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2 years ago

Write the next three terms to the geometric sequence 6,-18,54

Mathematics

1 answer:

Sati [7]2 years ago

8 0

The next 3 terms would be -162, 468, 1457

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Find the volume of the cube (asap) (picture)

MaRussiya [10]

Volume equals 60 centimeters

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3 years ago

Read 2 more answers

Explain why the difference of two polynomials will always be a polynomial

kobusy [5.1K]

<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>

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3 years ago

Solve with interval notation Solve: 5 | x − 2 | + 4 > 8

Gnesinka [82]

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

5 0

3 years ago

I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna

shutvik [7]

Answer: N= 375, C= 875

Step-by-step explanation: Let Canadian stamps=C

Let International stamps=N

C=875 and N=375

C - 500=N, .70(N + C) =C

Solve the following system:

{C-500 = N | (equation 1)

0.7 (C+N) = C | (equation 2)

Express the system in standard form:

{-N+C = 500 | (equation 1)

0.7 N-0.3 C = 0 | (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 | (equation 1)

0 N+0.4 C = 350 | (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 | (equation 1)

0. N+C = 875. | (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. | (equation 1)

0 N+C = 875. | (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. | (equation 1)

0 N+C = 875. | (equation 2)

Collect results:

Answer: | N = 375 and C=875

3 0

2 years ago

Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. what is the expected number of people

tatuchka [14]

1 person because there is 1 in 100 chance that you get your hat back

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3 years ago