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Zepler [3.9K]
3 years ago
9

Emma is going to seed grass in her front yard. The yard is 45 feet long by 27 feet wide. Her options at the seed store are: 1 ba

g of 4 lb of seeds costs $5 and covers 500 square feet of area 1 bag of 2 lb of seeds costs $2 and covers 170 square feet of area If the lawn requires one layer of seeds, what is the minimum cost of seeding the grass in Emma's lawn?
Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
So the total square footage that you need to cover is 1215 ft. The most cost effective way to do that is to use 2 - 4lb bags (to cover 1000 ft) at the cost of $10 and 2 - 2lb bags (to cover 340ft [a little more than you need]) at the cost of $4 to get a grand total of $14.
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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
1/3^-1-1^-1/4^-1<br>find the value in the following equation ​
nadezda [96]

Answer:

-1/6

Step-by-step explanation:

= 1/3 (-1-1) x -1/4 (-1)

= 1/3 (-2) x 1/4

= -2/3 x 1/4

= -2\12

2 and 12 can cancel out each other.

so the answer will be.

= -1/6.

4 0
3 years ago
Simplify the following expression:<br><br> 5 + (b + 2)<br><br> What is the answer?
dolphi86 [110]

Answer:

5 + ( b + 2)

5 + b + 2

5 + 2 + b

7 + b

8 0
3 years ago
Alex is thinking of a doubles fact the sun is greater than the sum 7+7 but less than the sum of 8+9. What fact is Alex thinking
goldfiish [28.3K]
15 is your answer, because 7+7=14 and its greater then 14 but less then 8+9 which = 16. 
3 0
3 years ago
Read 2 more answers
Complete the square for the expression, then factor the trinomial.
Nuetrik [128]

Answer:

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

Step-by-step explanation:

We need to complete the square for the expression x^2-4x

For completing the square the expression would be of form a^2+2ab+b^2=(a+b)^2

For given expression we have to add (2)^2 and subtract to make it complete the square.

x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2

Now, we have to factor the polynomial using formula (a)^2-(b)^2=(a-b)(a+b)

So, (x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

5 0
3 years ago
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