What is the best estimate ???

4.  The length of the segment is 33 units

5.  The length of the segment is 4 units.

6. The length of the segment is 4.3 units.

7. The length of the segment is 29 units.

A segment is a part of a line that is bounded by two distinct endpoints. A segment is named by its endpoints, and it includes those endpoints and all the points on the line between them.

4. The length of the segment with endpoints (-12, 4) and (21, 4) is:

\(d = \sqrt((21 - (-12))^2 + (4 - 4)^2)\)

\(= \sqrt(33^2)\)

= 33

Therefore, the length of the segment is 33 units.

5. The length of the segment with endpoints (-6, 9) and (-6, 13) is:

\(d = \sqrt((-6 - (-6))^2 + (13 - 9)^2)\\= \sqrt(0^2 + 4^2)\\= 4\)

Therefore, the length of the segment is 4 units.

6. The length of the segment with endpoints (17.1, 3) and (21.4, 3) is:

\(d = \sqrt((21.4 - 17.1)^2 + (3 - 3)^2)\\= \sqrt(4.3^2 + 0^2)\\= 4.3\)

Therefore, the length of the segment is 4.3 units.

7. The length of the segment with endpoints (-3, -12.5) and (-3, 16.5) is:

\(d = \sqrt((-3 - (-3))^2 + (16.5 - (-12.5))^2)\\= \sqrt(0^2 + 29^2)\\= 29\)

Therefore, the length of the segment is 29 units.

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The length of the segments given end points are

4. The length of the segment is 33 units

5.  The length of the segment is 4 units.

6. The length of the segment is 4.3 units.

7. The length of the segment is 29 units.

What is segment?

A segment is a part of a line that is bounded by two distinct endpoints. A segment is named by its endpoints, and it includes those endpoints and all the points on the line between them.

4. The length of the segment with endpoints (-12, 4) and (21, 4) is

d = \(\sqrt{(21-(-12))^2+(4-4)^2\)

=> d = \(\sqrt{33^2}\)

= > d 33

Therefore, the length of the segment is 33 units.

5. The length of the segment with endpoints (-6, 9) and (-6, 13) is:

d = \(\sqrt{(-6-(-6))^2+(13-9)^2\)

=> d = \(\sqrt{4^2}\)

=> d = 4

Therefore, the length of the segment is 4 units.

6. The length of the segment with endpoints (17.1, 3) and (21.4, 3) is:

d = \(\sqrt{(21.4-17.1)^2-(3-3)^2\)

=> d = \(\sqrt{4.3^2}\)

=> d = 4.3

Therefore, the length of the segment is 4.3 units.

7. The length of the segment with endpoints (-3, -12.5) and (-3, 16.5) is:

d = \(\sqrt{(-3-(-3))^2+(16.5-(-12.5))^2\)

=> d = \(\sqrt{29^2}\)

=> d = 29

Therefore, the length of the segment is 29 units.

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Answer:

\(\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}\)

Step-by-step explanation:

\(f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5\)

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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Answer:

Step-by-step explanation:

Part A;

\(\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0\)

Part B ;

\(1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m\)

The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)

Answer:

1.2675 × 10^37. 

Step-by-step explanation:

you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37

Hope it helps!

Answer:20 times

Step-by-step explanation:

Answer:

C) Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

You have to go 5 steps back to the left of 3 to get to -2.

See attached drawing for visual assistance on this problem:

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

is -6x to the 33'd power tims 3 - 1.       3−2x33(3)−1

Step-by-step explanation:

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

The equation of the major axis of y = 1 / x would be y = x and y = -x.

The equation y = 1/x constitutes a rectangular hyperbola. Not like ellipses possessing broadly characterized principal axes, no finite line exists representing the major axis of the given hyperbola.

This is due to the symmetrical relationship around both x- and y-axes where its core remains positioned at (0, 0). In place of a definite line, the asymptotes operate in replaceable fashion, defined as the lines y = x and y = -x, which are values approached at near limit by this specific hyperbola yet never collided with.

