I need to find the value of x

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

[tex]\frac{dQ}{dt}=\alpha.A.(T_{s}-T)[/tex]

This differential equation solved, gives the solution:

[tex]T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}[/tex]

where

[tex]T_{s}[/tex] is temperature of the environment

[tex]T_{0}[/tex] is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

[tex]27=22+(28-22)e^{-1k}[/tex]

[tex]5=6e^{-k}[/tex]

[tex]e^{-k}=\frac{5}{6}[/tex]

[tex]ln(e^{-k})=ln(0.834)[/tex]

k = 0.1823

Using the parameter, find estimate time:

[tex]28=22+(37-22)e^{-0.1823t}[/tex]

[tex]6=15e^{-0.1823t}[/tex]

[tex]ln(e^{-0.1823t})=ln(0.4)[/tex]

0.1823t = 0.9163

[tex]t=\frac{0.9163}{0.1823}[/tex]

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

Answer:

a. 60° it is opposite the other 60° angle

b. 120° it is supplementary with the 60° angle

c. 120° it is supplementary with the 60° angle

Answer:

3.2, 12.5

Step-by-step explanation:

Answer:

A = 3x³ - 22x² + 30x - 36

Step-by-step explanation:

Area of a Rectangle: A = lw

Step 1: Define

l = 3x² - 4x + 6

w = x - 6

Step 2: Substitute and Evaluate

A = (3x² - 4x + 6)(x - 6)

A = 3x³ - 4x² + 6x - 18x² + 24x - 36

A = 3x³ - 22x² + 30x - 36

Answer:

The expression is not factorable with rational numbers.3x2-4x+6

Step-by-step explanation:

     So its the 2nd one 3х3 – 4х2 + 6x

                    Hope this helps.      ;P

Answer: 1

Step-by-step explanation:

2000 + (2000-2000)(2000) / 2000

2000 + (0)(2000) / 2000

2000 + 0 / 2000

2000 / 2000

1

Answer:

15

Step-by-step explanation:

20-5=15

Answer:

A)

a) H0: ptrue < 0.7; Ha: ptrue = 0.7

B)

d) 0.64

C)

b) No

Step-by-step explanation:

Hypothesis is a technique which is used to test the event against an alternative hypothesis. The null hypothesis is set as a basis which is tested against an alternative hypothesis to make a conclusion. This null hypothesis is analysed against a probability using significance level and then a conclusion is made to accept or reject the null hypothesis.

Answer:

Step-by-step explanation:

1 1/2 cup of sugar is needed for a full batch

To make 2/3 of a batch sugar is needed:

Answer:

7

Step-by-step explanation:

Answer: Sorry doesn't really show anything of pdf...

Step-by-step explanation: I will help but it's not showing or it's just me!?

Answer:

26.039

Step-by-step explanation:

2*10+6*1+3*(1/100) + 9 * (1/1000) =

2*10+6*1+3*0.01 + 9 * (1/1000) =

2*10+6*1+3*0.01 + 9 * 0.001 =

20+6*1+3*0.01 + 9 * 0.001 =

20+6+3*0.01 + 9 * 0.001 =

20+6+0.03 + 9 * 0.001 =

20+6+0.03 +0.009 =

26+0.03 +0.009 =

26.03 +0.009 =

26.039

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

[tex]\frac{f(5.1)-f(5)}{5.1 - 5}[/tex] = [tex]\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}[/tex]   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Answer:

2x+16

Step-by-step explanation:

2(x+7)+2 = (f⋅g)(x)

2x+14+2=

2x+16= (f⋅g)(x)

Answer:

Consider one of eight positions separately from all others. There are 10 possible ways to choose

a digit to place on this position since there are ten digits from 0 to 9, and this choice is

independent of all other positions since each digit can be repeated and there is no restriction on

how to choose digits.

So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,

therefore the total number of possible codes equals to ways it can be done for each independent

position multiplied altogether. This is 10 × 10 × … × 10 = 108

(100 million).

Answer: 108 different codes.

Step-by-step explanation:

Answer:

a

start at the (0,-4) and go up 3 and over one.  answer "A" fits this criteria

Answer:

Step-by-step explanation:

We observe that first differences of the given numbers are ...

  10 -3 = 7

  24 -10 = 14

  52 -24 = 28

That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.

