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vagabundo [1.1K]
3 years ago
6

The velocity,v of a missile is related to time t, By the equation v=5t^2+3t+1.calculate the time at which the velocity is minimu

m.also calculate the minimum velocity.

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

  • time: t = -0.3
  • minimum: v = 0.55

Step-by-step explanation:

For quadratic ax^2 + bx + c, the extreme value is found at x=-b/(2a). For your quadratic, the minimum is found at ...

  t = -(3)/(2(5))

  t = -0.3 . . . . . time of minimum velocity

__

The value of velocity at that time is ...

  v = 5(-0.3)^2 +3(-0.3) +1 = 5(.09) -.9 +1

  v = 0.55 . . . . . value of minimum velocity

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mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

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4 0
2 years ago
The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

A_{circle} = \pi r^2

\pi r^2 = 46

r^2 = \dfrac{46}{\pi}

r = \sqrt{\dfrac{46}{\pi}}

r = 3.83 ~in.

surface area of sphere

SA = 4 \pi r^2

SA = 4 \times \pi \times (3.83)^2

SA = 184~in.^2

7 0
3 years ago
PLS HELP ME ASAP FOR 1, 2, and 3 (SHOW WORK!!!!) MUST SHOW WORK! +LOTS of POINTS!!
emmainna [20.7K]
1) first find the ratio of gallons to minutes which is 150/6=25, so 25 gallons a minute.now divide 20,000 by 25=800 and that is the answer
2)so, we found the proportion 25:1 or 25 gallons a minute
3)we do the same thing we did for find, find the ratio per square feet 700/2=350, next we divide 1960 by 350. that should get you 5.6

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6 0
3 years ago
Is 4, 6, 7 a pythagorean triple
madam [21]

Answer:

Yes

Step-by-step explanation:

Hope this helps!

Good Luck!

7 0
2 years ago
Read 2 more answers
2/3g + 1/2g = 14 multi step equations, i need help knowing the steps
MaRussiya [10]
Find the common denominator

It is 6

Multiply everything by 6

2/3*(6)= 4g

1/2 *(6)= 3g

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g= 12
8 0
2 years ago
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