When the equation x-1/2-a/4=3a/4 is solved for x in terms or a the solution is?

x is a random variable that takes values on all positive integers. Then the events are:

(i) a^c = {0, 1, 5, 6, 7...........}

(ii) b^c = {0, 1, 2, 3}

(iii) ab = {4}

(iv) a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

a = {2 ≤ x ≤ 4} and b = {x ≥ 4}.

(i) We have to describe the events a^c

a = {2 ≤ x ≤ 4}

Then a^c = {x : x < 2 or x > 4}

So the elements are

a^c = {0, 1, 5, 6, 7...........}

(ii) We have to describe the events b^c

b = {x ≥ 4}.

Then b^c = {x : x < 4}

Then the elements are

b^c = {0, 1, 2, 3}

(iii) We have to describe the events ab.

The ab = a ∩ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

ab = {x : 2 ≤ x ≤ 4 ∩ x ≥ 4}

ab = {x : x = 4}

So, ab = {4}

(iv) We have to describe the events a ∪ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

a ∪ b = {x : 2 ≤ x ≤ 4 ∪ x ≥ 4}

a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

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Six different sized rectangles that have an area of 64 square units:

1) 64 units x 1 unit
2) 32 units x 2 units

3) 16 units x 4 units

4) 40 units x 1.4 units

5) 20 units x 3.2 unit

6) 10 units x 6.4 units

For given question,

Let l be the length of the rectangle and w be the width of the rectangle.

We know that, the area of a rectangle is equal to

A = l × w

Here, A = 64 square units

So, we get an equation

l × w = 64                     ...............................(1)

let's assume different values of l to get the different values of w.

Case 1) For l = 64 units

substitute in the equation 1

⇒ 64 × w = 64

⇒ w = 64/64

⇒ w = 1 units

The dimensions of the rectangle are 64 units x 1 unit

See the draw in the attached figure 1

Case 2) For l = 32 units

substitute in the equation 1

⇒ 32 × w = 64

⇒ w = 64/32

⇒ w = 2 units

The dimensions of the rectangle are 32 units x 2 unit

See the draw in the attached figure 2

Case 3) For l = 16 units

substitute in the equation 1

⇒ 16 × w = 64

⇒ w = 64/16

⇒ w = 4 units

The dimensions of the rectangle are 16 units x 4 unit

See the draw in the attached figure 3

Case 4) For l = 40 units

substitute in the equation 1

⇒ 40 × w = 64

⇒ w = 64/40

⇒ w = 1.4 units

The dimensions of the rectangle are 40 units x 1.4 unit

See the draw in the attached figure 4

Case 5) For l = 20 units

substitute in the equation 1

⇒ 20 × w = 64

⇒ w = 64/20

⇒ w = 3.2 units

The dimensions of the rectangle are 20 units x 3.2 unit

See the draw in the attached figure 5

Case 6) For l = 10 units

substitute in the equation 1

⇒ 10 × w = 64

⇒ w = 64/10

⇒ w = 6.4 units

The dimensions of the rectangle are 10 units x 6.4 unit

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The amount of money that Kaylee will have left after spending to by meat in Ruby's market would be = $5.01.

The total amount of money Kaylee has to spent in the market = $11

The quantity of sausage she ordered = 1/2pound

The price of per pound of sausage = $3.25

Therefore 1/2 pound = 3.25 × 1/2 = $1.63

The quantity of chicken she ordered = 1¾ pounds

The price per pound of chicken = $2.50

Therefore 1¾ pounds = 2.50 × 1¾ = $4.36

The total money spent on meat = 1.63 + 4.36 = $5.99

The amount that Kaylee would have left = 11-5.99=$5.01.

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Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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Answer:

Exponential decay

Step-by-step explanation:

the answer is not linear decrease cause the price doesn't decrease the same every year

.. ..

Answer:

a) $65,586.40

b) $14,186.40

c) $122,332

d) $70,932

Answer:

8.1

Step-by-step explanation:

Use Pythagoras to find the length of BD- 7.5^2 +5^2=81.25

The square root of 81.25 is 9.01

BD-9.01 cm

Then use the cos rule to find BC.

c=a2+b2﹣2abcosγ=9.012+132﹣2·9.01·13·cos(38°)≈8.09819(square root)

round to 8.1

In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation:

Answer:

F(-3) = -5

Step-by-step explanation:

I got it right on the test

Answer:

Step-by-step explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

Average rate of change of the function in the interval [-4, -2]

= \(\frac{f(-2)-f(-4)}{-2-(-4)}\)

= \(\frac{0-(-12)}{-2+4}\)

= 6

Average rate of change in the interval [-2, 1]                                                                            

= \(\frac{f(1)-f(-2)}{1-(-2)}\)

= \(\frac{3-0}{1-(-2)}\)

= 1

Average rate of change in the interval [-3, 1]

= \(\frac{f(1)-f(-3)}{1-(-3)}\)

= \(\frac{3-(-5)}{1+3}\)

= 2

Average rate of change in the interval [-4, 0]

= \(\frac{f(0)-f(-4)}{0-(-4)}\)

= \(\frac{4-(-12)}{0-(-4)}\)

= 4

When two dice are rolled, the probability of having both faces the same (doubles) or a total of 4 is 0.33 (rounded to the nearest hundredth). The probability of getting a double is 1/6 since there are 6 possible outcomes for the first die and 1 outcome for the second die that will result in a double.

