1)5 2)6 3)17 because h(x)+k(x)=3x-1
Answer:
$149
Step-by-step explanation:
The computation of the amount left for the shopping is shown below;
= Amount have - Electricity bill - Water bill - telephone bill
= $430 - $119 - $65 - $97
= $149
We simply deduct all expenses from the amount available so the remaining amount i.e. left would be considered for shopping
Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.
According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:
1
1 2 1
1 3 3 1
1 4 6 4 1
So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
Here, you want (3 + b)^4. Here's what that looks like:
3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]
Which coeff did you want?
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
H'=-32t+96
0=-32t+96
-96=-32t
3=t
3 seconds
H=-16t^2+96t+3
H=48^2+288+3
H=48^2+291
