Kendall has a house in the country. the width of his yard is 11 times the width of his back porch. the length of his yard is 5 times the width of his yard. the area of the yard is at least 10,200 square meters.

Answer:

x = 19

Step-by-step explanation:

I hope this helps!!

Step-by-step explanation:

6x + 5x - 6 = 32 + 9x

COMBINE LIKE TERMS:

11x - 6 = 32 + 9x

SUBTRACT 9X FROM BOTH SIDES:

2x - 6 = 32

ADD 6 TO BOTH SIDES

2x = 38

DIVIDE 2 FROM BOTH SIDES:

x = 19

ANSWER:

x = 19

Milan lives 200 miles from the mountains. Let x be Milan's average rate on the trip home. Then, his average rate on the trip there was x - 27.

We know that the distance to the mountains is the same in both directions, so we can set up the following equation:

(x)(4) = (x - 27)(7)

Solving for x, we get x = 44. This means that Milan's average rate on the trip home was 44 mph and his average rate on the trip there was 44 - 27 = 17 mph.

The total distance to the mountains is then 4 * 44 = 176 miles. However, we need to remember that Milan drove there and back, so the total distance is 176 * 2 = 200 miles.

Let x be Milan's average rate on the trip home.

Then, his average rate on the trip there was x - 27.

Set up the equation (x)(4) = (x - 27)(7).

Solve for x, which is 44.

The total distance to the mountains is then 4 * 44 = 176 miles.

Remember that Milan drove there and back, so the total distance is 176 * 2 = 200 miles.

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(1) It will take 8 hours to fill the pool completely.

(2) It will take 6 hours to empty the tank completely

1. With the two hoses turned on and the drain opened, it will take 24 hours to fill the pool completely. Let's find out how much of the pool each hose can fill in one hour. The first hose can fill 1/6 of the pool in one hour, and the second hose can fill 1/8 of the pool in one hour. When both hoses are turned on, they can fill 7/24 of the pool in one hour. After two hours, they will have filled 7/24 * 2 = 7/12 of the pool. With the drain now open, it will drain 1/12 of the pool in one hour. To find out how long it will take to fill the pool completely, we need to subtract the rate at which the pool is being drained from the rate at which it is being filled. This gives us (7/24 - 1/12) = 1/8. Therefore, it will take 8 hours to fill the pool completely.

2. With the second tap not working and the drain opened, it will take 6 hours to completely empty the tank. In one hour, the first tap can fill 1/4 of the tank, while the drain can empty 1/3 of the tank. So, the net rate at which the tank is being emptied is (1/3 - 1/4) = 1/12. After one hour, the tank will be (1/4 - 1/12) = 1/6 full. Since the tank is being emptied, the fraction of the tank that is emptied in each hour is (1 - 1/6) = 5/6. It will take 6/(5/6) = 7.2 hours to empty the tank completely. Rounding up, it will take 6 hours.

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Answer:  430000

Step-by-step explanation: you have to do pemdas

Answer: 430,000. /four hundred thirty thousand

Step-by-step explanation:

The value of 4.3 x 10^5 is 430,000.

To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.

Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.

By solving the improper fractions, there are 18 water stations in all.

This problem can be solved by two methods:

Method 1 :

First of all, calculate 13²/₃ miles in fraction. The value is 13.5 miles. Then calculate 3/4 mile in fraction. The value is .75 miles.

Now divide 13.5 miles by 0.75 miles.

13.5 ÷ 0.75 = 18

So, 18 water stations are there in all.

Method 2 :

Convert 13 ¹/₂ miles into an improper fraction from 27/2 miles.

Now, again divide 27/2 miles by 3/4.

27/2 ÷ 3/4 = ²⁷/₂ ₓ ⁴/₃ = 18

So, 18 water stations are there in all.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

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The weight gained by the spot dog during his time is 57/2 ounces.

An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.

The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.

Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.

Convert the mixed fraction into improper fraction:

4 3/4 = 19/4 ounces

The weight gained for 6 weeks is:

19/4 (6) = 114/4 = 57/2

Hence, the weight gained by the spot dog during his time is 57/2 ounces.

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9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in the given triangle are ...

