Mr. Anderson said, "Five less than one fourth of my age is 12." How old is Mr.
Anderson?

Answer:

Step-by-step explanation:

Let the fraction is "x"

hence putt in box we get,

1-x=3/7

x=1-3/7

taking LCM

x=7-3/7

x=4/7 Ans....

Answer:

The fraction which goes in that box is 3/7.

Answer:

1) The coordinates of point Y are \((6,8)\), 2) The coordinates of point Y are \((9,12)\).

Step-by-step explanation:

1) We know that \(X = (0, 0)\) and \(M = (3, 4)\), being the latter one the midpoint of line segment XY. Vectorially, the location of point Y is determined by the following expression:

\(Y = X + 2\cdot M\)

Now we solve the expression above:

\(Y = (0,0)+2\cdot (3,4)\)

\(Y =(0,0) +(6,8)\)

\(Y = (0+6,0+8)\)

\(Y = (6,8)\)

The coordinates of point Y are \((6,8)\).

2) We know that \(X = (0, 0)\) and \(M = (3, 4)\), being the latter one a third of the way of line segment XY.

Vectorially, the location of point Y is determined by the following expression:

\(Y = X + 3\cdot M\)

Now we solve the expression above:

\(Y = (0,0)+3\cdot (3,4)\)

\(Y =(0,0) +(9,12)\)

\(Y = (0+9,0+12)\)

\(Y = (9,12)\)

The coordinates of point Y are \((9,12)\).

Answer:

(6, 8)

Step-by-step explanation:

Answer:

It would be D

because you need to multiple 3x3 to get 9 so the answer to your problem is D

Answer:

B

Step-by-step explanation:

So we are trying to find the number that is not between \(\frac{\sqrt{16}}{2}\) and 3π on the number line. To do this, lets try to find roughly (exactly if possible) that \(\frac{\sqrt{16}}{2}\) and 3π are. Lets start with \(\frac{\sqrt{16}}{2}\).

\(\frac{\sqrt{16}}{2}=\frac{4}{2}=2\)

So now, by looking at the number line, we can see that the values must be greater than 2. Now lets find 3π. Lets use 3.14 for π (3.14 is actually smaller than the actual value of π):

3(3.14) = 9.42

So we know that the value must be less than 9.42.

We can rewrite answer choice A as 2.08, with is more than 2 and less than 9.42. Therefore, it is between the two numbers on the number line.

While I do not know the exact value of √0.4, I know that it will be less than 1, making it less than 2. Therefore, it is not between the two numbers on the number line, and therefore is our answer.

Lets go through the other two answer choices though.

For C, while 9.37 is close to 9.42, it is still less than 9.42 and greater than 2, and therefore is between the two numbers on the number line.

For D, √9 can be rewritten as 3, which is between the two numbers on the number line.

Even if you did not know that answer choice B, √0.4, was less than 1, you still would have been able to find that B was the correct answer by the process of elimination.

I hope you find my answer helpful.

Answer:

-1024

Step-by-step explanation:

multiply each number by 2

Answer:

x = 26

Step-by-step explanation:

Given

\(\frac{1}{3}\) (x - 2) = \(\frac{1}{5}\) (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.

The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.

Essentially, the successor of a set adds the set itself as a new element to the original set.

This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.

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Answer:

(7.5, 3)

Step-by-step explanation:

(5,5) and (10, 1)

Midpoint:

\((\frac{x1 + x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{5 + 10}{2} ,\frac{5+1}{2} )\\\\(\frac{15}{2} ,\frac{6}{2} )\\\\(7.5,3)\)

Answer:

it should be (7.5,11.25)

Step-by-step explanation:

Answer:

the answer is ab

Step-by-step explanation:

you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b

Let me know if this helps :)

Answer:

3600

Step-by-step explanation:

Reason is because you put the answer in your question.

