An alien blob started with a mass of 12 kg and is doubling in size every day. How large will the blob be after 2 weeks? y=a(b)^x

Answer:

a. Please find attached the required scatter plot

b. The minimum temperature in the data set is 67°F

c. The maximum temperature in the data set is 106°F

d. The vertical shift for the data set is 67°F

e. The amplitude 19.5 °F

f. The period is 12 months, the frequency = 1/12 months

h. The sine function equation that models the data set is 19.5·sin(π·t/6 - π/2) + 86.5

i. After the second and before the third month or after the ninth and before the 10th month

Step-by-step explanation:

The equation for the sinusoidal variation of temperature with time can be presented as follows;

y = A·sin(Bt + C) + D

Where;

A = The amplitude = (The Maximum value - The minimum value)/2

The amplitude = (106 - 67)/2 = 19.5°F

B = 2·π/(The period) = 2·π/12 = π/6

t = The time in months

C = The phase shift = -π/2

D = The midline = (The Maximum value + The minimum value)/2 = (106 + 67)/2 = 86.5 °F

The equation that models the data = 19.5·sin(π·t/6 - π/2) + 86.5

When the temperature is 82°, we have;

82 = 19.5·sin(π·t/6 - π/2) + 86.5

82 - 86.5 = 19.5·sin(π·t/6 - π/2)

-4.5°F = 19.5·sin(π·t/6 - π/2)

sin⁻¹(-4.5/12) = π·t/6 - π/2

-0.3844  = π·t/6 - π/2  

-0.2329 = π·t/6 - π/2  

t = 2.55 or 12 - 2.55 = 9.44

Which is either after the second and before the third month or after the ninth and before the 10th month.

In this exercise we have to use the function knowledge to calculate the temperature that is requested in each alternative, so we have to:

a. The answer is in the scatter plot  

b. The minimum is 67°F

c. The maximum is 106°F

d. The vertical shift is 67°F

e. The amplitude 19.5 °F

f. The frequency is 1/12 months and the period is 12.

h. The sine function equation that models the data set is [tex]19.5sin(\pi t/6 - \pi /2) + 86.5[/tex]

i. After the second and before the third month or after the ninth and before the 10th month

The equation for the sinusoidal variation of temperature with time can be presented as follows;

[tex]y = Asin(Bt + C) + D[/tex]

Where;

The equation that models the data is given by:

[tex]19.5sin(\pi t/6 - \pi/2) + 86.5[/tex]

When the temperature is 82°, we have;

[tex]82 = 19.5sin(\pi t/6 - \pi/2) + 86.5\\82 - 86.5 = 19.5sin(\pi t/6 - \pi/2)\\-4.5\°F = 19.5sin(\pi t/6 - \pi/2)\\sin^{-1}(-4.5/12) = \pi t/6 - \pi /2\\-0.3844 = \pi t/6 - \pi /2 \\-0.2329 = \pi t/6 - \pi /2\\t = 2.55 \ or \ 9.44[/tex]

Which is either after the second and before the third month or after the ninth and before the 10th month.

See more about temperature at brainly.com/question/15267055

Answer:

yes, these ratios are proportional.

Step-by-step explanation:

yes they are! proportional ratios are like equivalent fractions.

10/12 is equal to 5/6

15/18 is also equal to 5/6

Answer:

I think that the answer is C) or the last one

I think it's the second one

Answer:

its B

Step-by-step explanation:

Answer:

C=7(p)

Step-by-step explanation:

Answer:

c=7p

p=pounds

c=costs

Answer:

the greatest common factor is B - 1

Step-by-step explanation:

not 5 because 85 doesn't end with 0 or 5

not 3 because 5+0 doesn't equal a multiple of 3

not 2 because 45 is odd

not 0 because that's never an answer

Answer:

f − 1 (x ) = x/6 + 5/ 6

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Because 84% out of 50 is 42

Answer:

  5×10^-7

Step-by-step explanation:

The most significant digit (5) of the number 0.00000051 is in the 7th place to the right of the decimal point. The power of 10 associated with that decimal place is -7.

   0.00000051 m ≈ 5×10^-7 m

Answer:

27*2/3=18

18*2/3=12

Step-by-step explanation:

I would look at the ratio of two terms

and the difference of two terms

to see if there might be a pattern

for example, 27, 18, 12

the difference between 27 and 18 is 9

the difference between 18 and 12 is 6

That is not a constant difference.

