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
Svetradugi [14.3K]
2 years ago
10

Evaluate the expression for the given value of the variable 39 +1/8n=? n= - 1/2

Mathematics
2 answers:
kati45 [8]2 years ago
8 0
Exact form = 623/16
Decimal form = 38.9
Mixed number form= 38 15/16
I am Lyosha [343]2 years ago
5 0
The answer is I’m just doing this for points
You might be interested in
Hello can anyone help me with these problems please and thank you
Schach [20]

Answer:

94)=154°

95)=40°

96)=11

97)=11

98)=9

5 0
2 years ago
What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r
12345 [234]

Answer:

the volume of the solid is \frac{\pi }{120}

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = \frac{\pi }{4}( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ \frac{\pi }{4}( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ \frac{\pi }{4}( x² + x⁴ - 2x³ ) dx  

= \frac{\pi }{4} [ \frac{x^3}{3} + \frac{x^5}{5} - \frac{2}{4} x^4 ]^1_0

= \frac{\pi }{4}[ \frac{1}{3} + \frac{1}{5} - \frac{2}{4} ]

= \frac{\pi }{4}[ \frac{1}{30} ]

V = \frac{\pi }{120}

Therefore, the volume of the solid is \frac{\pi }{120}

6 0
2 years ago
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
3 years ago
What is the Properties of Equality
Vesna [10]

Hi there,

Properties of Equality is two equations that have the same solution which are called equivalent equations. For example: 5+3=2+6 which all equal to 8.

In geometry, properties of Equality are the reflexive (2x=2x, a=a, b+1=b+1), symmetric (2a=3b then 3b=2a) and transitive property (if a+1=3 and 3=1-b, then a+1=1-b)

Hope this helped :)

Have a great day

7 0
3 years ago
What value of x makes this equation true?<br> 5-2(x + 8) = 6x + 7
zhuklara [117]

Answer:

x = negative 9/4

Step-by-step explanation:

-2x-11=6x+7

-2x-11+11=6x+7+11

-2x=6x+18

-2x-6x=6x+18-6x

-8x=18

4 0
2 years ago
Other questions:
  • Find the perimeter of this sector. Give your answer in terms of <br><img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" ti
    6·1 answer
  • How would you solve this ?
    7·1 answer
  • What is the slope of a line parallel to the line whose equation is 12x+15y=225
    8·1 answer
  • -3x+3y=4 -x + y = 3 solve using elimination
    11·1 answer
  • Helpp i really neeed it
    11·1 answer
  • In your own words, describe what an outlier is. Give a real life example of an outlier.
    6·1 answer
  • The temperature on Monday was -23° F. The temperature on Tuesday was 18° higher. What was the temperature on Tuesday?
    8·1 answer
  • What is the equation of the line that passes through the point (- 2, 0) and has a slope of ? 5/2 ?​
    10·1 answer
  • Please help me with this I need help.<br>​
    8·2 answers
  • Point Q is on line segment \overline{PR}
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!