1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lapo4ka [179]
3 years ago
11

Find the sum of the sequence 37+38+39+40+...130

Mathematics
2 answers:
goblinko [34]3 years ago
7 0
The sum is of37+38+39+40+...130 is 154.13
storchak [24]3 years ago
6 0

First, you have to calculate the number in the sequence

an = a+(n-1)d

130 = 27+(n-1)1

130-27 = n-1

103+1 = n

n = 104

Now, calculating for sum (Sn)

Sn = n/2 (a+an) = 104/2 (37+130) = 52 (167) = 8684

You might be interested in
Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape
shtirl [24]

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

7 0
2 years ago
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
Yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds. How much did the cabbage weigh all together?
nika2105 [10]

Answer:

14\frac{1}{4} pounds

Step-by-step explanation:

Here we have to use multiplication.

Yamin purchased 6 heads of cabbage.

The weight of each cabbage = 2 \frac{3}{8}

First let's convert the mixed fraction 2\frac{3}{8} to improper fraction

2\frac{3}{8} = \frac{19}{8}

The weight of 6 heads of cabbage = 6 x \frac{19}{8}

= 114/8

= 14 \frac{2}{8}

We can reduce 2/8 = 1/4

= 14 \frac{1}{4}

Thank you.

3 0
3 years ago
Which statement is true<br>​
valina [46]

Answer: The answer is D. the data distribution is skewed to the right.

Step-by-step explanation:

Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.

4 0
2 years ago
Read 2 more answers
1) Which ratio is expressed as a unit rate?
agasfer [191]

Answer:

D.

Step-by-step explanation:

Expressing something by a unit rate means to express a value per single item. Hence, only D fits (per package, meaning per 1 package.)

Hope this helped!

3 0
2 years ago
Read 2 more answers
Other questions:
  • Can you slove this whole question for me please
    6·1 answer
  • A coyote is 60 meters away from a chicken and it can run 20 meters per second.
    14·1 answer
  • Mr.Smith had 4 daughters and each daughter had a brother.How many kids did Mr.Smith have in totle?
    6·1 answer
  • Which property does the equation illustrate (x+5)+9=x+(5+9)
    9·1 answer
  • What is these numbers from least to greatest 1.11 1.101 1.1 1.1012
    11·1 answer
  • Substitution for -3x+y=-9
    10·1 answer
  • PLEASE HELP!!!!!! Answer fast!!! What is the value of n in the equation below?
    14·2 answers
  • A swimming pool already contains
    8·1 answer
  • \text{Emily runs 11 feet per second.}
    11·1 answer
  • 5 out of 8 students said football is their fav sport what is the decimal equivilant of students who chose football
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!