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nalin [4]
3 years ago
14

Help please (will give brainliest)

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
Thats 45 degrees! its 45 degrees because if you look at it you just know.
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Dafna11 [192]
Holly would have to climb 92 flights of stairs in the fifth week
5 0
3 years ago
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}​
iren [92.7K]

Answer:

A) a_n = 5n + 2

B) a_n = (2^(n + 1)) - 1

Step-by-step explanation:

A) The sequence is given as;

{7,12,17,22,27,...}

The differences are:

5,5,5,5.

This is an arithmetic sequence following the formula;

a_n = a_1 + (n - 1)d

d is 5

Thus;

a_n = a_1 + (n - 1)5

Now, a_1 = 7. Thus;

a_n = 7 + 5n - 5

a_n = 5n + 2

B) The sequence is given as;

{ 3,7,15,31,63,...}​

Now, let's write out the differences of this sequence:

Differences are:

4, 8, 16, 32

This shows that it is a geometric sequence with a common ratio of 2.

In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15

Thus, a_2 = 2a_1 + 1

Also, a_(2 + 1) = 2a_2 + 1

Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1

Thus; a_n can be expressed as:

a_n = (2^(n + 1)) - 1

7 0
3 years ago
Paco needs at least 3/8 yard of twine to build a model ship. how much twine could he buy.
kolezko [41]

Answer:

Option: c is correct.

Step-by-step explanation:

We are given that paco needs at least 3/8 yard of twine to build a model ship.

that is we require twine of amount greater than 3/8 yards.

<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>

a)

3/10 yard.

As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/10 < 3/8

Hence option a is incorrect.

b)

1/4 yard

As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

\dfrac{1}{4}\times\dfrac{2}{2}=\dfrac{2}{8}

as 2/8 < 3/8

since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.

Hence option b is incorrect.

c)

3/4 yard

Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/8 < 3/4

Hence, option c is correct.

d)

1/8 yard

clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.

Hence, 1/8 < 3/8

Hence, option d is incorrect.



7 0
3 years ago
Read 2 more answers
Foactoring Diff/ Sum of Cubes <br><br>Factor completely​
Ira Lisetskai [31]

it is sum of cubes.

hope that helps

3 0
3 years ago
See picture below. What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?
kondor19780726 [428]

Answer:

3

Step-by-step explanation:

\sum 2n+1= \boxed{\big( \sum_{i=1} ^{4}2n \big) +1}

And,

$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $

$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $

$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$

Hence the difference is 3.

8 0
3 years ago
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