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BartSMP [9]
3 years ago
11

Use the explicit formula an = a + (n-1). d to find the 500th term of the

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

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A rectangular balcony has an area of 32 square feet. its perimeter is 24 feet. what are the dimensions of the balcony?
Paul [167]

Answer:

Step-by-step explanation:

8 ft by 4 ft

8ft x 4ft = 32 ft

8ft + 8 ft = 16 ft  4 ft + 4 ft = 8 ft

16ft + 8 ft = 24 ft

5 0
3 years ago
Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution
Iteru [2.4K]

Consider the equation:

\sqrt{x+2}+4 = 8

Subtracting '4' from both the sides of the equation, we get as

\sqrt{x+2}+4-4= 8-4

\sqrt{x+2}= 4

Squaring on both the sides of the equation, we get

(\sqrt{x+2})^2 = (4)^2

x+2 = 16

Subtracting '2' from both the sides of the equation, we get

x+2-2=16-2

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

4 0
3 years ago
Read 2 more answers
A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did An
Tomtit [17]

Answer:Angela paid 679,05 for the couch

Step-by-step explanation:

 425*70/100=29.750

29.750/100= 297,5

297,5+425=722,5

722,5*6/100=4.335/100=43,45

722,5-43,45=679,05

8 0
3 years ago
Read 2 more answers
Write an equation of a line that passes through (5,
enyata [817]

Answer:

y = 1/5x - 11

Step-by-step explanation:

perpendicular to a line means we flip the slope to opposite of what it is

in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.

Now we just use the same equation to find the y-intercept, which is b.

y = mx + b; m is your slope and b is your y intercept.

use the points given; (5, -10).

-10 = 1/5(5) + b

-10 = 1 + b

-11 = b

now put your equation together since you have all the pieces

y = 1/5x - 11

3 0
3 years ago
PLEASE HELP!!!!
Nadya [2.5K]

Answer:

(-1,1,3)

Step-by-step explanation:

midpoint = (x1+x2/2, y1+y2/2, z1+z2/2)

midpoint = ( (-6+4)/2, (3+-1)/2, (4+2)/2 )

midpoint = (-2/2, 2/2, 6/2)

midpoint = (-1, 1, 3)

6 0
3 years ago
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