A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees

Answer:

  32

Step-by-step explanation:

  [tex]\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}[/tex]

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The applicable rules of logarithms are ...

  log(ab/c) = log(a) +log(b) -log(c)

  log(a^b) = b·log(a)

Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°

Answer:

h

Step-by-step explanation:

The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).

We need to find the equation of the line that passes through P.

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.

Here, the slope of the equation is 3.

The equation of the line that passes through P and is perpendicular to PQ is -1/3.

Now, 10=-1/3(6)+c

⇒c=12

Thus, y=-1/3x+12

Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

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Answer:

jsjjsjejehehhejejejejejejejejjejrjejrjr

Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06

Answer:

D

Step-by-step explanation:

multiplying the day with 54 gives you its amount earned

Answer:

n = 8.2

Step-by-step explanation:

54 - 13 = 41

5n = 41

41/5 = 8.2

n=8.2

Answer:

3.4

Step-by-step explanation:

5x=12x-28

28=12x-5x

28=8x

28÷8=3.4

Answer: C.

Step-by-step explanation: if you add 25.50 to every number it makes sense, since the decimal went from .25 to .75.

Answer:

Step-by-step explanation:

10 inches

Answer:

68.5 inches

Step-by-step explanation:

The pythagorean theorem is a^2+b^2 = c^2

In this case, a = 60, b = 33, and we are looking for c, so this is how you do it:

60^2 + 33^2 = 3600 + 1089 = 4689

sqrt(4689) = 68.47627326...

Rounded to the nearest tenth is 68.5!

Step-by-step explanation:

There ya go my laddie. enjoy.

Answer:

1. 8v^4 + 6v^2

2. -7n - 3

3. 2a^3 - 6a

4. -2x^4 + 8x

Step-by-step explanation:

you remove the parentheses, group( or put )the terms together, then combine the like terms, and you'll get your answers.

Answer:

3.444

Step-by-step explanation:

3.444

Answer: 1 Red Block

Step-by-step explanation:

2:8 is the existing ratio shown in the graph. And so I think if we divide both sides by 2 we get 1:4 which is what we want. So we take the 1 part which is red. 1 Red Block.

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

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Answer:

1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.

2.) The product of 5 and 1/2  is less than 5, this is because you are multiplying 5 by a number less than one.

Step-by-step explanation:

If multiplied by a number less than one then it will be smaller than original

If multiplied by one will be the same as original

If multiplied by a number greater than one it will be greater than original

Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

Answer: 7.7%

Step-by-step explanation:

1. 352 - 325 = 27. This is how many students left.

2. x/100 = 27/352 is the equation.

3. Solve for x: 2700/352 = x = 7.6704

This rounded to the nearest tenth is 7.7%

Answer: The picture is the answer to your question

Jawab:

A

Penjelasan dengan langkah-langkah:

jari jari : 10 cm

t = 1570/3,14 x 102

t = 5 cm

Answer:

n=56 is the correct answer

3×14=42 so,

4×14=56

:)

Answer:

Well, you would need to divide 44 by the numbers you have so 44/4=11

Answer:

Yes, it is

Step-by-step explanation:

It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

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The value of expression for x > 5 is,

⇒ x + 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Expression is,

⇒ |x + 3|

if x > 5

Now, For  x > 5;

Expression is,

⇒ x + 3

At x = 5;

⇒ 5 + 3

⇒ 8

Thus, The value of expression for x > 5 is,

⇒ x + 3

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Answer:

Step-by-step explanation:

7) The tangent angles are 90° each.

The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.

8)  Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.

Questions 9) and 10) are cut off, so I assume you don't need to know those.