The solution to a quadratic are called

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

Answer:

C

Step-by-step explanation:

Just because I think that's the one ^^

Answer:

5 hours

Step-by-step explanation:

because every hour she runs 4 miles so in 3 hours she will run 12 miles.

so 20 she would run 5 miles.

4 miles=1 hour

8 miles=2 hours

12 miles=3 hours

16 miles=4 hours

20 miles=5 hours.

Hope this helps have a great day:)

Answer:

Tom will take 5 hours

Step-by-step explanation:

Unit Rate

Tom runs 12 miles in 3 hours. We can calculate two different unit rates:

12 miles / 3 hours = 4 miles/hour

3 hours / 12 miles = 0.25 hours/mile



The first rate measures how many miles Tom runs per hour. The second rate measures how long it takes to Tom to run one mile.



We are asked to find the time needed for Tom to run 20 miles, thus the second rate will be useful:

0.25 hours/mile * 20 miles = 5 hours

To run 20 miles, Tom will take 5 hours

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!

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: 8x, 7,

Step-by-step explanation: Terms are separated with an addition or subtraction sign.The terms for 8x + 7 - y are:8x, 7, - yHope this helps!

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

[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:

y = -2x + 3

Step-by-step explanation:

The slope intercept equation of a straight line is [tex]y=mx+b[/tex],

where m is the slope and b is the y-intercept.

Therefore, the slope of  [tex]y=4-2x[/tex]  is -2.

If a line is parallel to another line, they have the same slope.

Therefore, the slope (m) of the new line is also -2.

Using the point-slope form of a linear equation, where m = -2 and

[tex](x_1,y_1)[/tex] is a point on the line (2, -1):

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

[tex]\implies y+1=-2(x-2)[/tex]

[tex]\implies y=-2x+3[/tex]

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:

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:

  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:

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 180, σ = 8.

For x = 185:

z = (185 - 180)/8 = 0.625

For x = 190:

z = (190 - 180)/8 = 1.25

P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

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

Answer:

he made 37 cookies

Step-by-step explanation:

24+24=48

48-11=37

p.s your welcome

Answer:

Part 1.) Is in the screenshot.

Part 2.) One month would give him 12.5

For every 1 month saved Memphis has 12.5

50÷2=25

4÷2=2

25÷2=12.5

2÷2=1

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

#1

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{100-50}{8-4}=\dfrac{50}{4}=25/2[/tex]

#2.

Equation:-

[tex]\\ \rm\rightarrowtail y-50=25/2(x-4)[/tex]

[tex]\\ \rm\rightarrowtail 2y=25x[/tex]

So

[tex]\\ \rm\rightarrowtail 2y=25[/tex]

[tex]\\ \rm\rightarrowtail y=12.5[/tex]

Answer:

Yes, they are in proportion

Step-by-step explanation:

20:18 and 40:36

20×36 and 18×5

720=720✓

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:

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]

Answer:

15/30 0r 1/2

Step-by-step explanation:

You multiply the fractions

Answer: 37

Step-by-step explanation: