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allochka39001 [22]
3 years ago
9

Find the nth term of this sequence -84, -81, -78, -75, -72

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Answer:

-50

Step-by-step explanation:

The numbers are separated by three

GREYUIT [131]3 years ago
5 0

Answer:

a_{n} = 3n - 87

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 81 - (- 84) = - 78 - (- 81) = - 75 - (- 78) = - 72 - (- 75) = 3

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 84 and d = 3 , then

a_{n} = - 84 + 3(n - 1) = - 84 + 3n - 3 = 3n - 87

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A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
lions [1.4K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.

So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

3 0
3 years ago
Which of the following are solutions to the equation below?
Karo-lina-s [1.5K]

There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.

Note that x^2 + 4x + 4 is a perfect square. Thus,

x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that

x+2 = plus or minus √3*√4, or plus or minus 2√3.

Thus, the two real, unequal roots are

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5 0
3 years ago
I'm really bad at this, please help ​
Degger [83]

Answer:

See explanation below for all parts

Step-by-step explanation:

Your current slope (m) is -1/2 (the orange colored slope) so the "opposite" slope would be 2/1 or 2(the blue colored slope)

The answer for number 3 is y=2x+b.

For number 4, plug in the point values for x and y and solve for b. The point given is (-4,-5).

-5=2(-4)+b Now simplify

-5=-8+b then add 8 to both sides to isolate b

3=b or b=3

For number 9, you now know that m is 2 and b is 3

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6 0
3 years ago
The difference between the third and first quartiles in a data set, representing the middle half of
pav-90 [236]

Answer:

Interquartile range

Step-by-step explanation:

The interquartile range gives the middle half of a dataset. It is obtained by subtractionng the value of the lower quartile (Q1) from the value of the upper quartile(3rd quartile).

Interquartile range (IQR) = Q3 - Q1

WHERE ;

Q3 = 3/4 * (n+1)th term and the first quartile (Q1) is given as ;

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6 0
3 years ago
A particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at
Fantom [35]

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

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= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%

7 0
3 years ago
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