A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese.

How many ounces total of meat and cheese are used on each sandwich?
ounces
How many sandwiches were made in the hour?
sandwiches
How many ounces of meat were used?
ounces
How many ounces of cheese were used?
ounces

1. Vertex A: 3 in-degrees

2. Vertex B: 2 in-degrees

3. Vertex C: 1 in-degree

4. Vertex D: 2 in-degrees

5. Vertex E: 1 in-degree

To determine the number of in-degrees for each vertex, we need to examine the directed edges leading into each vertex.

1. Vertex A: There are three directed edges pointing towards Vertex A, namely edges from Vertex B, Vertex C, and Vertex D. Hence, Vertex A has 3 in-degrees.

2. Vertex B: There are two directed edges pointing towards Vertex B, which are from Vertex C and Vertex D. Therefore, Vertex B has 2 in-degrees.

3. Vertex C: There is only one directed edge pointing towards Vertex C, which is from Vertex A. Hence, Vertex C has 1 in-degree.

4. Vertex D: Similar to Vertex B, Vertex D also has two directed edges pointing towards it, originating from Vertex A and Vertex E. Thus, Vertex D has 2 in-degrees.

5. Vertex E: There is only one directed edge pointing towards Vertex E, which is from Vertex B. Therefore, Vertex E has 1 in-degree.

- Vertex A has 3 in-degrees.

- Vertex B has 2 in-degrees.

- Vertex C has 1 in-degree.

- Vertex D has 2 in-degrees.

- Vertex E has 1 in-degree.

By correctly matching the vertices with their respective number of in-degrees, we have provided an accurate analysis of the directed edges leading into each vertex in the right column.

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Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

Answer:

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

Factorize the polynomial in below steps:

Make each factor equal to zero:

Hence the zeros are -3, -2 and 3.

Answer:

12x/100=7

12x=700

x=700/12

x=58.33

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

Answer:

6.67 seconds

Step-by-step explanation:

Benny = 15 - 0.5s

Juan = 10 + 0.25

Where,

s = number of seconds

Equate

15 - 0.5s = 10 + 0.25s

15 - 10 = 0.25s + 0.5s

5 = 0.75s

s = 5/0.75

= 6.66667 seconds

Approximately 6.67s

There are no outcomes that satisfy both A and B simultaneously, resulting in zero probability. Therefore, P(A ∩ B) = 0.

When two events, A and B, are mutually exclusive, it means that they have no outcomes in common. If event A occurs, it excludes the possibility of event B occurring, and vice versa.

Given that P(A) = 0.20 and P(B) = 0.50, these probabilities represent the likelihood of events A and B happening individually.

The probability of the intersection of A and B, denoted as P(A ∩ B), represents the probability of both events A and B occurring simultaneously. However, since A and B are mutually exclusive, they cannot occur at the same time, and the intersection between them is empty. In other words, there are no outcomes that satisfy both A and B simultaneously, resulting in zero probability. Therefore, P(A ∩ B) = 0.

This aligns with the concept of mutually exclusive events, where the occurrence of one event precludes the occurrence of the other.

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The sample space for this experiment is {0, 1, 2}, representing the possible number of resulting heads.

The sample space for this experiment, where a nickel and a dime are flipped simultaneously, consists of all possible outcomes for the number of resulting heads. The terms are:

1. Nickel
2. Dime
3. Heads

The sample space includes the following outcomes:

1. Both coins show heads (HH): 2 heads
2. Nickel shows heads, dime shows tails (HT): 1 head
3. Nickel shows tails, dime shows heads (TH): 1 head
4. Both coins show tails (TT): 0 heads

So, the sample space for this experiment is {0, 1, 2}, representing the possible number of resulting heads.

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The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

µ = p

The standard deviation of this sampling distribution of sample proportion is:

σ = √p(1-p)/n

The information provided is:

p = 0.14

n = 41

As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.

Compute the values of P(p^ - p >0.04) as follows:

P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411

= P(Z>2.33)

= 0.990

Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990

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Answer:

Step-by-step explanation:

{4 1/5 =4.2 and 4 3/5 = 4.6}

Mike's hiking Distance = Pedro's hiking Distance

3.5 Hours *4.2 Miles/ hour = Pedro's Hiking Time *4.6 miles/ hours

Answer:

137 races

Step-by-step explanation:

822/6=137

so if there was 822 people and the limit for the races were 6 people, there would have to be 137 races for all the people.

