Identify the expressions for which limits exist.

Answer:

3/ 8

Step-by-step explanation:

All possible outcomes are:

HHH TTT HTT THT TTH HHT HTH THH

PROBABLITY of getting exactly one head = 3/ 8

hope it helps!

Answer:

N=100

Step-by step explanation

Count how many times the decimal gets moved to the right in this case it moved to the hundredths place therefore the answer is 100

Answer:

what are you even doing with all them balls

Step-by-step explanation:

Answer:

48 ft

Step-by-step explanation:

perimeter of rectangular garden=2(l+b)

=2(4+2) = 12ft

for such 4 gardens = 12×4

=48ft of fencing needed

Answer:

length of rectangular garden =4feet

width =2feet

perimeter of rectangular garden=2(l+b)

=2(4+2)

=2*6

=12

total fencing needs for 4 rectangular gardens=

=12*4= 48feet

Step-by-step explanation:

hope my answer is helpful to you

Answer:

f(0.6) = 0.92

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2 - 3x²

f(0.6) is x = 0.6

Step 2: Evaluate

Answer:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Step-by-step explanation:

The standard, factored polynomial function is given by:

[tex]f(x)=a(x-p)^n(x-q)^m...[/tex]

Where a is the leading coefficient,

p and q are factors,

And n and m are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

[tex](x-(-2))=(x+2)\\[/tex]

It is has a multiplicity of 2, it is squared. So:

[tex](x+2)^2[/tex]

We have another root with multiplicity of 1 at x=6.

So, our factor is:

[tex](x-6)[/tex]

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

[tex](x-2)[/tex]

Therefore, our entire function is:

[tex]f(x)=a(x+2)^2(x-6)(x-2)[/tex]

We still have to determine our leading coefficient, a.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

[tex]10=a(0+2)^2(0-6)(0-2)[/tex]

Evaluate:

[tex]10=a(4)(-6)(-2)[/tex]

Multiply:

[tex]10=48a[/tex]

Therefore:

[tex]\displaystyle a=\frac{10}{48}=\frac{5}{24}[/tex]

Therefore, our final function is:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Answer:

The ceiling is lower than 3 meters.

Step-by-step explanation:

In the above, the product is less than 3. In this case, it will not include 3 as a choice, as if it would, the [tex]\leq[/tex] would be used.

This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.

~

Answer:

B. Gift

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

A gift tax can be defined as a type of tax that is imposed or levied on property or money that is being transferred (given) as a gift from one person to another. Thus, in this type of scenario, there are no financial incentives or compensation for this items being gifted.

Basically, the annual gift tax exemption or exclusion for this year is $15,000 per recipient.

Hence, when an item worth more than 15,000 is given to someone, this tax is called gift tax.

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

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)

200 + 10 + 7 + .09

This is because the expanded form is the number seperated.

Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

[tex] a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2[/tex]

Step-by-step explanation:

[tex]by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\ [/tex]

Answer:

The coordinate of the point is (8,-5,-1).

Step-by-step explanation:

Given that the point is located 8 units in front of the yz-plane, 5 units to the left of the xz-plane, and 1 unit below the xy-plane.

According to the convention to the coordinate axis, the front of the yz-plane is the positive x-axis, right of xz-plane is the positive y-axis, and above of xy-plane is the positive z-axis.

As the point is located 8 units in front of the yz-plane, so x=8.

As the point is located 5 units to the left of the xz-plane, so y= -5.

As the point is located 1 unit below the xy-plane, so z= -1.

Hence, the coordinate of the point, (x,y,z)=(8,-5,-1).

Answer:

1 4/5

Step-by-step explanation:

Answer:

By writing as a fraction, I am taking you mean to SIMPLIFY IT.

Step-by-step explanation:

As a fraction, 56/90 is 28/45

The number that divides 56 and 90 exactly is 2

56/2=28

90/2=45

So therefore, the answer is 28/45

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

Answer:yes

Step-by-step explanation:

Answer: 15

Step-by-step explanation: 75 divided by 5 = 15

Hope this helps!

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]

According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-

[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]

And here radius is 20 in.

[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]

Answer:

33493.34

Step-by-step explanation:

r=20

volume of sphere= 4/3×πr^3

= 4/3×3.14×20^3

= 33493.34

or

r=20

volume of sphere= 4/3×πr^3

= 4/3×22/7×20^3

= 33523.80952

Answer:

0.0635 ; 0.1093

Step-by-step explanation:

Given that :

Mean (m) = 181

Standard deviation (s) = 7.3

Height = x

a) The probability that the person is between 160 and 170 centimeters

160 < x < 170

P(x < 160) - P(x< 170)

Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3

Z = - 1.51 ; Z = - 2.88

P(Z < - 1.51) - P(Z < - 2.88)

0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).

0.0655 - 0.0020 = 0.0635

b) The probability that the person is higher than 190 centimeter

P(x > 190)

Zscore = (x - m) / s

Zscore = (190 - 181) / 7.3

Zscore = 1.23

P(Z > 1.23) = 1 - P(Z < 1.23)

P(Z > 1.23) = 1 - 0.8907

P(Z > 1.23) = 0.1093

Answer:

4.

y= 2/3x + 3

Step-by-step explanation:

By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.

Answer:

n = 4

Step-by-step explanation:

Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)

a1 = -70

d = -10

an = -100

Do all of the steps and plug all the numbers with the formula.

So -100 = -70 - 10(n - 1)

-100 = -70 - 10n + 10

-100 = -60 - 10n

-100 + 60 = -40

-40 = -10n

-40/-10n = -10n/10

n = 4

So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!