Part D
? Question
Select all the expressions that result in a product that is a rational number.

Answer:

y-5=3/7(x-3)

Step-by-step explanation:

the 3/7 is a fraction

Answer:

ill help

Step-by-step explanation:

Answer:

Zarina is 8

Step-by-step explanation:

this is a little bit of what goes on in my head

400 the product of the ages / 50 her fathers age = ? her age

400 / 50 = 8

but you could also they can each be divided by 10

400 / 10 = 40

50 / 10 = 5

40 / 5 = 8

Zarina is 8 years old

Answer:

[tex] \huge{ \fbox{ \sf{10}}}[/tex]

Step-by-step explanation:

Remember that The sum of the interior angles of a triangle is two right angles ( 90 + 90 ) or 180 . Create an equation:

[tex] \sf{ \: 8x + 60 + 40 = 180}[/tex]

In the question, we are asked to find the value of x.

Now , Add the numbers : 60 and 40

[tex] \longrightarrow \sf \: 8x + 100 = 180[/tex]

Move 100 to RHS ( Right Hand Side ) and change it's sign

[tex] \longrightarrow{ \sf{8x = 180 - 100}}[/tex]

Subtract 100 from 180

[tex] \longrightarrow{ \sf{8x = 80}}[/tex]

Divide both sides by 8

[tex] \longrightarrow{ \sf{ \frac{8x}{8} = \frac{80}{8} }}[/tex]

[tex] \longrightarrow{ \sf{x = 10}}[/tex]

The value of x is 10

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:.25 or 1/4 there the same

Step-by-step explanation:

Trust me

1/8 cups of vinegar used for 2 tsp of lemon oil.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

As, per the table 2 tsp oil need for 1/4 C of Vinegar to clean.

Also, 1/2 cups of Vinegar can clean 4 tsp of oil the rate is

= 1/2 x 1/4

= 1/8

Thus, 1/8 cups of vinegar used.

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The marginal impact of X on Y at the sample average is approximately -984.54.

This means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units.

The marginal impact of X on Y can be obtained by taking the derivative of the regression equation with respect to X. In this case, the regression equation is Y = 874 - 76.6*X - 7.37*X2. Taking the derivative with respect to X, we get -76.6 - 2*7.37*X.

To find the marginal impact of X on Y at the sample average, we need to substitute the average value of X, which is 61, into the derivative expression. Plugging in X = 61, we have -76.6 - 2*7.37*61.

Calculating this expression, we get:

-76.6 - 2*7.37*61 = -76.6 - 907.94 = -984.54.

Therefore, the marginal impact of X on Y at the sample average is approximately -984.54.

In interpretation, this means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units. This indicates a negative relationship between X and Y in the regression model. However, it's important to note that this interpretation assumes that the regression model is appropriate for the data and that all relevant assumptions are met.

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a) The number of permutations of the letters in TRISKAIDEKAPHOBIA is: 168,038,400. b) The number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is: 1.142 x 10^26. c) The number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is: 1.196 x 10^64.

Permutations of letters in words:

(a) The word TRISKAIDEKAPHOBIA has 16 letters.

The letters "I" and "A" are repeated three times, while the letter "O" is repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in TRISKAIDEKAPHOBIA is:

16! / (3! * 3! * 2!) = 168,038,400.

(b) The word FLOCCINAUCINIHILIPILIFICATION has 29 letters.

The letters "I" are repeated six times, while the letters "L" and "N" are repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is:

29! / (6! * 2! * 2!) = 1.142 x 10^26.

(c) The word PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS has 45 letters.

Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is:

45! = 1.196 x 10^64.

(d) The word DERMATOGLYPHICS has 14 letters. Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in DERMATOGLYPHICS is:

14! = 87,178,291,200.

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True. the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure.

A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. Each trial in a binomial distribution has two possible outcomes, which are mutually exclusive and collectively exhaustive. These outcomes are typically classified as success or failure, yes or no, heads or tails, etc. Therefore, the statement that a binomial distribution categorizes outcomes into one of two mutually exclusive categories (a success or a failure) is true.

In more detail, a binomial distribution requires the following characteristics:

1. The experiment consists of a fixed number of trials, denoted by "n".

2. Each trial has only two possible outcomes, often referred to as success (S) and failure (F).

3. The probability of success, denoted by "p," remains constant across all trials.

4. The trials are independent of each other, meaning the outcome of one trial does not affect the outcome of any other trial.

By using these characteristics, the binomial distribution allows us to calculate the probabilities of different numbers of successes in the given number of trials. It provides a framework for understanding and predicting outcomes in situations where there are two mutually exclusive possibilities.

For example, consider flipping a fair coin 10 times and counting the number of heads (successes). In this case, the binomial distribution can help determine the probabilities of getting 0, 1, 2, 3, or more heads out of the 10 flips. The outcomes of heads and tails are mutually exclusive, and the probability of getting a head (success) or a tail (failure) is the same for each flip.

In summary, the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure. This distribution is widely used in various fields, including statistics, probability theory, and hypothesis testing, to analyze situations where there are only two possible outcomes for each trial.

