Algebra question help plsssss

Algebra Question Help Plsssss

Answers

Answer 1

Answer: x<=-6 or x>=4 ==> option 2

Step-by-step explanation:

|x+1|-2>=3

|x+1|>=5

x+1>=5

x>=4

x+1<=-5

x<=-6

x<=-6 or x>=4 ==> option 2

Answer 2

Answer:

See below

Step-by-step explanation:

|x+1|  -2  ≥ 3      start by adding 2 to both sides

|x+1| ≥ 5      now   ....  

 x+1 >= 5              x+1 <=  -5

x  >= 4                    x <=  -6

combined         -6 >=  x >= 4


Related Questions

65.28 ÷ 12
round it to the nearest tenth If necessary.​

Answers

Answer:

5.44

Step-by-step explanation:

the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

Answers

No, there is only one outlier at 58 minutes.

What are outliers in data?

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

How do you calculate the outlier?

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

Complete question -

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

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9. The table shows the relationship between the number of targets a person
hits in a game of laser tag and that person's score.
Targets hit
3
4 5 6
Score
8 16 24 32 40 48
0 1 2
0

Answers

The table shows relationship between the number of targets a person

hits in a game of laser tag and that score of that person. The table shows is a continuous graph.

What is a continuous function in a graph?

As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil. In calculus, learning about a function's continuity is crucial since without it, a function cannot be differentiated.

If a function's graph is a continuous curve without any holes, gaps, or breaks, it is said to be continuous.

Now,

x-axis on the graph show "Target hit" and y-axis shows "Score"

Graph the points using a graphing calculator.

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The complete question is:

"The table shows the relationship between the number of targets a person

hits in a game of laser tag and that person's score.

Target hit  0   1    2     3     4     5    6

Score        0   8   16  24   32   40   48"

Number 13 and 9 please

Answers

Answer:

9.5>6      41.8>0

Step-by-step explanation:

show work needed please!

Answers

Answer: 120

Step-by-step explanation:

V=  {(4+2)² x 10}/3 = 120

Nate is looking for a repair service for general household maintenance. One
service charges $75 to join the service and $30 per hour. Another service charges
$15 to join the service and $40 per hour. After how many hours of service is the
total cost for the two services the same?

Answers

Answer: Total cost for the two services of hours = $6.

Step-by-step explanation:

Given data,

Nate is looking for a repair service for general household maintenance.

First service charges = $75

First service charge per hour = $30 per hour

Another service charges = $15

Another service charge per hour = $40 per hour

Total cost of hours of service is = x

So,

We can write,

                          75 + 30x = 15 + 40x

Rearrange variables to the left side of the equation,

                          30x - 40x = 15 - 75

Combine like terms,

                                  -10x = 15 - 75

Calculate the sum or difference,

                                    -10x = -60

Divide both sides of the equation by the coefficient variable,

                                      x = -60/-10

Determine the sign for multiplication or division,

                                      x = 60/10

Cross out the common factor,

                                       x = 6

Therefore,

Total cost for the two services of hours = $6.

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Consider this equation. (4x)1/3 - x = 0 The first step in solving this equation is to ___The second step is to ____ Solving this equation for x initially yields _____ Checking the solutions shows that _____

Answers

The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.

The equation given is [tex]4x^{1/3}[/tex]- x = 0

We need to solve it stepwise.

The first step will be to to move -x to RHS.

[tex]4x^{1/3}[/tex]- x = 0

or

[tex]4x^{1/3}[/tex] = x

The second step is to solve to get the values of x.

4x = x³

4x - x³ = 0

x (4 - x²) = 0

So , this will give us two equations which are ,

x = 0

and

4 - x² = 0

or

x² = 4

x = ± 2

So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.

Thus , the solutions will be x = -2, 0, 2.

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Monthly Water Bills
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
Write the formula for the mean water bill for the entire year using sigma notation.

Answers

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

What is the sigma notation?

To depict a series in a succinct format, summation or sigma symbols can be employed. The sum is denoted by the Greek capital letter ∑, The series 4+8+12+16+20+24 has the formula 6∑n=14n. As n increases from 1 to 6, the statement is read as the total of 4n.

What is the purpose of sigma notations?

Summation notation (also known as sigma notation) allows us to express a large sum in a single phrase.

What is the definition of a math term?

The mean in mathematics and statistics is the average of a set of values. There are several methods for computing the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.

According to the given data:

 x₁       x₂     x₃     x₄      x₅      x₆      x₇     x₈      x₉     x₁₀     x₁₁     x₁₂

$40   $42  $40  $38  $48   $50  $58  $62  $56  $46   $44   $44

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

  [tex]\bar{x}[/tex] = (40+42+40+38+48+50+58+62+56+46+44+44)/12

     = 568/12

     = 47

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

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One of two supplementary angles measures 6 degrees less than twice
the other. How large are the angles?

