a cylindrical can needs to have a volume of 6 cubic inches a label is to go around the side of the can. The function S(r)=12/r gives the area of the label in square inches where r is the radius of the can in inches

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

Answer:

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) (the second option)

Step-by-step explanation:

there are no elements that are contained in all of the intervals thus making the second expression have no solution

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

The ordered pair (15, 12) means that 15 pounds of beans cost $12.

Step-by-step explanation:

Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.

Knowing this, (15,12) means that 15 pounds of beans must cost $12.

Answer:

75%

Step-by-step explanation:

Answer:

3y + 1

Step-by-step explanation:

(4y + 3) - (y - 2)

*subtract y from 4y because like terms must be combined*

3y + 3 - 2

*subtract 2 from 3*

3y + 1

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

Step(i):-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

The Altitudes are perpendicular line from one side of the triangle to the opposite vertex

The altitudes are  MN , KO , LP

step(ii):-

   Slope of the line  

                          [tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]

The slope of MN =

The perpendicular slope of KL

                           = [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

                                [tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]

                               4y +12 = x -4

                                x - 4 y -16 = 0 ...(i)

Step(iii):-

 Slope of the line  

                          [tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]

The slope of KO =

The perpendicular slope of LM

                           = [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

                                [tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]

                                2y +6 = x -3

                             x - 2y -9 =0 ....(ii)    

Solving equation (i) and (ii) , we get

  subtracting equation (i) and (ii) , we get

                   x - 4y -16 -( x-2y-9) =0

                       - 2y -7 =0

                      -2y = 7

                        y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

               x - 4( -3.5) - 16 =0

               x +14-16 =0

                x -2 =0

                  x = 2

The orthocentre of the given vertices ( 2 , -3.5)

Answer:

(x - 5) (x - 4)

x(x - 4) - 5(x -4)

x^2 - 4x - 5x - 20

x^2 - 9x - 20

Expand: x (x - 4) - 5 (x - 4)

Simplify: x^2 - 9x - 20

Answer:

Step-by-step explanation:

Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece

Answer:

the answer would be A.

Step-by-step explanation:

4 * 2^3/2^3

4 * (2)(2)(2)/ (2)(2)(2)

4 * (4)(2)/ (4)(2)

4 * (8)/ (8)

4 * 1

=4

so yeah A is the correct answer.

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

Answer:

12x + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

6 + 4(3x - 2) + 5

Step 2: Simplify

Answer:

x=5

Step-by-step explanation:

i think you posted this question twice, but here it is:

in order for this figure to truly be a kite, AD and AB have to be equal.

So:

4x=x+15

now we must solve the equation:

3x=15

x=5

Answer:

Step-by-step explanation:

1/24

Answer: Henrik grew 147 more potatoes than Derek

Step-by-step explanation:

Your income determines your credit score

False.

Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.

Answer:

[tex]\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}[/tex]

Step-by-step explanation:

Given two expressions ,

[tex] \qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81 [/tex]

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

Factorising x² - 9 :-

[tex]= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ][/tex]

Factorising 3x³ + 81

[tex]= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] } [/tex]

Hence we can see that (x+3) is common factor in both expressions.

Hence the LCM is ( x+3 ) .

Answer:

3.66

Step-by-step explanation:

You have four numbers which sum equals 14.64. Now you divide 14.64 by 4 to get 3.66, or the mean/average

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

A right angle triangle is a triangle in which one of the three angles is a right angle.

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177

#SPJ2

Answer:

Area = 1500 Sq m

Cost of grassing = ₹105000

Step-by-step explanation:

Area of the park = 50*30 = 1500 Sq m

Cost of grassing = 1500*70 =₹ 105000

Answer:

B

Step-by-step explanation:

x ≥ 0

y ≥ 0

x + y ≤ 25

12x + 9y ≥ 275

hope this helps <3

Answer: 22 ft²

Step-by-step explanation:

To find the area of a rectangle, we multiply the length and width. It doesn't matter which is which as we get the same answer in the end.

Given information:

Length = 11 ft

Width = 2 ft

Area = length x width

Area = 11 ft x 2 ft = 22 ft²

You'll notice the unit is feet squared or ft², because feet x feet gives us feet².

Answer:

45 plants

Step-by-step explanation:

Given that:

Length of bed = 120 in

Width of bed = 240 in

Perimeter of a rectangle is given by :

P = 2(length + Width)

Therefore,

P = 2(120 + 240)

Perimeter = 720 inches

If a spacing of 16 inches will be used ; number of plants needed ;

Perimeter / 16

= 720 in / 16 in

= 45

Answer:

the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Step-by-step explanation:

Given that;

discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)

Using DFT to compute the spectrum

The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.

Here, f₀ is sinusoid's frequency and Td is the segment duration

Now we calculate the period of the signal

2π/ω = 2π/0.75π

ω =  2 / 0.75

( × 4 )

ω =  8 / 3

Here, the numerator value is the period of the signal

T₀ = 8

The spectral leakage will not be present in the spectrum if N is  the Integer multiple of period T₀.

Therefore, the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Answer:

Between 80 and 160

Step-by-step explanation:

this is  such a bad graph i honestly could not give you an exact answer

Answer:

undefined

Step-by-step explanation:

when x has the same number is undefined

but when y has the same is zero