After going through this module, you are expected to:
1. Describe principal roots and tells whether they are rational or irrational
2. Determine between what two integers the square root of a number is.
3. Plot irrational numbers on the number line.
1
Square Root
WEEK
3
6
Count the total number of squares of the
chess board. Prove that it has a total of 204
squares.
D
Recall that a rati
Answers
Answer:
See below
Step-by-step explanation:
Number of squares:
1x1 squares = 8*8 2x2 squares = 7*73x3 squares = 6*64x4 squares = 5*55x5 squares = 4*46x6 squares = 3*37x7 squares = 2*28x8 square = 1Total number:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =204squares numbers:
1x1 squares = 8*8
2x2 squares = 7*7
3x3 squares = 6*6
4x4 squares = 5*5
5x5 squares = 4*4
6x6 squares = 3*3
7x7 squares = 2*2
8x8 square = 1
number total:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
204
Related Questions
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 22 years.
Answers
Answer:
The sample size is [tex]n = 68 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5 \ years[/tex]
The standard deviation is [tex]\sigma = 22[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 22 }{5} ] ^2[/tex]
=> [tex]n = 68 [/tex]
What are the zeros of this function?
Answers
PLS hurry You are playing a video game. For each diamond you collect, you earn 125 points. You also earn 200 bonus points by completing the level in less than 2 minutes. You need to earn more than 2700 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answers
Answer:
20 diamonds
step-by-step explanation:
2700-200=2500 divided by 125=20
so 20 diamonds
Please look at the picture;;
I thought it was Y=7x-48 and I’m not sure what to do
Answers
9514 1404 393
Answer:
y = 7x -48
Step-by-step explanation:
Your answer is correct. You just need to write it in the box without the "y =".
__
The 2-point form of the equation for a line is ...
y = (y2 -y1)/(x2 -1x)(x -x1) +y1
y = (8 -(-6))/(8 -6)(x -6) +(-6)
y = 14/2(x -6) -6
y = 7x -42 -6
y = 7x -48
You probably want your answer to look like ...
[tex]y=\boxed{7x-48}[/tex]
Gabrielle found a recipe for soup that uses 5/6 cup of milk. If she uses half the recipe how many cups of milk should she use ?
Answers
Answer:
5/12 cups of milk.
Step-by-step explanation:
I may have misunderstood the question, but the answer is fairly simple. Let me know if I got it right. Hope I could help :)
i need help finding x
Answers
Answer: x = 6
ΔABC is a isosceles triangle at A
=> m∠B = m∠C
=> 4x + 56 = 80
⇔ 4x = 80 - 56 = 24
⇔ x = 24/4 = 6
Step-by-step explanation:
3x-1/4y=-2 solve for y
Answers
Answer:
y= 1/4(2+3x)
Step-by-step explanation:
The solution of the expression for the value of y is y = 8 + 12x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-
3x-1/4y=-2
-(1/4)y = -2 - 3x
y = 4 ( 2 + 3x)
y = 8 + 12x
Therefore, the solution of the expression for the value of y is y = 8 + 12x.
To know more about an expression follow
https://brainly.com/question/723406
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PLEASE HELP ME 10 pts lol
Answers
Answer:
-2 83/100 :))))))))))))))
Find the gcf for 18 36 81
Answers
Answer:
9
Step-by-step explanation:
Factors of 18 : 1,2,3,6,9,18
Factors of 36: 1,2,3,4,6,9...
Factors of 81: 1,3,9...
If F(x) =
2x-3/5
which of the following is the inverse of F(x)?
Answers
let the f(x) be x
2x-3/5=y
or,2x-3= 5y
or, x= 2y-3/5
inter changing the relation of x and y
x= 2y-3/5
:. f(x)= 2x-3/5
Step-by-step explanation:
2y-3/5 is the inverse of f(x)
One year after you buy a tree, it is 12 feet tall. Each year after you buy the tree, it grows 4 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answers
Answer:
5 years
Step-by-step explanation:
Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.
28 ft. = 8 ft. + 4x ... subtract both sides by 8
20 ft. = 4x ... divide both sides by 4
5 years = x
Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.
What is the height of a right triangle?
Answers
Answer:
b×h/2 b=base h-height so h=2 * area /b.
What is the value of x in the equation 2(8%+4)-6+ 2%= 3(4%+3)+1
O 1
O 3
04.
O 6
Answers
Answer:
20 feet
Step-by-step explanation:
The speed of horse A is
The speed of horse B is
We define the speed as distance divided by time.
Given that the horses started the race at the same time (and assuming in the same position) we can write :
After 5 seconds for Horse A :
After 5 seconds, Horse A will have traveled 160 feet
After 5 seconds for Horse B :
After 5 seconds, Horse B will have traveled 140 feet
The difference between the distances :
is how much farther Horse A will have traveled.