Answers

Answer:

adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .

A sample of n=225 scores has =103 and s2 =16. what is the sample standard deviation?

Answers

Based on the calculations, the sample standard deviation is equal to 4.

What is a z-value?

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

[tex]Z=\frac{\bar x\;-\;u}{\delta}[/tex]

Where:

x is the sample mean or observed data.u is the mean.δ is the standard deviation.

In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:

Note: Variance, δ² = 16

Taking the square root of the variance, we have:

Standard deviation, δ = √16

Standard deviation, δ = 4.

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Complete Question:

A sample of n=225 scores has [tex]\bar x[/tex] = 103 and δ² = 16. What is the sample standard deviation?

there is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?

Answers

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.

Answers

The exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × [tex]10^5[/tex]

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

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"If PQ+ RS = PS and RS = XY, then PQ + XY = PS"




Please
Help

Answers

Answer:

Substitution property.

Step-by-step explanation:

The substitution property is just like saying, "If a variable, b, equals c, then b will be substituted for c, and it goes for c being substituted as b, too."

➲ Hope this helps.

Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6

Answers

Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

What is the area of the shades region below

Answers

Answer:

243m²

Step-by-step explanation:

work out 18x18=324

work out 9x9=81.

324-81= 243

The Munchery Restaurant advertises that you
can have a different lunch combination every
day of the year. They offer 12 different kinds
of soups, 6 different sandwich meats and 4
different kinds of bread. Is their claim valid?
Explain.
brosse sit

Answers

There of  288 different kinds of  lunch combination .

What is combination ?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

The Munchery Restaurant advertises that you can have a different lunch combination every day of the year.

types of soups  =  12

types of sandwich = 4

types of bread = 4

find the number of combinations we multiply all the possible types we have

Number of combinations = 12 × 6 ×  4  =  288

There of  288 different kinds of  lunch combination .

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2³-2"=29
n=
Find the value of n

Answers

Answer:

[tex]2 + 2 + 2 - 2 = 29[/tex]

Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.
+
A.
B.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
N N
C.
D.
finance
SURPRISE!
Here's a $10
financet
Instant Cred

Answers

Answer:

b , d

Step-by-step explanation:

Please help!!

Here are Stages 1-4.

What stage will have closest to 1,000,000,000 circles?

Use a calculator if it helps you with your thinking.

Answers

Answer:
1,073,741,824

Explanation:
2, 4, 8, 16
Multiplying by 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1,024
1,024 x 2 = 2,048
2,048 x 2 = 4,096
4,096 x 2 = 8,192
8,192 x 2 = 16,384
16,384 x 2 = 32,768
32,768 x 2 = 65,536
65,536 x 2 = 131,072
131,072 x 2 = 262,144
262,144 x 2 = 524,288
524,288 x 2 = 1,048,576
1,048,576 x 2 = 2,097,152
2,097,152 x 2 = 4,194,304
4,194,304 x 2 = 8,388,608
8,388,608 x 2 = 16,777,216
16,777,216 x 2 = 33,554,432
33,554,432 x 2 = 67,108,864
67,108,864 x 2 = 134,217,728
134,217,728 x 2 = 268,435,456
268,435,456 x 2 = 536,870,912
536,870,912 x 2 = 1,073,741,824

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

What is the circle?

A circle is a round-shaped figure that has no corners or edges.

In geometry, a circle can be defined as a closed, two-dimensional curved shape.

So, the calculation is:-

Now, Multiplying by [tex]2[/tex]

[tex]2 * 2 = 4[/tex]

[tex]4 * 2 = 8[/tex]

[tex]8 * 2 = 16[/tex]

[tex]16 * 2 = 32[/tex]

[tex]32 * 2 = 64[/tex]

[tex]64 * 2 = 128[/tex]

[tex]128 * 2 = 256[/tex]

[tex]256 * 2 = 512[/tex]

[tex]512 * 2 = 1,024[/tex]

[tex]1,024 * 2 = 2,048[/tex]

[tex]2,048 * 2 = 4,096[/tex]

[tex]4,096 * 2 = 8,192[/tex]

[tex]8,192 * 2 = 16,384[/tex]

[tex]16,384 * 2 = 32,768[/tex]

[tex]32,768 * 2 = 65,536[/tex]

[tex]65,536 * 2 = 131,072[/tex]

[tex]131,072 * 2 = 262,144[/tex]

[tex]262,144 * 2 = 524,288[/tex]

[tex]524,288 * 2 = 1,048,576[/tex]

[tex]1,048,576 * 2 = 2,097,152[/tex]

[tex]2,097,152 * 2 = 4,194,304[/tex]

