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eduard
3 years ago
7

A pebble drops from a balcony that is 160 feet above the ground. The pebble lands on the top of a sign that is 16 feet high. The

function y=160-16t^2 represents the height y (in feet) of the pebble t seconds after dropping from the balcony. How many seconds does the pebble drop before hitting the sign?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

3 seconds

Step-by-step explanation:

16 = 160 - 16t²

16t² = 144

t² = 9

t = 3

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What is the range of the function g(t)=t2−5 g ( t ) = t 2 − 5 when the domain is defined as the set of integers, t, t , such tha
Andrej [43]

g(t) = t² - 5

g(-4) = (-4)² - 5   = 16 - 5   = 11

<em>at this point, you can tell that B is the answer, but I will continue on so you know how to solve similar problems.</em>

g(-3) = (-3)² - 5   = 9 - 5   = 4

g(-2) = (-2)² - 5   = 4 - 5   = -1

g(-1) = (-1)² - 5   = 1 - 5   = -4

g(0) = (0)² - 5   = 0 - 5   = -5

g(1) = (1)² - 5   = 1 - 5   = -4

g(2) = (2)² - 5   = 4 - 5   = -1

Answer: B

5 0
3 years ago
8. Round 1.906 to the nearest CENT
sukhopar [10]
2 cents unless 1 is a dollar then $1.10
5 0
3 years ago
PLEASE HELP ASAP!!! Fill in a two-column proof for the following conjecture. Use the reasons in the bank below, you will not use
notsponge [240]

Answer:

2. Given

3. Definition of supplementary angles

4. Substitution Property

5 Subtraction Property

Step-by-step explanation:

2. Given

We are given in the statement that m<1 = 112°

3. Definition of supplementary angles

Supplementary angles definition: Two angles are supplementary if there sum is equal to 180°. That statement states:

m<1 + m<2 = 180°

4. Substitution Property

We put the value of m<1 = 112° in the equation. This is substitution property.

5. Subtraction Property

To find the value of m<2 we subtract 112 from both sides of the equation.

This is subtraction property.

6 0
3 years ago
0.2% of what number is 8?
bekas [8.4K]
If you do 0.2 x 40, you get 8. So, 0.2% of 40 is equal to 8.
3 0
3 years ago
Read 2 more answers
A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories f
Hoochie [10]

Answer:

123.75 g  

Step-by-step explanation:

You have three unknowns: protein (p), carbohydrate (c), and fat (f)

You need three equations for the three unknowns.  They are

(1)    p +   c +   f =    725

(2) 4p + 4c + 9f = 3500

(3) 4p         + 9f = 0.45(3500) = 1575

Subtract (3) from (2)

   4c = 1925

(4)  c =   481.25

Substitute (4) into (1)

    p + 481.25 + f = 725

(5) p +                f = 243.75

Multiply (5) by 4

(6) 4p + 4f = 975

Subtract (6) from (3)

  5f = 600

(7) f =   120

Substitute (7) into (3)

4p + 1080 = 1575

4p             =   495

 p             =    123.75

The diet will include 123.75 g of protein.

Check:

\begin{array}{rcl}\\123.75 + 481.25 + 120 &=&725\\ 725 & = & 725\\&&\\4(123.75) + 4(481.25) + 9(120) &=& 3500\\495 + 1925  + 1080& =& 3500\\3500 &=& 3500\\&&\\4(123.75) + 9(120)  &=& 1575\\495 + 1080&=& 1575\\1575&=& 1575\\\end{array}

It checks.

5 0
4 years ago
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