How can you make iot clear that a measured value of 980 inches actually has 3 significant figures?

Answers

Answer 1

The figure 980 inches can be written as 980.0 inches. It contains two non-zero digits and a zero trailing before the decimal point. Hence, it has three significant figures.

Rules to Determine Number of Significant Figures:

There are three fundamental rules that one can use to determine the significant figures in any given number or value. These rules go as follows:

Digits that are not zero are always counted among significant figures.Any zeros in the range of two significant digits are to be counted.The zeroes at the end of any number are significant unless they have been used after a decimal point.

For the portion followed by a decimal point, zeroes at the end are not counted, but zero between two non-zero digits and zero in the initial portion of the floating point are counted while taking note of the significant figures in a decimal value.

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Related Questions

Which statement is true about the value of Dante’s assets and liabilities?
He has $50,000 more in assets than in liabilities.
He has $50,000 more in liabilities than in assets.
He has $110,000 more in liabilities than in assets.
He has $160,000 more in assets than in liabilities.

Answers

Answer:  te correct answer is A

Step-by-step explanation:

He has $50,000 more in assets than in liabilities.

Answer:

1. He has $50,000 more in assets than in liabilities.

Step-by-step explanation:

Can anyone help me with this? I'm not very good at math... =.=

Answers

yes because it passes the horizonal line test
yes if horizal is mirrored

Identify the standard form of the equation by completing the square.
4x2 − 9y2 − 8x + 36y − 68 = 0

Answers

Answer:

[tex]\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1[/tex]

Step-by-step explanation:

Given equation:

[tex]4x^2-9y^2-8x+36y-68=0[/tex]

This is an equation for a horizontal hyperbola.

To complete the square for a hyperbola

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

[tex]\implies 4x^2-8x-9y^2+36y=68[/tex]

Factor out the coefficient of the x² term and the y² term.

[tex]\implies 4(x^2-2x)-9(y^2-4y)=68[/tex]

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

[tex]\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2[/tex]

[tex]\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36[/tex]

Factor the two perfect trinomials on the left side:

[tex]\implies 4(x-1)^2-9(y-2)^2=36[/tex]

Divide both sides by the number of the right side so the right side equals 1:

[tex]\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}[/tex]

Simplify:

[tex]\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1[/tex]

Therefore, this is the standard equation for a horizontal hyperbola with:

center = (1, 2)vertices = (-2, 2) and (4, 2)co-vertices = (1, 0) and (1, 4)[tex]\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}[/tex][tex]\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)[/tex]

The proportional relationship between the number of hours a business operates and its total
cost of electricity is shown in the following graph.
Total cost (dollars)
1604
140-
120-
100-
80-
60-
40+
20-
A
Cr.
3 4 5
Number of hours
S
7
89
Which statements about the graph are true?
10

Answers

The total cost of electricity when the business operates for 4 hours is correct.

Slope of a line

The slope of a line is also known as rate of change, The formula for calculating the slope of a line is expressed as:

Slope = y2-y1/x2-x1

If the proportional relationship between the number of hours a business operates and its total cost of electricity is shown in the following graph.

Using the coordinate points (1, 20) and (2, 40)


Determine the slope

Slope = 40-20/2-1
Slope = 20/1

Slope = 20

This shows that the total cost of electricity is $20 when operating business for 1 hour.

According to the coordinate point A (4, 120), this shows that the y-coordinate of point A is represents the total cost of electricity when the business operates for 4 hours.

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Jamie has 2 dimes, 4 nickels and 8 pennies. in how many different ways can she make 26 cents?

Answers

Answer:

(2 dimes + 6 pennies)

(4 nickels + 6 pennies)

(1 dime + 2 nickels + 6 pennies)

( 2 dimes + 1 nickels + 1 penny)

(1 dime + 3 nickels + 1 penny)

5 different ways that Jamie can make 26 cents.

Chestnut Hill Coffee Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 46 espressos in all, 26 of which were single-shot. What percentage of the espressos were double-shot? Round to the nearest hundredth.

Answers

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

What percentage of the espressos were double-shot?

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Total number of espressos sold or Whole = 46Number of single-shots or Part single = 26Number of double-shots or Part double = 46 - 26 = 20Percentage of double-shot = ?