  1 : √3 : 2 = shortest : middle length : longest

We can make the longest side match the given value if we multiply these numbers by 4√5

  y : x : 8√5 = 1(4√5) : √3(4√5) : 2(4√5) = 4√5 : 4√15 : 8√5

Then we have ...

  x = 4√15

  y = 4√5

Answer:

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

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

3x² + 5x + 2 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 2 = 6 and sum = + 5

the factors are 3 and 2

use these factors to split the x- term

3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - \(\frac{2}{3}\)

Total number of arrangements = n! - nC₁  × (n - 1)! - nC₁ × (n - 1)! + nC₂ × (n - 2)! + nC₁ × (n - 1)C₂ × (n - 3)! - nC₂ × (n - 2)C₁  × (n - 3)! + nC₁  × (n - 1)C₃ × (n - 4)! Suppose there are n rowing boats arranged in a square table with n rows and n columns. The solution is obtained through the application of permutations and combinations.

Step 1: We consider all the possible permutations of the rowing boats ignoring the fact that some boats may lie on the same row or column. The total number of such permutations is n!.

Step 2: We subtract from the number of permutations above, the number of permutations where two boats lie on the same row.

The number of permutations where two boats lie on the same row can be obtained as  nC₁  × (n - 1)!

Step 3: Next, we add to the number of permutations in step 2, the number of permutations where two boats lie on the same column.

The number of permutations where two boats lie on the same column can be obtained as nC₁  × (n - 1)!

Step 4: We then subtract the number of permutations where two boats lie on the same row and the same column.

This is because we counted these arrangements twice in step 2 and step 3. The number of such permutations is nC₂ × (n - 2)!

Step 5: Next, we add the number of permutations where three boats lie on the same row, since they are subtracted thrice in step 2, step 3, and step 4. The number of such permutations is nC₁  × (n - 1)C₂ × (n - 3)!

Step 6: We then subtract the number of permutations where two boats lie on the same row and two boats lie on the same column.

This is because we counted these arrangements twice in step 4 and step 5. The number of such permutations is nC₂ × (n - 2)C₁  × (n - 3)!

Step 7: We add the number of permutations where four boats lie on the same row or column since we subtracted them four times in step 2, step 3, step 4, and step 6. The number of such permutations is nC₁ × (n - 1)C₃ × (n - 4)!

Total number of arrangements = n! - nC₁  × (n - 1)! - nC₁ × (n - 1)! + nC₂ × (n - 2)! + nC₁ × (n - 1)C₂ × (n - 3)! - nC2 × (n - 2)C₁  × (n - 3)! + nC₁  × (n - 1)C₃ × (n - 4)!

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The probability that it will snow at least once during the next three days is $\frac{26}{27}$.

To find the probability that it will snow at least once during the next three days, it is easier to first calculate the probability that it will NOT snow at all in those three days and then subtract that value from 1.

The probability of no snow for one day is 1 - $\frac{2}{3}$ = $\frac{1}{3}$.

For three days, the probability of no snow on all three days is the product of the individual probabilities:
($\frac{1}{3}$) * ($\frac{1}{3}$) * ($\frac{1}{3}$) = $\frac{1}{27}$.

Now, to find the probability of it snowing at least once during those three days, subtract the probability of no snow on all three days from 1:

1 - $\frac{1}{27}$ = $\frac{26}{27}$.

So, the probability that it will snow at least once during the next three days is $\frac{26}{27}$.

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Answer:

for answer to be 2

mod of x +2 should be equal to 1

so the answer will be x = -3 or -1

for x = 1 we will get gx 0

for g(x) = -2 mod x +2 should be equal to 5

so x is -7 or 3

Answer:

See below

Step-by-step explanation:

Given sequence is:

\(7,\: \frac{28}{3},\:\frac{112}{9},\:\frac{448}{27},\:\frac{1792}{81}\:\)

Here,

First term \(a=7\)

Common ratio \(r=\frac{28}{7\times 3}=\frac{4}{3}\)

Formula for nth term of geometric sequence is given as:

\(a(k) =ar^{k-1}\)

Plugging the values of a and r in the above formula, we find:

\(\huge{\purple{a(k) =(7)\bigg(\frac{4}{3}\bigg)^{k-1}}}\)

This is the required explicit formula for the given geometric sequence.

About two-thirds of aluminum cans are recycled today. Aluminum cans are the most sustainable beverage package on virtually every measure.

According to the Can Manufacturers Institute, aluminum cans are recycled at a rate of 63.6% in the United States in 2019. This means that more than two-thirds of aluminum cans are recycled, which makes aluminum cans one of the most recycled beverage containers in the world.

In the recycling process, the aluminum is shredded, melted, and formed into blocks called ingots. These ingots can be used to make new aluminum cans, which saves energy and conserves natural resources.

