For Anthony’s birthday, his mother is making cupcakes for his 12 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony’s mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake

Answer:

My best guess is 172.05

Step-by-step explanation:

Answer: The answer is from sanakhatri5.

Step-by-step explanation: Area of star is 81.25cm

Answer:

43 is the answer

Step-by-step explanation:

i just added till i got it

Step-by-step explanation:

-8x + 9 = 73

-8x = 73 -9

-8x = 64

x= - 64/8

x= -8

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

the expected value of the sum of two fair 6-sided dice is 7.

The possible values of the sum of two fair 6-sided dice range from 2 (when both dice show a 1) to 12 (when both dice show a 6). The probability of each possible sum can be calculated using a probability distribution table or by listing all the possible outcomes and counting them.

Here is the probability distribution table:

Sum Number of Outcomes Probability

2 1 1/36

3 2 2/36

4 3 3/36

5 4 4/36

6 5 5/36

7 6 6/36

8 5 5/36

9 4 4/36

10 3 3/36

11 2 2/36

12 1 1/36

The expected value of the sum, denoted E(X), is the sum of each possible value of X multiplied by its probability, or:

E(X) = 2*(1/36) + 3*(2/36) + 4*(3/36) + 5*(4/36) + 6*(5/36) + 7*(6/36) + 8*(5/36) + 9*(4/36) + 10*(3/36) + 11*(2/36) + 12*(1/36)

E(X) = 7

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur.

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Answer:

12 miles per hour...........

Answer:25 and 55

Step-by-step explanation:

if you double 25 you get 50 add five and you get 55.

55+25=80

Answer:

A. the graph of a quadratic function y = (1/4)(x+3)(x-4)

Step-by-step explanation:

(1/4)(x+3)(x-4) = 0

x+3 = 0    or  x-4 = 0

x = -3  or   x = 4

For the others:

B.  -(1/4)(x-3)(x+4) = 0

x-3 = 0    or  x+4 = 0

x = 3  or   x = -4

C.  -(x+3)(x+4) = 0

x+3 = 0    or  x+4 = 0

Step-by-step explanation:

The graph of function y = 1/4 (x+3)(x-4) gives the zeros at -3 and 4, therefore option (a) is correct.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

The function f has 0 at -3 and 4.

The function f has 0 at -3 and 4 implies that the value of function is 0, when  value of x are -3 and 4.

Solve with the help of options,

(a)

y = 1/4 (x + 3)(x - 4)

Substitute x = -3,

y = 1/4 (-3 + 3) (3 + 4)

y = 1/4 x 0 x 7

y = 0

Substitute x = 4,

y = 1/4 (4 + 3)(4 - 4)

y = 1/4 x 7 x 0

y = 0

The value of y is 0 at x = -3 and 4,

Therefore, option (A) is correct option.

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Here are the values of f(1), f(2), f(3), f(4), and f(5) for each recursive definition:

a) \(\[f(1) = -6, \quad f(2) = 12, \quad f(3) = -24, \quad f(4) = 48, \quad f(5) = -96\]\)

b) \(\[f(1) = 16, \quad f(2) = 55, \quad f(3) = 172, \quad f(4) = 523, \quad f(5) = 1576\]\)

c) \(\[f(1) = 1, \quad f(2) = -3, \quad f(3) = 11, \quad f(4) = 107, \quad f(5) = 11365\]\)

d) \(\[f(1) = 3, \quad f(2) = 3, \quad f(3) = 3, \quad f(4) = 3, \quad f(5) = 3\]\)

a) Recursive definition: \(\(f(n + 1) = -2f(n)\)\)

To find \(\(f(1)\)\), we use the initial condition \(\(f(0) = 3\)\) and apply the recursive definition:

\(\[f(1) = -2f(0) = -2 \cdot 3 = -6\]\)

To find \(\(f(2)\)\):

\(\[f(2) = -2f(1) = -2 \cdot (-6) = 12\]\)

Similarly, we can continue applying the recursive definition to find \(\(f(3)\), \(f(4)\), and \(f(5)\)\):

\(\[f(3) = -2f(2) = -2 \cdot 12 = -24\]\)

\(\[f(4) = -2f(3) = -2 \cdot (-24) = 48\]\)

\(\[f(5) = -2f(4) = -2 \cdot 48 = -96\]\)

b) Recursive definition: \(\(f(n + 1) = 3f(n) + 7\)\)

Using the initial condition \(\(f(0) = 3\):\)

\(\[f(1) = 3f(0) + 7 = 3 \cdot 3 + 7 = 16\]\)

To find \(\(f(2)\)\):

\(\[f(2) = 3f(1) + 7 = 3 \cdot 16 + 7 = 55\]\)

Continuing in the same manner:

\(\[f(3) = 3f(2) + 7 = 3 \cdot 55 + 7 = 172\]\)

