1. In winter with heavy snow, the animals in Yellowstone cannot freely roam to find food,
so hay is dropped for them from helicopters. A helicopter is 180 feet above the ground
drops a bale of hay while the helicopter itself is rising at 32 feet per second. The height (S)
in feet of the bale as a function of time is given by:s(t) = -16t2 + vit + Si
where t is the time since the bale was dropped off the helicopters (in seconds), V is the
initial velocity, and Si is the initial height.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5. What is the standard form of the equation? A. x = 2y2 + 5y + 9 B. y = 2x2 + 5x + 9 C. y = 4x2 + 4x + 4 D. y = 2x2 + 12x + 13
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Marcus has 731 books he puts about the same number of books each of nine shelves in a bookcase about how many books are on each shelf

Answers

Answer:

81 books

Step-by-step explanation:

If you divide 731 into 9 you'll get 81.2

so that means you have 2 books left over that wont be on the shelf

so you'll have to round to 81

8=8p+13-3p
How do you solve this equation?

Answers

p = -1
8=8p+13-3p
Subtract 8p and 3p
Thats 5p
Now
8=5p + 13
Subtract 13 from 8
-5 = 5p
Divide -5 by 5
-1 = p

remember you can do anything to an equaiton as long as you do it to both sides

8=8p+13-3p
group like terms
8=8p-3p+13
add like terms
8=5p+13
minus 13 from both sides
8-13=5p+13-13
-5=5p+0
-5=5p
divide both sides by 5
-5/5=5p/5
-1=1p
-1=p
p=-1

Find the area of the region bounded by the graphs of the equations
2y^2 = x + 4 and x = y^2

Answers

Answer:

Step-by-step explanation:

$2y^2 = x + 4 \rightarrow x = 2y^2 -4$

$x=y^2$

intersection points

$2y^2 - 4 = y^2$

$y^2 =4$

$y = \pm 2 \rightarrow (4, -2)~ and~ (4, 2)$

$\int\limits^2_(-2) (y^2-(2y^2-4)} \, dy$

You finish it by yourself

If the dimensions of a figure are doubled, then the perimeter of the figure is

Answers

Hello,

Let's say there are n sides
$P(1)=a_(1)+a_(2)+a_(3)+....+a_(n)$

$P(2)=2*a_(1)+2*a_(2)+2*a_(3)+....+2*a_(n)\n=2*(a_(1)+a_(2)+a_(3)+....+a_(n))=2*P(1)$ (Put 2 in commun factor)
Perimeter is doubled.

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select THREE options. (1) –2
(2) 0
(3) 5
(4) 8
(5) 10

Answers

The possible values of 20-pound bags of sand will be;

⇒ 0, 5, 8

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A hot air balloon can hold up to 300 pounds of weight.

And, The balloon's pilot weighs 140 pounds.

Now,

Let number of possible values of 20-pound bags of sand = b

So, We can formulate;

⇒ 20b + 140 ≤ 300

Solve for b as;

⇒ 20b ≤ 300 - 140

⇒ 20b ≤ 160

⇒ b ≤ 8

Thus, The possible values of 20-pound bags of sand are;

⇒ 0, 5, 8

Learn more about the inequality visit:

brainly.com/question/13777972

#SPJ2

Answer:

Step-by-step explanation:

You subtract 300 from 140 to get 160 because the pilot adds the weight in already. Once you get 160 divides it by 20 to get 8. Each bag weighs 20 pounds, every bag you add will decrease the total the air balloon can carry, so anything 8 and less is good. (4), (5), and (0) should be your answer.

3. Use the Babylonian method to approximate √19 to the nearest hundredth.

Answers

the square root of 19 is 4.36 when rounded to the nearest hundredth

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