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Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.

In this problem, the sequence is: {-8, -1, 6, 13}

The difference between consecutive terms is:

[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]

Hence, the common difference of the sequence is of -7.

You can learn more about arithmetic sequence at https://brainly.com/question/6561461

Answer:

Step-by-step explanation:

The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0

f(x) = 2^x +3.

0 = 2^x +3.

2^x +3. = 0

2^x = -3

log 2^ x = log(-3)

x log2 = log(-3)

x = log(-3)/log 2

Hence the required function is when x = 0

Answer:

5 13/15 miles

Step-by-step explanation:

Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10

Step-by-step explanation:

Answer:

this is all correct btw love u baby

Step-by-step explanation:

               a                            b                              c            

<A          opposite            adjacent                     hypoth

<B          adjacent              opposite                    hypoth

Answer:62%    Step-by-step explanation:

Answer:

the first one is your answer

Step-by-step explanation:

Answer:

0.03125

Hope this helps! :)

0.03125 is the answer :) hope it helped

Answer:

5/12

Step-by-step explanation:

15 to 36 can also be written as 15/36.

Divide by common values to simplify.

15÷3/36÷3

5/12

Best of Luck!

Answer:

D is the correct answer actually

Step-by-step explanation:

just took the unit review

Answer:

d

Step-by-step explanation:

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

Answer:

t = 54m + 160

Step-by-step explanation:

Input = m

Output = t

Equation of the function in slope-intercept form, is represented as t = km + b

Where,

k = slope/rate of change

b = y-intercept

Using two pairs, say, (2, 268) and (3, 322):

[tex] slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 [/tex]

k = 54

Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.

Thus:

268 = (54)(2) + b

268 = 108 + b

268 - 108 = b (subtraction property of equality)

160 = b

b = 160

To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.

Thus:

t = 54m + 160

Answer:

3:15

1:5

Step-by-step explanation:

Answer:

3:15 and 1:5

Step-by-step explanation:

Hope this helped ^^✨

Answer: -3

Step-by-step explanation:

Answer:

Not sure what number sense is, but 3 is the answer.

Step-by-step explanation:

Answer:

the answer would be 3.

Step-by-step explanation:

5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!

Answer:

The actual height of telescope is 42.85 inches

Step-by-step explanation:

Given that:

Height of model of telescope = 15 inches

Diameter of model of telescope = 3.5 inches

Actual diameter of telescope = 10 inches

Actual height of telescope = x

Ratio of model's diameter to height :: Ratio of actual diameter to height

3.5 : 15 :: 10 : x

Product of extreme = Product of mean

3.5*x = 10*15

3.5x=150

Dividing both sides by 3.5

[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]

Hence,

The actual height of telescope is 42.85 inches

Answer:

A) C=6t

Step-by-step explanation:

16 wide

Step-by-step explanation:

because i do 8 x 2

Answer: 4 cm will equal the width of the volleyball court on the scale drawing

Step-by-step explanation:

1cm = 2m

8m/2m =4 cm

Answer:

200,000

Step-by-step explanation:

its easy and simple lol

Answer:219,000

Step-by-step explanation: 7 is higher than 5 so you round it positively :)

Answer:

b

Step-by-step explanation:

Answer:

Results below

Step-by-step explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2

[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2

The table below summarizes the results

Answer:

Merry christmas, and he is real

Step-by-step explanation:

Answer:

oop lol MERRY CHRISTMAS!!!! Also cute picture :)

HAPPY HOLIDAYS!

Send virtural hugs*

Answer:

(a) A = (20mg)/(2^(t/30))

(b) 12.6mg

(c) 129.6years

Step-by-step explanation:

To calculate the amount remaining after a number of half-lives, n, we can make use of:

[tex]A = \frac{B}{2^n}[/tex]

Where A = amount remaining

B = initial amount

[tex]n = \frac{t}{t_{0.5}}[/tex]

(a) A = (20mg)/(2^(t/30))

(b) Mass after 20years

A = (20mg)/(2^(20/30)) ≈ 12.6mg

(c) After how long will only 1mg remain:

1mg = (20mg)/(2^(t/30))

[tex]20mg = {2^{\frac{t}{30}}[/tex]

Taking log of both sides we have:

Log(20) = (t/30)log(2)

t/30 = (log(20))/(log(2)) ≈ 4.3

t/30 = 4.3

t = 30 x 4.3 ≈ 129.6years.

Answer:

33 is composite

Step-by-step explanation:Because its factors are 1, 3, 11, 33

Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry

Answer:

I got 33y

Step-by-step explanation:

hi if its right but here

Answer:

57y

Step-by-step explanation: