Period Kuta Software - Infinite Algebra 2 Compound Inequalities Solve each compound inequality and graph its solution. Name Sarandha cedules Date 220 21 1) n+1-3 or 4n

The order of the values using the basic unit of meters from smallest to largest. is: 109000 mm < 2.6 km < 41.7 hm

What are the units of measurement of distance or length?

Distance is the gap between any two points under consideration.

The basic unit for measuring distance is the meter.

There are larger as well as smaller units for measuring length or distance which are based on the unit of meter.

The units are as follows:

millimeter, mm = 0.001 m

centimeter, cm = 0.01 m

decimeters, dm = 0.1 m

meter, m = 1 m

kilometer, km = 1000 m

hectometer, hm = 100 m

Now to compare the given quantities making the units same as two quantities can only be compared only when there units are same :

Considering the given values;

2.6 km = 2600 m

109,000 mm = 109 m

41.7 hm = 4170 m

Therefore, after comparison arranging the quantities in order from smallest to largest is 109000 mm < 2.6 km < 41.7 hm

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EXPLANATION

Since the figure is like a pentagon, we need to add the interior angles in order to get the needed angle.

The first part of the figure is composed of a square with two right angles of 90 degrees and two angles of 135, making a total of 90+90+135+135 = 450 degrees.

The left needed angle should add a total of 540 degrees, by the Sum of Interior Angles of a Pentagon Theorem, as follows:

450 + bottom angle = 540

Subtracting -450 to both sides:

bottom angle = 540 - 450

Subtracting angles:

bottom angle = 90 degrees

In conclusion, the value of the bottom angle is 90 degrees.

Two possible diagrams of the triangle are shown below

To find angle B in each triangle, we would apply the law of sines which is expressed as

a/SinA = b/SinB = c/SinC

For either of the triangles, by applying the sine law, we have

33/Sin B = 32/Sin 64

By crossmultiplying, we have

32 SinB = 33 Sin 64

Sin B = (33 Sin 64)/32 = 0.9269

We would find angle B by finding the inverse of sine 0.9269

Thus,

B = Sin^-1(0.9269) = 68

This is an acute angle. B can also be an obtuse angle. Greater than 90 but less than 180 degrees). Thus, another value for B is

hello

to solve this question, we have to use trigonometric ratios and in this case, it was specified to use tangent

from the image above, we can see that we have the value of angle and opposite and we need to look for adjacent

trigonometric ratio is given as SOH CAH TOA

now, let's use the formula of tangent to solve this problem

from the calculations above, the value of x is equal to 20.48

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

We have to calculate the mean absolute deviation (MAD) for these temperatures.

We can express the MAD as:

So first we have to calculate the mean of the sample. We can do this as:

Now we can calculate the MAD as:

Answer: The MAD is approximately 3.3.

ANSWER

x = 21.6

EXPLANATION

We have that:

c = 23.2

To be able to solve this, we must first find angle

The sum of angles in a triangle is 180 degrees.

This means that:

=> 52 + 70 + 122+ =>

Sine Law says that the ratio of angle and side opposite the angle for any triangle equal.

This means that:

So, we can say that:

That is the value of x.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

To graph, we calculate the intercepts in each equation to then draw the straight line corresponding to each equation, like this:

Now we graph:

ANSWER

The circumference doubles

EXPLANATION

Let the radius of the circle be r and the circumference be C.

The circumference of a circle is given as:

If the radius is doubled, the radius becomes:

The circumference now becomes:

Therefore, the circumference doubles when the radius is doubled.

Given the rational function;

To determine the constraint for this function, we shall set the denominator equal to zero;

This means the equation does not exist when x = 0, and when x = 2.

ANSWER:

The correct answer is option C.

Answer:

yes it's is shown in the diagram below and prosperity more than your expectation for me too anymore I just

Percentage of a number

Find a number which

its a 100% percentage

henW

When 232 is 290%

Then find

X = (100%/290)• 232

Divide 232/29 = 10% = 8 exactly

Now multiply by 10 = 10• 8 = 80

Then 100% = 80

ANSWER

EXPLANATION

h. We want to find the volume of the rectangular prism given.

The volume of a rectangular prism is given as:

where L = length

w = width

h = height

Therefore, we have that the volume of the prism is:

Therefore

Answer:

hola comasa due when 123 dfosb971 24

Given:

Few data is given

Required:

To calculate which option is correct

Explanation:

157+ ml = 6 means a rest area built along the highway exactly 6 miles away from milepost 57.Therefore this is the correct answer

Required answer:

Option D

The better deal between the offer at Mystic Bank and Four Rivers Bank is the deal at Mystic Bank.

In order to determine which bank has the better offer, the future value of the investment options have to be determined.

The future value of an investment is a function of the amount investment, the number of compounding, the years of the investment and the interest rate.

When an investment is compounded semi-annually, it means that it grows exponentially twice in a year. When an investment is compounded quarterly, it means that is grows exponentially four times in a year.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

Interest rate at Mystic bank = 10% /2 = 5%

Interest rate at Four Rivers Bank = 8% / 4 = 2%

Future value of the investment at Mystic bank :

$10,000 x (1.05)^(2 x 4) = $14,774.55

Future value of the investment at Four Rivers Bank :

$10,000 x (1.02)^(4 x 4) = $13,727.86

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We will get 406 after multiplication .

What does multiply mean?

   58 * 7 = 406

We will get 406 after multiplying .

