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Dmitrij [34]
3 years ago
15

2.

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

With a vertex (h, k) at (0, 3) and given that  a = -3, then the equation of this parabola in vertex form is as follows:

    y = a(x - h)2 + k

    y = -3(x - 0)2 + 3

    y = -3x2 + 3

Step-by-step explanation:

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An object is thrown upward from the top of a building with an initial velocity of 48 feet per second. The height h of the object
Lubov Fominskaja [6]

Answer:

5 secs

Step-by-step explanation:

The height of the object is given as:

h = -16t^2+48t+160

The moment when the object hits the ground, the height of the object will be 0 m.

Hence:

0 = -16t^2+48t+160

Solving this for t:

Divide through by 16 and move all parameters to the left hand side:

t^2-3t-10 = 0

t^2 - 5t + 2t - 10 = 0\\\\\\t(t - 5) + 2(t - 5) = 0\\\\\\(t + 2)(t - 5) = 0\\\\\\=> t = -2, 5

Since time cannot be negative, time, t = 5 secs.

The object will hit the ground after 5 secs.

5 0
3 years ago
Mario fille a hummingbird feeder with 3/4 cup of sugar water on Friday .Monday , Mario sees that 1/8 of sugar water is left .how
tino4ka555 [31]

\frac{5}{8} of total sugar was drink by humming bird

<h3><u>Solution:</u></h3>

Given that,

When the Mario kept the humming feeder on Friday it had \frac{3}{4} cup of sugar water

When he sees on Monday, it had only \frac{1}{8} of sugar water

So, this means the water is consumed by the humming bird will be the difference of the two values:-

\text { Sugar water consumed }=\frac{3}{4}-\frac{1}{8}

On solving we get,

=\frac{3}{4}-\frac{1}{8}=\frac{24-4}{32}=\frac{20}{32}

=\frac{5}{8}

Hence, the amount of sugar water consumed is \frac{5}{8} of total sugar at the starting

5 0
4 years ago
What is 70 percent of 20?
RideAnS [48]

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

4 0
3 years ago
Read 2 more answers
Jalan is going to the moon. To get there, he has to travel at a 70 degree angle of elevation. If the moon is straight above the
DerKrebs [107]

Answer: 212,836

Step-by-step explanation:

4 0
3 years ago
The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?
Marizza181 [45]

Answer:

Approximately 17.88x or 8x\sqrt{5}

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be \sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}} which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x  or if you simplify the radical instead it's 8x\sqrt{5}

4 0
3 years ago
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