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ANTONII [103]
3 years ago
5

D(t) = 50 – 23 sin (11 (t +0.23)).

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

0.0566 units of time

Step-by-step explanation:

The average value for the depth of the waves is 50 and occurs when sin (11 (t +0.23)) = 0. It is known that sin(π) = 0, therefore:

sin (11 (t +0.23)) = sin(\pi)\\11t+2.53=\pi\\t=0.0556\ units

Since the units of time used were not specified, the first time the depth of the waves is at its average value is 0.0566 units of time after she starts measuring.

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8. How much energy does a 12 V battery in your car use to move 2.5 C through the electrical
I am Lyosha [343]

The energy required is 30 watts second.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or eliminated.

The voltage of a battery is 12 V and;

The charge is 2.5C.

Now, energy can be defined as the product of voltage and charge.

Therefore,

E = V × C

E = 12 × 2.5

E = 30 watt second

Hence, the energy needed by the 12 V battery to move 2.5 C through the electrical circuit is 30 watts second.

Learn more about energy here:

brainly.com/question/13881533

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6 0
2 years ago
A textbook store sold a combined total of 260 chemistry and physics textbooks in a week. The number of chemistry books sold was
Lynna [10]

Let:

x = Chemistry textbooks sold

y = Physics textbooks sold

The textbook store sold a combined total of 260, so:

x+y=260

The number of chemistry books sold was three times the number of physics textbooks sold, so:

x=3y

Let:

\begin{gathered} x+y=260_{\text{ }}(1) \\ x=3y_{\text{ }}(2) \end{gathered}

Replace (2) into (1):

\begin{gathered} 3y+y=260 \\ 4y=260 \\ y=\frac{260}{4} \\ y=65 \end{gathered}

Replace the value of y into (2):

\begin{gathered} x=3(65) \\ x=195 \end{gathered}

5 0
1 year ago
Find the missing length in the image below
lara31 [8.8K]

Let it be x

Using basic proportionality theorem

\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{14}{7}

\\ \sf\longmapsto \dfrac{x}{10}=2

\\ \sf\longmapsto x=10(2)

\\ \sf\longmapsto x=20

7 0
3 years ago
Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30
tekilochka [14]

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

6 0
3 years ago
Math question...?
hoa [83]
We have \sqrt{x}  \ \textless \  16 ;; where x >= 0;
Then, ( \sqrt{x}) ^{2} \ \textless \   16^{2} ;
Finally, 0 < x < 256;
The correct answer is A.
3 0
4 years ago
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