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2 years ago

PLEASE HELP!! what is the explicit formula for this sequence -7, -4, -1, 2, 5

Mathematics

1 answer:

trasher [3.6K]2 years ago

6 0

Answer:

The explicit formula for the given expression is $a_n=-10+3n$ .

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

$-4-(-7)=-4+7=3$

The explicit formula for an AP is

$a_n=a+(n-1)d$

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

$a_n=-7+(n-1)3$

$a_n=-7+3n-3$

$a_n=-10+3n$

Therefore the explicit formula for the given expression is $a_n=-10+3n$ .

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A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less

seropon [69]

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 + 7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B. 5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

5 0

2 years ago

jamie wants to run a total of 9 miles thid week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9. please help m

____ [38]

Answer:

$r=4\frac{3}{8}$

Step-by-step explanation:

Given the following question:

$4\frac{5}{8} +r=9$

<u>Rewrite the expression to find the value of r:
</u>
$9-4\frac{5}{8}$

<u>Subtract by finding the common denominator:</u>
$9-4\frac{5}{8}$
$9=\frac{9}{1}$
$4\frac{5}{8} =8\times4=32+5=37=\frac{37}{8}$
$\frac{9}{1} -\frac{37}{8}$
$\frac{9}{1} \times8=\frac{72}{8}$
$\frac{37}{8} \times1=\frac{37}{8}$
$\frac{72}{8} -\frac{37}{8}$
$72-37=35$
$=\frac{35}{8}$
$\frac{35}{8} =35\div8=4\frac{3}{8}$
$r=4\frac{3}{8}$
$4\frac{5}{8} +4\frac{3}{8} =9$

Hope this helps.

4 0

1 year ago

2d+7/6-d-5/3=0 Tell me the answer

Inessa [10]

Answer:

d=1／2

Step-by-step explanation:

$2d + \frac{7}{6} - d - \frac{5}{3} = 0 \\ 2d - d = \frac{5}{3} - \frac{7}{6} \\ d = \frac{10}{6} - \frac{7}{6} \\ d = \frac{3}{6} \\ d = \frac{1}{2}$

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2 years ago

What is the median of 137 115 104 to 63 and 98

Romashka-Z-Leto [24]

Answer:

104

Step-by-step explanation:

put them from less to highest then find the middle number

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2 years ago

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julia-pushkina [17]

Answer:

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Step-by-step explanation:

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2 years ago