\(\[f(4) = 3f(3) + 7 = 3 \cdot 172 + 7 = 523\]\)

\(\[f(5) = 3f(4) + 7 = 3 \cdot 523 + 7 = 1576\]\)

c) Recursive definition: \(\(f(n + 1) = f(n)^2 - 2f(n) - 2\)\)

Using the initial condition \(\(f(0) = 3\)\)

\(\[f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2 \cdot 3 - 2 = 1\]\)

To find \(\(f(2)\):\)

\(\[f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2 \cdot 1 - 2 = -3\]\)

Continuing in the same manner:

\(\[f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2 \cdot (-3) - 2 = 11\]\)

\(\[f(4) = f(3)^2 - 2f(3) - 2 = 11^2 - 2 \cdot 11 - 2 = 107\]\)

\(\[f(5) = f(4)^2 - 2f(4) - 2 = 107^2 - 2 \cdot 107 - 2 = 11365\]\)

d) Recursive definition: \(\(f(n + 1) = \frac{{3f(n)}}{3}\)\)

Using the initial condition \(\(f(0) = 3\):\)

\(\[f(1) = \frac{{3f(0)}}{3} = \frac{{3 \cdot 3}}{3} = 3\]\)

Since the recursive definition is \(\(f(n + 1) = \frac{{3f(n)}}{3}\)\), the value of \(\(f(n)\)\) remains constant as 3 for all values of \(\(n\)\). Hence,  \(\(f(2)\), \(f(3)\), \(f(4)\),\)  \(\(f(5)\),\) the value will be 3.

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Relational databases are heavily based on the mathematical concept of: Set Theory. The correct option is (A).

Relational databases are based on the principles of set theory, which deals with sets of elements and their relationships with each other. In a relational database, data is organized into tables, with each table representing a set of related data.

The tables are then related to each other through the use of keys, which allow for the establishment of relationships between different sets of data. The principles of set theory also govern the use of operations such as union, intersection, and difference, which can be used to manipulate the data in the tables.

Therefore, the mathematical concept of set theory is a fundamental part of the design and use of relational databases.

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Answer:

A & B????

Step-by-step explanation:

Answer:

A and B!

Step-by-step explanation:

I took the usa test prep :)

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

To calculate the remaining balance on Welham's loan today, we need to determine the outstanding principal after 96 payment periods.

First, we calculate the monthly interest rate by dividing the annual interest rate by 12:

r = 4.25% / 12 = 0.04208333

Next, we calculate the number of remaining payment periods:

n = 20 years * 12 months/year - 96 payment periods = 144 - 96 = 48 payment periods

Using the formula for the monthly payment on a fixed-rate mortgage, we can calculate the monthly payment amount:

P = $326,500

r = 0.04208333

n = 20 years * 12 months/year = 240 payment periods

monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

After calculating the monthly payment amount, we can use the remaining balance formula for a fixed-rate mortgage:

remaining balance = monthly payment * ((1 + r)^n - (1 + r)^p) / r

where p is the number of payments made (96 payment periods in this case).

Substituting the values into the formula, we can calculate the remaining balance on the loan today.

Please note that the exact calculations require precise values for the interest rate and the number of remaining payment periods. Make sure to use the actual values provided in the problem statement to obtain an accurate result.

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The equation that represents the distance traveled is d = 50t

To find the time it takes the car to travel a certain distance, we can use the formula:

time = distance / speed

where speed is the constant speed of the car, which is 50 miles per hour.

Using this formula, we can fill in the table:

Time (hours) Distance (miles)

2 100

1.5 75

2.5 125

20 1000

To write an equation that represents the distance traveled by the car, d, for an amount of time, t, we can rearrange the formula to:

distance = speed x time

Substituting the value of the speed, we get:

distance = 50t

In this equation, the dependent variable is the distance traveled, which depends on the value of the independent variable, which is the time elapsed.

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Note that based on the quartiles the estimated number  of rides less that 6.5 minutes long is about about 5 rides.

To  estimate the number of rides that would  be less than 6.5 minutes long, we can make use of the  interquartile range (IQR).

Assumption -  Data is Symmetrically distributed.

Recall  that IQR is the variance between the first quartile (Q1) and the third quartile  (Q3).

So IQR =   Q3 - Q1

= 10 minutes - 6.5 minutes

= 3.5 minutes

Based on the assumption above  we can consider Q2 as the 50th percentile.

Thus, to estimate the number of rides that would be less than 6.5 minutes long, use the Z-score formula:

Z = (X - μ) / σ

Where:

Z is the Z-score,

X is the value we want to estimate (6.5 minutes),

μ is the mean of the data (which we assume to be Q2),

σ is the standard deviation of the data (which we assume to be IQR / 1.35).

