se Boolean algebra to simplify the given Boolean expression : Determine the minimum (i.e. simplest) expression. Hint:use DeMorgan's Theorems F(A,B,C) =((A + B').CD )'

Answer:

82300000 in scientific notation = 8.23 × 107.

Step-by-step explanation:

Not sure if that's right.

Answer:

8.23×10^7

Step-by-step explanation:

to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10

Steps

First, convert your number into an improper fraction

10 * 3 = 30

Then add.

31/3 is your answer.

Answer:

31/3

Step-by-step explanation:

A mixed number is an addition of its whole and fractional parts. To write 10 as a fraction with a common denominator, multiply by 3/3. combine 10 and 3/3,Combine the numerators over the common denominator. Simplify the numerator. Multiply 10 by 3, 30+1/3 add 30 and 1 31/3

Answer:

Median is 36 I believe it was the first 1st graph shown.  1st quartile is 31

Step-by-step explanation:

(a) The company's monthly cost function is c(x) = 8,600 + 18x.

(b) The company's monthly revenue function is P(x) = 32x.

(c) The company's monthly profit function is p(x) = 14x - 8,600.

(a) The company's monthly cost function can be determined by adding the fixed costs to the variable costs, which are the production cost per item multiplied by the number of items produced. The fixed costs are $8,600 and the production cost per item is $18. Therefore, the monthly cost function is:

\[c(x) = 8,600 + 18x\]

(b) The company's monthly revenue is obtained by multiplying the selling price per item by the number of items sold. The selling price per item is $32. Therefore, the monthly revenue function is:

\[P(x) = 32x\]

(c) The company's monthly profit can be calculated by subtracting the cost function from the revenue function. Therefore, the monthly profit function is:

\[p(x) = P(x) - c(x) = 32x - (8,600 + 18x) = 14x - 8,600\]

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Answer:

The surface area of the figure is;

36·π cm²

Step-by-step explanation:

The parameters of the figure are;

The shape of the figure = A sphere

The radius of the sphere, r = 3 cm

The surface area of a sphere, A = 4·π·r²

Therefore, for the given sphere, we have;

The surface area of the sphere, A = 4 × π × (3 cm)² = 4 × π × 9 cm²

∴ The surface area of the figure (sphere), A = 36·π cm².

To find the solution we need to remember the following definitions:

Suposse c>0. To obtain the graph of:

• f(x)+c, shift the graph of f(x) a distance c units upward.

• f(x)-c, shift the graph of f(x) a distance c units downward.

• f(x-c), shift the graph of f(x) a distance c units to the right.

• f(x+c), shift the graph of f(x) a distance c units to the left.

Then to translate the function given with the specifications we need to substract a two to the whole function, and add a six to the variable. Then we have:

Therefore, the answer is B.

14.3 is probability  of the variance of the number of home runs bautista is projected to hit in 100 games.

How does probability explain work?

Given: n = 100

p = 0.173

Variance = np(1-p)

= 100*0.173*0.827

= 14.3071

Therefore, the variance to two decimal places is

= 14.3.

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The company will offer you $9,021,773.39 to purchase your annuity.

To calculate the amount offered by the company, we can use the formula for the present value of an annuity with compound interest. The formula is:

\[ PV = \dfrac{P \times \left(1 - \left(1 + r\right)^{-n}\right)}{r} \]

\( PV \) = Present Value of the annuity (the amount offered by the company)

\( P \) = Periodic payment (monthly payment from the lottery) = $69,752

\( r \) = Interest rate per period (monthly interest rate) = \(\dfrac{11.8}{100 \times 12}\)

\( n \) = Total number of periods (total number of months) = 29 years \(\times\) 12 months/year

Now, let's plug in the values and calculate:

\[ PV = \dfrac{69752 \times \left(1 - \left(1 + \dfrac{0.118}{12}\right)^{-348}\right)}{\dfrac{0.118}{12}} \]

After evaluating this expression, we find:

\[ PV \approx \$9,021,773.39 \]

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The number of weeks it will take for the budget money to run out is; 2 weeks.

The number of weeks it would take for the budget money to decrease till it runs out as required in the task can be interpreted as the x-value which corresponds to a Y-value of zero.

Hence, by setting y=0; we have;

-2x -0 = -4

-2x = -4

Divide both sides of the equation by; -2.

x = 2

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Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value=\(Initial\;value (r/100+1)^n\)

Using the formula

\(17500=Initial\;value(2.5/100+1)^7\)

\(17500=Initial\;value(1.025)^7\)

\(Initial\;value=\frac{17500}{(1.025)^7}\)

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

Answer:

If Jake loses 8 pounds, he will weigh twice as much as his sister. ... Together they now weigh 278 pounds. What is Jake's present weight, in pounds? (A) 131 (B) 135 ... Before we create our equations, we want to define some variables. ... To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in ...

Answer:

Step-by-step explanation:

Hello!