[tex]4,194,304 * 2 = 8,388,608[/tex]

[tex]8,388,608 * 2 = 16,777,216[/tex]

[tex]16,777,216 * 2 = 33,554,432[/tex]

[tex]33,554,432 * 2 = 67,108,864[/tex]

[tex]67,108,864*2 = 134,217,728[/tex]

[tex]134,217,728* 2 = 268,435,456[/tex]

[tex]268,435,456 * 2 = 536,870,912[/tex]

[tex]536,870,912* 2 = 1,073,741,824[/tex]

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

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In Maryland, The sales tax rate is 6%. What is the tax, in dollars and cents, on a $32.74 purchase? Round your answer to the nearest cent.

Answers

Answer:

answer is, 1.96, 32.76%6=1.96

Answer:

Step-by-step explanation:

$32.74 x 6% = $34.70

$1.96 for specifics, rounds to $2.00

As the degrees of freedom increase, the t distribution approaches the _____ distribution. a. exponential b. p c. normal d. uniform

Answers

As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

What is the degrees of freedom (DF)?

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

What is a normal distribution?

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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The diagram shows three lines with some marked angle measures.
?
?
70°
?
?
53°
?
Find the missing angle
measures marked with
question marks.

Answers

The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

How to determine the measures of the missing angles of a geometric system

In this question we have a geometric system generated by three lines, where two lines pass through the first lines and four angles are generated on each intersection. The measures of the missing angles can be found by the following concepts:

Vertical angles - Two angles opposite to each other have the same measure.Supplementary angles - Two angles adjacent to each other that a total measure of 180°.

The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

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AP STATS.
does anyone know how to divide these and calculate frequency?

Answers

Answer:

class:11-20

21-30

31-40

.

.

.

81-90

Step-by-step explanation:

this is a super difficult math worksheet for me so please help ASAP

Answers

Answer:

Step-by-step explanation:

function notation

1) -13

2) -4

3) 7

4) 23

5) 13

6) -4

7) 14

8) -1

9) 15

10) 0

function operations

1) -3x^2 + 11x -4

2) 6x - 12

3) 3x^2 - 2x + 5

4) x^2 - 4x + 5

5) 27x^2 - 32x

6) 2x^5 + 4x^4 - 5x^3 - 10x^2

7) -6x^4 + 8x^3 + 15x^2 - 20x

8) 3x^4 - 2x^3 - 16x^2

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:y=-3, x=6

Step-by-step explanation:

Answer:

x=6 y=-3

Step-by-step explanation:

please help i will give out brainlist

Answers

Based on the definition of supplementary angles:

x = 5

The measure of angle 6 = 30°

What are Supplementary Angles?

If two angles are supplementary, when added together, their sum will equal 180 degrees.

We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.

Hence, we would have the following equation:

m<5 + m<6 = 180

Substitute

40x - 50 + 5x + 5 = 180

Add like terms

45x - 45 = 180

45x = 180 + 45

45x = 225

45x/45 = 225/45

x = 5

The measure of angle 6 = 5x + 5 = 5(5) + 5

The measure of angle 6 = 30°

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a pesticide manufacturer is developing a new type of organic pesticide for a particular plant. to study the effectiveness of the new pesticide, a large sample of young plants is collected. the sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. one of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. the plants are inspected regularly over a 3 month period and the results are recorded for comparison.

Answers

According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.

In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.

What are matched pair experiments.?

Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.

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Help with problem 20 please​

Answers

The rate of change will be 0.074 grams per year.

How to calculate the rate?

The change in hydrocarbon will be:

= 3.4 - 0.8

= 2.6

The number of years will be:

= 2007 - 1972

= 35

Therefore, the rate will be:

= Change in hydrocarbon / Years

= 2.6 / 35

= 0.074 grams per year.

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consider a little league team that has 13 players on its roster. a. how many ways are there to select 9 players for the starting lineup? b. how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters? c. suppose 6 of the 13 players are left-handed. how many ways are there to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players?

Answers

There are 715 ways to select 9 players for the starting lineup.

Permutation is used whenever there is arrangement or where order is important . denoted by [tex]P(n,r)=\frac{n!}{(n-r)!}[/tex]

n= no of item  , r = no of items to be arranged.

Combination is used when there is selection . denoted by[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

n=no of item  , r= no of item to be selected.

Part (a)

In the given question

we have to select 9 players out of 13 player , combination will be used

[tex]C(13,9)=\frac{13!}{9!*(13-9)!}=\frac{13*12*11*10*9!}{9!*4!} =\frac{13*12*11*10}{4*3*2}[/tex]=715 ways.

Part(b)

In this part we have to find how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters.

Since the batting order is important , permutation will be used.

