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Leno4ka [110]
4 years ago
5

Find the values of the variables

Mathematics
1 answer:
Jlenok [28]4 years ago
6 0

Answer:

You can use Pythagoras theorem to calculate x:

12² + 14² = x²

144 + 196 = x²

           x² = 340

           x   = √340 ≈ 18,44

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The amount y (in grams) of the radioactive isotope fermium-253 remaining after t hours is y=a(0.5)t/72, where a is the initial a
almond37 [142]

Answer:

Per hour decay of the isotope is 0.96%.

Step-by-step explanation:

Amount of radioactive element remaining after t hours is represented by

y=a(0.5)^{\frac{t}{72}}

where a = initial amount

t = duration of decay (in hours)

Amount remaining after 1 hour will be,

y=a(0.5)^{\frac{1}{72} }

y = 0.9904a

So amount of decay in one hour = a - 0.9904a

                                                      = 0.0096a gms

Percentage decay every hour = \frac{\text{Amount of decay}}{\text{Initial amount}}\times 100

                                                  = \frac{0.0096a}{a}\times 100

                                                  = 0.958 %

                                                  ≈ 0.96 %

Therefore, per hour decay of the radioactive isotope is 0.96%.

7 0
3 years ago
a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representati
seropon [69]

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

8 0
3 years ago
The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the deale
marusya05 [52]

The number of cars that sold on the third week is (P3=26)

The number of cars that sold on the first week is (P4=33)

<u>Step-by-step explanation:</u>

<u>Given:</u>

  • The number of cars that sold on the first week is (P0=7)
  • The number of cars that sold on the second week is (P0=12)

We have to find the number of cars being sold on the upcoming week

From the data given above, frame the equation

Pn = Pn −1+7   ( 12-5=7  it denotes the cars sold in the first and the second  week)

Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)

(If n=3)

Pn=5+7(3)

Pn=26

The number of cars that sold on the third week is (P3=26)

(If n=4)

Pn=5+7(4)

Pn=33

The number of cars that sold on the first week is (P4=33)

5 0
3 years ago
A surveying instrument is 5 feet from the ground, 22 feet from the base of a building. The angle of elevation from the top of th
g100num [7]

Answer:

\frac{\left(22\cdot \sin \left(60\right)\right)}{\sin \left(30\right)} +5

43.1 ft

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Riddle
erma4kov [3.2K]

Answer:

100 minutes?

lol

5 0
4 years ago
Read 2 more answers
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