Answer:

Rs.10800

Step-by-step explanation:

loss of article(L%)=10%

s.p=?

c.p of an article (c.p)=c.p

Now,

s.p=100-L%×c.p

_____

100

= 100-10 ×c.p

_____

100

=90 ×c.p

___

100

=0.9 × c.p

if article sold with Rs. 540 more

Article profit =5%

s.p =c.p + 540 =100+p%×c.p

______

100

or, c.p +540=105×c.p

______

100

or, c.p +540=1.05×c.p

or,c.p +540=1.05c.p

or, 540=1.05c.p-c.p

or,540=0.05c.p

or, 540=c.p

____

0.05

Therefore, c.p =Rs. 10800

30

Given the expression for the instantaneous voltage expressed as:

Given the following parameter:

θ = 30⁰

Substitute the given parameter into the formula to have:

Therefore the instantaneous voltage when θ = 30⁰ is 30.

Answer: 3.46

Step-by-step explanation:

The statement, "Only datasets having a linear relationship between variables can be assessed using regression analyses" is False, because Non-Linear relationships also can be assessed, the correct option is (b)False.

The Regression Analysis can be used to assess the relationship between variables, including non-linear relationships.

There are various types of regression models that can capture non-linear relationships, such as polynomial regression, exponential regression, and logarithmic regression.

The interpretation of the regression coefficients and other statistics may be different in non-linear regression models compared to linear regression models.

Therefore, the given statement is (b)False.

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There is only one way to divide the 12 people into committees of sizes 3, 4, and 5, and the probability of this division occurring is 1.

To find the number of divisions possible and the probability, we need to consider the number of ways to divide 12 people into committees of sizes 3, 4, and 5.

First, we determine the number of ways to select the committee members:

For the committee of size 3, we can select 3 people from 12, which is represented by the combination "12 choose 3" or C(12, 3).

For the committee of size 4, we can select 4 people from the remaining 9 (after selecting the first committee), which is represented by C(9, 4).

Finally, for the committee of size 5, we can select 5 people from the remaining 5 (after selecting the first two committees), which is represented by C(5, 5).

To find the total number of divisions, we multiply these combinations together: Total divisions = C(12, 3) * C(9, 4) * C(5, 5)

To calculate the probability, we divide the total number of divisions by the total number of possible outcomes. Since each person can only be in one committee, the total number of possible outcomes is the total number of divisions.

Therefore, the probability is: Probability = Total divisions / Total divisions

Simplifying, we get: Probability = 1

This means that there is only one way to divide the 12 people into committees of sizes 3, 4, and 5, and the probability of this division occurring is 1.

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Answer:

x + y = 12

Step-by-step explanation:

sum means addition so if the question is right

then addition of x and y is 12

It is not possible to determine the radius of a circle from the given equation. The equation \("x^2 + y^2 = 121"\) is the standard form equation for a circle, but it does not contain information about the radius of the circle.

The standard form equation of a circle with radius r is \("x^2 + y^2 = r^2"\). To find the radius of a circle from this equation, you can take the square root of both sides of the equation to get \(\sqrt{x^2 + y^2} = \sqrt{r^2}\). This simplifies to "\(|x^2 + y^2| = r\)", so the radius of the circle is equal to the absolute value of the right side of the equation.

To find the radius of a circle from the equation "\(x^2 + y^2 = 121\)", you would need to take the square root of both sides to get "\(|x^2 + y^2| = 11\)". The radius of the circle is therefore 11.

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Answer:

(a) 1416

(b) 2 × 2 × 2 × 3 × 59

Step-by-step explanation:

The prime numbers between 0 and 10 are 2, 3, 5,7 (1 is not considered prime)
Therefore m = 2357

The square numbers between 0 and 10 are  1, 4, 9 and in descending order 9,4.1so n = 941

m - n = 2357 - 941 = 1416

Unique prime factors of 1416 are 2,3,59

1416 as a product of prime factors = 2 × 2 × 2 × 3 × 59

Step-by-step explanation:

(1) Create a table containing a few values of x and y

y - 3 = ½(x + 2)

   y = ½(x + 2) + 3

x     y

-10    -1

-6      1

0      3

6      7

10     9

(2) Plot your points

Draw dots at the coordinates of each point.

