Which is the product of 60 x 104 ? O A. 6,000 O B. 60,000 O C. 600,000 O D. 60,000,000

Answer:

$6.75

Step-by-step explanation:

Interest = \(\frac{1.5}{100}\) × 2 × $225

             = $6.75

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

28

Step-by-step explanation:

Add the top and bottom bases, divide by 2, multiply by height.

Hence Proved N to N is uncountable set by using a diagonalization argument

What is Diagonalization Argument?

Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.

Proof:

We write f as the sequence of value it generates

that is, say f:N-N is defined as f(x) =x then

we write f as : 1,2,3,4........

similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......

now assume on the contrary that the set of functions from N to N is countable

then,

\(f_{1}\)   :     \(f_{11}\)        \(f_{12}\)       \(f_{13}\) , ...........

\(f_{2}\)   :     \(f_{21}\)        \(f_{22}\)       \(f_{23}\) , ...........

\(f_{3}\)   :     \(f_{31}\)        \(f_{32}\)       \(f_{33}\) , ........... and so on

Here \(f_{ij}\) =\(f_{i}(j)\)

consider the function f as :

f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........

Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place

Therefore the set of the function from N to N is an uncountable set

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The speed of the boat in still water is 3 miles per hour

Given that,

A boat travels 40 miles upstream in 4 hours and 48 miles downstream in 3 hours.

To find : The speed of the boat in still water

We use the distance formula. D = r * t

48/3 = 16 mph | Trip 1 |

40/4= 10mph | Trip 2 |

16-10 = 6 mph difference traveling upstream or downstream. Thus the speed of the current is 3 miles per hour.

Therefore, The speed of the boat in still water is 3 miles per hour.

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Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Answer:

20 and 80

Step-by-step explanation:

x+y= 100

0.2x+0.3y= 0.28*100

x= 20 ⇒ y= 80

Answer:cooks a burger

Step-by-step explanation: eat the burger

Answer:

32

Step-by-step explanation:

2 * (5 + 8 + 3) = 2 * 16 = 32

the answer is b

cccxcxcxcxcxzczczxc

The percentage of the rate of decrease in the medication will be 75%. Option A is correct.

The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.

It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.

f(x) = 500(0.75)ˣ

Compare the function with the standard function as

y=baˣ

Where b is the constant value, a is the percent of the rate of decrement and x is the time period,

The value of a for the given function will be 0.75. The value is in percentage form and can be written as,

=0.75 ₓ 100

=75%

Thus, the medication's rate of decline will be 75%. Option A is correct.

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Using the pattern given, we found that the colour of the lightbulb in the 543rd position of a string of lightbulbs is green.

What is meant by the pattern?

A recurring arrangement of numbers, shapes, colours and other elements is known as a pattern. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series. The number of patterns can be limitless or finite. There are many distinct kinds of number patterns, including geometric, Fibonacci, and algebraic or arithmetic patterns. In mathematics, number patterns are quite prevalent.

Given,

The number of lights on a string of lights = 1000

The order in which the lights repeat is red, yellow, green and blue.

After every four lights, the order repeats.

We can get the pattern as follows.

The blue lights are in positions 4,8,12,........,4n.

We have to find the multiple of 4 close to 543.

Now we can check if 542 is a multiple of 4.

542/4 = 135.5

So it is not a multiple of 4.

Now check if 544 is a multiple of 4.

544/4 = 136

So the bulb in the 544th position is blue.

Then the bulb in the 543rd position should be green.

Therefore using the pattern given, we found that the colour of the lightbulb in the 543rd position of a string of lightbulbs is green.

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Answer: it's A

Step-by-step explanation:

Answer:

the probability of winning the bet is 4/9 or approximately 0.444 or 44.44%.

Step-by-step explanation:

To calculate the probability of winning a bet given odds in favor, we can use the following formula:

Probability of winning = Odds in favor / (Odds in favor + Odds against)

In this case, the odds in favor are given as 4 to 5. This means that for every 4 favorable outcomes, there are 5 unfavorable outcomes.

Plugging these values into the formula:

Probability of winning = 4 / (4 + 5)

Probability of winning = 4 / 9

So, the probability of winning the bet is 4/9 or approximately 0.444 or 44.44%.

