The coroner arrives at the scene of a murder at 11 p.m. She takes the temperature of the body and finds it to be 81.7°F. She waits 1 hour, takes the temperature again, and finds it to be 80.2°F. She notes that the room temperature is 67°F. When was the murder committed?

Answer:

exponents

Step-by-step explanation:

Answer:

90 cm, 180 cm, 240 cm

Step-by-step explanation:

Let the lengths of sides of the triangle be 3x, 6x and 8x

[tex] \therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = \frac{510}{17} \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 \times 30 = 90 \: cm \\ 6x = 6 \times 30 = 180 \: cm \\ 8x = 8 \times 30 = 240 \: cm[/tex]

Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.

Hope this will help u..:)

Answer:

Yes

Step-by-step explanation:

Start with the 2(x-y) and distribute the 2 to each term

2(x)-2(y)

This would equal

2x-2y

Which matches the second equation making the answer yes.

The pairs of expressions that are equivalent are:

- [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]

- [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]

- [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]

Let's simplify each expression to see if they are equivalent.

Step 1

1. [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]:

  Simplifying [tex]\( 2(x-y) \)[/tex]:

 [tex]\[ 2(x-y) = 2x - 2y \][/tex]

  Yes, they are equivalent.

Step 2

2. [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]:

  Simplifying [tex]\( 4(x+y) \):[/tex]

 [tex]\[ 4(x+y) = 4x + 4y \][/tex]

  Yes, they are equivalent.

Step 3

3. [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]:

  Simplifying  [tex]\( (3q-p)(7) \)[/tex]:

[tex]\[ (3q-p)(7) = 21q - 7p \][/tex]

  Yes, they are equivalent.

Step 4

4. [tex]\( 4(2a-3v) \)[/tex] and [tex]\( 8a+6v \)[/tex]:

  Simplifying [tex]\( 4(2a-3v) \)[/tex]:

 [tex]\[ 4(2a-3v) = 8a - 12v \][/tex]

  No, they are not equivalent.

Step 5

5. [tex]\( 8(3x+c)-1 \)[/tex] and [tex]\( 8c+24x-1 \)[/tex]:

  Simplifying [tex]\( 8(3x+c)-1 \)[/tex]:

  [tex]\[ 8(3x+c)-1 = 24x + 8c - 1 \][/tex]

  No, they are not equivalent.

Step 6

6. [tex]\( 4p+3c \)[/tex] and [tex]\( (c+2p)(2) \)[/tex]:

  Simplifying [tex]\( (c+2p)(2) \)[/tex]:

[tex]\[ (c+2p)(2) = 2c + 4p \][/tex]

  No, they are not equivalent.

[tex]\( (3q-p)(7) \)[/tex]

Complete correct question:

Determine whether each pair of expressions is equivalent.

2(x-y) and 2x-2y

4(x+y) and 4y+4x

21q-7p and (3q-p)(7)

4(2a-3v) and 8a+6v

8(3x+c)-1 and 8c+24x-1

4p+3c and (c+2p)(2)

Answer:

7/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

The median is 29

There is no mode

The mean is when you add them together will be 387 and then you divide it by 8 which will be equal to 48.375

The range will be 80 I don’t know if this is right

Answer:

0.75

Step-by-step explanation:

A=bh/2

1x1.5=1.5

1.5/2=0.75

Answer:It makes 126 copies.

Step-by-step explanation:

Answer:

29/3

Step-by-step explanation:

You use PEMDAS and do the parentheses first:

(5+24)/3= 29/3

Answer:

29/3

or 9.6666666666666666666666666

Step-by-step explanation:

5+24= 29

then divide by 3

Answer:

[tex]14\frac{17}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{5} (2\frac{1}{4})\\\\\frac{33}{5} (\frac{9}{4} )\\\\\frac{297}{20} = 14\frac{17}{20}[/tex]

Answer:

14  17/20

Step-by-step explanation:

Convert the mixed numbers to improper fractions first.

So 6 3/5 =33/5  and 2 1/4 =9/4

Then multiply 33/5 x 9/4

33 x 9=297  

5 x 4 =20

Then convert 297/20 back to a mixed number by dividing

14 x20 =280

you have 17/20 left

Answer:

2/9=.222

3/5=.6

5/7=.714

Step-by-step explanation:

Answer:

33.6 ounces of rasins (:

Step-by-step explanation:

Answer:

33.6 ounces

Step-by-step explanation:

for every 1 muffin, you need 1.4 ounces... 1:1.4

multiply the ounces for one muffin by the amount of muffins about to be made

1.4 * 24

33.6 ounces of raisins are needed for 24 muffins.

i hope this helped you!

