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3 years ago

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A town council has 13 members, 7 Democrats and 6 Republicans.

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

Membership selection a town council has members Democrats and Republicans if the president and vice president are selected at random what is the probability that they are both Democrats

There is a 26.9% chance, if the president and vice-president are selected at random, that they are both Democrats. There is a 12.2% chance, if a 3-person committee is selected at random, that Republicans make up the majority.

Step-by-step explanation:

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If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence

hammer [34]

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

$S = \frac{a}{1 - r}$

This gives

$S = \frac{150}{1 - 0.8}$

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

4 0

2 years ago

2v^2-12 =-12v <br> Would really appreciate it loves❤️

Black_prince [1.1K]

For this case we have the following equation:

$2v ^ 2-12 = -12v$

Rewriting we have:

$2v ^ 2 + 12v-12 = 0$

Dividing by 2 to both sides of the equation:

$v ^ 2 + 6v-6 = 0$

We apply the quadratic formula:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

We have to:

$a = 1\\b = 6\\c = -6$

Substituting:

$x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}$

Thus, we have two roots:

$x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}$

ANswer:

$x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}$

7 0

3 years ago

Help asap my last question GIVING BRAINLIST!!!!

Alex

Answer:

1) $x < 0$

2) $x > 0$

3) $x < 10$

4) $x < -\frac{31}{55}$

5) $x \geq 0$

6) $x \geq -1$

Step-by-step explanation:

1) $-3 > 2x -3$

$2x- 3 < -3$

$2x - 3 + 3 < -3 +3$

$2x < 0$

$\frac{2x}{2} < \frac{0}{2}$

$x < 0$

2) $5 > -x + 5$

$-x + 5 < 5$

$- x + 5 -5 < 5 - 5$

$-x < 0$

$\frac{-x}{-1} < \frac{0}{-1}$

$x > 0$

3) $\frac{x}{5} -2 < 0$

$5 \times (\frac{x}{5} - 2 ) \times 5 < 0$

$x - 10 < 0$

$x -10 + 10 < 0 +10$

$x < 10$

4) $-5x + 11 > 31$

$-5x \cdot 11 < 31$

$-55x < 31$

$\frac{-55x}{-55} > \frac{31}{-55}$

$x < -\frac{31}{55}$

5) $\frac{1}{2}x - 4 \geq -4$

$\frac{1}{2}x -4 +4 \geq -4 +4$

$\frac{1}{2}x \geq 0$

$\frac{\frac{1}{2}x }{\frac{1}{2} } \geq \frac{0}{\frac{1}{2} }$

$x \geq 0$

6) $-4x + 2 \leq 6$

$-4x +2 - 2 \leq 6 -2$

$-4x < 4$

$\frac{-4x}{-4} \leq \frac{4}{-4}$

$x \geq -1$

6 0

3 years ago

Consider the graph of the function f(x)=2x.

77julia77 [94]

Given:

The parent function is:

$f(x)=2^x$

The other function is:

$g(x)=2f(x)$

To find:

The statement that describes a key feature of function g.

Solution:

We have,

$f(x)=2^x$

$g(x)=2f(x)$

Using these two functions, we get

$g(x)=2(2)^x$

Putting $x=0$ , we get

$g(x)=2(2)^{(0)}$

$g(x)=2(1)$

$g(x)=2$

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that $g(x)\to 0$ as $x\to -\infty$ and it will never intersect the line $y=0$ . It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

3 0

2 years ago

Read 2 more answers

Can someone answer this‼️‼️Give an equation for each answer and please read the directions for number 8 fill in Iceland and Hono

Dmitrij [34]

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5 0

3 years ago