1 over 32 divided by cubed root 2 = 2 to the power of N
Work out the value of N

Answer:

\(\frac{38}{125}\)

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

−88p + 52

Step-by-step explanation:

Answer:

16 (D)

Step-by-step explanation:

(-1/2) = -0.5

-0.5^-4 = 16

Answer:

Step-by-step explanation:

a) Alyssa's expectation Alyssa's expectation is calculated by multiplying the probability of each possible outcome by the value of the outcome. The expectation is the sum of all of these products. There are six possible outcomes when a die is rolled: 1, 2, 3, 4, 5, and 6.

We may calculate the probability of each possible outcome by dividing the number of ways that outcome can occur by the total number of possible outcomes. There is one way to get a 6 when rolling a die, and there are six possible outcomes, so the probability of rolling a 6 is 1/6. When Alyssa rolls a 6, she pays Gabriel \($10\). Alyssa's expectation is thus:

\(Expectation= [(1/6) x (-$10)] + [(5/6) x ($0)]\\Expectation= -$1.67\)

Therefore, Alyssa's expectation is \(-$1.67\), rounded to the nearest cent.  b) Gabriel's expectation Gabriel's expectation is the opposite of Alyssa's expectation since he is the one receiving money. Gabriel's expectation is \($1.67\), rounded to the nearest cent.

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The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.

The pentagonal prism is a prism with five rectangular sides and two pentagonal base

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Answer:

The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

Step-by-step explanation:

hope this helped!

Answer:

A = 15 mm²

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the cross section and h the depth )

here h = 12 and V = 180 , then

A × 12 = 180 ( divide both sides by 12 )

A = 15 mm²

x + yi = (1 + i)⁴

then -4 + 4 = x

2x + 35 = 8x - 49

x = 14

2(14) + 35 = 63

<A = 63 degrees

Answer:

(3,-3)

Step-by-step explanation:

First you divide 2 out of the first equation and it turns into 5x+y=12.

Then you write one on top of the other so you can add them. It looks like:

5x + y = 12

-5x + y = -18

Then you add them together and the 5x's cancel each other out and you are left with 2y = -6

So then you divide both sides by 2 and get y = -3

Then you plug -3 into the second equation because it is simpler and get -5x - 3 = -18

So then you add three to both sides and get -5x = -15

And finally you divide both sides by -5 and get x=3

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

a

Step-by-step explanation:

Answer:

E. Take points and kill GF

Step-by-step explanation:

Answer:

grab the points and rap battle him

Step-by-step explanation:

because why not have a rap battle for the points

Jamie should accept the second option to buy a new refrigerator for his apartment.

What is the Annual Interest?

The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.

The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.

Option 1:

The annual interest rate for the first card = $1300 x 16.5%

The annual interest rate = $214.5

The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.

The monthly finance charge

= 1300 x 0.165/12

The monthly finance charge = $17.88

Now, The minimum monthly payment is 100 + 17.88

The minimum monthly payment for the first month = $117.88

In 12 months, Jamie would have paid off the loan with an additional interest of $214.5

Total amount paid = (117.88 x 12) + 247.5

= $1629.06

Option 2.

The appliance store offers an installment loan;

Using;

S.I. = PRT / 100

Since the loan must be paid in 12 equal payments; we can say the loan is paid monthly which is equivalent to 1 year.

i.e., Time(T) = 1 year

S.I. = 1300 x 12.5 x 1 / 100

The down payment = $300

In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.

Thus, In 12 equal payment times,

Jamie gets to pay = $1000/12

Jamie gets to pay = $ 83.33 each time .

Total amount paid = $162.5 + 1300

Total amount paid = $1462.5

Therefore, we can conclude that Jamie should accept the second option

to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.

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Answer:

ɨ ċaռ't ɛxքʟaɨռ ɮʊt ɨt ɨs aċ=59x2

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

What is Division by Sharing?

let the number of gummy bears bag = x

9x/8 = 5

9x = 40

x = 4.4

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

What is the difference between simple and compound interests?

Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The complete question is given below.

Given,

  The principal amount deposited by both Jack and Carlie  P = $17,250

The rate of interest r = 6% = 0.06

The time period = 6.5

Jack's account earns annual simple interest and Carlie's account earns annual compound interest.

So the amount in each person's account after a time period of t = 6 years.

Jack:

Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460

Carlie:

number of times compounded in a year n = 1

Amount = \(P(1 + \frac{r}{n})^{nt}\) = 17250 ( 1+0.06)⁶ = $24,469.45

Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

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The expression for (g o f)(x) is 15x² + 10x + 2.

To find (g o f)(x), which represents the composition of functions g and f, we substitute the expression for f(x) into g(x) and simplify:

f(x) = 3x² + 2x - 1

g(x) = 5x + 7

(g o f)(x) = g(f(x))

Replacing x in g(x) with the expression for f(x):

(g o f)(x) = g(3x² + 2x - 1)

Now, substitute the expression for f(x) into g(x):

(g o f)(x) = 5(3x² + 2x - 1) + 7

Simplifying further:

(g o f)(x) = 15x² + 10x - 5 + 7

(g o f)(x) = 15x² + 10x + 2

Therefore, the expression for (g o f)(x) is 15x² + 10x + 2.

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The point of intersection of a triangle's angle bisectors is known as the incentre.

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Answer:

x+10      x ≠ 60

Step-by-step explanation:

(x^2−50x−600)

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

   (x−60)

Factor the numerator

(x-60)(x+10)

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

(x-60)

Cancel the like terms

x+10

Answer:

According to my calculations, the answer should be 718.33 OR 318.33

I'm not 100% sure, if you need, try the problem yourself or redo it to check my work. Don't be afraid to correct me, I'm always looking for ways to improve!  If my answers seem to be correct, chose what seems more reasonable.

Have an awesome day/night!

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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Answer:

identity property of multiplication (multiplying a number by one will result in that number)

Step-by-step explanation:

Answer:

\(\frac{4}{3} *\pi * r^{3}\)

r is radius of the sphere

Answer:

y-1 = -⅗(x-5)

Step-by-step explanation:

Answer:

m∠1 = 50°

m∠2 = 130°

Step-by-step explanation:

There is a formula:

\(\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)\)

\(\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)\)

\(\text{m} \angle 1 = \frac{1}{2} (100^\circ)\)

\(\text{m} \angle 1 = 50^\circ\)

Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.

\(\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ\)

\(50^\circ + \text{m} \angle 2 = 180^\circ\)

\(\text{m} \angle 2 = 180^\circ - 50^\circ\)

\(\text{m} \angle 2 = 130^\circ\)

Answer:

Team 1 = 15 workers

Team two = 8 workers

Step-by-step explanation:

Let

Number of workers in team 1 = x

Number of workers in team 2 =y

Team one had twice as many workers as team two

x = 2y (1)

number of workers in team one was reduced by 5 and the number of workers in team two was reduced by 2.

x - 5 = y - 2

How many workers are there in each team now if there are 7 more workers in team one?

x - 5 = (y - 2) + 7

x - 5 = y - 2 + 7

x = y - 2 + 7 + 5

x = y + 10

Substitute x = y + 10 into (1)

x = 2y

y + 10 = 2y

10 = 2y - y

10 = y

y = 10

Substitute y = 10 into (1)

x = 2y

= 2(10)

= 20

x = 20

The team now has

Team 1 = x - 5

= 20 - 5

= 15 workers

Team 2 = y - 2

= 10 - 2

= 8 workers

Answer is B                                                        

because i did it out i dont feel like explaning lol