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Alex
3 years ago
14

Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

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The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the t
dexar [7]

By solving a linear equation, we will see that the total cost for renting the bus is $90.

<h3>What was the total cost of renting the bus, in dollars?</h3>

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

If you want to learn more about linear equations:

brainly.com/question/1884491

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4 0
2 years ago
Find the domain for each expression. (1/x)+5<br> 1/x<br> X+5/x+5<br> X^2/x<br> 7/(x-2)
wel

Using it's concept, it is found that the domain for the expressions is, respectively, given by:

x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2

<h3>What is the domain of a function?</h3>

It is the <u>set that contains all possible input values</u>.

In a fraction, the denominator cannot be zero, hence:

  • The domain of the first two expressions is of x \neq 0.
  • The domain of the last expression is of x \neq 2.

The third expression can be simplified, as:

(x + 5)/(x + 5) = 1.

The same is true for the fourth, as:

x²/x = 1.

Neither has any restriction, hence their domain is all real numbers, represented by (-\infty, \infty).

More can be learned about the domain of a function at brainly.com/question/25897115

6 0
2 years ago
I NEED HELP! what shape is symmetry ?
GenaCL600 [577]

Answer:

E, the heart

Step-by-step explanation:

6 0
3 years ago
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Find S8 for the geometric series 3 + -6 + 12 + -24 +…
kirill115 [55]
I guess you are asking to find the sum of the first 8 terms. If so, then:
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the 1st term a₁ =3
common ratio r = - 2 (since -6/3 = - 2, and 12/-6 = - 2, etc.)

Sum = 3[(1- (-2)⁸]/(1-2) = 3(1- 256)/(1/2)
Sum = -1530

6 0
3 years ago
1.01x10^4 decimal notation
almond37 [142]

well to get decimal notation you would just multiply that out. so if you took 1.01x10^4 and multiply it out, it would equal 10,100.

4 0
2 years ago
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