Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

Answer:

Sarah is incorrect.

Step-by-step explanation:

By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is not 42 - it's 41. So, Sarah is incorrect.

Answer:

Sarah is not correct because if David already knows 21 recipes and learns 2 recipes per week, then he will know only 41 recipes after 10 weeks, not 42.

Step-by-step explanation:

To see if Sarah is correct, let's replace the y in the equation with 42 and the x with 10:

y = 2x + 21

42 = 2(10) + 21

42 = 20 + 21

42 \(\neq\) 41

Sarah is wrong.

Answer:

Step-by-step explanation:

The figure is a combination of a triangle and a rectangle

Area of rectangle = bh = 15(5) = 75

We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.

If  f(x) = (t³ + 6t² + 6) dt, then f"(x) = 0 is a wrong statement. To find the second derivative of f(x), we need to follow the below steps:

Find the first derivative of f(x)df(x)/dx = d/dx (t³ + 6t² + 6) dt= 3t² + 12t

Find the second derivative of f(x) d²f(x)/dx² = d/dx (3t² + 12t)= 6t + 12

Given f(x) = (t³ + 6t² + 6) dt, the objective is to find f"(x). To find the second derivative of f(x), we first need to find the first derivative of f(x).The first derivative of f(x) can be found as follows:

df(x)/dx = d/dx (t³ + 6t² + 6) dt

If we apply the integration formula for the derivative of xn, we get:

dn/dxn (xn) = nx(n-1)

So, in this case,d/dx (t³ + 6t² + 6) dt = 3t² + 12t

The second derivative of f(x) can be found as follows:

d²f(x)/dx² = d/dx (3t² + 12t)

By using the formula for dn/dxn (xn), we can find the second derivative of f(x)d²f(x)/dx² = 6t + 12

On simplification, we get:f"(x) = 6t + 12

Therefore, it can be concluded that the answer provided in the question is not correct. The correct answer is f"(x) = 6t + 12.

To know more about first derivative visit:

brainly.com/question/10023409

#SPJ11

The required way to write logarithmic function is \(\log_{b}({b^x})=x\)

A base must be raised to a certain exponent or power, or logarithm, in order to produce a specific number. If bx = n, then x is the logarithm of n to the base b, which is expressed mathematically as x = logb n. For instance, 23 = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log2 8.

The formula for the logarithmic function is f(x) = log base b of x. The base 10 is used for the common log.

The base used by the natural log is e, an irrational integer with the value 2.71828.

To know more about logarithmic function visit:

brainly.com/question/30284289

#SPJ4

Answer:

\(3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)\)

Step-by-step explanation:

Given the expression

\(3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)\)

solving to write into a single logarithm

\(3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)\)

\(3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)\)

so

\(=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)\)

\(2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)\)

so

\(=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)\)

\(\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)\)

so

\(=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)\)

\(\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)\)

\(=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)\)

Thus,

\(3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)\)

Answer:

A equivalent fraction for 1/2 is 6/12

Step-by-step explanation:

Answer:

2/4, 3/6, 4/8, 5/10, and 6/12 are all equivalent fractions. Hope this helped :)

The correct option is c. Analysis of variance.

ANOVA stands for Analysis of Variance, which is a statistical method used to test the equality of three or more population means by analyzing the variance between samples.

In an ANOVA, the variance is partitioned into different components, including the variance between groups and the variance within groups. If the variance between groups is larger than the variance within groups, it suggests that there are significant differences between the means of the groups being compared.

ANOVA is commonly used in experimental research to test the effects of one or more independent variables on a dependent variable. It allows researchers to determine whether the means of different groups are significantly different from one another, and if so, which groups are significantly different.

Overall, ANOVA is a powerful statistical tool that enables researchers to test hypotheses and draw conclusions about the differences between multiple groups or treatments.

Learn more about Analysis of Variance

brainly.com/question/30038124

#SPJ11

The adder adds the two numbers and produces the output of 10.

