Jim can make 2 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can he make with
5 cups of flour?

After 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6

Using the formula for compound interest:

A = \(P(1 + \frac{r}{n} )^{nt}\)

Where:

A = the future amount (the amount Dan will owe after 9 years)

P = the principal amount (the initial borrowed amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = $8000

r = 18% = 0.18 (as a decimal)

n = 12 (monthly compounding)

t = 9 years

substitute the values into the formula:

A = \(8000(1 + \frac{0.18}{12} )^{12*9}\)

A = \(8000(1 + 0.015)^{108}\)

 = \(8000(1.015)^{108}\)

 = 8000(1.6487)

A = $13,189.6

Therefore, after 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6.

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Answer:

6 is greater than -6

Explanation:

Hope it helps you..

Your welcome in advance..

(ㆁωㆁ)

Step-by-step explanation:

i used elimination method

Since ∠2 = ∠HTJ  and ∠JTP = ∠J + ∠1 , the pair of alternate interior angles will be equal and hence p will be parallel to q.

Geometry is the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues.

Given is a geometrical figure as shown in the image.

Now, it is given that ∠1 and ∠2 are complementary. Therefore, we can write-

∠1 + ∠2 = 90°

Now, consider the triangle HJT. We can write -

∠1 + ∠JHT + ∠HTJ = 180°

(90° - ∠2) + 90 + ∠HTJ = 180°

∠2 = ∠HTJ           [1]

Now -

∠HTJ + ∠JTP = 180°

∠JTP =  180° - ∠HTJ          [2]

and -

∠1 + ∠J + ∠2 = 180°

But -

∠2 = ∠HTJ

So -

∠1 + ∠J + ∠HTJ = 180°

∠1 + ∠J = 180° - ∠HTJ         [3]

So from [2] and [3], we can write -

∠JTP = ∠J + ∠1              [4]

Now, from Equations [1] and [4], the pair of alternate interior angles will be equal. Therefore, p will be parallel to q.

Therefore, since ∠2 = ∠HTJ  and ∠JTP = ∠J + ∠1 , the pair of alternate interior angles will be equal and hence p will be parallel to q.

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Answer:

divide the 3x by the 6

Step-by-step explanation:

hdududhr

Answer:

3(x-2)

Step-by-step explanation:

hope i helped <3 :P

The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date).

An upcoming monthly schedule contains 12 games.a. Expected number of wins for the upcoming month:

Let X = number of games won in November 2005.The number of wins in a given game follows a Bernoulli distribution with probability of success p = 0.3694 and q = 1 - p = 0.6306.The expected number of wins in n Bernoulli trials is np.E(X) = npExpected number of wins for the upcoming month E(X) = 12 × 0.3694 = 4.4328

Therefore, the expected number of wins for the upcoming month is 4.4328.b. Suppose X = N(3, 2).What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.)

We have, μ = 3 and σ = 2Standard deviation is defined as the square root of the variance.The variance of the normal distribution is σ² = 2² = 4.Two standard deviations to the right of the mean means a z-score of 2.The z-score is calculated using the formula:

z = (x - μ) / σ2

= (x - 3) / 2x - 3

= 4x

= 7

Hence, the value of x is 7.c. Suppose X ∼ N(18, 3).

Between what x values does 68.27% of the data lie?We have, μ = 18 and σ = 3.68.27% of the data is within one standard deviation of the mean, which means the z-score is between -1 and 1.Using the formula: z = (x - μ) / σFor the lower limit, z = -1 -1 = (x - 18) / 3x = -3 + 18 = 15For the upper limit, z = 1 1 = (x - 18) / 3x = 3 + 18 = 21Hence, the data lies between x = 15 and x = 21.Therefore, the Answer is Option E: Between x = 15 and x = 21.

In summary, the expected number of wins for the upcoming month for San Jose Sharks is 4.4328. For X = N(3,2), the value of x is 7. For X ∼ N(18, 3), the data lies between x = 15 and x = 21.

