Can you please help me with this question

Missing image below:

Answer:

Cupcakes     Prices

   5               $7.50

   12              $18

   18              $27

Step-by-step explanation:

Given:

The double number line shows the price of 1 cupcake.

To Find:

Complete the table to show the same information as the double number line.

Solve:

Base on the 1st image:

1 cupcake costs $1.5.

Therefore, we can use the rule of three to complete the table.

If 1 cupcake costs $1.5 then 5 cupcakes would be $1.5 × =$7.50

And 18 cupcakes would be $1.5 × 18 =$27.

Then, 18  ÷ 1.5 = 12

As a result,  12 cupcakes costs $18.

Final Table:

Cupcakes     Prices

   5               $7.50

   12              $18

   18              $27

Kavinsky

The solution is

The price of 5 cupcakes = $ 7.50

The number of cupcakes for $ 18 = 12 cupcakes

The price of 18 cupcakes = $ 27

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The number line shows the price of one cupcake

The price of 1 cupcake = $ 1.50

So ,

The price of 5 cupcakes = 5 x price of 1 cupcake

Substituting the values in the equation , we get

The price of 5 cupcakes = 5 x 1.50

The price of 5 cupcakes = $ 7.50

And , the number of cupcakes that can be bought for $ 18 is

Number of cupcakes for $ 18 = 18 /  price of 1 cupcake

Substituting the values in the equation , we get

Number of cupcakes for $ 18 = 18 / 1.5

Number of cupcakes for $ 18 = 12 cupcakes

And , the price of 18 cupcakes is = 18 x price of 1 cupcake

Substituting the values in the equation , we get

The price of 18 cupcakes = 18 x 1.5

The price of 18 cupcakes = $ 27

Hence , The price of 5 cupcakes = $ 7.50

The number of cupcakes for $ 18 = 12 cupcakes

The price of 18 cupcakes = $ 27

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Answer:

\(12\dfrac 12\%\)

Step by step explanation:

\(\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72\)

Answer:

Step-by-step explanation:

When faced with identifying sequences or forms of variation, the usual ones we look for are ...

Proportional relations will have a constant ratio between y and x. That ratio is the value of k.

Inversely proportional relations will have a constant product of x and y. That product is the value of k.

Relations that are proportional to a square will have ratios of adjacent terms that are ratios of square numbers. (It is helpful to be familiar with the first few square numbers, at least.)

Exponential relations will have a constant ratio between terms, the value of b.

Polynomial relations will have constant n-th differences when the polynomial is of degree n. (First differences of a linear sequence are constant. Second differences of a "proportional to square" sequence are constant.)

In these tables, we assume q is the output and p is the input. The constant in each equation is the "constant of variation."

__

Ratios of q-values are 28/7 = 4, 63/28 = 9/4, 112/63 = 16/9. These are ratios of consecutive squares. The constant of variation is the multiplier of 1² that results in the first term: 7

  q = 7p²

__

The products of table values are pq = 48. The equation is ...

 q = 48/p

__

Ratios q/p are all the same, 2/6 = 4/12 = ... = 1/3. This is the constant of proportionality:

  q = 1/3p

\( \large \gray{ \boxed{ { \colorbox{black}{answer}}}}\)

\( \tt \: q = 7 \times {p}^{2} \)

variation

p = 48/q

constant

48

variation

p= 48/q

constant

48

variation

q=kp

constant

k=⅓

hope it helps

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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Answer:

50

Step-by-step explanation:

The average speed of the car while taking photos in m/s is 1.6 m/s

Total photos taken = 2

Time taken = 0.5 seconds

Distance = 0.8m

Thus, this can be noted as -

Distance = Marks on the road between the two photos = 0.8 meters

Time = Time between the two photos = 0.5 seconds

Speed is defined as the rate at which a distance travelled or a height reached changes. It has a time component. In the given case, the speed camera is taking photos and we are required to calculate the average speed of the car

Calculating the speed -

Average Speed = Distance ÷ Time

Substituting the values -

= 0.8 /0.5

= 1.6

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If 400 hypothesis tests are conducted with a null hypothesis assumed to be true and using a significance level of 1%, approximately 4 tests will incorrectly find significance. This is because 1% of 400 is 4 (0.01 x 400 = 4).

