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denpristay [2]
3 years ago
15

Simplify the following expression. -11x^2+10x-9x^2+6

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
-11x^2+10-9x^2+6
Combining like terms:
(-11x^2 + -9x^2) + (10x) +(6)

You’ll get:

= -20x^2 + 10x+6
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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o
Korvikt [17]

Answer:

a) k = 0.000124

b) According to these data, the Shroud of Turin has around 760 years.

Step-by-step explanation:

The amount of carbon-14 is modeled by the following equation:

C(t) = C_{0}e^{-kt}

In which C_{0} is the initial amount and k is the rate of decrease.

(a) Find the value of the constant k in the differential equation.

Half-life of 5595 years.

So C(5595) = 0.5C_{0}

C(t) = C_{0}e^{-kt}

0.5C_{0} = C_{0}e^{-5595k}

e^{-5595k} = 0.5

Applying ln to both sides

-5595k = -0.69

k = 0.000124

b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?

This is t when C(t) = 0.91C_{0}

C(t) = C_{0}e^{-kt}

0.91C_{0} = C_{0}e^{-0.000124t}

e^{-0.000124t} = 0.91

Applying ln to both sides

-0.000124t = -0.094

t = 760.57

According to these data, the Shroud of Turin has around 760 years.

8 0
4 years ago
Help! evaluate this number
romanna [79]

Answer:

-12×3 = -36.............

4 0
3 years ago
Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu
Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Read more about Cost Functions at; brainly.com/question/14038368

#SPJ1

7 0
2 years ago
Please help. -----------------------------------------
Contact [7]

Answer:

D

Step-by-step explanation:

the equation tells you that 1 yard is 3 feet

so when you move one unit to the right on the x-axis, you should move three units up on the y-axis

3 0
3 years ago
Complete each subtraction equation below as an addition equation. a − 9 = 6
Sunny_sXe [5.5K]

Answer: a = 15

Step-by-step explanation:

15 - 9 = 6

4 0
3 years ago
Read 2 more answers
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