please read and answer the following:

Answer:

The general term of the sequence is given by

T

n

=

a

n

2

+

b

n

+

c

The general term of the sequence is given by

T

n

=

a

n

2

+

b

n

+

c

Calculate a,b and c

Determine the 12th term of the sequence.

grade12 general-term sequence series

Share your questions and answers with your friends.

answer comment

1 Answer

0

0

T3 - 6=6

T3=12

then T2-T1=4

6-T1=4

T1=2

T4-T3=8

T4-12=8

T4=20

Therefore terms= 2,6,12,20

1st difference= 4,6,8

2nd difference= 2,2,....

2a=2

a=1

3a+b=4

3(1) + b=4

b= 1

a+b+c= 2

c= 2-1- 1= 0

giving Tn= n^2 + n

T12 = 12^2 + 12 = 156

Answer:22.25 oz

Step-by-step explanation:

1 batch of cookies = 8.9 oz

2.5 batches of cookies = x oz

cross multiply

1x=8.9(2.5)

x=22.25 oz

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Answer:

not congruent

Step-by-step explanation:

congruent is just a fancy way of saying the same in geometry. so to check if its congruent, see if all side lengths correspond to another side length on the other triangle. they do not, so they can't be congruent

hope this helped :)

Answer:

  5 17/18

Step-by-step explanation:

Your calculator can help with this.

__

The integer parts of the mixed numbers can be dealt with separately. The fractional parts are added and subtracted using a common denominator. Here, that denominator is the least common multiple (LCM) of 2, 3, and 9, so is 18.

  ((7 2/3) -(4 8/9)) +((5 2/3)) -(2 1/2))

  = (7 2/3) +(5 2/3) -((4 8/9) +(2 1/2))

  = 12 4/3 -(6 +8/9 +1/2)

  = 13 6/18 -(6 +16/18 +9/18)

  = 13 6/18 -(6 +25/18) = 13 6/18 -(7 7/18)

  = (13 -7) +(6/18 -7/18)

  = 6 -1/18

  = 5 17/18

__

Additional comment

Doing the math in the manner shown above means you can mostly do it without a calculator. If you like, you can convert all of the numbers to improper fractions, then add those. This often requires a calculator.

  = (138/18 -88/18) +(102/18 -45/18)

  = 50/18 +57/18

  = 107/18 = 5 17/18

Answer:

[6

-1.5]

the six and 1.5 are in the same bracket the 6 in ontop

Answer:

a₄ = 50

Step-by-step explanation:

work back from the seventh term a₇ using the reverse of the term to term rule , that is

divide by 2 then subtract 3

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

Answer:

[tex]a_{4}=50[/tex]

Step-by-step explanation:

[tex]a_{4} = 50[/tex]

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

Answer:

  20 inches

Step-by-step explanation:

The base, height, and area of a triangle are related by the formula ...

  A = 1/2bh

If you know two of these, you can use this formula to find the third.

  440 in² = 1/2b(44 in)

  (440 in²)/(22 in) = b = 20 in . . . . . . divide by the coefficient of b

The length of the base is 20 inches.

B is true

Step-by-step explanation:

because no number with them to lines can be a negative

Answer:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Step-by-step explanation:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Answer:

a) the linear scale factor = 5/3

b) the volume scale factor = 125/27

c) 70.2 cm³

Step-by-step explanation:

r₁ = 15 cm, r₂ = 25 cm

r₂/r₁ = 25/15 = 5/3

They are similar, so h₂/h₁ = 5/3

a) the linear scale factor = 5/3

b) the volume scale factor = (5/3)³ = 125/27

c) V₂/V₁ = 125/27

Given V₂ = 325 cm³, V₁ = 325*27/125 = 70.2 cm³

Answer:

Step-by-step explanation:

Answer:

y-5=3/4(x-6)

Step-by-step explanation:

The picture you posted is a bit unclear and difficult to look at, but that's alright.

This is a simple question if you understand that the point slope for equation is: y-y1 = m(x-x1).

m is the slope and (x1,y1) is a point on the graph.

So, if you input the point (6,5) on the graph, it works.

You can double check with the other equations to see that they are all wrong!

Answer:

yes I know how to to multiple variables.

Answer:

5,90

Step-by-step explanation:

got it correct :)

The second solution for the system of equations is (5, 90).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given the system of equations,

y - 10 = 11x + x² and

y - 12x = 30

Consider second equation.

y - 12x = 30

⇒ y = 30 + 12x

Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,

(30 + 12x) - 10 = 11x + x²

12x + 20 = 11x + x²

12x - 11x - x² + 20 = 0

-x² + x + 20 = 0

x² - x - 20 = 0

Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9

x = (1 + 9)/2 and x = (1 - 9) / 2

x = 5 and x = -4

The solution x = -4 and y = -18 is given.