Percentage = ( Part / Whole ) × 100%

Percentage = ( Part double / Whole ) × 100%

Percentage = ( 20 / 46 ) × 100%

Percentage = 0.43 × 100%

Percentage = 43.48%

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

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Building managers recently surveyed employees of three different companies regarding their method of transportation to work day. The results of the survey are shown in the two-way frequency table below.

Car Bus Walk Bike Subway Total
Tech company 10 16 14 38 20 98
Law firm 27 8 10 2 26 73
Finance group 18 22 12 8 34 94
Total 55 46 36 48 80 256

Which Conclusion can the building managers draw based on this data?

A: It is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.

B: Walking to work is more common among employees at the finance group than employees at the law firm.

C: The percentage of walkers who are employers at the law firm is the same as the percentage of car drivers who are employees at the tech company.

D: Riding to work is more common among tech company employees than at the other modes of transportation. ​

Answers

The conclusion that the building managers can draw based on the given data is; D: Riding to work is more common among tech company employees than at the other modes of transportation.

How to Interpret Data Tables?

The results of the survey are shown in the two-way frequency table below.

From the table we can see that;

Total Cars = 55

Total Number of Buses = 46

Total Number of Walks = 36

Total Number of Bikes = 48

Total Number of Subways = 80

Total Number of  Tech company = 98

Total Number of Law Firms = 73

Total Number of Finance Groups = 94

Option A; There are 16 people who use buses from the tech company while there are 26 people who use subway from the Law firm. Thus, the statement is false.

Option B; There are 12 people who walk to work  at the finance group while there are a total of 10 people who walk to work at the law firm. Thus the statement is false.

Option C; Percentage of walkers at law firm = 10/73 * 100% = 13.7%

Percentage of car drivers at the tech firm = 10/98 * 100% = 10.2%

Thus, the statement is false

Option D; This is true

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Answer:

It is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.

Step-by-step explanation:

got it right on edmentum

How do you construct a frequency distribution table using sturge’s approximation

Answers

The steps to use to construct a frequency distribution table using sturge’s approximation is as below.

How to construct a frequency distribution table?

The steps to construct a frequency distribution table using Sturge's approximation are as follows;

Step 1: Find the range of the data: This is simply finding the difference between the largest and the smallest values.

Step 2; Take a decision on the approximate number of classes in which the given data are to be grouped. The formula for this is;

K = 1 + 3.322logN

where;

K= Number of classes

logN = Logarithm of the total number of observations.

Step 3; Determine the approximate class interval size: This is obtained by dividing the range of data by the number of classes and is denoted by h class interval size

Step 4; Locate the starting point: The lower class limit should take care of the smallest value in the raw data.

Step 5; Identify the remaining class boundaries: When you have gotten the lowest class boundary, then you can add the class interval size to the lower class boundary to get the upper class boundary.

Step 6; Distribute the data into respective classes:

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factor the gratest common factor: -5k^2+20k-30

Answers

Answer:

±5

Step-by-step explanation:

-5k²+20k-30

if u look at the equation ±5 are the greatest common factors so we ±5(±k²±4k±6)

A town is mapped on a coordinate grid. The library is located at point (-3, 9) and the museum is located at
point (8, 2).
Where is the midpoint of the line segment whose endpoints are the library and the museum?
O (-5.5, 5.5)
O (-5.5, 3.5)
O (2.5, 3.5)
O (2.5, 5.5)

Answers

Applying the Midpoint Formula, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).

What is the Midpoint Formula?

To find the coordinates of the midpoint between two endpoints on a coordinate plane, the midpoint formula that is used is expressed as: M[(x2 + x1)/2, (y2 + y1)/2].

Given the following coordinates:

The library is located at point (-3, 9)

The museum is located at point (8, 2), therefore, let:

(-3, 9) = (x1, y1)

(8, 2) = (x2, y2)

Midpoint = M(x, y)

Substitute the values into M[(x2 + x1)/2, (y2 + y1)/2]:

M(x, y) = [(8 + (-3))/2, (2 + 9)/2]

M(x, y) = (5/2, 11/2)

M(x, y) = (2.5, 5.5)

Thus, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).

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Answer:

Its D (2.5, 5.5) On Edg 2022-23

Step-by-step explanation:

Hope This Helps:))

For an independent t-test, if the mean of group 1=10, mean of group 2=12, ss1 =5, ss2=8, there are 6 individuals per group. what is the value of t obtained?

