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Marat540 [252]
3 years ago
7

Rico’s backpack weighed 3.6 pounds. Then he added his school books which weighed an additional 24.76 pounds. How much did Rico’s

backpack weigh with his school books?
Mathematics
1 answer:
Maru [420]3 years ago
6 0
I would add, the weight of the backpack and the weight of the school books which is 28.36.

So Rico's backpack altogether weighs 28.36.

I'm pretty sure. 
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Kelly spends 3/8 of her free time playing soccer. what percent of her free time was spent playing soccer?
lozanna [386]
I think it's 37.5 . I'm pretty sure cause I think you divide 3/8 . Then you go 2 to the right for your answer with the decimal. Not sure but . I think I'm right.
7 0
3 years ago
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
Jane bought 4 books, 3 cups, and 7 rungs. She paid $4 per book, $5 per cup, and $10 per ring. Estimate her change from $50 bill
vlada-n [284]

Hello!

Let's multiply each thing here.

4(4)=16

3(5)=15

15=16=31

50-31=29

Therefore, her change is $29.

I hope this helps!

8 0
3 years ago
Read 2 more answers
Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that
Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0
3 years ago
Divide the polynomial (x^2 + 3x + 5) by 2x + 1​
umka21 [38]

Answer:

50888888888888888888+++++

7 0
3 years ago
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