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timama [110]
3 years ago
14

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

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Sphinxa [80]

Answer:

There are 729 possible results are there for the series

Step-by-step explanation:

If we have n trials, each with m possible outcomes, the total number of possible outcomes is:

T = m^{n}

In this question:

6 games(trials), so n = 6.

Each with three possible outcomes, so m = 3

Then:

T = 3^{6} = 729

There are 729 possible results are there for the series

7 0
3 years ago
Which linear inequality is represented by the graph?
Dovator [93]

Answer:

The answer to your question is   the second choice (y ≥ 1/3x - 1)

Step-by-step explanation:

Process

1.- Find two points of the graph

A (0, -1)

B (3, 0)

2.- Find the slope

m = (0 + 1)/(3 - 0)

m = 1/3

3.- Find the equation of the line

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     y = 1/3x - 1

4.- Find the equation of the inequality

      We need the upper part of the line so the inequality must be

       y ≥ 1/3x - 1

3 0
3 years ago
(((click on the image to see it all))))<br><br>I need the answers to number 2 and 4 asap​
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Answer:

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3 0
3 years ago
Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati
Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

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8 0
3 years ago
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leva [86]

Answer:

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Step-by-step explanation:

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