( will give brainlyest)

Mathematics

2 answers:

Arada [10]1 year ago

8 0

Answer: 384 feet

Step-by-step explanation:

We will simplify and solve -16t² + 160t when t is equal to 4.

-16t² + 160t

-16(4)² + 160(4)

384 feet

labwork [276]1 year ago

5 0

Answer:

Step-by-step explanation:

**Note: The polynomial in question is -16t² + 160t, as clarified in the discussion under the question.**

Since there is a polynomial to find the height given a certain time, the height is a function of time.

This function would be h(t) = -16t² + 160t, so plugging in 4 for t would give the height.

$h(4) = -16(4)^2+160(4)$

$-16(16)+160(4)$ [Squaring 4]

$-256 + 640$ [Multiplying]

$384$ [Combining both terms]

Hence, the height of the firework after 4 seconds is 384 feet.

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What are the solution(s) of x^2-4=20?

Pie

$x^2-4=20\qquad|+4\\\\x^2=24\to x=\pm\sqrt{24}\\\\x=-\sqrt{4\cdot6}\ \vee\ x=\sqrt{4\cdot6}\\\\x=-2\sqrt6\ \vee\ x=2\sqrt6$

4 0

2 years ago

One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost

zalisa [80]

Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
   = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.

5 0

3 years ago

Simplified product ?

mel-nik [20]

Answer:

Last choice is correct.

Step-by-step explanation:

$\left(\sqrt{10x^4}-x\sqrt{5x^2}\right)\left(2\sqrt{15x^4}+\sqrt{3x^3}\right)$