The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Answer:

Answering the part about who created the first equation:

There are a lot of different ways to solving cubic equations, but the first one is given by Gerolamo Cardano, who published it, and the equation was created by Scipione del Ferro, an Italian mathematician who was born in 1465. He did not make a lot of other contributions to mathematics, some of his other works were related to the rationalization of fractions with denominators containing sums of cube roots

This equation was called "Cardano's formula", and originally only worked for depressed cubic equations ( x^3 + p*x + q = 0)

But there are variations that can be used for more general cubic equations, of the form:

a*x^3 + b*x^2 + c*x + d = 0.

Answer:The total cost, C, is the sum of the cost to produce the centerpieces and the fixed cost. The equation for C is C = 8n + 500.

The total revenue, R, of Julio's floral business is the product of the cost per centerpiece and the number of centerpieces sold. The equation for R is R = 19.50n.

Step-by-step explanation:

Answer:

77.5

Step-by-step explanation:

Answer:

9.5-2.75=h

Step-by-step explanation:

Answer:

It should be C.

Step-by-step explanation:

Answer:

it is the first bubble the one you have already selected

Answer:

The best course grade your friend can earn is 0.848 = 84.8%.

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

Step-by-step explanation:

This is a weighed average problem, in which we multiply each grade by its weight.

We have that:

In 80% of the course, the friend has a grade of 81%.

In the other 20%, he will have x.

What is the best course grade your friend can earn?

This will happen if he earns 100% = 1 on the final test. So

[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]

The best course grade your friend can earn is 0.848 = 84.8%.

What is the minimum score would your friend would need on the final to earn a 75% for the course?

This is x, when the grade is 0.75. So

[tex]0.75 = 0.8*0.81 + 0.2x[/tex]

[tex]0.2x = 0.75 - 0.8*0.81[/tex]

[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]

[tex]x = 0.51[/tex]

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

Answer:

x=5

Step-by-step explanation:

hope this is correct have a wonderful day! <3

Answer:

x=5

Step-by-step explanation:

10+1.5x=3.5x

Subtract 3.5x from both sides.

10+1.5x−3.5x=0

Combine 1.5x and −3.5x to get −2x.

10−2x=0

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

−2x=−10

Divide both sides by −2.

x=  −2 /−10

​Divide −10 by −2 to get 5.

x=5

Answer:

i think 0.38

Step-by-step explanation:

Answer:

The answer is root 7

Step-by-step explanation:

You can find out that ΔABC is isosceles, and CD bisects AB, so AD = 2 - and now you have 2 sides given in ΔADC

Use the Pythagoras Theorum to find the hypotenuse AC

The answer is the square root of 7

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

Answer:

f(5) is equal to 5.

Step-by-step explanation:

You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value.  If you look closely, you'll see that the x value of 5 has a y value of 5 as well.

Answer:

the second one -9/4 divided (-2/3)

Step-by-step explanation:

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

Answer:

yes the sum of any triangle is 180°

Step-by-step explanation:

I hope it's helps you

Answer: Total cost would be 10,320

Step-by-step explanation: Hope this helps

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:

sum = ( n - 2 ) * 180°     where 'n' is the number of sides.

When 'n = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:

Interior Angle = sum° / n   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

Answer:

a number 12

Step-by-step explanation:

duh bro

Answer:

$460.38

Step-by-step explanation:

Use the exponential decay formula, y = C(1 - r)^t

Plug in the original price, depreciation rate, and amount of time:

y = 20000(0.875)^11

y = 460.38

So, the car's value after 11 years will be $460.38

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Answer:

180 minutes so 3 hours

Step-by-step explanation:

Answer:

12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%

Step-by-step explanation:

On the Decimal numbers just move the decimal place over 2 to the right

and add a percent

Answer:

b = 39

Step-by-step explanation:

The two sides are equivalent so we can use this information to form an equation.

2b - 39 = b

-39 = -b

39 = b

Answer:

y=-1 1/3+18

Step-by-step explanation:

isolate the y and divide both by 9

Answer:

33.31 cm or higher

Step-by-step explanation:

Given that:

Mean = 29.79 cm

Standard deviation, s = 1.76 cm

According to the range rule of thumb, values which are greater than or equal to 2 standard deviations from the mean are significantly high values :

Significantly high values are :

Mean + 2(standard deviation)

29.79 cm + 2(1.76)

29.79 + 3.52

= 33.31cm

Answer:

It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table

Answer:

723,000

Step-by-step explanation:

Answer:

723,000

Step-by-step explanation:

Nearest thousand → 1000

723,000