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Answer:

0.00067969413

Step-by-step explanation:

The solution to the given decimal division is calculated as: 141.725

To divide decimals, we need to convert both numbers to a simple unit and divide to get:

0.4 divided by 588.5

We know that 0.4  can be written as:

0.4  = 4 * 10⁻¹

588.5 can be written as:

588.5 = 5885 * 10⁻¹

Thus, we have:

(5885 * 10⁻¹)/(4 * 10⁻¹)

= (5885/4) * (10⁻¹/10⁻¹)

= 141.725

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The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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The first step in factoring the expression is to look for any common factors that can be pulled out. The expression can be rewritten as 8(3x - 7y + 9). This is the factored form of the original expression, where the GCF, 8, is pulled out as a common factor.

Part B:

To factor the expression 24x - 56y + 72, the first step is to look for any common factors. In this case, we can factor out the greatest common factor (GCF), which is 8, resulting in the expression 8(3x - 7y + 9).

To factor the expression 24x - 56y + 72, we start by looking for any common factors. In this case, we notice that all the coefficients (24, -56, and 72) have a common factor of 8. We can factor out this GCF by dividing each term by 8. Doing so, we have:

24x ÷ 8 = 3x

-56y ÷ 8 = -7y

72 ÷ 8 = 9

Thus, the expression can be rewritten as 8(3x - 7y + 9). This is the factored form of the original expression, where the GCF, 8, is pulled out as a common factor.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

\(~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}\)

\(x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}\)

mind you that it has two complex roots, or imaginary values.

Answer:

Y=.833x-2

Step-by-step explanation:

correct y intercept and rise over run  gives you the slope.

Answer:  C

Step-by-step explanation:

f(x) = .75x

For first:

Use x₀ = 5

f(x) = .75(5)

= 3.75

Second iterate:

Use previous answer:

f(x) = .75(3.75)

=2.8125

Third iterate:

Use Second answer:

f(x) = .75(2.8125)

=2.9109375

Answer:

Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.

Step-by-step explanation:

hope this helps you :)

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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Answer: the first one and the third one

Step-by-step explanation:

The prime polynomials from the polynomials are:

1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.

Options 1 and 3 are the correct answer.

We have,

A prime polynomial is a polynomial that cannot be factored into a product of two polynomials with integer coefficients.

Let's check each expression to see if it is a prime polynomial:

\(x^4\) + 3y²x - 1:

This expression cannot be factored further, so it is a prime polynomial.

9y + 4y² + 12y³:

This expression can be factored as y(9 + 4y + 12y²), so it is not a prime polynomial.

x² - 9x + 3:

This expression cannot be factored further, so it is a prime polynomial.

x² - 3x - 10:

This expression can be factored as (x - 5)(x + 2), so it is not a prime polynomial.

x³ - 512y³:

This expression can be factored as (x - 8y)(x² + 8xy + 64y²), so it is not a prime polynomial.

Thus,

The prime polynomials are:

1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.

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Answer:

7.75

Fraction it is 7 3/4

Not sure what you need!

Also that is rounded, let me know if you need the unrounded version.

Answer:

\(2\sqrt{15}\)

Step-by-step explanation:

\(\sqrt{3}*\sqrt{20} = \sqrt{60} \\\\\sqrt{60} =\sqrt{15*4} = 2\sqrt{15} \\\\\)

Hope this Helps!!

Answer:f(4)=−2f(3)=(−2)∗(+640)=−1280

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

\(\frac{2}{5}\) a - 15 = \(\frac{1}{5}\) a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = \(\frac{1}{5}\) × 50 - 5 = 10 - 5 = 5

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer:Look at the 2nd significant digit that the number has.

In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.

if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;

if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.

Step-by-step explanation:

8726 rounds up to 9000, because the 2nd significant digit is a 7.

73.283 rounds down to 70 because the 2nd significant digit is a 3.

152 rounds up to 200 because the 2nd significant digit is a 5.

0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.

0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.

Answer

98.¯498%

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

4xy+ x+ 2xy

Combine like terms which are 4xy and 2xy

6xy+x

Answer:

6xy + x

Step-by-step explanation:

This is the answer because:

1) First, look at all the combine terms

Combine Terms: 4xy and 2xy

2) Since we have a + sign, we have to add 4xy + 2xy which equals 6xy

3) Finally, we are left with 6xy + x

Therefore, the answer is 6xy + x

Hope this helps! :D

Answer:

That sounds like an awesome book idea; then you go on to explain the adventures in the library.

Step-by-step explanation:

Answer:

What are the codes....or are you just putting that out there?

Step-by-step explanation: