cupcake delight shop made 4 1/2 as much revenue on doughnuts as muffins. if total sales were 44,000 what dollar amount of each was sold?

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

80%

Step-by-step explanation:

Based on the given conditions: (18 - 10)÷10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Answer:

80%

Step-by-step explanation:

Based on the given conditions, formulate: (18-10) ÷ 10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Hope this helps

Answer:

7.5 miles

Step-by-step explanation:

1 mile = 1760 yards

13,200 divided by 1760 is 7.5

So, 13,200 yd = 7.5 miles

It is false to claim that the concentration of hydronium ions (H₃O⁺) is greater than 1*10⁻⁷ for basic solutions. In fact, for basic solutions, the concentration of hydroxide ions (OH⁻) is greater than the concentration of hydronium ions.

The concentration of hydronium ions ([H3O+]) is a measure of the acidity of a solution. A concentration greater than 1*10⁻⁷ M indicates an acidic solution, not a basic solution. For basic solutions, the concentration of hydroxide ions ([OH-]) is greater than the concentration of hydronium ions ([H3O+]). In basic solutions, the concentration of hydronium ions is less than 1*10⁻⁷ M.

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a)  The inverse function is obtained by rearranging the variables for temperature and height in the  given equation.

b)   T⁻¹(x) =41-x/1.25

c)  T⁻¹(30) =8.8

The given function is T(h)=41- 1.25h, so the inverse of a function is just obtained by rearranging the variables for height and temperature,  the variable of temperature is replaced by height and vice versa. for the second

T(h)=41- 1.25h,  considering h= x

=>T(x)=41- 1.25x

setting T(x)=x and x= T(x), we get  

41- 1.25T(x) =x

=>1.25T(x) =x -41

=>T(x) =x- 41/ 1.25

now setting T(x)= T⁻¹ (x) we get  : T⁻¹ (x) =41-x/1.25

For  T⁻¹(30) =41-30/1.25= 11/1.25 =8.8

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two segment drawn from one point outside the circle are equal

\(\\ \rm\hookrightarrow 6/x=5/x+3\)

\(\\ \rm\hookrightarrow 6(x+3)=5x\)

\(\\ \rm\hookrightarrow 6x+6=5x\)

\(\\ \rm\hookrightarrow x=-6\)

#2

\(\\ \rm\hookrightarrow \dfrac{4}{2x}=\dfrac{5}{x}\)

\(\\ \rm\hookrightarrow 4x=10x\)

No solution.

To organize the information about summer jobs available for college students in my area, I could use a spreadsheet as my data set.

(a) The cases would be each job opportunity available for college students in the area.

(b) The variables would include:
- Job Title
- Company Name
- Job Description
- Pay Rate
- Location
- Required Skills/Qualifications

The possible values for each variable would depend on the specific jobs available.

(c) The variables "Job Title," "Company Name," "Location," and "Required Skills/Qualifications" would be categorical variables, as they involve categories or labels. The variables "Job Description" and "Pay Rate" would be quantitative variables, as they involve numerical values.

(d) I would label this data set as "Summer Jobs for College Students in [Name of Area]." I chose this label to clearly indicate the focus of the data set.

(e) The key characteristics of this data set would include the job title, company name, job description, pay rate, location, and required skills/qualifications for each summer job available for college students in the area. By organizing this information, students can compare and contrast job opportunities to find the best fit for their skills and needs.

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Answer:

5 blocks south and 1 block west ( I think that's right sorry if its wrong I'm heading off to bed)

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

49

Step-by-step explanation:

10 to 23 is 13, and 23 to 36 is 13. so you just add 13 to 36 to get 49

Equation: \( 4x\degree + 2x\degree = 180°\)

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

\( \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

\)

Answer:

900 + 12 x 30

Step-by-step explanation:

Answer: $8.50

hope this helps :)

im not the nest at math but im pretty sure that is what is is.

