Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


√(12) - √(27)

Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

Answer:

[ - 2, - 7 ]

Step-by-step explanation:

Answer:

4 years

Step-by-step explanation:

$42 interest every year
168/42 = 4
Let me know if this helps

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer: x = 5, y = 7

Step-by-step explanation:

1. First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

2. Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

3. Add equations:

y = 7

4. Then determine x by plugging y back into the first equation y = x + 2:

x = 5

4√2 +_√32 2√2 is equal to 4√2.  To compute the given expressions using modular addition, we need to perform addition modulo the given modulus.

Let's solve each exercise step by step:

7 +_11 9

To perform modular addition modulo 11, we add the numbers and take the remainder when divided by 11:

7 + 9 = 16

Now, we take the remainder when 16 is divided by 11:

16 mod 11 = 5

Therefore, 7 +_11 9 is equal to 5.

3/4 + _2 15/11

To perform modular addition modulo 15/11, we add the fractions and take the remainder when divided by 15/11:

3/4 + 15/11 = (33/44) + (60/44) = 93/44

Now, we take the remainder when 93/44 is divided by 15/11:

(93/44) mod (15/11) = (93/44) - (6/4) = (93/44) - (33/22) = (93 - 66)/44 = 27/44

Therefore, 3/4 +_2 15/11 is equal to 27/44.

5п/3 + _2л бл/5

To perform modular addition modulo 2п, we add the angles and take the remainder when divided by 2п:

5п/3 + 2п = (10п/3) + (6п/3) = 16п/3

Now, we take the remainder when 16п/3 is divided by 2п:

(16п/3) mod 2п = (16п/3) - (6п/3) = 10п/3

Therefore, 5п/3 +_2л бл/5 is equal to 10п/3.

4√2 +_√32 2√2

To perform modular addition modulo √32, we add the numbers and take the remainder when divided by √32:

4√2 + √32 = (4√2) + (4√2) = 8√2

Now, we take the remainder when 8√2 is divided by √32:

(8√2) mod √32 = (8√2) - (4√2) = 4√2

Therefore, 4√2 +_√32 2√2 is equal to 4√2.

Please note that the notation "+_a b" is used to represent modular addition modulo a, where b is the number being added.

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Answer:

6/20 as a decimal is 0.3 i hope i helped you

Answer: 21√10

Step-by-step explanation:

Answer:

Answer: 21√10

Or Decimal: 66.41

Answer:

2x-1+3

2x+2 <---- The real answer

Step-by-step explanation:

Hope this helped!!

The best measure to describe the center of this data set is the median

Given that

Dataset = 0 0 1 3 14 1 2 2 0 1 2 1

When it comes to describing the center of a data set, there are several measures of central tendency available.

However, the best measure to describe the center of the given pet ownership data set is the median.

The median is the value that separates the data set into two equal halves. It is less affected by outliers compared to the mean, which can be skewed by extreme values.

In this case, the outlier is 14 and the median of the data set is 2, which means that half of the students own two or fewer pets, and the other half owns three or more.

Therefore, the median accurately represents the typical pet ownership for the randomly chosen students.

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Answer:

44

Step-by-step explanation:

The mode will be a as it is the most in frequency.

Calculating 'a' by taking the mean

Answer:

m = 3

Step-by-step explanation:

Since model ABCD has all equivalent side lengths, QRST is the same way, just smaller.

(Not sure if this is right, just the way I learned it!)

The graph that models the piecewise function for the given situation is the first graph. That is option A.

Maximum limit is defined as the limit which is the largest possible level an object can get to.

Tom learnt that the cost for parking his car near the supermarket = $2 / 4 hours.

The time at which the maximum fee is reached = after 4 hours.

Therefore, from the chosen graph, the line started from $2 which is the parking charge.

After 4 hours the line stopped moving up but became parallel with line x, which shows the maximum fee limit has been attained.

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Answer:

Here we try the method of trial and error to find out if the equations have a common answer as zero

Step-by-step explanation:

Now,

(a) x²-4=0

(b) x²=-4

(c) 3x²+12=0

(d) 4x²=16

(e) 2(x-2)2=0

Here if we check the first equation i.e x²-4=0

Equating - 2²-4=4-4

=0

2²-4= 4-4

=0

So option (a) is true

Now x²=-4

Substituting, - 2²=4 & 2²=4

So here we get 4≠-4

Therefore, (b) is not true

Now 3x²+12=0

3(-2)²+12= 3(4)+12

=12+12= 24

3(2)²+12= 12+12

= 24

4x²=16

Substituting, 4(-2)²= 4(4)= 16

4(2)²= 4(4)= 16

So option (d) is also true

Now, 2(x-2)2=0

Substituting, 2(-2-2)2= 2(-4)2

4(-4)= - 16

2(2-2)2= 2(0)2

=4(0)=0

Here when we put x=-2, we get - 16

when we put x=2, we get 0

So the following equation is true only for x=2 and not x=-2

I hope this helps ;)

Answer:

The equation is y = x-2

The equation of the line will be y = x - 2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is,

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

From the given table consider the two points as,

( 14, 12 )

( 13, 11 )

The slope is calculated as,

\(m = \dfrac{12 - 14}{11-13}\)

m = 1

The y-intercept is calculated as,

y = mx + c

y = x + c

12 = 14 + c

c = -2

The equation of the line can be written as,

y = mx + c

y = x - 2

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Answer:

Dan has better gas mileage

Step-by-step explanation:

The mileage of Dan is 25 miles per gallon

In case of John, mileage is represents by equation

\(y=20x\)

where y is the gallons and x is miles

Here

\(\frac{x}{y}\) represents miles per gallon

Hence, mileage in case of john i.e miles per gallon

\(\frac{x}{y} = \frac{1}{20}\)

Dan has better gas mileage

In Question 10, to determine the year when Ryan's salary was highest in real terms, we need to adjust his earnings for inflation using the Consumer Price Index (CPI). Given the CPI values for 1970, 1980, and 1990, we can calculate the real value of Ryan's salary for each year and compare them.

