A number consists of two digits. The sum of its digits is 16. If 28 is subtracted from the number, the digits interchange their place. Find the number. |.Give the answer only ​

Answer:

\(x=\pm \sqrt{3}\)

Step-by-step explanation:

Consider the given polynomial is

\(P(x)=x^2-3\)

We need to find the zeros of the given polynomial.

Now,

\(P(x)=0\)

\(x^2-3=0\)

Add 3 on both sides.

\(x^2=3\)

Taking square root on both sides.

\(x=\pm \sqrt{3}\)

Therefore, zeros of the polynomial P(x) are \(-\sqrt{3} \text{ and }\sqrt{3}\).

To verify the relationship, put \(x=\sqrt{3}\) in P(x).

\(P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0\)

Put \(x=-\sqrt{3}\) in P(x).

\(P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0\)

Since P(x)=0 for both values, therefore relationship verified.

Answer:

75

Step-by-step explanation:

1 = 0.001 kilograms so 750 = 0.75, so - 675 by 750 and u get 75

Answer:

(x, y) arrow (-y, x)

Step-by-step explanation:

Therefore rule of counter is (x,y) arrow (-y,x) ...we have given a triangle is rotated 90'

If Ivan can complete the inventory in 2 hours and Justine can complete it in 3 hours, working together they will be able to complete one inventory in approximately 1.2 hours.

To find the time it takes for them to complete one inventory when working together, we can use the formula for the combined work rate:

1/T = 1/A + 1/B

Where T represents the time taken to complete the task, A is Ivan's work rate (in inventories per hour), and B is Justine's work rate (in inventories per hour).

Given that Ivan takes 2 hours to complete the inventory, his work rate is 1/2 inventories per hour. Justine takes 3 hours, so her work rate is 1/3 inventories per hour.

Substituting these values into the formula, we have:

1/T = 1/2 + 1/3

To simplify the equation, we find the common denominator of 2 and 3, which is 6. Multiplying the fractions by appropriate factors, we get:

1/T = 3/6 + 2/6

1/T = 5/6

To isolate T, we take the reciprocal of both sides:

T = 6/5

T = 1.2 hours

Therefore, when Ivan and Justine work together, it will take approximately 1.2 hours to complete one inventory.

To determine how long it will take for Ivan and Justine to complete one inventory when working together, we need to consider their individual rates of work. We are given that Ivan can complete the inventory in 2 hours, which means his work rate is 1 inventory per 2 hours. Similarly, Justine can complete the inventory in 3 hours, giving her a work rate of 1 inventory per 3 hours.

When two people work together on a task, their work rates can be added. In this case, the combined work rate can be calculated by summing Ivan's and Justine's individual work rates:

Combined work rate = Ivan's work rate + Justine's work rate

Combined work rate = 1/2 + 1/3

To find the time it takes for them to complete one inventory together, we can use the formula 1/T = 1/A + 1/B, where T represents the time taken, A represents Ivan's work rate, and B represents Justine's work rate.

Substituting the given work rates into the formula, we have:

1/T = 1/2 + 1/3

To simplify the equation, we find a common denominator of 6 and add the fractions:

1/T = 3/6 + 2/6

1/T = 5/6

To isolate T, we take the reciprocal of both sides:

T = 6/5

T = 1.2 hours

Therefore, when Ivan and Justine work together, it will take approximately 1.2 hours to complete one inventory. Their combined effort allows them to complete the task more quickly compared to working individually, as they can take advantage of their respective work rates.

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Answer:

7 po ang tamang sagot welcome

Answer:

A- -5 and 13

Answer:

x = 64

Step-by-step explanation:

90 + x + 26 = 180

116 + x = 180

x = 180 - 116

x = 64

Answer:

x=64

Step-by-step explanation:

x and 26 are complementary, which means they add to 90 degrees.

x+26=90

We want to find x, so we have to get x by itself. 26 is being added on to x. To undo this, subtract 26 from both sides, because subtraction is the opposite of addition.

x+26-26=90-26

x=90-26

x=64

So, x is 64 degrees

Answer:

Step-by-step explanation:

1 cubic foot is 12 * 12 * 12 cubic inches.

