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4 years ago

Find the sum of the arithmetic sequence 22, 11, 0, -11, ..., –77.

Mathematics

1 answer:

blagie [28]4 years ago

7 0

Answer:

Step-by-step explanation:

First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.

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A boat on a river travels downstream between two points, 20 mi apart, in one hour. The return trip against the current takes 2 1

kondaur [170]

Answer:

The speed of boat in still water is 14 miles per hour.

The speed of current is 6 miles per hour.

Step-by-step explanation:

Let v represent the speed of boat in still water and c represent speed of current.

We have been given that a boat on a river travels downstream between two points, 20 miles apart, in one hour.

The speed of boat downstream would speed of boat in still water plus speed of current that is $(v+c)$ .

The return trip against the current takes 2 1/ 2 hours. The speed of boat against current would speed of boat in still water minus speed of current that is $(v-c)$ .

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Substituting our given values, we will get:

$v+c=\frac{20}{1}...(1)$

$v-c=\frac{20}{2.5}...(2)$

Adding both equations, we will get:

$v+c+(v-c)=\frac{20}{1}+\frac{20}{2.5}$

$v+c+v-c=\frac{20}{1}+\frac{20}{2.5}$

$2v=20+8$

$2v=28$

$\frac{2v}{2}=\frac{28}{2}$

$v=14$

Therefore, the speed of boat in still water is 14 miles per hour.

To find the speed of the current in the river, we will substitute $v=14$ in equation (1) as:

$14+c=\frac{20}{1}$

$14+c=20$

$14-14+c=20-14$

$c=6$

Therefore, the speed of current is 6 miles per hour.

3 0

3 years ago

40 POINTSSSSSS> RIGHT ANSWER ONLY!!!!. Will report if answer is faulty. PLEASE HELP MATHEMATICIANS!!!!!!!

Marat540 [252]

The probability of hitting the black circle is closer to 0 than it is to 1. because: find area of circle ~ 3.14*r^2
which is 3.14 because the radius squared is 1. so 1*3.14= 3.14
and the area of the whiteness is 121.
subtract 3.14 from 121 and you get 117.86
this answer is closer to a 0 probability than the white space. the white space is closer to a probability of 1.
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7 0

4 years ago

Which equation represents a line that passes through (2,1/2) and has a slope

attashe74 [19]

The answer is Y+ 1/2=3(x-2)

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3 years ago

Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. Is the sex of the fourth baby de

Masteriza [31]

Answer:

I would say D.) is the best choice in this situation, The amount of female children you have does not determine the Gender that your child will be, The kids have nothing to do with the situation, The Father and Mother are what determine the Gender.

4 0

3 years ago

Read 2 more answers

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

LiRa [457]

$(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12$

8 0

3 years ago