(3) Draw the graph

Draw a smooth line through the points.

Extend the line in both directions to the edges of the plot area.

Your graph of y - 3 = ½(x+2) should look like the figure below.

Have a beautiful day!

Answer: Slope = 1/4   Y intercept is (0,4)  X Intercept is (-8,0)

Step-by-step explanation: you have to graph the points by using the slope and Y intercept

the expected return percentage is approximately 8.04%. , which is not among the provided answer options.

To calculate the expected return percentage, Expected return percentage = (Residual Income / Average Operating Assets) × 100

Plugging in the given values:

Expected return percentage = (58,250 / 5,675,000) × 100 ≈ 1.026% The expected return percentage is typically calculated by dividing the residual income by the average operating assets and expressing it as a percentage.

Now, to calculate the expected return percentage, we divide the required return by the average operating assets:

Expected Return Percentage = (Required Return on Average Operating Assets) / Average Operating Assets

Expected Return Percentage = $456,750 / $5,675,000

Calculating this division, we get:

Expected Return Percentage ≈ 0.0804

Converting this to a percentage, we find that the expected return percentage is approximately 8.04%.

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Answer:

27/34

Step-by-step explanation:

To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.

To find the particular solution to a differential equation, we need to know the specific form of the differential equation. Without this information, it is not possible to determine the particular solution.

A differential equation is an equation that relates a function and its derivatives. The form of the differential equation determines the method used to solve it and find the particular solution.

For example, a simple linear first-order ordinary differential equation has the form:

\(\frac{dy}{dx} = f(x)\).

To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.

The method of solution depends on the specific type of differential equation, which can include linear equations, separable equations, exact equations, etc. Each type of equation requires different techniques to find the particular solution.If you provide the specific form of the equation you want to solve or any additional information or context, I can guide you through the process of finding the particular solution. Otherwise, without the differential equation, it is not possible to determine the particular solution.

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Answer:

yes ..................

Answer:

Scale factor = 3

Step-by-step explanation:

A - B = 1-3

3 - 1 = 2

A' - B' = 3-9

9 - 3 = 6

6 / 2 = 3

The volume of the hexagonal prism is 2630.5 \(cm^{3}\)

Hexagonal Prism is a three-dimensional prism with a hexagonal base and top. The hexagonal prism contains 2 hexagons (one is the base and the other on the top) and 6 rectangles connecting the hexagonal faces.

How to determine this

Volume of Hexagonal prism = (3√3/2) * \(s^{2} h\)

Where s is the sides of the hexagonal base

h is the height of the hexagonal base

Volume of hexagonal base = 3√3/2 * (\((7.5^{2} )\) * 18

Volume  = 3√3/2 * 56.25 * 18

Volume = 3√3/2 *1012.5

Volume = 2.598 * 1012.5

Volume = 2630.475

Volume = 2630.5 \(cm^{2}\)

Therefore, the volume of hexagonal prism is 2630.5 \(cm^{2}\)

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Hope this helps

The general form of an exponential function is y = a(b)^x, where 'a' is the initial value or y-intercept, 'b' is the growth factor or base, and 'x' is the input variable.

To find the equation of the exponential function represented by the table, we need to determine the values of 'a' and 'b'.

From the table, we can see that when x = 0, y = 3. This means that the initial value or y-intercept is 3, so we can set a = 3.

Next, we can use the values of y to find the growth factor or base 'b'. We can start by finding the ratio of two consecutive y-values:

12/3 = 4

48/12 = 4

192/48 = 4

The ratio of any two consecutive y-values is constant and equal to the growth factor 'b'. Therefore, we can set b = 4.

Now we can write the equation of the exponential function:

y = 3(4)^x

Therefore, the equation of the exponential function represented by the table is y = 3(4)^x.

