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
marishachu [46]
4 years ago
8

Evaluate. 2^−2⋅(12⋅3)−5^3

Mathematics
2 answers:
Oduvanchick [21]4 years ago
4 0

\text{Hello there!}\\\\\text{Solve the equation:}\\\\2^{-2}\left(12\cdot 3\right)-5^3\\\\0.25(12\cdot3)-5^3\\\\0.25(36)-5^3\\\\9-5^3\\\\9-125\\\\\large\boxed{-116}

Vitek1552 [10]4 years ago
3 0

Answer:

The value of the provided expression is -116.

Step-by-step explanation:

Consider the provided expression.

2^{-2}\cdot (12\cdot 3)-5^3

The above expression can be written as:

\frac{1}{2^2}\cdot (36)-5^3

\frac{1}{4}\cdot (36)-125

9-125

-116

Hence, the value of the provided expression is -116.

You might be interested in
Suppose y varies directly with x and y=20 when x = 10. What is the value of y<br> when x = 30?
S_A_V [24]

Answer:

y = 60

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

y = 2x ← equation of variation

When x = 30, then

y = 2 × 30 = 60

7 0
3 years ago
A bag contains 20 blue blocks, 10 red blocks, 5 white blocks, and 5 green blocks. Find P(red). *
Mashutka [201]

Answer:

Step-by-step explanation:

total =20

red=10

P(red)=10/20=1/2

7 0
3 years ago
Read 2 more answers
Darren picked 25 flowers that he plans to divide evenly into 3 vases. He will use as many flowers per vase as he can, but may ha
lina2011 [118]

Answer:

<h2>He will use flowers per vase</h2><h2>but will have one left</h2>

Step-by-step explanation:

In this problem we are required to place flowers evenly across  3 flower vases.

Given that we have 25 flower to collect from and distribute evenly.

we are going to divide 25 by 3

We have

= \frac{25}{3}\\\\ =8\frac{1}{3}

<u><em>From the result in the improper fraction we can see the Darren can place 8 flowers evenly of the 25 flowers and there will be just one left over</em></u>

5 0
3 years ago
A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 10 characters long, and that eac
Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

brainly.com/question/427252

4 0
3 years ago
For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po
9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)

If you equals this derivative to zero you obtain the value of the angle:

\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal  to 1.

hence, the answer is:

\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}

answer b

7 0
3 years ago
Other questions:
  • A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of
    6·1 answer
  • 3. An optometrist has 50 patients that wear glasses, 100 patients that wear contacts, and 150 patients that do not need correcti
    9·2 answers
  • What is the LCM of two numbers that have no common factors greater than one give an example
    14·1 answer
  • Alex eats 5 servings of fruits and vegetables each day at this rate ,how servings of fruits and vegetables does he eat in 12days
    11·1 answer
  • Cody's Bikes rents bikes for $18 plus $5 per hour. Mofor paid $48 to rent a bike. For how many hours did he rent the bike? _
    6·1 answer
  • One number is 6 less than another. The product of the numbers is 72. Find<br> the numbers
    12·1 answer
  • Mrs. Ramirez's income increased 140% last year. To model this percent, use ____________
    9·1 answer
  • Use the Distributive Property to<br> REWRITE -2(4 - 7x)
    5·1 answer
  • The quotient of a number y and 2 When y equals 6
    10·1 answer
  • Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!