10*17 = > 170 cm²

(3,14 * 8)/4 =>6,28cm²

170 + 6,28 => 176,28cm²

Answer:

182.56

Step-by-step explanation:

Area of the rectangle = 10 * 17 = 170cm^2

Area of Circle = 8 * 2 * \(\pi\) * 1/4

=> 12.56

=> 170 + 12.56

=> 182.56 is the area

Hope it helps :)

Answer:

1 1/2 + 1 1/2

Step-by-step explanation:

1 1/2 (or 1.5) plus 1 1/2 equals 3

The quotient of 112 and 4 is 28.

What is the quotient?

A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number. The quotient can also be the solution to a division problem involving two fractions.

We have,

112 and 4

the quotient of 112 and 4.

112 ÷ 4 = 28

4 is a factor of 112 because when we divide 112 by 4 it gives us the quotient as 28 and the remainder will be 0.

Here the quotient is also a factor of 112.

Hence, the quotient of 112 and 4 is 28.

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

there are infinitely many solutions

LEFT SIDE/ LEFT EQUATION: if you multiply 1 and (b + 14) together, the result becomes the numerator of the fraction (with 2 being the denominator).

Once you do that, you will notice that both sides/both equations are exactly the same.

Thus, if you put in ANY number for variable b, the solution of both sides/both equations will always be the same and work.

The answer is: "There are infinetly many solutions"

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

\(\implies 360m^2 = 360 \times 10^4 \ cm^2 \)

And , the number of tiles required will be ,

\(\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}\)

Hence the required answer is 1500 .

The point (-5, -9) was reflected over the y-axis to become the point (5, -9). The x-coordinate changed sign the y-coordinate remained the same, confirming that the reflection took place over the y-axis.

The point (-5, -9) was reflected over the y-axis to become the point (5, -9).

To understand which axis the reflection occurred over, we need to analyze the changes in the coordinates.

In a reflection over the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same.

Similarly, in a reflection over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

The y-coordinate of the point (-5, -9) remains the same as -9 in both the original and reflected points.

The x-coordinate changes from -5 to 5.

This means that the reflection involved a change in the x-coordinate, indicating that it occurred over the y-axis.

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Therefore, the 97.5th percentile of a normal distribution with mean 0 and standard deviation 1 is 1.96.

The 97.5th percentile represents the value below which 97.5% of the data falls. In a normal distribution with mean 0 and standard deviation 1, the 97.5th percentile corresponds to a z-score of 1.96.

A z-score represents the number of standard deviations a data point is from the mean. In this case, a z-score of 1.96 means that the value corresponding to the 97.5th percentile is 1.96 standard deviations above the mean.

Using a standard normal distribution table or calculator, we can find that the area under the curve to the left of a z-score of 1.96 is 0.975. This means that 97.5% of the data falls below a z-score of 1.96.

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a. There is a 0.6826 percent chance that the random variable will take on a value between 45 and 55.

b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

A continuous probability distribution that is symmetrically distributed about the mean is known as the normal distribution. It is frequently employed to evaluate and regularly distributed data. In this case, the random variable has a mean of 50 and a standard deviation of 5. It is normally distributed. Hence, 95.45% of the values are within one standard deviation of the mean, and 68.26% of the values are within one standard deviation of the mean. We the z-score method to identify the values that are one standard deviation away from the mean in order to compute the likelihood that the random variable will adopt a value between 45 and 55. (x-)/(x-) is the z-score formula, where x is the random variable's value, is its mean, and is its standard deviation. In this instance, 45 and 55 are one standard deviation from the mean, hence the z-score calculation is (45-50)/5 and (55-50)/5. 45 has a z-score of -1, whereas 55 has a z-score of 1. According to a z-score table, there is a 0.6826 percent chance that the random variable will have a value between 45 and 55.

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Answer:

Needs to order 19 stickers

Step-by-step explanation:

5x+30=125

5x=95

x=19

x=stickers

Answer:

A carpenter needs 4 1/3 strips of lumber for a project. Each strip is to measure 1/3 meter.

Step-by-step explanation:

Answer:

5 1/2 meters because 5 x 1/2 gives 11/2 so mixed fraction will be 5 1/2

A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

\(x=106\)

Step-by-step explanation:

\([Kindly\ find\ the\ attachment\ for\ better\ understanding.]\\We\ are\ given,\\AC\ and\ BD\ are\ two\ parallel\ lines\\\angle CAO=34\\\angle OBD=72\\Lets\ draw\ a\ third\ line\ from\ Point\ O\ parallel\ to\ the\ two\ lines.\\Lets\ denote\ it\ as\ OE.\\\\We\ know\ that,\\'When\ two\ parallel\ lines\ are\ cut\ by\ a\ transversal,\ the\ pairs\ of\ Alternate\\ Interior\ Angles\ formed\ are\ equal'.\\Hence,\\Considering\ parallel\ lines\ AC\ and\ EO,\\\angle CAO=\angle AOE=34\\Similarly,\\\)

\(Considering\ parallel\ lines\ EO\ and\ BD,\\\angle EOB = \angle OBD= 72\\Now,\\As\ \angle x\ or \angle AOB=\angle AOE+ \angle EOB,\\\angle x= \angle AOB=34+72=106\)

Answer: false

Step-by-step explanation:

linear equations do not have x's with exponents

The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

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