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
bixtya [17]
3 years ago
13

Using the order of operations , solve the value of the expression.

Mathematics
1 answer:
velikii [3]3 years ago
8 0
Hello.

\frac{1}{6} (\sqrt{36} \div 3^{-2}) + 4^{3} \div |-8| = \\ \\ \frac{1}{6} (6 \div \frac{1}{9}) + 64 \div 8 \\ \\ \frac{1}{6} \times 54 + 8 \\ \\ \frac{54}{6} + 8 \\ \\ 9 + 8 = \\ \\ 17

Hope I helped!
You might be interested in
Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea
iren [92.7K]

Answer:

  72 square units

Step-by-step explanation:

The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:

  A = LW

  A = (12)(6) = 72 . . . . square units

__

<em>Additional comment</em>

Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.

5 0
3 years ago
What two numbers can add to 4 but multiple to -12
olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

x+y=4\qquad\qquad [1]

x.y=-12\qquad\qquad [2]

Solving [1] for y:

y=4-x

Substituting in [2]

x(4-x)=-12

Operating:

4x-x^2=-12

Rearranging:

x^2-4x-12=0

Solving with the quadratic formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

With a=1, b=-4, c=-12:

\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}

\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}

\displaystyle x=\frac{4\pm 8}{2}

The solutions are:

\displaystyle x=\frac{4+ 8}{2}=6

\displaystyle x=\frac{4- 8}{2}=-2

This confirms the preliminary results.

Numbers: 6 and -2

7 0
3 years ago
Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, find
scoundrel [369]

Answer:

So the height is 12

Step-by-step explanation:

Let W be the width

Let W- 4 be the height

W2 +(W-4)2 = 400

So: W2 -4W-192 =0

One uses the quadratic solution:

W = (4 + (16 + 4*192).5)/2 = 16

7 0
3 years ago
Help.
Zinaida [17]

Answer:

Eat them. )llllllllllllllllllllllllll)

4 0
3 years ago
Read 2 more answers
Put the following in order for the most area in the tails of the distribution. ​(a) Standard Normal Distribution ​(b) Student's​
tensa zangetsu [6.8K]

Answer:

(b) (c) (a)

Step-by-step explanation:

Standard Normal distribution has a higher peak in the center, with more area in this región, hence it has less area in its tails.

Student's​ t-Distribution has a shape similar to the Standard Normal Distribution, with the difference that the shape depends on the degree of freedom. When the degree of freedom is smaller the distribution becomes flatter, so it has more area in its tails.

Student's​ t-Distributionwith 1515 degrees of freedom has mores area in the tails than the Student's​ t-Distribution with 2020 degrees of freedom and the latter has more area than Standard Normal Distribution

5 0
3 years ago
Other questions:
  • Help with interest rate need the answer
    7·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.<br><br> X = ___ cm
    8·1 answer
  • Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line
    7·1 answer
  • Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give
    9·1 answer
  • The school store opened on the first day of school with 35 notebooks and 15 pencils. Within 2 days it sold all of those items. O
    10·2 answers
  • Whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1
    12·1 answer
  • An essay contains 549 words. To the nearest hundred, how many words are in the essay?
    15·2 answers
  • Find the value of x to the nearest tenth.
    11·1 answer
  • a classroom measures 32 ft long, 25ft wide, and 9ft high. The comb9ned area of doors and windows is 140ft. What is the remaining
    8·1 answer
  • The function f(x) = -(x+4)^2+5 is written in vertex form and shows that the vertex of the graph of f is located at (-4,5)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!