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Answer:

the answer is 4:5

Step-by-step explanation:

because 2/8 ÷ 3/5 = 4/5 in ratio its 4:5

Answer:

Because depends on what you are going to work as you are most likely gonna use it

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

A=πr^2/2

In this case A=π*7.2^2/2

A= 81.43

12*6= 72m^2

no, he needs 1 more box

Answer:

2. twice a number n subtracted from fifteen and four-tenths

Step-by-step explanation:

An x-bar chart is an essential tool for monitoring and improving the production process by providing insights into the process's stability and helping to identify potential issues or improvements needed to maintain the quality of the manufactured shafts for fuel pumps.

(i) The center line (CL), lower control limit (LCL), and upper control limit (UCL) for the x-bar and R charts need to be calculated using the constants provided in Table Q(d). The values of the x-bar and R for each sample are given but are not specified in the question. The calculation of these control limits involves statistical formulas and the use of the given constants.

(ii) To formulate the x-bar and R charts, the calculated values of the x-bar and R for each sample need to be plotted on the respective charts. The x-bar chart displays the sample means over time, while the R chart shows the ranges of the samples. These charts help monitor the process and identify any points that fall outside the control limits, indicating potential process variations or abnormalities.

(iii) The x-bar chart provides valuable information about the central tendency or average of the sample measurements. By analyzing the data plotted on the x-bar chart, one can observe the stability and consistency of the production process. If the points on the x-bar chart fall within the control limits, it suggests that the process is in statistical control, meaning it is stable and producing consistent results. However, if any points exceed the control limits, it indicates that the process may be out of control, and further investigation is required to identify and address the sources of variation.

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Answer:

Step-by-step explanation:

Parallelogram.

To get from A to B you move 2 units left and 2 units up

To get from B to C you move 8 units right and no units up or down.

To get from C to D you move 2 units down and 2 units left.

To get from D to A you move 8 units left and no units down or up.

Answer:

S = 5000

Step-by-step explanation:

10000/2 = 5000

19. The fourth option is correct, as the angle is bisected.

20. 7x - 8 = 6x + 11 (since they are vertically opposite angles)

Answer:

14.571 time she gets her car washed

Step-by-step explanation:

Answer:

50cm

Step-by-step explanation:

4x-8cm is the same as 5x-20cm

because all sides of a square are equal

so 4x-8 5x-20 are same

finding x

add 20 to both sides

4x+14

5x

take away 4x from both

x=14

one side of circle is 5x14= 70-20=50

one side = 50cm

Answer:

(-5, -4)

Step-by-step explanation:

When you rotate a point 180 degree about the origin, the x coordinate will becomes its opposite, as well as the y-coordinate.

So, as an example, if a point was at -3, 7, after a 180 degree rotation, it would be 3, -7.

9514 1404 393

Answer:

  3x +2y = 4

Step-by-step explanation:

The standard form equation is easily found with a suitable graphing application. (See attached.) It is ...

  3x +2y = 4

__

Given two points, you can find the slope-intercept form of the equation using the two-point form of the equation for a line ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -2)/(2 -0)(x -0) +2

  y = -3/2x +2

Answer:

The fourth number is 92

Step-by-step explanation:

Let the fourth number be represented with x

Mean = Total sum of values / No of given values

Mean = 88

[tex]88= \frac{80+95+85+x}{4}\\ \\88=\frac{260+x}{4}\\ \\Cross\:Multiply\\\\88\times 4 = 260+x\\352= 260+x\\352-260=x\\92=x\\\\x=92[/tex]

Answer:

Step-by-step explanation:

5x + 9 = 2x - 3

subtract 2x from both sides

5x - 2x + 9 = 2x - 2x - 3

simplify:

3x + 9 = -3

subtract 9 from both sides:

3x + 9 - 9 = -3 - 12

simplify:

3x = -12

divide 3 on both sides:

3x = - 12

3        3

simplify:

x = -4

The Perimeter of the new rectangle is 66 inches.

The perimeter of a rectangle is equal to two times the length plus two times the width of the rectangle.

Here, Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.

Therefore, we can use this information to find the width of the rectangle by using the formula for the perimeter:2(L + W) = P50 = 2(17 + W)25 = 17 + W8 = W

So the width of the original rectangle is 8 inches.

Najib cuts out another rectangle that is the same length (17 inches) and twice as wide.

This means that the new width of the rectangle is 2 x 8 = 16 inches.

Using the formula for the perimeter again, we can find the perimeter of the new rectangle:P = 2(L + W)P = 2(17 + 16)P = 66

Therefore, the perimeter of the new rectangle is 66 inches.

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Answer:

Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Step-by-step explanation:

To find out how many cans of tomato sauce Adele used for the first batch of calzones, we can multiply the total number of cans of tomato sauce by the fraction used for the first batch.

The fraction used for the first batch is 5/12, so we can write:

(5/12) x 61

Simplifying the expression, we get:

(5 x 61) / 12 = 305/12

So Adele used approximately 25.42 cans of tomato sauce for the first batch of calzones.

