If a 12 volt battery produces a current of 36 amperes what is the resistance

A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−

KATRIN_1 [288]

Answer: h = 70ft

Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:

$h=4+65t-16t^{2}$

$h=4+65.2-16.2^{2}$

$h=4+65.2-16.4$

$h=4+130-64$

h = 70

After 2s, the football reached a height of 70 feet.

3 0

3 years ago

Read 2 more answers

Simplify. √20⋅√3·√18 5√30 5√10 6√10 6√30

ddd [48]

The correct answer is: [D]: " 6√30 " .

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Explanation:

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Simplify: " √20 ⋅ √3 · √18 " :

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Step 1) Simplify the "first term" :

"√20 " = √4 √5 = 2√5 ;

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Step 2): Consider the "second term:

"√3 " = √3 (already simplified);

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Step 3) Simplifly the "third term" :

" √18 " = √9 * √2 = " 3√2 " ;

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We have: " 2√5 * √3 * 3√2 " ;

= (2* 3) * (√5 * √3 * √2) ;

= 6 * (√5 √3 √2) ;

Note: " (√5 * √3 * √2 )" = " √(5 * 3 * 2) " = " √ 30 " .

So: " 6 * (√5 * √3 * √2) =

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→ " 6 √30 " .

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The answer is: " 6√30 " ;

→ which is: "Answer choice: [D]: " 6√30 " .

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Hope this answer helps!

Best wishes!

_____________________________________

5 0

3 years ago

Read 2 more answers

Which set of numbers is correctly ordered from greatest to least?

shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

$7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}$

Option 2:

$7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}$

Option 3:

$3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}$

Option 4:

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

Solution:

Lets write each of the above given numbers in a simplified form:

$7\frac{1}{3}$

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

$7\frac{1}{3}$ = 7.3

$\frac{221}{30}$

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

$\frac{221}{30}$ = 7.367

$7.36$

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

$3.16\sqrt{2e}$

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 $\sqrt{2*2.718}$

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

So

$3.16\sqrt{2e}$ = 7.368

7.367995

Now we get the numbers in decimal form:

$7\frac{1}{3}$ = 7.333333 = 7.3

$\frac{221}{30}$ = 7.3666666667 = 7.367

7.36 = 7.3636363636

$3.16\sqrt{2e}$ = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

$3.16\sqrt{2e}$

$\frac{221}{30}$

7.36

$7\frac{1}{3}$

So the correct option is:

Option 4

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

7 0

3 years ago

12) A new amusement park decides to offer its visitors a choice between two plans. With Plan 1 they pay $6 to enter

astraxan [27]

9514 1404 393

Answer:

3 rides
$16.50

Step-by-step explanation:

The plan 1 cost for x rides will be ...

y = 6 + 3.50x

The plan 2 cost for x rides will be ...

y = 12 + 1.50x

These costs will be equal when ...

y = y

6 + 3.50x = 12 + 1.50x . . . . . substitute for y

2.00x = 6 . . . . . . . . . . . . . subtract 6+1.50x

x = 3 . . . . . . . . . . . . . . . divide by 2

For 3 rides, the cost will be the same.

__

For 3 rides the cost is ...

y = 6 + 3.50(3) = 6 + 10.50 = 16.50

The cost for 3 rides will be $16.50 for either plan.

7 0

3 years ago

How much money would you have in your savings balance after 3 years if you initially invested $900 and had an interest rate of 1

denis-greek [22]

assuming simple interest

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 1\%\to \frac{1}{100}\dotfill &0.01\\ t=years\dotfill &3 \end{cases} \\\\\\ A=900[1+(0.01)(3)]\implies A=900(1.03)\implies A=927$

8 0

2 years ago