It will cost $30.48 to fill a 12 gallon tank.
Step-by-step explanation:
Given,
Cost of gasoline = $2.54 per gallon
Number of gallons in tank = 12 gallons
Cost of 12 gallons = Cost of gasoline per gallon * Number of gallons
Cost of 12 gallons = 2.54 * 12
Cost of 12 gallons = $30.48
It will cost $30.48 to fill a 12 gallon tank.
Keywords: multiplication
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Here's what you have to keep saying to yourself until it carves a new
groove into your brain and you don't have to think about it any more:
<em> " log(x) = the power that 10 must be raised to </em>
<em> in order to wind up with 'x'. "</em>
You said 2.36 = -log(x)
Multiply each side by -1 : log(x) = -2.36
Now translate it into the mantra:
<em> The power that 10 must be raised to </em>
<em> in order to wind up with 'x' is -2.36 .</em>
Do you see what that means ? ! ?
If the power that 10 must be raised to in order to wind up with 'x'
is -2.36, then all you have to do to find 'x' is raise 10 to the power
of -2.36 ! You can do that with about 4 clicks on your calculator.
10^(-2.36) = <em>0.004365...</em> (rounded)
And if you don't quite believe it, it's even easier to check it.
Punch " 0.004365 " into your calculator, and then touch the
" 10^x " key, and something very close to -2.36 will pop up
right there, before your wondrous eyes.
Students in a class were asked how many hours a week they studied. Their answers are given below: 0, 5, 1, 2, 4, 0, 1, 3, 2, 2,
Akimi4 [234]
Answer:
Step-by-step explanation:
0+5+1+2+4+0+1+3+2+2+0+1+5+3+4+4+2+1+6
which is 46
46/19
because there are 19 numbers
2.42105263158
rounding to nearest 10th
=2.4
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.