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3 years ago

5

there are 3more baseball's than bats in a dugout. there are 15 bats and baseball's in the dugout in all. how many bats are in th

e dugout

1 answer:

Yakvenalex [24]3 years ago

6 0

Bats = b

15 = b + (b+3)
15 = 2b + 3
12 = 2b
b = 6

There are 6 bats in the dugout.

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Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?

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Weird that the only choices are given as integrals with respect to $x$ . (Integration along the $y$ axis would be way easier, but whatever)

The fourth option should do it.

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3 years ago

How to find the derivative 5x²-2x+1

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What you need to know:

$y=k{ x }^{ n }\\ \\ \ln { y } =\ln { \left( k{ x }^{ n } \right) }$

$\\ \\ \ln { y } =\ln { k } +\ln { \left( { x }^{ n } \right) } \\ \\ \ln { y } =\ln { k } +n\ln { x }$

$\\ \\ \frac { 1 }{ y } \cdot \frac { dy }{ dx } =\frac { n }{ x } \\ \\ y\cdot \frac { 1 }{ y } \cdot \frac { dy }{ dx } =\frac { n }{ x } \cdot y$

$\\ \\ \frac { dy }{ dx } =n{ x }^{ -1 }\cdot k{ x }^{ n }\\ \\ \frac { dy }{ dx } =kn{ x }^{ -1+n }$

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If this is the case, when:

$y=5{ x }^{ 2 }-2x+1$

dy/dx is...

$\\ \\ \frac { dy }{ dx } =5\cdot 2{ x }^{ 2-1 }-2\cdot 1{ x }^{ 1-1 }\\ \\ \frac { dy }{ dx } =10x-2\cdot { x }^{ 0 }$

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4 years ago

Read 2 more answers

765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible

tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

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Answer:

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Step-by-step explanation:

Pythagorean Triples are numbers that you know will come out perfectly in the Pythagorean Theorem. But the easiest way to explain this is to show you an example.

Say you're given the numbers 12, 16, and 20.

They should be able to be divided by the same number and equal 3, 4, and 5.

In this case, the number is 4.

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