In Question 11, we are asked to identify which item will be included in GDP. GDP measures the value of goods and services produced within a country's borders during a specific time period. We need to determine if the given options represent items that contribute to GDP.

In Question 13, we are discussing the problems with CPI calculations. CPI is used to measure inflation and changes in the cost of living. We need to identify the specific issues associated with CPI calculations.

Question 10: To determine the highest real salary, we need to adjust Ryan's earnings for inflation. We can do this by dividing his earnings in each year by the respective CPI value and then comparing the real values. By performing the calculations, we find that Ryan's salary was highest in 1970 when adjusted for inflation.

Question 11: In this question, option a (vegetables produced in the backyard for self-consumption) is not included in GDP as it represents non-market production for personal use. Option b (jewelry set bought from an antique store) is included in GDP as it involves a market transaction. Option c (rental value of owner-occupied houses) is not included in GDP as it is imputed and not a market transaction. Option d (purchase of a pre-owned car) is included in GDP as it involves a market transaction.

Question 13: The problem with CPI calculations includes both the substitution bias and unmeasured quality change. The substitution bias arises because CPI assumes constant consumption patterns and does not account for consumers' ability to substitute cheaper goods for more expensive ones. Unmeasured quality change refers to the difficulty of accurately capturing changes in the quality of goods and services over time in the CPI calculation. Therefore, the correct answer is that both the substitution bias and unmeasured quality change are problems with CPI calculations.

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Answer:

hi

Step-by-step explanation:

hi

Answer:

P=0.40b

Step-by-step explanation:

For every box(b) sold, the profit(P) will increase by 0.40.

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

Transformations that maps ∆ABC to ∆A''B''C'' is \(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)

A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.

Reflection about x - axes (x,y)→(x,-y)

Reflection about y - axes (x,-y)→(-x,-y)

combined reflection is reflection about origin.

\(A^{'}(5,-3) \\B^{'}(2,-3)\\\)

\(C^{'}(4,-1)\)

Shift upward by 1 unit and on right hand side by 3 units

(x,y)→(x+3;y+1)

=\(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)

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Answer:

x = -8

^

I

I

I

I

That is the correct answer

Answer:

2m²

Step-by-step explanation:

radius = circumference ÷ ( Pi ×2)

r = 15 ÷ ( 3.14 × 2)

= 2.388535032

rounded off = 2m²

Answer:

R 1440

Step-by-step explanation:

Given:-

Principal Amount = R 12000

Time = 1 year

Rate = 12% pa

The Interest can be calculated using the following formula:-

Interest = (Principal Amount * Rate * Time) / 100

Substituting the respective values:-

Interest = (12000 * 12 * 1) / 100

Interest = 144000 / 100

Interest = R 1440

So, Sam will pay an interest of R 1440

Find completion to question in comment section.

Answer:

D. One of the jellybeans that slipped out was orange and one was black

Step-by-step explanation:

We calculate the option with the highest probability of occurrence :

Total number of jellybean = 75

n(T) =75

n(Pink) = 8

n(red) = 22

n(Orange) = 17

n(green) = 8

n(white) = 6

n(black) = 4

We assume that the jelly beans must have slipped out one after the other.

Evaluating the options :

A.)

P(pink) and P(white)

8/75 * 6/74 = 0.0086486

B.)

P(green) and P(green)

8/75 * 7/74 = 0.0100900

C.)

P(white) and P(white)

6/75 * 5/74 = 0.0054054

D.)

P(orange) and P(black)

17/75 * 4/74 = 0.0122522

From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black

Maximum area to enclose a rectangular pasture with one side up against a river is equal to 500,000 square feet.

As given in the question,

Let 'l' be the length of the rectangular pasture

And 'w' be the width of the rectangular pasture

Condition:

One side of the pasture is up against a river

Perimeter of the rectangular pasture with one side up against river = l + 2w

⇒ 2000 = l + 2w

⇒ l = 2000 - 2w

Area of the rectangular pasture

=( 2000 - 2w )( w )

= - 2 ( w² - 1000w )

= -2( w² - 1000w + 250000 - 250000 )

= -2 ( w - 500 )² + 500, 000

Maximum area is at w = 500

Maximum area is 500,000

Therefore, the maximum area of the given rectangular pasture is 500,000 square pasture.

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Answer:

26 meters

Step-by-step explanation:

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2 (square root both sides)

26 = c

Answer:

Kathete +Kathete=Hypothenuse

24^2+10^2

576+100

=676

=26

unknown side lenght=26

Can I maybe be Brainliest.

have a nice day

Best regards

Answer:

https://faq.brainly.com/hc/en-us/articles/360014661139.

Step-by-step explanation:

The statement "The average height of an adult male is 5 feet 10 inches" is an example of a statistical claim. A statistical claim is a statement that involves describing or summarizing a group of individuals or objects in terms of a characteristic or attribute.

In this case, the average height of adult males is being described as 5 feet 10 inches. The term "average" implies that this measurement is based on a statistical calculation, such as the mean. The statement is presenting a generalization about the height of adult males, indicating that this measurement is the typical or common height.

However, it is important to note that individual heights may vary above or below this average. Statistical claims are often used to provide an overview or summary of data and can be found in various fields, including demographics, health, and social science.

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Answer:

The distributive property

Step-by-step explanation:

Nora essentially distributing the parts of the problem.

Please tell me if I'm wrong and I'll fix my answer.

Answer:

its the distributive property

Step-by-step explanation:

i took the

test