Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>
Answer:
85%
Step-by-step explanation:
Monday:
200 x 0.70 = 140
200 - 140 = 60
Tuesday:
400 x ? = 60
400 x 0.85 = 340
400 - 340 = 60
Answer:
4(30 +7) = 120 +28 = 148
Step-by-step explanation:
When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.
4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148
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You can also break apart 37 other ways:
4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148
4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148
Or, you can break apart 4:
37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148
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The distributive property is usually written in generic form as ...
a(b+c) = ab +ac
Then you may want to stop after the first couple of steps:
4(30 +7) = 4·30 +4·7
We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.
Answer:
seven and six hundred thirty thousandths
Step-by-step explanation:
the decimal point is when you say and when reading it
Answer:
Option B. 2.75
Step-by-step explanation:
It has been given in the question that a wedge has a width of 2 cm and a slope of 5.5 cm.We have to calculate the mechanical advantage of the given wedge.
We know the formula to calculate the mechanical advantage of the wedge
Mechanical advantage = Length of slope/Thickness of the widest end
= 5.5÷2 = 2.75
Therefore the answer is option B. 2.75
