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3 years ago

How do I solve this equation?

Mathematics

2 answers:

Alecsey [184]3 years ago

4 0

Answer:

-1<=x<=5/2

Step-by-step explanation:

isolate the variable by diving each side by factors that dont contain the variable

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

x∈[-1,5/2]

Step-by-step explanation:

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If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

3 years ago

Given 6x + b/c = a, rearrange the equation for b, in terms of a, c, and x.

SVEN [57.7K]

Answer:

b = c(a - 6x )

Step-by-step explanation:

Given

6x + $\frac{b}{c}$ = a ( subtract 6x from both sides )

$\frac{b}{c}$ = a - 6x ( multiply both sides by c to clear the fraction )

b = c(a - 6x)

5 0

3 years ago

Read 2 more answers

A robot can complete 8 tasks in 5/6 hour. What is the unit rate for hours per task?

Sonbull [250]

8 tasks in 5-6 hours
so what is 8/6?
1 hour and 30 minutes

8 0

3 years ago

A survey among American adults concluded that 20% of adults believe Elvis is still alive, 10% believe they've been abducted by a

Kitty [74]

Answer:

$P(Alive\ or\ Aliens) = 26\%$

Step-by-step explanation:

Given

$P(Alive) = 20\%$

$P(Aliens) = 10\%$

$P(Alive\ and\ Aliens) = 4\%$

Required

Determine $P(Alive\ or\ Aliens)$

From laws of probabilities:

$P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)$

In this case:

$P(Alive\ or\ Aliens) = P(Alive) + P(Aliens) - P(Alive\ and\ Aliens)$

$P(Alive\ or\ Aliens) = 20\% + 10\% - 4\%$

$P(Alive\ or\ Aliens) = 26\%$

7 0

3 years ago

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $7200 and his st

Ronch [10]

Answer:

22.7%

Explanation:

Given that last year stock for company A was $7200

The stock for company B last year was worth $3510

Stock in company A decreased by 24%

This means the new value of stock for company A became;

(100-24)/100 *$7200

76/100*$7200

0.76*7200 =$5472

Stock in company B decreased by 20%

This means the new value of stock for company B became;

(100-20)/100 *$3510

80/100*$3510

0.8*$3510

$2808

Original investors stock value was = $7200+$3510 =$10710

New investors stock value is = $5472+$2808=$8280

Decrease in value of stock = $10710-$8280 =$2430

percentage decrease in stock value = decrease in stock/original value of stock *100%

=2430/10710 *100 =22.689

=22.7%

4 0

2 years ago