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer: −x2+

5

x

=

7

Move

7

to the left side of the equation by subtracting it from both sides.

−

x

2

+

5

x

−

7

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

−

1

,

b

=

5

,

c

=

−

7

Step-by-step explanation:

Using a calculator, the solutions for the equation 4sin²(x) - 7sin(x) = -3 that lie in the interval [0, 2π) are approximately x ≈ 0.6719 and x ≈ 5.8129.

To find the solutions, we can rearrange the equation and convert it into a quadratic equation. Let's denote sin(x) as y. The equation becomes 4y² - 7y + 3 = 0.

We can now solve this quadratic equation for y using a calculator or a quadratic formula. By substituting y = sin(x) back into the equation, we obtain sin(x) = 0.6719 and sin(x) = 5.8129. To find the values of x, we use the inverse sine function on a calculator.

However, since we are looking for solutions in the interval [0, 2π), we only consider the values of x within that range. Therefore, the solutions are approximately x ≈ 0.6719 and x ≈ 5.8129, rounded to four decimal places.

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Answer:

Solution given:

perimeter of rectangle: 2(l+b)=2(3x-3+x-3)

perimeter of triangle: sum of all side

= 2x-1+2x-1+2x=6x-2

Since both perimeter are equal

8x-12=6x-2

8x-6x=12-2

2x=10

x=10/2

x=5

The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).

Given that,

The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.

We know that,

Take the equation of the curves about the x- axis

y =6 -x², y =2.

Substitute y = 2 in equation y = 6 - x²

2 = 6 - x²

-x² = 2-6

x² = 4

Taking square root on both sides

x = ±2

Now, volume formula is define by using washer method

V =  \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)

V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)

V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)

V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)

V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)

V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)

V = \(\pi( [\frac{384}{5}] )\)

V = \(\frac{384\pi }{5}\)

Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)

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Answer: C

Step-by-step explanation:

Given

Nancy bought the bag with 1100 beads to make necklaces

She found another bag with 700 beads

So, the total number of beads is the sum of two i.e. 1800 beads

It takes 50 beads per necklace

The number of necklaces that can be formed is

\(\Rightarrow \dfrac{1800}{50}\\\\\Rightarrow 36\ \text{Necklaces}\)

Therefore, the requirements of Rolle's Theorem are not fulfilled, and the absence of a number c with f'(c) = 0 does not contradict the theorem.

To show that f(0) = f(π), we substitute the values into the function:

f(0) = tan(0) = 0

f(π) = tan(π) = 0

Hence, we have f(0) = f(π), indicating that the function values at x = 0 and x = π are equal.

To investigate the derivative, we differentiate f(x) = tan(x) with respect to x:

f'(x) = sec^2(x)

Next, we need to determine if there exists a number c in the interval (0, π) such that f'(c) = 0. Let's evaluate f'(x) at the endpoints of the interval:

f'(0) = sec^2(0) = 1

f'(π) = sec^2(π) = 1

Since f'(x) is always positive (1) for any x in the interval (0, π), there is no number c in that interval for which f'(c) = 0.

This observation does not contradict Rolle's Theorem because Rolle's Theorem requires three conditions to be satisfied:

The function must be continuous on the closed interval [a, b].

The function must be differentiable on the open interval (a, b).

The function values at the endpoints must be equal, i.e., f(a) = f(b).

In this case, f(x) = tan(x) fails to satisfy the second condition because the derivative, f'(x) = sec^2(x), is never zero in the interval (0, π).

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The journal entry to record income taxes in 2022 is Debited - Income Tax Expense and Deferred Tax Liability, Credited - Income Taxes Payable.

To prepare the appropriate journal entry to record income taxes in 2022, we need to consider the taxable income, the deferred portion of the rent collected, and the applicable tax rate.

Taxable income: $700 million

Deferred portion of rent collected: $72 million

Tax rate: 25%

The journal entry to record income taxes in 2022 would typically involve the following accounts

Income Tax Expense: This account represents the amount of taxes owed based on taxable income.