Aluminum cans are infinitely recyclable, which means they can be recycled repeatedly without losing quality. Recycling one aluminum can saves enough energy to power a TV for three hours, and it saves enough energy to light a 100-watt bulb for 20 hours.

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Answer:

y is 90 and x is 180

Step-by-step explanation:

hope this helps srry if its wrong ;-;

Answer:

m=  \(\frac{-28}{27}\)

Step-by-step explanation:

Step 1: Plug in given points into slope formula.

m= \(y^2-y1/x^2-x^1\)

\((x^2, y^2)= (\frac{7}{2}, -3)\)

\((x^1, y^1)=(-1 ,\frac{5}{3})\)

m= \(\frac{5}{3} -(-3)/-1-\frac{2}{7}\)

Step 2: Subtract.

m=\(\frac{14}{3} /\frac{-9}{2}\)

Step 3: Simplify.

m=\(\frac{-28}{27}\)

Explanation: Since we only need two points to find the slope of the line, the given points can be plugged into the slope formula. After that, simply subtract and simplify. If anything does not make sense or my work is wrong, please let me know. Thanks.

Answer:

Let the measure of an angle be x then the measure of the complement of the angle is 90 – x and the measure of the supplement of the angle is 180 – x. Example: Find the measure of the complement and supplement of an angle with measure (5x – 2)°.

Step-by-step explanation:

Answer:

3(7)(x) = 252

21x = 252, so x = 12 feet

S = 2(3(12) + 3(7) + 7(12))

= 2(36 + 21 + 84) = 2(141)

= 282 square feet

Answer:

i would say division

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

First, we need to calculate 8.42% of $245.32

Then we need to add the 20.65 to 245.32

ANSWER

The cost with the sales tax is $265.98

Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

Bucket number 2 will contain 45 after sorting the data.

According to the statement, we are given that a data list is sorted using bucket sort with 4 buckets and we have to find which bucket will contain the number 45.

So, the given data list is:

76, 56, 93, 24, 45, 88, 13, 7, 37

The list of data is sorted into buckets and the data contains numbers from 0 to 100.

We know that the 100 numbers are being sorted with 4 buckets which means each bucket contains 25 numbers.

So, let us consider

BUCKET 1: 0 to 25

It contains data numbers 7, 13, and 24.

Now,

BUCKET 2: 25 to 50

It contains data numbers 37 and 45.

Now,

BUCKET 3: 50 to 75

It contains data number 56.

Now,

BUCKET 4: 75 to 100

It contains data numbers 76, 88, and 93.

From sorting, the 45 number sort in bucket 2.

So, bucket number 2 will contain 45 after the list is sorted.

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Answer:

  r = K * q / V

Step-by-step explanation:

V =  K * q / r

The height that describes how tall the tree is is 37.5 feet.

To determine how tall the tree is, we need to apply the proportion formula to arrive at the right answer. We express the values this way:

\(\frac{x}{75} = \frac{50}{30}\)

Now we cross multiply to have

30x = 1125

x = 1125/30

= 37.5

So, the length of the tree is 37.5 feet.

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No, it is not correct to conclude that the sample means cannot be treated as being from a normal distribution solely based on a small sample size of n = 15.

The Central Limit Theorem states that the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution, as the sample size increases. Therefore, even with a small sample size, the sample means can still be considered to follow a normal distribution under certain conditions.

The Central Limit Theorem assures that, as the sample size increases, the distribution of sample means becomes approximately normal, regardless of the shape of the population distribution. Although a sample size of n = 15 may be considered small, it is not sufficient to conclude that the sample means cannot be treated as following a normal distribution.

The applicability of the Central Limit Theorem depends on certain conditions, such as the independence of observations, a sufficiently large sample size, and the absence of extreme outliers. If these conditions are satisfied, the sample means can be treated as approximately normally distributed, even with a small sample size.

Therefore, it is not appropriate to conclude that the sample means cannot be treated as being from a normal distribution based solely on a small sample size of n = 15. Further analysis and consideration of the Central Limit Theorem should be conducted to determine the distributional properties of the sample means.

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Answer:

\(\huge\boxed{y=-x+9}\)

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

m - slope

b - y-intercept

From the graph we have the y-intercept (0, 9) → b = 9.

Substitute it to the equation of a line:

\(y=mx+9\)

From the graph we have the x-intercept (9, 0) → x = 9, y = 0.

Substitute to the equation:

\(0=9m+9\)          subtract 9 from both sides

\(-9=9m\)         divide both sides by 9

\(-1=m\to m=-1\)

Finally:

\(y=-1x+9\)