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jok3333 [9.3K]
3 years ago
10

Indentify the slope of the parallel line to the equation: y = 3/5x + 13

Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

3/5

Step-by-step explanation:

Parallel lines have equivalent slopes. Therefore, the slope of the parallel line to y = 3/5x + 13 would have to be 3/5.

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Find the value of the expression 3m^2+2p^2-15 when m =3 and p = 10
mylen [45]

3m {}^{2}  +  {2p}^{2}  - 15
m = 3
p = 10

3 \times 3 {}^{2}  + 2 \times  {10}^{2}  - 15 =
3 \times 9 + 2 \times 100 - 15 =
27 + 200 - 15 =
212

Hence, the answer is 212.



5 0
4 years ago
There are 8 rows and 8 columns, or 64 squares on a chessboard. suppose you place 1 penny on row 1 column a, 2 pennies on row 1 c
Olenka [21]
Though you do not finish the question, I imagine the problem is to either find the number of pennies on a particular square, or the number of pennies on the last square or the sum of the pennies once the board is full.

No matter which we are dealing with a sequence. The number of coins doubles each time. So we have: 1, 2, 4, 8, 16, 32, 64, ...

This is called a geometric sequence. To "move" from one term (number) to the next we multiply by two. The number we multiply by (2) is called the common ratio (call it r).

If we call the first term a_{1}, the next a_{2} and so on you can write the terms like this:

a_{1}, a_{2}r, a_{2}r ^{2} , a_{2}r ^{3} , ...

So the nth term is given by a_{1} r ^{n-1}

If you are asked for the 64th term (the number of pennies on the last square) this is given by (1) (2) ^{64-1}=2 ^{63} which you might have to leave like that as your calculator may not be able to handle it.

If you are asked for the number of pennies on some other square you use that number (5 for the 5th square) for n instead.

The sum of the terms of a geometric sequence is given by \frac{ a_{1}( r^{n}-1 )}{r-1} so if you are being asked for the sum of the pennies on the board (64 square so you use 64 for n) you get \frac{ 1( 2^{64}-1 )}{2-1}= 2^{64}-1

If you are asked for the sum of the first 5 squares then use 5 for n instead and so on.

8 0
3 years ago
Read 2 more answers
Sally rents a life jacket for a one-time fee of $5. She then rents a canoe for $15 per hour. Write an expression that represents
Mekhanik [1.2K]

Answer:

3.00/8

Step-by-step explanation:

because u simplify 15/5 and u get 3

4 0
3 years ago
Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
sergij07 [2.7K]

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

4 0
4 years ago
1+4=5; 2+5=12; 3+6=21; 8+11=?
dybincka [34]
The pattern:
So it goes, 1, 2, 3, as the first number in each equation right.
Then it goes 4,5,6 as the second number in each equation.
<span>In other words, the first number + 3 = the second number
</span>
The sum or 3rd number is a zig zag pattern from the first and second numbers as shown below.
1 2 3 4 5 6   <span>7  </span>8   9 
4 <span>5 </span>6 7 8 9 10 11 <span>12
</span>
1 * 5 = 5, 2 * 6 = 12, 3 * 7 = 21 .... 8 * 12 = 96

<span>So the answer of </span><span>8+11=96</span>
3 0
4 years ago
Read 2 more answers
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