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2 years ago

Use this number line when answering questions.

Mathematics

1 answer:

Dmitrij [34]2 years ago

7 0

Answer:

If the darker, longer lines are going in units of one, then A is equal to -2.

Step-by-step explanation:

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The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m

densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0

2 years ago

22 points Please Help!!

Greeley [361]

Answer:

Step-by-step explanation:

3 0

2 years ago

A farmer plowed a rectangular section of land for a new crop. The section measures 24 1/2 yd by 38 1/2 yd. Find the total area i

MAVERICK [17]

Answer: $943\dfrac{1}{4}\text{ sq. yds}$

Step-by-step explanation:

Given , A farmer plowed a rectangular section of land for a new crop.

Dimensions of the section is given by :-

Length by width = $24\dfrac{1}{2}\text{ yd by }38\dfrac{1}{2}\text{ yd}$

Since , the area of a rectangle = length x width

Then, the total area in yards of plowed section of land will be:

$24\dfrac{1}{2}\times38\dfrac{1}{2}\text{ sq. yds}\\\\=\dfrac{2(24)+1}{2}\times\dfrac{2(38)+1}{2}\text{ sq. yds}\\\\=\dfrac{49}{2}\times\dfrac{77}{2}\text{ sq. yds}\\\\=\dfrac{3773}{4}\text{ sq. yds}\\\\=943\dfrac{1}{4}\text{ sq. yds}$

Hence, the total area in yards of plowed section of land = $943\dfrac{1}{4}\text{ sq. yds}$

8 0

2 years ago

What is the answer? <br> A <br> B<br> C<br> D

yanalaym [24]

Answer:

I think your answer is correct

Step-by-step explanation:

5 0

2 years ago

give the standard form, degree, leading coefficient and the constant term of the function h(x) = (2x+1)² (2x-3)

Softa [21]

Answer:

The standard form is: $h(x) = 8x^3 - 4x^2 - 10x - 3$

The function is of the 3rd degree.

The leading coefficient is 8.

The constant term is -3.

Step-by-step explanation:

Placing in standard form:

To place in standard form, we solve the operations. So

$h(x) = (2x+1)^2(2x-3)$

$h(x) = (4x^2 + 4x + 1)(2x - 3)$

$h(x) = 8x^3 - 12x^2 + 8x^2 - 12x + 2x - 3$

$h(x) = 8x^3 - 4x^2 - 10x - 3$

Degree:

The degree is given by the highest power of x, which, in this exercise, is 3.

Leading coefficient:

The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is $x^3$ , which is multiplied by 8. So the leading coefficient is 8.

Constant term:

The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.

3 0

2 years ago

Use this number line when answering questions￼.

Use this number line when answering questions.