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3 years ago

What happens to the current in a circuit if a 1.5 volt batey is removed and is replaced by a 3 volt battery???

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

Answer:

<h2>The electrical current in the circuit will be double, becuase the current and volts are directly proportional.</h2>

Step-by-step explanation:

An electrical current is directly proportional to volts, and inverselt proportional to resitance. That means if we increase the volts of a battery, the electrical current will be increased too.

In this case, according to the problem, the volts were doubled, from 1.5 to 3. That means the electrical current will also doubled.

Furkat [3]3 years ago

6 0

The current is doubled. Ohm's law states that V = IR, therefore, if the voltage is doubled, aka 1.5 to 3V, than assuming resistance stays constant, the current must double.

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Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select

xxMikexx [17]

Answer:

The probability of selecting randomly 6 packets such that the first 4 contain cocaine and 2 not is 0.3522.

Step-by-step explanation:

Probabilities of selecting 4 packets with the ilegal substance:

$(\frac{15}{4})\\$ = $\frac{15!}{4!(15-4)!}$

Combinassions possible= 1365

Probabilities of selecting 2 packets with white powder:

$(\frac{5}{2})$ = $\frac{5!}{2!(5-2)!}$

Combinations possible= 10

Probabilities of selecting 6 packets from the totality of them:

$(\frac{20}{6})$ = $\frac{20!}{6!(20-6)!}$

Combinations possible= 38760

The probability of picking 4 with the substance and 2 with only white powder is:

$\frac{(15ncr4)(5ncr2)}{(20ncr6)}$ = 0.3522

I hope this answer helps you.

6 0

3 years ago

Find the constant of variation k for the direct variation

Alla [95]

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

k is the constant of variation

The constant of variation k = $\frac{y}{x}$

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points [except point (0, 0)] to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = $\frac{y}{x}$

→ Substitute the values of x and y in the relation above

∴ k = $\frac{2}{-1}$

∴ k = -2

The constant of variation is k = -2

7 0

4 years ago

Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

Umnica [9.8K]

Answer:

Answer: 4x² - 9x + 20 

Step-by-step explanation:

• General quadratic equation:

${ \rm{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) }}$

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

${ \boxed{ \rm{4 {x}^{2} - 9x + 20 }}}$

3 0

3 years ago

Round the number to hundredths 45.65747

Luda [366]

Answer:

45.66

Step-by-step explanation:

Step 1: Round to the Hundredths place

45.65747

Since the thousands place is above 5, we round up the hundredths place.

45.65747

45.66

Answer: 45.66

5 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPP WITH CACULAS

Norma-Jean [14]

These are four questions and four answers:

Question 1. What is the petrochemical production in 2005?

Solution:

1) The table reports the the annual Petrochemical Production p (Billion metric tons) for 2005 - 2011.

2) The years are indicated as 0, 1, 2, 3, 4, 5, 6.

3) There is a contradiction in the stament because there is a note telling that t = 0 is year 2002, which meant that the years are from 2002 - 2008, contradicting that the years are 2005 - 2011.

4) If you take for good the note the t = 3 is year 2005 and the corresponding production is 12.0, which is the option A).

5) If you take for good the initial statement that the years are 2005 - 2011, then t = 0 is 2005 and the corresponding production is 10.8

So you have to clarify with your teacher which is the right statement.

Question 2. What are the units.

Solution:

The units are indicated in parenthesis after the label of the row.

The label of the row is Petrochemical production p and the units are Billion metric tons.

So, the answer is the option D) billion metric tons.

Question 3. Graph the function f(x) = log base 2 of x

Solution:

You might create a table with some four points or use the knowledge about logarithm function.

Thiis is the knowledge you need to answer the question:

1) logarithm is an increasing function: as x increase f(x) increase)

2) log base a of a = 1

3) limit of log base a of x when x approaches 0 is negative infinity.

With those three properties you know that the answer is the first figure with certainty.

Question 4. Graph the function f(x) = 2^x

Solution:

These properties will give you the answer:

1) 2^x is the inverse function of log base 2 of x (the function of the question 2)

2) 2^0 = 1

3) 2^x is a growing function (as x increases 2^x increases)

4) 2^x is always positive.

5) limit of 2^x when x approaches negative infinity is 0.

With that you are sure that the graph of 2^x is the second figure.

4 0

4 years ago