Answers

The value of t obtained is 4.76

Given,

Mean of group 1, [tex]M_{1}[/tex] = 10

Mean of group 2, [tex]M_{2}[/tex] = 12

[tex]SS_{1}[/tex] = 5

[tex]SS_{2}[/tex] = 8

Number of individuals per group, n = 6

The degrees of freedom are calculated as:

[tex]df = (n_{1} -1)+(n_{2} -1)[/tex] = ( 8-1) + (8-1) = 7 + 7 = 14

The difference between sample means [tex]M_{d}[/tex] is:

[tex]M_{d}[/tex] = [tex]M_{1} -M_{2}[/tex] = 10 - 12 = 2

Here n is equal for both groups which is = 8

Now,

The standard deviation of sample 1 :

[tex]s_{1} =\sqrt{\frac{SS_{1} }{n_{1} -1} } = \sqrt{\frac{5}{8-1} } = \sqrt{\frac{5}{7} } = 0.85[/tex]

The standard deviation of sample 2 :

[tex]s_{2}= \sqrt{\frac{SS_{2} }{n_{2}-1 } } = \sqrt{\frac{8}{8-1} } = \sqrt{\frac{8}{7} } = 1.07[/tex]

Now, we have to calculate the standard error for the difference of the means.

MSE = [tex]\frac{(n_{1}-1)s^{2} _{1}+(n_{2}-1)s^{2} _{2} }{(n_{1}-1)+(n_{2}-1) }[/tex]

       = [tex]\frac{(8-1)(0.85^{2})+(8-1)(1.07^{2}) }{(8-1)+(8-1)}[/tex]

       = [tex]\frac{10.1318}{14}[/tex]

  MSE  = 0.7237

Then, the standard error can be calculated as:

[tex]s_{M_{d} } = \sqrt{\frac{2MSE}{n} } = \sqrt{\frac{2 * 0.7237}{8} } = 0.42[/tex]

Now we can calculate t :

[tex]t=\frac{M_{d} }{s_{M_{d} } } = \frac{2}{0.42} = 4.76[/tex]

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Dean's father, Franco, is 5 times his age. Dean is 8 years older than his sister, Helen. The sum of their ages is 62 years. How old is each person

Answers

Answer:

dean = 10

franco = 50

helen = 2

steps

you want to get the age of one of the people first

'is' means equal

'older than' means plus

'sum' means total by adding

d

f = 5d

d = 8 + h

d + f + h = 62

make sure there is 1 letter to solve for

d = 8 + h -> h = d - 8

f = 5d

d = d

d + f + h = 62

d + (5d) + (d-8)

7d - 8 = 62

7d = 70

d = 10

f = 50

h = 2

y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?

Answers

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

Linear equation

y = -6x + 2

-12x - 2y = -4

Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

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18 1 / 2 miles of highway 1-35 Is undergoing repairs. The construction workers repairs The construction workers repair 2 1⁄4 Miles of hideaway each week Approximately How many weeks will it take for the repairs to be completed

Answers

Answer:

The exact amount of time would be 8 2/9 weeks, but if we are only counting full weeks, it would be finished in 9 weeks.

Step-by-step explanation:

y = xm

18 1/2 = 2 1/4x  Change both numbers into improper fractions

18 1/2 would be 37/2  The denominator (bottom number) stays 2.  To get the top number you would (2 x 18) + 1 or 37.  That makes 37/2 equivalent to 18 1/2.

Now do the same thing to 2 1/4.  The bottom number stays the same.  We get the top number (4 x 2) + 1 or 9.  That makes 9/4 equivalent to 2 1/4.

We know have

37/2 = 9/4 x  We can solve for x by multiplying both sides of the equation by 4/9

37/2(4/9) = (9/4)(4/9)x

148/18 = x  If we divide both the top and the bottom by 2 we would get 74/9 = x  If we divide 74 by 9 we get 8 2/9

workout the value of (3.5x10⁶)÷(5x10-³) and show your workout.​

Answers

The value of the given expression is 7.0 × 10⁸

Simplifying an expression

From the question, we are to determine the value of the given expression

The given expression is

(3.5x10⁶)÷(5x10-³)

The expression can be simplified as follows

(3.5x10⁶)÷(5x10⁻³)

= (3.5 ÷ 5) × (10⁶ ÷ 10⁻³)

= (0.7) × (10⁶⁻⁽⁻³⁾)

= 0.7 × (10⁶⁺³)

= 0.7 × (10⁹)

= 7.0 × 10⁸

Hence, the value of the given expression is 7.0 × 10⁸

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A weaver bought a bundle of grass of 50.00 dollars from which he made 8 mats if each mats was sold for 15.00 dollars find the percentage profit

Answers

The percentage profit is 140%

What is percentage?