Let's try ratios:

27/18 = 1.5

18/12 = 1.5

that looks promising... we get the same ratio

so on the next bounce, expect

18/x = 1.5

maybe it's easier if we flip the ratio 1.5 (3/2) to 2/3 and so

18= 2/3 * 27

12= 2/3* 18 = 2/3 * 2/3 * 27

If we try to make a pattern

first peak = (2/3)^0 * 27

2nd peak = (2/3)^1 *27

3rd peak = (2/3)^2 * 27

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

x=12

Step-by-step explanation:

first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.

Answer:

$150

Step-by-step explanation:

A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.

Let [tex]x[/tex] = the cost of the bench.

Again, since the cost of the garden table is three times the cost of the bench ([tex]x[/tex]), we can represent the garden table as three times [tex]x[/tex] ([tex]3x[/tex]). These two terms will equal $600 when added, so let's formulate an equation:

[tex]3x+x=600[/tex]

Combine like terms:

[tex]4x=600[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:

[tex]x=150[/tex]

_

Check your work by substituting [tex]150[/tex] into the original equation:

[tex]3(150)+(150)=600[/tex]

[tex]450+150=600[/tex]

[tex]600=600[/tex]

Our answer is correct!

Answer:

r=-15/4

Step-by-step explanation:

Answer:I think it’s b

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x > 15         2x > 12        x + 1 < 8             7x < 42

/3     /3        /2     /2            -1     -1             /7     /7

x > 5              x  > 6              x < 7                x < 6

Answer:

Step-by-step explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1). [tex]c=-\frac{3}{7}x+6[/tex]

   y-intercept of the line → (0, 6)

   x-intercept of the line → (14, 0)

   Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

   Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.

Answer:

y=4x+23

Step-by-step explanation:

sorry  cant choose answer choice ..i ant tell which is which...bu i think you should by now....

i hope this stilled helped

Answer:

72 units

Step-by-step explanation:

a cube has the same length as each edge so because there are 6 sides with 4 edges, and each edge has a length of 3 units, 3 units * 4 edges * 6 sides = 12 total edge length per side * 6 sides = 72 total edge length

Answer:

here man let me is 1 im sure the answer is =((1))

Step-by-step explanation:

6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))

Answer:

1,2 and 5

Step-by-step explanation:

hope, it will help

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:

(3,4): [tex]x_{1}, y_{1}[/tex]

(5,9): [tex]x_{2}, y_{2}[/tex]

Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]

And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].

Answer:

Step-by-step explanation:

18 is negative so add 18 to both sides

2x=8

so the answer would be 4 because

4 x 2= positive 8

hope that helped!!

Answer:  28

Step-by-step explanation:

Let x represent the digit in the tens place and y represent the digit in the ones place.     xy → 10x + y

The square of the sum of the digits is 100.

EQ1: (x + y)² = 100       →    x + y = 10

2 is subtracted from 3 times the number is the digits reversed.

EQ2: 3(10x + y) - 2 = 10y + x    →   30x + 3y - 2 = 10y + x      →     29x - 7y = 2

Solve the system of equations using the Elimination method:

EQ1:      x +  y = 10    →  7(x + y = 10)     →      7x + 7y = 70

EQ2: 29x - 7y = 2     →  1(29x - 7y = 2  →   29x - 7y =  2    

                                                                    36x        = 72

                                                                 ÷36         ÷36  

                                                                            x = 2

Substitute x = 2 into either of the equations to solve for y.:

EQ1: x + y = 10

       2 + y = 10

            y = 8

The digit is: 28

The function has no intercepts.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The x-intercept is the point on the x-axis when y= 0.

The y-intercept is the point on the y-axis when x= 0.

We see that,

There is no point on the x-axis or y-axis that the graph is touching.

So,

We can say that,

There are no x-intercepts and y-intercepts.

Thus,

The function has no intercepts.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]

However, -  × - equals +

[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]

Answer:

Hi there!

The domain is:

20<=x<=40

Step-by-step explanation:

18$ per hour

x is hours worked

The domain is:

20<=x<=40

This says that:

x=>20

x<=40

Which fits the problem!

Hope this helps

Answer:

an inverse function (or anti-function) is a function that "reverses" another function

Step-by-step explanation:

Answer:

an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.

Answer:

D

Step-by-step explanation:

The formula matches up with the sequence. If you want to find f2 you look to f1 which is 8. Then you subtract by 2. This means to get f1, f0 would have to be 10 because 10-2 is 8.