1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
11

Evaluate. 2^−2⋅(12⋅3)−5^3 Enter your answer in the box.

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

If ^ was meant to be multiplication, the answer would be -159.

You might be interested in
Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to
aivan3 [116]

ANSWER:

The surface area of the star is 3.2700 x 10^{8} square kilometres.

EXPLANATIONS:

Diameter of the star = 1.8083 x 10^{4} Km.

Surface area of the star = 4n^{2}

Where n is the radius of the star.

So that;

n = \frac{ 1.8083 * 10^{4} }{2}

   = 0.90415 x 10^{4}

n =  0.90415 x 10^{4} Km

Thus,

Surface area = 4 x (0.90415*10^{4} )^{2}

                     = 326994889

Surface area = 3.2700 x 10^{8} km^{2}

Therefore, the surface area of the star is 3.2700 x 10^{8} square kilometres.

4 0
3 years ago
Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
Please help worth 20 points will mark brainliest
ddd [48]

Answer:

P(t)= 100t + 150

Step-by-step explanation:

If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.

I hope this helped you. If it did Brainilest is appreciated.

3 0
3 years ago
Mateo has 60 wooden tiles in the shape of diamonds as shown below. He plans to glue these tiles side by side onto a tabletop. Wh
NemiM [27]

Answer:

the base is 6 inches, the height is 4.5 inches. Multiply that by usinhg the formula A = bh your answer will be 27 then multiply that by 60 and your answer is 1,620.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please thank you.
Shkiper50 [21]
3 \sqrt{5} + 6 \sqrt{9} \sqrt{5}
3 \sqrt{5}+6 \sqrt{45}
3 \sqrt{5}+6*3 \sqrt{5}
3 \sqrt{5} + 18 \sqrt{5}  = 21 \sqrt{5}
5 0
3 years ago
Other questions:
  • Express the rate 50 yards per minute in feet per second. Please answer with supporting work.
    10·1 answer
  • “if there are 12 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.”
    13·1 answer
  • Your employee have expressed an interest in flextime, and would like to work 4 days a week instead of 5. The employees have been
    15·1 answer
  • The first term of a geometric sequence is –2 and the common ratio is -1/4.
    13·2 answers
  • 3x+15=8x+25 please help
    10·2 answers
  • What is 1/2 of 7/8? In fraction firm
    12·1 answer
  • A bank sends its customers an email when their accounts fall below —$1. Which inequality models this situation?
    14·1 answer
  • Please help me I really need help
    12·1 answer
  • You pick a card, roll a die, and find the sum. How many different sums are possible?
    12·1 answer
  • Rational exponents; what do i do???
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!