Answer:
3+d=q and 0.10d+0.25q=1.80
There are 3 dimes and 6 quarters.
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
We know there are three more quarters than dimes. We write that as 3+d=q.
We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.
We substitute 3+d for q in the second equation.
0.10d+0.25(3+d)=1.80
0.10d+0.75+0.25d=1.80
0.35d+0.75=1.80
We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.
0.35d=1.05
d=3
There are 3 dimes.
1 - Derivative of arcsin x.
<span>
The derivative of f(x) = arcsin x is given by
</span><span> f '(x) = 1 / sqrt(1 - x 2) </span><span>
</span>2 - Derivative of arccos x.
<span>
The derivative of f(x) = arccos x is given by
</span><span> f '(x) = - 1 / sqrt(1 - x 2) </span><span>
</span>3 - Derivative of arctan x.
<span>
The derivative of f(x) = arctan x is given by
</span><span> f '(x) = 1 / (1 + x 2) </span><span>
</span>4 - Derivative of arccot x.
<span>
The derivative of f(x) = arccot x is given by
</span><span> f '(x) = - 1 / (1 + x 2) </span><span>
</span>5 - Derivative of arcsec x.
<span>
The derivative of f(x) = arcsec x tan x is given by
</span><span> f '(x) = 1 / (x sqrt(x 2 - 1))</span><span>
</span>6 - Derivative of arccsc x.
<span>
The derivative of f(x) = arccsc x is given by
</span><span> f '(x) = - 1 / (x sqrt(x 2 - 1)) </span><span>
</span>
Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
First you should rearrange to get it in the form y = mx + c, and you do this by subtracting the 9x from both sides and dividing by 15, which gives you:
y = (-9/15)x + 3
Now you know the y-intercept is 3, so you can mark that on as a point.
Then, to graph the gradient of -9/15, you go along 15 spaces to the right and 9 spaces down, or 15 to the left and 9 spaces up, and you repeat this until you run out of room. Then you just join the dots
I hope this helps! Let me know if you have any questions :)
