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My name is Ann [436]
2 years ago
8

Please Help Me I Will Give You The Brain Crown And Extra Points! Pt2

Mathematics
1 answer:
belka [17]2 years ago
6 0
<h3>Answer:  2 seconds</h3>

=========================================================

Explanation:

I'll be using x in place of t

The equation given is y = -4.9x^2 + 19.8x + 58

It is of the form y = ax^2 + bx + c which is the standard form for quadratics.

We have,

  • a = -4.9
  • b = 19.8
  • c = 58

Plug the first two values into the equation below

h = -b/(2a)

h = -19.8/(2*(-4.9))

h = 2.0204081632653

That value is approximate.

Rounding to the nearest whole number gets us roughly h = 2

Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.

-----------------

Extra side notes:

  • To find the maximum height, plug the h value into the original equation. This will yield the value of k.
  • To find the cannonball's flight time, plug in y = 0 and solve for x. Ignore the negative x solution.
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Identify the expression and the value equivalent to 4 times 3 cubed
MrRa [10]

Answer:

4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108

Step-by-step explanation:

Four times three cubed

Given the statement, times means multiplication.

four times three

4        x         3

It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.

4 x 3³

When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.

3³ = 3 x 3 x 3

So 4 x 3³ = 4 x 3 x 3 x 3

Lastly, if we get the product your result will be 108.

4 x 3 x 3 x 3

=4 x 27

= 108

8 0
3 years ago
Read 2 more answers
Help plz if anybody know the answer
Tanzania [10]

Answer: x^2+29x+39

You would first have to set up an equation, which would be ((2x+9)⋅(x+6))-((x-5)⋅(x-3)) to find the area of both rectangles.

Then you can simplify it, which gives us 2x^2+21x+54-(x^2-8x+15)

Then simplify it even more which gives us 2x^2+21x+54-x^2+8x-15

Then we can get our answer: x^2+29x+39

Hope that helps :)

4 0
3 years ago
25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple One marker is drawn out of the bag, then put back in. How many t
lawyer [7]

Answer: 16

Step-by-step explanation:

From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.

The probability of picking a blue marker will be: = 5/25 = 1/5

Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:

= 1/5 × 80

= 16 times

7 0
2 years ago
Read 2 more answers
(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magic
Dmitrij [34]

Answer:

The answer is "r=0.175 \ ft"

Step-by-step explanation:

using formula:

\to \text{profit = revenue-cost}

\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to  cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3

so,

\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0

\to  \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft  

3 0
3 years ago
Marie has a small copy of Rene Magritte’s famous painting, The Schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The
diamong [38]
A scale of 1:40 can be read as "one cm on the model corresponds to 40 cm in the original object". or

"one inch on the model corresponds to 40 inches
this means that  the 2 inches correspond to 2 times 40, that is 80 inches and 1.5 corresponds to 1.5*40=60 inches

which means that the original paintong has dimentions of 80 by 60 inches.

7 0
3 years ago
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