For each of these sequences below: (a) describe the term-to-term rule (b) calculate the tenth term 4.1) 3 6 9 12 15 4.2) 5 11 17 23 29

Answers

Answer 1

Answer: The term to term rule is an Arithmetic progression for the two question. B) 1Oth term for the first is 30 and for the second series is 59

Step-by-step explanation:

4.1) 3 6 9 12 15

For the sequence above, we can see that the next term is gotten by addition  of 3 with the previous term and so It is an Arithmetic  progression.

Having in mind the nth term of an AP as  Tn = a + (n - 1)d.

where a is the first term =3

And d common difference =3(6-3,9-6,12-9)

10th term=

T10 = 3+ (10 - 1)3.

T10 = 3+ (9)3.

T10 = 3+ 27.

T10 =30

4.2) 5 11 17 23 29

For the sequence above, we can see that the next term is gotten by addition  of 6 with the previous term and so It is an Arithmetic  progression.

Having in mind the nth term of an AP as  Tn = a + (n - 1)d.

where a is the first term =5

And d common difference =6 (11-5, 17-11,23-17)

10th term=

T10 = 5+ (10 - 1)6.

T10 = 5+ (9)6.

T10 = 5+ 54.

T10 =59


Related Questions

what is an angle formed by

Answers

Answer:

An angles is formed by 2 rays sharing the same endpoint which is called the vertex.

Answer:

an angle is formed by two rays that intersect or share the same endpoint.

Find the geometric mean of 16 and 36. Write your answer in the simplest form.
Any obvious wrong answers will be reported.

Answers

Answer:

Step-by-step explanation:

Find the geometric mean of 16 and 36. Write your answer in the simplest form.

Any obvious wrong answers will be reported.

Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.

Answers

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

More help with cylinder math?

Answers

First you will need to find the lateral idea which is
2(15) (3.14) (4)
-multiply them together
Then you will need to find the base.
-3.14x15x4
Then find the surface area
-answer from lateral area and 2(-answer from base-)
Add that and that is ur answer

Answer:

[tex]V=706.5[/tex] [tex]ft^3[/tex]

Step-by-step explanation:

Since it's saying, "how much water does your neighbor need to completely fill his pool", it's asking for us to find the volume of the pool because the volume is the amount of space inside the pool which will be filled with water.

The volume formula for a cylinder: [tex]V=\pi r^2h[/tex]

In the text, since they gave the diameter and not the radius, we need to find the radius by dividing the diameter by two: [tex]\frac{15}{2}=7.5[/tex]

Now, we can start solving.

[tex]V=(3.14)(7.5^2)(4)[/tex]

[tex]V=(3.14)(56.25)(4)[/tex]

[tex]V=(3.14)(225)[/tex]

[tex]V=706.5[/tex]

Hope this helps

Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

A. (–1, 0); minimum

B. (0, –1); maximum

C. (0, –1); minimum

D. (–1, 0); maximum

Answers

Answer:

B. (0, –1); maximum

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , − 1 )

Focus:  

( 0 , − 5 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Use the formula  

x

=

b

2

a

to find the maximum and minimum.

( 0 , − 1 )

!!!!someone help please??????

Answers

Answer:

The image you provided doesnt work

Step-by-step explanation:

Answer:

The answer is 8, take away 8.25 from 210 and then divide it by 23

A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?

Answers

Answer:

3/5

Step-by-step explanation:

6 black marbles and 4 white marbles.= 10 marbles

P( black marble) = number of black marbles / total marbles

                            =6/10 = 3/5

Answer:

6/4 or 1 1/2

Step-by-step explanation:

because there is 6 black marbles and 4 white marbles

Find the optimized volume of a rectangular prism with a surface area of 864 m^2

Answers

7r =x+p6.25+3q


A

AB
ABC

( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Which statement describes why the system has two solutions?

Answers

The graph intersects on the x axis

Find the length of each arc

Answers

Answer:

27 pi/4 or 6 3/4 pi

Step-by-step explanation:

First find the circumference

C = 2*pi*r

C = 2 * pi *9

C = 18 pi

The find the fraction of the arc

A circle is 360 degree

135/360 =3/8

Multiply the circumference by the fraction

18 pi * 3/8 =

27 pi/4

6 3/4 pi

Please help will give branliest

Answers

Answer:

ok

8^7*512/262144=4096

8^4=4096

?=4

Your Welcome

BIFFY OUT!!!

Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.

-1
-3
-4
-12

Answers

Answer:  D) 12

===========================

Work Shown:

3 cups = 1/4 tank

4*(3 cups) = 4*(1/4 tank)

12 cups = 1 tank

The person above is perfectly right! Your answer IS 12.

Have a nice day :DD

Can some please help I don’t really know.

Answers

Answer: 1%

Step-by-step explanation:

On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Answers

Answer:

(3,-3)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)

Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)

Hence the required coordinate will be (3,-3)

Answer:

b 3 -3

Step-by-step explanation:

have a good day

Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?

Answers

Answer:

.........................

Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?

Answers

Answer:

Maria earns 100 dollars

E=100

Step-by-step explanation:

if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100

E=100

Answer:

100

Step-by-step explanation:

The equation is E=20h

E is the amount she earns.

20 is the amount of money she earns per hour.

h is the amount of hours she worked.

She worked 5 hours. h represents hours so plug in 5 where h is in the equation.

E=20h

E=20(5)

E= 20×5

E=100

Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8

Answers

Answer:

r = 4

a8 = 114,688

Step-by-step explanation:

a1=7

a11 = 7340032

a11 = a1*r^10

7340032 = 7 * r^10

7340032 = 7r^10

r^10 = 7340032/7

r^10 = 1,048,576

Find the 10th root of both sides

10√r^10 = 10√1,048,576

r = 4

a8 = a1 * r^7

= 7 * 4^7

= 7 * 16,384

= 114,688

a8 = 114,688

What would be the volume of the pyramid? Little help please

Answers

Answer:

36

Step-by-step explanation:

The answer is 36, I did the work

what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?

Answers

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

769 ÷ 30 in standard algorithm
plz i need asap

Answers

Answer:

it equal 25 and the remainder is 19. :)

Answer:

Step-by-step explanation:

exact form

769/30

decimal form

25.63

mixed number formed

25 19/30

which equations results from adding the equations in this system?
x+6y=9
-x+2y=-15

Answers

Answer:

8y = -6

Step-by-step explanation:

Simply add the equations as you would numbers.

The 'x's cancel each other out. The 'y's add together as normal numbers.

9 + (-15) = -6

Hope that this helps!

Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Answers

Answer: [tex]4.016\ hr[/tex]

Step-by-step explanation:

Given

Train A has speed of [tex]v_a=75\ mph[/tex]

Train B has speed of [tex]v_b=50\ mph[/tex]

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]

So, after [tex]4.016\ hr[/tex] they will pass each other.

4^2-2 X 3 + 6 = ?
SOLVE with PEMDAS

my son has had problems with algebra and tbh I don't know how to do it either i was hoping someone on here can help!

Answers

4^2 -2×3+6=16 is your answer

Answer:

Step-by-step explanation:

P means parenthesis, of which we have none. So we move to E, which is exponents, which we do have. So we start there:

[tex]4^2-2*3+6[/tex] becomes

16 - 2 * 3 + 6. Now we have to do multiplication/division in the order we come to it in the problem. That means multiplying 2*4 first:

16 - 6 + 6. Now we do addition/subtraction in the order we come to it in the problem:

16- 6 + 6 = 10 + 6 = 16

The probability of winning a game is 0.37, and a tie is not possible. The probability of losing the game is
A. 0.37
B. 0.50
C. 0.63
D. unable to be determined
Help me plssss

Answers

Answer:

C

Step-by-step explanation:

Because there are only two outcomes (winning or losing) this means that

P(winning)+P(losing)=1

if we knowing that P(winning)=.37 we can write

.37+P(losing)=1

1-.37=P(losing)

.63=P(losing)

a pack of ice cream bars costs $5.11. What is the unit price?

Answers

Answer:

how much is in each pack?

Step-by-step explanation:

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

I need help with this

Answers

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate

Answers

Answer:

Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2

so the radius times radius times 3.14

Area of prallelogram

Answers

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9

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