4. What is the correct simplified form? See picture

Answer:

EF = 58

Step-by-step explanation:

From the question given, we obtained the following information:

DF = 9x – 39

DE = 47

EF = 3x + 10

EF =?

We'll begin by calculating the value of x.

This can be obtained as follow:

DF = DE + EF

DF = 9x – 39

DE = 47

EF = 3x + 10

DF = DE + EF

9x – 39 = 47 + 3x + 10

9x – 39 = 47 + 10 + 3x

9x – 39 = 57 + 3x

Collect like terms

9x – 3x = 57 + 39

6x = 96

Divide both side by 6

x = 96/6

x = 16

Finally, we shall determine the value of EF as follow:

EF =?

x = 16

EF = 3x + 10

EF = 3(16) + 10

EF = 48 + 10

EF = 58

Answer:

-22.23    -22.25     -22.5      -22.52

Step-by-step explanation:

-22.52,-22.5, -22 1/4, -2223%

-22 1/4 = -89/4 = -22,25

-2223% / 100%= -22.23

-22.23    -22.25     -22.5      -22.52

Answer:

C) A cut parallel to the vertical axis, directly through the vertical axis

Step-by-step explanation:

If you were to cut this figure in half vertically, the view from the front would be a triangle.

To produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

We have a square pyramid shown in the picture.

We must cut along to the vertical axis but off the vertical axis in order to create a triangle from the square pyramid.

Thus, to produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.

Learn more about the pyramid here:

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Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

Answer:

The year in which the population passed 6 billion is 2000.

Step-by-step explanation:

We are given that a student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modeled by the equation 300y = 23t − 44180; where (1950 ≤ t ≤ 2010).

And we have to calculate the year in which the population passed 6 billion.

The given expression is;

[tex]300y=23t-44180[/tex]

Firstly, put t = 1960   {as t lies between 1950 and 2010}

[tex]300y=(23\times 1960)-44180[/tex]

[tex]300y=45080-44180[/tex]

[tex]300y=900[/tex]

[tex]y = \frac{900}{300}[/tex]  = 3 billion

But we have to cross the population by 6 billion.

Now, put t = 1999 in the expression;

[tex]300y=(23\times 1999)-44180[/tex]

[tex]300y=45977-44180[/tex]

[tex]300y=1797[/tex]

[tex]y = \frac{1797}{300}[/tex]  = 5.99 billion

Still, it's not passed 6 billion, so finally put t = 2000;

[tex]300y=(23\times 2000)-44180[/tex]

[tex]300y=46000-44180[/tex]

[tex]300y=1820[/tex]

[tex]y = \frac{1820}{300}[/tex]  = 6.1 billion

Now, the global population has crossed 6 billion.

Hence, the year in which the population passed 6 billion is 2000.

Answer:

Step-by-step explanation:

There are two denominators here:  x and 2.  The LCD is 2x.  

Remove the fractions by multiplying all three terms by 2x:

2x(b) + 2x*3/x = 2x*f/2

Reducing these terms, we get:

2xb + 6 = x*f

Grouping the x terms together:  2xb - xf = -6

                                    -6

Solving for x: x = ------------------

                                 2b - f

Answer:

a)to find mean

(sum the scores, divide by the number of scores) that is

( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21

= 42/21

= 2

b)

median means order the scores numerically then you choose the score in the middle and that is 2

c)sum of squared deviations is done by take difference between each score and the mean, square the result That is

Summation (xbar - x)²

add the final answer is 56

d)variance is gotten by taking sum of squared deviations, divide by (n-1))=

Summation (xbar - x)²/n-1

=2.8

e)standard deviation is square root of variance)= √V = 1.6

Answer:

Step-by-step explanation:

78

Answer:

50

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Range is calculated by Taking the highest value number (1) and the lowest number(-4) and subtracting both the numbers.

Answer:

Step-by-step explanation:

As we know that

range= largest -smallest value

So

-4=smallest value

-1=largest value

-4-1=-5

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

We have the final answer as

Hope this helps you

Answer:

5(x+x)=2(3)+3

Step-by-step explanation:

The expression in other way can be written as  5* (3 larger + 6 small stickers)

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

for example:

An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3

Given:

Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages,

5 * 3 + 5 * 6

Using distributive property,

a* b + a* c = a* ( b + c)

So,

5* ( 3+ 6)

= 5* 9

=45

also, the another way is

As the pages in both case is 5.

So,  5* (3 larger + 6 small stickers)

Learn more about expression here:

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Answer:

29

Step-by-step explanation:

if you do 58 divided by 2 you get 29 so Mr. John doubles 29.

Answer:valid

Step-by-step explanation:

Answer:

  J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?

Step-by-step explanation:

You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.

Scenarios F and G involve addition of 17.35 to something.

Scenario H would correspond to the inequality ...

  17.65x < 624.60

The sign of the given inequality is >, so scenario H is not the one.

__

In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:

  17.35x > 624.60 . . . . . . answer choice J

Answer:

The question is not complete.