[tex]P(13,9)=\frac{13!}{4!} =\frac{13*12*11*10*9*8*7*6*5*4!}{4!} =13*12*11*10*9*8*7*6*5[/tex]

=259459200 ways.

Part(c)

In this part we have to do selection of  3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

Since order is not important Combination  will be used.

To select 3 left handers from total 6 left handers = C(6,3)

& to select 6 positions of left handers from remaining 7 right handers=C(7,6)

No of ways of selection = C(6,3)*C(7,6)

[tex]=\frac{6!}{3!*(6-3)!} *\frac{7!}{6!*(7-6)!} \\ \\= \frac{6!}{3!*3!} *\frac{7!}{6!*1!} \\ \\[/tex]

On solving further we get

[tex]= \frac{7!}{3!*3!} =\frac{7*6*5*4*3!}{3!*3*2*1} =7*5*4=140ways[/tex]

Therefore ,(a)There are 715 ways to select 9 players for the starting lineup.

(b) there are 259459200 ways to to select 9 players for the starting lineup and a batting order for the 9 starters and 140 ways .

(c)there are 140 ways to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

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Which built-in data type stores only whole numbers? a. whole b. number c. float d. int

Answers

The built-in data type that stores only whole numbers is int data type

Built-in data types are the data  types used to declare and store the variables in the program, They are also known as primary data types

Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.

Here,

Here the condition is a built-in data type stores only whole numbers

So, the int data types satisfy these conditions

Hence, the built-in data type that stores only whole numbers is int data type

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How do you find the volume of an irregularly shaped object? What new technologies helped create skyscrapers Why could the British restriction of trade be considered a violation of natural rights?Restrictions interfered with individuals pursuit of economic self-interest.Restrictions sacrificed trade that would have benefited the colonies for the Crowns benefit.Restrictions inhibited the natural right to property by denying colonists access to goods.Restrictions denied colonists the right to conduct business with foreign powers. high-achieving nursing students were found to have studied in small groups, attended class 100% of the time, took frequent rest breaks during study sessions, and ate a balanced diet for 1 week before the examination. what type of audit provided data about the students preparation? with superficial cortical strokes, which deficits may signal an impact on higher cognitive function? Use "despertarse" in the correct tense in the following statment.Yo casi siempre _______ a las siete de la maana, pero hoy _______ a las nueve y media porque tambin estuve en el concierto de Cumbancha anoche. What is the following product?47 47 47.47 A box of book has a mass of 4.1 kilograms for every meter of its height . Convert your this ratio into pound per inch Daniel has a candy jar with 32 jellybeans. He loves jelly beans and is trying not to eat them all at once. Every time he reaches in to the jar, he removes exactly half of the jelly beans. How many times does he reach into the jar so that he only has 1 jellybean left in the jar after he removes half? why does venus have the largest gravitational attraction of the inner planets? What is the total concentration of phosphate ions (in M) in a 2. 1 M aqueous solution of magnesium phosphate? Which transition words show a relationship between two ideas? Due toLater; meanwhileOn the other handNevertheless Find the length of segment MN. Round to the nearest tenth.Write your response in the answer box.-N(-1, 2)yM(-4,-4) Find the coordinates of the midpoint of a segment with the given endpoints(-4, -7), (12, -6) the hawaii visitors bureau collects data on visitors to hawaii. the following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in june 2003. this trip to hawaii is my: 1st, 2nd, 3rd, 4th, etc. the primary reason for this trip is: (10 categories including vacation, convention, honeymoon) where i plan to stay: (11 categories including hotel, apartment, relatives, camping) total days in hawaii How do the methods employed by sex researchers contrast with those used by other social scientists? How was Florida affected by Hamilton Disston's plan to drain and restore the wetlands?New tourism destinations were created throughout the middle of the state.Northerners were convinced that they should settle elsewhere.More habitable land was created for agriculture practice and railroad development.More canals were created, which led to more flooding throughout the state than before. Nucleic acids are founds in prokaryotes without a nucleus. An example isplantsfungianimalsbacteria One student made the incomplete diagram shown below to represent the relationship between sediment, igneous rocks, and metamorphic rocks: three ovals, labeled from left to right, metamorphic rock, sediment, and igneous rocks respectively. Which of these is the correct next step to complete the diagram? Put an arrow labeled heat and melt, pointing from igneous rocks to sediment. Put an arrow labeled deposition and lithification, pointing from metamorphic rock to sediment.------------------------------------------------------------------ Put an arrow labeled cools and crystallizes, pointing from igneous rocks to sediments. Put an arrow labeled heat and pressure, pointing from sediment to metamorphic rock. Explain how the compression factor varies with pressure and temperature and describe how it reveals information about the intermolecular interactions in real gases.