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Answer:

x ≥ 4

Step-by-step explanation:

16x + 8 ≥ 12x + 20

Subtract 12 from both sides

4x + 8 ≥ 20

Subtract 8 from both sides

4x ≥ 16

Divide both sides by 4

x ≥ 4

The undefined term is point.

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

[tex]vertex[/tex]of the angle

[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.

Measure of an angle

An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.

As, the is defined on the basis of arms , vertices, measurement.

They all related to point and point doesn't have a particular definition.

Learn more about angle here:

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Answer:

13 and -6      or     6 and -13

Step-by-step explanation:

Use systems of equations

Answer:

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

Step-by-step explanation:

[tex]f(x)=x^5-3x^3[/tex]

[tex]0=x^5-3x^3[/tex]

[tex]x^5-3x^3=0[/tex]

[tex]x^3(x^2-3)=0[/tex]

[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

See the graph for a visual of the x-intercepts.

Answer: DH and HF correspond.

Answer:

U = -3

Step-by-step explanation:

U/-1 +-4=-1

Add 4 to each side

U/-1 +-4+4=-1+4

U / -1 = 3

Multiply each side by -1

U / -1  * -1 = 3* -1

U = -3

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

Answer:

n = 7

Step-by-step explanation:

sarah = m

annie = n

sarah has 21 more than annie

m = 21+n

given sarah has 28 quareters

m = 21 + n

28 = 21 + n

28 - 21 = n

7 = n

annie has 7 quarters.

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

Answer:

$78.94

Step-by-step explanation:

15% = 0.15

multiply to the total (68.65)

0.15 × 68.65 = 10.2975

$68.65 + 10.2975 = $78.94

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Explanation:

Draw a vertical line through 5 on the x axis. This represents the equation x = 5. Notice that we intersect the blue line at (5,-1) which tells us that f(5) = -1. There's a closed point here, meaning that the point is included. This is in contrast to the open hole at (5,3) which is not part of the function. So be careful not to say that f(5) = 3 because that's not the case.

Answer:

i think it's f(5) - a wild guess

Step-by-step explanation:

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

Step-by-step explanation:

answer is in the image above

Answer:

Probability of 100 managers being selected= 100C100*1100C800/1200C900

Probability of selecting just one manager = 1C100*1199C899/1200C900

Explanation:

Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

We use combination since order doesn't matter:

Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;

a.  P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀

b.  P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery.

Assuming that your company currently employs 100 managers, 300 factory workers, and 900 miscellaneous staff.

We can use combination since order does not matter;

a)  The probability of all the managers will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]

b)  The probability of you will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

Answer:

most likely C

Step-by-step explanation:

the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1