What is the quotient of 2 3/4 and 7/8?

The approximate number of customers (waiting and being served) at the carwash is 3.

To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).

Using Little's Law, we can calculate the average number of customers in the system:

Average number of customers = Average arrival rate * Average time spent in the system

Average number of customers = 9 customers/hour * 0.3833 hours

Average number of customers = 3.4497 customers

Since we can't have fractional customers, we round the value to the nearest whole number.

Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.

It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.

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To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

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Answer: 26-5

Step-by-step explanation:

literally you take 5 aways from 26

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Answer:

T = 3.5m

T is trash in pounds

m is members of family

Step-by-step explanation:

For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

The orthonormal basis for the subspace of ℝ⁴ spanned by the vectors u₁ = (1, 0, 0, 0); u₂ = (1, 1, 0, 0); u₃ = (0, 1, 1, 1) is given by:

v₁ = (1, 0, 0, 0)

v₂ = (0, 1, 0, 0)

v₃ = (0, 0, 1, 1)

To find an orthonormal basis for the subspace of ℝ⁴ spanned by the given vectors, we can apply the Gram-Schmidt process. This process involves orthogonalizing the vectors and then normalizing them to obtain a set of orthonormal vectors.

Let's start by orthogonalizing u₁ and u₂. Since u₁ is already a unit vector, we take v₁ = u₁. To find v₂, we subtract the projection of u₂ onto v₁ from u₂:

u₂ - projₑv₁(u₂) = u₂ - (u₂ · v₁)v₁

                = (1, 1, 0, 0) - (1)(1, 0, 0, 0)

                = (0, 1, 0, 0)

Now, we normalize v₂ to obtain v₂:

v₂ = (0, 1, 0, 0) / ||(0, 1, 0, 0)|| = (0, 1, 0, 0)

Next, we orthogonalize u₃ with respect to v₁ and v₂:

u₃ - projₑv₁(u₃) - projₑv₂(u₃)

= (0, 1, 1, 1) - (1)(1, 0, 0, 0) - (1)(0, 1, 0, 0)

= (0, 0, 1, 1)

Normalizing v₃, we get:

v₃ = (0, 0, 1, 1) / ||(0, 0, 1, 1)|| = (0, 0, 1/√2, 1/√2)

Therefore, the orthonormal basis for the subspace of ℝ⁴ spanned by u₁, u₂, and u₃ is:

v₁ = (1, 0, 0, 0)

v₂ = (0, 1, 0, 0)

v₃ = (0, 0, 1/√2, 1/√2)

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The total cost of the plywood Mr. Richardson needs for the doghouse is $80. The correct option is D.

To calculate the total cost of the plywood, we first need to find the total surface area of the rectangular prism-shaped doghouse, subtract the surface area of the opening, and then multiply it by the cost per square foot. Let's assume the dimensions of the doghouse are length (l), width (w), and height (h), and the opening's dimensions are length (l1) and height (h1).

Calculation steps:
1. Surface area of the doghouse: 2lw + 2lh + 2wh
2. Surface area of the opening: l1h1
3. Subtract the opening's area: (2lw + 2lh + 2wh) - l1h1
4. Multiply by the cost per square foot: [ (2lw + 2lh + 2wh) - l1h1 ] * $2

Plug in the given dimensions for the doghouse and the opening to calculate the total cost, which comes out to be $80 (Option D).

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Answer: 175.00

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

f ≥ 1.6

Step-by-step explanation:

I am also learning this in school rn :)

Answer:

=======================================================

Explanation:

Refer to the diagram below.

Angle JKP is marked in red, and it's 67 degrees.

Angle PKL is marked in green, and it's right next to angle JKP. The two angles combine to form a straight line. This means the angle measures add to 180.

So,

(angleJKP) + (anglePKL) = 180

anglePKL = 180 - (angleJKP)

anglePKL = 180 - (67)

anglePKL = 113

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

Angle MKL is a right angle, aka 90 degree angle. This is indicated by the square marker in the diagram.

Subtract this from the angle PKL we just found. This will get us the measure of angle PKM

anglePKM = anglePKL - angleMKL

anglePKM = 113 - 90

anglePKM = 23

This is congruent to angle NKO because angles PKM and NKO are vertical angles. Vertical angles are always congruent.

