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Crank
3 years ago
14

Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground? Use the formula h(t)=−4.9 t 2 + v o

t+ h o , where v o is the initial velocity and h o is the initial height. Round to the nearest tenth of a second.

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
7 0
That's the best I could do. I hope it helped

storchak [24]3 years ago
7 0

Answer: 3.8

Step-by-step explanation:

your suppose to round (btw do u have the rest of this test answers yet because i need them too)

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What is the value of 4*(-1+2-3+4-3+6-7+....+100) Show your work. [Pls help I am really drowning in work. 50 points + brainliest
KengaRu [80]

Answer:

200

Step-by-step explanation:

We have:

4(-1+2-3+4-5+6-7...+100)

We can rearrange the numbers to obtain:

4((-1-3-5-7-...-99)+(2+4+6...+100))

From the left, we can factor out a negative. So:

4(-(1+3+5+7+...+99)+(2+4+6...+100))

In other words, we want to find the sum of all the odd numbers from 1 to 99.

And the sum of all the even numbers from 2 to 100.

Let's do each one individually:

Odd Terms:

We have:

(1+3+5+7+...+99)

We can use the arithmetic series formula, where:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term.

Since it's all the odd numbers between 1 and 99, there are 50 terms.

Our first term is 1 and our last term is 99. So, the sum of all the odd terms are:

S=\frac{50}{2}(1+99})

Divide the fraction. Add within the parentheses:

S=25(100)

Multiply:

S=2500

So, the sum of all the odd terms is 2500.

Even Terms:

We have:

(2+4+6+...+100)

Again, we can use the above formula.

Our first term is 2, last term is 100. And since it's from 2-100, we have 50 even terms. So:

S=\frac{50}{2}(2+100)

Divide and add:

S=25(102)

Multiply:

S=2550

We originally had:

4(-(1+3+5+7+...+99)+(2+4+6...+100))

Substitute them for their respective sums:

4(-(2500)+2550)

Multiply:

4(-2500+2550)

Add:

=4(50)

Multiply:

=200

So, the sum of our sequence is 200.

And we're done!

Note: I just found a <em>way</em> easier way to do this. We have:

4\cdot(-1+2-3+4-5+6-7+...+100)

Let's group every two terms together. So:

=4((-1+2)+(-3+4)+(-5+6)...+(-99+100))

We can see that they each sum to 1:

=4((1)+(1)+(1)+...+(1))

Since there are 100 terms, we will have 50 pairs, so 50 times 1. So:

=4(50)

Multiply:

=200

Pick which one you want to use! I will suggest this one though...

Edit: Typo

8 0
3 years ago
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sal
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Answer:You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?

Step-by-step explanation:

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2 years ago
Find the slope of the line that passes through (9, 10) and (1, 13) .
erik [133]

Answer:

-3/8 is the slope of the line

Step-by-step explanation:

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2 years ago
A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the
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Answer:32,000ft^3

Step-by-step explanation:

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2 years ago
Which function is the inverse of f(x) = 2x + 3?
Gnesinka [82]

Answer:

f(x inv)=-1/2x-3

Step-by-step explanation:

You pretty much just have to flip all the numbers to fractions and all the positives to negatives.

6 0
3 years ago
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