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3 years ago

Which operation should you perform first when evaluating the expression 3²+ 2

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

<h3>Answer: Exponents is done first (evaluate $3^2$ first)</h3>

Explanation:

The acronym PEMDAS helps determine the order of operations

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

With the expression $3^2+2$ we have two operations going on here: exponents and addition.

Since exponents comes before addition (E comes before A in PEMDAS), this means we evaluate $3^2$ first, then add later.

Harrizon [31]3 years ago

6 0

Answer:

You should calculate 3² first.

Step-by-step explanation:

In PEMDAS, E (which stands for exponents) comes before A (which stands for addition) so therefore you should calculate 3² first.

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an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

3 years ago

A<br> 100 cm²<br> b<br> 9 cm²<br> c<br> 225 cm²<br> d<br> 28.26 cm²

nasty-shy [4]

Answer:

28.26 cm^2

Step-by-step explanation:

A = (pi)r^2

A = 3.14 * (3 cm)^2

A = 3.14 * 9 cm^2

A = 28.26 cm^2

6 0

3 years ago

Simplify -3+6i-(-5-3i)-8i

borishaifa [10]

Answer:

2 +i

Step-by-step explanation:

-3+6i-(-5-3i)-8i

Distribute the minus sign

-3 +6i +5 +3i -8i

Combine like terms

-3+5 +6i +3i -8i

2 +i

4 0

3 years ago

Insanity offers birthday parties for a fee of $160 plus $4 per person. If you can spend no more than $200 on your party, what is

never [62]

Max amount of people who can attend is 10.

200-160=40
40 ÷4= 10

4 0

3 years ago

Please help!!!!!!!!!!!!!!!! 100pts,

Helga [31]

QUESTION:

The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.

ANSWER:

Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–

P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.

Since there are 10 digits to choose from, we can assume that n = 10.

Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.

Now, plug these values into the formula and solve:

= 10!(10−5)!

= 10!5!

= 10⋅9⋅8⋅7⋅6

= 30240.

3 0

2 years ago

Which operation should you perform first when evaluating the expression 3²+ 2​

Which operation should you perform first when evaluating the expression 3²+ 2