Find the length of side AB.
Give your answer to 3 significant figures.

Answer:

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

Step-by-step explanation:

It passes through one point exactly.

The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts

We are given;

Current; I = 3 + 4j amps

Resistance; R = 4 - 6j ohms

From ohms law, we know that;

V = IR

Thus;

V = (3 + 4j) * (4 - 6j)

V = 12 + 16j - 18j - 24j²

Now, in vector notation; j² = -1. Thus;

V = 12 - 2j + 24

V = 36 - 2j Volts

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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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Answer:

-125 is the correct answer

Answer:

x = -125

Explanation:

[tex]\Longrightarrow \dfrac{1}{x} = (-5)^{-3}[/tex]

Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}[/tex]

Expand the power:

[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}[/tex]

Simplify the following:

[tex]\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}[/tex]

Flip the following:

[tex]\Longrightarrow x = -125[/tex]

Answer:

The measure of each interior angle of a regular decagon is 144 degrees.

Step-by-step explanation:

The measure of the interior angles of a decagon is 1440, due to the formula being (n-2)(180). Since a decagon is a ten sided shape, it would be (10-2)(180).

8 x 180= 1440.

Next, we divide the total by the number of the sides the polygon has—ten. 1440 divided by 10 is 144, so the measure of each interior angle is 144 degrees.

Answer:

12 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

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

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

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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:

6

Step-by-step explanation:

f(6) is the y-value when x = 6

From inspection of the graph, f(6) = -6

g(5) is the y-value when x = 5

From inspection of the graph, g(5) = -5

Substitute the found values into the given equation:

  4 · f(6) - 6 · g(5)

= 4 · (-6) - 6 · (-5)

= -24 - (-30)

= -24 + 30

= 6

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

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:

D is the answer for you.

Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,

Number of left-handed girls = (320×0.2) = 64

Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,

Number of left-handed boys= (250×0.1) = 25

Hence, the estimated number of left-handed persons in the school is 89.

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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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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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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:

$.46 or 46 cents per foot

Step-by-step explanation:

3 yards = 4.14

1 yard is 3 feet

3 yards is 9 feet

4.14 ÷ 9 = .46

The product of three and five-sevenths is given by (D) Fifteen sevenths.

In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.

The denominator for a whole number is always 1.

Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].

So here since 3 is a whole number then the denominator of it is 1.

We can write 3 as [tex]\frac{3}{1}[/tex].

So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]

Using the fraction model we get,

Here we can see that there are three bars with seven divisions in which fives are shaded.

So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.

here a total number of divisions in one bar is 7, so the denominator of the product is 7.

A total number of shaded divisions is 15, so the numerator of the product is 15.

So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.

Hence the correct option is (D) Fifteen sevenths.

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Answer:

34.3 square unit.

Step-by-step explanation:

[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]

Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of ∆DFG, here we will use heron's formula which is given by:

Area of ∆ = √[s(s – a) (s – b) (s – c)]

Here a, b, and c are sides of ∆. We have;

So firstly lets calculate a i.e DF by using Pythagoras theorem on ∆DEF:

➸ DF² = 8² + 6²

➸ DF² = (8 × 8) + (6 × 6)

➸ DF² = 64 + 36

➸ DF² = 100

➸ DF = √(100)

➸ DF = √(10 × 10)

➸ DF = 10 units

Now, lets calculate s i.e semi - perimeter:

Now, using heron's formula on ∆DFG to calculate its area:

➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]

➸ Area(∆DFG) = √[14(4) (7) (3)

➸ Area(∆DFG) = √(14 × 4 × 7 × 3)

We can write it as;

➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)

➸ Area(∆DFG) = 2 × 7√(2 × 3)

➸ Area(∆DFG) = 14√(6)

➸ Area(∆DFG) = 14 × 2.449

➸ Area(∆DFG) = 34.28

➸ Area(∆DFG) = 34.3 square units (approx)

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 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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Answer:

the distance between points M and P

Step-by-step explanation:

i did it

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:

option 2

Step-by-step explanation:

the chord- chord angle BFE is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ BFE = [tex]\frac{1}{2}[/tex] ( BE + DC) = [tex]\frac{1}{2}[/tex] (72 + 152)° = [tex]\frac{1}{2}[/tex] × 224° = 112°

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

The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

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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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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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