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Korolek [52]
4 years ago
7

PLEASE HELP ME THIS IS FOR A TEST GRADE !!!!! AND I NEED HELP ASAP

Mathematics
2 answers:
kicyunya [14]4 years ago
6 0

g(t) = t - 2\\h(t) = 3t + 3\\(g \circ h)(t) = g(h(t)) = (3t + 3) - 2 = 3t + 3 - 2 = 3t + 1

olya-2409 [2.1K]4 years ago
3 0
G (3t+ 3)= 3t + 1


Write the problem as a mathematical expression.

h (t) = 3t + 3 , (g o h) (t),
g (t) = t -2


Set up the composite result function.

g (h (t))


Evaluate g(h(t)) by substituting in the value of h into g

g (3t +3 ) = (3t + 3) -2

Subtract 2 from 3

g (3t +3 ) = 3t + 1
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Ellen says that one and 2/5 equal 5÷7. Is she correct? Explain.
zhuklara [117]
No because 2/5 is the same as 2 divided by 7, so 2/5 = 0.4 where 5 divide by 7 is 0.714….. so they’re not equal.
7 0
2 years ago
Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome
pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

V = \frac 23\pi r^3

Differentiate the above equation

V' = 2\pi r^2 r'

The above equation represents the estimate of the amount of paint needed.

Where:

  • r represents the radius (r = 52/2 m)
  • r' represents the thickness (r' = 0.04 cm)

So, we have:

V' = 2\pi r^2 r'

V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)

V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)

Express cm as m

V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)

V' = 0.065312 m^3

Hence, the amount of paint needed is 0.065312 cubic meters

Read more about volumes at:

brainly.com/question/10171109

3 0
2 years ago
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

6 0
3 years ago
I need help on this problem pls 13 - 2n = 7 - 3n
Mrrafil [7]
13 - 2n = 7 - 3n
Answer: n = -6
6 0
3 years ago
A pizza place offers 10 topping choices for their pizzas. How many different two-topping pizzas can you order?
navik [9.2K]
You can order 100 different two- toppings pizzas
7 0
3 years ago
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