The adder is a component of a computer that performs addition of two integers. It takes two inputs and produces the sum of the two numbers as its output.

Example 1: Compute 10 + 11

Step 1: Take the two numbers 10 and 11 as the two inputs to the adder.

Step 2: The adder adds the two numbers and produces the output of 21.

Example 2: Compute 4 + 6

Step 1: Take the two numbers 4 and 6 as the two inputs to the adder.

Step 2: The adder adds the two numbers and produces the output of 10.

Therefore, the adder adds the two numbers and produces the output of 10.

Learn more about the sum of numbers here:

https://brainly.com/question/2289438.

#SPJ1

The decimal notation of 4.93 x 10³ will be 4930.00.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is;

4.93 x 10³

Now, Solve for decimal notation as;

4.93 x 10³ = 4.93 x 10 x 10 x 10

               = 49.3 x 10 x 10

               = 493 x 10

              = 4930.00

Thus, The decimal notation of 4.93 x 10³ will be 4930.00.

Learn more about the decimal notation visit:

https://brainly.com/question/14222303

#SPJ1

(a) The monthly cost E as a function of the amount x of electricity used can be expressed using a piecewise function.

For x ≤ 500 kWh:

E(x) = $8 + 0.12x

For 500 < x ≤ 1000 kWh:

E(x) = $8 + (0.12 * 500) + 0.13(x - 500)

For x > 1000 kWh:

E(x) = $8 + (0.12 * 500) + (0.13 * 500) + 0.16(x - 1000)

In the first equation, the base charge of $8 is added to the additional cost per kilowatt-hour, which is 0.12x.

In the second equation, the base charge is added to the cost of the first 500 kWh at a rate of 0.12 per kWh, and then the additional cost for the next (x - 500) kWh is added at a rate of 0.13 per kWh.

In the third equation, the base charge is added to the cost of the first 500 kWh and the next 500 kWh, and then the additional cost for all kWh beyond 1000 is added at a rate of 0.16 per kWh.

(b) To graph the function E for 0 ≤ x ≤ 2000, we plot the points using the given piecewise equations and connect them with line segments.

Here is the graph of the function E:

```

    |

    |

160  |               +-------------------------+

    |              /                          |

    |             /                           |

120  |            /                            |

    |           /                             |

    |          /                              |

80   |   +------+                               +-------+

    |  /                                              \

    | /                                               \

40   |+                                                 \

    |                                                   \

    |                                                     \

0    +-------------------------------------------------------+

    0    500           1000                     1500          2000

```

The x-axis represents the amount of electricity used (in kWh), and the y-axis represents the monthly cost E (in dollars). The graph consists of three line segments with different slopes.

(c) The graph represents the function E as a step function with three linear segments. Each segment corresponds to a different range of x and has a different slope.

The first segment is a straight line with a slope of 0.12, representing the rate of $0.12 per kWh for the first 500 kWh used. This segment starts at the point (0, 8) and ends at the point (500, 68).

The second segment is a straight line with a slope of 0.13, corresponding to the rate of $0.13 per kWh for the next 500 kWh used. This segment starts at the point (500, 68) and ends at the point (1000, 123).

The third segment is a straight line with a slope of 0.16, indicating the rate of $0.16 per kWh for all additional kWh used. This segment starts at the point (1000, 123) and continues indefinitely as x increases.

The vertical jumps at x = 500 and x = 1000 represent the points where the different linear segments meet, corresponding to the changes in the rate per kWh and the additional cost.

Know more about piecewise function here:

https://brainly.com/question/28225662

#SPJ11

The data collected in the survey was univariate data, so a histogram should be used to display the data.

In Mathematics and statistics, a numerical data can be defined as a type of data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data simply refers to a type of data set consisting of numbers (numerals), rather than words or letters.

In Mathematics and statistics, a univariate data can be defined as a type of data set that is typically composed of observations on a single attribute or characteristic only.

In conclusion, we can logically deduce that the given data set is both univariate and numerical, which ultimately implies that a histogram should be used to display the data..

