Rewrite the following equation in slope-intercept form.
17x + 18y = -6

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         [tex]H= f(t)[/tex]

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        [tex]|f(35)'| =  1.5[/tex]

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         [tex]|f(35)| =  68[/tex]

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  [tex]\frac{30}{60}= 0.5 \ minutes[/tex] the  rate  of change of the temperature of the cup of  coffee is  

          [tex]R =  |f(35)'| *  t[/tex]

=>        [tex]R = 1.5  *  0.5 [/tex]

=>        [tex]R = 0.75  [/tex]    

So

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.  

The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

The units of  f'(35) = degC/min.

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.

1. The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

2. What are the units of f'(35)?

The units of  f'(35) = degC/min.

3. At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

At ║f'(35)║ = 1.5 and f'(35) = 68

|f'(35)| = 1.5 represents the rate of change of temperature every 35 minutes = 1.5.

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Answer:

42

Step-by-step explanation:

To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.

84 ÷ 56 = 1.5

1.5 is how much human body weight there is as a unit rate over 1-kg of water.

1.5 x 56 = 84, so this shows we are correct.

84 ÷ 1.5 = 56, so that goes even further to prove you are correct.

Now, what's the amount of water in a 63-kg person?

1.5 is the unit rate we found out was used, so it should still be proportional.

63 ÷ 1.5 = 42.

Indeed, it is proportional. You are correct.

The answer is 42.

There is 42 kg of water in a 63 kg person.

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

Example:

2x = 4 is an equation.

We have,

The number of kilograms of water in a human body varies directly with the mass of the body.

This means,

W ∝ M

Where W is the kg of water and M is the mass of the body.

Now,

W = KM

W = 56 kg

M = 84 kg

So,

56 = 84K

K = 56/84

Now,

For M = 63,

W = KM

W = 56/84 x 63

W = 42

Thus,

There is 42 kg of water.

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Answer:

6x−16

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

since there are 304 goumballs and a box can only fit one hundred the question says how many boxes will be COMPLETELY full

Answer:

3 boxes

Step-by-step explanation:

304÷100=3.04

Answer: 21 cupcakes and 33 cookies were sold.

Step-by-step explanation:

Let x= Number of cupcakes

y = Number of cookies

As per given,

x+y= 54       (i)

Cost: 2.25x+0.25y=55.50          (ii)

Multiply 0.25 to (i0, we get

0.25x+0.25y = 0.25(54)

⇒0.25x+0.25y = 13.5         (iii)

subtract (iii) from (ii), we get

2x=42

Divide both sides by 2, we get x= 21

Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33

Hence, 21 cupcakes and 33 cookies were sold.

Answer:

An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

Step-by-step explanation:

We know that :

[tex]a_x=\frac{dv_x}{dt}[/tex]

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]

So, We will use chain rule over here :

[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]

Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]

Here we used the chain rule:

It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).

So,

[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]

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Answer:

5.7, 4.6, 5.6, 6.7

Step-by-step explanation:

Answer:

2.63+3.07= 5.7

9.4-4.8= 4.6

3.92+1.68= 5.6

8.5-1.8= 6.7

Answer:

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

Answer:

76.2

Step-by-step explanation:

Use a calculator or chart to find the z-score associated with the probability.

P(Z > z) = 0.02

P(Z < z) = 0.98

z = 2.054

Find the height.

z = (x − μ) / σ

2.054 = (x − 70) / 3

x = 76.2

Answer:

D

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

Answer:

A. 420

Step-by-step explanation:

nice

Answer: i needed this question too!

Answer:

I think its 232.5

Step-by-step explanation:

Divide 3 by one then multiply that by 15.

Answer:

how much does he make in a hour

Step-by-step explanation:

Answer:

104185

Step-by-step explanation:

Answer:

104,185

Step-by-step explanation:

Given problem:

   Which value cannot represent the probability of an event occurring?

      Values:

            [tex]\frac{1}{100}[/tex]    0.29    [tex]\frac{85}{100}[/tex]   Three-halflity

Probability is the likelihood of an event to occur.

For an event that we are sure of occurring, the probability value is 1, and those that cannot occur have a probability value of 0.

  The probability of any event is usually a fraction between 1 and 0.

So we can see that the odd one is the  Three-halflity which is clearly greater than 1.

Answer:

D 3/2

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

all you have to do is count and add i took the test before

Answer:

n=14

Step-by-step explanation:

Answer:

Is that the question? I don't think it is

Answer:

-1/2(-2x+4y)=

x-2y

Answer:

4440,000 and 44.400,000

Step-by-step explanation:

All you do is add another zero to the end

Answer:

There are 720 possible sequences of assembly that must be tested.

Step-by-step explanation:

We are given that;

No. of wires needed to be attached to a circuit board = 6

We want to find the number of possible sequences of the assembly that must be tested.

From multiplication rule of counting;

Number of possible sequences of the assembly = 6!

1st selection of wire = 6 possible choices

2nd selection of wire = 5 possible choices

3rd selection of wire = 4 possible choices

4th selection of wire = 3 possible choices

5th selection of wire = 2 possible choices

6h selection of wire = 1 possible choice

Thus,

number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, there are 720 possible sequences of assembly that must be tested.

Answer:

Step-by-step explanation:

Answer: 0.018 or not simplified: 0.01843317972

     0. 0 1 8

2 1 7 4. 0 0 0

   − 0      

     4 0    

   −   0    

     4 0 0  

   − 2 1 7  

     1 8 3 0

   − 1 7 3 6

         9 4

Answer:

8<x<9

Step-by-step explanation

Answer:

a. Whether the student attended a workshop.   Neither

b. Number of workshops attended.  Explanatory variable

c. Whether the student passes the course. Response variable

Step-by-step explanation:

In a given experiment, the response variable addresses the core of the question that was asked. In the experiment above, we are trying to determine the passing rate. That is the response variable. The explanatory variable provides an explanation for the response.

The number of workshops attended by the students would provide an explanation of their passing rates.  Whether the student attended a workshop is not a consideration in the experiment, because it is believed that they would attend the workshop.

Answer:

25

Step-by-step explanation:

Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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Answer:

= 13

Step-by-step explanation:

Use direct substitution:

2(4)+5 = 13