Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

Answer:

C

Step-by-step explanation:

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .

Answer:

OPTION A:

SEE IMAGE FOR SOLUTION

Answer:

PEMDAS

a

r

e

n

t

h

e

s

e

s

Step-by-step explanation:

in pemdas parenthesis are always first so start with the parenthesis and you should get an answer of N=4

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

Therefore, elevator started from 14th level.  

The correct answer is option (D).

To find from graph below which functions.

Coordinate geometry is defined as the study of geometry using the coordinate points.

First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex]  function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.

So, the answer is Option (D).

Learn more about co-ordinate geometry here:

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Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

Answer:

Sarah is 25 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(c) $75.37

Step-by-step explanation:

SStax = GrossPay * SSrate

SStax = 1215.60 * 6.2%

SStax = 1215.60 * 0.062

SStax = 75.37

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

Answer:

Step-by-step explanation:

A spring has a force formula of F = k*x

f = 125 N

x = 0.15 m

125 = k*0.15

k =833.33

F = ?

k = 833.33

x = 0.25 m

F = 833.33 * 0.25

F = 208.33 N

You could do this without solving for k

F1/F2 = x1/x2

F1 = 125 N

F2 = ?

x1 = 0.15

x2 =0.25

125 / F2 = 0.15 / 0.25               Cross multiply

125 * 0.25 = 0.15 * F2              Divide by 0.15

125*0.25 /0.15 = F2

F2 = 208.33 just as you got above

Answer:

Five and six is the coefficient

Answer:

"ELO MESSI"

Step-by-step explanation:

Hope it helps

Answers:

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

Answer:

option a

Step-by-step explanation:

all positive real numbers

Answer:

That is called an 'irrational algebraic number'

Hope this helps!! :)

The value of expression 127 divided by 4 would be; 31.5

When 'a' is divided by 'b', then we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of  127 divided by 4.

A negative divided by a negative is positive, then;

Therefore, 127 ÷ 4 = 31.5

Therefore, The value of expression 127 divided by 4 would be; 31.5

Learn more about division here:

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Answer:

[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]

Answer:

$22,000

Step-by-step explanation:

9 percent of 40000 is 3600

it depreciates for 5 years so times 5 which gives us 18000

now subtract this amount from its original value and you get 22,000

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?