1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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Answer:

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

horiz = 5

vertic = 2

y inter =13/2

x inter =13/5

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The probability that represents the likelihood of a single event occurring by itself is called marginal probability.

Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.

To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.

Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.

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Answer:

7

Step-by-step explanation:

Answer:

It equals 7 :)

Step-by-step explanation:

You  have to subtract 10 and three that is how you get three

Answer:

-10.2 and -7.2

6 and 9

Step-by-step explanation:

Let the numbers be x and y.

x² + y² = 117

y = 2x - 3

x² + (2x - 3)² = 117

x² + 4x² - 12x + 9 = 117

5x² - 12x - 108 = 0

(5x + 18)(x - 6) = 0

5x + 18 = 0  or x - 6 = 0

x = -18/5 or x = 6

x = -3.6 or x = 6

y = 2x - 3

y = 2(-3.6) - 3

y = -10.2

y = 2x - 3

y = 2(6) - 3

y = 9

Answer:

-3.6 and -10.2

6 and 9

Answer:

74%

Step-by-step explanation:

Answer:

-2/-5 = 2/5

Step-by-step explanation:

The total distance covered by Zachary is found using Pythagoras Theorem, which is 17.39 miles.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the total distance Zachary walked, we need to add up the distance from his home to Ian's house, the distance from Dustin's house back to his home, and the distance they walked through the field. We can use the Pythagorean theorem to find the distance they walked through the field, since they cut directly through it.

Let's call the distance they walked through the field d.

Then we have the equation -

d² = (5 miles)² + (2 miles)²

d² = 25 + 4

d² = 29

d ≈ 5.39 miles

So, Zachary walked a total distance of -

2 miles (from home to Dustin's) + 5 miles (from home to Ian's) + 5.39 miles (through the field) + 5 miles (from Dustin's back home) = 17.39 miles

Therefore, Zachary walked a total distance of approximately 17.39 miles.

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Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,

The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.

In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.

To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.

The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.

The volume of this solid is calculated by the equation

=> V = π∫ln 8eˣdx,

where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi

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Answer:

slope=7/8

Step-by-step explanation:

8-1/10-2= 7/8

The sum of the given series cannot be found since it diverges to infinity.

The series Σ2 3(3)*+2 can be written as Σ2 * 3^n, where n starts from 3. This is a geometric series with common ratio of 3 and first term of 2.

To determine whether the series converges or diverges, we can use the formula for the sum of a geometric series:

S = a(1 - r^n)/(1 - r), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 2, r = 3, and n starts from 3. As n approaches infinity, r^n approaches infinity as well. Therefore, the denominator of the formula becomes infinity minus 1, which is still infinity.

This means that the series diverges, since the sum would be infinite.

In summary, the answer is: A. It diverges.  The sum of the given series cannot be found since it diverges to infinity.

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Answer: B

Step-by-step explanation:

y = 72.49x0.50

Answer:

B

Step-by-step explanation:

edge2023 and because i said so ;)

The conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

Let E be the case where you choose the bogus coin and F be the case where you got heads twice. We wish to calculate P(E|F), which is the likelihood that you chose the fake coin given that you received heads twice.

By Bayes' theorem, we have:

P(E|F) = P(F|E)P(E) / P(F)

We can calculate each term on the right-hand side as follows:

P(F|E) = 1, Because the fake coin contains heads on both sides and always results in two heads when flipped.

P(E) = 1/n, since there is only one fake coin among n coins.

P(F) = P(F|E)P(E) + P(F|not E)P(not E), where not E is the event that you picked a normal coin. We can calculate:

P(F|not E) = (n-1) * (1/2)^2 = (n-1)/4, Because each normal coin has a 50% chance of revealing heads on each given flip and there are n-1 normal coins

P(not E) = (n-1)/n, since there are n-1 normal coins among n coins.

Therefore, we have:

P(F) = 1 * (1/n) + (n-1)/4 * (n-1)/n = (3n-1)/(4n)

Substituting these values into Bayes' theorem, we get:

P(E|F) = 1 * (1/n) / ((3n-1)/(4n)) = 4/(3n-1)

Thus, the conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

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The cost of ingredients for a cake is $3.49, and the total weekly sales from selling 150 cakes are $976. We will calculate the food cost percentage. The food cost percentage is approximately 35.76%.

To calculate the food cost percentage, we need to determine the portion of the total sales that goes towards the cost of ingredients. The food cost is the cost of ingredients, and the total sales is the revenue generated.

