Writing linear functions
Use the graph or table to write a linear function that relates y to x

Q: Where do you put a smart hot dog? A: On the honor roll.

The solution is, the final answer is 78.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The parts of the final expression are ...

 6 walker = 150

 walker = 150/6 = 25

 yoda^4 = 81

 yoda = 81^(1/4) = 3

2 Rtwo +100 = 120

Rtwo = (120 -100)/2 = 10

 luke + yoda × Rtwo + walker × Rtwo = 285

 luke + 3×10 + 25×10 = 285

 luke = 285 -280 = 5

And the grand finale:

 luke ^ yoda - Rtwo(walker / luke) + yoda

= 5^3 -10(25/5) +3 = 125 -50 +3

= 78

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Complete question:

May the fourth be with you math riddle.

picture is attached.

Answer:

  £102,000

Step-by-step explanation:

A growth rate of 1.6% corresponds to an annual growth factor of ...

  1 +1.6% = 1.016

The house value is multiplied by this factor each year for 4 years, so the final value is ...

  £96000 × 1.016⁴ ≈ £102,293

To 3 significant figures, the house value after 4 years is £102,000.

Answer:

answer : 102293.04

3 significant figures : 102000

Step-by-step explanation:

Answer:

16.4 units to the nearest tenth.

Step-by-step explanation:

sin 66 = 15 / x

x *  sin 66 = 15

x = 15 / sin 66

= 16.4196

Done!

Step-by-step explanation:

so, the scale is 1/4 cm to 1 m.

1 m = 100 cm.

1 m² = 100×100 = 10,000 cm²

that means the scaling factor is 0.25/100 = 1/400

(after multiplying with 4/4).

so, every length in reality has to be multiplied by 1/400 to get the length on the plan.

the area of a rectangle is

length × width.

now, applying the scaling factor means that

length×1/400 × width×1/400 = 40

length × width × 1/400×1/400 = actual area × 1/400² = 40

actual area = 40×400² = 6,400,000 cm²

= 6,400,000 / 10,000 = 640 m²

40° + S = 180°

- 40° + 40° + S = 180° - 40°

S = 140°

Answer: A

Step-by-step explanation:

2 2/5 is a larger number than 1 4/5.

The easiest way to know this is to look at the first number. 2 is larger than 1.

Hope this helps!

Answer:

A.

Step-by-step explanation:

2 2/5 is a bigger number than 1 4/5, so  you would us greater than sign

Answer:

[tex] \frac{7}{20} [/tex]

Step-by-step explanation:

Red marbles = 33

Blue marbles = 72

Probability of selecting red or blue marbles:

[tex]33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20} [/tex]

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!

A≈817.63m²

a Side

15

m

a

a

a

P

A

Solution

A=7

4a2cot(180°

7)=7

4·152·cot(180°

7)≈817.6303m²

Answer:

16pi km² / 8pi km

Step-by-step explanation:

r = 4

A = pi(r²)

4² = 16

A = 16pi km²

C = 2r(pi)

2r = 8

C = 8pi km

Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

18

Answer: 7(n + 1)(n - 1)

Step-by-step explanation:

[tex]7n^2-7[/tex]

[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]

[tex]=7n^2-7\cdot \:1[/tex]

[tex]$$ Factor out the common term 7[/tex]

[tex]=7\left(n^2-1\right)[/tex]

[tex]$$ Factor $n^2 - 1[/tex]

[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]

[tex]=n^2-1^2[/tex]

[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]

[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]

Answer:

Yes, it is...

Step-by-step explanation:

x^2 + y^2 = 100

---This is an equation for a circle.

A circle does not pass the vertical line test, so it is not a function.

Answer: NOT a function

Hope this helps!

Answer: h + 97 = 240

Step-by-step explanation:

Total hours worked per year: 240 hours

Current hours worked so far: 97 hours.

The variable h represents hours

Therefore, h + 97 = 240

44 students in  Mrs. Vitale's class read 11 books

Let the number of students that read 11 books in Mrs. Vitale's class be x

If One fourth of the students in Mrs. Vitale's class read 11 books, then

1/4 x = 11 books

x = 11 * 4

x = 44

Hence 44 students in  Mrs. Vitale's class read 11 books

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Answer:

Step-by-step explanation:

The total number of students that are plotted on the line plot is 20.

We are given that Mrs. Vitale's class is the same size as Ms. Seiko's class so both classes have 20 students in each.

One fourth of the students in Mrs. Vitale's class read 11 books.

1/4 *20/1 =5 students

Answer:

C: 4.7

Step-by-step explanation:

Axis of symmetry: -b/2a

a=-16

b=78

-78/2(2(-16))= 4.875 seconds in the air.

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

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Answer:A

Step-by-step explanation:

Answer:

please mark me as brainlest

Step-by-step explanation:

b is the answers for the question

Answer:

36

Step-by-step explanation:

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

The new value of the stock after the percentage decrease and increase is  $3666.60.

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

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Answer:

pen: 3 boxes [pencils : 10 packets

Step-by-step explanation:

40 and 12     4|40/10   12/3  4x3x10=120  

pen 120 divided by 40 = 3 boxes

pencils 120 divided by 12 = 10 packets

Answer:

a - 8

Step-by-step explanation:

1/2 a - 4

if we scale both numbers by the same factor, we will be creating an equivalent expression.

So, let's say we multiply the equation by 2.

1/2 a (2) = 1 a = a

-4 (2) = -8

One equivalent expression would be

a - 8

[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...

1/2 of 10 = 5, 5 - 4 = 1

1 times 10 = 10, 10 - 8 = 2

These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]

Answer:

i dont rlly know

Step-by-step explanation:

-121+49 then divide by 2

Answer:

  -36

Step-by-step explanation:

The arithmetic mean of n numbers is their sum, divided by n.

The arithmetic mean of your 2 numbers is ...

  (-121 +49)/2 = -72/2 = -36

The arithmetic mean of -121 and 49 is -36.

__

Many calculators and spreadsheets have an arithmetic mean function built in.

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

Answer:

The answer is C because the ratio 2:5 is equal to 40:100

Answer:

The 14th term is 8,192

Step-by-step explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term  : 2*2 = 4

4th term  : 4*2 = 8

So, we can simply carry out this process.

5th term  : 8*2 = 16

6th term  : 16*2 = 32

7th term  : 32*2 = 64

8th term : 64*2 = 128

9th term :  128*2 = 256

10th term : 256*2 = 512

11th term  : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

Answer:

8192

Step-by-step explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

Answer:

A, F, C

Step-by-step explanation:

(I think)