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Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Given that:

(1/2x)+(1/3y) = 2 --------(1)

(1/3x)+(1/2y) = 13/6-----(2)

Put 1/x = a and 1/y = b then

(1) becomes

(a/2 )+( b/3) = 2

⇛ (3a+2b)/6 = 2

⇛ 3a+2b = 2×6

⇛ 3a+2b = 12 --------(3)

(2) becomes

(a/3)+(b/2)=13/6

⇛ (2a+3b)/6 = 13/6

⇛ 2a+3b=13----------(4)

On adding (3)&(4) then

3a+2b=12

2a+3b=13

(+)

_________

5a+5b = 25

_________

⇛ 5a+5b = 25

⇛ 5(a+b)=25

⇛ a+b=25/5

⇛ a+b=5 -------------(5)

On subtracting (3) from (4)

2a+3b=13

3a+2b=12

(-)

_________

-a+b = 1

_________

⇛ -a+b = 1

⇛ b = 1+a --------(6)

On Substituting the value of b in (5) then

a+1+a = 5

⇛2a+1 = 5

⇛ 2a = 5-1

⇛ 2a = 4

⇛ a = 4/2

⇛ a = 2

On Substituting the value of a in (6) then

b = 1+2

b = 3

Now,

a = 2

⇛ 1/x=2

⇛ “x” = 1/2

and

b= 3

⇛ 1/y = 3

⇛“y” = 1/3

Answer:- Hence, the value of x and y with be 1/2 and 1/3 respectively.

The solution for the given problem is (1/2,1/3)

Check:-

If x = 1/2 and y = 1/3 then

LHS = (1/2x)+(1/3y)

= 1/2(1/2)+1/3(1/3)

= 1/(2/2)+1/(3/3)

= (1/1)+(1/1)

= 1+1

=2

= RHS

LHS=RHS is true

and

LHS=(1/3x)+(1/2y)

⇛ 1/3(1/2)+ 1/2(1/3)

⇛ 1/(3/2)+1/(2/3)

⇛ (2/3)+(3/2)

⇛ (4+9)/6

⇛ 13/6

⇛ RHS

LHS = RHS is true

also read similar questions: Simultaneous equations: 1. 2x+2y=10 X+2y=6 2. 3x+y=18 2x+y=13 3. X+y=1 X-y=5 4. 3x+4y=29 X-4y=-17 5. 4c+3y=11 2x+y=7

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Answer:

12.42 Gallons = 54.58 L

=> the gas cost per = $35.89/54.58 l = $0.6575/ l

Step-by-step explanation:

The absolute value of one and two thirds times negative one, minus three, is equal to eight..(2/3)^2 - (-1)^2 - (-3) = (4/9) + 1 + 3 = 8

To calculate the expression -|ab|2−c when a=1 2/3 , b=−1 , and c=−3, first we need to calculate the absolute value of ab. Since a is 1 2/3 and b is -1, we need to calculate the product of 1 2/3 and -1. This gives us -1 2/3. Then, we need to calculate the square of -1 2/3. This gives us 4/9.

Next, we need to add 4/9 to 1 and 3. This is because b is -1 and c is -3, so we need to add the squares of -1 and -3. This gives us the result of 8. Therefore, the expression -|ab|2−c when a=1 2/3 , b=−1 , and c=−3 is equal to 8.

.(2/3)^2 - (-1)^2 - (-3) = (4/9) + 1 + 3 = 8

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The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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Answer:

10x+3y+2

Step-by-step explanation:

The direction of A with respect to B. N B 73° N A is 287

A direction is the way that something is moving, directing, or moving toward something or someone. The directions could be Up, Down, Left, and Right, or North, South, East, and West.

The ability to specify where one thing is in relation to another is known as position in mathematics. Defining direction entails explaining the direction in which something moves, such as forward, backward, or in a full or half turn.

It is possible to define direction using relative terms like up, down, in, out, left, right, forward, backward, or sideways. A direction can also be denoted by one of the four cardinal directions: north, south, east, or west.

Angles at a point add up to 360 degrees.

⇒ Bearing from A to B is = 360° - 73° = 287°.

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Told to walk in first week = 5km

Told to walk in second week = 8km

Told to walk in third week = 11km

It is forming a pattern,

5km      8km      11km       ..........

     +3       +3        +3

5km      8km     11km     14km     17km     20km    23km     26km   29km     32km

    +3       +3        +3       +3        +3        +3        +3         +3      +3  

The patient has to walk 32km in the 10th week.

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Answer:

y=8

x=12

Step-by-step explanation:

C.) right and isosceles, but not equilateral

Answer:

C.) right and isosceles, but not equilateral

Step-by-step explanation:

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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The equality that holds in relational algebra is III. R â© S = R NATURAL-JOIN S. In conclusion, the equalities I and II hold in relational algebra, while equalities III and IV do not.

To explain why, let's first review what each of the equalities means:
I. R â© S = R - (R - S) means that the result of R â© S (which is the set of all tuples that appear in both R and S) is equal to the set of tuples in R that do not appear in S.
II. R â© S = S - (S - R) means that the result of R â© S is equal to the set of tuples in S that do not appear in R.
III. R â© S = R NATURAL-JOIN S means that the result of R â© S is equal to the set of all tuples that have matching values for all attributes in both R and S.
IV. R â© S = R x S means that the result of R â© S is equal to the Cartesian product of R and S (i.e., all possible combinations of tuples from R and S).
Now, we know that R and S have exactly the same schema (i.e., the same attributes), so all of the equalities are possible. However, only III. R â© S = R NATURAL-JOIN S is guaranteed to hold, because it matches the definition of the intersection of two sets.
In contrast, I and II only work if one relation is a subset of the other (which is not necessarily true in this case), and IV gives us a much larger result set than we want (since it includes all possible combinations of tuples, not just the ones with matching values for all attributes).

Let's analyze each of the given equalities to determine which ones hold in relational algebra.
I. R ∪ S = R - (R - S)
This equality holds in relational algebra. The expression on the right side, R - (R - S), represents the union of R and S. It works by removing the difference between R and S from R, thus combining the two relations.
II. R ∪ S = S - (S - R)
This equality also holds in relational algebra. It is the same as the first equality, with the roles of R and S reversed. In this case, the expression on the right side, S - (S - R), represents the union of R and S by removing the difference between S and R from S.
III. R ∪ S = R NATURAL-JOIN S
This equality does not hold in relational algebra. The union operation (R ∪ S) combines all tuples from R and S, whereas the natural join (R NATURAL-JOIN S) combines only tuples with matching values in the shared attributes (A, B) from R and S.
IV. R ∪ S = R x S
This equality does not hold in relational algebra. The union operation (R ∪ S) combines all tuples from R and S, whereas the Cartesian product (R x S) generates all possible combinations of tuples from R and S, resulting in a much larger relation.
In conclusion, the equalities I and II hold in relational algebra, while equalities III and IV do not.

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Answer:

A data type is an attribute associated with a piece of data that tells a computer system how to interpret its value

Step-by-step explanation:

Data types categorize data and specify its nature, amount characteristics, and behavior. It decides how data is handled within a computer system in terms of storage and manipulation.

Data types categorize data and specify its nature, characteristics, and behavior. It is a crucial part of every data structure and computer language. Primitive data types and complex data types are the two basic divisions of data types. Basic types like numbers, characters, booleans, and strings are examples of primitive data types. Arrays, objects, and records are examples of sophisticated data types that are more complex. Data types specify how information is handled and stored by computer systems. Size, precision, and range are a few examples of the unique qualities that each data type possesses. The arithmetic, comparison, and logic operations that can be carried out on the data are also determined by the data types.

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Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

Answer:

answer is 4.0 it is the answer

Answer:

350 cm

Step-by-step explanation:

there are 100 cm in 1 meter so if there were 3.5  meters it would be broken down to 100,100,100 and adding the half which is 50.

Hope this helped!

Answer:

3=m/12

3×12=m

36=m.

................

Answer:

x=-4 and x=3

Step-by-step explanation:

If y=0, then we use the Zero Product Property:

0=(x+4)(x-3)

x+4=0

x=-4

x-3=0

x=3

Answer:

100 chocolate bars

Step-by-step explanation:

30 ÷ 3 = 10 so you need to times 10 by 10?

hope that helps!

the function f(n) is of the order of n^5, and the smallest integer k is 5.

To find the smallest integer k so that f(n) = n^3 n^4/n^2 1 is order of nᵏ, we need to simplify the expression first. We can simplify the expression as follows:

f(n) = n^(3+4-2)

f(n) = n^5

Now we can see that f(n) is order of n^5. Therefore, the smallest integer k is 5.
Hi! To find the smallest integer k for the function f(n) = n^3 * n^4 / n^2, we first need to simplify the expression.

f(n) = (n^3 * n^4) / n^2 = n^(3+4) / n^2 = n^7 / n^2

Now, using the exponent properties, we can simplify it further:

f(n) = n^(7-2) = n^5

So, the function f(n) is of the order of n^5, and the smallest integer k is 5.

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To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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