Therefore, angleNKO = 23.

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

Another approach you could take is to see that angles JKP and LKO are vertical angles. So angleLKO = 67.

Then notice how,

angleLKO+angleNKO = 90

angleNKO = 90-angleKLO

angleNKO = 90-67

angleNKO = 23

Answer:

14.8592

Step-by-step explanation:

Answer:

f(4)=52

Step-by-step explanation:

First, you substitute the x's with 4, so it would be

f=3*4^2+2*4-4

f=48+8-4

f=52

Hope this helps

Answer:

11/31 11/12 11/5

Step-by-step explanation:

because 11/5 is a mixed number and the bigger the denominator the smaller the number

Answer:

\(2x + 6 \leqslant 8 \: \: or \: \: 2x + 8 > 12 \\ \\ 2x \leqslant 8 - 6 \: \: \: or \: \: \: 2x > 12 - 8 \\ \\ 2x \leqslant 2 \: \: \: or \: \: \: 2x > 4 \\ \\ x \leqslant 1 \: \: \: or \: \: \: x > 2\)

Answer : B

Answer:

The domain of y = f(x) is [0,8]

Step-by-step explanation:

Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.

So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.

So, the domain of the function y = f(x) is [0,8]

Answer:

y = f(x) is [0,8]

Step-by-step explanation:

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

27/3 or 9

Do the work for each side

Answer: y= 3/2x+

Step-by-step explanation:

Two functions are given, is the approximate interval will be x < 5.3. The correct option is B.

To decide the interval for which f(x) > g(x), we need to find the values of x that satisfy the inequality f(x) > g(x).

First, allows set up the inequality:

f(x) > g(x)

3(x-2) > 2x² - 4x + 3

Expanding and simplifying the inequality, we get:

3x - 6 > 2x² - 4x + 3

2x² - 7x + 9 > 0

Now, we can solve this quadratic inequality to find the c program languageperiod for x:

The answers to the quadratic equation 2x² - 7x + nine = 0 are approximately x = 1.46 and x = 3.54.

Since the coefficient of x² is positive (2 > 0), the parabola opens upwards. Therefore, the interval for which f(x) > g(x) is given by:

x < 1.46 or x > 3.54

Thus, B- x < 5.3 is the correct option.

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Answer:

2x=50   x=25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

6x - 20 = 4x + 30 (Since, lines are parallel and They are Corresponding angles)

=> 6x - 4x = 30 + 20

=> 2x = 50

=> x = 25

The number of 2-pointers and 3-pointers are 11 and 4, respectively

Given that the pointers are 2 and 3 where

Let x = 2 pointers

Let y = 3 pointers

Using the above as a guide, we have the following:

2x + 3y = 34

x + y = 15

Multiply the second equation by 2

So, we have

2x + 3y = 34

2x + 2y = 30

Subtract the equations

y = 4

Recall that

x + y = 15

So, we have

x + 4 = 15

Evaluate

x = 11

Hence, the number of 2-pointers is 11

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The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

Answer:

I believe the answer is option B because I am right. Haha trust me.

Step-by-step explanation:

Answer:

10x² - 12

Step-by-step explanation:

4x² - 7 + 6x² - 5 ← collect like terms

= (4 + 6)x² + (- 7 - 5)

= 10x² + (- 12)

= 10x² - 12

Answer:

8:10, 12:15

Step-by-step explanation:

The missing sides and angles are listed below:

Triangle A: x = 27.061

Triangle B: θ = 70.562°

Triangle C: θ = 51.756

In this problem we find three triangles, a right triangle (Triangle a)) and two non-right triangles (Triangles b) and c)), whose missing angles and sides.

Triangle A

The missing side is determined by following trigonometric function:

x = 43 · sin 39°

x = 27.061

Triangle B

The missing angle is determined by sine law:

2.2 / sin 42° = 3.1 / sin θ

sin θ = 0.943

θ = 70.562°

Triangle C

The missing side is determine by cosine law:

4.1² = 5.2² + 3.6² - 2 · 5.2 · 3.6 · cos θ

16.81 = 40 - 37.44 · cos θ

37.44 · cos θ = 23.19

cos θ = 0.619

θ = 51.756

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