35. Develop a truth table for each of the standard POS expressions: a. (A + B)(A + C) (A + B + C) b. ·(4. A + B) (A + B + C) (B + C + ´ + C) (B + C + D) (A + B + C + D)

Answer:

14 weeks

Step-by-step explanation:

First, write as an equation with x the number of weeks Ayan and Gemma's money:

-> Ayan's money: 48+10x because every week he wins 10 more dollars

-> Gemma's money 300-8x

Finally just solve the equation for x where ayan's money = gemma's money so :

48+10x=300-8x

add 8x on both side: 48+18x=300

substract 48 on both side to isolate x : 18x =252

devide by 18 on both side : x=14

Answer:

potential to kinetic energy

Answer:

Step-by-step explanation:

Answer:

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.

Answer:

No

Step-by-step explanation:

All parallelograms are not a kite.

A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.

( See the attached image )

Answer:

B=28

Step-by-step explanation:

After answering the provided question, we can state that As a result, expression rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a causative link or regimen. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include extension, subtraction, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Because the dot plot is not symmetrical and the distribution appears to be skewed towards higher ratings, a rating of 6 may not be a good description of the centre of this data set. The numbers 8, 9, and 10 are more common than the numbers 0-7, indicating that the data set has a right skew.

As a result, the centre of the data set may be better described by a measure of central tendency that accounts for data skewness, such as the median.

As a result, rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

The expression represents an irrational number are B. √75 and  D. √3-√3 .

Any number that cannot be expressed as the quotient of two integers i.e. p/q.

A. 0.18 = 18/100

⇒ it is expressed as quotient of two integers p/q.

∴ 0.18 is a rational number.

B. \(\sqrt{75}\)

⇒it is not expressed as quotient of two integers p/q.

∴ It is an irrational number.

C. 2/3

⇒it is expressed as quotient of two integers p/q.

∴ 2/3 is a rational number.

D. √3-√3

⇒ √3-√3 is not expressed as quotient of two integers p/q.

∴ B. √75 and  D. √3-√3 are irrational numbers.

More about irrational number :

https://brainly.com/question/507420

#SPJ2

Answer: $60

Step-by-step explanation:

Answer:

A positive standard score indicates that the original score is greater than the mean

Step-by-step explanation:

please mark as brainliest

A negative standard score indicates that the original score is lower than the mean.

A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.

When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.

For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:

z = (x - μ) / σ

where x is the original score, μ is the mean, and σ is the standard deviation.

To know more about mean:

https://brainly.com/question/31101410

#SPJ2

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

Learn more about curve here:

https://brainly.com/question/28793630

#SPJ11

The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)

The given differential equation is: 2xyy' + (x² - y²) = 0

We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.

Put y = vx and y' = v + xv'

Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x

Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x

Substituting these values in the given differential equation:

2x(v)(v + xv') + (x² - v²x²) = 0

2v + 2x²v' + x - v² = 0

2x²v' + 2v/x - v³/x = -1/x

We can write the above differential equation as:

2x²dv/dx + 2v/x = v³/x - 1/x

Separating the variables and integrating both sides:

∫dx/x = ∫[v/(v² - 2)]dv/x

⇒ ln |x| + ln |v² - 2| + C

⇒ ln |x(v² - 2)| = ln |Cx|

⇒ v² - 2 = Cx² (where C is a constant)

⇒ v = ±√(Cx² + 2)

Putting the value of v in y = vx, we get:

y = x√(Cx² + 2) and y = -x√(Cx² + 2)

To know more about differential equation visit:

https://brainly.com/question/25731911

#SPJ11

Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

To find the area enclosed by one loop of the lemniscate with equation {eq}r^2 = 9 \cos(2 \theta){/eq}, we can use the polar coordinate formula for area: {eq}A = \frac{1}{2} \int_{\alpha}^{\beta} r^2 d\theta {/eq}, where {eq}\alpha{/eq} and {eq}\beta{/eq} are the angles that define one loop of the curve.

First, we need to find the values of {eq}\theta{/eq} that correspond to one loop. Since {eq}\cos(2 \theta){/eq} has a period of {eq}\pi{/eq}, we can set {eq}2\theta = \pi{/eq} and solve for {eq}\theta{/eq} to find the halfway point of the loop. This gives us {eq}\theta = \frac{\pi}{4}{/eq}. Thus, one loop of the lemniscate is traced out as {eq}\theta{/eq} varies from {eq}-\frac{\pi}{4}{/eq} to {eq}\frac{\pi}{4}{/eq}.