6. Solution for |2x-3| = |x| are x = 1,3

7. Solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8. Number of computer meets in the condition = 6

Average:

                Average of given number is given by sum of all numbers divided by total number of numbers.

6.  |2x-3| = |x|

Case I :

            when x<0

            |2x-3| = |x|

           -(2x-3) = -x

           -2x + 3 = -x

             2x - x = 3

            x = 3 ( Not possible as x<0 )

           No solution in this case.

Case II :

            when   0< x< 3/2

              |2x-3| = |x|

            -(2x -3) = x

            -2x + 3 = x

             2x +x = 3

             3x = 3

              x =1 (Valid solution)

Case III :

             when x>3/2

             |2x-3| = |x|

             2x-3 = x

             2x -x =3

              x = 3 (Valid solution)

Thus solution for |2x-3| = |x| are x = 1,3

7.

          8 + |4v - 7| ≥ 17

               |4v - 7|  ≥ 17 -8

                |4v - 7| ≥ 9

      ⇒   4v - 7 ≥ 9

            4v ≥ 9+7

             v ≥  4

and,

         4v - 7 ≤ - 9

         4v ≤  -2

          v ≤ -1/2

     Thus solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8.

       We know,

                  Average of quantity =  sum of quantity / Number of quantity

    For the given question,

        Sum of price of all computer =  $ (890+650+ 660+450+        725+750+370+670+650+825)

                                   = $ 6640

  and       Number of computer = 10

Average price of computer = $ 6640/10

                                          = $ 664

      Absolute deviation is  $100

So i can pay price between

                                          ($ 664 - $100) to ($ 664 + $100)

                                         that is $564 to  $764

Number of computer meets in this condition = 6

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When testing the hypotheses: h0:μ=80 ha:μ≠80, we find t=1.54 with 20 degrees of freedom, the appropriate p-value is 0.1388.

What is a p-value?

The probability of observing a sample statistic as extreme as the test statistic in a hypothesis test, assuming the null hypothesis is true, is called the p-value. The significance level is used to determine whether the p-value is small enough to reject the null hypothesis.

The p-value is the smallest significance level at which the null hypothesis can be rejected if the null hypothesis is true. The smaller the p-value, the greater the evidence against the null hypothesis, and the more likely it is that the null hypothesis should be rejected.When testing hypotheses with a t-distribution, we use t-tests. The t-test is used to compare a sample mean to a population mean when the population standard deviation is unknown.

What is the appropriate p-value?

The t-value can be calculated using the t-table, or it can be calculated using technology such as Excel or a TI-83 calculator. Given that t=1.54 with 20 degrees of freedom, we can use the t-distribution table to find the p-value associated with the t-value of 1.54 and 20 degrees of freedom.The p-value for a two-tailed test with a t-value of 1.54 and 20 degrees of freedom is 0.1388. This means that if the null hypothesis is true, there is a 13.88 percent chance of obtaining a sample mean as extreme as the one observed. Since the p-value is higher than the significance level (α) of 0.05, we cannot reject the null hypothesis.

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Answer:

2.8 * 10^-3 - 0.00065 = -3.7 * 10^-3

Step-by-step explanation:

2.8 * 10^-3 - 0.00065 = 2.8 * 10^-3 - 6.5 * 10^-4

To subtract the two numbers, we need to express them with the same power of 10. We can do this by multiplying 6.5 * 10^-4 by 10:

2.8 * 10^-3 - 6.5 * 10^-4 * 10

Simplifying:

2.8 * 10^-3 - 6.5 * 10^-3

To subtract, we can align the powers of 10 and subtract the coefficients:

2.8 * 10^-3 - 6.5 * 10^-3 = (2.8 - 6.5) * 10^-3

= -3.7 * 10^-3

Therefore, 2.8 * 10^-3 - 0.00065 = -3.7 * 10^-3 in scientific notation.

Answer:

Answer is 980.

Step-by-step explanation:

First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.

Answer:

The answer is 980.

Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.

Hope this helps.