HELP PLEASE!!!!!!!!!!!

Answer:

  None

Step-by-step explanation:

It simplifies to -12 = 12, which cannot be made true by any value of m.

Answer:

none

Step-by-step explanation:

Answer: Area of 1+Area of 2=Area of 3

I just took the test

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Since the given triangle is a right angle triangle and it has been given that squares 1, 2 and 3 are constructed on its respective sides.

Since the triangle is the right angle triangle so it will follow Pythagoras theorem.

Hypotenuse² = (height )² + (base)²

since hypotenuse is the one side of square 3

so area of square 3 = Hypotenuse²

similarly height² = area of square 1

Base² = area of square 2

so area of 1 + area of 2 = area of 3 will be defined by the Pythagoras theorem.

Therefore, Option D. is the answer.

Answer:

1/12

Step-by-step explanation:

There are two dices being rolled. A dice has six faces numbered from one to six. A fair dice means that the probability of each number to appear is equal. Thus the probability of any number showing up is:

P(a number appears on the dice) = how much times the number has been displayed on the dice/number of faces of the dice.

Since all numbers appear once, and there are six sides of a dice. therefore:

P(a number appears on the dice) = 1/6. Thus, P(6 appears on a dice) = 1/6.

As far as the odd numbers are concerned, there are three even numbers and three odd numbers on the dice. So P(odd number appears on the dice) = 3/6 = 1/2.

Assuming that the probabilities of both the dices are independent, we can safely multiply both the probabilities. Thus:

P(first dice lands on a 6 and second dice lands on an odd number) = 1/6 * 1/2 = 1/12.

Thus, the final probability is 1/12!!!

Answer:

C.11.2

Step-by-step explanation:

The distance between 2 points is given by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( -2-0)^2 + (-7-4)^2)

   = sqrt( (-2)^2 + (-11)^2)

  = sqrt( 4 + 121)

  = sqrt(125)

 = 11.18033989

To the nearest tenth

11.2

Answer:

B. 2

Step-by-step explanation:

Assuming the term is meant to look like this: -3x², then the answer is B.2. An exponent is a superscript (super means above, script means writing) that tells you to multiply something by itself.

In this case, -3x² means -3·x·x

If it was written as (-3x)², it would mean (-3x)·(-3x)

Answer:

2

Step-by-step explanation:

The exponent is raised to the power of any variable [smaller number].

I am joyous to assist you anytime.

Answer:

The solutions are x=8 and x=-4

Step-by-step explanation:

we have

[tex]\left|x-2\right|=6[/tex]

step 1

Find the first solution

case positive

[tex]+(x-2)=6[/tex]

[tex]x=6+2=8[/tex]

step 2

Find the second solution

case negative

[tex]-(x-2)=6[/tex]

[tex]-x+2=6[/tex]

[tex]x=2-6=-4[/tex]

Answer:

  108 ft²

Step-by-step explanation:

The product of length and width is ...

  (12 ft)(9 ft) = 12·9 ft·ft = 108 ft²

Answer:

13,506 m

Step-by-step explanation:

Applying the trigonometric relation between  opposite leg and hypotenuse

[tex]sin(\alpha)=\frac{Op}{h}[/tex]

isolating the variable [tex]sin(\alpha)=\frac{Op}{h} \longrightarrow h=\frac{Op}{sin(\alpha)}\longrightarrow h=\frac{5m}{sin(36^o)}=8,506m[/tex]

the total height is the sum to the hypotenuse and the opposite leg

[tex]h_{total}=hypotenuse+h=8,506m+5m=13,505m[/tex]

Answer:

A)  x + 2y = 4

3x + 4y -9z = 2

-x + 7z = 1

Step-by-step explanation:

The matrix form is

x y z  

1 2 0    4

3 4 -9   2

-1 0 7    1

Here 0 represents no term in system.

So, the following system represents the above matrix.

x + 2y + 0z = 4  => x + 2y = 4

3x + 4y -9z = 2

-x + 0y + 7z = 1  => -x + 7z = 1

Therefore, the answer is A.

[tex]\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in feet} \\\\ h(t) = -16t^2+v_ot+h_o \\\\ ~~~~~~\textit{in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{48}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{3.4}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf h(t)=-16t^2+48t+3.4\implies \stackrel{\textit{when it hits the ground}}{\stackrel{h(t)}{0}=-16t^2+48t+3.4}[/tex]

Check the picture below.