Next, we substitute {eq}r^2 = 9 \cos(2 \theta){/eq} into the formula for area and integrate from {eq}-\frac{\pi}{4}{/eq} to {eq}\frac{\pi}{4}{/eq}: {eq}A = \frac{1}{2} \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} 9\cos(2\theta) d\theta = \frac{9}{4} \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \cos(2\theta) d(2\theta) {/eq}.

Using the substitution {eq}u = 2\theta{/eq}, we get {eq}A = \frac{9}{4} \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \cos(u) du = \frac{9}{4} \left[ \sin(u) \right]_{-\frac{\pi}{2}}^{\frac{\pi}{2}} = \frac{9}{2}. {/eq}

Therefore, the area enclosed by one loop of the lemniscate with equation {eq}r^2 = 9 \cos(2 \theta){/eq} is {eq}\frac{9}{2}{/eq}.
To find the area enclosed by one loop of the lemniscate with the equation r^2 = 9cos(2θ), we can use the polar coordinate area formula:

Area = (1/2) ∫[r^2 dθ] from α to β, where α and β are the limits of integration.

For a lemniscate, one loop is enclosed between the angles where r = 0. Set r^2 = 0 to find these angles:

0 = 9cos(2θ)
cos(2θ) = 0

2θ = π/2 or 3π/2
θ = π/4 or 3π/4

Now, we can integrate over these limits:

Area = (1/2) ∫[(9cos(2θ)) dθ] from π/4 to 3π/4

To solve this integral, use substitution:

u = 2θ, du = 2dθ, dθ = du/2

Area = (1/4) ∫[9cos(u) du] from π/2 to 3π/2

Now, integrate:

Area = (1/4) [9sin(u)] from π/2 to 3π/2

Evaluate the integral at the limits:

Area = (1/4) [9sin(3π/2) - 9sin(π/2)]
Area = (1/4) [-9 - 9]
Area = (1/4) (-18)

Since the area cannot be negative, we take the absolute value:

Area = (1/4) (18)
Area = 9/2 square units

So, the area enclosed by one loop of the lemniscate is 9/2 square units.

Learn more about trigonometry here: brainly.com/question/29002217

#SPJ11

Answer:

three billion eight hundred million

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) a^3-64b^3

=(a)^3-(4b)^3

=(a-4b)(a^2+4ab+16b^2)

b) 3x^3-81y^3z^6

=3(x^3-27y^3z^6)

=3{(x)^3-(3yz^2)^3}

=3(x-3yz^2)(x^2+3xyz^2+9y^2z^4)

c)16a^3b^3-54c^3d^3

=2(8a^3b^3-27c^3d^3)

=2{(2ab)^3-(3cd)^3

=2(2ab-3cd)(4a^2b^2+6abcd+9c^2d^2)

hope u got!!

The value of x is 8 and  the measure of the two marked angles is  60°.

When an angle's vertex and side are shared by another angle, the two angles are said to be neighboring angles. The vertex of an angle is the point where the rays come to a halt and create the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complimentary or supplementary angles.

we know that ,

10x-20=7x+4   (it is corresponding opposite angle)

3x=24

x=8

the value of x is 8.

the measure of the two marked angles is 10*8-20= 80°-20°= 60°.

To know more about corresponding angle visit:

brainly.com/question/29011909

#SPJ1

Answer: A and C

Step-by-step explanation:

I did it :)

The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.

A linear function is in the form:

y = mx + b

Where m is the slope and b is the y intercept

Two lines are perpendicular if the product of there slope is -1

Given the line:

2x + 14y = 70

14y = -2x + 70

y = (-2/7)x + 70

The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.

Find out more on linear function at: https://brainly.com/question/15602982

Answer: y^2 + 6y + 5

Step-by-step explanation:

To divide the 8 liters of water into two equal portions of 4 litres each using a 5-litre and a 3-litre bowl, follow these steps:

1. Pour the water from the 8-litre bowl into the 5-litre bowl, filling it completely. You will have 3 litres remaining in the 8-litre bowl.
2. Pour the 5 litres of water from the 5-litre bowl into the 3-litre bowl, filling it completely. This will leave 2 litres in the 5-litre bowl.
3. Empty the 3-litre bowl and pour the 2 litres from the 5-litre bowl into the 3-litre bowl.
4. Fill the 5-litre bowl again with the remaining 3 litres of water from the 8-litre bowl.
5. Pour 1 litre from the 3-litre bowl (containing 2 litres) into the 5-litre bowl, filling it completely. You will have 1 litre remaining in the 3-litre bowl.
6. Empty the 5-litre bowl and pour the 1 litre from the 3-litre bowl into the 5-litre bowl.
7. Fill the 3-litre bowl again with the remaining 2 litres of water from the 8-litre bowl.
8. Pour the 2 litres from the 3-litre bowl into the 5-litre bowl, which already has 1 litre. This will result in a total of 4 litres in the 5-litre bowl.

