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2 years ago

Help me ASAP please guys

Mathematics

2 answers:

Umnica [9.8K]2 years ago

5 0

Hey there! I'm happy to help!

Let's think through all of the possibilities that can get us a seven. We can just start with 1 and then count up.

(1,6)

(6,1)

(2,5)

(5,2)

(3,4)

(4,3)

We see that there are six different possibilities that can gives us a seven. 6/36 is 1/6, so our probability is 1/6.

Have a wonderful day! :D

sukhopar [10]2 years ago

3 0

Answer:

B, 1/6

Step-by-step explanation:

There are many ways to get 7 with two dice. The ways are 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1, which are 6 ways. There are 36 total ways with each dice having 6 possibilities. so 6/36 can be simplified into 1/6

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Alona [7]

Answer:

The answer is the last one

Step-by-step explanation:

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3 years ago

Using the given points, write a Linear Equation in Slope Intercept form. (0, 3) and (-5, 6) Show work to determine the slope on

Sophie [7]

Find slope: (y2-y1)/(x2-x1)
(6-3)/(-5-0) = 3/-5 = -3/5
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2 years ago

The function y = 58. 7(1. 03)^t gives a country’s population, y (in millions), where t is the number of years since January 1994

GREYUIT [131]

Answer:

Approximate population ≈ 74.36 million.

Step-by-step explanation:

The given problem involves modeling of an exponential growth or decay function of a population.

<h2>Definition:</h2>

Exponential growth ( relative growth ) occurs when a population grows or increases exponentially by the same factor, over the same amount of time.
Exponential decay occurs when a population decreases continuously by a constant factor, over the same amount of time.

We can model the exponential growth of a population using the following Exponential Growth Model:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) = population after "t" years
P₀ = initial population
r = relative growth rate; positive "r" value means that the population is increasing; negative "r" value implies that the population is decreasing.
t = time (typically in years)

<h2>Solution:</h2>

Based from the given equation, $\displaystyle\mathsf{y\:=\:58.7(1.03)^t }$ , we can infer that:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$ or $\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) or y = population after "t" years
P₀ = initial population = 58.7
r = relative growth rate = 0.03 or 3% = the population is increasing (exponential growth).
t = time (typically in years) = 8 years (difference between January 2002 and January 1994).

Step 1: Substitute the given values into the Exponential Growth Model formula, and solve for P( t ) :

$\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1\:+\:.03)^8 }$

Step 2: Follow the order of operations, addition inside the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.03)^8 }$

Step 3: Follow the order of operations, applying the exponent into the parenthesis (do not round off the digits inside the parenthesis):

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.266770081) }$

Step 4: Follow the order of operations, multiplying 58.7 (P₀) into the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:\approx \:74.35940378\quad or \quad 74.36\:\:million}$

<h2>Final Answer:</h2>

Therefore, the approximate population of the country in January 2002 is 74.36 million.

<h3>________________________</h3><h3>Keywords:</h3>

Exponential functions

Exponential growth

Exponential decay

Exponential growth model

____________________________

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2 years ago

On a piece of paper graph y>-x+2 then determine which answer choice matches the graph you drew

Ronch [10]

The answer that matches the information in the graph is zero x = -2.

<h3>How to illustrate the graph?</h3>

The zeros of a function are the point on which graph intersects the x axis or we can say the value of x when y = 0.

Substitute y = 0 in the provided equation.

0 = x + 2

x = -2

The coordinate is (-2,0). Also the zero of the graph is at x = -2 because it follows the definition of zeros.

Now substitute x = 0 in the provided equation.

y = 0 + 2

y = 2

The coordinate is (0,2).

Hence, the answer that matches the information is zero x = -2.

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