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

Answer:

a) Yes the events Chocolate and Adults are independent

b) Yes the events Children and Chocolate are independent

c) Yes the events Vanilla and Children are independent

Step-by-step explanation:

* Lets study the meaning independent and dependent probability  

- Two events are independent if the result of the second event is not

  affected by the result of the first event

- If A and B are independent events, the probability of both events  

 is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question

# From the table:  

- The probability of chocolate is 0.35

- The probability of vanilla is 0.65

- The probability of adults is 0.60

- The probability of children is 0.40

- The probability of chocolate and adults is 0.21

- The probability of chocolate and children is 0.14

- The probability of vanilla and adult is 0.39

- The probability of vanilla and children is 0.26

a.

∵ P(chocolate) = 0.35

∵ P(Adults) = 0.60

∵ Two events are independent if P (A and B) = P(A) · P(B)  

∵ P(chocolate) · P(adults) = (0.35)(0.60) = 0.21

∵ P(chocolate and adults) = 0.21

∴ P(chocolate and adults) = P(chocolate) · P(adults)

∴ The events chocolate and adults are independent

b.

∵ P(chocolate) = 0.35

∵ P(children) = 0.40

∵ Two events are independent if P (A and B) = P(A) · P(B)  

∵ P(chocolate) · P(children) = (0.35)(0.40) = 0.14

∵ P(children and chocolate) = 0.14

∴ P(chocolate and children) = P(chocolate) · P(children)

∴ The events chocolate and children are independent

c.

∵ P(vanilla) = 0.65

∵ P(children) = 0.40

∵ Two events are independent if P (A and B) = P(A) · P(B)  

∵ P(vanilla) · P(children) = (0.65)(0.40) = 0.26

∵ P(vanilla and children) = 0.26

∴ P(vanilla and children) = P(vanilla) · P(children)

∴ The events vanilla and children are independent

Answer:

I think 8 hours maybe if I wrong sorry

The time taken for  tap to leak a total of 300mL is 2.4 hours.

A tap is leaking water at a rage of 1L every 8 hours.

Since 1L = 1000 mL and it takes 8 hours

So for 300 mL it takes

[tex]= 300 \times 8 \div 1000[/tex]

= 2.4 hours

Learn more about the tap here: https://brainly.com/question/24489593

Answer:

Write the equation as n+31=113 and subtract 31 from both sides. The answer is 82.

Step-by-step explanation:

Let

n ----> the number

we have that

The equation is equal to

n+31=113

solve for n

subtract 31 both sides

n+31-31=113-31

n=82

Answer:Write the equation as n+31=113 and subtract 31 from both sides. The answer is 82.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Each dot represents 1 rock.

There are 10 dots in the plot, so there are 10 rocks in the collection.

Answer:

  {-1/2, 1}

Step-by-step explanation:

You can divide the given polynomial by the factor (x +2) to find the remaining quadratic. That can be factored in the usual way to find the remaining zeros, or other means can be used. Such "other means" include graphing and the use of the quadratic formula.

The first attachment shows the synthetic division of f(x) by (x+2). The quotient is 2x^2 -x -1, which factors as ...

  2x^2 -x -1 = (2x +1)(x -1)

The zeros are the values of x that make these factors zero: -1/2, +1.

_____

My favorite way to find the roots of any higher degree polynomial is to use a graphing calculator. The second attachment shows that method.

We can find other zeros for the given polynomial by polynomial factoring or polynomial division. Upon dividing the given polynomial by (x+2), we get another polynomial. The zeros of this second polynomial can be found using the quadratic formula; getting the two zeros as x = 1 and x = -0.5.

Given a polynomial  [tex]f(x) = 2x^3 + 3x^2 - 3x - 2[/tex]and one of its zeros is -2; we can find the other zeros by polynomial factoring or polynomial division. First, divide the entire polynomial by (x+2) because -2 is one of the zeros. So we end up with 2x^2 - x - 1 = 0.

Now use the quadratic formula to find the remaining zeros: [tex]x = [-b\±\sqrt(b^2 - 4ac)] / (2a).[/tex]By substituting the constants from the factored polynomial equation, we will get [tex]x = [-(-1)\±\sqrt((-1)^2 - 4*2*(-1))] / (2*2) = [1\±\sqrt(1 + 8)] / 4.[/tex]This simplifies to  [tex]x = [1\±\sqrt(9)] / 4 = [1\±3] /4.[/tex] Hence our two more zeros are x = 1 and x = -0.5.

https://brainly.com/question/29775881

#SPJ3

Answer:

Option A is correct.