1 cubic foot = 1728 cubic inches.

1 cubic foot = 1728 cubic inches

x cubic feet = 3456                            Cross multiply

1728 x = 3456 * 1                                Divide by 1728

x = 3456/1728

x = 2  cubic feet.

The other way  to do this is

3456 cu inches [1 cubic Foot/1728 cubic inches] note that the units cancel and you are left with 1 division problem.

The question still comes to 2.

The mode is the category with the highest frequency in the distribution.

In a dataset or distribution, the mode refers to the value or category that appears most frequently. It represents the peak or most common observation in the dataset. Unlike the mean and median, which are measures of central tendency, the mode focuses on the frequency or occurrence of specific values or categories.

For example, if we have a dataset of test scores: 85, 92, 78, 92, 77, 85, 90. In this case, the mode would be 92 since it appears twice, which is more frequently than any other value.

In categorical data, the mode refers to the category or group with the highest frequency or count. For example, if we have a dataset of favorite colors: red, blue, green, blue, blue, yellow, green. In this case, the mode would be blue since it appears more frequently than any other color.

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This result indicates that the side length of the white square is 0. The area of one of the white squares can be determined by subtracting the area of the green border from the total area of each face of the cube.

The total area of each face of the cube is given by the formula: side length * side length.

Given that the edge of the cube is 10 feet, the total area of each face is:

Area of each face = 10 feet * 10 feet = 100 square feet

Now, let's consider the green border. Since each face has a white square centered on it, the dimensions of the white square will be smaller than the face itself.

Let's assume the side length of the white square is "x" feet. This means that the side length of the green border is (10 - x) / 2 feet on each side.

The area of the green border on each face is then:

Area of green border = (10 - x) / 2 * (10 - x) / 2 = (10 - x)^2 / 4 square feet

To find the area of the white square, we subtract the area of the green border from the total area of each face:

Area of white square = Area of each face - Area of green border

= 100 square feet - (10 - x)^2 / 4 square feet

Given that Marla has enough green paint to cover 300 square feet, we can set up the equation:

Area of white square * 6 (number of faces) = 300 square feet

(100 - (10 - x)^2 / 4) * 6 = 300

Now we can solve for x:

100 - (10 - x)^2 / 4 = 50

100 - (10 - x)^2 = 200

(10 - x)^2 = 100

Taking the square root of both sides:

10 - x = 10

x = 0

This result indicates that the side length of the white square is 0, which doesn't make sense in this context. It seems there might be an error or inconsistency in the given information or calculations.

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The sum of the second and third terms of the arithmetic progression is equal to 0.

Arithmetic progressions are sets whose terms are generated by expressions of the form:

y = a + r · (n - 1)

y = r · n + (a - r)

Where:

The sum of the second and third elements is:

n = 2

y = 2 · 2 - 5

y = - 1

n = 3

y = 2 · 3 - 5

y = 1

S = - 1 + 1

S = 0

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Answer:

Step-by-step explanation:

h = 8 cm,  r = 3 cm

A = 2×πr² + 2πr×h = 2πr×(r + h)

A = 2π×3×(3 + 8) =  66π cm² ≈ 207.35 cm²

h = 2×8 = 16 cm ,      r = 3 cm ,   2×66π = 132π cm²

A = 2π×3×(3 + 16) =  114π cm² ≠ 132π cm²  

h = 8 cm ,        r = 2×3 = 6 cm  ,   2×66π = 132π cm²

A = 2π×6×(6 + 8) =  168π cm² ≠ 132π cm²    

Part(A),

The total surface area of the cylinder is 207.35 cm².

Part(B),

The new surface area is about 2.55 times the original surface area, not double.

Part(C),

The new surface area is about 3.64 times the original surface area, not double.

A. To find the surface area of the cylinder, we need to find the area of the two circular bases and the curved lateral surface.

The formula for the area of a circle is A = πr², where r is the radius. So the area of the two circular bases is:

2πr² = 2π(3cm)² = 56.55 cm²

The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height. So the lateral surface area of the cylinder is:

2πrh = 2π(3cm)(8cm) = 150.8 cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = 2πr² + 2πrh = 56.55 cm² + 150.8 cm² = 207.35 cm²

B. No, if we double the height of the cylinder while keeping the radius constant, the surface area will not double. The surface area will increase, but not double.

