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3 years ago

Which of the following is a geometric sequence?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

Step-by-step explanation:

Geometric sequences are ones that have a common ratio (ie. the common ratio is multiplied by the previous term to get the next term).

In A, the common ratio is 3. 2 * 3 = 6. 6 * 3 = 18, etc.

In B, C, and D, they are arithmetic sequences.

That means that a number is added, not multiplied, by the previous term to get the next term.

B: 1 + 4 = 5, 5 + 4 = 9, etc.

C: 0 + 5 = 5, 5 + 5 = 10, etc.

D: 5 - 4 = 1, 1 - 4 = -3, etc.

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Isabella painted her bedroom. She used 2 gallons of paint and finished in 8 hours. At what rate did Isabella paint the room?

GrogVix [38]

Answer: " \frac{1}{4} gal /hr ; or, write as: " 0.25 gal/hr. " .

_______________

Step-by-step explanation:

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This is a "unit rate" problem;

that is: we want to solve for a particular quantity per [single] unit.

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→ in this case, per single "hour" ;

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So we convert:

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" 2 gal per 8 hours" ; to the correct number of:

_?_ gal per [single] hr.

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{<u>Note</u>: "gal" refers to: "gallon(s)" ;

"hr" refers to: "hour(s)" .}.

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→ " $\frac{2 gal}{ 8 hr} = [\frac{2}{8}]$ gal / hr. " ;

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→ " { $\frac{2}{8} =$ [2÷2] / [8÷2] = 1/4 ;

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So, the answer is:

→ " $\frac{1}{4} gal /hr$ " ;

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or: write as decimal:

→ " $\frac{1}{4}$ = (1 ÷ 4) = 0.25 " ;

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write the answer as:

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→ " 0.25 gal/hr. "

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Or, when we had:

→ "2/8" gal/hr ;

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Use calculator:

→ " $\frac{2}{8}$ = "2 ÷ 8" ;

= " 0.25 gal/ hr.

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So: The correct answer is:

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" \frac{1}{4} gal /hr ; or, write as: " 0.25 gal/hr. " ;

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Hope this is helpful to you!

Best wishes in your academic endeavors—

and within the "Brainly" community!

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6 0

3 years ago

n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0

3 years ago

The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes.

Liula [17]

H(10) is the altitude of a hot air balloon overtime after 10 minutes. In order to find h(10)'s value, you just have to substitute 10 as t in the equation. h(10) and h(t) represents the value of y in a linear equation. So pretty much: h(10)= 210 - 15(10). If calculated correctly, h(10)=60.

8 0

3 years ago

Read 2 more answers

What is the surface area of this rectangular prism 7ft 8ft 9ft

ANEK [815]

Answer:

382

Step-by-step explanation:

7 0

3 years ago

Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)?

marshall27 [118]

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

4 0

3 years ago

Read 2 more answers