We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.

Then our recursive relation is ...

  f[1] = 3 . . . . the first term

  f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4

The next term is 2·52 +4 = 108.

Answer:

Domain: {  3 , 4 , 5 , 6 }

Range:  { 0 , 1 , 2 , 3 }

Step-by-step explanation:

The domain is the set of all the values of  x . The range is the set of all the values of  y .

The range is set of all y values so the range is {0,1,2,3}.

For the domain, it's the set of all x values.

Answer:

y = -4/3x +4

Step-by-step explanation:

6y + 8x = 24

Subtract 8x from each side

6y + 8x-8x = -8x+24

6y = -8x+24

Divide each side by 6

6y/6 = -8x/6 +24/6

y = -4/3x +4

Answer: 2

Step-by-step explanation: x^2+8/x^2-5x+6 =  x4 - 5x3 + 6x2 + 8 /x^2=2

Find roots (zeroes) of :       F(x) = x4 - 5x3 + 6x2 + 8

    See theory in step 3.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        20.00      

     -2       1        -2.00        88.00      

     -4       1        -4.00        680.00      

     -8       1        -8.00        7048.00      

     1       1        1.00        10.00      

     2       1        2.00        8.00      

     4       1        4.00        40.00      

     8       1        8.00        1928.00    

2    

Answer:

thankyoupinkpigforanswers

Step-by-step explanation:

alsokeyboardbroke:(

Your Answer will be:

The ship from the shore is 250 Km away by most direct path.

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Base= 240

Perpendicular= 70

so, distance between ship from shore by the most direct path

= √70² + 240²

=√ 4900+ 57600

= √62500

= 250

Hence, The ship from the shore is 250 Km away by most direct path.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Answer:

Step-by-step explanation:

Radius of a tub = 4 feet

Number of tubs = 250

Total area

Cost of material  

Answer:

Step-by-step explanation: 2,000 blocks  o hundreds 50 tens 9 ones

2,000+0+50+9

Answer:

Hi I'm Euijin :D

Welcome to Brainly

The Answer is

2059.0 and (2000,50,9)---------------------------

Answer:

7054.792 rounded to the nearest whole it will be 7055

Step-by-step explanation:

The required converted value is 7054 pounds, which is 3200 kilograms into pounds.

As we all know, unit conversion is the process of transferring a quantity from one unit of measurement to another.

To convert kilograms to pounds, you can use the conversion factor: 1 kilogram = 2.20462 pounds.

It is the process of multiplying a given quantity by a conversion factor that combines the two corresponding units.

To convert 3200 kilograms to pounds, you can multiply it by the conversion factor:

3200 kilograms x 2.20462 pounds/kilogram ≈ 7054.08 pounds

Rounding this to the nearest whole number, the conversion is approximately 7054 pounds.

Learn more about the unit conversion here:

brainly.com/question/3810064

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Answer:

- 25

Step-by-step explanation:

Step 1:

3/5m = - 15      Equation

Step 2:

m = - 15 ÷ 3/5     Divide

Step 3:

m = - 15/1 × 5/3       Multiply

Answer:

m = - 25

Hope This Helps :)

Answer:

m=-25

Step-by-step explanation:

To solve, make the variable "m" by itself. To do that, multiply the fraction "5/3" (or divide 3/5) to both sides.

3/5(5/3)m=-15(5/3)<--- 3/5 and 5/3 are reciprocals and cancel out. -15 times 5/3 equals -25.

m=-25

Answer:

The x-intercept would be (1,0)

Step-by-step explanation:

The point (1,0) is where the line intercepts (or crosses) the x-axis, therefore making it the x-intercept.

Answer:

[tex]1) \frac{4}{5} - \frac{1}{3} + \frac{2}{9} = \frac{4 \times 9}{45} - \frac{1 \times 15}{45} + \frac{2 \times 5}{45} \\ = \frac{36 - 15 + 10}{45} = \frac{31}{45} \\ \\ \\ 2) \frac{1}{2} - \frac{1}{4} + \frac{1}{8} = \frac{4 \times 1}{8} - \frac{2 \times 1}{8} + \frac{1}{8} \\ \frac{4 - 2 + 1}{8} = \frac{3}{8} [/tex]

Answer:

About 90 seats per section.

hope this helps!