Find the approximate distance between the points A (2,-1) and B(-4,5)

Answer:

b. [tex]y = -0.03x + 18.4[/tex]

explanation:

is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.

Answer:

Irrational

Step-by-step explanation:

[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational

So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational

(adding an irrational number to anything gives an irrational number)

The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]

Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.

Hence, the formula is  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].

To learn more about bayes rule refer here

https://brainly.com/question/27979497

#SPJ4

Your question is incomplete , here is the complete question

In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?

[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]

Answer:

x = 0.47

Step-by-step explanation:

[tex] {7}^{(1 - x)} = {2}^{(1 + x)} \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_{7}(7)^{(1 - x)} = log_{7}(2)^{(1 + x)} \\ (1 - x) log_{7}(7) = (1 + x) log_{7}(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = \frac{0.64}{1.36} \\ x = 0.47[/tex]

Answer:x-25=y

Step-by-step explanation:

u just subtract and put it into equation form

All symmetry, reflexivity, and transitivity are required for an equivalence relationship.

In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.

To have an equivlance relationship, three requirement are needed:

Learn more about symmetry in: https://brainly.com/question/1597409

#SPJ1

Answer:

Two-thirds

Step-by-step explanation:

slope is

∆y/∆x = (y2-y1) divided by (x2-x1)

= (-8-(-6)) divided by (-6-(-3))

= -2 divided by -3

= 2/3

Step-by-step explanation:

A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?

equation:

100 = 2w - 26

solving:

100 = 2w - 26

74 = 2w

w = 37 more bottles

Answer:

Step-by-step explanation:

The answer is (3,0)

You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.

If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true

steps

-2(3) +3 = -3

And if you plug (3,0) into the second inequality y < x-2 you get 0 <  1 which is also true

So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.

It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.

Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.

Plugging in the values we have:

d² = 60² + 80² + 100²

Solving for d, we get:

d = √(660² + 80² + 100²)

= √(3600 + 6400 + 10000)

= √(20000)

= 140.4 cm

Thus, the length of the interior diagonal of the box is 140.4 cm.

Learn more about interior diagonal:
https://brainly.com/question/12947624
#SPJ1

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.

The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.

Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.

Since the DOC system uses free text, the EHR's data is structured.

Therefore,

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

To learn more about Electronic system visit :

brainly.com/question/13245035

#SPJ4

Answer:

Equation of line A: y = 4

Equation of line B: x = 8

Step-by-step explanation:

I am not sure how to explain this but those are your answer.

Answer: range is 4.

Step-by-step explanation:

highest apples: 6 at springfield.

lowest apples: 2 at charleston.

subtract.

6-2=4.

Answer:

Solve for X: -3x + 5y=13 is x=5/3y + −13/3

(Solve for y: 3/5x + 13/5)

Solve for X: x+4y=-10 is x= −4y−10

(solve for y: y= −1/4x + −5/2)

Step-by-step explanation:

Solve for X in  -3x + 5y=13:

Step 1: Add -5y to both sides.

−3x+5y+−5y=13+−5y

−3x=−5y+13

Step 2: Divide both sides by -3.

−3x/−3 = −5y + 13/−3

x = 5/3y + −13/3

Solve for Y in -3x + 5y=13:

Step 1: Add 3x to both sides.

−3x + 5y + 3x = 13 + 3x

5y = 3x + 13

Step 2: Divide both sides by 5.

5y/5 = 3x + 13/5

y = 3/5x + 13/5

Solve for X in  x+4y=-10:

Step 1: Add -4y to both sides.

x + 4y + −4y = −10 + −4y

x = −4y −10

Solve for Y in x+4y=-10:

x+4y=−10

Step 1: Add -x to both sides.

x + 4y+ −x = −10 + −x

4y=−x−10

Step 2: Divide both sides by 4.

4y/4 = −x − 10/4

y = −1/4x + −

By rounding to 1 significant figure, estimate answer is 40

What is significant figures?

Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.

Main  body:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

40.73 = 42

1.06 = 1.1

Rounding to 3 significant figures:

40.73 = 40.7

1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

40.73 = 40.73 (already in 4 significant figures)

1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.

Hence , By rounding to 1 significant figure, estimate answer is 40.

to know more about significant figures , visit:

https://brainly.com/question/30169

#SPJ1

The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

Given are the expressions as shown in the image attached.

Let us check the expressions for an equivalent value of 15.

Expression [1] :

4(2y - 4x) - 1

4(2 x 3 - 4 x 1/2) - 1

4(6 - 2) - 1

4 x 4 - 1

16 - 1

15

Expression [2] :

4(x² + 1) + 2x + 3y

4(1/4 + 1) + 2 x (1/2) + 3 x 3

4(5/4) + 1 + 9

5 + 10

15

Expression [3] :

xy + 3[tex]\frac{1}{2}[/tex] + 20x

1/2 x 3 + 7/2 + 20 x 1/2

3/2 + 7/2 + 10

1.5 +  3.5 + 10

15

Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are

To solve more questions on functions and expressions, visit the link -

brainly.com/question/17421223

#SPJ1

Solve the inequality. v - (-5) < -9 the solution for the inequality is

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

The given algebraic expression is v - (-5) < -9

This is solved as follows

v - (-5) < -9

v + 5 < -9

v < -9 - 5

v < -14

The value of v is -14

Learn more on inequality at:

https://brainly.com/question/24372553

#SPJ1

The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.

When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.

Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,

0.7, −0.2, 2.2, −2.3

-2.3 > -0.2 > 0.7 > 2.2

Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.

To know more about ascending order follow

https://brainly.com/question/12783355

#SPJ1

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.

That if one angle measures 130°, the measure of its vertical angle must also be 130°.

If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.

We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.

Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.

Therefore, the value of k is 9.

To learn more about Vertical angles refer :

https://brainly.com/question/12162963

#SPJ1

Answer:

just use the number line

-3<x<4

and

x<3

The approximate value of [tex]log_4128[/tex] is 3.5.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.

Given: log 128≈ 2.1  and  log 4≈ 0.6

We have to find the approximate value of [tex]log_4128[/tex].

We know that,

[tex]log_ba = \frac{loga}{logb}[/tex]

Here,

[tex]log_4128 = \frac{log128}{log4}[/tex]

Plug the values of log 128 and log 4

⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]

Hence, the approximate value of [tex]log_4128[/tex] is 3.5.

To know more about logarithm, click on the link

https://brainly.com/question/25710806

#SPJ1

The number of unique combinations of books Dwight could bring with him is 168

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

Science fiction = 3

Business ethics = 8

Beet farming = 7

The number of unique combination of books is then calculated as

Number of unique combinations = Science fiction * Business ethics * Beet farming

Substitute the known values in the above equation, so, we have the following representation

Number of unique combinations = 3 * 8 * 7

Evaluate the products

Number of unique combinations = 168

Hence, the number of unique combinations is 168

Read more about combination at

https://brainly.com/question/11732255

#SPJ1

Answer:

x = -522 19/30

Step-by-step explanation:

To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.

For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct

The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,

A washer-dryer set has an average lifetime of 10ten years

But given the function

C(n) = (1250 + 100(n))/n,

even after 5000 years, the washer-dryer set will still be above $100 as shown below

[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]

C(5000)=100.0025

b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.

To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.

For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.

Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.

The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.

c)  The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by

C(10) = (1250 + 100*10)/10

C(10)=225

But

= 225 + 100 (10)

=225000

Therefore, the annual cost after 10 years is $225000, not $225.

Hence given this none of the Options are correct

Read more about annual expenditure

https://brainly.com/question/4611544

#SPJ1

CQ

A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.

The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.

Which of the following statement(s) about the function is true?

I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.

II. The asymptotes of the function are at x = –12.5 and y = 100.

III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.

F I only

G I and II only

H I and III only

J I, II, and III

Answer:

m∠ x is 130° and m∠ y is 130°

Step-by-step explanation:

Based on the drawn example I gave would explain why

So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent

Thus making ∠AGH or m∠ x equals 130°

Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell

Thus making ∠DHG or m∠ y equals 130°

Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also

Answer:

64 possible outcomes

Step-by-step explanation:

Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.

Answer: 259.2

Step-by-step explanation:

If you take the 324 seniors and divide it by 5 then multiply by four

A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.

The required details for pounds in given paragraph

This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.

B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.

C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.

what is pound?

A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.

To learn more about pounds click here

https://brainly.com/question/28764202

#SPJ1