Give the explicit form

Give The Explicit Form

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 100n - 112

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12

This tells us that any term is found by adding 100 to the previous term

That is common difference d = 100 and a₁ = - 12

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus

[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112

Answer 2

Answer:

100 = 100n - 112

Step-by-step explanation:


Related Questions

Apply the 30-60-90 triangle theorem to find the length of the shorter leg , a, and the longer leg, b, if the length of the hypotenuse, c, is 14 inches.

A= b=

7
12
10
11
8
9

Answers

Answer:

A=7 B=12

Step-by-step explanation:

GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Pls answer ASAP .

Answers

Answer:

1/20!

Step-by-step explanation:

This is a probability question.

There are 5 types of pasta and there are 4 types of flavors.

So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4

To get both, you need to multiply the types of pasta and flavor

1/20

Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited double what each sister has inherited. How many (Square miles) of land mom has inherited?

Answers

Answer:

1875 square miles

Step-by-step explanation:

There are a total of 10 women and 3 men. Let's define two variables:

w: land inherited by a womanm: land inherited by a man

Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

2*w = m

10*w + 3*m = 30000

Replacing the first equation into the second one, and solving for w:

10*w + 3*2*w = 30000

16*w = 30000

w = 30000/16

w = 1875 square miles

Your mom, and all of her sisters, inherited 1875 square miles each

Consider the diagram.

Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.

The congruence theorem that can be used to prove △MNP ≅ △ABC is

SSS.
ASA.
SAS.
AAS.

Answers

Answer:

The answer is SAS. ( Option C )

Step-by-step explanation:

S A S congruence theorem is used to prove △MNP ≅ △ABC.

Given MNP and ABC are connect between points B and M.

In △MNP and △ABC

Side PN = Side BC (given)

angle PNM = angle ABC (given)

Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)

So, by Side Angle Side Congruence rule  △MNP ≅ △ABC.

Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.

For more details on congruence theorem follow the link:

https://brainly.com/question/19258025

1. f(x) = x(x-6)(x+3)

Answers

Answer:

x3squared-3x2squared-18x

Step-by-step explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

​2

​​ −6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

​3

​​ +3x

​2

​​ −6x

​2

​​ −18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

​3

​​ +(3x

​2

​​ −6x

​2

​​ )−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

​3

​​ −3x

​2

​​ −18x

WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP



You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.

Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm

Use property of proportions
show all work

Answers

Answer:

$47,520

Step-by-step explanation:

A.

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

C.

60*100= 6,000

6,000 * $7.95=

$47,520

Please hurry
What is the slope of a line that is perpendicular to the graph of
y = 5/3x +8

Answers

Answer:

-3/5

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

1/(5/3) * - 1 =  -3/5

The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.

What is the Equation of line in Slope Intercept form?

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given a line,

y = 5/3 x + 8

Comparing with the slope intercept form,

Slope of the given line = 5/3

Any line perpendicular to the given line has a slope which is the negative reciprocal.

Slope of the perpendicular line = -3/5

Hence the required slope is -3/5.

Learn more about Slope here :

https://brainly.com/question/29146348

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814 g O 8.14 kg

compare! PLS HELP BEST GETS BRAINLESST AND FOLLOW​

Answers

Wouldn’t the answer be just equal because 1,000kg = 1 gram so
The left is 10x bigger than the right.
814g is equal to 0.814kg (which is 814 divided by 1000) and 0.814kg times 10 is 8.14kg.

How many square feet of outdoor carpet will we need for this whole?

Answers

Answer:

44 ft^2

Step-by-step explanation:

Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:

(12 ft)(4 ft) - (2 ft)(2 ft) =

  48 ft^2   -    4 ft^2

             44 ft^2 (answer)

Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1). How many units is the perimeter of parallelogram EFGH?

Answers

Answer:

the answer wold be 10.129

Step-by-step explanation:

Perimeter of the parallelogram EFGH is 11.76 units

What is Perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

What is Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Given,

The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)

We know that,

In parallelogram EF=HG and EH=FG

Perimeter of the Parallelogram = 2(a + b)

Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]

a =1.41 units

Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]

b =4.47 units

Perimeter of the Parallelogram = 2(a + b)

=2(1.41+4.47)

=11.76 units

Hence,  the Perimeter of the Parallelogram EFGH is 11.76 units

Learn more about Perimeter and Parallelogram here

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Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph show all the distances, in kilometers, that Yolanda could have waled on Sunday to reach her goal?

Answers

Answer:

Step-by-step explanation:

C

Please help me I don’t understand

Answers

Answer:

B

Step-by-step explanation:

LIST ALL THE NUMBER IN THE BOX PLOT

hope this helps:)

B.
I hope this helped!!

what us the length of AC?​

Answers

You can make the equation 12x=156-x
Then from there it become 13x=156
So x=12

Please Answer!!! Will give 30 points!!! And brainliest when I can

Answers

The value of X is 3

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

B. 3

Step-by-step explanation:

→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:

[tex]\frac{2x-3}{-x+4} =3[/tex]

2x - 3 = 3(-x + 4)

→Distribute the 3 to (-x + 4):

2x - 3 = -3x + 12

→Add 3x to both sides:

5x - 3 = 12

→Add 3 to both sides:

5x = 15

→Divide both sides by 5:

x = 3

someone plz help!!! calculus, I have a picture below

Answers

Answer:

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Step-by-step explanation:

The following expression:

[tex] 3y^{-3/5} [/tex]

can be simplified as follows:

