7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
​

Answer:

P(A and B) = 0.1344 = 13.44%

Step-by-step explanation:

If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.

It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21

P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%

Answer:  (-2,3)

Explanation:

Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.

Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)

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

Explanation:

Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.

Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)

See diagram below. Point A is the initial point, B is the second step, and C is the final destination.

-----------

Another way to write out the steps is to use the transformation rule below

[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]

Answer:

(-3,-2)

Step-by-step explanation:

Rewrite first equation in slope-intercept form ( y = mx + b)

2x -y + 4 = 0

-y = -2x - 4

y = 2x + 4

Now rewrite second equation in slope intercept form

y = -x -5

Graph both equations on a calculator and you see that they intersect at (-3,-2)

Answer:

It is non function

Step-by-step explanation:

because the x values repeated, the input ( x values) produce more than one output.

This is not a function because for a value of x the value of the y comes out to be two.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The set of ordered pairs are as given below.

{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}

The relation to be a function for each value of the x the value of the y should be unique.

This is not a function because for a value of x the value of the y comes out to be two.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

No

Step-by-step explanation:

y=7x

4=7(1)

4=7

This is not a true statement.

Answer:

$178,000

Step-by-step explanation:

The calculation of X and Y is shown below:-

Before that we need to do the following calculations

[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]

[tex]= 0.45\times\$400,000[/tex]

= $180,000

[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]

[tex]= 0.06\times\$400,000[/tex]

= $24,000

Now, Operating cash flow of X in Year 1

[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]

= $38,000 + $90,000

= $128,000

and Operating cash flow of Y in Year 4

[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]

= $38,000 + $12,000

= $50,000

[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]

= $128,000 + $50,000

= $178,000

hence, the X + Y is $178,000

Answer: x = 2

5x - 2 = 10 - x

Add x to both sides.

6x - 2 = 10

Add 2 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

5x + x = 10 + 2

6x = 12

x = 12/6

x = 2

Answer:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

Step-by-step explanation:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

The converse is interchanging what is given and what is proven.

Answer:

side lengths;a2 + b2 = c2;triangle abc is a right angle

explanation=  when you  add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2

thats the answer mate hope it helps

     [tex]\sum\limits_{i=3}^{10}\big i^2[/tex]

or:

     [tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    [tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]

The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]

The sum is given as;

3^2+4^2+5^2+...+10^2

The above means that the sum of the squares of integers from 3 to 10

Using the above statement, the sigma notation is:

[tex]\sum\limits^{10}_{n = 3} n^2[/tex]

Where n represents the current integer

Read more about sigma notation at:

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______________________________

Hey!!

Base=15cm

height=5 cm

Area of parallelogram=b*h

=15*5

=75 cm^2

Hope this helps..

__________________________

Answer:

Nn

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2 x 4 = 8

8 x 2 = 16

4 x 9 = 36

36 x 2 = 72

9 x 2 = 18

18 x 2 = 36

16 + 72 + 36 = 124

124 = D

Answer:

2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Step-by-step explanation:

We are given the three expressions different from each other

We are supposed to find  what may be same or different.

1) [tex](-2)^2[/tex]

[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]

2)[tex]-2^2[/tex]

[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

3)[tex]-(2)^2[/tex]

[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Answer:

7 inches

Step-by-step explanation:

250.4/36= 6.955555 rounded to nearest inch is 7

15

Σ  40

n=6

explanation; add all the numbers to get 40

6 is the first number and 15 is the last number

Answer: D on edg

Step-by-step explanation:

Answer:

y+5 = 2x

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -5 = 2(x-0)

y+5 = 2x

Answer:

1.76 tons

Step-by-step explanation:

12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.

Answer:

mDF = 90°

(Assuming arc mCE is 5x + 10)

Step-by-step explanation:

When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.

So in this case, we have:

70° = (mCE + mDF)/2

Assuming mCE is 5x + 10, we have:

70 = (5x + 10 + 11x + 2)/2

70 = (16x + 12)/2

70 = 8x + 6

8x = 64

x = 8

So the arc mDF is:

mDF = 11x + 2 = 11 * 8 + 2 = 90°

The measure of arc DF should be 90 degrees.

Here we assume arc mCE should be 5x + 10

Since mDF = 90°

Also we know that at the time when two chords should be crossing in a circle so the angle in the cross point should be equivalent to the half the sum of the arcs

So base don this.

[tex]70 = (mCE + mDF)\div 2\\\\70 = (5x + 10 + 11x + 2)\div 2\\\\70 = (16x + 12)\div 2[/tex]

70 = 8x + 6

8x = 64

x = 8

Now the arc mDF is:

mDF = 11x + 2

= 11  (8) + 2

= 90°

Hence, The measure of arc DF should be 90 degrees.

Learn more about an arc here: https://brainly.com/question/3401487

Answer:

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son

Answer:

12.5%

Step-by-step explanation:

out of the 4 cards only two are >3 (4 and 5)

so 2/4 on the first choice (simplified to 1/2)

picking a 5 is 1/4 since there is only one 5

since they are happening at the same time multiply the two probabilities

1/2*1/4

=1/8

=0.125

=12.5%

The correct statements are:

A) Several factors affect how sediment settles.

C) Moving water affects where sediment travels.

E) Sediments are carried by a transport medium.

I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:

Which statements describe characteristics of deposition? Check all that apply.

A) Several factors affect how sediment settles.

B) Sediment is added to a new surface location.

C) Moving water affects where sediment travels.

D) Rocks are broken into smaller particles.

E) Sediments are carried by a transport medium.

If this was not your question, then you can still relate to this, as the answer would be same.

Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.

Moving water affects where sediment travels.

Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.  

It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.

At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.

Learn more in https://brainly.com/question/20625095

Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

Answer:

Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.

Step-by-step explanation:

[tex]answer \\ 33 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

C. 33 marbles must be there in the sixth line.

There are 2 marbles in the 1st line, 3 marbles in the 2nd, 5 marbles in the 3rd and 9 marbles in the 4th.

The rule is " Every consecutive line has a number that is one less than twice the previous line ".

In 1st line , 2 marbles are there.

In 2nd line, (2×2)-1 = 3 marbles are there.

In 3rd line, (2×3)-1 = 5 marbles are there.

In 4th line, (2×5)-1 = 9 marbles are there.

In 5th line, (2×9)-1 = 17 marbles are there.

In 6th line, (2×17)-1 = 33 marbles are there.

Learn more about marble problem here :

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a squared + b squared = c squared

576+100=c squared

676=c squared

c squared = 26

hope it helps

The vertex of angle is the middle letter.

E is the vertex so the answers are:

A and C

Answer:

FED and DEF

Step-by-step explanation:

vertex is the middle letter

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

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