the polygons in each pair are similar. find the missing side length​

Answer:

Tn = -4n²+40n+36

Step-by-step explanation:

A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.

So, when n = 1, Tn = 72, which means T1 = a+b+c=72.

when n = 2, Tn = 100, which means T2= 4a+2b+c = 100

when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.

Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.

Hence, you a, b, and c in the Tn equation given above.

Therefore, Tn = -4n²+40n+36

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

Answer:

The country's debt is $ 48,543.68 per person.

Step-by-step explanation:

Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 309,000,000 = X

15,000,000 / 309 = X

48,543.68 = X

Therefore, the country's debt is $ 48,543.68 per person.

Answer:

= 3v^2 x^27

Step-by-step explanation:

Apply exponent rule:   aa = a^2

VV = V^2

=3V^2x^24x^3

Simplify x^24 x^3 :  x^27

= 3v^2 x^27

Answer:

The correct answer is "0.43".

Step-by-step explanation:

According to the question,

The probability of boat accessories sale,

= 0.3

The probability of sale in Portland store,

= 0.35

now,

The probability that the decision was signed somewhere at Portland shop will be:

= [tex]\frac{P(boat \ acessories \ sale\times P(sale \ in \ Portland \ store)}{P(boat \ accessories \ sale)}[/tex]

By substituting the values, we get

= [tex]\frac{ 0.3\times 0.35}{( 0.2\times 0.5 + 0.3\times 0.35 + 0.25\times 0.15)}[/tex]

= [tex]\frac{0.105}{0.1+0.105+0.0375}[/tex]

= [tex]0.43[/tex]

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:

  x^2 +4x = 3

Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.

  x^2 +4x +4 = 7

In order to make this match one of the answer choices, we must multiply both sides by 4.

  4x^2 +16x +16 = 28

Now, we can factor the left side to see a match to the last answer choice.

  (2x +4)^2 = 28

_____

Additional comment

As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

Answer:

0.8 = 80% probability that they did in fact study for the test.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passed the exam.

Event B: Studied.

Probability of passing the test:

80% of 60%(Studied).

30% of 100 - 60 = 40%(did not study). So

[tex]P(A) = 0.8*0.6 + 0.3*0.4 = 0.6[/tex]

Probability of passing the test studying:

80% of 60%, so:

[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]

Find the probability that they did in fact study for the test with this knowledge in hand.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8[/tex]

0.8 = 80% probability that they did in fact study for the test.

Answer:

A

Step-by-step explanation:

The answer is A because the systems of inequalities are plotted correctly like A shows.

Answer:

-2/3

Step-by-step explanation:

Well you would use slope-intercept formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you need to plug in your numbers so it would look like [tex]\frac{5-3}{-2-1}[/tex]. then it would look like [tex]\frac{2}{-3}[/tex] and that would be your m. The next step would be to

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

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Answer:

  12°

Step-by-step explanation:

We assume you mean ...

  ∠x = 174°

Angle a is supplementary to angle x, so is ...

  ∠a = 180° -174° = 6°

Angle b is a vertical angle with respect to angle 'a', so is the same measure.

  ∠a +∠b = 6° +6° = 12°

Answer:

D. Highest increase in the multiple R2.

Step-by-step explanation:

Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.

9514 1404 393

Answer:

  4%

Step-by-step explanation:

The simple interest formula can be used.

  I = Prt

where r is the annual rate and t is the number of years.

 1/5 = 1·r·5

 (1/5)/5 = r = 1/25 · 100% = 4%

The rate is 4%.

The median is the middle value of a set.

There are 9 numbers. 9/2 = 4.5

Round up to 5, the median is the 5th number in the set.

Median = 6

Answer:

a = 4/ 1 − | x | h = 0

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(3) = 2(3) + 3

= 9

Answer:

[tex]{ \tt{f(x) = 2x + 3}}[/tex]

f(3) means x = 3, substitute for x as 3 :

[tex]{ \tt{f(3) = 2(3) + 3}} \\ = 6 + 3 \\ = 9[/tex]

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

I hope this is a real answer

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Imaginary root i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

Answer:

n=4

Step-by-step explanation:

-8-8=-7+3n

-16=-4n

n=4

Answer:

The answer is "[tex]\frac{5\pi}{6}[/tex]"

Step-by-step explanation:

Please find the graph file.

[tex]h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\[/tex]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

Answer:

Step-by-step explanation:

(6+8i)(3-2i)

use FOIL

18 - 12i + 24i - (16[tex]i^{2}[/tex])

18 + 12i - (-16)

18 + 12i + 16

34 + 12i

Answer:

0.1487

Step-by-step explanation:

From the table :

The total number of people living alone in the region = 31.6

The number of people living in the region who fall with the 25 - 34 age range is 4.7

Probability, P = required outcome / Total possible outcomes

P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population

P(range 25 - 34) = 4.7 / 31.6 = 0.1487

Answer:

Step-by-step explanation:

The expression is too close together. Can you space them out?

Answer:

d) -216x^9y^18

Step-by-step explanation:

Answer:

285

Step-by-step explanation:

First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.

Answer:

V = 2143.57 cm^3

Step-by-step explanation:

We want to find the volume of the sphere

V = 4/3 pi r^3 where r is the radius and pi = 3.14

V = 4/3 ( 3.14) ( 8)^3

V = 2143.57333 cm^3

Rounding to the nearest hundredth

V = 2143.57 cm^3

Answer: 2,143.57

Step-by-step explanation: because the formula to do it is the use the radius and search up the sphere formula and do it

Answer:

1

4

3

6

2

5

Step-by-step explanation:

Too lazy to explain 6 factorings on mobile. Trust me if it pleases you.