Read more on univariate data here: https://brainly.com/question/29974181

#SPJ1

The volume of the  is right triangular prism is   600 cubic feet.

In a right triangular prism, the area of the triangular base is 50 square feet, and the height of the prism is 12 feet. To find the volume of the prism, we can use the formula:

Volume = Base Area × Height

Step 1: Identify the base area, which is given as 50 square feet.
Step 2: Identify the height of the prism, which is given as 12 feet.
Step 3: Multiply the base area by the height to find the volume.

Volume = 50 square feet × 12 feet = 600 cubic feet

So, the volume of the right triangular prism is 600 cubic feet.

To know more about "Volume" refer here:

https://brainly.com/question/29255732#

#SPJ11

Answer:

The answer should be C

Answer:

\(f^{-1}(7)=2\)

Step-by-step explanation:

\(f^{-1}(7)\) means substitute x = 7 into the inverse function \(f^{-1}\)

\(\implies f^{-1}(7)=\frac{7-1}{3} =2\)

Answer:

D

Step-by-step explanation:

5 and 1/2 is not a whole nubmer in this list

Lol, channel be asking for a 100 dollars for a f-ing straw

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

Learn more about Eigenvalue:

https://brainly.com/question/29749542

#SPJ4

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

Answer

Volume for math practice?

Step-by-step explanation:

The probability that a box weighs between 16.4 and 16.5 ounces is approximately 14.45% (rounded to 2 decimal places). To solve this problem, we need to use the z-score formula:
z = (x - μ) / σ
where x is the weight of the box, μ is the mean weight of all boxes, σ is the standard deviation of weights, and z is the number of standard deviations away from the mean.

In this case, we want to find the probability that a box weighs between 16.4 and 16.5 ounces. We can convert these weights to z-scores as follows:

z1 = (16.4 - 16.3) / 0.21 = 0.48
z2 = (16.5 - 16.3) / 0.21 = 0.95

Using a z-score table or calculator, we can find the area under the standard normal curve between these two z-scores:

P(0.48 ≤ z ≤ 0.95) = 0.1736

Therefore, the probability that a box weighs between 16.4 and 16.5 ounces is 0.17 or 17% (rounded to 2 decimal places).
Hi! To find the probability that a box weighs between 16.4 and 16.5 ounces, we can use the z-score formula and the standard normal table.

First, let's calculate the z-scores for 16.4 and 16.5 ounces using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

For 16.4 ounces:
z1 = (16.4 - 16.3) / 0.21 ≈ 0.48

For 16.5 ounces:
z2 = (16.5 - 16.3) / 0.21 ≈ 0.95

Now, use the standard normal table to find the area between these z-scores:
P(0.48 < z < 0.95) = P(z < 0.95) - P(z < 0.48) ≈ 0.8289 - 0.6844 = 0.1445

The probability that a box weighs between 16.4 and 16.5 ounces is approximately 14.45% (rounded to 2 decimal places).

Visit here to learn more about probability brainly.com/question/30034780
#SPJ11

The relation r = {(1,1),(1,2),(1,4),(2,1),(2,2),(3,3),(4,1),(4,4)} on the set a = {1,2,3,4} is not reflexive.

Reflexivity in a relation means that every element in the set is related to itself. In other words, for every element 'x' in the set, the pair (x,x) should be included in the relation.

In the given relation, the element 3 is in the set a = {1,2,3,4}, but there is no pair (3,3) in the relation. Therefore, the relation r is not reflexive.

To demonstrate reflexivity, we would need to have (x,x) pairs for each element x in the set. In this case, the pair (3,3) is missing, which violates the condition of reflexivity.

Hence, the reason why the relation r = {(1,1),(1,2),(1,4),(2,1),(2,2),(3,3),(4,1),(4,4)} is not reflexive is because it does not contain the required (x,x) pairs for all elements in the set a = {1,2,3,4}.

