<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
Prime factorization of 620:
620
2 310
2 155
5 31
31 1
Answer:
The answer is 43 and 19 over 21
Step-by-step explanation:
21 goes into 922 43 times. This giving you 903. 43 Will then be your Whole number. You the subtract 922 by 903, this giving you 19. 19 is going to be your numerator. Then you always keep the denomonator which is 21. This giving you 43 and 19 over 21
Answer:
x = 42°
y = 69°
Step-by-step explanation:
From the picture attached,
Given triangle is an isosceles triangle.
Therefore, two sides will be equal and measure 8 yd.
Measure of 3rd side of the triangle = 6 yd
Perimeter of the garden = 8 + 8 + 6
= 22 yd
In an isosceles triangle, opposite angles of the equal sides will be equal.
Therefore, y = 69°
By the property of interior angles of a triangle,
x° + y° + 69° = 180°
x° + 69° + 69° = 180°
x = 180 - 138
x = 42°
Answer:
32.5
Step-by-step explanation:
10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up
4 can not fit into 15 so we have to stop at 12 pizzas.
Now we need to add 3 pizzas
:Note: that one pizza is 2.5 of an ounce out of 10 ounces
so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over
2.5 + 30 = 32.5