Answer:

This is an arithmetic sequence because there is a common difference of 4 between each term

Answer: uuh first 2 no but the others maybe

Step-by-step explanation:

nijrnfibrjnfbijnbifjnij

9514 1404 393

Answer:

  no; none are equal to ±√2

Step-by-step explanation:

The solution is ...

  x = ±√2 . . . . . . take the square root of both sides of the equation

__

The value of √2 is irrational, so cannot be represented by any integer or fraction. All of the offered "solutions" are rational, so cannot match the required solution.

Answer:

why is brainlys tutor system not free anymore I really need help from somebody, i used to use tutors so much but now i have none ro help me

Answer:

I think its C

Step-by-step explanation:

All the expressions after completing the square each equation are,

⇒ (x - 1/2)² = 5/4

⇒ (x - 5/2)² + 3/4 = 0

⇒ (2x + 3/2)² = 57/4

Given that;

Expressions are,

⇒ 2x² - 2x + 7 = 5

⇒ -2x² + 10x = 14

⇒ 4x² + 6x = 12

Now, We can completing the square each equation as;

⇒ 2x² - 2x + 7 = 5

⇒ x² - x + 7/2 = 5/2

⇒ x² - x + 1/4 - 1/4 + 7/2 = 5/2

⇒ (x - 1/2)² = 1 + 1/4

⇒ (x - 1/2)² = 5/4

⇒ -2x² + 10x = 14

⇒ - x² + 5x = 7

⇒ x² - 5x = - 7

⇒ x² - 5x + 25/4 - 25/4 = - 7

⇒ (x - 5/2)² = - 7 + 25/4

⇒ (x - 5/2)² = - 3/4

⇒ (x - 5/2)² + 3/4 = 0

⇒ 4x² + 6x = 12

⇒ (2x)² + 2×2x×3/2 + 9/4 -9/4 = 12

⇒ (2x + 3/2)² = 12 + 9/4

⇒ (2x + 3/2)² = 57/4

Thus, All the expressions after completing the square each equation are,

⇒ (x - 1/2)² = 5/4

⇒ (x - 5/2)² + 3/4 = 0

⇒ (2x + 3/2)² = 57/4

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Answer:

Bridget has $5.55.

Step-by-step explanation:

First let's find how much money Bridget needs to buy 5 vases. To do this, multiply the cost per vase by the amount of vases she wants to buy:

2 * 5 = 10

It would cost $10 to buy 5 vases.

Bridget needs $4.45 in order to buy 5 vases. So, to find how much money she already has, subtract the amount of money she needs from the total cost of the 5 vases:

10 - 4.45 = 5.55

Bridget has $5.55.

Answer:

$ 5.55

Step-by-step explanation:

Find the price of 5 vases

Cost of 5 vases = 5 * 2 = $ 10

She needs $4.45 to buy 5 vases. If we subtract this 4.45 from $10, the result will be the money she has already with her

Money Bridget has = 10 - 4.45

                               = $ 5.55

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:

Step-by-step explanation:

28/100 = 14/50= 7/25

Answer:

28% = 7/25

Step-by-step explanation:

Percent means "per hundred"

Then:

28% = 28/100

= 14/50

= 7/25

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Since density is equal to mass per unit volume, mass is equal to density times volume. So we split up the lamina into tiny regions with "volume" (area) equal to dA, multiplied by the density, and integrated over the entirety of the lamina.

This is best done in polar coordinates:

\(\begin{cases}x=u\cos v\\y=u\sin v\end{cases}\implies\mathrm dA=\mathrm dx\,\mathrm dy=u\,\mathrm du\,\mathrm dv\)

so that \(x^2+y^2=u^2\cos^2v+u^2\sin^2v=u^2\).

The lamina is then the set of points

\(L=\left\{(u,v)\mid1\le u\le2\land0\le v\le\dfrac\pi2\right\}\)

Now compute the integral: the mass of the lamina is

\(\displaystyle\iint_L(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_1^2u^3\,\mathrm du\,\mathrm dv=\frac\pi2\int_1^2u^3\,\mathrm du=\frac{15\pi}8\)

The vector is given as,

The magnitude of the vector u is given as,

Calculating the dot product,

Thus the required answer is,

The statement that is not true is (a) A = 74 degrees

From the question, we have the following parameters that can be used in our computation:

The dilation of ABC by a scale factor of 2

This means that

Scale factor = 2

The general rule of dilation is that

using the above as a guide, we have the following:

AC = 2 * 5 = 10

C = 53 degrees

BC = 2 * 3 = 6

A = 37 degrees

Hence, the statement that is not true is (a) A = 74 degrees

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