To write this as a mixed number, we can divide the numerator by the denominator:

305 ÷ 12 = 25 with a remainder of 5

So the mixed number is:

25 5/12

Therefore, Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.

Answer:

option 2 is correct answer.

Answer: v = 9

Step-by-step explanation: Hi there!

First, add 9v on each side to get

v=9.

Answer:

v=9

Step-by-step explanation:

 −8v=9−9v

−8v=9+−9v

−8v=−9v+9

−8v+9v=−9v+9+9v

v=9

★ (9x² - 8x - 3) + (2x + 8)

We have to simply it[tex].[/tex]

⭆ 9x² - 8x - 3 + 2x + 8

⭆ 9x² - 8x + 2x - 3 + 8

⭆ 9x² - 6x + 5

∴ (C) is the correct answer.

At a price of $2, the quantity demanded is 20 units, while the quantity supplied is only 4 units. This indicates that the quantity demanded exceeds the quantity supplied, creating a situation of excess demand or a shortage of 16 units.

A surplus occurs when the quantity supplied exceeds the quantity demanded at a given price. In this case, the quantity supplied (4 units) is lower than the quantity demanded (20 units) at a price of $2, resulting in a surplus of 16 units.

To determine the occurrence of a surplus or shortage, we compare the quantity demanded and the quantity supplied at a given price. In this case, when the price is $2, the quantity demanded is 20 units, while the quantity supplied is 4 units.

Since the quantity demanded (20 units) exceeds the quantity supplied (4 units), there is a surplus of (20 - 4) 16 units. This means that at a price of $2, there will be an excess supply of 16 units in the market.

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It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.

To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.

Let's calculate the number of infected people after each week:

Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000

Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440

Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494

Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353

We can observe that the number of infected people increases each week by approximately 12%.

Now let's continue calculating the number of infected people until we reach or surpass 800,000:

Week 5: 157,353 + (12% of 157,353) ≈ 176,125

Week 6: 176,125 + (12% of 176,125) ≈ 197,375

Week 7: 197,375 + (12% of 197,375) ≈ 221,225

Week 8: 221,225 + (12% of 221,225) ≈ 247,861

Week 9: 247,861 + (12% of 247,861) ≈ 277,960

Week 10: 277,960 + (12% of 277,960) ≈ 312,011

Week 11: 312,011 + (12% of 312,011) ≈ 350,131

Week 12: 350,131 + (12% of 350,131) ≈ 392,157

As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.

To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:

Week 13: 392,157 + (12% of 392,157) ≈ 439,579

Week 14: 439,579 + (12% of 439,579) ≈ 492,205

Week 15: 492,205 + (12% of 492,205) ≈ 550,394

Week 16: 550,394 + (12% of 550,394) ≈ 614,915

Week 17: 614,915 + (12% of 614,915) ≈ 686,982

Week 18: 686,982 + (12% of 686,982) ≈ 767,180

Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.

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Answer:

[tex]144-108\sqrt2 \ \text{units}^2[/tex]

Step-by-step explanation:

Evaluate the given double integral bounded by the region made up of the circle, x²+y²=36, and the lines x=0 and y=x, using polar coordinates.

[tex]\iint_R (2x-y)dA[/tex]

(1) - Changing to polar coordinates from rectangular

[tex]\\\boxed{\left\begin{array}{ccc}\text{Using the following conversions:}\\\\x=r\cos \theta\\\\y=r \sin\theta\\\\r^2=x^2+y^2\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right}[/tex]

Limits:

r^2=36 => r=±6

∴ 0≤r≤6

and π/4≤θ≤π/2

Integrand:

[tex]2x-y \rightarrow 2r\cos(\theta)-r\sin(\theta)[/tex]

We now have,

[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r\cos(\theta)-r\sin(\theta))} \, rdrd\theta \\\\\Longrightarrow \boxed{\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta }[/tex]

(2) - Evaluating the integral

[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[\frac{2}{3}r^3\cos(\theta)-\frac{1}{3}r^3\sin(\theta)\Big]\limits^{6}_0 d\theta \\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[(\frac{2}{3}(6)^3\cos(\theta)-\frac{1}{3}(6)^3\sin(\theta))-(0)\Big] d\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}(144\cos(\theta)-72\sin(\theta))d\theta[/tex]

[tex]\Longrightarrow\Big[144\sin(\theta)+72\cos(\theta)\Big]\limits^{\pi/2}_{\pi/4}\\\\\\\Longrightarrow \Big[(144\sin(\pi/2)+72\cos(\pi/2))-(144\sin(\pi/4)+72\cos(\pi/4))\Big]\\\\\\\Longrightarrow \Big[(144)-(144(\frac{\sqrt{2} }{2} )+72(\frac{\sqrt{2} }{2} ))\Big] \\ \\ \\ \Longrightarrow \Big[(144)-(72\sqrt{2} +36\sqrt{2} )\Big]\\\\\\\Longrightarrow \boxed{144-108\sqrt2 \ \text{units}^2}[/tex]

Thus, the area of the region is [tex]144-108\sqrt2 \ \text{units}^2[/tex].