In​ 1964, paleontologists discovered the bones of a new species of dinosaur. The age of the dinosaur was estimated using​ potassium-40 dating of rocks surrounding the bones. Analysis of these rocks indicated that 88.7​% of the original amount of the​ potassium-40 was still present. The decay model for​ potassium-40 is Upper A equals Upper A 0 e Superscript negative 0.52912 t Baseline comma where t is in billions of years. Let Upper A equals 0.887 Upper A 0 in this decay model and estimate the age of the bones of the dinosaur.

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Answer 1
Answer:

Answer:

in 1934 time travel didn't exit in that case no aliens

Step-by-step explanation:


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Explain how you can use a straightedge and a compass to construct and angle that is both congruent and adjacent to a given angle?

Answers

Explain how you can use a straightedge and a compass to construct and angle that is both congruent and adjacent to a given angle?

Answer: for this you will simply have to use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent.

I hope it helps, Regards.
Let's say x is the given angle

with compass point at A , draw a large arc cutting the line at C

then place compass at point c and draw a small arc through D

Then keeping the compass point at C, draw a similar small arc at E

Join A and E with straight edge

hope this helps

Convert 3.2 repenting decimal into a fraction

Answers

x =3.\bar{2}\n10x = 32.\bar{2}\n\n 10x - x = 32.\bar{2} - 3.\bar{2}\n9x = 29\nx = (29)/(9)\n\n\n \boxed{\bf{(32)/(9) = 3.\bar{2}}}

Camillo estimates the weight of his dog. The veterinarian says that the dog weighs 84 pounds. The percent error in Camillo's estimates is less than 10%.Decide whether each of the following weight estimates could have been Camillo's estimate.
a. 80 pounds yes or no
b. 78 pounds yes or no
c. 94 pounds yes or no
d. 77 pounds yes or no
e. 92 pounds yes or no
f. 75 pounds yes or no

Answers

Answer:

A.Yes B.Yes C.No D.Yes E.No F.No

Step-by-step explanation:

10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.

Final answer:

Camillo's weight estimate could have been 80 pounds, 78 pounds, 77 pounds, or 92 pounds.

Explanation:

The percent error measures the discrepancy between an estimated value and an actual value. It is calculated using the formula: Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100%. Since the given problem states that Camillo's estimate has a percent error less than 10%, we can calculate the percent error for each weight estimate and determine if it is less than 10%.

  • a. 80 pounds: Percent Error = (|80 - 84| / 84) * 100% = 4.76%, which is less than 10%. So, yes, this could have been Camillo's estimate.
  • b. 78 pounds: Percent Error = (|78 - 84| / 84) * 100% = 7.14%, which is less than 10%. So, yes, this could have been Camillo's estimate.
  • c. 94 pounds: Percent Error = (|94 - 84| / 84) * 100% = 11.9%, which is not less than 10%. So, no, this could not have been Camillo's estimate.
  • d. 77 pounds: Percent Error = (|77 - 84| / 84) * 100% = 8.33%, which is less than 10%. So, yes, this could have been Camillo's estimate.
  • e. 92 pounds: Percent Error = (|92 - 84| / 84) * 100% = 9.52%, which is less than 10%. So, yes, this could have been Camillo's estimate.
  • f. 75 pounds: Percent Error = (|75 - 84| / 84) * 100% = 10.71%, which is not less than 10%. So, no, this could not have been Camillo's estimate.

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A car travels 32 km due north andthen 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.

Answers

Answer:

73.2km

Step-by-step explanation:

first you have to decompose 46 km into y and x components.

x=sin40°*46km

x=0.64*46km

x=29.44km

y=cos40°*46km

y=0.76*46km

y=34.96

now you add the y components together

32+34.96=66.98

finally use Pythagorean thereom to find the resultant vector.

a*a+ b*b=c*c

66.98*66.98+29.44*29.44=c*c

c*c= 4486.3+866.7

c=√5353

c=73.2 km this is the approximate value

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $625. If he rented the same boat on Monday for just two hours, what is the cost for Jake to rent the pontoon boat for the entire three-day weekend?

Answers

Final answer:

The total cost for Jake to rent the pontoon boat for the entire three-day weekend, based on an estimated average hourly rate of $135, was $1330.

Explanation:

Firstly, we need to determine the hourly rate for the pontoon boat rental. We can use the information given for the Saturday and Sunday rentals to calculate this:

  1. Saturday: $435 for 3 hours, or $435 / 3 = $145 per hour
  2. Sunday: $625 for 5 hours, or $625 / 5 = $125 per hour

These two rates are different, so it's possible that a higher rate was charged for shorter rental times. To calculate the average, we add the two rates and divide by 2, giving us an average hourly rate of $135.

Finally, to calculate Jake's total cost for the weekend, we assume that the Monday rental also had the same $135 per hour rate, and multiply this rate by 2 hours. This gives us a Monday cost of $270. Adding this to the Saturday and Sunday costs, Jake's total cost for the three-day weekend was $435 + $625 + $270 = $1330.

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Answer: $1400 for the total 3 days

Step-by-step explanation:

A= (3,435)

B= (5,625)

625-435 190

M= ————— = —— = 95

5-3 2

Y- 435= 95(x-3)

Y - 435= 95x - 285

Y= 95x + 150

95(2) + 150

190 + 150

= $340 for Monday

Finally,

435 + 625 + 340= $1400 for 3 days

The corresponding sides of two similar triangles are (congruent or proportional).The corresponding angles of two similar triangles are (congruent or proportional)

Answers

Your answer is congruent. (Su respuesta es congruente) 
it is congruent because if the two sides are simialer then that means they fall under the congruent section.