-3x + 10 = -5



What is the hypothesis?

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:

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:

78

Answer:

50

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

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

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:

2 trees

Step-by-step explanation:

Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be [tex]234-52-68=114[/tex]

This means the side adjacent to Dayton Avenue is

[tex]114\div2=57[/tex] feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

[tex]57\div20=2.85[/tex]

Rounding down gets us 2.

Hope this helped!

The number of trees to be planted is 2 trees

The process of arriving at the above number of trees is as follows;

The given parameter are;

The perimeter of the plot of land adjacent to Dayton Avenue = 234 ft.

The perimeter has two pair of unknown lengths sides marked with equal lengths symbols

One length each of the two congruent pairs form a linear pair adjacent to the road

The length of one of the other side = 52 feet

The length of the fifth side of the perimeter = 68 ft.

Method;

Let, x, and y represent the lengths of the congruent pairs, we have;

52 ft. + 68 ft. + 2·x + 2·y = 234 ft.

2·x + 2·y = 234 ft. - (52 ft. + 68 ft.) = 114 ft.

The  length of the linear pair forming the side of the perimeter adjacent to the road, x + y = 114 ft./2 = 57 ft.

The number of trees planted every 20 ft. = 1 tree

The number of trees, n, that can be planted along the perimeter of the plot of land adjacent to Dayton Avenue which is 57 ft. long is therefore;

n = 57 ft./(20 ft./Tree)

∴ n = 57/20 Trees = 2.85 trees

The number of trees that can actually be planted by the owners of the plot

of land is given by rounding down to the next whole number, given that the

the information is statistical analysis which gives;

n ≈ 2 Trees

The number of trees to be planted = 2 trees

Learn more about statistical analysis here;

https://brainly.com/question/3014289

Answer:-1[4+(-4)]

Step-by-step explanation:

4 and -4 are equaled to 0. So it is -1(0)

Answer:

A

Step-by-step explanation:

Answer:

$65.27

Step-by-step explanation:

Multiply $61.00*0.07=65.27

Answer:

$65.27

Step-by-step explanation:

61x.07=4.27

61+4.27=65.27

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]

Answer:

a

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

Answer:

572

Step-by-step explanation:

3(4)*(7)^2-4^2

Answer: 2 Answers By Expert Tutors

The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16

Step-by-step explanation:

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]

Answer:

C

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:

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: 24

Step-by-step explanation:

Answer:

%180?

Step-by-step explanation:

90+90 is 180

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:

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:

You would be required to pay $587.50

Step-by-step explanation:

Divide $1762.50 by three:

You get $587.50

To find how much you have left:

Subtract 587.50 from 668.72:

You'd be left with

$81.22

Answer:

If you are asking if you can afford to pay rent, then yes you can. Your share of rent would be 1762.50 divided by 3, which equals 587.50. Therefore since 587.50 is less than 668.72, you can afford to pay your rent. Hope this helps!

Step-by-step explanation:

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:

2x+5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

3^7 = 2187

3^8 = 6581

===========

You can see that the pattern is beginning to repeat itself.

===================

So all you need do is take 2099 and divide by 3. You must pay attention to the remainder.

2099 / 4 = 524.75

The answer means that you go through the cycle 524 times getting 1,3,9,7,1 as the units digit.

In this case the remainder is 0.75 which is the same as 3/4. The remainder then is 3

If there is no remainder, the ending is a one.

if there is a remainder of 1 the answer is 3

If there is a 2 remainder, the number ends in 9

If there is a 3 remainder, the number ends in 7

And that's your answer.

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:

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:

2.08

Step-by-step explanation:

10/x = 24/5

50 = 24 x

x = 50 / 24

x = 2.08 m

This answer is rounded to the nearest hundredth.

Answer:

2.083 meters

Step-by-step explanation:

10/24 = 0.416

if the toad travels 10 meters in a day then in order to get how many meters the toad travels in an hour you have to divide that number (10) by 24 which is the number of hours in a day

0.416 × 5 = 2.083

After that you just have to multiply the number of meter that the toad travels in an hour by 5 hours which will get you 2.083 meters