Find m∠2

Any help on this would be great!

Answer:

see explanation

Step-by-step explanation:

1

[tex]\frac{6x^2+11x-10}{3x^2+x-2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(2x+5)(3x-2)}{(x+1)(3x-2)}[/tex] ← cancel common factor (3x - 2) on numerator/ denominator

= [tex]\frac{2x+5}{x+1}[/tex]

2

[tex]\frac{10}{12}[/tex] - [tex]\frac{6}{12}[/tex]

= [tex]\frac{10-6}{12}[/tex]

= [tex]\frac{4}{12}[/tex]

= [tex]\frac{1}{3}[/tex]

3

[tex]\frac{3x}{x+2y}[/tex] - [tex]\frac{4y}{x+2y}[/tex]

= [tex]\frac{3x-4y}{x+2y}[/tex]

Answer: A . B . C. D

Step-by-step explanation:

you should select all of them there all right?

Answer:

Step-by-step explanation:

1.63 meters = 163 centimeters. Formula

Answer:

C

Step-by-step explanation:

[tex]-(6^{-5})(6^3) \\ \\ =-6^{-5+3} \\ \\ =-6^{-2} \\ \\ =-\frac{1}{6^2} \\ \\ =\frac{1}{36}[/tex]

Tristan's forecast for income next year is $3,876.

The forecast income can be determined using the mathematical operation of multiplication.

First, the total number of hours worked next year is determined as 204.  This is a product of 17 weeks and a 12-hour week.

Lastly, the above product multiplies the hourly pay rate at $9.50 by two semesters, to determine the expected income for next year.

The average hours of work by Tristan per week = 12 hours

Hourly pay rate = $9.50

The total number of weeks to work = 17 weeks

The total number of hours to be worked = 204 hours (17 x 12)

Expected earnings for each semester = $1,938 ($9.50 x 204)

Expected earnings for two semester = $3,876 ($1,938 x 2)

Thus, Tristan should expect to earn $3,876 for next year.

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Division is a simple operation in which a number is divided.  1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

Division is a simple operation in which a number is divided.

Division lets us separate a number of objects into equal-size groups.

Division has 3 important parts dividend, divisor, remainder and quotient.

1.168 ÷ 8= 0.146

(Because 0.146*8=1.168)

2.246÷12= 0.1871

(Because 12*0.1871=2.246)

3.4328÷4=0.8582

(Because 4*0.8582=3.4328)

4.729÷9=0.5254

(Because 9*0.5254=4.729)

5.8415÷5​​​​=1.168.

(Because 5*1.168=5.8415)

Therefore 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

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Assuming an hypergeometric distribution, the probability that both are red is equal to 33.99%

In an hypergeometric distribution, these three (3) conditions listed below must hold:

In Mathematics, probability from an hypergeometric distribution can be calculated by using this formula:

[tex]p(X = x) = \frac{^MC_x \;^{N-M}C_{n-x}}{^NC_n}[/tex]

N = 12 + 31 = 43

n = 2

M = 12

N - M = 43 - 12 = 31

Substituting the parameters into the formula, we have;

P (X = 2) = (¹²C₂ × ³¹C₂)/⁴³C₂

P (X = 2) = 30,690/903

P (X = 2) = 33.99%

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Answer:

So, gear ratio will be \frac{45}{18}= \frac{5}{2}=2.5

18

45

=

2

5

=2.5

Hence, the ratio is 2.5 :1.

Each given statement can be written as a conditional statement as follows:

19. If I go swimming, then my skin will get wet.

20. If a number is divisible by 6, then it is divisible by 3.

21. If it is a Tuesday, then the tickets are half-priced.

The phrase "if...then" is used to denote a conditional statement. If p and q are the two statements, then p and q can be written under several conditions, such as;

Given the statements:

p: My skin will get wet

q: if I go swimming

Here, q is necessary for p.

Hence, the condition statement is "If I go swimming, then my skin will get wet."

p: a number is divisible by 6

q: a number is divisible by 3

Here, p implies q.

Hence, the condition statement is "If a number is divisible by 6, then it is divisible by 3."

p: movie tickets are half-price

q: it is a Tuesday

Here, q is necessary for p.

Hence, the conditional statement is "If it is a Tuesday, then the tickets are half-priced."

Therefore, each given statement can be written as a conditional statement as follows:

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[tex] \bf \implies{f( - 4) \: = \: g( - 4) \: and \: f(0) = g(0)}[/tex]

We can observe from the given graph that the two functions intersect each other at (0,4) and (-4,4)

→ g(0) = f(0)

and g(-4) = f(-4)

The measure of the angle labelled y as represented in the image attached to the task content is; 125°.

It follows from the task content that the value of angle y is to be determined from the image attached to the task content.

On this note, one must recall that from polygon theorems; the sum of all exteriors angles of a polygon is equal to; 360°.

Therefore; we have;

60° + 70° + 65° + 40° + y° = 360°

By isolating y°; we have;

y° = 360° - 60° - 70° - 65° - 40°

y° = 125°

Ultimately, the measure of the angle labelled y as represented in the image attached to the task content is; 125°.

