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melamori03 [73]
3 years ago
14

Can someone plz help me with this

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0
I’m not sure that this is 100% right but i would do tan37° x 12 to get: -10.1
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-16t squared + 16t + 480 t=time after jumping in seconds h=height in feet How many seconds did did it take her to hit the water
Agata [3.3K]
That is height
h=16t^2+16t+480
when h=0 is when it hits the water

0=16t^2+16t+480
undistribbute 16 for ease
0=16(t^2+t+30)
16*0=0 so assume
t^2+t+30=0
factor
(t+6)(t-5)=0
set to zero

t+6=0
minus 6
t=-6
false, since you cannot have negative time

t-5=0
add 5
t=5

at t=5 she hits the water


5 seconds
4 0
3 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
Learn with an example
Daniel [21]

Answer: 10,000

11 * 2 = 22

5,000 * 2 = 10,000

4 0
3 years ago
Somebody please help so I can pass, please
ASHA 777 [7]
First, we are going to find the vertex of our quadratic. Remember that to find the vertex (h,k) of a quadratic equation of the form y=a x^{2} +bx+c, we use the vertex formula h= \frac{-b}{2a}, and then, we evaluate our equation at h to find k.

We now from our quadratic that a=2 and b=-32, so lets use our formula:
h= \frac{-b}{2a}
h= \frac{-(-32)}{2(2)}
h= \frac{32}{4}
h=8
Now we can evaluate our quadratic at 8 to find k:
k=2(8)^2-32(8)+56
k=2(64)-256+56
k=128-200
k=-72
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
y=a(x-h)^2+k
y=2(x-8)^2+(-72)
y=2(x-8)^2-72
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is y=2(x-8)^2-72
The x-coordinate of the minimum is 8

8 0
3 years ago
Read 2 more answers
Older headstones are often difficult to read due to weathering that has worn away their letters. This is an example of which of
zavuch27 [327]

Answer:

Abrasion

Step-by-step explanation:

Abrasion is the process of scraping or wearing away something. If weathering has worn away the letters, it has been abrasion weathering.      

3 0
3 years ago
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