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find x using tangent ratio

Answer:

19y+21

Step-by-step explanation:

[tex] = 3y + 3y + 7y + 6y + 15 + 6 \\ = 6y + 6y + 7y + 15 + 6 \\ = 12y + 7y + 21 \\ = 19y + 21[/tex]

Answer: 20

Step-by-step explanation: source: trust me bro

Answer:

B

Step-by-step explanation:

The monthly loan payment should be $168.75.

Since Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR.

The net principal should be

= $10,000 - $2,500

= $7,500

Now simple interest should be

= $7,500(5)(7%)

= $2,625

Now the total amount should be

= $7,500 + $2,625

= $10,125

Now the monthly payment is

[tex]= 10125\div (12\times 5)\\\\= 10125 \div 60[/tex]

= $168.75

Therefore, The monthly loan payment should be $168.75.

Learn more about rate here: https://brainly.com/question/24338143

Answer:

The limit of the infinite series is equal to zero.

The nth term test is inconclusive ∵ the limit is equal to 0.

By the Comparison Test, this sum diverges.

General Formulas and Concepts:
Calculus

Limits

Series Comparison Tests

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{3n^5}{6n^6 + 1}[/tex]

Step 2: Find Convergence

Therefore, the nth term test is inconclusive and another test must be done.

Step 3: Find Convergence Pt. 2

∴ since the comparison series is divergent, then our original series is also divergent according to the Direct Comparison Test.

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Learn more about limits: https://brainly.com/question/26091024

Learn more about Taylor Series: https://brainly.com/question/23558817

Topic: AP Calculus BC (Calculus I + II)

Unit: Taylor Series

Answer:

zero

Step-by-step explanation:

L’Hospital’s rule states that for two functions f(x) and g(x), if either:

[tex]\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} g(x)=0, \textsf{or}[/tex]

[tex]\ \lim_{x \to \infty} f(x)=\pm \infty \ \textsf{and} \ \lim_{x \to \infty} g(x)\pm \infty[/tex]

[tex]\textsf{Then provided that} \ \lim_{x \to \infty} \dfrac{f(x)}{g(x)} \textsf{ exists, }\lim_{x \to \infty} \dfrac{f(x)}{g(x)}=\lim_{x \to \infty} \dfrac{f'(x)}{g'(x)}[/tex]  

[tex]\lim_{n \to \infty} \dfrac{3n^5}{6n^6+1} \rightarrow \dfrac{\infty}{\infty}[/tex]

[tex]\textsf{Let } f(n)=3n^5 \textsf{ and let } g(n)=6n^6+1[/tex]

[tex]\implies f^{'}(n)=15n^4 \textsf{ and } g^{'} (n)=36n^5[/tex]

By L’Hopital’s rule:

[tex]\lim_{n \to \infty} \dfrac{3n^5}{6n^6+1}=\lim_{n \to \infty} \dfrac{15n^4}{36n^5}= \lim_{n \to \infty} \dfrac{5}{12n}=0[/tex]

[tex] \: [/tex]

[tex] \large\red{ \longrightarrow} \pmb{ \sf{(5 – 2x) (3 + x)}}[/tex]

[tex] \: [/tex]

[tex] \mapsto \: \: \: \sf{5(3 + x) – 2x(3 + x)}[/tex]

[tex] \: [/tex]

[tex] \mapsto \: \: \: \sf{(5 × 3) + (5 × x) – (2x × 3) – (2x × x)}[/tex]

[tex] \: [/tex]

[tex]\leadsto \: \: \: \sf{ 15 + 5x – 6x – 2x ^{2} }[/tex]

[tex] \: [/tex]

hope it helps!! :)

Answer:

a. square

b. square

c. The shapes are the same because they are in the same form and are similar. They are different because they have different dimensions.

Answer:

x=7

y=-17

Step-by-step explanation:

Lets do 10x-7. Basically it will be equal to 63, so the equation will be 10x-7=63

to find x we need to add 63+7=70 and put 10x with an equal sign which is 70=10x

7=x because 70/10=7.

in a simple way it is

10x-7=63

10x=7+63=70

10x=70

x=7

Lets do -5y+3. It is equal to 88.

so it will be

-5y+3=88

-5y=88-3=85

-5y=85

y=-17

Answer:

[tex]\Longrightarrow: \boxed{\sf{x=7, \ y=-17}}[/tex]

Step-by-step explanation:

To find the value of x and y in the parallelogram, you have to isolate it on one side of the equation.

First, add by 7 from both sides.

10x-7+7=63+7

Solve.

Add the numbers from left to right.

63+7=70

10x=70

Then, you divide by 10 from both sides.

10x/10=70/10

Solve.

Divide these numbers goes from left to right.

70/10=7

[tex]\Longrightarrow: \boxed{\sf{x=7}}[/tex]

Subtract by 3 from both sides.

-5y+3-3=88-3

Solve.

Subtract the numbers from left to right.

88-3=85

-5y=85

Divide by -5 from both sides.

-5y/-5=85/-5

Solve.

Divide the numbers from left to right.