NOte: The factor 1.35 is an approximation for converting the IQR to the standard deviation of a  normal distribution

Z = (6.5 -8) / (3.5 /1.35)

= - 0.5 / 2.59    

 =  -0.57857142857

≈ - 0.58

Based on  statistical calculator,  the proportion of data that falls below a Z-score o - 0.58, which represents the expected number of rides that would be less than 6.5 minutes long, is

= 0.2787.

Thus, te estimated number of rides less than 6.5 minutes long ≈ 0.2787 * 16

= 4.4592

≈ 4.5 rides

Thus we can expect the 4 or 5 rides to be less than 6.5 minutes long.

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The symbols x, y, and z are examples of variables in an instruction like z = x + y.

A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.

A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.

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Given:

An integral

Required:

Solve the integral.

Explanation:

We will start with

Now,

Put

Answer:

Hence, above is the answer.

Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

Ok, we need find the price of each dvd unit, then for this we are going to take the total price of the dvd's and divide it by the quantity that was compared.

So we have this:

Total dvd price: 76.57

Number of dvd: 13

Dividing we get:

76.57/13=5.89

The long division is:

76/13 equals 5 and we have a remainder of 11 that goes down, we went down on the 5th of ten, 115 divided by 13 equals 8 and there are 11 remainders left, we lower the 7 of the hundredths, and 117 divided 13 equals 9.

So finally we get that the unitary price of dvd is $5.89.

To graph a line on the plane, one needs two points on it and then crosses them using a straight line.

Finding two points on each line,

And,

Graphing both lines on the plane,

The solution is the intersection point of both lines; thus, the answer is (-2,-2)

The solution of the given problem of triangle comes out to be tan ∠A = 0.25.

Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners.

Here,

Since △ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.

Using the fact that tan ∠B = opposite/adjacent, we can set up a ratio using a common factor, x, for the opposite and adjacent sides of ∠B:

tan ∠B = 0.25 = opposite/adjacent = x/4x

Simplifying the right side, we get:

0.25 = x/4x = 1/4

Multiplying both sides by 4x, we get:

x = 4

So the opposite side of ∠B has length x = 4, and the adjacent side has length 4x = 16.

Using the Pythagorean theorem, we can find the length of the hypotenuse of △ABC:

c² = a² + b²

c² = 4²+ 16²

c² = 256

c = √256

c = 16

Now, we can use the fact that tan ∠A = opposite/adjacent to find tan ∠A:

tan ∠A = opposite/hypotenuse = 4/16 = 1/4

Therefore, tan ∠A = 0.25.

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

The area of the new parallelogram is A = n²bh

From the question, we have the following parameters that can be used in our computation:

b = base of the original parallelogram.

h = height of the original parallelogram.

n = Factor of the products

The area of a parallelogram from the base and the height is calculated as

A = bh

In this case, we have

Each dimension of a parallelogram is multiplied by a positive number n.

This means that

Base = bn

Height = hn

So, we have

Area = bn * hn

Evaluate

A = n²bh

Hence, the area expression is A = n²bh

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Answer:

4.2 miles

Step-by-step explanation:

1 2/5 = 7/5

7/5*3/1 = 21/5

221/5 = 4 1/5 = 4.2

The rate of change in the profit for the five months earned by the given small business is $2750.

The rate of change explains the relationship between two quantities.

Consider two quantities such profit and time in a small business.

Then, the rate of change in the profit is calculated by the ratio of change in the profit for the particular period to the time. I.e.,

rate of change in the profit = (change in the profit)/time

or

r = (p2 - p1)/(t2 - t1)

Where p1 is the profit gained at time t1 and p2 is the profit gained at time t2.

Given that, a small business earns a profit of $6500 in January (the first month of the year) and $17,500 in May (the fifth month of the year).

So, here p1 = $6500; p2 = $17,500; t1 = 1; and t2 = 5

Then, the rate of change in the profit for this period is

r = (17,500 - 6500)/(5 - 1)

 = 11000/4

 = 2750

Therefore, the rate of change in the profit for the five months is $2750.

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Answer:

I might be wrong, but if I did this right it would be D.

Step-by-step explanation:

I'm sincerely sorry if I got this wrong.

Answer:

B. 3.72 x \(10^{7}\)

Step-by-step explanation:

The distance between the sun and Mercury is approximately 36,000,000 miles.

Move the decimal point 7 positions to the left so that there is only one digit to the left of it.

Multiply that number by 10 raised to the power of 7

7 is the number of positions that the decimal point was moved.

I do not know this subject too well but hopefully this helps.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

17

Step-by-step explanation:

well with the order of operations in this case you would do division first so it would be 72/8 = 9 then next you would add the 9+8 and that would leave you with 17

therefore c is the correct answer

hope this helped

have a good day :)

Answer:

5/3

Step-by-step explanation:

5/3 doesn't belong because each denominator for the other numbers are all factors of 10 (I think thats how you say it)

Hope this helps