344 students, 326 students present what percent was present

. An object dropped from a height of 200 meters has a height, h(t), in meters after t seconds have lapsed, such that h(t) = 200

Veronika [31]

Answer:

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Step-by-step explanation:

To express t as a function of height (h) we must transform the equation below:

h=200-4.9t

h-200=-4.9t

(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

t(h)=50-200/-4.9

t(h)= 30.612

The time to reach a height of 50 meters is 30.6 seconds

8 0

3 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$

Solve for n. Combine like terms on the left:

$6n+6=114$

Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0

3 years ago

Read 2 more answers

Factor over the complex numbers, if possible: x² + 2xyi - y2<br><br> What is the answer?

yanalaym [24]

9514 1404 393

Answer:

(x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

(a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

x² +2xyi +(yi)² = (x +yi)²

8 0

3 years ago

Which equation represents an inverse variation? y = 2x y = x/3 y =4/x y = –5x

Marizza181 [45]

First of all, you should know that:
direct variation:
y = c * x
Inverse variation:
y = c / x
where, c is any number that belongs to the real ones.
answer:
An equation that represents an inverse variation is
y = 4 / x

7 0

3 years ago

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco

Mars2501 [29]

Answer:

Mortgage option (3) would be best suited for them.

Step-by-step explanation:

Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.

Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.

6 0

3 years ago