Percentage can be described as the expression of a number in hundredth.

The formula for calculating percentage profit is

profit/cost price × 100

cost price=  $50
selling price= $15
number of mats produced= 8

selling price of the mat= 15 × 8
= 120

Profit= selling price-cost price

= 120-50
$70

Therefore the percentage profit can be calculated as follows

= 70/50 × 100
= 1.4 ×100
= 140

Thus, the percentage profit is 140%


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HELP PLS WHAT IS X
Darn

Answers

Answer:

x = 55°

Step-by-step explanation:

x , 35° , 90° lie on a straight line and sum to 180° , that is

x + 35° + 90° = 180°

x + 125° = 180° ( subtract 125° from both sides )

x = 55°

7. [Decimal +,-]
16
9.74
+2 6.80

Answers

Answer:

169.74+26.80

= 196.54

the correct decimal answer is 196.54

OA=
Please help asap!! Thanks so much :))

Answers

In the given diagram, the value of the dashed side of rhombus OABC is 5

Distance between two points

From the question, we are to determine the length of the dashed line (OA), in rhombus OABC

In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).

Using the formula for calculating distance between two points,

d =√[(x₂-x₁)² + (y₂-y₁)²]

In the diagram,

The coordinate of the origin is (0, 0)

The coordinate of point A is (3, 4)

Thus,

x₁ = 0

x₂ = 3

y₁ = 0

y₂ = 4

Putting the parameters into the formula, we get

OA =√[(3-0)² + (4-0)²]

OA =√(3² + 4²)

OA =√(9+16)

∴ OA =√25

OA = 5

Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5

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I don’t understand what I did wrong

Answers

Step-by-step explanation:

You got your fraction messed up

It should be -3/2 or -1.5

Last week the value of an investment changed at a rate of -$3.15 each day. After How many days was the total change in value -$12.60?

Answers

In four days,the total change in value -$12.60.

According to the statement

we have given that the value of an investment changed at a rate of -$3.15 each day. And we have to find that the after how many days the change in value reaches at the -$12.60.

So, here we use division rule to find the solution.

The given change value is :

-$3.15 each day.

The desired change value is :

-$12.60.

Number of days required = -12.60 / -3.15

Number of days required = 12.60 / 3.15

Number of days required = 4 days.

So, in four days the change in value reaches at the desired value of change.

So, In four days,the total change in value -$12.60.

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In the circle below, if arc AB is congruent to arc CD, chord AB = 16x - 2 and chord CD = 14x + 8, find x.

Answers

Answer:

  d.  x = 5

Step-by-step explanation:

Chords that subtend congruent arcs are congruent.

Setup

Chord lengths are the same:

  AB = CD

  16x -2 = 14x +8

Solution

  2x = 10 . . . . . . add 2-14x

  x = 5 . . . . . . . . divide by 2

At which points on the curve y = 1 60x3 − 2x5 does the tangent line have the largest slope?

Answers

The tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

First, let's find the derivative of the given function y = 1 + 60x³ − 2x⁵ using the power rule for differentiation:

dy/dx = 0 + 3(60)x² - 5(2)x⁴

= 180x² - 10x⁴

To find the critical points, we set the derivative equal to zero and solve for x:

180x² - 10x⁴ = 0

Factoring out common terms, we get:

10x²(18 - x²) = 0

Setting each factor equal to zero, we have:

10x² = 0 or 18 - x² = 0

From the first equation, we find x = 0.

From the second equation, we have:

18 - x² = 0

x² = 18

Taking the square root, we get:

x = ±√18

= ±3√2

So the critical points are x = 0, x = 3√2, and x = -3√2.

