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dolphi86 [110]
2 years ago
7

(05) දෙන ලද ආයතනයක කෙටිකාලීන පිරිවැය ශ්‍රිතය පහත දැක් වේ.

Mathematics
1 answer:
makvit [3.9K]2 years ago
5 0

Answer:

???  can you rewrite it in English plz

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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
A recipe requires 2\tfrac{3}{4}2 4 3 ​ cups of milk for every \frac{1}{3} 3 1 ​ of a cup of flour. What is the ratio of cups of
exis [7]

Answer:

28 tablespoons of sugar

6 tablespoons of cocoa powder

Step-by-step explanation:

Malik is using a cookbook to make a recipe, but he can not find his measuring cups! He has, however, found a tablespoon. Inside the back cover of the cookbook, it says that 1 cup = 16 tablespoons.

Explain how he could use the tablespoon to measure out the following ingredients:

2 cups of flour

½ cup sunflower seeds

1¼ cup of oatmeal

Malik also adds the following ingredients. How many cups of each did he add?

28 tablespoons of sugar

6 tablespoons of cocoa powder

Use of the following representations is optional:

Tablespoons 16            

Cups 1            

5 0
3 years ago
Read 2 more answers
R Problem Old Faithful is a geyser located in Yellowstone Nation Park in Wyoming. It received the name "Old Faithful" by the Was
Tpy6a [65]

Answer:

Step-by-step explanation:

The first 6 rows of the eruptions data :

eruptions waiting

1 3.600 79

2 1.800 54

3 3.333 74

4 2.283 62

5 4.533 85

6 2.883 55

R code :

1. You can directly access the "Faithful" data in R without importing the data. The dataset faithful is present in the R or you can load the datasets. or use install the datasets.load. package

If you have the data in a text file, make sure all the columns and rows are separated by commas

Step 1: open notepad

Step 2: enter data with no spaces but only commas

Step 3: save the file as ‘faithful.txt’ on your Desktop

# Get R help

?read.table

# Import the data

rain<-read.table("C:/Users/YOUR-NAME/Desktop/faithful.txt", header = TRUE,

                  sep = ",")

Check the data

data("faithful") #Loading Faithful data

head(faithful, 6) #Reading first 6 rows of the data

8 0
3 years ago
Put these numbers in order from greatest to least.<br> -32/40 14/35 -1
olga nikolaevna [1]

Answer:  14/35, -32\40, -1

Step-by-step explanation:

4 0
3 years ago
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Which gives the prices in order, from least to greatest unit rate? Price B, Price A, Price C Price C, Price B, Price A Price C,
MArishka [77]

Answer:

Price B, Price A, Price C

Step-by-step explanation:

Look at the table showing different prices for oranges.

Prices for Oranges

Price A

$2.25 for 6

Price B

$1.30 for 4

Price C

$0.97 for 2

Which gives the prices in order, from least to greatest unit rate?

Price B, Price A, Price C

Price C, Price B, Price A

Price C, Price A, Price B

Price B, Price C, Price A

Price A

$2.25 for 6

Price per orange = $2.25 / 6

= $0.375

Price B

$1.30 for 4

Price per orange = $1.30 / 4

= $0.325

Price C

$0.97 for 2

Price per orange = $0.97 / 2

= $0.485

From least to greatest unit rate

Price B , price A, price C

7 0
3 years ago
Read 2 more answers
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