Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
Answer:
There was a 24% decrease
Step-by-step explanation:
Percentage decrease = (final season's score - semi-final score) / semi final score x 100
×100
× 100 = -24%
Let's call the original amount of money x.
We know that she has 2/5 of the original amount left, and that this is equal to $15.
Therefore, 2/5(x) = 15, and x = $37.50.
Answer:
2.62 seconds
Step-by-step explanation:
Let
t ----> the time in seconds
h(t) ----> he height of the ball, in feet
we have

we know that
When the ball hits the ground, the height is equal to zero
so

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
therefore
The solution is t=2.62 seconds
Answer:
The amount of white paint Jen used to paint the walls in her room is:
Step-by-step explanation:
To solve the exercise you only have to pay attention to the statement, in the section that says that 4/5 parts of the total painting is blue, therefore, if 1 is the total painting, you must do a subtraction:
Since the remaining white paint is 1/5 of the total, you have two ways to solve the exercise: multiply the total paint (8.2 pints) by 1/5 or divide the number by 5, as shown below:
- <u>Amount of white paint = 8.2 pints * (1/5) = 1.64 pints.
</u>
- <u>Amount of white paint = 8.2 pints / 5 = 1.64 pints.
</u>
As you can see, the two methods provide a <u>value of 1.64 pints, which corresponds to 1/5 of the total paint and is the amount of white paint used</u>.