I will explain the concept of Singular Value Decomposition

Step-by-step explanation:

The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the  product of three matrices A = [tex]U DV^{T}[/tex] where the columns of U and V are orthonormal and  the matrix D is diagonal with positive real entries.

This process is used to carry out many tasks.

Data matrix A is useful to find a low rank matrix which is a good approximation  to the data matrix.

The columns of V is called the right singular  vectors of A and it normally form an orthogonal set with no assumptions on A. The columns  of U is reffered to as the left singular vectors and it also forms an orthogonal set. The orthogonality forms the inverse of A for a square and invertible matrix A which is [tex]V D^{-1}[/tex][tex]U^{T}[/tex].

If we want gain better insight of the process, we will need to treat the rows of an n × d matrix A as n points in a  d-dimensional space and find the best k-dimensional subspace  with respect to the set of points. This means that we will minimize the sum of the squares of the  perpendicular distances of the points to the subspace.

To find the best fitting line through the origin with respect  to a set of points {xi  |1 ≤ i ≤ n} will mean that we will minimize the sum of the squared  distances of the points to the line.

Answer:

x=0 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+2)2=4

Step 1: Simplify both sides of the equation.

x2+4x+4=4

Step 2: Subtract 4 from both sides.

x2+4x+4−4=4−4

x2+4x=0

Step 3: Factor left side of equation.

x(x+4)=0

Step 4: Set factors equal to 0.

x=0 or x+4=0

x=0 or x=−4

Answer:

[tex]\huge \boxed{1+(-3)=-2}[/tex]

Step-by-step explanation:

An arrow goes from 0 to 1.

So 0 + 1 or just 1.

An arrow goes from 1 to -2.

So 1 - 3 = -2.

1 moves 3 units to the left to -2.

[tex]1+(-3)=-2[/tex]

Greetings from Brasil...

Given the function:

F(X) = 3X

We know that F(X) = Y, so rewriting the function:

Let's check what is the inverse function of F(X). Just change the X for the Y and vice versa

Y = 3X

X = 3Y     isolating Y

Y = X/3

So the inverse of function F(X) is

Answer: 92 cents

Step-by-step explanation:

Answer:

2x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given data          

Sample Mean (M):  $48.77  

Sample Size (n): 20

Standard Deviation (σ) :  $17.58

Confidence Level: 80%

 we know that z*-Values for 80% Confidence  Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

Step-by-step explanation:

5x - 2xy + 4y - 3y + 2x - z + 3xy

7x + xy + y - z

Answer:

57.99 degrees

Step-by-step explanation:

a = <9, 0> and b = <5, 8>.

Then the dot product is (9)(5) + (0)(8) = 45 (a scalar)

The cosine of the angle between these two vectors is

              a · b         45                              45                 5

cos Ф = --------- = ------------------------ = -------------   =    -------- =  0.53  

              |a||b|       (9)( √[25 + 64] )      9(√89)             √89

The angle between the vectors is arccos 0.53, which comes out to 1.01 radian or 57.99 degrees.

Answer:

Hello your question is incomplete attached below is the complete question

Ix = 0   Ux = [tex]\sqrt{y-9z^2}[/tex]

Iz = 0   Uz = [tex]\frac{\sqrt{y} }{3}[/tex]

Iy = 5   Uy = 10

Step-by-step explanation:

Ix = 0   Ux = [tex]\sqrt{y-9z^2}[/tex]

Iz = 0   Uz = [tex]\frac{\sqrt{y} }{3}[/tex]

Iy = 5   Uy = 10

attached below is the detailed solution

Answer:

A

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=x^2-1\\g(x)=\sqrt x[/tex]

And we want to find:

[tex](f\circ g)(1)[/tex]

This is the same as:

[tex]f(g(1))[/tex]

So, to find the answer, find g(1) first:

[tex]g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1[/tex]

Now, substitute this value for g(1):

[tex]f(g(1))\\=f(1)[/tex]

And plug this into f(x):

[tex]f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0[/tex]

Therefore:

[tex]f(1)=f(g(1))=(f\circ g)(1)=0[/tex]

Our answer is A

Answer:

C

Step-by-step explanation:

Answer:

(E) None of the above

Step-by-step explanation:

The statistic provided is that of the population but the statistic you seek is that of the sample.

Looking at the statistic itself, Variance is the square of Standard Deviation or standard deviation is the square root of variance.

Hence you calculate the standard deviation of the population mean:

√144 = 12

The population standard deviation of/from the mean value is 12.

It could be possible to decipher the sample mean from population mean but not sample size.

So, you can't pick just any answer. Population size should be given first.

They are different values. The 6 in 45,369 is in the tens place while the 6 in 67,420 is in the ten thousand place.

Answer: [tex]6n+20[/tex]

Distribute

[tex](4)(5)+(4)(-n)+10n\\20+-4n+10n[/tex]

Combine Like Terms

[tex]20+-4n+10n\\(-4n+10n)+(20)\\6n+20[/tex]