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maxonik [38]
3 years ago
13

A pebble falls off a cliff at a height of

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

Step-by-step explanation:

The equation for this free fall problem is

h(t)=-16t^2+1296 where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:

-16t^2+1296=0 and

-16t^2=-1296 and

t^2=81 so

t = -8, 8

Since time will never be negative,

t = 8 seconds

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Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th
Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

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-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

<em>to check:</em>

<em>x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

<em>1</em><em>2</em><em>3</em><em> </em><em>+</em><em> </em><em>8</em><em>9</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

<em>2</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>

6 0
3 years ago
Please help me!! How do you solve 4x+8=2x+7+2x-20. Thank you
leonid [27]
4x + 8 = 2x + 7 + 2x - 20

4x + 8 = 4x - 13

8 = -13

no solution. 

hope that helps, God bless!
8 0
3 years ago
The intersection of two lines can be a ray. true or false. ​
GarryVolchara [31]

Step-by-step explanation:

it's false,

it should be a point

3 0
3 years ago
in a five character password the first two characters must be digits and the last three characters must be letters if no charact
Vilka [71]

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000

1,404,000 unique passwords are possible.

5 0
3 years ago
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Answer:

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