A ball is launched from a sling shot. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.After 1 second, the ball is 148 feet in the air; after 2 seconds, it is 272 feet in the air.

Find the height, in feet, of the ball after 6 seconds in the air.

I have no idea any help?

Answers

Answer 1

Answer: From the data given, generate first the quadratic equation which best describe the height of the ball. The quadratic function has a general form of
f(x) = Ax^2 + Bx

Substituting the known data,

(1) 148 = A(1^2) + B(1)
(2) 272 = A (2^2) + B (2)
solving for A and B simultaneously,

A = -12
B = 160

To answer this problem, substitute 6 to x. Thus, after 6 seconds, the height is 528 feet.

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How did the Missouri Compromise keep peace between the North and South?

Answers

The Missouri Compromise basically said that the next states that joined the US would be given to the north and the south. Ex: The first would go to the South and the next will go to the North. Or answer A

A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity , the drive in can hold 72 cars. The function c(n)=25n represents the drive-ins revenue on a weekend night, where n represents the number of cars. In this situation, what is the domain of C(n)?

Answers

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer

Explanation:

The given function is:

C(n) = 25n

Domain of the function is defined as the values of n which we can use to substitute in the equation

Now, in our equation, n represents the number of cars. This means that n has to be positive integer because we can neither have negative number of cars nor fraction of a car. Therefore, n would start from 0 and count integers

The second thing is that the maximum capacity is 75. This means that n cannot exceed 75 cars in the drive-in

From the above, we can deduce that n can be any integer starting from 0 till 75 (inclusive)

This means that our domain is:

0 ≤ n ≤ 75 where n is an integer

Hope this helps :)

The domain is 0 < n < 75 (The maximum amount of cars is 75) also those are GREATER THEN OR EQUAL TO, not greater than
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You know what i mean?

Find the sum of the geometric sequence 4, 16, 64, 256, 1024

Answers

The formula for sum of a GP is
$S_n= (a_1(1-r^n))/(1-r)$
Where $S_n$ is the sum of 'n' terms, $a_1$ is the first term, 'r' is the common ratio
The common ratio is 16 divided by 4, that's 4

$S_(5)= (4(1-4^5))/(1-4)$
$S_(5)= 1364$

Answer:

Step-by-step explanation:

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

-1 + n/2 = -11
HELP
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Answers

Answer:

n = -20

Step-by-step explanation:

$-1 +(n)/(2) = -11\n$ add 1 on each side

$(n)/(2) = -11 + 1\n\n(n)/(2) =-10$ multiply by 2

n = -20

Since it's founding, a volunteer group has restored 50 houses. It plans to restore 15 houses per year in the future. Write an equation that models thetotal number N of restored houses T years from now.

Answers

The equation that represents the word statement is N= 15T+50.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a volunteer group has restored 50 houses. It plans to restore 15 houses per year in the future.

With 15 being the number changing as you find your variable and 50 being the number of houses ALREADY completed, constituting adding it to the answer.

Therefore, the equation that represents the word statement is N= 15T+50.

To know more about an expression follow

brainly.com/question/7700605

#SPJ2

The answer would turn out being--

N= 15T+50

With 15 being the number changing as you find your variable and 50 being the number of house ALREADY completed, constituting adding it to the answer.

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Answers

$cos135^o=cos(90^o+45^o)=-sin45^o=-(\sqrt2)/(2)\n\nreduction\ formulas:\ cos(90^o+\alpha)=-sin\alpha$

$cos(180^0- \alpha )=-cos \alpha \n \n cos135^0=cos(180^0-45^0)=-cos45^0=- ( √(2) )/(2)$

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