Complete the statements about the series.
4
∑(-1/2)^K
k=0
1. There are ____ terms.
2. The sign of each term in the series ___.
3. What is the last term in this series?

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

Answer:

yes it is good luck with your work

Answer:

b and c

Step-by-step explanation:

x=5 so its basically 1+5=6 and 7-5=2

Answer:

The answer is 12 hours

The answer is 83 ;D

This exposition impractically catches the pith of New York City much superior to anything I will ever have the capacity to. As a Californian, I view New York as I envision a New Yorker in the Nineteenth Century would view California. The contemplation is practically outlandish. California is the boundlessness edged pool of a landmass. Its wide open meanders perpetually, forever of the open doors which it holds until the land drops into nothingness and the Pacific devours it.

New York then again, shouldn't exist. Many think of it as the zenith of human accomplishment, a mixture of humankind existing together with an enthusiastic feeling of a club, all living under the standard held high that drains, "New York." It is where ten million drums play to their own beat, yet all ring to a similar congruity.

Didion's involvement in the city echoes these tones. The city is undoubtedly a spot where a half year can transform into eight years, and a night out can transform into a marriage. Didion expressed, "It was an unendingly sentimental idea, the puzzling nexus of all affection and cash and power, the sparkling and short-lived dream itself."

This exposition goes about as Didion's adoration letter to the city, one that isn't composed starting with one captivated sweetheart then onto the next, yet rather as Socrates would keep in touch with Zeus in an incredible miracle of his god-like power. Didion sees New York as legendary Fate, culling and cutting the strings of life which would decide her way of presence. Didion drives home the thought that New York is a thought. It represents something. New York is synonymous with America.

Opportunity. Renewed opportunities. Acts of futility. It is the New Mesopotamia, the support of life held in its bin by the two streams which give it its separated liveliness. American contemporary articles endeavor to restore the sentimental nature which used to drive American writers like Whitman and Thoreau to compose, and she completes a magnificent activity of that. My inquiry is how does Didion's association with the city influence her life?

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

Answer:

Step-by-step explanation:

There is 60 min. in 1 hour. 60 ÷ 15 =4. 4×24 = 96

Answer:

John has 12 pairs of pants and 28 pairs of shorts.

Step-by-step explanation:

Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:

(12/3) x 7 = X

4 x 7 = X

28 = X

Therefore, John has 12 pairs of pants and 28 pairs of shorts.

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

Answer:

13/6

Step-by-step explanation:

2 x _/6 = 12/6, then add 1/6 and you have 13/6

Answer:

A

Step-by-step explanation:

the point is at positive 8 and none of the other answers have positive 8

Answer:

2048 I think

Step-by-step explanation: 8 to the power of 3 times 4

angle 3 = 127°.

I hope this may be helpful

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

Answer:

there 18 girls

Step-by-step explanation:

40% of 30 = 12

this means there are 12 boys

30-12 = 18

there 18 girls

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

[tex]P_1 = 12000[/tex]

[tex]P_2 = 20000[/tex]

[tex]P_{sat}=80000[/tex]

(a)

We know that the arithmetic growth formula will be:

⇒ [tex]P=Pi+K\times t[/tex]...(1)

here,

⇒ [tex]K=\frac{P_2-P_1}{\Delta t}[/tex]

        [tex]=\frac{20000-12000}{25}[/tex]

        [tex]=\frac{80000}{25}[/tex]

        [tex]=320[/tex]

On putting the values in equation (1), we get

⇒ [tex]P_{2020}=20000+320\times 10[/tex]

             [tex]=23,200[/tex]

(b)

The geometric growth formula will be:

⇒ [tex]P=ln(Pi)+K\times t[/tex]

here,

⇒ [tex]K=\frac{lnP_2-lnP_1}{\Delta t}[/tex]

         [tex]=\frac{ln(20000)-ln(12000)}{25}[/tex]

By putting the values of general log, we get

hence,

⇒ [tex]P_f=ln(20000)+0.0204\times 10[/tex]

         [tex]=10.107[/tex]

[tex]P_{2020}=e^{10.107}[/tex]

          [tex]=24,514[/tex]

(c)

⇒ [tex]P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}[/tex]

or,

⇒ [tex]K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )[/tex]

from here, we get

        [tex]=0.005[/tex]

hence,

⇒ [tex]P_{2020}=80000-(80000-20000)e^{-0.005\times 10}[/tex]

             [tex]=80000-(60000)e^{-0.005\times 10}[/tex]

             [tex]=22,926[/tex]

Part (a)

The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.

The z score is computed with the formula below

z = (x-mu)/sigma

z = (25-45)/13.8

z = -1.449275 approximately

z = -1.45 is the final answer

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

Part (b)

We want the z score to be larger than 2. So z > 2.

This is the same as wanting the expression (x-mu)/sigma to be larger than 2

(x-mu)/sigma > 2

(x-45)/13.8 > 2

x-45 > 2*13.8

x-45 > 27.6

x > 27.6+45

x > 72.6

If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.

If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

A. Right triangles.

B. Height of 16cm with bases 20cm

C. 320

D.?

Answer:

x = 8

Step-by-step explanation:

36 × 2 = 9 × x

72 = 9x

9x = 72

9x ÷ 9 = 72 ÷ 9

x = 8