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2 years ago

Which expressions are equivalent to k/2?

Mathematics

1 answer:

AURORKA [14]2 years ago

6 0

Answer:

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

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Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

2 years ago

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

ollegr [7]

Answer:

a(1)= -3

a(n)=a(n-1) (-3)

Step-by-step explanation:

hope this helps

8 0

3 years ago

A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by t

Nikolay [14]

<h3>Answer: Max height = 455.6 feet</h3>

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

5 0

3 years ago

How do I answer this question?

bazaltina [42]

Yes because you use the distributive property

3 0

3 years ago

The percent of increase or decrease i. this irem

Nikolay [14]

Since the price is going down, it's going to be a percent decrease. Now to find the percent, we divide the "after" price by the "before" price.

240 / 320 = 0.75 = 75%

The item had a 75% decrease.

3 0

3 years ago