Step-by-step explanation:

Respuesta:

52 000

Explicación paso a paso:

Dado :

Costo de la casa hace 5 años = costo original de la casa = 40,000

Aumento porcentual en el precio original hoy = 30%

El monto mínimo a cobrar por la casa:

Precio original * aumento porcentual del precio original

40.000 + (30% de 40.000)

40000 + (0,3 * 40000)

40000 + 12000

= 52 000

Monto a cobrar por la casa = 52,000

Answer:

Step-by-step explanation:

0

Answer:

16 for each video game

Step-by-step explanation:

The unit rate is 16x

the ratio is 16:1

The slope is y=16x

Answer:

The ratio:  $65:4

The unit rate: 16.25:1

Step-by-step explanation:

The ratio is money to video games.

The unit rate is how much money each video games cost.

Alex had 5 buckets of water left after spilling 3 2/3 buckets.

To determine how many buckets of water Alex had left after spilling 3 2/3 buckets, we can subtract the amount spilled from the original amount.

First, we need to convert the mixed numbers to improper fractions:

8 2/3 = (8 x 3 + 2) / 3

= 26/3

3 2/3 = (3 x 3 + 2) / 3

= 11/3

Alex initially had 8 2/3 buckets of water. To subtract 3 2/3 buckets, we can perform the following calculation:

26/3 - 11/3 = 15/3

= 5

Therefore, Alex had 5 buckets of water left after spilling 3 2/3 buckets.

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Answer:

slope=-2

Step-by-step explanation:

If two lines are parallel, they have the same slope with different y-intercept

Answer:

x= -1 or x= 5/3

Step-by-step explanation:

3x²–2x=5​

3x²-2x-5=0

(3x+_)(x-_)

(3x-5)(x+1)

(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5​)

3x-5=0

3x=5

x= 5/3

x+1

x=-1

x= -1 or x= 5/3

Hope this helps!

The probability distribution in the next period for the frog Markov chain, given the current distribution where p3 = 1 and all other pi = 0, will have all probabilities concentrated in the state corresponding to p3.

In a Markov chain, the probability distribution in the next period is determined by the transition probabilities between states. Each state in the Markov chain has an associated probability, indicating the likelihood of transitioning to that state in the next period.

In this case, the current distribution is given as p3 = 1, meaning that the frog is currently in state 3 with a probability of 1. All other probabilities (p1, p2, p4, p5, etc.) are 0, indicating that the frog is not in any other state.

Since the frog is already in state 3 with a probability of 1, there is no transition needed in the next period. Therefore, the probability distribution in the next period will also have p3 = 1, and all other probabilities will be 0.

In summary, the probability distribution in the next period, given the current distribution where p3 = 1 and all other pi = 0, will have all probabilities concentrated in the state corresponding to p3. This means that the frog will remain in state 3 with a probability of 1 in the next period, and there will be no transition to any other state.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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The future value of $58,000, 25 years from now with an annual growth rate of 9.5%, is approximately $460,389.

To calculate the future value (FV) with a growth rate, we can use the formula for future value of a present investment:

\(FV = PV * (1 + r)^t\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the annual growth rate (in decimal form)

t is the time period (number of years)

In this case, the present value (PV) is $58,000, the annual growth rate (r) is 9.5% (or 0.095 in decimal form), and the time period (t) is 25 years.

Plugging in the values, we have:

\(FV = 58,000 * (1 + 0.095)^{25 }\)

≈ 460,389

Therefore, the future value of $58,000, 25 years from now with an annual growth rate of 9.5%, is approximately $460,389. This means that the value of the initial investment will grow to approximately $460,389 after 25 years, taking into account the annual growth rate.

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Answer:

125

Step-by-step explanation:

In ΔPTO we are given that

∠PTO = 90° (indicated by the right angle)

and ∠TPO = 35°

And we need to find the exterior angle (∠TOB)

If you didn't know this is the rule about exterior angles

Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle

So more specifically for this problem

∠TOB = ∠PTO + ∠TPO

Now that we have created an equation we want to plug in the values that we are given

∠TOB = 90 + 35

90 + 35 = 125

Therefore the answer is 125

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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For 3 hours of snorkeling, Coral Snorkeling costs less.

