A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature


Which linear function does the graph represent?

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Answer:

960 would be correct becasue it says it in the problem.

Answer:

4

Step-by-step explanation:

In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.

Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

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Answer:

s < 28

Step-by-step explanation:

Answer:I believe it is 2.4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,

So, the equation =

n = 5÷1/8

n = 40

Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

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Answer:

They are parallel, they will never intersect.

Step-by-step explanation:

Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

10,091 because it's a 10 season football season and he spends 9 dollars every game

Step-by-step explanation:

ez

The opportunity cost of playing football for Graham is $1,190.

The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.

Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.

Therefore, the opportunity cost of playing football for Graham is,

Opportunity cost

= Amount that Graham would have made in a part-time job +  Total cost of playing football season

= $1,100 + (Number of games × Amount spend in a single game)

= $1,100 + (10×$9)

= $1,100 + $90

= $1,190

Hence, the opportunity cost of playing football for Graham is $1,190.

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Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

Answer: -6a-15b+12y+6

Step-by-step explanation:

Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago

Step-by-step explanation:

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

Answer:

5

Step-by-step explanation:

Answer: I need to see the graph

Step-by-step explanation:

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

Answer:

You have to have the number of items you paid for and know what numbers you're calculated at checkout.

Answer:

D. The hot-air balloon... results in a net of zero

Step-by-step explanation:

Thanks for the points my guy :)

have a great day

Answer:

canberry

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

Answer:

y = 3x

Step-by-step explanation:

A proportional relationship should be represented by an equation in this format:

y = kx

Answer:

I think the answer is 43

Step-by-step explanation:

Because b=83

The total value of triangle angles =180

So 54+83=137

180-137=43

Answer:this did not work for me

Step-by-step explanation:

Answer:

um Yess?

Step-by-step explanation:

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Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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