First, we calculate the cost per cake:

Cost per cake = Cost of ingredients / Number of cakes sold

Cost per cake = $3.49 / 150 cakes

Cost per cake ≈ $0.0233

Next, we calculate the total cost of ingredients for all the cakes sold:

Total cost of ingredients = Cost per cake * Number of cakes sold

Total cost of ingredients = $0.0233 * 150 cakes

Total cost of ingredients = $3.495

Now, we can calculate the food cost percentage:

Food cost percentage = (Total cost of ingredients / Total sales) * 100

Food cost percentage = ($3.495 / $976) * 100

Food cost percentage ≈ 0.3576 * 100

Food cost percentage ≈ 35.76%

Therefore, the food cost percentage is approximately 35.76%.

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We reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100, with a type I error rate of 10% and a p-value of 0.0068 indicating a low probability of obtaining the observed sample mean if the null hypothesis were true.

To test if the true average temperature of COVID patients exceeds 100, we can use a one-sample z-test.

The null and alternative hypotheses are

Null hypothesis: The true average temperature of COVID patients is less than or equal to 100.

Alternative hypothesis: The true average temperature of COVID patients exceeds 100.

We can calculate the test statistic as

z = (x - μ) / (σ / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (100 in this case), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get

z = (101.2 - 100) / (6 / sqrt(56))

z = 2.47

We can find that the p-value is 0.0068. This means that if the true average temperature of COVID patients is actually 100, there is only a 0.68% chance of getting a sample mean of 101.2 or higher.

Since the alpha level is 10%, and the p-value is less than 10%, we reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100.

The type of error that could have occurred is a type I error, which is rejecting the null hypothesis when it is actually true. The probability of a type I error is equal to the chosen alpha level, which is 10% in this case.

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Answer:

No i dont think so i think they are closed under a square rooting i am sos so so so so sorry if im wrong

The table that represents a function is the table in which each value of x is mapped to a single value of y.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

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The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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Answer:

https://brainly.com/question/14526835?referrer=searchResults#

some one already answered the question you have  

Step-by-step explanation:

Answer: Distance = 4√5

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-8, -4)

(x₂, y₂) = (0, -8)

Given equation

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute values into the equation

\(Distance=\sqrt{(0+8)^2+(-8+4)^2}\)

Simplify values in the parentheses through addition

\(Distance=\sqrt{(8)^2+(-4)^2}\)

Simplify exponents

\(Distance=\sqrt{64+16}\)

Simplify by addition

\(Distance=\sqrt{80}\)

Simplify the radical value into the simplest form

\(Distance=4\sqrt{5}\)

Hope this helps!! :)

Please let me know if you have any questions

The equations \(x^2 = y + 1\) and\(x = y^2 + 1\)  are 1-1 functions, while\(x^2 + y^2\)  = 1 and the set of points {(2,1), (-2,3), (5,7), (2,3)} are not 1-1 functions.

To determine if a function is 1-1 (injective), we need to check if each input (x-value) is associated with a unique output

\(x^2 + y^2 = 1\)  is a  circle with a radius of 1 centered at the origin (0, 0). Since multiple points on the circle satisfy the equation and  is not a 1-1 function.

{(2,1), (-2,3), (5,7), (2,3)} do not  represent a function as there are multiple y-values associated with the same x-value.

Therefore, it is not a 1-1 function.

x² = y + 1 is  a parabola opening upward. For each x-value, there is a unique y-value that satisfies the equation.

Therefore, it is a 1-1 function.

x = y² + 1 is  a parabola opening to the right. For each y-value, there is a unique x-value that satisfies the equation.

herefore, it is a 1-1 function.

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Answer:

x= 14

Step-by-step explanation:

sqrt( x-5) = x-11

Square each side

(sqrt( x-5))^2 = (x-11)^2

x-5 = x^2 - 22x +121

Subtract (x-5) from each side

x-5-x+5 = x^2 -22x +121 -x+5

0 = x^2 -23x +126

Factor

0 = ( x-14) ( x-9)

Using the zero product property

x-14 = 0   x-9=0

x=14 x=9

Check the solutions

sqrt( x-5) = x-11

sqrt( 14-5) = 14-11

sqrt(9) = 3

3=3

solution

sqrt( x-5) = x-11

sqrt(9-5) = 9-11

sqrt(4) =-2

2 = -2

not a solution

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62

When a dataset is sorted in order of magnitude, the median, a statistical measure of central tendency, reflects the middle value of the dataset. The values must first be arranged from lowest to highest in order to determine the median (or largest to smallest). The median is the middle value when the dataset has an odd number of values. The median is indeed the average of the two middle values when the dataset does have an even number of values.

given

We must first determine the values of the first and third quartiles in order to determine the interquartile range (IQR) of a data set.

The median of the lower half of the data set makes up the first quartile (Q1), and the median of the higher half, the third quartile (Q3).

For this data set's Q1 and Q3, you can:

Sort the information from smallest to largest:

23 33 45 48 76 78 94 94

Determine the data set's overall median.

The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62 .

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Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust