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3 years ago

Find the first, fourth, and eighth terms of the sequence A(n) = −2 ∙ 2x − 1

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Answer:

1st term = -5

4th term = -17

8th term = -33

Step-by-step explanation:

1st term = -2 x (2 x 1) -1

= -2 x 2 - 1

= -4 - 1 = - 5

4th term = -2 x (2 x 2) -1

= -2 x 4 - 1

= -8 - 1 = - 9

8th term = -2 x (2 x 8) - 1

= -2 x 16 - 1

= -32 - 1 = - 33

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Use the estimate in the text based on the Prime Number Theorem to give approximate values of the following. (a) The number of pr

ozzi

Answer:

a)148.47

b)148.34

Step-by-step explanation:

Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.

We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.

A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.

a)The number of primes between 1 and 1030.

1030/log(1030)=148.47

b) The number of primes between 1 and 1029.

1029/log(1029)=148.34

Extra: π(1029)=π(1030) because 1030 is not a prime.

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3 years ago

The perimeter of a rectangular pentagon is 110 mm, find the length of one side

Mashutka [201]

Answer:

22mm

Step-by-step explanation:

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3 years ago

a storeroom 21 feet long, 15 feet wide, and 11 feet high was enlarged to a length of 25 feet and a width of 17 feet. how many cu

xenn [34]

<h2>1210 cubic feet</h2>

Step-by-step explanation:

Initial dimensions of the storeroom were $21\text{ }ft$ length, $15\text{ }ft$ width and $11\text{ }ft$ height.

The room is in the shape of a cuboid. Volume of a cuboid = $V=l\times b\times h$ , where $l,b,h$ are the length, width and height of the cuboid.

So, Volume of storeroom initially = $21\text{ }ft\text{ }\times15\text{ }ft\text{ }\times11\text{ }ft\text{ }=3465\text{ }ft^{3}\text{ }$

Finally, the length was increased to $25\text{ }ft$ and width to $17\text{ }ft$ .

Final volume of storeroom = $25\text{ }ft\text{ }\times 17\text{ }ft\text{ }\times 11\text{ }ft\text{ }=4675\text{ }ft^{3}\text{ }$

Increase in volume = $4675\text{ ft}^{3}-3465\text{ ft}^{3}=1210\text{ ft}^{3}$

∴ 1210 cubic feet of storage was added.

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3 years ago

What is the solution set of the following quadratic equation?

Brut [27]

The answer is AAAAAAAAAAAAAAAA

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3 years ago

Which of the following are considered assets?

nordsb [41]

Answer:

Number 1, i think

Step-by-step explanation:

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3 years ago

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