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Answer:

1/16

Step-by-step explanation:

you have a 1/2 chance to get the answer right. Each time you add a new answer, you multiply the current chance by the chance of getting the new answer correct. So, the chance of getting 4 answers correct is 1/2^4, or 1/16

Answer:

Step-by-step explanation:

2 is 0.00007

3 is 0.000875

1 i cant answer because it hurts my dyslexia

System of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

As given,

Let x represents the number of games

and y represents the number of rides

System of equation are:

x+ y=12                        ___(1)

2.50x+3.75y=36.25    ___(2)

Multiply 2.50 to (1) subtract from (2) we get,

1.25y=6.25

⇒y=5

Hence, x=12-5

               =7

Therefore, system of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

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Answer: The slope is $70

Step-by-step explanation: Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

hope this helps

The total cost, in dollars, before taxes Addition

Given that

To find

So, according to the question

we have,

A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.

So, we can say that

   Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of [tex]\frac{1}{2}[/tex] bottle laundry detergent

       = 2.60 + [tex]\frac{1}{2}[/tex]× 2.60

       = 2.60 + 1.30

       = $3.90

Answer:

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Answer: 6

Step-by-step explanation:

[tex] \large \bf \implies{} |10.5 - ( - 6.1)| [/tex]

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

The constant of proportionality is 190.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

To find proportionality constant we will find difference of weights of the baby whale after 2 days and at birth.

5710 - 5520 = 190

Now we will find difference of weights of the whale after 14 days and at birth.

We will divide the difference by 14.

(8180-5520) ÷ 14 = 190

Weights are rising at a consistent rate of 190 pounds every day, as can be seen. As a result, 190 is our proportionality constant.

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Ball will be at 10 feet above the ground for 2.14 or 0.29 seconds .

We have given a formula h = 39t - 16t² .     ....(2)

Putting h = 10 in equation (2) , we get

        [tex]10=39t-16t^2\\16t^2-39t+10=0[/tex]

Using quadratic formula in equation (1) , we get

 a = 16 , b = -39 , c = 10

     [tex]t=\frac{-(-39) \pm\sqrt{(-39)^2-4(16)(10) }}{2(16)} \\\\t=\frac{39 \pm\sqrt{1521-640 }}{32} \\\\t=\frac{39 \pm\sqrt{881 }}{32} \\\\t=\frac{39 \pm29.68}{32} \\[/tex]

t will have 2 values

[tex]t=\frac{39+29.68}{32} =2.14s[/tex]

and [tex]t=\frac{39-29.68}{32} =0.29s[/tex]

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The height of the window is 9-x feet, the perimeter of the window is 36-2x.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables.

Given that,

A window is 9 feet long.

Its length exceeds its height by x feet.

The length of the window = 9 feet

Then, the height of the window,

x feet shorter than the length= 9-x feet

As a result, the window is 9-x feet tall.

The perimeter of the window is 2 (l+b)

2 (9+9-x),

2 (18-x),

36 - 2x.

Therefore, the perimeter of the window is 36-2x.

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Answer:10

Step-by-step explanation:

6+4=10

Easy

Answer:     a=8

Step-by-step explanation:

[tex]{\huge\color{green}{\boxed{\fcolorbox{red}{yellow}{꧁ANSWER꧂}}}} \\ \\ 21a + 32 = 25a \\ \\ - 4a = - 32 \\ \\ 4a = 32 \\ \\ a = \frac{32}{4} = 8[/tex]

The total mass of the paper clips in scientific notation is 2.226*10 mg

We know that the mass of a single paper clip is:

M = 7.0*10⁻⁴ mg

And in one box has a total of 3.18*10⁴ clips inside of it, then the total mass of the paper clips on the box will be equal to the product between the mass of a single clip and the total number of clips.

We will get:

total mass = (7.0*10⁻⁴ mg)*(3.18*10⁴)

Using the associative property we can rewrite:

total mass = (7.0*3.18)*(10⁻⁴*10⁴) mg

                 = (22.26)*(10⁰) mg = 22.26 mg

Now we want to write this in scientific notation, so we need to have a single digit in the left of the decimal point, then we can rewrite this as:

22.26 mg = 2.226*10 mg

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Answer:

ok

Step-by-step explanation:

domain = (3,3)

range= (1,1)

funtion=discrete?

The percentage error of 35/6 is 3x10⁻³

Percent error calculates the difference between an estimate and a right number and expresses it as a percentage. Analysts can use this statistic to determine how big the mistake is in relation to the actual number. It is also referred to as % error and percentage error.

35 / 6 =5.83333

to 3 decimal places=5.833

3 significant figures=5.83

error = wrong value - correct value

error=5.833-5.83-0.003

in standard form

error= 3x10⁻³

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The amount of fuel left after t hours will be y = 10 - 2t. Then the amount of fuel left after 2 hours will be 6 gallons.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anand is traveling by car a long distance. He has 10 gallons of gas in his automobile right now. His automobile burns through 2 gallons of gas per hour while he is on the road.

Then the equation will be

y = 10 - 2t

Where t is the number of hours and y represents the fuel left in the tank.

The amount of fuel left after 2 hours will be

y = 10 - 2 x 2

y = 10 - 4

y = 6 gallon

The amount of fuel left after 2 hours will be 6 gallons.

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He wants to be within 5 homeruns of hitting 30 for the year, therefore he needs 25 home runs.

From the information, it was stated that John wants to hit homeruns for his baseball team and that he wants to be within 5 homeruns of hitting 30 for the year.

Let the number of home runs be represented by x.

Therefore, x + 5 = 30

x = 30 - 5

x = 25

Therefore, since he wants to be within 5 homeruns of hitting 30 for the year, he needs 25 home runs.

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