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Dominik [7]
3 years ago
11

Write 219,000,000 in scientific notation

Mathematics
1 answer:
Korvikt [17]3 years ago
6 0
2.19 • 10^8. You first make a number in between 1-10, so it would be 2.19, then you count how many 0s there are behind your numbers and how many numbers are behind the decimal point, so that would be 6 0s and 2 numbers behind decimal point so then you get 10^8.
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The Apollo's chariot, a rollercoaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represente
GREYUIT [131]

Answer:

169.39 feet.

Step-by-step explanation:

We have been given that the Apollo's chariot, a roller coaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation h(t)=-16t^2+101t+10. We are asked to find the maximum height that the ride can reach.

To  find the maximum height that the ride can reach, we need to find y-coordinate of vertex of parabola because our given equation is downward opening parabola and its maximum point will be the vertex.

First of all, we will find x-coordinate of vertex using formula \frac{-b}{2a}.

\frac{-101}{2(-16)}=\frac{101}{32}=3.15625

Now, we will substitute t=3.15625 in our equation to find y-coordinate of vertex as:

h(3.15625)=-16(3.15625)^2+101(3.15625)+10

h(3.15625)=-16(9.9619140625)+101(3.15625)+10

h(3.15625)=-159.390625+318.78125+10

h(3.15625)=169.390625

h(3.15625)\approx 169.39

Therefore, the ride will reach to a maximum height of 169.39 feet.169.39 feet.

8 0
4 years ago
Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
Will give Brainliest
OLEGan [10]

Answer:

What is the question?

8 0
3 years ago
How do I do this I don’t know where to start
seropon [69]
This is simple pythagoras, its just a²+b²=c². First you find the hypotenuse, which is 97; now you have the equation: x²+72²=97²
x²=9409-5184
x= √4225
x=65
the answer is 65m
8 0
3 years ago
Read 2 more answers
A diagram of a hockey rink is shown below. The diameter of the middle circle is 30 Feet. What is the area of the middle circle?
Tatiana [17]
The formula of the area of the circle is 
Area = pi * (d/2)^2

So using the formula,
Area = 3.14 * (30/2)^2
Area = 3.14 * 15^2
Area = 706.5 ft^2

So the area of the hockey rink is 706.5 ft^2
8 0
3 years ago
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