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Igoryamba
3 years ago
13

Which operation should be performed first according to the order of operations? 3(4)^2/4+16-9

Mathematics
1 answer:
skad [1K]3 years ago
5 0
PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction

ask yourself which one of these comes first in the given equation

hint: its the exponent 
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Expand the following using the Binomial Theorem and Pascal's Triangle. Please show work.
lilavasa [31]

The answer is:
32x^5+ 240x^4+ 720x^3+ 1080x^2+810x+243

8 0
3 years ago
What is the domain and range of the function graphed??
PIT_PIT [208]
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
5 0
3 years ago
A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of
FinnZ [79.3K]

Answer:

k \approx 0.44

Step-by-step explanation:

Given function:

f(t) = (ce)^{-kt}+32

As per question statement:

Initial temperature of bottle is 70 ^\circ F.

i.e. when time = 0 minutes, f(t) = 70 ^\circ F

70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38

After t = 3, f(t) = 42^\circ F

42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10  = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8}   (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44

Hence, the value is:

k \approx 0.44

8 0
4 years ago
If Pam has $40 in her account how much does her brother have on his
Crank

Answer:

brother has $100

Step-by-step explanation:

Pam and her brother both open savings accounts. each begin with a balance of $0. For every $2 is that Pam saves in her account her brother saves $5 in his account

P:brother =2:5

when P=40 what is brother?

2/5=40/b

times 5b both sides

2b=200

divide 2

b=100

brother has $100

8 0
3 years ago
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total
arlik [135]

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

8 0
3 years ago
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