Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. Complete each statement.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]

A.2

3^2 = 9

(any number greater than one because 3^1 = 3, this is not greater than 3)

B. 0

3^0 = 1

(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)

Hope this helps!

Answer:  r = 11.3

Step-by-step explanation:

In order to find the radius given circumfrence we use the following formula

[tex]r=\frac{C}{2*\pi }[/tex]

[tex]r=\frac{71}{2*3.14 }[/tex]

r = 11.3

Answer:4^6

Step-by-step explanation:

The number of times a term is multiplied is the exponent you use.

In this problem

4 is multiplied 6 times.

Therefore: 4*4*4*4*4*4=4^6

Answer:
The answer is C. [tex]y = \frac{1}{12}(x+2)^{2}+2[/tex]

          1134.11m²

______----------________

Answer:

1134.11

Step-by-step explanation:

The problem with this equation is pi is an angle in radians. It has a never ending number of digits.

The area of a circle is basically a square r x r rotated through 180 degrees around the squares centre.

So the area can be written as 180 x 19 x 19 = 64980 degrees meters square.

This is a finite number. The area of a circle does not change. Pi r squared has an ever increasing result.

pi is a conversion factor between the finite areas of circles and the area in square units which can never have a result that is finite as squares cannot fill a circle, no matter how small.

To convert the round finite area to m squared you divide the area by 180/pi = 57.295779513 degrees per radian.

Area in degrees meters Squared 64980/ 57.295779513.

= 1134.1149479 radian meters squared.

Answer:

66

Step-by-step explanation:

use

P- parenthesis

E- Exponents

M-multiplication

D-Division

A- addition

S- subtraction

NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.

This means that that we do it from left yo right

4×16+3-1 --> 64+3-1 --> 67-1 = 66

Answer:

I don't have a good knowledge of means but I know it isn't B or D.

Step-by-step explanation:

The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.

The equation for the expression is given below.

3x² + 4x = 6

3x² + 4x - 6 = 0

we know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Then we have

[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

arc UH = 67°

Step-by-step explanation:

the measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , then

[tex]\frac{1}{2}[/tex] ( BE + UH ) = ∠ BKE , that is

[tex]\frac{1}{2}[/tex] (119 + UH ) = 93° ( multiply both sides by 2 to clear the fraction )

119° + UH = 186° ( subtract 119° from both sides )

UH = 67°

Answer:

Step-by-step explanation:

∠HKU = ∠BKE   {Vertically opposite angles}

∠HKU = 93°

Angles fromed by insecting chords equals half the sum of intercepting arcs.

      [tex]\sf \angle HKU =\dfrac{1}{2}(arc \ HU + arc \ BE) \\\\ 93^ \circ = \dfrac{1}{2}(arc \ HU + 119)[/tex]

   93 *2 = arc HU + 119

   186    = arc HU + 119

186 - 119 = arc HU

arc HU = 67°

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

Answer:

the first one will be B) x^2-4x+4

the sencond one will be A) x^2-16

the third one will be C) x^2+x-2

the fourth one will be D) -2x^3+4x^2+16x

Step-by-step explanation:

hope this helps now i gotta really go :)

Answer:

9Pi  square units

Step-by-step explanation:

Area = Pi x Radius^2

Diameter = Circumference / Pi

                 = 6Pi / Pi

                 = 6

Radius = Diameter / 2

             = 6 / 2

             = 3

Area = Pi x 3^2

Hope this helps!!

Step-by-step explanation:

what is the problem for you ?

to solve an equation ?

or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?

if you need any additional information, please let me know.

I am just solving the equation now :

2/3 + x = 4

x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3

Answer:

Step-by-step explanation:

x = 4 - 2/3

x = 3 3/3 - 2/3

x = 3 1/3

Answer:

378 in^2

Step-by-step explanation:

This is the sum of the area of the 6 rectangles

That is:

8*15 + 3*15 + 3*8 + 8*15 + 3*8 + 3*15

= 378 in^2

Answer: 3.3

Step-by-step explanation: Find the calculation in the picture

Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

Answer: 50%

Step-by-step explanation:

Because 2 of four is half, that that the probability is a 50% chance.

Answer:

1/2

Step-by-step explanation:

Think of this like a pizza or pie:

If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.

Because this is a fraction and it can be simplified, it would be 1/2.

So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.

Answer: 9, 9x, 18x

Step-by-step explanation:

Hope it helps :D

Answer:

5%

Step-by-step explanation:

1/20 of 100% is 5%. So that means 5%

Answer:

16.4 feet

Step-by-step explanation:

Area of a rectangle: length * width = area

12*w=196.8

w=196.8/12

w=16.4 feet

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Function f(x) is defined by: f(x) = 12x.

Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]

This means that option 4 is correct.

More can be learned about domain and range of a function at https://brainly.com/question/27274752

The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.

We are told that;

Current cost of Green rug = $54.50

Current cost of White rug = $31.85

Now the store wants to mark down the green rug by 12%. Thus;

New price of green rug = (100% - 12%) × 54.5

New price of green rug = $47.96

Now the store wants to mark up the white rug by 16%. Thus;

New price of white rug = (100% + 16%) × 31.85

New price of green rug = $36.95

Difference in New prices = $47.96 - $36.95

Difference in New prices = $11.01

Read more about Mark up at; https://brainly.com/question/1153322

Answer:

The correct answer would be option 2; Regular Hexagon

Hope this helps!

Using proportions, it is found that she will need 12 pints of ice cream.

A proportion is a fraction of a total amount.

Each cup is equivalent to 0.5 pints. There are 24 students, and each student needs a cup, hence 24 cups are needed.

In pints, the equivalent amount is given by:

P = 24 x 0.5 = 12.

She will need 12 pints of ice cream.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

Let x = years

Let y = investment value

Use (2, 692) and (4, 952) to find a and b of the exponential equation:

[tex]ab^2=692[/tex]

[tex]ab^4=952[/tex]

[tex]\implies \dfrac{ab^4}{ab^2}=\dfrac{952}{692}[/tex]

[tex]\implies b^2=\dfrac{238}{173}[/tex]

[tex]\implies b=\sqrt{\dfrac{238}{173}}=1.17\:\textsf{(nearest hundredth)}[/tex]

[tex]\implies ab^2=a\left(\dfrac{238}{173}\right)=692[/tex]

[tex]\implies a=\left(\dfrac{59858}{119}\right)=503.01\:\textsf{(nearest hundredth)}[/tex]

Therefore, the exponential equation is:

[tex]y=503.01(1.17)^x[/tex]

18 years after the initial investment is when [tex]x=18[/tex]:

[tex]\implies 503.01(1.17)^{18}=8490[/tex]

Therefore, the amount closest to the value of the investment 18 years after the initial investment is $8490

(If you use the exact values for a and b rather than the rounded values, the amount is $8879)

Answer:

A

Step-by-step explanation:

A is the only one with (4,0) (1,-1) (0,0) and (-2,5)

Answer:

m = -1

the line goes down in a straight line from the starting point

Answer: -1

Step-by-step explanation:

Slope formula y2-y1/x2-x1. -9-(-4)/3-(-2). -5/5= -1