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maw [93]
3 years ago
14

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim

e could be modeled by the function h(t) = -16tequals -16t ^2 + 16t + 480, where T is the time after jumping in seconds and H is the height in feet how many seconds did it take Rose to hit the water
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = \frac{-1+\sqrt{121} }{-2}

t₁ = \frac{-1 + 11}{-2} = - 5

t₂ = \frac{-11-11}{-2} = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

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A pile of sand has a weight of 90 kg. The sand is put into a small bag,a medium bag and a large bag in the ratio 2 : 3 : 7. What
tekilochka [14]
Hi there:)
Total ratio
2+3+7=12
Now find the weight of sand in each bag

Small bag
90×(2÷12)
=15 kg
Medium bag
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Large bag
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4 0
3 years ago
Read 2 more answers
Identify the domain and range of the inverse of f(x) = 0.5^x.
LekaFEV [45]

Answer:

Domain  (0, ∞)  and Range (-∞, ∞).

Step-by-step explanation:

The domain of f(x) = 0.5^x is all values of x and the range is f(x)>0  as  0.5^x  cannot be negative or zero.

In interval form this is Domain is (-∞, ∞) and Range is  (0, ∞).

So its inverse has Domain  (0, ∞)  and Range (-∞, ∞).

4 0
3 years ago
Express the following numbers in standard form. [A] 509.78 [B] 0.0289 Can someone please help me ? I need to answer that questio
STALIN [3.7K]

Answer:

(A) 509.78

We need to move the decimal point after the first non-zero digit

So,

=> 5.0978 × 10² (Since the decimal point is moved two places to the left)

(B) 0.0289

Again after the first non-zero digit:

So, it becomes:

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8 0
3 years ago
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Find the slope of the line.<br><br><br> please help<br><br><br> will mark brainlyest
Mamont248 [21]

Answer:

m = 1

Step-by-step explanation:

slope = (y₂-y₁)/(x₂-x₁)

m = (4 - -1) / 1 - -4) = 5/5 = 1

5 0
3 years ago
Pls help<br><br> Multiply. write the result in scientific notation<br><br> (1.7*10^-4)(5*10^-5)
kramer
Do the exponents first. 10 to the -4 is 1/10000 or 0.0001 and 10^ -5 is 0.00001. You end up with (1.7*0.0001)(5*0.00001) which is 0.00017*0.00005 which is 0.0000000085 or 0.085*10^-8
5 0
3 years ago
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