Step-by-step explanation:

No of white cars: 25

No of blue cars : 17

Total number of white and blue cars = 25 + 17 = 42

No of silvers cars: 21

No of red cars: 9

Total number of silver and red cars = 21+9 = 30

No of white and blue cars more than silver and red cars

=Total number of white and blue cars - Total number of silver and red cars

=42 - 30

= 12 cars

So, Option A is correct.

Answer:

190000 is the best answer in my opinion because by 2006 it is more then 160000 but it is less then 200000

Step-by-step explanation:

Answer:

No of real solutions =1

No of  extraneous solution =2

Real solution: x =3

Step-by-step explanation:

[tex]\frac{3}{x}-\frac{x}{x+6}=\frac{18}{x^2+6x}[/tex]

solving:

Taking LCM of x, x+6 and x^2+6 we get x(x+6)

Multiply the equation with LCM

[tex]\frac{3}{x}*x(x+6)-\frac{x}{x+6}*x(x+6)=\frac{18}{x^2+6x}*x(x+6)\\3(x+6)-x*x=\frac{18}{x(x+6)}*x(x+6)\\3(x+6)-x*x=18\\3x+18-x^2=18\\-x^2+3x+18-18=0\\-x^2+3x=0\\x^2-3x=0\\x(x-3)=0\\x=0 \,\,and\,\, x =3\\[/tex]

Checking for extraneous solution

for extraneous solution we check the points where the solution is undefined

The solution will be undefined. if, x=0 or x=-6 so both are extraneous solutions

Putting x =3

[tex]\frac{3}{3}-\frac{3}{3+6}=\frac{18}{(3)^2+6(0)}[/tex]

[tex]\frac{3}{3}-\frac{3}{3+6}=\frac{18}{(3)^2+6(3)}\\1-\frac{3}{9}=\frac{18}{9+18}\\1-\frac{1}{3}=\frac{18}{27}\\\frac{3-1}{3}=\frac{2}{3}\\\frac{2}{3}=\frac{2}{3}[/tex]

So, x=3 is real solution.

Now, Selecting answers from tables

No of real solutions =1

No of  extraneous solution =2

Real solution: x =3

Number of                Number of                         Real solutions

real solution            Extraneous solution

     1                                        1                                     x=3

Extraneous solution--

It is a solution which is obtained on solving the equation but it does not satisfies the equation i.e. after it is put back to the equation it does not occur as a valid solution.

True solution or real solution--

It is the solution which is obtained on solving the equation and is also a valid solution to the equation.

The equation is:

[tex]\dfrac{3}{x}-\dfrac{x}{x+6}=\dfrac{18}{x^2+6x}[/tex]

On taking lcm in the left hand side of the equation we get:

[tex]\dfrac{3\times (x+6)-x\times x}{x(x+6)}=\dfrac{18}{x^2+6x}\\\\i.e.\\\\\dfrac{3x+18-x^2}{x(x+6)}=\dfrac{18}{x(x+6)}\\\\i.e.\\\\\dfrac{3x+18-x^2}{x(x+6)}-\dfrac{18}{x(x+6)}=0\\\\i.e.\\\\\dfrac{3x+18-x^2-18}{x(x+6)}=0\\\\i.e.\\\\\dfrac{3x-x^2}{x(x+6)}=0\\\\i.e.\\\\3x-x^2=0\\\\i.e.\\\\x(3-x)=0\\\\i.e.\\\\x=0\ or\ x=3[/tex]

When we put x=0 back to the equation we observe that the first term of the left hand side of the equation becomes undefined.

Hence, x=0 is the extraneous solution.

whereas x=3 is a valid solution to the equation.

First of all, for a point to be the solution to the system of equations, it must be located on both lines, since we are calculating the point at which the lines cross. Therefor, we can automatically discount B and D as the answers, which state that the point does not lie on either line. To see whether it is A or C we will have to solve the equations.

1. There are quite a few ways to approach solving the system of equations, however I will show the substitution method as it requires less modification of equations.

What we need to do is to isolate either x or y in one of the equations so that we can then substitute this value into the other equation. So for example if we take the first equation and isolate x:

3y + x = 6

x = 6 - 3y (Subtract 6 from both sides)

2. Now we can substitute this into the second equation (2y - x = 9).

when x = 6 - 3y:

2y - (6 - 3y) = 9

2y - 6 + 3y = 9

5y - 6 = 9 (Add 2y and 3y)

5y = 15 (Add 6 to both sides)

y = 3 (Divide both sides by 5)

From here, we can already see that the answer is C, since A has a y-value of 4, however if we were to completely solve the question we would do the following:

3. Now that we know the value of y, we can substitute this back into our equation of x = 6 - 3y to find x:

x = 6 - 3(3)

x = 6 - 9

x = -3

So, our solution is the point (-3, 3). It also has to lie on both lines to be a solution. Therefor C. It is (-3, 3) and lies on both lines, is the correct answer.

Answer:

The answer is C

(It is (−3, 3) and lies on both lines.)

Step-by-step explanation:

Move all the terms involving the sine to one side, and all the numbers to the other:

[tex]9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3[/tex]

Answer:

  D.  -|0.35t -14| +14

Step-by-step explanation:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

Answer:

x^4 - 15x^2 - 38x - 60.

Step-by-step explanation:

Writing it in factor form:

( x - 5)(x + 3) ( x - (-1 + 2i) )(x - (-1 - 2i))

There are 4 parentheses because  complex roots occur in pairs.

( x - (-1 + 2i) )(x - (-1 - 2i))

=  ( x + 1 - 2i) )(x +1 + 2i))

=  x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i  + 4

= x^2 + 2x + 4.

So our polynomial is

( x - 5)(x + 3)( x^2 + 2x + 4)

=  (x^2 - 2x - 15)(x^2 + 2x + 4)

= x^4 + 2x^3 + 4x^2 - 2x^3 - 4x^2 - 8x - 15x^2 - 30x - 60

= x^4 - 15x^2 - 38x - 60.

Answer:

it would take 5 seconds for the object to hit the ground after launched.

////////////////////////////////////////////////////////////////////////////////

1st step: (turn the quadratic function to a quadratic equation by setting the equal to zero): 0 = -16t2 + 80t + 0

2nd step: t = 0 & t = 5

(t = 0 is the time of launch. t = 5 represents the 5 seconds it took to hit the ground after the object was launched.)

Answer:

The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero to find the zeros of the function 0 = –16t2 + 80t + 0. You can factor or use the quadratic formula to get t = 0 and t = 5. Therefore, it is on the ground at t = 0 (time of launch) and then hits the ground at t = 5 seconds

Answer:

Z =7

Step-by-step explanation:

The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.

In this case, the middle segment connecting two sides of a triangle is Z.

This means that

[tex]Z = 0.5(14)[/tex]

Finally we have that:

[tex]Z =7[/tex]

The length of the middle segment is 7 units

[tex]|\Omega|=20\\|A|=2\\\\P(A)=\dfrac{2}{20}=\dfrac{1}{10}=10\%[/tex]

Answer:

1/10.

Step-by-step explanation:

The length of each cycle is 2 + 18 = 20 minutes.

During this time  the train in stationary for 2 minutes.

So the probability of the train being at the station when you arrive is 2/20 = 1/10.

1.)

   =(x-8i)(x+8i)

x^2+8ix-8ix-64i^2

x^2-64i^2

x^2-64(-1)

x^2+64

2.)

    =(4x-7i)(4x+7i)

16x^2+28ix-28ix-49i^2

16x^2-49i^2

16x^2-49(-1)

16x^2+49

3.)

    =(x+9i)(x+9i)

x^2+9ix+9ix+81i^2

x^2+18ix+81(-1)

x^2+18ix-81

4.)

    =(x-2i)(x-2i)

x^2-2ix-2ix+4i^2

x^2-4ix+4(-1)

x^2-4ix-4

5.)

    =[x+(3+5i)]^2

(x+5i+3)^2

(x+5i+3)(x+5i+3)

x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9

x^2+6x+10ix+30i+25i^2+9

x^2+6x+10ix+30i+25(-1)+9

x^2+6x+10ix+30i-25+9

x^2+6x+10ix+30i-16

Hope this helps :)

The correct equivalent expression is D. [tex]\log_2{256}[/tex].

The given expression is:
[tex]\log_2{16} + \log_2{16}[/tex]

First, we need to simplify the given expression using properties of logarithms.

Using the property:
[tex]\log_b{m} + \log_b{n} = \log_b(m \times n)[/tex]

We can rewrite the given expression as:
[tex]\log_2{16} + \log_2{16} = \log_2{(16 \times 16)} = \log_2{256}[/tex]

Now we can analyze the options given:

A. [tex]\log_2{28}[/tex]: This is not equivalent because 28 is not the same as 256.

B. 8: This is not in logarithmic form and not equivalent to the simplified expression.

C. [tex]\log{256}[/tex]: This is not equivalent because the base here is 10 (common logarithm), while the given expression has a base of 2.

D. [tex]\log_2{256}[/tex]: This is correct because our simplified form is exactly [tex]\log_2{256}[/tex].