23. YOU BE THE TEACHER Your friend finds
the difference. Is your friend correct?
Explain your reasoning.
IN
ODIN
3 9
+
2 2
12
= 6
2

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

sense its between -2 and -4

*question

Answer:

30 cm

Step-by-step explanation:

let x be the lenght of the two sides of equal lenghts, so the other is x+3

and the perimeter is x+x +x +3

P=3x+3

P=3(x+1)

93=3(x+1)

31=x+1

x=30

so the shorter sides are of 30 centimeters and the longest is 33

The number of populations that he needs to answer this question is the number of classes that he teaches.

Population: Collection or set of individuals or objects or events whose properties will be studied.

Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

Hence in this problem each population is the set of all students in each class, hence the number of populations that he needs to answer this question is the number of classes that he teaches.

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Answer:

A.

Step-by-step explanation:

The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.

If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

When multiplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of the equation)

Answer:

use the tangent function to set up an equation:

tan(70°) = h/100

We can then solve for h by multiplying both sides by 100 and taking the tangent of 70 degrees:

h = 100*tan(70°)

Using a calculator, we get:

h ≈ 315.96 feet

the height of the tower is approximately 315.96 feet.

Hope this helps! :)

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

f(3)=-2(3)^2+3-5=16

Step-by-step explanation:

You just plug 3 in for x

Answer:

\(f(x) = - 2 {x}^{2} + x - 5 \\ f(3) = - 2 {(3)}^{2} + 3 - 5 \\ f(3) = - 20\)

Answer:

B 440 feet

Step-by-step explanation:

C = 2(3.14)r

= 2(3.14)70 feet

= 6.28(70 feet)

= 439.6

439.6 is approximate to 440 feet

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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The odds ratio of income is 1.00320, rounded to 5 decimal places.

The odds ratio of income can be calculated using the formula given below:

odds ratio = odds of personal loan when income increases by 1 unit

Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.

Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122

P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878

Odds of personal loan = 0.0122 / 0.9878 = 0.0124

The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))

Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122

P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414

We have, odds ratio = odds of personal loan when income increases by 1 unit

odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320

Round the answer to 5 decimal places = 1.00320

The odds ratio of income is 1.00320, rounded to 5 decimal places.

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Answer:

7 tens

Step-by-step explanation:

the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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The elephant grass will grow 105/4 inches in 7 days

The elephant grass grows 3 3/4 inches in a day

The number of inches it can grow in 7 hours can be calculated as follows

15/4= 1

x= 7

cross multiply both sides

x= 15/4 × 7

x= 105/4

Hence the elephant grass will grow 105/4 inches in 7 days

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Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

The piecewise function for the discounted price of the purchase is given by:

A piecewise function is a function that has different definitions, depending on the input.

For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:

D(x) = 0.96x, 300≤x<1,000

For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:

D(x) = 0.95x, 1,000≤x<3,000.

For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:

D(x) = 0.94x, 3,000≤x<5,000.

For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:

D(x) = 0.9x, 5,000≤x.

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Answer:

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

Answer:

D. f and h

Step-by-step explanation:

The function f is a liner function because for every increase in x, there is a proportional increase in f(x). This can be seen when the x value goes from 2 to 4, so a 2 unit increase, the f(x) value increases by 3. Since this is true for every interval of 2 in f(x) -- increase x by 2 results in an increase in 3 of f(x) -- then f(x) is a linear function.

The same principle can be applied to h(x), with each 4 unit increase in x, the h(x) value increase by 36.

The function g(x) is not a linear function because for each unit increase of x, there is not a proportional increase (or decrease) in g(x). As seen in the table, g(2)-g(1)= 8-4= 4. For g(x) to be a linear function, every other one unit increase in x should result in a 4 unit increase in g(x0. But this does not occur. g(3)-g(2)= 16-8= 8 , g(4)-g(3)= 32-16= 16, 8 and 16 are not equal to four so g(x) cannot be a linear function.

Answer:

The forces by which God has caused the earth and the universe to operate are called supernatural laws.

Answer:

no idea

Step-by-step explanation:

If you are only considering sides that are whole numbers, then you're basically looking for all the possible ways to multiply two numbers to get 48. In other words, we're listing all the ways to factor 48.

That list is

The order for each pairing doesn't matter. Something like 3*16 is the same as 16*3.

If x and y were not positive integers, but instead positive real numbers, then x*y = 48 has infinitely many (x,y) solutions.

Answer:

Table c

Step-by-step explanation:

Required:

Which of the 4 has the greatest rate of change

For Graph (A):

We start by picking any two equivalent points on the table:

\((x_1,y_1) = (0,1)\)

\((x_2,y_2) = (2,5)\)

Next, we determine the slope, m:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{5-1}{2-0}\)

\(m = \frac{4}{2}\)

\(m = 2\)

This represents the rate of change:

For (B): \(y = 3x + 7\)

An equation is of the form:

\(y = mx + b\)

Where

m represents slope or rate of change:

By comparison:

\(m = 3\)

For table (C):

We start by picking any two equivalent points on the table:

\((x_1,y_1) = (1,7)\)

\((x_2,y_2) = (2,12)\)

Next, we determine the slope, m:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{12-7}{2-1}\)

\(m = \frac{5}{1}\)

\(m = 5\)

This represents the rate of change:

For (D):

The $1.00 paid every week represents the rate of change.

So:

\(m = 1\)

For A - D:

The rate of change are:

\(A = 2\)

\(B = 3\)

\(C = 5\)

\(D = 1\)

5 is the greatest.

Hence, (c) has the greatest rate of change

Answer:

The first one is correct

Step-by-step explanation:

ITs all good

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

SOLUTION:

Case: Axis of symmetry of quadratic function

Given: A graph with a turning point

Required: To find the axis of symmetry of the quadratic function

Method:

Use a vertical on the divide the graph into two equal parts

Final answer:

The axis of symmetry is at x=2