on December 24, 1924 the temperature in Fairfield Montana fell from 63°f at noon to -21°F at midnight what was the average temperature change per hour

Answers

Answer 1

Answer: Average temperature change can be found through the equation
Avg Temp change per hour=Total temperature change ÷ Total time
=84÷12
=7
Since the temperature was decreasing, make the 7 negative
-7

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Which expression is not equivalent to -4x^3+x^2-6x+8?a) x^2(-4x+1)-2(3x-4)
b) x(-4x^2-x+6)+8
c) -4x^3+(x-2)(x-4)
d) -4(x^3-2)+x(x-6)

Answers

Answer:

option b is not equal to the given polynomial

5 times a number increasedby 18 is the same as 36 more
than times 4 times the
number. Find the number.

Answers

Answer:

Step-by-step explanation:

Let's make this information into an equation.

We'll use 'x' whenever the problem says "a number".

Equation:

5x + 18 = 36 + 4x

How did I get to this equation?

5 times a number means 5 multiplied by x
increased by 18 means to add 18
is the same as means equals
36 more than means to add 36
4 times the number means 4 multiplied by x

Now, let's solve.

Solve:

5x + 18 = 36 + 4x

Subtract 18 on both sides:

5x + 18 = 36 + 4x

-18 -18

5x = 18 + 4x

Subtract 4x on both sides:

5x = 18 + 4x

-4x -4x

x = 18

Therefore, "the number" is 18.

Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time

Answers

Answer:

The ball will bounce to 2.07 feet after 4th drop.

Step-by-step explanation:

Bradley dropped a ball from a roof 16 feet high. So, its the initial height.

Each time the ball hits the ground it bounces 3/5 the previous height.

Means after 1st drop, the ball will again rise to $(3)/(5)*16= 9.6$ feet.

Similarly after 2nd drop, it will bounce to $(3)/(5)*9.6=5.76$

After 3rd drop, it will bounce to $(3)/(5)*5.76=3.456$ feet

After 4th drop, it will bounce to $(3)/(5)*3.456=2.0736$ feet

Hence, the ball will bounce to 2.07 feet after 4th drop.

Answer: 2.0736 ft

Step-by-step explanation:

Bounce 1: 16*3/5=9.6

Bounce 2: 9.6*3/5=5.76

Bounce 3: 5.76*3/5=3.456

Bounce 4: 3.456*3/5=2.0736

Jack got the expression 7x + 1 and then wrote his answer as 1 + 7x. Is his answer an equivalent expression? How do u know? Explain using extended vocabulary

Answers

Yes, it is an equivalent expression because even though you move two pieces of an equation it will still equal the same thing, unless there are parentheses involved.

7x + 1 is composed by + 7x and + 1

1 + 7x is composed by + 1 and + 7x

So
7x + 1 = 1 + 7x

If 50% of an item is $34.00, what is the original price?