the sum of a group of numbers is the same regardless of the order in which the numbers are arranged​

Answer:

[tex]T_n = 3T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]T_1 = 8[/tex] -- First term

[tex]r = 3[/tex] --- rate

Required

Determine the recursive term

We have:

[tex]T_1 = 8[/tex]

The second term to the nth term is:

[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]

[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]

[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]

Using the above yardstick:

[tex]T_n = T_{n-1} * 3[/tex]

[tex]T_n = 3T_{n-1}[/tex]

Answer:

4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.

On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.

Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.

Thus, the recursive function is

f(1) = 8

f(n) = 3 f(n-1) if n > 1.

Option D is the correct answer.

Step-by-step explanation:

Answer:

[tex]\displaystyle 40[/tex]

Step-by-step explanation:

This is an isosceles triangle, therefore you must double up DA to get 40.

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Answer:

Area of circle-area of square= blue region area

A= pi r^2

=pi  x 8.5^2

=226.980069222 or 227

A=  l^2

= 12^2

= 144

227-144= 83

Area of blue is 83 cm^2

Answer:

A: For every 4 votes Mary received, Brittany received 3 votes.

Step-by-step explanation:

Answer: 8044

Step-by-step explanation:

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food

2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion

3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.

Answer:

5,290 repersent the distence that the jaquar jumped . and ran.

Step-by-step explanation:

pleas mark brainist plz happy to help

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.

Answer:

Its A

Step-by-step explanation:

y intercept equal 2 so it must intersect at 2 on the y axis and it must go down because its a negative function

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

y=x+3

hope this helps!

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Step-by-step explanation:

Given

Principle P = $60

Rate r = 5% = 5/100 = 0.05

Time period t = 12 years

To determine

New Balance A = ?

Using the formula

A = P(1 + rt)

A = 60(1+(0.05×12))

A = $96.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

The sum of magnitude of two vectors is 2√5.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

the magnitude of two vectors are 4 and 2.

and, The direction of two vectors are 45° and 135°.

According to vector addition,

The angle between both the vectors = 135 - 45 = 90

and, Sum of Vector

= √4² + 2²

= √16 + 4

= √20

Thus, the sum of magnitude of two vectors is 2√5.

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Answer:

see explanation

Step-by-step explanation:

If ∠ D ≡ ∠ CED then CD ≡ CE

The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.

Here we are using the converse of base angle theorem (b)

That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.

Answer:

Step-by-step explanation:

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.

Answer:

I think C but then again I could be wrong.

9514 1404 393

Answer:

Step-by-step explanation:

Variables are defined in the problem statement.

  x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

  14x +12y ≤ 420 . . . . sales were at most $420

Answer:

Step-by-step explanation:

1/6 x 1/5 + 1/30

= 1/30 + 1/30

= 2/30

=1/15

Answer:

Initial value = 4

Growth factor = 1.6

Step-by-step explanation:

Function representing the exponential growth is given by,

f(x) = Initial value(1 + growth rate)ˣ

Here x = time or duration for growth

(1 + growth rate) = Growth factor

Given function is,

f(x) = 4(1.6)ˣ

By comparing both the functions,

Initial value = 4

Growth factor = 1.6

Answer:

-61.904761904761905

Step-by-step explanation:

Math is how I got my answer.

Answer:

35+14=7(5+2) , so you have the alternative way of computing the sum.

49=7(7)

Answer:

35+14=7(5+2)

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

Answer:

○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]

Step-by-step explanation:

The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.

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Answer:

B. -2x + 5

Step-by-step explanation:

First, distribute the 3 and 2 to the parentheses:

3(2x + 1) - 2(4x - 1)

6x + 3 - 8x + 2

Add like terms:

-2x + 5

So, the simplified expression is -2x + 5

B is the correct answer

Answer:

it is B

Step-by-step explanation:

3*2x=6x

2*4x=8x

1*3=3

1*2=2

6x-8x= -2x

3+2=5

i got the +2 because there are two negative signs and that makes it positive

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

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Answer:

A. 12.51

Step-by-step explanation:

I had it on a test.