Similarly, the probability of getting a total of 4 is 1/12, since there are three ways to get a total of 4: (1,3), (2,2), and (3,1). Therefore, the probability of getting either doubles or a total of 4 is P(doubles or total of 4) = P(doubles) + P(total of 4) - P(doubles and total of 4)= (1/6) + (1/12) - (1/36)= 0.33 (rounded to the nearest hundredth).

Therefore, the probability of having both faces the same (doubles) or a total of 4 when two dice are rolled is 0.33.

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Answer:

x+1=115.6

Step-by-step explanation:

an unknown x

plus a number imagine 1

so x+1=115.6

Answer: 32

Step-by-step explanation: 4/2=2 16*2=32

Anse

draw the line down the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

add 9 to both and then cancel out both 9s and add 3 and 9 together

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.

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Equation of parallel line : y = 2x  + 12

Equation of perpendicular line : y = -x/2 - 5.5

Given,

Equation of line : y = 2x -8

Now,

Firstly equation of parallel line :

When two lines are parallel there slope is equal .

So,

Equation of line 1 :   y = 2x -8

Slope = m = 2

Equation of line 2 passing through point (-7 , -2) :

Equation of line passing through points : y -y1 = m (x - x1)

y - (-2) = 2 (x - (-7))

y + 2 = 2 (x + 7)

y = 2x  + 12

Now,

Equation of perpendicular line :

When two lines are perpendicular there slope have relation :

m1m2 = -1 .

So,

Equation of line 1 :   y = 2x -8

Slope = m = 2

Equation of line 2 passing through point (-7 , -2) :

Equation of line passing through points : y -y1 = m (x - x1)

Slope of 2nd line :

2 (m2) = -1

m2 = -1/2

y - (-2) = (-1/2) (x - (-7))

y + 2 = (-1/2) (x + 7)

y = -x/2 - 5.5 .

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Answer: $36 I think. Originally I got 18 but that's not on there so I had to rethink. I know its not going to be 3 or 13 so I would say 36

Step-by-step explanation:

Answer:

This is very confusing. I think the answer is 18 but there is no $18, so your best guess would be $36. Here's my reasoning: If 2 pop-its cost $3, then 1 pop-it should cost $1.5, and 12*1.5 = 18. There's no 18, so I think it forgot that pop-its are $3 for 2 and instead gave the answer option for pop-its for $3 each, which is $36.

If this helps then please give brainliest

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

The transformations to the graph of the quadratic function are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Additionally, when the function is multiplied by |a| > 1, it is said that the function is vertically stretched by a factor of a.

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56.6 years  is the mean of the modes of the given set of numbers.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

The mean is calculated by adding together all the values

                 =  (54+54+54+55+56+57+57+58+58+60+60

                  = 623

                  =  56.6 years.

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Answer:

x = 8

\(x=1\frac{2}{3}\)

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

\(x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}\)

Ignore the A before the ±. It wouldn't let me type it correctly.

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

\(x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}\)

\(x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}\)

\(x=\frac{29±\sqrt{841-480} }{2(3)}\)

\(x=\frac{29±\sqrt{361} }{2(3)}\)

\(x=\frac{29±19 }{2(3)}\)

\(x=\frac{29±19 }{6}\)

Two separate equations

\(x=\frac{29+19 }{6}\)

\(x=\frac{48 }{6}\)

x = 8

\(x=\frac{29-19 }{6}\)

\(x=\frac{10 }{6}\)

\(x=\frac{5 }{3}\)

\(x=1\frac{2}{3}\)

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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Answer:

Here is question number one's perimeter and area.

The points you are giving are really low so I will just do one

Answer:4

Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.

Answer: B

Step-by-step explanation:

Answer:

Fourth option

Step-by-step explanation:

We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = \(\frac{mn}{pq}\), not \(\frac{mp + nq}{pq}\), therefore, the correct answer is the fourth option.

It is impossible to determine if 443 is a plausible value for the true average degree of polymerization.

The interval you mentioned might provide some information about the possible range of values for the true average degree of polymerization. However, it would depend on how the interval was calculated and what assumptions were made in the calculation.

In general, if the interval was calculated using a reliable and appropriate statistical method, and if the underlying data is representative and unbiased, then it is possible that 443 is a plausible value for the true average degree of polymerization. However, without more information about the context and the data, it is difficult to make any definitive conclusions.

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