Now we need to evaluate the slope at these critical points. We can do this by plugging each x-value into the derivative:

When x = 0:

dy/dx = 180(0)² - 10(0)⁴ = 0

When x = 3√2:

dy/dx = 180(3√2)² - 10(3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

When x = -3√2:

dy/dx = 180(-3√2)² - 10(-3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

The slope is 0 when x = 0 and 1080 when x = 3√2 or x = -3√2.

Therefore, the tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

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The complete question is as follows:

At which points on the curve y = 1 + 60x³ − 2x5⁵ does the tangent line have the largest slope?

If A c B and A N B= • then which of the following can be concluded about the sets A and B!

Answers

Step-by-step explanation:

Set A is a subset of set B if all the elements of A are also the elements of Set B.. (common element)

The above set have 0 common elements so.. if there is no common element and are subsets then it means that there arent any elements in both the sets

so, the answer for the question would be "both the Sets A and B are the empty sets"


Assume the four intersecting lines are parallel. In this figure, A = 36, B = 24, and C = 60 . If D = 33,
what are the measurements of E and F?

Answers

Using the proportionality theorem, the measurements are: c. E = 22 and F = 55.

What is the Proportionality Theorem?

If two transversals intersect three or more parallel lines, they divide the lines in such a way that the smaller segments are proportional to each other or have ratios that are equal to each other.

Given the following:

A = 36,

B = 24,

C = 60

D = 33.

Since all lines are parallel, then:

A/D = B/E = C/F

Find the measure of E using the ratio, A/D = B/E:

36/33 = 24/E

Cross multiply

E = (24 × 33)/36

E = 22

Find the measure of F using the ratio, A/D = C/F:

36/33 = 60/F

Cross multiply

F = (60 × 33)/36

F = 55

The answer is: c. E = 22 and F = 55.

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A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. the apothem of the hexagon is 2 centimeters. a cylinder is cut out of the middle of a hexagonal prism. the hexagon has an apothem with a length of 2 centimeters and base side lengths of 2.3 centimeters. the prism has a height of 2 centimeters. the cylinder has a diameter of 1.6 centimeters. the equation for the area of a regular hexagon = one-half (apothem) (perimeter). what is the volume of metal in the hex nut, to the nearest tenth? use 3.14 for π.

Answers

Subtracting the volume of the cylinder from the volume of the prism, the volume of metal in the hex nut to the nearest tenth exists [tex]$$23.6 cm^3[/tex]

How to estimate the volume of metal in the hex nut?

Diameter of the cylinder be d = 1.6 cm

Apothem of the hexagon be a = 2 cm

Thickness of the steel hex nut be t = 2 cm

Volume of the prism be [tex]V_p[/tex]

Volume of the cylinder be [tex]V_c[/tex]

Volume of metal in the hex nut,

[tex]$$V = V_p - V_c[/tex]

To estimate the volume of a prism,

[tex]$$V_p = A_b h[/tex]

Ab = n L a / 2

Number of the sides, n = 6

The side of the hexagon be L

Height of the prism, h = t = 2 cm

Central angle in the hexagon, A = 360°/n

A = 360°/6 = 60°

[tex]$tan (\frac{A}{2} )=(\frac{L/2}{a})[/tex]

simplifying the value of L, we get

[tex]$tan (\frac{60}{2} )=(\frac{L/2}{2})[/tex]

[tex]$tan 30}=(\frac{L/2}{2})[/tex]

[tex]$tan (\frac{\sqrt{3}}{3} )=(\frac{L/2}{2})[/tex]

Solving for L/2:

[tex]$\frac{2 \sqrt{3}}{3} =\frac{L}{2}[/tex]

Solving the value of L, we get

[tex]$2\frac{2 \sqrt{3}}{3} =L[/tex]

[tex]$\frac{4 \sqrt{3}}{3} =L[/tex]

[tex]$L=4 \sqrt{3}/3 cm[/tex]

Ab = n L a / 2

Substitute the values in the above equation, we get

[tex]$A_b=\frac{6 (4 \sqrt{3}/3)(2)}{2}[/tex]

[tex]$$A_b=24 \sqrt{3}/3 $$cm^2[/tex]

[tex]$A_b=8 \sqrt{3} cm^2[/tex]

[tex]V_p = A_b h[/tex]

substitute the values in the above equation, we get

[tex]$V_p=(8 \sqrt{3})(2)[/tex]

[tex]$V_p=16 \sqrt{3} cm^3[/tex]

