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3 years ago

Which of the following is an arithmetic sequence?

Mathematics

2 answers:

Zigmanuir [339]3 years ago

6 0

The arithmetic sequence is the first one.

Anon25 [30]3 years ago

6 0

Answer:

a)-8;-6;-4;-2....

Step-by-step explanation:

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

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X² + 3x + k = 0<br>pls help

denis-greek [22]

Answer:

$\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}$

Step-by-step explanation:

$x^2+3x+y=0$

$4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2$

$\bold{\mathrm{Therefore\:parabola\:properties\:are:}}$

$\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}$

3 0

3 years ago

In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°

vesna_86 [32]

Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

m(minor arc $\widehat {AC}$ ) = 126°

m(major arc $\widehat {AC}$ ) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = $\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]$

= $\frac{1}{2}(234-126)$

= 54°

Therefore, Option (2) will be the answer.

6 0

3 years ago

Read 2 more answers

The chance of you having the same DNA as another person (other than an identical twin) is approximately 1 in

Sphinxa [80]

Answer:

10×10^-13

Hope this helps!

8 0

3 years ago

A countrys population in 1995 was 173 million in 1997 it was 178 million estamate the population in 2005 using the expontial gro

9966 [12]

Answer: the population in 2005 is

199393207

Step-by-step explanation:

The formula for exponential growth which is expressed as

A = P(1 + r/n)^ nt

Where

A represents the population after t years.

n represents the periodic interval at which growth is recorded.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 173 million

A = 178 million

t = 1997 - 1995 = 2 years

n = 1

Therefore

178 × 10^6 = 173 × 10^6(1 + r/1)^2 × 1

178 × 10^6/173 × 10^6 = (1 + r)^2

1.0289 = (1 + r)^2

Taking square root of both sides, it becomes

√1.0289 = √(1 + r)^2

1 + r = 1.0143

r = 1.0143 - 1 = 0.0143

Therefore, in 2005,

t = 2005 - 1995 = 10

A = 173 × 10^6(1 + 0.0143)^10

A = 173 × 10^6(1.0143)^10

A = 199393207

4 0

3 years ago

How do you write 5.3 * 104 in standard form?

mixer [17]

Multiply 5.3 by 104.

Answer: 551.2

3 0

3 years ago