Santiago will pay 5 dollars less.

Based on the information provided above, we can logically deduce that a linear equation that models the total cost charged by Coral Snorkeling is given by:

y = 30x + 25

At data point (0, 2), a linear equation that models the total cost charged by Sea Water Adventures can be calculated in point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 30 = (60 - 30)/(1 - 0)(x - 0)

y - 30 = 30x

y = 30x + 30

When x = 3 hours, the total cost charged by both companies can be determined as follows;

y = 30(3) + 25

y = $115.

y = 30(3) + 30

y = $120.

Difference = 120 - 115

Difference = $5.

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The algorithm for recursive relation function algorithm based on details is given below to return an output.

The recursive function algorithm to find the terms of the given recurrence relation `t(1)=-2` and `t(k)=3xt(k-1)+2` is provided below:

Algorithm:    // Recursive function algorithm to find the terms of given recurrence relation
   Function t(n: integer) : integer;
   Begin
       If n=1 Then
           t(n) ← -2
       Else
           t(n) ← 3*t(n-1)+2;
       End If
   End Function

The algorithm makes use of a function named `t(n)` to calculate the terms of the recurrence relation. The function takes an integer n as input and returns an integer as output. It makes use of a conditional statement to check if n is equal to 1 or not.If n is equal to 1, then the function simply returns the value -2 as output.

Else, the function calls itself recursively with (n-1) as input and calculates the term using the given recurrence relation `t(k)=3xt(k-1)+2` by multiplying the previous term by 3 and adding 2 to it.

The calculated term is then returned as output.

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The experimental result with a p-value of 0.03 suggests that there is some evidence to support the existence of extrasensory perception.

The p-value of 0.03 indicates that the likelihood of obtaining the observed result, assuming no true effect (i.e., no extrasensory perception), is 3%. This result is below the conventional threshold of 0.05, which means it can be considered statistically significant. The experimenter's repeated attempts to obtain a significant result demonstrate persistence in exploring the phenomenon.

However, it's important to note that a p-value of 0.03 does not prove the existence of extrasensory perception conclusively. The significance level chosen (0.05) represents the threshold at which researchers are willing to accept the possibility of observing a result due to chance alone. A p-value of 0.03 indicates that the observed result is unlikely to be due to chance alone, but it does not provide absolute proof.

To establish the existence of extrasensory perception, further replication of the experiment is necessary. Independent researchers should attempt to replicate the findings to determine if they can obtain similar results. Additionally, conducting more rigorous experiments with appropriate control groups and larger sample sizes can help strengthen the evidence. Scientific consensus is generally reached when multiple independent studies consistently yield significant results supporting a particular phenomenon.

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Rachel and Fran would take 10/7 hours to complete the job together.

Given that Rachel can do a job in 2 hours and her friend Fran in 5 hours we need to find the time taken by them to complete work together,

To determine how long it would take Rachel and her friend Fran to complete the job together, we can use the concept of work rates.

Let's assume that Rachel's work rate is represented by R (in units of "job per hour"), and Fran's work rate is represented by F.

We are given that Rachel can complete the job in 2 hours, so her work rate is 1/2 (1 job per 2 hours), which can be expressed as R = 1/2.

Similarly, Fran can complete the job in 5 hours, so her work rate is 1/5 (1 job per 5 hours), which can be expressed as F = 1/5.

When two people work together, their work rates are additive.

Therefore, the combined work rate of Rachel and Fran is R + F.

To find the time it takes for them to complete the job together, we can invert their combined work rate.

Let's call this time T (in hours).

We can set up the equation:

R + F = 1/T

Substituting the known values:

1/2 + 1/5 = 1/T

Multiplying both sides of the equation by 10T to eliminate the denominators:

5T + 2T = 10

7T = 10

T = 10/7

Therefore, Rachel and Fran would take 10/7 hours to complete the job together.

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Answer:

They have the same rate.

Step-by-step explanation:

If we use rise over run formula

(3.8 - 2.6) / (3 - 1) = .6

3/5 = .6

They both have a slope of 0.6