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Answer:

  (c)  8, 12, 16

Step-by-step explanation:

You want to identify the side lengths that are proportional to lengths 4, 6, and 8.

Reducing the ratios to lowest terms, we can compare them:

Side lengths 8, 12, 16 will form a triangle similar to ∆DEF.

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Answer:

The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.

Answer:

The second and third one

Step-by-step explanation:

You can write the relation between distance and time, as follow:

y = kx

where y is the distance, x is the time and k is the constant of proportionality.

k can be obtained with the given information, as follow:

k = 90/30 = 3

Then, the equation of the relationship is:

y = 3x,

for a time of 10 seconds, the distance traveled is:

y = 3(10) = 30

Hence, the answer is:

y = 3x , 30 feet

The question wants the "lowest common multiple" of 6 and 9, so first, lets find some of the miltiples of 6 and 9:

We can see that 18 is a commom multiple of 6 and 9, and is also the smallest, so the lowest common multiple of 6 and 9 is 18. So the least number of gift bags and bows that Rachel can buy is 18.

The closest distance or the number of miles Teri ran is equal to 5 miles.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that Teri ran 8 kilometers.

It is also given that , 1 mile is approximately equal to 1.6 kilometers.

This is a question of unitary method. We know that value of one unit is given as 1 mile is equal to 1.6 kilometers approximately. We know have to calculate the no. of miles Teri ran , by converting 8 kilometers to miles.

So ,

1 miles = 1.6 kilometers

This implies :

8 kilometers = 8 / 1.6 miles

or

8 kilometers = 5 miles

or

8 kilometers is approximately equal to 5 miles.

Therefore , the closest distance or the number of miles Teri ran is equal to 5 miles.

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Answer:

  12.  68%

  13.  50%

  14.  0.15%

  15.  8 students

Step-by-step explanation:

Given a normal distribution with mean 20 and standard deviation 5, you want several probabilities based on the empirical rule.

The empirical rule tells you the percentages of a normal distribution that are within 1, 2, or 3 standard deviations of the mean. They are ...

Wait times between 15 and 25 are within 20±5, so within 1 standard deviation of the mean. The percentage of students waiting 15–25 minutes is 68%.

The mean of the distribution is 20, which is its line of symmetry.

50% of students will wait less than 20 minutes.

35 is 3 standard deviations above the mean, so the fraction in this group is half of the difference between 1 and 99.7%.

0.15% of students will wait more than 35 minutes.

Of 5300, the number waiting more than 35 minutes is ...

  0.15% × 5300 = 7.95 ≈ 8

About 8 students will wait more than 35 minutes.

__

Additional comment

These values are based on the empirical rule, as required by the problem statement. The actual number for P(Z>3) is about 0.0013499 (0.13%), and the number of students is about 7.15 ≈ 7. That is, the result using the empirical rule is slightly different than what you get using a calculator, spreadsheet, or table.

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A)

In order to check this sentence, we need to convert the value from foot to yard.

Knowing that 1 yard is equal 3 feet, we have that:

So Debbie's affirmation is incorrect, therefore we disagree.

B)

First we need to calculate the area of the table cloth.

Converting the length to foot, we have:

Now, calculating the area (which is the product of the length and the width), we have:

If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:

So the cost is $30.

If an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours,

hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per hour

The slope (rate of change) of a line (m) is given by:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope of the line , [tex]m = \frac{-20 - 0}{10 - 0}[/tex]

Slope of the line is - 2 meters per hour

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope of the line, [tex]m = \frac{-70 - 0}{10 - 0}[/tex]

Slope of the line is -7 meters per hour

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope of the line, [tex]m = \frac{-35 - 0}{10 - 0}[/tex]

Slope of the line is -3.5 meters per hour

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope of the line, [tex]m = \frac{-3.5 - 3.5}{10 - 0}[/tex]

Slope of the line is 0 meters per hour.

Therefore, if an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

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The total surface area Paul is required to paint is 36 yard square.

He needs to buy paint to cover all outside surfaces of his shed .

2 sides of shed are rectangles with a base of 12ft and a side of 6 ft.

Therefore,

area of a rectangle = lw

where

area of the rectangle = 12 × 6

area of the rectangle = 72 ft²

The rectangle are two.

Hence, area of the two rectangular faces = 72 + 72  = 144 ft²

The other two sides are squares with sides of 6 ft.

Therefore,

area of the two squares = 6² + 6² = 36 + 36 = 72 ft²

The roof consists of four triangles,

2 of the triangles have a base of 6 feet and a height of 6 feet.

Therefore,

area of the two triangles = 2 (1 / 2 × 6 × 6) = 36 ft²

The other two triangles have a base of 12 ft and a height of 6 ft.

area of the other triangle = 2(1 / 2 × 12 × 6) = 72 ft²

Hence,

total area the paint will cover = 72 + 36 + 72 + 144 = 324 ft² = 36 yard²

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A line is said to bisect an angle if it divides it in two equal parts.

Since the segment OB bisects the angle AOC, then the angles AOB and BOC have the same measure.

Therefore, the complete statement is:

Denominator has been factorized on the right.

Now we need to write this fraction as a sum of two fraction.

when x = 8 we have following

Similarly when x =-4 A = 17/12 these are the constants

to convert Fahrenheit to Celcius we have to apply the next formula:

C°= (F°-32) x 5/9

Replacing:

C = (103-32)x 5/9

C = 71 x 5/9

C = (71 x5)/9 = 355/9