Deferred Tax Liability: This account represents the taxes that will be paid in the future due to temporary differences between accounting and tax purposes.

Here's the journal entry

Income Tax Expense $175 million

Deferred Tax Liability $72 million

Income Taxes Payable $247 million

The Income Tax Expense is debited for the current tax liability, which is calculated as the taxable income multiplied by the tax rate: $700 million × 25% = $175 million.

The Deferred Tax Liability is debited for the increase in the deferred portion of the rent collected: $72 million.

The Income Taxes Payable is credited for the total tax liability, which includes both the current tax expense and the increase in deferred taxes: $175 million + $72 million = $247 million.

Please note that the above journal entry assumes that there are no other adjustments or considerations needed for income taxes in 2022. It is always advisable to consult with a professional accountant or tax expert for specific accounting and tax requirements.

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the Option  B of the subsequent query is correct this is 1345


given that regular disbursed with rating became 1509, and the standard deviation of the ratings is 312.
score=1509
standard deviation=312


P(Z.3
From z score table we get P(Z<-0.52) =0.three
Then Zo= -0.52
X-rating/general deviation= -zero. 52


X= -0. 52× 312 + 150
= 1346.76
= 1345 approx


A standard deviation (or σ) is a measure of how dispersed the data is when it comes to the mean. Low standard deviation means data are clustered across the imply, and high standard deviation indicates facts are extra unfold out.


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Answer:

15.42$

Step-by-step explanation:

The number of different ways the festival director can hire seven of the ten interns can be calculated using combinations.  To find the number of combinations, we can use the formula for combinations: nCr = n! / (r!(n-r)!)

Where n represents the total number of interns (10 in this case) and r represents the number of interns the festival director wants to hire (7 in this case). Let's calculate the number of combinations: 10C7 = 10! / (7!(10-7)!) First, we calculate the factorial of 10: 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 Next, we calculate the factorial of 7: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 Finally, we calculate the factorial of (10-7): (10-7)! = 3 x 2 x 1

Now, let's substitute these values into the formula:
10C7 = 10! / (7!(10-7)!)
= (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (7 x 6 x 5 x 4 x 3 x 2 x 1 x 3 x 2 x 1)
= (10 x 9 x 8) / (3 x 2 x 1)
= 720 / 6
= 120
Therefore, there are 120 different ways the festival director can hire seven of the ten interns.

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The value of x = 25 % (option b) in 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. by converting the percentages.

79% of 8400 = ( 79/100) x 8400

                     = 6636

66.66% of 4800 = (66.66/100)x4800

                      = 3199.68

120% of 7200 = (120/100)x7200

                       = 8640

x% of 4784  = (x/100) x 4784

we are given that, 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. what is the value of x :

therefore, 6636 + 3199.68 = 8646 + (x/100) x 4784

                 (x/100) x 4784 = 6636 + 3199.68 - 8646

                                         = 1189.68

                                (x/100) = 1189.68/4784

                                            = 0.248

                                    x = 0.248 x 100

therefore , the value of x is equals to 24.8 % or 0.248 which is approximated to 25 % that is option (b)

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Solution:

Given:

From the table,

Therefore, the answer is 20.

A small page can fit 4 photographs, and a large one can fit 2 photographs.

From the question, we have the following information available is:

Harper plans to assemble 4 small pages and 1 large page and brought a total of 12 photographs to use.

Savannah brought 28 photographs, which is enough to assemble 4 small pages and 5 large pages.

Let the number of photographs on small pages be x and number of large pages be y

=> 4x + y = 12 __(eq.1)

=> 4x + 5y = 28__(eq.2)

Subtracting equation 2 from equation 1 we get:

4x + y - (4x + 5y) = 12 - 28

4x + y - 4x - 5y = -16

-4y = -16

y = 4

Put the value of y in eq.1

4x + y = 12

4x + 4 = 12

4x = 8

x = 2

Therefore, a small page can fit 4 photographs, and a large one can fit 2 photographs.

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Answer:

Then the alternate interior angles are congruent.

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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Answer:

3520

Step-by-step explanation:

hope it helps

Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?