cardinalidad de: U = { a, b, c, d, e, f, g, h, i, j, k }

Answer:

12.6 cups

Step-by-step explanation:

each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.

Answer:

  (a)  18%

Step-by-step explanation:

The debt to credit ratio is found by dividing his debt by his credit limit.

__

  ratio = debt/credit limit = $1551.42/$8619.00 ≈ 0.18 = 18%

Quentin's debt to credit ratio is 18%.

The final answer is
O ∂^2z/∂x^2 = 12x^2
O ∂^2z/∂x∂y = ∂^2z/∂y∂x = -3
O ∂^2z/∂y^2 = 54y

To find the second partial derivatives, we first need to find the first partial derivatives:

∂z/∂x = 4x^3 - 3y
∂z/∂y = -3x + 27y^2

Now, we can find the second partial derivative:

∂^2z/∂x^2 = 12x^2
∂^2z/∂y^2 = 54y
∂^2z/∂x∂y = ∂/∂x (∂z/∂y) = ∂/∂y (∂z/∂x) =  -3
∂^2z/∂y∂x = ∂/∂y (∂z/∂x) = ∂/∂x (∂z/∂y) = -3

We can observe that the second mixed partials (∂^2z/∂x∂y and ∂^2z/∂y∂x) are equal, which is expected since z has continuous second partial derivatives and satisfies the conditions for the equality of mixed partials (i.e., the partial derivatives are all continuous in some open region containing the point of interest).

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Answer:

50 degrees

Step-by-step explanation:

100 - 60 degrees

therorem

Using the cross-multiplication method, we know that the house which costs £3.37  has a value of £4,493.33.

So, the value of the house costs £3.37:

Now, use the cross-multiplication method as follows:

Therefore, using the cross-multiplication method, we know that the house which costs £3.37  has a value of £4,493.33.

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Correct question:

To ensure a house valued at £3000 costs £2.25. Find the value of a house that costs £3.37.

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

a) $467

b) $642

The cost of renting the car of given function is 350$.

A special kind of function called an algebraic function is the answer to a polynomial equation with polynomial coefficients. Numerous hints about an algebraic function's characteristics can be found in its informal formulation. To gain an intuitive understanding, it may be helpful to regard algebraic functions as functions which can be formed by the usual algebraic operations: addition, multiplication, division, and taking an nth root.

The function is S(x)=110+60(x-1)=50+60x, for x=number of days total/partial, rounded up to the next integer.

Day 1 $110

Day 2 $110+60=$170

So S(4.5)=S(5)

S(4.5)=$110+$240=$350

Hence, the cost of renting the car is 350$

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The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Answer:

Step-by-step explanation:

(-2)*(-4.5)=9

(-8.7)*(-10)=87

-7x=14

x=14/-7=-2

?=-2

-----------------

-10x=90

x=90/-10

x=-9

Answer:

235.5

Step-by-step explanation:

To get the radius you need to divide 5 by 2 and you would get 2.5.  The formula for cylinder volume is πr^2h.  2.5^2 times 12 times π is 235.5

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

Step-by-step explanation: total income=$500

Ratio of partition of money6:3:4

( Which gives that lauren gets 6x, rachel gets 3x and Becca gets 4x)

6x+3x+4x=500

13x=$500

X=500/13 ( transposition method)

x= 38.46

So lauren gets 6(38.46)… rachel gets 3(38.46)while Becca gets 4(38.46)…

Lauren= 230.76

Rachel=115.38

Becca= 153.84

The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

for 12 pack of soap : 12/9=$1.33 per soap

for 5 pack of soap : 3.5/5=$0.70 per soap

#5 pack soap better to buy

Answer:

The coordinates of the point is (3,5 , 400)

Step-by-step explanation:

The question is incomplete as the graph is not given in the question. Lets complete the question first. I have attached the graph related to this question below.

We can see in the graph that x-axis represents the years while the y-axis represents the pennies collected by Harry.

We have to find the coordinates of the point where he is able to collect 400 pennies.

As y-axis represents pennies, and the point to be found is at 400 pennies, so the y-coordinates of the point is 400.

