Answer:
671,088,640.
Step-by-step explanation:
To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:
10 x (4 ^ 13) = X
10 x 67,108,864 = X
671,088,640 = X
Therefore, the 14th term of the geometric sequence will be 671,088,640.
Answer:
22 miles.
Step-by-step explanation:
7 1/3 ×3=22
Answer:
2.404 x 10^6?. A. the population of Iowa. B. the diameter (in meters) of an atom. C. the thickness (in meters) of a sheet of printer paper. D. the amount of money (in US dollars) in the average checking account. .
When 2.404 x 10^6 is expressed in another form, the number is equal to 2,404,000. The population of a place would possibly be around this number. It cannot be the diameter of an atom since the number is too large not the thickness of a paper. It is not a common case also that the money in a bank account is around this number. Answer is A.
Answer:
He has 30 penguins and 10 cats.
Step-by-step explanation:
Let's define the variables:
C = number of cats.
P = number of penguins.
We know that he has a total of 40 pets, then:
C + P = 40
We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)
Then we have the equation:
40 + 2*P = 4*C + 2*P
Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:
(40 + 2*P) - 2*P = 4*C + 2*P - 2*P
40 = 4*C
Now with this, we can find the value of C.
40/4 = C = 10
Then he has 10 cats.
Now we can replace this in the equation:
P + C = 40
to find the value of P
P + 10 = 40
P = 40 - 10 = 30
P = 30
He has 30 penguins.
Answer:
Deon drove the truck 201 miles.
Step-by-step explanation:
Base Fee + (.98* Number of miles)= Cost
19.99 + .98x = 216.97
Subtract 19.99 from both sides.
.98x = 196.98
Divide both sides by .98
x = 201
