BC =using the Distance Formula



A. 5


B. 7


C. 11


Don’t choose randomly or write “just doing this for points” cause its annoying and I’m having an exam.

Answer:

The length of the insect is \(0.005\) millimeter

Step-by-step explanation:

The size of the insect is \(\frac{1}{200}\) part of a millimeter

\(\frac{1}{200} = 0.005\) millimeter

The length of the insect is \(0.005\) millimeter

Answer:

x=10

Step-by-step explanation:

Answer:

255 minutes

Step-by-step explanation:

Answer:

£64.4

Step-by-step explanation:

"T-shirts are buy 1 get 1 free"

Therefore if you buy 3 T-shirts, you would get the other 3 free So really you are only paying for 3 T-shirts if you want to get 6.

£5.20(3) =  £15.6

"Jumpers are buy 3 for 2"

So you buy three for the price of 2.

3/2 = 5/x,

x = 3.33

We round this up to 4 and solve for the total cost of the jumpers.

12.2(4) = £48.8

Total:

15.6 + 48.8 =  £64.4

Answer: 30,000,000

Step-by-step explanation: 30 Million.

Simply multiply 10,000 by 3,000.

The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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The extent to which an instrument is consistent within itself is called reliability.

Reliability refers to the consistency or stability of the measurements obtained using a specific instrument or test. In other words, it is the degree to which a tool or instrument measures the same way each time it is used under the same conditions. If an instrument is reliable, it produces consistent results across repeated trials or measurements.

Reliability is an important aspect of measurement because it determines the accuracy of the results obtained using the instrument. An unreliable instrument can produce inconsistent or inaccurate results, which can lead to erroneous conclusions or decisions.

Therefore, it is crucial to establish the reliability of an instrument before using it to make important decisions or draw conclusions based on the measurements obtained. There are several methods for measuring reliability, including test-retest reliability, inter-rater reliability, and internal consistency reliability.

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Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

Answer:

9.746794345

Step-by-step explanation:

The equation to determine text messages Megan sent is t/5 = 15

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Leah sent one-fifth of the amount of text messages sent by Megan.

let the number of Text messages Megan sent be t.

So, the number of Text messages Leah sent

1/5 (t)= 15

t/5 = 15

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Answer:

Step-by-step explanation:

In order to find a hole, you have to factor the denominator to see if it matches an expression in the numerator and can therefore be crossed out.

The factored form of the denominator is shown below:

\(f(x)=\frac{x-1}{(x-3)(x-1)}\)

Because the term x-1 is in both the numerator and the denominator, it is a hole, or removeable discontinuity. To find the hole, we plug in a 1 to the fraction that remains after we cancel the hole:

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

The hole is found at (1, -1/2)

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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the probability is 0.00539 for the household whose income is excess of $50000.

the ratio of favorable outcome to total possible outcome.

the ratio of the size of random sample to the actual size.

Given, sample proportion p∧ ≥0.22

size of random sample, p= 750

now, size of household, n = p/p∧ =750/0.22= 3409

number of households shown in census= 18.4%

now the probability = number of favorable outcome/ total possible outcome.

probability of gaining income excess of $50000 is 18.4/3409 = 0.00539

hence, 0.00539 is the proportion whose income is excess .

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The solution to the equation 30 + q = 43 is q = 13.

Given the equation in the question:

30 + q = 43

To determine the value of q in the equation 30 + q = 43, isolate q on one side of the equation by performing the same operation on both sides of the equation.

30 + q = 43

q + 30 = 43

Next, we can isolate q by subtracting 30 from both sides of the equation:

q + 30 - 30 = 43 - 30

q = 43 - 30

Subtract 30 from 43

q = 13

Therefore, the value of q is 13.

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Answer:

31/100

Step-by-step explanation:

0.310=0.31

Since the number ends in the hundredths place as a fraction it would be 31/100

Hope this helps! :)

Answer:

31/100

Step-by-step explanation:

Use desmos

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

Based on the given scale of 1.5 inches to 2 miles on the map, an ant's 8-inch walk in Apollo Beach corresponds to a distance of 10.67 miles for a real person.

To determine the distance a real person would walk in Apollo Beach, we can use the given scale of 1.5 inches to 2 miles on the map. Since the ant walked 8 inches on the map, we need to calculate the equivalent distance in miles.

First, we can set up a proportion to find the conversion factor:

1.5 inches / 2 miles = 8 inches / x miles

To solve for x, we can cross-multiply:

1.5 inches * x miles = 2 miles * 8 inches

Simplifying the equation, we have:

1.5x = 16

Dividing both sides by 1.5, we find:

x ≈ 10.67 miles

Therefore, a real person would walk approximately 10.67 miles in Apollo Beach.

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Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

The distributive property to create an equivalent expression (3 – 8y). (-2. 5) =  -7.5 + 20y.

The distributive property states that when a value is multiplied by the sum of two values, the value can be distributed among the two values. Applying this to the expression, (3 - 8y). (-2. 5), we can use the following formula:

(a - b).c = ac - bc

Using this formula, we can calculate the expression as follows:

(3 - 8y).(-2. 5) = (3).(-2. 5) - (8y).(-2. 5)

= -7.5 - (-20y)

= -7.5 + 20y

Therefore, the equivalent expression is -7.5 + 20y.

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Shawn's first statement is correct. A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles and opposite sides of equal length. It is not possible to draw a trapezoid that is a rectangle, because the two shapes have different sets of properties.

However, Shawn's second statement is incorrect. A square is a type of rectangle in which all sides are of equal length. So, every square is a rectangle, but not every rectangle is a square. So it is not accurate to say that it is possible to draw a square that is a rectangle, because a square is already a type of rectangle.

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Answer:

40

Step-by-step explanation:

1. List all the multiples

10,20,30,40

8,16,24,32,40

Answer:

3.) (x,y)⇒(x+9,y-5)

6.) T'= (-4,5) U'= (1,-7) V'= (2,4) W'= ( 7,2) X'=( 5,-10) Y'=( 0,2) Z'= ( 8,-3)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

7. adjacent

8.vertical

9.vertical

10.neither

11.adjacent

12.neither

Hope this helps :)

The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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