85/-5=-17

[tex]\Longrightarrow: \boxed{\sf{y=-17}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

[tex]y=\frac{1}{3}x[/tex]

*View attached graph*

Step-by-step explanation:

Point-slope: [tex]y-y_1=m(x-x_1)[/tex]

m = slope ([tex]\frac{1}{3}[/tex])

point (6,2)

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-2=\frac{1}{3}(x-6)[/tex]

[tex]y-2=\frac{1}{3}x-2[/tex]  

  [tex]+2[/tex]           [tex]+2[/tex]

[tex]y=\frac{1}{3}x[/tex]

Hope this helps!

Answer:

SALES price of this snowmobile is $2,240

Step-by-step explanation:

value of sales:

price after discount:

Answer:

a=s2

Step-by-step explanation:

s is the length of the side of the square.

Answer:

25/9% or approximately 2.78

Step-by-step explanation:

We have 6 sides on the die so we can get 6 numbers. We can do 6x6 to find the total amount of possible numbers she can get. 6x6 is 36. There is only one way she can get a 4 and a 6. Now we can say that she has a 1/36 chance to win the bet. But we have to find the percent so we can multiply it by hundred and we get 25/9%.

Answer:

  69.15%

Step-by-step explanation:

You want the probability of a race time being less than 348 minutes if times are normally distributed with mean 319 minutes, and standard deviation 58 minutes.

The probability is found using the suggested resources. It will be ...

  P(X<348) ≈ 0.6915

As a percentage, that is ...

  0.6915 × 100% = 69.15%

The percentage of times shorter than 348 minutes is about 69.15%.

__

Additional comment

The corresponding Z-score is (348-319)/58 = 0.500. Your table should give you the above value directly for that Z-score. No interpolation will be necessary.

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Answer:

I'm not going to lie to you I have no idea I just want my free answers lol

Answer:

Yes, they are in proportion

Step-by-step explanation:

20:18 and 40:36

20×36 and 18×5

720=720✓

Answer:

15/30 0r 1/2

Step-by-step explanation:

You multiply the fractions

Answer:

C

Step-by-step explanation:

Just because I think that's the one ^^

Answer:

Step-by-step explanation: . Paid to the painter for 12 hrs=Rs.360........therefore,......amt paid for 1 hr=360/12=30......... Therefore,.....amt paid for 9 hrs=9*30=Rs.270........hope i helped u:)

The amount paid for 9 hours is R270

The expression can be represented by using the following ratio

Ratio = Amount : Time

So, we have:

R360 : 12 = Amount : 9

Express as fraction

R360 / 12 = Amount / 9

Multiply both sides by 9

Amount = R360 / 12 * 9

Evaluate the product

Amount = R270

Hence, the amount paid for 9 hours is R270

Read more about rates at:

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By the order of operation, we first do the operation in parentheses

  ( 6 * (2 + 15) ) /3 = (6* 17)/3 = 102 / 3

Then we do the division

       Answer = 102 / 3 = 34

Hope that helps!

The number of different seating arrangements is an illustration of permutation

There are 151200 different seating arrangements

The number of seats (n) is given as:

n = 10

The number of people (r) is given as:

r = 6

So, the number of seating arrangements is:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

This gives

[tex]^{10}P_6 = \frac{10!}{(10 - 6)!}[/tex]

Simplify

[tex]^{10}P_6 = \frac{10!}{4!}[/tex]

Evaluate the quotient

[tex]^{10}P_6 = 151200[/tex]

Hence, there are 151200 different seating arrangements

Read more about permutation at:

https://brainly.com/question/12468032

Para llegar a la cima del avión, debe caminar una distancia de 481 m.

Un plano inclinado es uno de los tipos de máquina simple que se emplea para facilitar el trabajo.

Ahora, podemos ver que la altura de la rampa es de 100 m está inclinada en un ángulo de 12 grados. La distancia que debe caminar es la hipotenuesa del triángulo.

Que esta hipotenuesa adios c

Por eso;

sen 12 = 100m/c

c = 100 m/sen 12

c = 481 metros

Más información sobre el plano inclinado:https://brainly.com/question/25163928

Answer:

The answer is 1/2a + 20

Step-by-step explanation:

Now, Substitute value of b

1/2a + 2/3b

1/2a + 2/3(30)

1/2a + 2 × 10

1/2a + 20 = a/2 + 20 = (a + 40) ÷ 2

Thus, The answer is 1/2a + 20

-TheUnknownScientist 72

[tex] log_{a}( {b})^{c} = c \times log_{a}(b) [/tex]

_____________________________________________

[tex] log_{2}( {6})^{x} = x \times log_{2}(6) [/tex]

Thus the last option is the correct answer.

Answer:

A.

Step-by-step explanation:

Organize the terms and you have this:

(-3x^2+x^2)+(4x-3x)+(-8-2)

The equal terms, i.e the terms with the same exponent (the ones that are in parentheses) are reduce:

(-3x^2+x^2)=-2x^2

(4x-3x)=x

(-8-2)=-10

Then

-2x^2+x-10