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Nata [24]
3 years ago
13

Find all the powers of 3 that are in the range 3 through 1000

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0
So just use a calculator but here goes
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
3^6=729

and 3^7 is 2187 which is excluded











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What is the slope of a line perpendicular to the line whose equation is x-3y=-6x−3y=−6​
marissa [1.9K]

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 3y = - 6 into this form

Subtract x from both sides

- 3y = - x - 6 ( divide all terms by - 3 )

y = \frac{1}{3} x + 2 ← in slope- intercept form

with slope m = \frac{1}{3}

Given the slope m of a line then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

7 0
3 years ago
Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills tog
MakcuM [25]

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

6 0
3 years ago
Line l passes through point (3,−26) and line p is the graph of y−3=−5(x−2) .
uranmaximum [27]

Considering the definition of parallel line, the equation of line l is y= -5x -11.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Parallel line</h3>

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

<h3>Equation of parallel line in this case</h3>

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

<u><em>y=  -5x +13</em></u>

where:

  • the slope is -5.
  • the y-intercept is 13.

Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

-26= -5× 3 + b

-26= -15 + b

-26 + 15 = b

<u><em>-11 = b</em></u>

Finally, the equation of parallel line is y= -5x -11.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

3 0
1 year ago
Below is an geometric sequence.
tekilochka [14]

Answer:

250

1250

6250

Step-by-step explanation:

ratio is 5

so a is 50 * 5 and so on

7 0
3 years ago
Read 2 more answers
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
maria [59]

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = \frac{3k}{2} ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = \frac{8B}{C} ← equation of variation

when A = 10 and C = 1.5 , then

10 = \frac{8B}{1.5} ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

8 0
2 years ago
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