Which of the following is equivalent to √?
O
2
√2
O 2√2
2+√√√2

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

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[tex]\huge\purple{Hi!}[/tex]

Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.

Let's check

Remove root over and simplify 1+cot²Ø

Putting root over

Sin can be found also along with csc

[tex]\mathbf{\frac{23}{90}}[/tex] fraction of all shapes are circles.

Given that the ratio of the number of white shapes to black shapes is 7:3

Let the number of white shapes be [tex]7n[/tex]

Then the number of black shapes be [tex]3n[/tex]

So total number of shapes [tex]=7n+3n=10n[/tex]

Now ratio of white circles to white squares is 2:7

So the fraction of circles to all white shapes [tex]=\frac{2}{2+7}=\frac{2}{9}[/tex]

Hence the number of white circles [tex]=\frac{2}{9}\times7n=\frac{14n}{9}[/tex]

Again given that the ratio of black circles to the number of black sqaures is 1:2

So the fraction of circles in all black shapes [tex]=\frac{1}{1+2}=\frac{1}{3}[/tex]

The number of black circles [tex]=\frac{1}{3}\times3n=n[/tex]

Total number of circles [tex]=\frac{14n}{9}+n=\frac{14n+9n}{9}=\frac{23n}{9}[/tex]

The fraction of all shapes are circle is [tex]=\frac{\frac{23n}{9}}{10n}=\frac{23n}{90n}=\frac{23}{90}[/tex]

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Answer:

C- Yes, because it pases the vertical line test.

Step-by-step explanation:

It passes through one point exactly.

Answer:

the distance between points M and P

Step-by-step explanation:

i did it

Answer:

1.1, 1.2, 1.3, 1.4, 1.5     or        11/10, 12/10, 13/10, 14/10, 15/10

Explanation:

Rational numbers can be expressed as fractions (p/q), decimals, whole numbers, natural numbers, integers.

Some rational numbers between 1 and 2 are: -

1.05, 1.1, 1.15, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.95, 1.97

Five rational numbers are

The confidence interval is  0.028, 0.872

862 of 1013 randomly selected adults  wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is [tex]z_{0.025} = 1.96[/tex]

The 95% confidence interval for proportion is

[tex]\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)[/tex]

[tex]= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)[/tex]

[tex]= 0.85 +/- 0.022[/tex]

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

[tex]n * \widehat p = 1013 * 0.85 = 861 > 10[/tex]

[tex]n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10[/tex]

As the sample size is larger, we can use an approximate formula for the standard error.

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Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two lines cross at a single point, a linear pair of angles is generated. If the angles are next to each other after the two lines intersect, they are considered to be linear pairs. The total of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.

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Answer:

Mean score for the class B is 66.66

Step-by-step explanation:

Mean : It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.

Mean = sum of all numbers/ total numbers

Given,

mean score of class A = 34.

mean score of both the classes = 55

mean score of class a = sum of marks/total strength of class

                              34   = sum of marks/10

                             340 = sum of marks of class A

similarly,  Mean score of both classes

= ( sum of marks of class A and class B)/(total students in both classes)

= (340 + sum of marks of class B)/ 28  

55 =  (340 + sum of marks of class B)/ 28  

55 × 28 =  (340 + sum of marks of class B)

1540 - 340 = sum of marks of students of class B    

     1200    =  sum of marks of students of class B  

now to find Mean score of class B

sum of marks of students of class B / total students in class B

1200/18 = 66.66 answer  

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An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

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Answer:

V = 302

Step-by-step explanation:

Here, we have Radius(r)=4and Height(h)=18(Given)

l^2=r^2+h^2

l^2=42+182

l^2=340

l=18

Volume=  πr2h/3

=  3.14159⋅42⋅18/3

= 302

Answer:

301.59289

Step-by-step explanation:

radius(r) = 4

height (h) = 18

we know,

volume of cone =

[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]

[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]

=301.59289

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

Area = 30 + 9

Area = 39 square meters

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Answer:

a = 2

b = -3

c = -2

Step-by-step explanation:

The standard form of a quadratic equation:

ax² + bx + c = 0

…………………………

in order to determine the equation

in standard form ,we have to expand the given expression :

(2x + 1)(x - 2) = 2x² - 4x + x - 2

                     = 2x² - (4x - x) - 2

                     = 2x² - 3x - 2

Then the standard form is :

2x² - 3x - 2

The value of x is 60

The complete question is added as an image

From the image, we have:

ABD = 30

DBC = x

The sum of complementary angles is 90.

So, we have:

30 + x = 90

Subtract 30 from both sides

x = 60

Hence, the value of x is 60

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Domain is the set of values for which the given function is defined. The correct option is A.

Domain is the set of values for which the given function is defined, therefore the are values that the function can take.

Range is the set of all values which the given function can produce an output.

Domain of a function is the range of the inputs which the function can take, therefore, the domain of the function shown in the mapping is,

x|x= -5, -3, 1, 2, 6}

Hence, the correct option is A.

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The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.

Functions are found all across mathematics and are required for the creation of complex relationships.

The function g(x) = x² is transformed to obtain function h:

h(x) = g(x) − 5

h(x) = x² − 5

The graph h(x) get shifted downward by 5 units.

Then the correct option is C.

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The measure of apothem is 1.75 cm.

The complete question is

The area of the regular octagon is 10.15 cm2.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

A polygon with eight sides , eight angles and eight vertices is called an octagon.

If a is the Side of the octagon.

10.15 = 2(1+√2) a²

a² = 10.15 / [2×(1+1.414)]

a² = 2.10

a = 1.45 cm

Therefore the side = 1.45 cm

A = 8 × (a × h)/2

If we consider  8 equilateral triangles with

a = face of octagon

h = Apothem of octagon

10.15 = 8 × (1.45 × h)/2

h = 10.15 /4/ 1.45

h = 1.75  cm

Therefore the measure of apothem is 1.75 cm.

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The new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

The correct question is

Shape R is reflected in x axis and is translated by (-3, 0) , What will be the coordinates of the new figure

The figure is attached with the answer.

When  a figure is reflected along any axis , the coordinate of the axis on which it is reflected remains the same while the other coordinate vis the additive inverse of the given coordinate

It is given that the coordinate point of R

(-2 ,-2) , (-2,-5) (-4,-3) (-4,-5)

When it is reflected along x axis the new coordinates are

(-2 , 2), (-2,5) (-4,3) (-4,5)

and when translated by -3,0

(-5,2), (-5,5) (-7,3) (-7,5)

Therefore the new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)

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Answer:

  256,000

Step-by-step explanation:

If the culture doubles in size every 30 minutes, it doubles 2 times per hour. In 4 hours it will have doubled 2×4 = 8 times. Each doubling multiplies the number by 2, so 8 doublings will multiply the number by 2^8.

The population will be ...

  1000×2^8 = 256,000 . . . bacteria present after 4 hours

Step-by-step explanation:

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Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

Answer:

B or 40.67mph

Step-by-step explanation:

To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .

The 9th percentile of the bill amounts is 81.0634.

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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Answer:

3rd answer

Step-by-step explanation:

Pay attention to the arcs,  minor arcs are less than 180 degrees

It took 3 days to complete a work by 10 people.

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

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Answer:

12 is the answers for the question

Step-by-step explanation:

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[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]

Solution :{-12,12} so it's D

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