MATHEMATICS HIGH SCHOOL

The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?

Answers

Answer 1
Answer:

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

Given the following function:

  • f(x) = -16t² + vt + s.
  • Displacement, s = 6ft.
  • Velocity, v = 25 ft/s.

How to calculate the amount of time?

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

Read more on quadratic equation here: brainly.com/question/1214333
Answer 2
Answer:

Answer:

B

Step-by-step explanation:

The verified dude saisd so

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A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. Over the entire day, 65 pounds of the nut mixture were sold for $189.95. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65 p+3.55n=189.95 Determine the correct description and amount of pounds for almonds and cashew nuts that were sold

If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

What is the difference between rational and irrational numbers? And we believe whole numbers are 0 and any number after it to the positive side. What are the negative numbers called, just integers? We are also a little confused about the difference in counting numbers and whole numbers, are they the same?

Answers

Definition:
Every rational number can be written as a fraction with whole numbers
on top and bottom.  Irrational numbers can't.

Working method of recognizing them:
Any number that you can write down completely, on paper, using number digits without any symbols, is a rational number, whether you write it as a fraction or as a decimal.

Popular misconception:
A rational number doesn't necessarily produce a decimal that ends, and a decimal that never ends is not necessarily an irrational number.
Examples:  1/3, 1/7, 1/9, 1/11 are never-ending in decimal form.

Whole numbers are the positive integers and zero.

Counting numbers are the whole numbers without zero.

Integers are the whole numbers plus their negatives.

Can someone help me please!! Thank you! One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 3x − 2y + 6 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?


x t(x)
−2 −15
−1 −10
0 −5
1 0
2 5

A) t(x) has the largest x-intercept: 1.
B) 3x − 2y + 6 = 0 has the largest x-intercept: 3.
C) t(x) has the largest x-intercept: −5.
D) 3x − 2y + 6 = 0 has the largest x-intercept: −2.

Answers

C t(x)has the largest x-intercept:-5 

john bought a used truck for 4,500. he made an agreement with the dealer to put 1,500 down and make payments of 350 for the next 10 months the extra cost paid by taking this deal is equivalent to what actual yearly rate of interest

Answers

So $350 X 10 =$3500

Then, you add the initial $1500,

which means he now has $5000

The difference between $5000 and $4500 is $500,

And $500 is 9% of $4500, 

So the deal is equivalent to a yearly interest of 9%

Hope this helps ! :)

Anyone a math Genius?
simplify each radical expression.
-21_/27x^9

Answers

ok so according to comments, question is
-21\sqrt{27x^(9)}
remember that
√(xy)=√(x) times √(y)
and \sqrt{yx^(2)}=x√(y)
so
-21\sqrt{27x^(9)}=-21√(27)\sqrt{x^(9)} = -21√(9)√(3)\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}√(x)= -21(3)√(3)(x)(x)(x)(x)√(x)=
-63x^(4)√(3)√(x)=-63x^(4)√(3x)

What is the ratio of 5 hours to 100 minutes

Answers

for this question you should know that 5 hours is equal to 300 minutes so the ratio of 300 minutes to 100 minutes is 300/100 which is equal to 3/1 or 3 :)))
i hope this is helpful
have a nice day 
first 5x60=300
therefore...   300:100
300/50=6   and    100/50=2
6:2
therefore is 3/1
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