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Molodets [167]
2 years ago
5

Write an explicit equation for the following sequence. 100, 97, 94, 91, ...

Mathematics
1 answer:
pishuonlain [190]2 years ago
6 0

Answer:

a_{n} = 103 - 3n

Step-by-step explanation:

there is a common difference between consecutive terms , that is

97 - 100 = 94 - 97 = 91 - 94 = - 3

This indicates the sequence is arithmetic with explicit equation

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 100 and d = - 3 , then

a_{n} = 100 - 3(n - 1) = 100 - 3n + 3 = 103 - 3n

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How many of the first 15 positive integers can be written as the sum of three squares?
Jlenok [28]

Answer

no number from the following list can be expressed as the sum of three squares: 7, 15, 23, 31, 39, 47, ect...  so only once

Step-by-step explanation:

nono dont touch me there this is my nono square

3 0
3 years ago
HELPPP pls pls pls tyty
Evgen [1.6K]

Answer:

A=72CM^2

Step-by-step explanation:

The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72

                                                                                           

5 0
2 years ago
Read 2 more answers
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
lianna [129]

Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

  • first warehouse: 185 - 15x
  • second warehouse= 237-18x

Let the second warehouse have 1.5 times more coal than the first one after n days then  

  1. 1.5 ×(185 - 15n)=237-18n  which gives:
  2. 277,5-22,5n=237-18n and
  3. 40,5=4,5n
  4. 9=n

7 0
3 years ago
What is the mode of 1 4 6 7 12 12 15
viktelen [127]

Answer:

The answer is 12

If you look at the set of data 12 is shown the most or there more then once when the others aren't

3 0
3 years ago
Find the area of the figure. (Sides meet at right angles.)
Harrizon [31]

Answer:

<h2>80 cm²</h2><h2 />

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

4 0
3 years ago
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