If the null hypothesis is true, then we would expect approximately 1% of the tests to result in a Type I error, which is incorrectly rejecting the null hypothesis. Therefore, out of the 400 tests conducted at a significance level of 1%, we would expect approximately 4 tests to incorrectly find significance.

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A 250ml tin of paint costs £3.35  tin is better value for money.

The best balance of price, quality, and sustainability to satisfy consumer needs is referred to as best value for money. Cost in this sense refers to taking into account total cost of ownership.

Value for money is seen as an effective framework for evaluating performance in not-for-profit organisations since it takes into account both the costs and benefits of delivering a service.

A 345ml tin of paint costs £4.80

345 / 4.80 = 71.87

A 250ml tin of paint costs £3.35

250 / 3.35 = 74.62

so

A 250ml tin of paint costs £3.35 is 74.62,

A 250ml tin of paint costs £3.35  tin is better value for money.

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The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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Answer:

C≈81.68cm is the answer.

Total 20 number cases should the manager order each month to server an average of 240 vashes of flowers.

Manager of a flower shop determines that an average of 240 vases of flowers is sold each month.

3 cases contain 36 vases.

so 1 case will contain 36/3 vases.

1 case will contain  = 12 vases.

How many cases of vases should the manager order each month.

Given is that 240 vashes of flowers each month is sold.

according to 12 vashes per case we need 20  cases to cover 240 vashes of flowers each month.

12* 20  = 240.

We need 20 cases here.

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The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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Step-by-step explanation:

Quadrant I: Both values are positive.

Quadrant II: x-value is -ve, y-value is +ve.

On the x-axis: y-value is 0.

On the y-axis: x-value is 0.

The point (9, 0) has a y-value of 0.

=> It lies on the x-axis.

The statement "crud matrices are created by creating a matrix that lists the classes across the top and down the side" is true

Crud matrices are created by organizing data into a matrix format where the classes or categories are listed across the top (columns) and down the side (rows).

Each cell in the matrix represents the intersection of a specific class/category from the row and column headers. Crud matrices are commonly used in data analysis to examine the relationships and frequencies between different variables or categories.

A matrix is a group of numbers that are arranged in a rectangular array with rows and columns. The integers make up the matrix's elements, sometimes called its entries. In many areas of mathematics, as well as in engineering, physics, economics, and statistics, matrices are widely employed.

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Answer:

D

Step-by-step explanation:

Answer:

each bottle of juice costs $2.04

Step-by-step explanation:

we first need to minus the cost of chips so we can focus on just the price of the juice bottles.

51.23-2.27

=48.96

this gives the total cost of all 24 bottles but we need the cost of just one, so we divide 48.96 by 24.

which gives us our answer of $2.04 per bottle.

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

y = x + 1

Step-by-step explanation:

Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.

Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.

The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.

The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.

These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.

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Answer:

real numbers

Step-by-step explanation:

f = 8.1432

Answer:

the answer is J

Step-by-step explanation:

f(x) = (3)^2 - 8 = 9-8-1

f(x)= (7)^2 - 8 = 49 - 8 = 41

1 <= f(x)<= 41

For an increase of one hour in time worked, the predicted increase in the amount of money spent on entertainment is 1.86 units.

To find the predicted increase in the amount of money spent on entertainment for an increase of one hour in time worked, we need to find the slope of the line, which is the coefficient of x in the equation.

which means that for every one unit increase in x (which in this case is one hour worked), y (which in this case is the amount of money spent on entertainment) is predicted to increase by 1.86 units.

This is the change in the dependent variable (y) for a unit increase in the independent variable (x), based on the linear relationship described by the equation of the line fit.

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Step-by-step explanation:

a. 11 + x + y = 11 + x + y. True

b. 7 - 2x + 3y = 7 - 2x + 3y. True

c. 2x + 8 = 2x + 4. False

d. -5x - 45 = -5x - 45. True

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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\(~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)

\(A=4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4}\implies A=4000(1.0125)^{16}\implies \boxed{A\approx 4879.56} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}}\)

\(A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4}\implies A=4000(1.0275)^8\implies \boxed{A\approx 4969.52}\)

well, "better" meaning more amount per same 4000, clearly the latter will be better.

Answer:

Rosemont Savings Bank; interest is $969.52

Step-by-step explanation:

because i said so <3