Now, you have successfully divided the 8 liters of water into two equal portions of 4 liters each - one in the 5-litre bowl and the other in the 8-litre bowl.

To know more about portions visit:-

https://brainly.com/question/31265707

#SPJ11

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

To know more about significance level:

https://brainly.com/question/4599596

#SPJ4

The solution (B) x=79.

Rewriting the equation to find the solution -

(x+2)³/₄=27

Raising both sides of the equation with exponent ⁴/₃

((x+2)³/₄)⁴/₃ = 27⁴/₃

Cancelling the exponents on Left Hand Side of the equation. Writing the value on Right Hand Side of the equation in exponent form

x + 2 =  (3³)⁴/₃

Cancelling 3 on Right Hand Side of the equation

x + 2 = 3⁴

Solving Right Hand Side of the equation

x + 2 = 81

Shifting 2 to Right Hand Side of the equation

x = 81 - 2

Performing subtraction on Right Hand Side of the equation

x = 79

Hence, the solution is (B) x=79.

Learn more about calculations on solution of x -

https://brainly.com/question/18356625

#SPJ4

Answer:

4+8

Step-by-step explanation:

oh and the answer to the whole equation is 153

Answer:

The (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.

Step-by-step explanation:

We can solve this question using the concept of z-score or standardized value, which is given by the formula:

\( \\ z = \frac{x - \mu}{\sigma}\) [1]

Where

\( \\ z\) is the z-score.

\( \\ x\) is the raw score.

\( \\ \mu\) is the population's mean.

\( \\ \sigma\) is the population standard deviation.

Analyzing the question, we have the following data to solve this question:

Therefore, using all this information, we can determine the (population) standard deviation using formula [1].

Then, substituting each value in this formula:

\( \\ z = \frac{x - \mu}{\sigma}\)

Solving it for \( \\ \sigma\)

Multiplying each side of the formula by \( \\ \sigma\)

\( \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}\)

\( \\ \sigma*z = (x - \mu) * 1\)

\( \\ \sigma*z = x - \mu\)

Multiplying each side of the formula by \( \\ \frac{1}{z}\)

\( \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)\)

\( \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}\)

\( \\ 1*\sigma = \frac{x - \mu}{z}\)

\( \\ \sigma = \frac{x - \mu}{z}\)

Then, this formula, solved for \( \\ \sigma\), will permit us to find the value for the population standard deviation asked in the question.

\( \\ \sigma = \frac{431.8 - 450}{-0.7}\)

\( \\ \sigma = \frac{-18.2}{-0.7}\)

\( \\ \sigma = 26\)

Thus, the (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.

Answer:

It does

Step-by-step explanation:

This is because the line has points in which time and distance are connected (Ex. 100 and 2)

Hope this helps! :)

Answer:

You most likely got it wrong because you didn't plot all the points that are actually in the table, the domain and range are both right.

     In a point-to-point graph, also known as a line graph, particular values of a function are represented graphically by dots on a coordinate plane. Straight lines connect adjacent pairs of dots.

    Choose x and work out the equation for y, or, to locate points on the line y = mx + b. Decide on y, then find x.

         Depending on your preference, you can plot points one at a time, a few on a line, or all at once in a table. Start with the video on the right before continuing to the resources and challenges below to learn more.

          The point (-4, 482) is located on the y=6f[-(x-5)] graph. -4 What is the fundamental idea behind y=f(x).

  If x=-4 and y=482 are subtracted from y=6f[-(x-5)],

I obtain the result f=9 at -4.

When I adjust the slider to f=9 and enter y=6f[-(x-5)]-4 into Demos, the line goes through the point (-4,482)

Does this imply that y=9x is the solution.

None of this actually makes sense to me. I don't understand a single thing. Just rearranging the numbers is all. There were NO examples in the lessons of an equation with a "y". Additionally, the left side of the equation in each example contained "f(x)" or "g(x)".

To Learn more About Point-to-point graph, Refer:

https://brainly.com/question/19701097

#SPJ13

Answer:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

\(x = \sqrt{88} \)

Answer:

I think this is the answer

Answer:

x = 2 + 3y

Step-by-step explanation:

Given

3x = 6 + 9y ( divide the terms by 3 )

x = 2 + 3y