Learn more about set here:

https://brainly.com/question/30705181

#SPJ11

Here, from the figure we see that,

Line EI is parallel to HG.

And EH and GI act as the transversal lines for the given parallel pair.

So, we get

Therefore, we have two angles and one side equal in two triangles.

Henceproved that , they are congruent with the ASA (Angle Side Angle)rule.

Answer:

x=2

Step-by-step explanation:

Given: 3ln2 +ln8=2ln(4x)

          ⇒ln \(2^{3}\)+ln8=2ln(4x)            ( m ln (n)= ln(\(n^{m}\)))

             ⇒ ln8+ln8= 2ln(4x)

            ⇒ 2ln8= 2ln(4x)

   comparing both sides, we get

  8=4x

  ⇒x=2

Answer:

x = 7

Step-by-step explanation:

tan 30 = x/7√3

tan 30 = 0.5774

x = 0.5774(7√3)

x = 7

The number of agent arrangements where order is important can be calculated using the concept of permutations. The number of agent arrangements can be calculated as 12P6 = 665,280.

To find the number of agent arrangements where order is not important, we need to use the concept of combinations. In this case, the order of assigning customers to agents does not matter. We still have 12 sales agents and 6 customers to assign. The number of agent arrangements where order is not important can be calculated using combinations. We can use the formula 12C6 to determine the number of ways to choose 6 agents from a group of 12. The calculation would be 12C6 = 924.

In this case, we are only concerned with selecting the agents, not the order in which they are assigned to customers. For example, if agents A, B, C are assigned to customers 1, 2, 3, respectively, it is considered the same arrangement as if agents B, C, A are assigned to customers 1, 2, 3, respectively.

To summarize, the number of agent arrangements where order is important is 665,280, calculated using permutations (12P6). The number of agent arrangements where order is not important is 924, calculated using combinations (12C6).

To learn more about permutations click here:

brainly.com/question/29990226

#SPJ11

Find the GCD (or HCF) of numerator and denominator. GCD of 25 and 35 is 5.

25 ÷ 535 ÷ 5.

Reduced fraction: 57.

Answer:

5/7

Step-by-step explanation:

divide both the numerator and denominator by 5 to get 5/7

Answer: 4,50,000 or 63

Step-by-step explanation: I add

Answer and Step-by-step explanation:

450,000 is half of 900,000, so that means 900,000 is 450,000 more than 450,000.

#teamtrees #PAW (Plant And Water)

Answer:

-1

Step-by-step explanation:

The number never changes when you divide by 1. So -1/1=-1.

-Hope this helped

Answer: \(f^{-1}(n)=2n+3\)

Step-by-step explanation:

         To find the inverse, first we will set the equation equal to y.

f(n) = (n - 3)/2

y = (n - 3)/2

         Next, we will switch the n and y values.

n = (y - 3)/2

         Now, we will solve for y.

    First, multiply both sides of the equation by 2.

2n = y - 3

    Next, add 3 to both sides of the equation.

y = 2n + 3

    Lastly, write it with inverse notation.

\(f^{-1}(n)=2n+3\)

Divide the principal by the time, interest rate, and time period to calculate simple interest.Annual interest rate is 0.02.

Divide the principal by the time, interest rate, and time period to calculate simple interest.The equation is expressed as "Simple Interest = Principal x Interest Rate x Time."It is easiest to calculate interest using this equation.

I, or the interest earned or charged on a loan, can be calculated using the straightforward interest formula.

I = Prt, where P is the principal, r is the yearly interest rate stated in decimal form, and t is the loan term expressed in years, gives the amount of interest.

It is necessary to transform the rate r from percentage to decimal form.

Then, 2,000 = 1,000 * r * 10 ;

Finally, r = 2 ÷ 10 = 20 ÷ 100 = 0.02

To learn more about annual interest refer

https://brainly.com/question/813675

#SPJ1

Answer:

Step-by-step explanation:

180 - 67 = 113

180 - 113 - 42 = 25

α = 25º