Other solution is,

x = 5

y = 30 + 12x = 30 + 60 = 90

Hence the second solution is (5, 90).

Learn more about Linear Equations here :

https://brainly.com/question/19770987

#SPJ2

Answer:

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so:

[tex]112=y-9 \longrightarrow y=121[/tex]

and adjacent angles are supplementary, so:

[tex]112+x+1=112+z+3=180 \longrightarrow x=67, z=65[/tex]

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle Elijah makes with the ground, hence:

tanФ = 1.45/0.8

Ф = 61.11°

The angle of elevation to the building is 61.11°. Let h represent the height of the building.

tan(61.11°) = h/8.25

h = 14.95

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

If the mass of one electron is 9.11 x 10-28 g, and you are looking for the mass of a mole of electrons, you need to understand Avogadro's number.  One mole is 6.02 x 1023 particles.  So you will have to multiply (6.02 x 1023) x (9.11 x 10-28 g) to get your answer of  5.48 x 10-4 grams (answer rounded to significant figures)

Step-by-step explanation:

1.2 x 10¹ times  greater is the mass of a carbon-12 atom than the mass of a neutron

A division is a process of splitting a specific amount into equal parts.

To find the ratio of the mass of a carbon-12 atom to the mass of a neutron, we can divide the mass of carbon-12 by the mass of a neutron:

(1.99×10⁻²³ grams) / (1.68×10⁻²⁴ grams)

= 11.8 grams

This means the mass of a carbon-12 atom is 11.8 times greater than the mass of a neutron. Written in standard notation and rounded to the nearest tenth, the answer is 1.2 x 10¹

Hence, 1.2 x 10¹ times  greater is the mass of a carbon-12 atom than the mass of a neutron

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

Answer:

√2 + √6 / 4

Step-by-step explanation:

We know cos(-θ) = cosθ.

Therefore, cos(-15°) = cos15°.

cos15° = cos(45 - 30)

Answer:

570.87

Step-by-step explanation:

Answer:

Step-by-step explanation:

8y8yy89y99u98u89y7t8y7i6u7i9jo

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

[tex]\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}[/tex]

[tex]\sf \rightarrow 0.088[/tex]

[tex]\sf \rightarrow 0.09[/tex]

Answer:

[tex]A.\: 0.09[/tex]

Step-by-step explanation:

Rate of Change is: [tex]\frac{y{_1-y{_2} } }{x_2-x_1}[/tex]

[tex]\frac{log(4)-log (6)}{4-6}[/tex]

[tex]0.088[/tex]

[tex]0.09[/tex]

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

Answer:

a -(-6x)

b variay term

c-(-6)

d no answer

Answer:

D Because

Step-by-step explanation:

1/2 +1/2 is 1 so 1+1+3+4 is 9

HOPE THIS HELP! :)

Given:

The difference between 7 and the sum of 1.0006 and 4.06.

To find:

The mathematical expression for given statement and it value.

Solution:

Sum of 1.0006 and 4.06 = [tex](1.0006+4.06)[/tex]

The expression for the difference between 7 and the sum of 1.0006 and 4.06 is

[tex]7-(1.0006+4.06)[/tex]

On simplification, we get

[tex]7-(1.0006+4.06)=7-5.0606[/tex]

[tex]7-(1.0006+4.06)=1.9394[/tex]

Therefore, the difference between 7 and the sum of 1.0006 and 4.06 is 1.9394.

Using it's concept, it is found that the domain of the function regarding the speed of the tidal wave is explained by:

[0, 4]: relating to the time of the tidal wave from it's origin in hours, restricted by the inability for the speed to be lees than zero.

It is the set that contains all possible input values for the function. In a graph, it is given by the x-values, that is, the horizontal axis values.

In this graph, the horizontal axis assumes values between 0 and 4, which is the time after the wave, and considering that the wave cannot be less than zero. Hence, the correct option is:

[0, 4]: relating to the time of the tidal wave from it's origin in hours, restricted by the inability for the speed to be lees than zero.

More can be learned about the domain of a function at https://brainly.com/question/25897115

Answer:

Pentahedron

Step-by-step explanation:

A triangular prism with 5 faces is called Pentahedron.

It has 5 faces,  6 vertices and 9 edges.

5 faces -  Two are triangular faces and three are rectangular faces.

Answer:

its has 5 faces

Step-by-step explanation: