What TWO requirements does a graph need to meet to be considered proportional?

You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.

Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.

Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.

Eg: (-7)^2 = 49 and (-3)^4 = 81

This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.

Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]

So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]

And it's why choice E is not one of the answers.

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Answer:

d

Step-by-step explanation:

i like ya cut g

Answer:

Step-by-step explanation:

Given

Formula for compound interest is:

Substituting values

Answer:

1024

Step-by-step explanation:

4⁵ is 4 multiplied 5 times.

4⁵ = 4 · 4 · 4 · 4 · 4

16 · 4 · 4 · 4

64 · 4 · 4

256 · 4

1024

Answer: 3

Step-by-step explanation: 3/2 / 1/2 = 3  

= )

Answer:

It's 3 :)

Step-by-step explanation:

you just multiply the numerators and put them over 1.

so 3*1 is just 3. Hope this helps!

Answer:

There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.

Step-by-step explanation:

The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.

X follows a Binomial distribution with parameters n = 100 and p = 0.20.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 [tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]

Thus, a Normal approximation to binomial can be applied.

[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]

Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:

[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]

                   [tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]

Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.

Answer:

g(-10) = 345

Step-by-step explanation:

g(x) = 4x² + 3x - 25

~Substitute

g(-10) = 4(-10)² + 3(-10) - 25

~Simplify

g(-10) = 4(100) - 30 - 25

~Multiply

g(-10) = 400 - 30 - 25

~Subtract

g(-10) = 370 - 25

~Subtract

g(-10) = 345

Best of Luck!

Answer:

24cm

Step-by-step explanation:

you do length times width and you get 24

first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,

answer:

b = 2

step-by-step explanation:

because its roots are -4 and 2,

and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]

using the distributive property we get,

[tex]x^2 + 2x - 8 = 0.[/tex]

by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .

hope this helps :)  

-audrey <3

9514 1404 393

Answer:

  B.  5.791

Step-by-step explanation:

The slope of the line is the coefficient of x in its equation. The equation is ...

  ŷ = -74.704 +5.791x

The coefficient of x, the slope, is 5.791.

Answer:

Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)

Step-by-step explanation:

The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.

Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.

HOPE THIS HELPS ↖(^ω^)↗

Answer:

No

Step-by-step explanation:

y = -2x + 1

(-11) = -2(5) +1  \  Plug-in the values from the point given

-11 = -10 + 1  \  Reduce

-11 = -9 \ Simplify

-11 ≠ -9  \ Determine the valididity

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

   Find the gross area of the garden.

   Square 150m = 22,500 sqm.

Step 2:

   Find the area of the pool.

   Square 25m = 625 sqm.

Step 3:

   Subtract the area of the pool from the gross area of the garden

   to find the net area of the garden.

   22,500 - 625 = 21,875 sqm.

Warning:

   Do not subtract the side length of the swimming pool from the side length

   of the garden before squaring.

Answer:

The value of x is 4 and y is -1 .

Step-by-step explanation:

First, you have make any term to have the same coefficient. So I will choose x term :

[tex]6x + 5y = 19 - - - \times 2[/tex]

[tex]12x + 10y = 38 - - - (1)[/tex]

[tex]4x + 6y = 10 - - - \times 3[/tex]

[tex]12x + 18y = 30 - - - (2)[/tex]

Next, you have to solve it by Elimination method :

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

[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]

[tex] - 8y = 8[/tex]

[tex]y = - 1[/tex]

[tex]substitute \: y = - 1 \: into \: (1)[/tex]

[tex]12x + 10( - 1) = 38[/tex]

[tex]12x - 10 = 38[/tex]

[tex]12x = 38 + 10[/tex]

[tex]12x = 48[/tex]

[tex]x = 4[/tex]

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}

Answer:

1. second

2. -200

Step-by-step explanation:

Just did it on e2020

The equation that represents the graph is g(x) = |x + 4| - 10.

The correct option is B.

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

Since the graph of the parent function is g(x) = |x|, the transformed graph is obtained by shifting it 4 units to the left and 10 units down. This can be achieved by applying the following transformations to the parent function:

Shift 4 units to the left: g(x + 4) = |x + 4|

Shift 10 units down: g(x + 4) - 10 = |x + 4| - 10

Therefore, the equation for the transformed function is g(x + 4) - 10 = |x + 4| - 10.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

Answer:

5

Step-by-step explanation:

[tex]\sqrt(-3)^{2}+4^2[/tex]

[tex]\sqrt9+16[/tex]

[tex]\sqrt25[/tex]

Answer:

How heavy is a full grown black bear?

2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.

Step-by-step explanation:

HOPE THIS HELPED ✨

The weight difference between a female black bear and a female key deer is 80 or lower.

a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.

the weight difference between a male black bear and a male key deer is 510 pounds.

a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.

Answer: A. -40

Step-by-step explanation:

-4 x -2 equals 8, 8 times -5 equals -40

Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?

Answer:

y=-2/3x+7

Step-by-step explanation:

Since you know the path is parallel to the equation y+-2/3x+12, you already know the slope is -2/3.

It says y is the height above street level, so that is 3. The problem says x is time, which is 6, so all you have to solve for is the y intercept.

3 (y, or the height above street level) = (-2/3) 6 (x, or time) + b (unknown y intercept)

3 = -4 + b

7 = b

So, y = -2/3x + 7

[tex]given \: that \: :[/tex]

[tex]x \: = - 9[/tex]

[tex]then \: 3x \: will \: be : [/tex]

[tex]3 \times x[/tex]

[tex]3 \times - 9[/tex]

[tex] = - 27[/tex]

[tex]∴3x = - 27 \: ( \: x \: = - 9)[/tex]

Answer:

a. 14,000 pesos

b. 23 years

Step-by-step explanation:

Answer:

f = 2 ^ x es cierto para todo y

Answer:

  1/5

Step-by-step explanation:

When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.

  k(10, -15) = (2, -3)

  k = 2/10 = -3/-15 = 1/5

The scale factor of the dilation is 1/5.

1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve

2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x

3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into  5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.

Answer:

9/22

Step-by-step explanation:

convert 3ft into inches.

3*12=36in

then make it into a fraction

36/88

simplify

9/22

Answer:

Hi There

Your answers are:

4) 12/3

-10) YES!

0/10) 0 (zero)

2 & 3/4 ) 11/4

10 & 1/2 ) 21/2

.3) 3/10

-.16) -4/ 25

3.17) 3 & 17 /100

.3 repeating ) YES

.16 repeating) 1/ 6

-1.2 repeating ) YES!

If a decimal does not terminate or repeat is is not a rational number

Step-by-step explanation:

For 4)

4/1 = 12/x

Ask yourself, how do i get from 4 to 12?

Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!

4/1 * 3/3 = 12/3

For -10 )

-10/1 = -20/2

Simplify -20/2!

Divide -20 by 2 = -10

-10/1 = -10/1 YES!

For 0/10 )

When you have ZERO tenths, what does that equal? Zero!

For 2 & 3/4ths )

To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator

(2*4 +3) / 4

8+3 / 4 = 11/4

For 10 & 1/2 )

Repeat what you did for 2& 3/4ths!

(10*2+1)/2

20+1/2

21/2