Find the first three terms of the sequence below.
Tn = 3n^2- 4n - 3

Answer:

a) 58

b) 38

c) 76

Step-by-step explanation:

a) Here we want to get the median

The median of the number is the 3rd line

The value here is 58

b) The interquartile range is the difference between the first and third quartile

The third quartile is the 4th line and its value is 72

The first quartile is the second line which is 34

The interquartile range is thus; Q3-Q1

= 72-34 = 38

c) The range is the difference between the highest and lowest values

The highest value is 86

The lowest value is 10

The range is thus;

86-10 = 76

Answer:

90(3) = m or 90 x 3 = m

Step-by-step explanation:

90 minutes per day for 3 days

Answer:

A THE LOCATION OF THE LIGHT BULB

I got this right on the assignment

Step-by-step explanation:

The centre of the hyperbola represent will represent the location of the light bulb.

The centre of a hyperbola is the midpoint of the line segment joining its foci. The transverse axis is the line segment that contains the centre of the hyperbola and whose endpoints are the two vertices of the hyperbola.

As we know that the centre of a hyperbola is the midpoint of the line segment joining its foci. Now, if we plot the hyperbola with equation

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

The hyperbola will look like the one given in the below image, further if draw two lines to know the centre of the hyperbola, we will find that the centre of the hyperbola will lie at coordinate (0,3).

Further, the centre of the hyperbola represents the light bulb while the hyperbolas will represent the shadow cast by the lampshade.

Hence, the centre of the hyperbola represent will represent the location of the light bulb.

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Answer:

Relationship is proportional ;

8 oranges

Step-by-step explanation:

Oranges (lb) 2 ___ 3 ____5 ___?

Price ($) __ 3 ___4.50___7.50_12

For proportionality :

Oranges = k * price

Where, k = constant of proportionality

2 = 3k

k = 2 /3

k = 0.666666

Using k :

Number of oranges at price = 4.50 should be:

0.66666 * 4.50 = 3

Number of oranges at price = 7.50 should be:

0.66666 * 7.50 = 5

Hence, relationship is proportional

Number of oranges at $12

0.66666 * 12 = 8

Answer:

Step-by-step explanation:

Since the equation of the line is y = 1/3x , or y = 0.33333333x , you multiply y, seltzer, by 3. You do this because x is 3 times the value of y.

Graphing the equation can be seen below

Answer:$21.2

Step-by-step explanation:

multiply 19.25*6.25 then divide by 100 then add that answer onto 19.25 to then get an estimate of 21.2 dollars

Answer:

What kind of problem?

Step-by-step explanation:

Answer:

#nickels = 50

#dimes = 100

Step-by-step explanation:

system of equations:

n + d = 150

.05n + .10d = 12.50

let n = '150 - d' and substitute this into the second equation

.05(150-d) + .10d = 12.5

7.5 - .05d + .10d = 12.5

.05d = 5

d = 5/.05

d = 100

n = 50

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

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Answer:-8x + 2

Step-by-step explanation:Subtract 3 from 5

Step-by-step explanation:

= (4+(7-5))^4

= (4+2)^4

= 6^4

= 6×6×6×6

= 1296

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Answer:

D. Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.

Step-by-step explanation:

did on edge 2021

The conclusive statement is:

Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.

Data are pieces of information that have been converted into a format that can be moved or processed quickly. Data is information that has been transformed into binary digital form for use with computers and other modern communication mediums.

We have,

43% of homes in the region have a swimming pool.

There are 36,248 homes in Sam's region of operation.

So, number of people have swimming pool at home are:

= 36, 428 x 0.43

= 15,586.64

Thus, Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.

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Answer:

ok!

Step-by-step explanation:

1: Your allowed to cry, your allowed to scream but you NEVER give UP!

2: Don't give up because great things take time:)

3: Don't give up it's only a way of failure!

I have so much more but my fingers might hurt but remember please dont ever give up you can do it!

Hope this helps !

Answer:

Suppose that we have a circle of radius R.

The total perimeter of this circle will be:

P = 2*pi*R

Where pi = 3.14159...

Now, if we have a section of this circle with an angle A, the "chord" of this section will be:

C = (A/360°)*2*pi*R.

Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.

