

$12x=50-12$

$12x=38$

$x=\frac{38}{12}=3.16\ cm$

therefore

The length of each of the other two sides would be 3.1 cm

7 0

3 years ago

What is the answer to this equation?

victus00 [196]

(-1,1)
x is negative one
y is one

3 0

3 years ago

Read 2 more answers

Maths f(x) type of question please help

ExtremeBDS [4]

Since 1 < x < 5, adding each side by a, where a is negative, gives

a > ax > 5a

and adding b to each side gives

a + b > ax + b > 5a + b

5a + b < ax + b < a + b

Since 7 < f(x) < 23, it follows that

5a + b = 7

a + b = 23

Solve for a by eliminating b :

(5a + b) - (a + b) = 7 - 23

4a = -16

a = -4

Solve for b :

-4 + b = 23

b = 27

4 0

3 years ago

Find the common difference of the arithmetic sequence 4, 1, -2, ...​

Find the common difference of the arithmetic sequence 4, 1, -2, ...