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Mice21 [21]
4 years ago
5

A rectangle has a length that is 12 centimeters longer than its width. Let x represent the width of the rectangle. Which of the

following would represent the area of the rectangle?
Mathematics
1 answer:
Jlenok [28]4 years ago
6 0

Answer:

Step-by-step explanation:

if x is the size of the width, then that means that the length would be x + 12.

now area is = to L * W

that means that (x) * (x+12) = Area

so multiply it out,

you get that x^2 + 12x = Area

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1020.50 divided by $3.25 = 314 tickets sold
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4 years ago
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
Two blocks of wood are shaped as right rectangular prisms. The smaller block has a length of 9 cm, a width of 3 cm, and a height
solmaris [256]
1512 I believe! :) I would double all the dimensions first, then multiply them all together. 
3 0
3 years ago
Read 2 more answers
50 POINTS TO WHOEVER CAN ANSWER QUESTIONS 1-10
Trava [24]

Answer:

1)   x = 4  2)   x = 4   3)  x = -4   4)   x = 3   5)   x = 5   6)   x = 9   7)   x = -8  

8)   x = 11   9)   x = -5   10)   x = -4

Step-by-step explanation:

Alternate Exterior and Alternate Interior angles are equal to each other.  Just set the numbers or equations the give you equal to each other.

Question 1:             Question 2:                 Question 3:               Question 4:

33x+3=135              120=31x-4                    120=x+124                 40x+5=42x-1

33x=132                  124=31x                        -4=x                           6=2x

x=4                          x=4                                x= -4                          x=3

Question 5:             Question 6:             Question 7:             Question 8:

20x+4=19x+9           11x= -9+12x               80=x+88                 10x+20=12x-2

-5= -x                        -x = -9                       -8 = x                      22=2x

x=5                            x= 9                          x= -8                       x=11

Question 9:              Question 10:

70=x+75                   130=x+134

-5 = x                         -4 = x

x = -5                         x= -4

8 0
3 years ago
Read 2 more answers
Given the function g(x) = 6^x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
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Section A and B
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