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In-s [12.5K]
3 years ago
9

A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its r

elease is modeled by y=−16t2−2t+400
. How long will it take for the water to reach the ground? round to the nearest decimal.
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
You’re gonna have to use the quadratic formula here and a bit of thinking. We know y is height, and once it touches the ground, it will be 0.

(-b +- sqrt b^2 - 4ac)/2a
2 +- sqrt(4 + 48(400))/-32
(2 +- 138.58)/-32
We don’t want a negative time because it’ll make no sense. So do subtraction

(2-138.58)/-32 = 4.27 seconds aka 4.3 seconds
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The pet store sells bags of pet food there are 4 bags of cat food one sixth of the bags of food are bags of cat food how many ba
jeka57 [31]
The answer is 4 1/6 because 4/1 + 1/6= 25/6 = 4 1/6.
4 0
3 years ago
the painted lines that separate parking spaces are parallel. The measure of amgle 1 is 60. what us the measure of angle 2
erastovalidia [21]

Answer:

60 degrees

Step-by-step explanation:

Angles 1 and 2 are "corresponding angles" and as such are equal.  Thus, the measure of angle 2 is 60 degrees.

6 0
3 years ago
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Which of the following equations is the translation 2 units down of the graph of y= Ix ?
mrs_skeptik [129]

Answer:

D

Step-by-step explanation:

translation down is just subtracting a number out side the | x |

6 0
3 years ago
Find the smallest number which when divided by 12,15,18&27 leaves as remainder 8,11,14,23 respectively.
Free_Kalibri [48]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{536}}}}}

Step-by-step explanation:

Solution :

Here, 12 - 8 = 4

15 - 11 = 4

18 - 14 = 4

27 - 23 = 4

Thus, every divisor is greater than its remainder by 4. So, the required smallest number is the difference of the L.C.M of the given number and 4

<u>Finding </u><u>the</u><u> </u><u>L.C</u><u>.</u><u>M</u>

First of find the prime factors of each numbers

12 = 2 × 2 × 3

15 = 3 × 5

18 = 3 × 3 × 3

27 = 3 × 3 × 3

Take out the common prime factors : 3 , 3 and 3

Also take out the other remaining prime factors : 2 , 2 and 5

Now, Multiply those all prime factors and obtain L.C.M

L.C.M = Common factors × Remaining factors

= 3 × 3 × 3 × 2 × 2 × 5

= 540

L.C.M of 12 , 15 , 18 and 27 = 540

So, The required smallest number = 540 - 4

= 536

Hope I helped!

Best regards!!

3 0
3 years ago
What is equivalent to​
eimsori [14]

Answer : The expression which is equivalent to \sqrt[4]{9}^{\frac{1}{2}x} is 9^{(\frac{1}{8}x)}.

Step-by-step explanation :

The given expression is:

\sqrt[4]{9}^{\frac{1}{2}x}

As we know that:

\sqrt[4]{x} =x^{\frac{1}{4}}

So, by solving the above expression, we get:

\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}

By multiplying the power of 9, we get the following expression.

\Rightarrow 9^{(\frac{1}{8}x)}

Hence, the expression which is equivalent to \sqrt[4]{9}^{\frac{1}{2}x} is 9^{(\frac{1}{8}x)}.

6 0
3 years ago
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