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2 years ago

Is the given value a solution of the inequality

Mathematics

1 answer:

dsp732 years ago

7 0

Answer:

35 <5m

35/5 < 5m/5

7 < m

m = 8,9,10,11,12,.......

a + 6 $\geq$ 9

a + 6 - 6 $\geq$ 9 -6

a $\geq$ 3

a = 3,4,5,6,7,......

8-g > 5

8 -g +g > 5 +g

8 > 5 +g

8 -5 > 5 -5 +g

3 > g

g =4,5,6,7,8.......

Step-by-step explanation:

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2 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

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2 years ago

Solve the given inequality and graph the solution on a number line.

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Answer:

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Step-by-step explanation:

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3 years ago

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JulijaS [17]

Answer:

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Step-by-step explanation:

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2 years ago

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You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week

tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

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

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the total number of hours the electrician worked is 1960 hours which is option b).

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3 years ago

Is the given value a solution of the inequality​

Is the given value a solution of the inequality