use the formula Sn to find the sum of the first five terms of the geometric sequence.

The code for Escape Room is MCYHW.

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

                       \(-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1\)

Therefore, you should connect H with x<1.

                       \(32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2\)

Therefore, you should connect W with x>-2.

                       \(3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12\)

Therefore, you should connect M with x≤-12.

                       \(-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9\)

Therefore, you should connect Y with x≥9.

                       \(-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7\)

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - \(x\leq -12\)

C - \(x\geq 7\)

Y- \(x\geq 9\)

H- \(x < 1\)

W- \(x > -2\)

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Answer:

A 9

B 4.5

C 4.5

D 2.25

Step-by-step explanation:

I need to be 20 letters long so ya

Answer:

<

Step-by-step explanation:

6 1/2 is equal to 6.5, which is less than 6.7

Hope this helps :-)

Answer:

<

Step-by-step explanation:

because 6 7/10 is larger than 6 1/2 so therefore greater than would be your answer❤

Answer:

It’s C

Step-by-step explanation:

Answer:

l = 1920 cm

Step-by-step explanation:

Given that,

The radius of circle, r = 8 cm

The central angle is 240 degrees

We need to find the length of the arc. We know that,

\(l=r\theta\)

Where

l is the length of the arc

So,

\(l=8\times 240\)

\(\implies l=1920\ cm\)

so, the length of the arc is equal to 1920 cm.

Answer:

Step-by-step explanation:

72

Answer:

=26

Step-by-step explanation:

30−32−2+7

=30−9−2+7

=21−2+7

=19+7

=26

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Answer:

lake stockton

Step-by-step explanation:

26% is equal to 26/100

you have to figure out a common denominator for all three numbers. the easiest for me was 600

to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600

for 26/100 you times top and bottom by 6 equaling 156/600

for 33/200 you multiply by 3 on both equaling 99/600

now you can clearly see that 99/600 is the least amount

Answer:

1809/27=67 is your answer........

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

f^-1(x) = 1/5 x

Step-by-step explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x

Answer:

\(\Large \boxed{f^{-1}(x)=\frac{x}{5} }\)

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

\(\frac{x}{5} =y\)

A 95% confidence interval for the population of people on their homes is (44.74% , 51.84%)

In frequentist statistics, a confidence interval (CI) is basically a range of estimates for an unknown parameter. The most common confidence level is 95%, but when calculating confidence intervals, other levels, such 90% or 99%, are also occasionally employed.

The confidence level is a measure of how many related CIs over the long run include the actual value of the parameter. Confidence interval is widely used in binomial distribution and in probability.

Given that,

Total number of peoples = 760

367 own their homes.

95% confidence level is to be calculated.

We know that p'=367/760 = 0.483

now we know that the confidence interval can be calculated using the formula

C.I = \((\bar p-Z_c\sqrt{\frac{p(1-p)}{n} },\bar p+Z_c\sqrt{\frac{p(1-p)}{n} })\)

95% confidence interval gives the value of Z-score as 1.96

Now we will substitute the values in the above equation to calculate the Confidence interval.

n=367

(1-p )= 1-0.483 = 0.517

C.I =\((0.483-1.96\sqrt{\frac{0.483\times0.517}{367} },0.483-1.96\sqrt{\frac{0.483\times0.517}{367})\)

C.I = (44.74% , 51.84%)

Therefore a 95% confidence interval for the population of people on their homes is (44.74% , 51.84%)

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Answer:

37?

Step-by-step explanation:

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

Do u have answer choices?

Answer:

Your proportional constant would be 3 in this case.

Step-by-step explanation:

To find it yourself, try and find what number the y-axis equals when x=1. Hope this helps!

Answer:

\((b\circ a)(x)=3x-3\) ; the domain is all real numbers

Step-by-step explanation:

\(a(x) = 3x+1\)

\(b(x)=x-4\)

\((b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3\)

Therefore, the domain of the composite function is all real numbers.

Answer:

Step-by-step explanation:

18 - 7p = ?

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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( 3,7 ) will be point when its moved 5 units down on coordinate plane .

What is the short definition of a coordinate plane?

( 3,2) is the point .

when the point is moved 5 units down

then the point will be  = ( 3, 7 )

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Answer:

a) The function has a minimum value.

b) The minimum value of the function is -27.

c) The minimum value occurs at x=3.

Step-by-step explanation:

Answer:

The 16th Century began on January 1st of 1600

Answer:

1 January 1501

hope it helps.

Answer:

x=4

Step-by-step explanation:

The fertilizer he needs is 1000 square feet if the length is 40ft and width 25ft.

Area is the amount of room a two-dimensional (flat) surface occupy. It is helpful since it indicates how much of a certain material is required to create a hollow container. An object or shape's area is the total amount of surface it occupies.

The square foot, square mile, square meter, and square kilometer are a few examples of units used to measure area. Formulas can be used to determine the areas of regular forms like squares, rectangles, triangles, and circles. Grid or graph paper can be used to estimate the area of an irregular form.

Jose's rectangle yard, which is 40 feet long and 25 feet wide, will reportedly receive a fertilizer application.

We must determine the quantity of fertilizer he requires.

We are aware that the rectangle's area formula is as follows:

Area = Length * Width

using the values provided as a substitute, we obtain:

Area=40×25

Area=1000 square feet

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The answers for following questions are;

i. $244.64

ii. $ 5314.64

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.

Here, future value or amount;

          A = P(1 + r)ⁿ

Where,

A = future value = ?

P = principal = $ 12,300

r = interest rate = 6%/12 = 0.06/12 = 0.005

n = number of periods = 12 X 6 years = 72

A = P(1 + r)ⁿ

= 12,300(1 + 0.06/12)⁷²

= 12300 (1 + 0.005)⁷²

= 12300 (1.005)⁷²

= 12300 (1.4384)

= 17,614.64

Each monthly payment = Total payment / number of months

= $17,614.64 / 72

= $ 244.64

Total amount of interest = Total payment - Principal payment

                                          =   17,614.64 - 12300

                                          =   $ 5314.64

Thus, The answers for following questions are;

i. $244.64

ii. $ 5314.64

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Answer:

\(x^{3}\)\(\sqrt{x}\)

Step-by-step explanation:

An easier way to approach this is to separate the inside first.

\(\sqrt[]{x*x*x*x*x*x*x}\)

Now you can group together pairs of 2, and they come out as one.

\(x*x*x\sqrt{x}\)

Multiply all the xs on the outside, and you get

\(x^{3}\)\(\sqrt{x}\)