In this particular case, the chord is equal to the radius of the circle, then we get:

C = R =  (A/360°)*2*pi*R

We need to solve this for A.

R =  (A/360°)*2*pi*R

We can divide both sides by R to get:

1 =   (A/360°)*2*pi

Now we need to isolate A.

(360°/2*pi) = A = 57.3°

This would be the angle in the minor arc.

And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)

The angle for the major arc is:

A = 360° - 57.3° = 302.7°

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Answer:

6 weeks and almost 4 days

(or 6.571 weeks)

Answer:

6 (simple) 6.57143 (real)

Step-by-step explanation:

The real answer is 6.57143.

I did the 6 for simple

Sorry if I didn't do the days.

Answer: The temperature on the fifth day is -14°C

Step-by-step explanation:

When we have a set of N elements, that can be written as:

{a₁, a₂, ..., aₙ}

The mean of these N elements is be written as:

Mₙ = (a₁ + a₂ + ... + aₙ)/N

Now, when we take in account the temperature for the first four days of January, we will have a set of 4 elements, {a₁, a₂, a₃, a₄}

Where each one of these elements represents the temperature of one particular day.

The mean temperature for the first four days will be:

M₄ = (a₁ + a₂ + a₃ + a₄)/4

And we know that this is equal to 4°C

Now we also could do the next replacement:

(a₁ + a₂ + a₃ + a₄) = T

Then we can write:

M₄ = -4°C =  (a₁ + a₂ + a₃ + a₄)/4 = T/4

Then we can solve:

-4°C = T/4

-4°C*4 = T

-16°C = T

This is the sum of the temperatures for the first four days of January.

Now we know that the mean for the first five days is -6°C

Then we have:

M₅ = (a₁ + a₂ + a₃ + a₄ + a₅)/5 = -6°C

Where a₅ is the temperature on the fifth day of January, which is the value we want to find.

And we know that:

a₁ + a₂ + a₃ + a₄ = -16°C

We can replace that in the equation to get:

(-16°C + a₅)/5 = -6°C

(-16°C + a₅) = 5*(-6°C) = -30°C

a₅ = -30°C + 16°C = -14°C

a₅ = -14°C

The temperature on the fifth day is -14°C

Answer:

x = 8

y = 8√3

Step-by-step explanation:

sin(30) = 1/2

cos(30) = √3/2

They are rule!!!

Answer:

a

Step-by-step explanation:

The equation equivalent to the given equation y-h=x-g/k is .x=k(y-h) +g. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is y-h=x-g/k. The equation will be solved as,

y-h = ( x-g ) / k

k( y-h ) = x - g

k( y-h ) + g = x

Therefore, the equation equivalent to the given equation y-h=x-g/k is .x=k(y-h) +g. The correct option is C.

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Answer: 5.9j-6

Step-by-step explanation:

Answer:

40 or 80%

Step-by-step explanation:

50 points / 2 points per questions = 25 questions

25 questions - 5 wrong answered questions = 20 right answered questions

20 right answered questions x 2 points each = 40 points in total

Answer:

x=21°

Step-by-step explanation:

64°=3x+1 --------- because vertically opposite angles are equal

63=3x

x= 63/3

x=21°

Answer:

138.2

Step-by-step explanation:

use the formula 2(pi)radius (height)+2(pi)radius squared

can u mark my answer the branliest pliz

Answer:

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

Step-by-step explanation:

Let [tex]3 + x = 11[/tex], we see that number of equation and variables are both the same and can be solved by algebraic means.

1) [tex]3 + x = 11[/tex] Given

2) [tex]x + 3 = 11[/tex] Commutative property

3) [tex]x + [3+(-3)] = 11 + (-3)[/tex] Compatibility with addition/Associative property

4) [tex]x = 8[/tex] Additive inverse/Modulative property/Definition of substraction/Result

The solution of the equation [tex]3 + x = 11[/tex] is [tex]x = 8[/tex].

Answer:

628 mm^3

Step-by-step explanation:

formula is (pi*height*radius^2)/3. plug in values, and the answer will be A. hoep it helps

Answer:

C

Step-by-step explanation:

V = pi x r^2 x h

V = 3.14 x 10^2 x 6

V = 1884 mm^3