First, rewrite the negative exponent,

[tex] 3\frac{1}{y^{3/5}} [/tex]

[tex] \frac{3}{y^{3/5}} [/tex]

And then, rewrite the fraction in the exponent,

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

What is the measure of BPU?
os
60
P
40
.
O A. 100
O B. 40
O C. 80°
O D. 60°

Answers

Answer:

80°

Step-by-step explanation:

SPO+OPA+APC= 180°

(Angles on a straight line sum up to 180)

60+OPA+40=180

OPA=180-100

=80°

So, BPU is also 80°

(Vertically opposite angles are always equal)

Answer:

80⁰

Step-by-step explanation:

SPU = CPR = 40⁰ ( vertically opposite)

BPU + 40 + 60 = 180⁰ (straight line angle)

BPU = 180 - 100

BPU = 80⁰

I don’t understand
I'm stupid, I don't understand mathematics :(

Answers

(1,-2) Don’t really know how I can explain it to you but this is the answer...

The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?

Answers

Answer:the third one shows parallel lines cut by a transversal

Step-by-step explanation:

Answer:

B. m Angle A + 60° + 55° = 180°

Step-by-step explanation:

POGGERS

The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?

Answers

Answer:

17

Step-by-step explanation:

Use the Pythogream theorm where c is the hypotenuse.

Answer:

17

Step-by-step explanation:

Using the Pythagory and Theroem

need help with B only
please help I will mark brainliest
A is 375mm

Answers

Answer:

7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)

Step-by-step explanation:

if the upper bound varies from the median by 5, I guess that the lower also varies by 5

thus, 365 * 19.3

7044.5 mm

Please don't be angry on me if I'm wrong, I apologize beforehand

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + y = 10
y= x-5
O A. (9,-8)
O B. (7,2)
O C. (8,-6)
D. (5,0)

Answers

Step-by-step explanation:

Putting value of y

2x + x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = 15/3 = 5

Putting value of x

Y = x - 5

Y = 5 - 5

Y = 0

Option D is the correct answer

The answer i guess is D

The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below.
(10,390)
(8.350)
Distance Traveled (miles)
(6.230)
(4.180)
(2,110)
(1.40)
Elapsed Time (hours)
During which interval was their average speed the greatest?
A. the first hour to the second hour
B. the second hour to the fourth hour
C. the sixth hour to the eighth hour
ОО
D. the eighth hour to the tenth hour


I’m not sure if it’s C could someone help

Answers

Answer:

swer:

Step-by-step explanation:

Here is the breakdown of the distance traveled each hour.

Hour 1: 40

Hour 2: 50

Hour 4: 70

Hour 6: 50

Hour 8: 120

Hour 10: 40

Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).

Hope this helps!

Step-by-step explanation:

Help Me Plz A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, seven vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 7,168 7,161 3,584 3,577

Answers

Answer:

7161

Step-by-step explanation:

Now we need to find the sum for a series

The formula is

Sn =   (first term)*(1 - r^n)/(1-r)  where n is the number of days and r is the rate

     = 7( 1 -2^10)/ (1-2)

     = 7( -1023)/-1

     = 7161

Answer:

7161

Step-by-step explanation:

I took the test :)

A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down the slide

Answers

Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

Answer:

4ft would be the answer to your question.

does anyone know the answer to this ?

Answers

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

Which type of reasoning allows you to use observation to find the next three values in the number pattern 1,4,7,10.....?

Answers

Answer:

The next number in the pattern is 13.

Step-by-step explanation:

From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13

answer pls!! thank u

Answers

Answer: See below

Step-by-step explanation:

A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.

A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.

An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.

Probability With a Pair of Dice Find the probability of rolling multiples of 2 on both dice.

Answers

Answer:

1/2

Step-by-step explanation:

There are 6 sides on the dice. 3 of them are multiples of 2. 3/6=1/2.

Could you please help me with this I will give brainliast!!!!!! please I'll do anything!!!!!
Jeff read 3/8 (three-eighths) of a chapter of his history book in 20 minutes. At this rate, how many chapters of his history book can he read in 1.5 hours? Explain how he got 27/16?

Answers

Answer:

27/16 chapters completed in 1.5 hours

Step-by-step explanation:

Jeff read 3/8 part in minutes = 20

He read complete chapter in minutes =[tex]\frac{20}{\frac{3}{8}}=\frac{20}{3} \times 8 = \frac{160}{3} minutes[/tex]

60 minutes = 1 hour

[tex]\frac{160}{3} minutes = \frac{160}{3} \times \frac{1}{60}=\frac{8}{9} hours[/tex]

So, No. of chapters completed in[tex]\frac{8}{9}[/tex] hours = 1

No. of chapters completed in 1.5 hours = [tex]\frac{1}{\frac{8}{9}} \times 1.5=\frac{27}{16}[/tex]

So, 27/16 chapters completed in 1.5 hours

Which of the following events will have an UNLIKELY chance of occurring?

A)rolling a 7 on a standard number cube labeled 1 - 6)
B)rolling a number less than 3 on a standard number cube labeled 1 - 6)
C)picking a vowel from the word ANTEATER)
D)picking a blue marble from a bag consisting of 8 blue, 2 red, and 1 white)
E)rolling an even or odd number on a standard number cube labeled 1 - 6)

Answers

Your answer would be E ! Hope this helps :)

Answer:

A

Step-by-step explanation:

Since there is no 7 on a standard number cube 1-6, there is no chance that the event can occur. Thus, A the correct answer.

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