After 5 seconds, The Horse A will have traveled 20 feet farther than the Horse B.
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Step-by-step explanation:
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answers
Answer:
the probability is 2 out of 4
Step-by-step explanation:
EXPRESAR CADA UNO DE LOS VALORES NUTRICIONALES DE LA NARANJA COMO FRACCIÓN. cuál es el valor nutricional total de la naranja
Answers
Answer:
This question is incomplete. You need to specify each of the nutritional values of the orange which are the following:
Fat: 0.2 Carbohydrates: 21.6 Sugars: 17.2 Proteins: 1.7 Water: 159.6 Dietary Fiber: 4.4Step-by-step explanation:
With this information we know that the total traditional value of an orange is 204.7 grams.
To transform each of these values into a fraction, we must place the same figure without decimals in the numerator and divide by a multiple of 10, with as many zeros as decimals the figure had and then we take the figure to its minimum expression
Fat 0.2 = 2/10 = 1/5 Carbohydrates = 21.6 = 216/10 = 108/5 Sugars = 17.5 = 175/10 = 35/2 Proteins = 1.7 = 17/10 Water = 159.6 = 1596/10 = 798/5 Dietary fiber = 4.4 = 44/10 = 22/5
This brings us to the following total nutritional value of the orange:
Total Nutritional Value = 204.7 = 2047/10
a) 5x/2+ 1 = 11
b) 2x/7- 3 = 2
Answers
David drove 172 miles in 4 hours. If he drove at a constant rate, how far did
he travel in one hour?
Answers
I need to know if this is correct
Answers
i thinks its correct.
George and five of his friends are taking a trip to new York they decide to split the cost of the tolls equally if the total cost of the tolls is 21 how much would it be
Answers
Convert 245 yards to inches.
Answers
Answer:
8820
Step-by-step explanation:
Answer:
245 yards = 8820 inches
Step-by-step explanation:
multiply the length value by 36
Answer this one please and get free thanks if ur correct!
Answers
Answer: Option f i believe
Step-by-step explanation:
♡ The Question ♡
- Which of the following expressions represents the prime factorization of 196?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ The Answer ☆
- F. 2^2 x 7^2
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
Your positive integer in this is 196, the prime factorization is 2 x 2 x 7 x 7 which in Exponential form is 2^2 x 7^2. Prime[1] = 2, Prime[4] = 7!
This leads to your answer being the first choice, F! Hope this helped!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ Tips ☆
- No tips provided!
Given d=a and bcd=bca prove abc=dbc
Answers
Answer:
I'm dead that not even a question
Solve
2x = -16
a.-8
b.8
c.1/8
d.-1/8
Answers
Answer:
A
Step-by-step explanation:
The correct answer will be A
Have a great day
NEED HELPPPPPPPPPP !
Answers
Answer:
5
Step-by-step explanation:
trust me im the smartest guy in the world
what fraction breaks 48 into 8 equal pieces
Answers
Answer:
48/6 = 8
Step-by-step explanation:
13y-2x=3
slope intercept
Answers
Answer:
World shown below!
Step-by-step explanation:
Slope-intercept form: y = mx + b
13y - 2x = 3
Add 2x to both sides;
13y = 2x + 3
Divide both sides by 13;
[tex]y = \frac{2}{13}x+\frac{3}{13}[/tex]
There is triangle ABC triangle XYZ is similar to ABC scale factor 1/4
Answers
Answer:
The side that is labeled as 7 is 28 the side that is labeled as 5 shoud be 20 the side that is labeled as 4 should be 16
Step-by-step explanation:
Sorry I cant take a screen shot with my computer but here is the explanation it says that the scale factor is 1/4 so I just did 1/4 ÷ 7,5,and 4
What value does point P represent on the number line given?
–3.9
–3.1
–2.9
–0.3
Number line ranging from negative five to five, with the point P labeled between negative two and three
Answers
The scale for a map to actual distance is 2 cm to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 4.5 cm. What is the actual distance in miles between Los Angeles and Las Vegas?
Answers
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
[tex]\frac{100 miles}{2 cm} *4.5 cm =225 miles[/tex]
How much sales tax will be charged at Store B?
Answers
Answer:
7 % $94.50(SALES TAX) Question only asks for the SALES TAX THOUGH
Step-by-step explanation:
$1350.00 x .07 =$94.50
$94.50 is your sales tax on B
$1444.50 (total) x 15% gratuity is $1444.50 x .15 = $216.68
$1444.50 + $216.68 =$1661.18
$1661.18 x .02 =$33.22
$1661.18 + $33.22 = $1694.40 Total cost of your computer repair
