3 years ago

If h(x) = 7 + 6f(x) , "where f(5) = 7 and f '(5) = 3", find h'(5).

Mathematics

1 answer:

Otrada [13]3 years ago

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Simplify the expression -2+6.45z-6+(-3.25z)

erik [133]

Answer:

-8 + 3.2z

Step-by-step explanation:

when there is a "+" in front of an expression in parentheses, the expression remains the same
-2 + 6.45z - 6 - 3.25z
calculate the difference

-8 + 6.45z - 3.25z

collect like terms

-8 + 3.2z

8 0

2 years ago

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

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3 years ago

Factor completely. n^2 + 7n - 44

4vir4ik [10]

(n+11)(n-4) is your answer

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3 years ago

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Everyone plz help me this is hard for me

timofeeve [1]

Answer:

Step-by-step explanation:

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2 years ago

If a+8 = 12 , then a =ayuda por favor

NARA [144]

Answer:

a = 4

Step-by-step explanation:

a+8 = 12

a= 12-8

a=4

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3 years ago

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