:)

it would mean a lot if you could mark as brainliest :) <3

Answer:

1/8

Step-by-step explanation:

There are 8 slots and only one of them is pink and even

Answer:

1/8

Step-by-step explanation:

theres only one pink nd even one.all the others r different colors and/or odd

THIS IS AN EXAMPLE:

just follow and understand this and hopefully it helps :)

Answer:

20

Step-by-step explanation:

12/6 = 2

2x10=20

Answer:

5.5

Step-by-step explanation:

11/8 = k/4

If you divide from the denominator you have to divide from the nominator

so 11/2=5.5

Answer:

x

Step-by-step explanation:

de nada

Sin A= 1-x² is the correct answer.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here, Sin C = x/1 and therefore Hypotenuse = 1 and perpendicular =x

thus Base=1-x² by phytogaraen theorem.

Thus Sin A=1-x² /1

Hence, Sin A= 1-x² is the correct answer.

Learn more about  Pythagoras theorem here:

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answer:

the answer would be x-6/3, yes

The inverse of the function f(x) = 3x + 6 is f^-1(x) = (x - 6) / 3. This inverse is also a function, as it satisfies the vertical line test.

The inverse of a function f(x) is typically denoted as f-1(x). To find the inverse of the function f(x) = 3x + 6, you follow two main steps: firstly, replace f(x) with y, yielding y = 3x + 6; secondly, swap x and y to get x = 3y + 6 and solve for y to get the inverse function.

Getting the inverse starts by subtracting 6 from both sides of the equation, which gives x - 6 = 3y.

Dividing through by 3 gives (x - 6) / 3 = y, or equivalently, y = (x - 6) / 3. So, the inverse of the function is f-1(x) = (x - 6) / 3.

This inverse is indeed a function as it passes the vertical line test. That is, any vertical line drawn through the graph of this function will touch the graph at no more than one point, showing that for every input x, there is exactly one output y.

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Answer:

[tex]a=p=\frac{1}{6}\\\\b. \ p=\frac{1}{12}\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Step-by-step explanation:

a. A fair dice has 6 sides with unique identities.

-The sample space of one throw is 6 and each face has an equal chance of showing up.

-The probability of a 6 is calculated as:

[tex]p(six)=\frac{1}{6}\\\\or \ =0.1667[/tex]

Hence, the probability of a 6 is [tex]\frac{1}{6}[/tex]

b.A fair die has  6 unique faces.

-Two throws will have a sample space of 12.

-Each face has an equal probability of appearing twice.

-The probability of a 6 on both throws is:

[tex]P(six)=2\times \frac{1}{6}\\\\=\frac{1}{12}[/tex]

c. A coin has 2 sides(head, tail) and a die has 6 sides.

-The total sample space for the simultaneous throw of a coin and die is 12.

-The resultant sample space is :

[tex]1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Answer:

C

Step-by-step explanation:

2 books has the highest rate

2+2+2+2+2+2+2=14

Answer:

c

Step-by-step explanation:

3

Answer:

y=5

Step-by-step explanation:

3(3y-4)=33

9y-12=33

9y=45

y=5

Answer:

y = 5

Step-by-step explanation:

First you need to distribute.

3(3y - 4) = 33

9y - 12 = 33

Then add 12 to both sides.

9y = 45

Now, divide both sides by 9.

Y = 5

Answer:

Its 52.5

Step-by-step explanation:

Change the percent into a decimal like this: 35%=0.35 and multiply 0.35 by 150 to get 52.5. Hope this helps!

Answer:

10(4-10m)

Step-by-step explanation:

You have to find something that can go out of both of the numbers.

10 is the highest that i could find.

So you basically have to put the number on the outside of the racks.

Then divide it.

40-100m

÷10 ÷10

whats left is 4-10m

The variable can't be divided with it since it doesn't have another variable to go with.

The expression '40 - 100m' can be factored by finding a common number, which, for 40 and 100, is 20. On factorizing the expression we get: '-20(2 - 5m)'.

The expression '40 - 100m' can be factored by finding a common number that both 40 and 100 can be divided by. This number is 20, but since we also have -100m, we'll use -20. Therefore, the factored form of '40 - 100m' is '-20(2 - 5m)'. Here is the step-by-step process.

Identify numbers that both 40 and 100 can be divided by evenly; in this case, 20.

Factor out the common number from the original expression, which gives '-20(2 - 5m)'.

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Answer:4+4=8

Step-by-step

Answer:

x = 12

See picture for explanation and steps

Answer:

12

Step-by-step explanation:

These angles are exterior alternate , and thus equal

4x + 16 = 7x - 20

3x = 36

x = 12

Here is what I got. I used the website called desmos. I hope this helped,.,

Answer:

Step 1:  Set x to -1 in the first equation

[tex]f(x) = -x^2 + x[/tex]

[tex]f(-1) = -(-1)^2 + (-1)[/tex]

[tex]f(-1) = -(1) - 1[/tex]

[tex]f(-1) = -1 - 1[/tex]

[tex]f(-1) = -2[/tex]

Step 2:  Set x to -1 in the second equation

[tex]f(x) = -x[/tex]

[tex]f(-1) = -(-1)[/tex]

[tex]f(-1) = 1[/tex]