When we double the height, the new height becomes 2 times 8cm = 16cm. Using the formula for the surface area of the cylinder, we get:

New Total Surface Area = 2π(3cm)² + 2π(3cm)(16cm) = 2π(3cm)(28cm) = 528 cm²

The original surface area was 207.35 cm².

The new surface area is 528 cm².

So the new surface area is about 2.55 times the original surface area, not double.

C. No, if we double the radius of the cylinder while keeping the height constant, the surface area will not double. The surface area will increase, but not double.

When we double the radius, the new radius becomes 2 times 3cm = 6cm. Using the formula for the surface area of the cylinder, we get:

New Total Surface Area = 2π(6cm)² + 2π(6cm)(8cm) = 2π(6cm)(20cm) = 753.98 cm²

The original surface area was 207.35 cm².

The new surface area is 753.98 cm².

So the new surface area is about 3.64 times the original surface area, not double.

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Answer:

Step-by-step explanation:

Substitute the values and solve for x:

The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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The given information is represented in the table as shown: Number of Hours, x, Since the Day Began0 5Number of Packaged Light Bulbs, y6,000 12,000Determine a linear function that models the relationship.

The number of packaged light bulbs is increasing linearly with respect to time. Therefore, we can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept, to model the relationship.

Let x be the number of hours since the day began and y be the number of packaged light bulbs. Using the given information, we can determine the slope of the line as follows: slope = (change in y)/(change in x) = (12,000 - 6,000)/(5 - 0) = 1,200Thus, the equation of the line is: y = 1,200x + b We can use the coordinates of a point on the line to find the y-intercept. From the table, we see that the factory begins the day with 6,000 packaged light bulbs, which means that the point (0, 6,000) lies on the line. Substituting x = 0 and y = 6,000 into the equation of the line, we get:6,000 = 1,200(0) + b Simplifying, we get: b = 6,000Thus, the equation of the line is: y = 1,200x + 6,000The initial value of this function is 6,000 and the rate of change is 1,200.

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The average rate of change of g(x) between x = 1 and x = 3 is 14.

The average rate of change of a function over an interval is given by the difference in the value of the function at the endpoints of the interval divided by the length of the interval.

In this case, we want to find the average rate of change of g(x) = 2x^3 - 3x^2 between x = 1 and x = 3.

We start by evaluating g(1) and g(3):

g(1) = 2(1)^3 - 3(1)^2 = -1

g(3) = 2(3)^3 - 3(3)^2 = 27

The length of the interval is the difference between the endpoints:

Length of interval = 3 - 1 = 2

Therefore, the average rate of change of g(x) over the interval [1, 3] is:

Average rate of change = (g(3) - g(1)) / (3 - 1) = (27 - (-1)) / 2 = 28 / 2 = 14

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Required annual income does Cecilia need to afford to borrow the money is $221,395.

To determine the annual income that Cecilia needs to afford borrowing $95,000 for the house she likes, we need to consider her debt-to-income ratio (DTI).

Normally, lenders require a DTI ratio of 43% or lower which means that the total amount of debt Cecilia has (including the mortgage payment) should not exceed 43% of her gross income.

Let a DTI ratio of 43%, Cecilia's annual income should be at least $221,395 to afford borrowing $95,000 for the house.

We can calculate it by multiplying the amount of the loan by 100 and dividing by the DTI ratio: $95,000 x 100 / 43 = $221,395

Hence, required annual income does Cecilia need to afford to borrow the money is $221,395.

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Answer:

Step-by-step explanation:

hey Can u help me answer this question ? The way you use your money reveals your true priorities. Knowing that, how could having budget categories help you prioritize your money ?

Answer:

C. If a number has a negative cube root, then the number is negative.  

Step-by-step explanation:

took the quiz

The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "

A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".

The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.

Given data ,

Let the statement be represented as A

Now , the inverse of the statement is A'

where A = "If a number is negative, then it has a negative cube root."

