Answer:
DV/dt = 942 cm³/sec (decreasing )
Step-by-step explanation:
Volume of the sphere V = 4/3π*r³
r ⇒ r(t)
DV/ dt = DV/dr * Dr/dt so
DV/dt = 4*π*r²*Dr/dt
and we know Dr/dt = - 3 cm/sec and r = 5 cm
Then radius decreasing V also decreases
by substitution
DV/dt = - 4*π*(5)²* (3)
DV/dt = - 942 cm³/sec
Answer:
1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6
2. the slope is 3
3. -4/3
4. $1.50 per book
5. -2
Step-by-step explanation:
1. the table itself says it for x=0. f(x) for x=0 is 6.
2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.
the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.
3. again slope (see 2.).
going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).
so, the slope is y changes / x change = 4/-3 or simply -4/3
4. rate of change is
(f(a) - f(b)) / (a - b)
e.g.
(275 - 50) / (250 - 100) = 225 / 150 = 1.5
5. again very simple. which of the provided answer options appears in the f(x) column ?
the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.
Answer:
<em>$284</em>
Step-by-step explanation:
First,<em> find 1/3 of 426 by multiplying 1/3*426</em>
With your answer <em>(142)</em>, subtract that from the total in your checking account.
<em>426-142=284</em>
This means, After withdrawing the amount she will use to pay bills, Her left over total will be <em>284 dollars.</em>
Wheres the graph so that i can help