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3 years ago

Solve for h 12h = 4(2h-5) h=

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

3 0

......,.... the answer is h= -5

Evgen [1.6K]3 years ago

3 0

12h = 4(2h-5)
12h = 8h - 20
12h - 8 h = -20
4h = -20
h = -20/5
h = -5

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3 years ago

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3 years ago

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate

andriy [413]

Answer:

The average rate of change

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

at t=3

Step-by-step explanation:

Step(I):-

The given function h(t) = 3+70t - 16t²

$\frac{dh}{d t} = 70 (1) - 16(2t)$

The $\frac{dh}{d t} = 70 (1) - 16(2t) =0$

70 - 32 t = 0

⇒ 70 = 32 t

⇒ $t = \frac{70}{32} = \frac{35}{16}$

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

At t = 3

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3 years ago

Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate

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Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

f(x) = 1500(0.97)ˣ

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2 years ago

A BOX OF 7 ITEMS COSTS $20.79. FIND THE COST OF EACH ITEMS,

gtnhenbr [62]

Answer:

D. $3.

Step-by-step explanation:

We have been given that a box of 7 items costs $20.79. We are asked to find the cost of each item.

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Upon rounding our answer to nearest dollar, we will get:

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Therefore, the cost of each item will be approximately $3 and option D is the correct choice.

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4 years ago