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2 years ago

What equation represents a population of 210 animals that decrease at an annual rate of 14%?

Mathematics

1 answer:

kumpel [21]2 years ago

8 0

So for this, we will be using exponential form, which is y = ab^x (a = initial value, b = growth/decay).

Since we start off with 210 animals, that is our a variable.

Next, since this is *decreasing* by 14%, you are to subtract 0.14 (14% in decimal form) from 1 to get 0.86. That will be your b variable.

Putting everything together, your equation is y = 210(0.86)^x

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What number is represented by 4x²+17x+2 if x=10?

Fynjy0 [20]

Answer:

at x = 10, $4x^{2} + 17x + 2 = 572$

Step-by-step explanation:

The given equation is $4x^{2} + 17x + 2$

Here, lets substitute the value of x = 10

So, the equation simplifies to ,

$4 \times (10)^{2} + 17(10) + 2$

= (4 x 100) + 170 + 2 = 400 + 170 + 2

= 572

So, at x = 10, $4x^{2} + 17x + 2 = 572$

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1 year ago

The human eye blinks about 6.25x10 to the 6th power times each year. A seal blinks about 1.01x10 to the 3rd power times per year

OLEGan [10]

A human blinks 6,250,000 times a year.
A seal blinks 1,010 times a year.

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2 years ago

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo

Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

No. of people work for the manager = 50

X = 3, 4 , 5 , 6 , 7, 8

P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒ $0.1+?+0.14+0.3+0.36+0.06 = 1$

⇒ $0.96+? = 1$

⇒ $?= 1-0.96$

⇒ $? = 0.04$

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

$0.04\times 50$

⇒ 2 no. of people work for four hours per shift .

5 0

2 years ago

Read 2 more answers

One factor of the polynomial x^3 − 7x^2 + 13x − 3 is (x − 3). What is the other factor of the polynomial? (Note: Use long or syn

Elden [556K]

Answer:

Option (B)

Step-by-step explanation:

Given polynomial in the question is,

x³ - 7x² + 13x - 3

One factor of the polynomial is (x - 3).

That means x = 3 is a zero factor of the polynomial.

For the other factor,

By using synthetic division,

3 | 1 -7 13 -3

1 -4 1 0

= (x² - 4x + 1)(x - 3)

Therefore, the other factor of the polynomial is (x² - 4x + 1).

Option (B) will be the answer.

5 0

2 years ago

On a piece of paper, graph y< x-3. Then determine which answer matches<br> the graph you drew

Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

$y$

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

$y=x-3$

Now, we plot this line on a graph. The given line is of the form:

$y=mx+b$ Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line $y=x-3$ , $m=1,b=-3$

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, $0=x-3\\x=3$

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality $y$ . The 'y' value is less than $x-3$ . So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0

2 years ago