Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 60°F.
a) Find a function T(t) that models the temperature t hours after death.
b) If the temperature of the body is now 72°F, how long ago was the time of death?
( pls show work, will give Brainliest)

Answer:

x = 3

Step-by-step explanation:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.

[tex](x + 9)(9) = (12 + 6)(6)[/tex]

[tex]9x + 81 = 108[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]

[tex] \huge{ \orange{ \boxed{ \bold{6 \sqrt{5} }}}}[/tex]

EXPLAINATION :

By following the rule in finding the sum or difference of similar radicals

[tex] \green{a \sqrt{c} \: + \: b \sqrt{c} \: = (a + b) \sqrt{c} }[/tex]

Answer:

3.73

Step-by-step explanation:

Answer: D

Step-by-step explanation:

f'(C) = 0 ⇒ There is a critical point here

There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.

Answer:

Yes you are

Step-by-step explanation:

case as) the repeating decimal is 36

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

Simplify

Divide by  both numerator and denominator

therefore

the answer case a) is

The fraction in easyiest form is

case b) the repeating decimal is 136

Let

Multiply x by a power of, one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

-----> irreducible

therefore

the answer case b) is

The fraction in simplest form is

136/999

Answer:

I, III

Step-by-step explanation:

if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27

Answer:

1. 864in^2

2. 331.2581cm^2

3. 201.0619m^2

4. 516.548m^2

5. 2827.4334mm^2

Answer:

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Since 12 inches is one foot, the number has to be a fraction number. The answer is 5/12 feet.

all even numbers

hope it really helps...!!!

Answer:

all even numbers. because when divisible by two there is no reminder

Answer:

-25

Step-by-step explanation:

f(-12) means x = -12

so you just plug it in the equation and solve for x

[tex]f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25[/tex]

Answer:

Profit/Cost Price*100

Step-by-step explanation

Calculated by working out the difference between the cost price and the selling price, which is then divided by the original price and multiplied by 100, giving you a percentage. Cost price is the original price for good which the retailer has bought for.

Answer:

the answer to 33 is 8 7×8=56 or 56÷7

Answer:

24

Step-by-step explanation:

Remark

This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.

Givens

Stars1  6

Moon1 4

Starts2 x

Moon2 16

Formula

stars1/moon1 = stars2/moon2

Solution

6/4 = x / 16         Multiply by 16

6 * 16/4 = x

Answer: 96/4 = 24

A: based on the given dot plot are: statements B, D, and E.

B:  A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.

In a dot plot, frequencies of each data point is represented as dots.

Part A:

Thus, in the dot plot given:

Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).

Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).

One of the player is 68 1/2. (option C is not true).

Four of the players are 74 in. tall (option D is true).

The team has 6 different heights as shown in the dot plot given (option E is correct).

Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.

Part B:

If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.

Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.

Learn more about dot plots on:

https://brainly.com/question/25957672

Answer:

the mean is the middle value of the data set.

Step-by-step explanation:

the mean is the average of all the data, so i would say the last statement is incorrect.

Answer:

the mean is the middle value of a data set

Answer:

23.53%

Step-by-step explanation:

Given :

Solving :

Answer:

= 12 : 18

Step-by-step explanation:

• 18 - 6 = 12

• girls = 12

• total students = 18

• girls to total students

= 12 : 18

Answer:

12:18

Step-by-step explanation:

Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

7.5%

Step-by-step explanation:

Answer:

y = 2x + 9

Step-by-step explanation:

Y = mx + b indicates slope-intercept equation.

"b" represents y -intercept/beginning.

"mx" represent slope/constant of variation/rate of change

x-intercept represents the end of the graph. (in stories using money its the ending amount).

The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,

The y-intercept is 9.

To find the slope, we have to find two points on the graph to use.