[tex]$$V_p=16 (1.732) cm^3[/tex]

[tex]$$V_p=27.712 cm^3[/tex]

To estimate the volume of cylinder,

[tex]$V_c[/tex] = (π[tex]d^2[/tex]/4) h

Here, π = 3.14 and d = 1.6 cm

Height of the cylinder, h = t = 2 cm

substitute the values in the above equation, we get

[tex]$V_c=[3.14 (1.6) / 4] (2)[/tex]

[tex]$V_c=[3.14 (2.56) / 4] (2)[/tex]

[tex]$V_c=(2.0096) (2)[/tex]

[tex]$$V_c=4.019 cm^3[/tex]

Substitute the values in the equation, we get

[tex]$$V=V_p-V_c[/tex]

[tex]$$V=27.712 - 4.019[/tex]

[tex]$$V=23.693 cm^3[/tex]

[tex]$$V=23.6 cm^3[/tex]

Therefore, the volume of metal in the hex nut, to the nearest tenth exists [tex]$$23.6 cm^3[/tex].

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The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Answers

The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.

How to determine the vertex for each function is a minimum or a maximum?

Given:

[tex]$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$[/tex] and

[tex]$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$[/tex]

The generalized equation of a parabola in the vertex form exists

[tex]$y=a(x-h)^{2}+k[/tex]

Vertex of the function f(x) exists (1, 5).

Vertex of the function g(x) exists (-2, -3).

Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.

The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.

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Answer:

- For the function f(x) = -(x - 1)^2/5, the vertex is a maximum point.

- For the function g(x) = x^4 - 3, the vertex is a minimum point.

Step-by-step explanation:

To determine if the vertex for each function is a minimum or a maximum, we need to analyze the leading coefficient of each function.

Let's start with the function f(x) = -(x - 1)^2/5. This function is already in vertex form, where the vertex is (1, 0).

Since the leading coefficient is negative (-1/5), the graph of f(x) opens downward. In this case, the vertex is a maximum point. You can visualize it as a peak on a graph.

Now, let's move on to the function g(x) = (x^2)^2 - 3. This function can be rewritten in vertex form as g(x) = x^4 - 3.

The leading coefficient is positive (1), so the graph of g(x) opens upward. In this case, the vertex is a minimum point. You can visualize it as a valley on a graph.

In summary:

- For the function f(x) = -(x - 1)^2/5, the vertex is a maximum point.

- For the function g(x) = x^4 - 3, the vertex is a minimum point.

Remember, the sign of the leading coefficient determines whether the vertex is a minimum or maximum point.

Point D is located at 4. Point E is 6 less than Point D. Where is E located?​

Answers

Answer:

-2

Step-by-step explanation:

<________|____|___-2___|___0___|____|____|____4________>

                                    E                                                    D

The Point E is located at -2.

Given that Point D is located at 4. Point E is 6 less than Point D.

We need to find the location of the point E.

Based on the information provided, Point D is located at 4. Now, we know that Point E is 6 less than Point D.

When we say, "less than," it means we need to subtract the given value from Point D to find the location of Point E.

If Point D is located at 4, and Point E is 6 less than Point D, then the location of Point E can be calculated as follows:

E = D - 6

Since D is 4, we can substitute that value into the equation:

E = 4 - 6

E = -2

So, Point E is located at -2.

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solve the equation (39+5=5a=9)

Answers

Answer:

EVALUATE

false

Step-by-step explanation:

Complex number

(39+5=5a=9)

5107465
State the value of digit in figures ?

Answers

Place value of 5 in 5107465 is equal to 5,000,000.

According to the statement

we have given that the a value and we have find the place value of a digit 5 in this numbers.

So, For this purpose,

The given digit is 5107465

And we have find the value of digit 5 in it so,

we know that,

A Place value is the position or place of a digit in a given number .

As we can see that, in given number 5107465:-

5 is at one million place = 5 * 1,000,000 = 5,000,000

1 is at hundred thousand place = 1 * 100000 = 100000

0 is at ten thousand place = 0 * 10000 = 0

7 is at thousand place = 7 * 1000 = 7000

4 is at hundred place = 4 * 100 = 400

6 is at tens place = 6 * 10 = 60

5 is at unit place = 5 * 1 = 5

Therefore,

Place value of 5 in 5107465 is equal to 5,000,000.

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