Harry collects 400 pennies when he is halfway through 4rth year, which means that he has been collecting for:

3 years + Half of 4rth year = 3.5 years.

As x-axis represents the year and the point to be found is at 3.5 years, so the x-coordinate of the point is 3.5.

So, the coordinates of the point is (3,5 , 400)

This point can be seen in the second graph

Answer: yes

Step-by-step explanation:

By substituting the first equation into the second, we get:

2x + 5*(2x +3) = 3

The correct option is the second one.

Here we have the system of equations:

y = 2x + 3

2x + 5y = 3

You can see that the variable "y" is already isolated in the first equation, so we can just substitute it in the second equation:

2x + 5*(2x +3) = 3

This is what we can see in the second option, so we conclude that the second option is the correct one.

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Answer:

g = 239 25/48

Step-by-step explanation:

To solve for g, we need to isolate g on one side of the equation. We can start by adding 156 to both sides:

2/3g = 3 13/24 + 156

2/3g = 159 17/24

Next, we can multiply both sides of the equation by 3/2 to cancel out the denominator of 2/3:

g = (159 17/24) * (3/2)

g = 239 25/48

So the solution for g is g = 239 25/48

(Please give brainlist)

Answer:

262.625 square inches

Step-by-step explanation:

10 x 15.5 = 155

10.25 x 10.5 = 107.625

add together = 262.625

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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Answer:

14\(\frac{2}{3}\)

Step-by-step explanation:

20 + 3.75x = 75  Subtract 20 from both sides

20 - 20 + 3.75x = 75 - 20

3.75x = 55  Divide both sides by 3.75

\(\frac{3.75x}{3.75}\) = \(\frac{55}{3.75}\)

x = 14\(\frac{2}{3}\)

Answer:

Yes

Step-by-step explanation:

-2 plugged into x would give you 4 then 4 + 5 is 9

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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He makes $8/49 for every 7 cups of juice, so his overall profits will be some multiple of $8/49.

Finding the worth of one unit of a quantity, then using this value to determine the value of a specified number of units of the quantity, is known as the unitary technique. When solving issues involving rates, ratios, and proportions, this approach is helpful. The fundamental tenet of the unitary technique is that we can use the value of one unit of a quantity to determine the value of any number of additional units of the same quantity.

given

Let's symbolise the cost of a cup of apple juice by the variable x.

So, a cup of lemon juice is sold for 3/2 times x, or (3/2)x.

Mr. Tan offers 5 cups of apple juice for every 2 cups of lemon juice. This indicates that there are 2.5 sales of lemon juice for every 1 sales of apple juice.

Assume Mr. Tan sells 5y cups of apple juice and 2y cups of lemon juice.

Based on the information provided, we can conclude that apple juice generates $12 more revenue than lemon juice.

in order to create an equation:

5yx = 2(3/2)x + 12

Simplifying:

5yx = 3x + 12

adding two to both sides:

10yx = 6x + 24

x(10y - 3) = 12

x = 12 / (10y - 3) (10y - 3)

We can now re-use this number of x to represent the revenue from apple juice in the equation:

5yx = 3x + 12

5y(12 / (10y - 3)) = 3(12 / (10y - 3)) + 12

Therefore, Mr. Tan charges $1/7 for each cup of apple juice and (3/2)($1/7) Equals $3/14 for each cup of lemon juice.

He charges (5/7)($1/7) = $5/49 for 5y = 5(1/7) = 5/7 glasses of apple juice.

For a sum of (2/7)($3/14) = $3/49, he sells 2y = 2(1/7) = 2/7 cups of lemon juice.

For each 7 cups of juice sold, Mr. Tan makes a sum of $5/49 + $3/49 = $8/49.

Consider that he offers 2n cups of lemon juice and 5n glasses of apple juice. (2n)($3/14) + (5n)($1/7) = $6n/49 + $5n/49 = $11n/49

He makes $8/49 for every 7 cups of juice sold, so his overall profits will be some multiple of $8/49.

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Answer:

a is the corect answer

Step-by-step explanation: