Fatoring Trinomials
x^2+2x=-1

Answer:

Step-by-step explanation:

[tex]\frac{(1-cosA)^2+sin^2A}{sinA(1-cosA) }=\frac{1-2cosA+cos^2A+sin^2 A}{sinA(1-cos A)}[/tex]

[tex]=\frac{2-2cos A}{sinA(1-cosA)}[/tex]

[tex]=\frac{2(1-cosA)}{sinA(1-cosA)}=\frac{2}{sinA}=2cscA[/tex]

Answer:

2,000

Step-by-step explanation:

I just completed it on Khan Academy and it was right. I hope this helps!

Answer:

2000 likes per minute

Step-by-step explanation:

thats the answer on khan

Answer:

the difinition of addition is adding two things together

Step-by-step explanation:

Answer: Hi!

The definition of addition is when you add two or more more numbers (positive or negative.)

Hope this helps!

Answer:

24

Step-by-step explanation:

The answer is 24 because you have to use PEMDAS which is parenthesis, exponents, multiply and divide left to right (which means whichever one is first), lastly add and subtract left to right.

Answer:

  f(x) = -x -1

Step-by-step explanation:

You can make the correct choice by seeing which equation works for the first line of the table.

  f(-1) = -(-1) -1 = 0 . . . . . the first equation works

  f(-1) = -(-1) +1 = 2 . . . not zero

  f(-1) = -1 -1 = -2 . . . not zero

  f(-1) = 1 -(-1) = 2 . . . not zero (same as second equation)

Answer:

f (x)= -x-1

Step-by-step explanation:

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

Answer:

Step-by-step explanation:

The complete question tells us  that;

A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( µ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results.

NOTE: the attached minilab worksheet calculates this problem.

below is the attached image.

Answer:

14,175

Step-by-step explanation:

since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.

1 foot = 12 inch

dimension of room

12 feet by 20 feet by 8 feet

dimension of room in inches

12 feet = 12*12 inches = 144 inches

20 feet = 12*20 inches = 240 inches

8 feet = 12*8 inches = 96 inches

volume of cube = length *width *height

dimension of room = 144 inches * 240 inches * 96 inches

                        = 3,317,760 cubic inches

volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.

let there be n packages in the room

volume of n package = n*volume of 1 package = 2,106*n cubic inches.

This volume of n packages should be equal to volume of warehouse

2,106*n= 3,317,760

=> n= 3,317,760/2,106 = 1,575.38

since package cannot be in fraction and value after decimal is less than 5 we will round the value to  1,575.

Thus, no of packages is 1,575

1 package has 9 rolls

1,575 package has 9*1575 rolls

thus, no of rolls in the warehouse = 14,175

Answer:

Through a cellular service provider, the phone connects to the Internet through data transfer the same way a PC does, but with a wireless link. ... Cell phones have an in-built antenna which is used to send packets of digital information back and forth with cell-phone towers via radio waves. so the use of the internet it allows u to download apps,visit sites, (ect.)

Hope this helps_ /(TwT)\_

Answer:

  see below

Step-by-step explanation:

You know that the denominator of a fractional exponent is the same as a root index, so ...

  [tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}\\\\\boxed{x^{\frac{2}{7}}=\sqrt[7]{x^2}}[/tex]

Answer:

24.013.

Step-by-step explanation:

Simplify: 24 13/1,000 = 24013/1000. Than just use a calculator to make it into a decimal.

Answer:

135.

Step-by-step explanation:

(21 + 3) · 6 - 9

*21 + 3 = 24

24 · 6 - 9

**24 · 6 = 144

144 - 9

***144 - 9 = 135

Answer:

b= u/y -r

Step-by-step explanation:

For this, we will divide 1,270,224 by 144.

1,270,224 ÷ 144 = 8,821.

For this result, we can conclude that the number of boxes required to pack 1,270,224 litchis is 8,821 boxes.

Answer:

6x^3-5x^2

Step-by-step explanation:

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

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is,

[tex]6x^{3} - 5x^{2}[/tex].

Here, given expression is,

[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex]

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}[/tex]

Hence, The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is, [tex]6x^{3} - 5x^{2}[/tex].

Learn more about the simplest form of the expression visit:

https://brainly.in/question/19257508

#SPJ2

Answer:

I use celcius so can u convert if I were to answer ?

Answer:

3 days

Step-by-step explanation:

6 in the morning and 2 at the afternoon which mean David washed 8 windows a day.

24/8=3

So it took him 3 days

Hope this helps! :)

(pls mark brainliest)

Answer:

3 days

Step-by-step explanation:

when you divide 24 by 8 you get 3

Answer:

1.25 is largest, 1.1 is second, 0.924 third, 0.61 fourth, 0.5 fifth, 0.12 sixth.

Step-by-step explanation:

I will edit this post and explain later because you said you need the answer fast. :)

Answer: B

Step-by-step explanation: I think thats right

Answer:

f(n)= (n-50)²

Step-by-step explanation:

The difference between a number n and fifty:

Square of this difference:

It would look like this as variable expression:

Answer:

The student got 90% correct and 10% incorrect.

Step-by-step explanation:

Answer:

0.25 x 5 = 1.25

This will not require any division. So, this is the answer. Hope this helps!

Answer:

$1.50

Step-by-step explanation:

1.50 x 3 = 4.50

Answer:

1.50$ per pound

Step-by-step explanation:

Step 1: State what is known

They tell us that 3 pounds cost 4.50$

Step 2: Find how much 1 pound cost

We divide 4.50$ by 3 to find out how much 1 pound costs

4.5/3 = 1.5

Therefore 1 pound of sour candies cost 1.50$

Answer:

25 cubes

Step-by-step explanation:

Conditions are:

Then the the option is:

So the smallest bottom layer is 5*5 = 25 cubes and the layers from the bottom are:

Answer:

y=x-5

Step-by-step explanation:

First we need to find the slope.

(-8+6)/(-3+1)

-2/-2

So the slope is 1

Using -1,-6 because we know the slope is 1, if we add 1 to x, we add 1 to y

So the y intercept is 0,-5

The equation is y=x-5

First find the gradient

[tex] \frac{y2 - y1}{x2 - x1} = \frac{( - 8) - ( - 6)}{( - 3) - ( - 1)} = \frac{5}{2} [/tex]

then using the formula y-y1 = m(x-x1)

y - (-6) = 5/2(x-(-1))

y + 6 = 5/2 (x+1)

2y + 12 = 5x + 5

2y - 5x = 5-12

2y - 5x = -7

5x - 2y = 7

so equation of the line is 5x -2y = 7

Sorry if im wrong

Answer:

The equation is:

(1/a)x + (1/b)y + (1/c)z = 1

Step-by-step explanation:

The direction vector between the points (a, 0, 0) and (0, b, 0) is given as:

<0 - a, b - 0, 0 - 0>

<-a, b, 0> .....................(1)

The direction vector between (0, 0, c) and (0, b, 0) is given as:

<0 - 0, b - 0, 0 - c>

= <0, b, -c> .....................(2)

To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

<-a, b, 0> × <0, b, -c> = <-bc, -ac, -ab>

To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

(-bc)x + (-ac)y + (-ab)z = (-bc)0 + (-ac)b + (-ab)0

(bc)x + (ac)y + (ab)z = (ac)b

Dividing both sides by abc, we have:

(1/a)x + (1/b)y + (1/c)z = 1

We will call π,  the plane with points P, Q, R  ( the intercepts )

The solution is:

π :  -bc×x + ac×y -ab×z - bac = 0

c) d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

The intercepts  P Q R are three points of the plane, according to that

P ( 0, b, 0 ) intercept with y-axis

Q ( a, 0, 0 ) intercept with x-axis

R ( 0, 0, c ) intercept with  z-axis

We will find the vectors PQ  and  PR both are on the plane

PQ  = [ a, 0, 0 ] - [ 0, b, 0 ]         ⇒     PQ = ( a , -b, 0 )

PR  =  [ 0, 0, c ] - [ 0, b, 0 ]          ⇒     PR = ( 0, -b  c )

The vectorial product of these two vector will give us, one normal vector to the plane.

                        i        j         k

PQ * PR  =     a      -b        0    =   i (-bc)  - j ( ac - 0 ) + k ( -ab - 0)

                       0      -b        c

PQ * PR  = [ -bc,  -ac,  -ab ]

we call this vector n =  [ -bc, -ac, -ab ]

Let´s now find a vector between P,  and a general point T ( x , y , z ) on the plane.

PT = [ x, y, z ] - [ 0, b, 0 ]    ⇒  PT = [ x-0 , y - b , z - 0 ]

PT = [ x, y-b, z ]

Vector PT is perpendicular to vector n, then their dot product must be 0

Then:

PT × n = 0

[ x, y-b, z ] ×   [ -bc, -ac, -ab ] = 0

x × (-bc) + ( y - b )× (ac) + z × (- ab) = 0

-bc×x + ac×y -bac - ab×z = 0

-bc×x + ac×y -ab×z = bac         (1)

Finally,  we got the implicit equation for plane π as:

π :  -bc×x + ac×y -ab×z - bac

c) The distance (d) between the plane and the origin is:

d = | D | / | n |

| n | = √ ( -bc)² + (-ac)² + ( -ab)²

|D| = | bac|     the right side of the equation (1)

Then

d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

Related Link :https://brainly.com/question/3914382

Answer:

Step-by-step explanation:

a)  Since the x's of the original equation are equal to the y's of the inverse equation, and vice versa, you can simply put the x-values of the table for the inverse equation into the y-values of the original equation.  The same principle applies to the inverse equation.  The table should look like the tables attached.

b)  The x's and y's in the points of the inverse are switched.  The points will be

(10, 27)  -->  (27, 10)

(3.5, 14)  -->  (14, 3.5)

(a, b)  -->  (b, a)

(x, y)  -->  (y, x)

Answer:

(x+1)²/6 - (y+3)²/12 = 1

Step-by-step explanation:

The standard form of writing the equation of an hyperbola is expressed as;

(x-h)²/a² - (y-b)²/b² = 1 where (h,k) is the centre of the hyperbola.

Given the equation:

6x²-3y²+12x-18y-3 = 0

We are to convert it to the standard form of writing the equation of a hyperbola.

Collecting the like terms will give;

(6x²+12x)-(3y²+18y)-3 = 0

Divide through by 3

(2x²+4x)-(y²+6y)-1 = 0

Completing the square of the equation in parenthesis and adding the constants to the other side of the equation:

(2x²+4x)-(y²+6y+(6/2)²)-1 = 0+(6/2)²

(2x²+4x)-(y²+6y+9)-1 = 9

2x²+4x -{(y+3)²} = 9+1

2x²+4x - (y+3)² = 10

Divide through by 2

x²+2x -(y+3)²/2 = 5

(x²+2x+(2/2)²)-(y+3)²/2 = 5+(2/2)²

(x²+2x+1) - (y+3)²/2 = 5+1

(x+1)²-(y+3)²/2 = 6

Divide through by 6

(x+1)²/6 - (y+3)²/12 = 1

The resulting equation is the required standard form of a hyperbola with centre at (-1, -3)

Answer:

4%.

Step-by-step explanation:

The cube of 5 is 125.

So the required percentage is (5 * 100) / 125

= 500/125

= 4%.