Now , the inverse of the conditional statement is

A' = " If a number does not have a negative cube root, then the number is not negative. "

Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "

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Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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The answer to your question is option c) 50%. To calculate the probability, we divide the favorable combinations by the total combinations: 2/6 = 1/3, which is equivalent to 33.33% (rounded).



Firstly, we need to determine the total number of options available to the passengers. As stated in the question, the airline offers three snack options (cookies, chips, and crackers) and two drink options (soda or water). Therefore, the total number of options available is six. Secondly, we need to identify the number of options that include both soda or water and cookies. Since the question specifically asks for the probability of a passenger choosing soda or water with cookies, we only need to consider the combinations that include these two options. There are a total of three snack options and two drink options, which means there are a total of six possible combinations. Out of these six combinations, three include cookies and either soda or water.

Finally, we can calculate the probability of a passenger choosing either soda or water with cookies by dividing the number of favorable outcomes (i.e. combinations that include both soda or water and cookies) by the total number of outcomes. Therefore, the probability is 3/6 or 50%.

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A distribution that has both mean and median of (-15) is referred to as a perfectly symmetrical distribution.

This is referred to as a type of distribution in which the values of the mean and the median are the same as they are the central component of inferential statistics.

In this scenario, we were given the mean and median to be of the same value which is (-15) which therefore denotes that the type of distribution is a perfectly symmetrical one.

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The answer is B. Nothing can be determined with just that information.

The percentage of ownership does not necessarily determine the type of ownership. The type of ownership can only be determined by the specific language used in the deed. The language will indicate whether the parties hold the property as joint tenants, tenants in common, tenants by the entirety, or some other form of ownership. The percentage of ownership may be relevant in some cases, such as in determining the distribution of profits or liabilities, but it does not determine the type of ownership. Therefore, without additional information about the language used in the deed, it is impossible to determine the type of ownership based solely on the percentages of ownership.

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The probability of flipping the unfair coin given that we observed five tails in a row is approximately 0.9048

Let's define

A: the event of picking the unfair coin

B: the event of getting five tails in a row

We want to find the conditional probability of picking the unfair coin given that we observed five tails in a row, or P(A|B).

Using Bayes' theorem, we have

P(A|B) = P(B|A) × P(A) / P(B)

P(B|A) is the probability of getting five tails in a row given that we are flipping the unfair coin. Since the unfair coin is not fair, we don't know its probability of coming up as tails, but let's assume it has a probability of 0.9 of coming up as tails. Thus, P(B|A) = 0.9^5 = 0.59049.

P(A) is the prior probability of picking the unfair coin, which is 0.5 since we picked one of two coins at random.

P(B) is the total probability of getting five tails in a row, which is the sum of the probabilities of getting five tails in a row with the fair coin and the unfair coin.

The probability of getting five tails in a row with the fair coin is 0.5^5 = 0.03125. The probability of picking the unfair coin and getting five tails in a row is P(B|A) × P(A) = 0.59049 × 0.5 = 0.295245. Thus, P(B) = 0.03125 + 0.295245 = 0.326495.

Now we can calculate P(A|B)

P(A|B) = P(B|A) × P(A) / P(B) = 0.59049 × 0.5 / 0.326495 = 0.9048

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Answer:

The statement "when 7 is added to 3 times a certain number, the result is 22" can be written as an equation:

3x + 7 = 22

To solve for the unknown number (which we'll call "x"), we need to get x by itself on one side of the equation. We can do this by subtracting 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7

Simplifying the left side gives us:

3x = 15

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 15 / 3

= 5

So, the number that we were looking for is 5.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

"When 7 is added to 3 times a certain number, the result 22"

Write this sentence algebraically.

7 + 3x = 22

We need to try and get 3x by itself to find its value, so subtract 7 from both sides.

3x = 22-7 = 15

3x = 15

3x simply means 3 multiplied by x.

So:

x = 15/3 = 5

x=5

the "certain number" is 5.

To check:

7 + 3x5 should equal 22.

7 + 15 = 22.

Hope this helps.

I used simplifying and qn 4 factorization

Answer:

24 songs

Step-by-step explanation:

I hope this helps!