Two points on the graph are:

(1.5, 13) , (2, 14)

Using the slope formula:

y2-y1/x2-x1

Plug in:

14-13/2-1.5

Complete:

1/0.5

divide:

The numbers in 1 divided by 1/2 are labeled below:

1 = whole number

1 = numerator

2 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

1 x 2/1  = 2/1

Thus, the answer to 1 divided by 1/2 in fraction form is:

2/1

To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

2 / 1 = 2

The answer is rounded to the nearest two decimal points if necessary.

2/1 is an improper fraction and should be written as 2.

So now that we have the y-intercept and slope:

Y-intercept: 9

Slope: 2

Equation: y = 2x + 9

Terms: Linear Equations 8th Grade

Answer:

Dimensions are nine by nine, the diagonal is the square root of 162.

Step-by-step explanation:

The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.

9^2 + 9^2 = x^2.

The dimensions of the square would be nine by nine, the diagonal is the square root of 162.

The square will have the same width as before, with a height to match, (9,9)

The diagonal can be found using the Pythagorean theory.

9^2 + 9^2 = x^2.

This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

Learn more about Pythagorean Theorem here:https://brainly.com/question/231802

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Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

Answer:

[tex]x=\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{3x}{4} =\frac{7}{4}[/tex]

[tex]\Longleftrightarrow \left( 3x\right) \times 3=7\times 4[/tex]

[tex]\Longleftrightarrow 9x=28[/tex]

[tex]\Longleftrightarrow x=\frac{28}{9}[/tex]

Answer:

The second histogram. and this is because of the arrangement of data which is the puppies

Answer:

I think its A)

Step-by-step explanation:

Answer:

Method 1

[tex]74^x = 37[/tex]

Take natural logs of both sides:

[tex]\implies \ln74^x = \ln37[/tex]

Apply the log power rule: [tex]\ln(a)^b=b \ln (a)[/tex]

[tex]\implies x\ln74 = \ln37[/tex]

Divide both sides by ln 74:

[tex]\implies \dfrac{x\ln74}{\ln74} = \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x= \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x=0.8389552282...[/tex]

Method 1

[tex]74^x = 37[/tex]

Take logs of base 74 of both sides:

[tex]\implies \log_{74}74^x = \log_{74}37[/tex]

Apply the log power rule: [tex]\log_am^n=n\log_am[/tex]

[tex]\implies x\log_{74}74= \log_{74}37[/tex]

Apply log of the same number as base rule: [tex]\log_aa=1[/tex]

[tex]\implies x= \log_{74}37[/tex]

[tex]\implies x=0.8389552282...[/tex]

Answer:

[tex]x = \log_{74}(37) [/tex]

Step-by-step explanation:

we want to solve the following exponential equation:

[tex] \iff {74}^{x} = 37[/tex]

Taking common logarithm of both sides yields:

[tex]\iff \log{74}^{x} = \log37[/tex]

recall that,

utilizing it yields:

[tex] \iff x \cdot\log{74} = \log37[/tex]

divide both sides by log74:

[tex]\iff \dfrac{ x \cdot\log{74}}{ \log(74)} = \dfrac{ \log37}{ \log(74) }[/tex]

remember that,

[tex] log_b( {a} ) = \frac{log(a)}{log(b)} [/tex]

hence,

[tex]x = \boxed{ \log_{74}(37)} [/tex]

Answer:

B I think my bad if its wrong

Answer: the answer is e

Step-by-step explanation: 1 over 6 multiplied by 9 cubes will give 1.5 which is 1 over 2 . 4 cubes are the length and 2 the width and 3 height s o equal 9 . 9 times 1 over 6 equals 1.5 which is the last one. hope it helps buddy .

Please please give brainliest !!! Thanks .

Answer:

[tex]\sf V=\dfrac18\: \sf yd^3[/tex]

Step-by-step explanation:

Volume of a cube formula

[tex]\sf V=s^3[/tex]

where:

Given:

[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]

Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]

[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]

[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]

Volume:-