(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole

Answer:

It is not rational

Step-by-step explanation:

Given

\(\sqrt 3 * 2.8\)

Required

Rational or Irrational

\(\sqrt 3 * 2.8\)

\(\sqrt 3 =1.73205\)

So, we have:

\(\sqrt 3 * 2.8 = 1.73205 * 2.8\)

\(\sqrt 3 * 2.8 = 4.84974\)

The result of the product: 4.84974  is not rational because it can not be represented as a fraction of two integers.

Answer:

(c) A false negative (concluding the job candidate is not a drug user when he or she indeed is)

Step-by-step explanation:

First, we need to determine if it is possible for type II error to occur or not.

In analysis, type 2 error occurs when the stated null hypothesis is false.

The given null hypothesis here is  "a job candidate is not a drug user" which indicates false. This means that option (e) cannot be the solution.

Having established that there is a possibility for an occurrence of type II error.

Next, is to determine the error.

Type II error implies false negative; hence, options (a), (b) and (d) cannot be the solution.

(c) is correct.

Answer:

The solution (3, -2).

Step-by-step explanation:

The easiest way to find this solution is inputting these two equations into Desmos Graphing Calculator!

Answer:

x = 3,y = -2

Step-by-step explanation:

Given data:

Y= -2

4x -3y=18

Solve:

Substitute the given y-value into 4x−3y=18 and solve for x

Since, y = -2,

\(4x-3(-2)=18\)

\(4x+6=18\)

\(4x+6-6=18-6\)

\(4x=12\)

\(\frac{4x}{4}=\frac{12}{4}\)

\(x = 3\)

The solution to the system of equations is x = 3, y = -2

~Learn with Lenvy~

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Step 1. The figure formed by the points A, B, C, and D is shown in red in the following image:

We need to determine the most precise name for this figure.

Step 2. The options we are given are:

-Trapezoid

-Isosceles triangle

-Rhombus

-Parallelogram

A diagram of these 4 figures:

The figure is not a trapezoid, and it is also not an isosceles triangle.

Step 3. To distinguish between the rhombus and the parallelogram we consider the following property of these figures:

In a rhombus all of the sides are equal, and in a parallelogram, sides can be different but opposite sides are equal.

Therefore, we need to determine the length of the sides of our figure.

Step 4. The top side and the bottom side have a length of 5:

To find the length of the diagonal side, we use the Pythagorean theorem:

Therefore, the length of the diagonal sides is:

The diagonal sides are also 5,

Therefore, since all of the sides are equal, the figure is a rhombus.

Answer:

C. rhombus

Check the one-sided limits:

\(\displaystyle \lim_{x\to5^-}f(x) = \lim_{x\to5}kx = 5k\)

\(\displaystyle \lim_{x\to5^+}f(x) = \lim_{x\to5}8x^2 = 200\)

If f(x) is to be continuous at x = 5, then these two limits should have the same value, which means

5k = 200

k = 200/5

k = 40

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

common denominator = 40

12/40 whole number

Answer:

yyou slope intrecept is already there

Step-by-step explanation:

2+2=4

Answer:

9x+3y=36

Step-by-step explanation:

boom

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

Based ont he the function y = - 2x + 5 + 2x - 5 is given ,

if  x < -2.5, y = 0

i f  x > 2.5, y = 0

if -2.5 ≤  x  ≤ 2.5 = 0

Without the absolute value symbols

y = -2x + 5 + 2x - 5

Where x < - 2.5

y = -2 (-2.5) + 5 + 2 (-2.5 ) - 5

y =  5 + 5 + (-5)-5

y = 0

Where x > 2.5

y = -2 (2.5) + 5 + 2(2.5) - 5

y = 0

Where -2.5 ≤ x ≤ 2.5

y = -2x + 5 + 2x -5

grouping like terms we have

-2x + 2x +5 -5
y = 0

thus, Where -2.5 ≤ x ≤ 2.5

y = 0

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Answer:

\(9 + \frac{n}{3} - 6 = 7\)

Step-by-step explanation:

Given

\(9 + \frac{n}{3} - 6\)

Required

Evaluate when n = 12

Substitute 12 for n in \(9 + \frac{n}{3} - 6\)

\(9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6\)

Simplify the fraction

\(9 + \frac{n}{3} - 6 = 9 + 4 - 6\)

\(9 + \frac{n}{3} - 6 = 7\)

Your answer is 7,

Known:n=12

So 12/3

First, we need to simplify 12/3

To simplify this, all we need to do is divide 12 by 3

12÷3=4

3 goes into 12 4 times.

So now our eqation is

9+4-6

9+4 is 13

13-6 is 7

Hope this helps

~`Learning with Natalia`~

Recall the sum identity for cosine:

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1   ⇒   cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1   ⇒   sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

Answer:$40.00 :) hope this helps you

Step-by-step explanation:

The volume of Eli's trophy case is 64.4 cubic feet.

Eli's trophy case's length, breadth, and height must be multiplied to determine its volume. The case has the following measurements:

Length = 4 3/5 feet

Width = 2 feet

Height = 3 1/2 feet

We can sum the improper fractions after converting the mixed integers to fractions to arrive at:

Length = 4 3/5 feet = (5*4 + 3)/5 = 23/5 feet

Height = 3 1/2 feet = (2*3 + 1)/2 = 7/2 feet

Now that we have the volume, we can multiply the length, width, and height:

Volume equals length, width, and height

= (23/5) feet x 2 feet x (7/2) feet

= (23 x 2 x 7)/(5 x 2) cubic feet

= (644/10) cubic feet

= 64.4 cubic feet

Eli's trophy case therefore has a 64.4 cubic foot volume.

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A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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The sample can be 25% of the workers of the company and 50% of the retirees.

Sampling is the practice of selecting a small group of individuals (a statistical sample) from a statistical population in order to make an educated guess about the characteristics of the full population.

Now of the given options sample can only be selected from the groups that directly affect the president of the company.

Therefore the options will be :

25% of the workers at the company

50% of the retirees from the company

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Answer:

The answer is p= -7/2

Step-by-step explanation:

Move all terms not containing  p  to the right side of the equation.

Hoped this helped!

brainly, please?

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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The line or points has a slope value of -1

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

The slope of -3 up to positive 3

For a start, we represent the above parameters using an ordered pair

The ordered pair is represented as

(x, y) = (-3, 3)

The slope of the point is then calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 3) and (0, 0)

The coordinate (0, 0) represents the origin

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(-3 - 0)

Evaluate the difference

So, we have the following equation

Slope = (3)/(-3)

Evaluate the quotient

So, we have the following equation

Slope = -1

Hence, the slope is -1

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Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

Answer:

The Answer should be Quadrant III

Step-by-step explanation:

Hope this helped!