1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
3 years ago
9

Jack is performing an experiment in a laboratory. The resulting rise in temperature, t(x), of the chemical under observation, ov

er time x, in hours, for the first ten hours can be modeled by a cubic function. Each of the following functions is a different form of the cubic model for the situation given above. Which form would be most helpful if attempting to determine the time at which the temperature is approximately constant?
t(x) = 0.05x(x2 - 15x + 75) + 43.75

t(x) = 0.05(x - 5)3 + 50

t(x) = 0.05(x3 - 15x2 + 75x + 875)

t(x) = 0.05x3 - 0.75x2 + 3.75x + 43.75
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
7 0
I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.
k0ka [10]3 years ago
7 0

Answer:

t(x)= 0.05(x-5)^3+50

Step-by-step explanation:

Since the balance point in a cubic function appears on the line of symmetry, it is the vertex itself.  A translation h units to the right and k units up of a cubic function, which has the vertex at the origin, can be represented by the function in the following form, where (h,k) is the vertex of the function.

 

You might be interested in
Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of
IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  • np ≥ 10
  • n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

8 0
3 years ago
Demetrius is single but would like to take care of his mother in the event of his death. He would like to replace her income of
Helen [10]

Answer:

750000

Step-by-step explanation:

8 0
1 year ago
Find the value of unknown angle x,y,z,a,b,c with reasons and full process​
Oduvanchick [21]

Answer:

Step-by-step explanation:

x = 70 degree (being vertically opposite angles)

y + 70 degree =180 degree (being linear pair)

y = 180 - 70

y = 110 degree

In triangle,

x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)

70 + 60 + missing angle =180

130 + missing angle = 180

missing angle = 180 - 130

missing angle = 50 degree

c = missing angle (being vertically opposite angles )

c = 50 degree

x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)

70 + 50 = a

120 degree = a

a = b (being vertically opposite angle

120 =b

therefore b is 120 degree

Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree

7 0
3 years ago
1.3n-0.03=-9 (solve for n) grade lvl. 7
bazaltina [42]

Hello from MrBillDoesMath!

Answer:

-6.9


Discussion:  

1.3n - 0.03 = -9     =>              multiply both sides by 100

130n - 3 = -900 =>

130n = -900 +3 =  -897 =>     add 3 to both sides

n = -897/130  =>

n =  - (69 * 13)/ (10*13) =>

n = - 69/10 = - 6.9




Thank you,

MrB

4 0
3 years ago
I need help help please
Nitella [24]

Answer:

I think it is b

Step-by-step explanation:

I hope this is correct

6 0
2 years ago
Other questions:
  • Find the area of a uneven leaf
    7·1 answer
  • (३) एक शब्द में उत्तर लिखो:
    14·1 answer
  • Find a second degree polynomial f(x) (of the form ax^2+b^x+2 that has a local extrema at (−5/8,7/16).
    13·1 answer
  • The sum of three consecutive even numbers is 48. what is the largest of these numbers?
    12·1 answer
  • What is the doubling time of bacteria if you start with two bacteria and there are 128 bacteria after 3hrs?
    6·1 answer
  • What will be the compound interest p=25000 r= 12% p.a for 5 years
    15·2 answers
  • How can you<br> change the equation y = mx + b to<br> shift the graph down?
    6·1 answer
  • . An Olympic runner completed a 100-meter race with a time of 12.5 seconds. What was her average speed?
    14·1 answer
  • Please help it’s due soon i’ll give brainlist
    11·2 answers
  • 10 cups of flour for every 8 table spoons of honey how many cups of flour do i need for 13 tablespoons of honey
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!