Why is a 5th interval called perfect?

Answers

Answer 1

The 5th interval is called perfect

Interval notation is a method to represent an interval on a number line.

The 5th interval is called perfect

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.

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Related Questions

Solve correctly for brainly

Answers

Answer:

y=4x+26

Step-by-step explanation:

x intercept =( [tex]\frac{- 13}{2} \\[/tex], 0)

y intercept = (0,26)

1) Convert point-slope equation to slope-intercept:

y - 6 = 4x + 20
y = 4x + 26

2) Find the x-intercept:

0(y) = 4x + 26
0 = 4x + 26
-26 = 4x
x = (-13/2 , 0)

3) Find the y-intercept:

y = 4(0) + 26
y = 0 + 26
y = (0 , 26)

The students at Walden Middle School are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first week.How much money did they make in the first week?

Answers

Answer:

$388.50

Step-by-step explanation:

42 tins

$9.25/tin

[tex]42*9.25=388.5[/tex]

So, they raised $388.50

Jenna noted the prices for a bag of dog food at a number of online stores. The prices were $22, $9, $10, $19, $18, and $20.

Find the mean, median, and mode of the prices.
Which measure of center BEST describes this set of data. Explain your choice.

Answers

Answer:

Mean: 16.333333333333

Median: 18.5

Mode: 9,10,18,19,20,22

Step-by-step explanation:

Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)

Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.

Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.

6 is what percent of 88?

Answers

Answer:

6 is 6.82% of 88

If a mom has 3 kids who are 18, 16, and 26 how old is the mother
and how old was she when she gave birth

30 POINTS BEST ANSWER WILL GET BRAINLIEST

Answers

Answer:

Step-by-step explanation:

If the firstborn arrived 26 years ago, his mother's age was likely between 20 and 30 years old when she gave birth.  Her current age is likely between 46 and 56 years.

put the following equation in slope intercept form: -4x -5y=-10

Answers

Rearrange into y=mx + b
So

-4x - 5y = -10 Add 4x to each side
-5y = 4x - 10 Divide each side by -5
y = 4x/-5 -10/-5 Simplify
y = -4x/5 +2

write an equation for a line passing through the point (1, 3) that has a slope of -2​

Answers

Given :

A line passing through the point (1, 3) that has a slope of -2​.

To Find :

The equation of such line.

Solution :

Let, the equation of line is :

y = mx + c

Here, m is slope i.e m = -2 and c is y-intercept.

So,

y = -2x + c

It is also given that the line passes through (1, 3).

3 = -2× 1 + c

c = 5

Therefore, the equation of line is y = -2x + 5 .

What is the surface area of the cylinder with height 7 in and radius 6 in? Round your answer to the nearest thousandth.

Answers

Surface area is 490.088

Answer: 490.088 in2

Step-by-step explanation:

help please i really need help​

Answers

Answer:$ 1341.99

Step-by-step explanation: Hope its helps

6. Six people are running a race. In how
many different ways can they finish first and
second?
A. 2
B. 12
C. 30
D. 36

Answers

Answer:

a

Step-by-step explanation:

Answer:

a2

Step-by-step explanation:

Do the ratios 5/15 and 1/3 form a proportion?

Answers

Answer:

Step-by-step explanation:

We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.

5/15 = 1/3

5*3 = 15*1

15 = 15

as the left-hand side is equal to the right side. So, these fractions are in proportion.

Hays is standing outside on a sunny day. he is 6 ft tall and casts a 4 ft shadow. what is the distance from the top of hays's head to the end of his shadow? round to the nearest tenth, if necessary. responses
a. 4.5 ft
b. 4.5 ft
c. 5 ft
d. 5 ft
e. 7.2 ft
f. 7.2 ft
g. 10 ft

Answers

Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft

Hays' body and his shadow are perpendicular.

So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.  

Then you can stand back and let Pythagoras figure out the length of the line for you, using c²  =  a² + b²

(Distance)²=(Hay's height)²+(length of his shadow)²

(Distance)²=(6 ft)² + (4 ft)²

(Distance)²=(36 ft²) + (16 ft²)

(Distance)=52 ft²

Distance =√(52 ft)²

Distance = 7.21 ft

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Sammies room is 20 feet long and 12 feet wide her parents want to cover the floor with tiles. If they choose to use tiles with with side 2 feet long how many tile would they need

Answers

Find the area of the room by multiplying the length by the width:

Area of room = 20 x 12 = 240 square feet.

Find the area of the tile: 2x 2 = 4 square feet.

To find the number of tiles divide the area of the room by the area of a tile:

240/4 = 60

They will need 60 tiles.

Answer:

120

Step-by-step explanation:

20*12=240

240/2=120

PLEASE HELP NOW IM BEGGING AND PLEADING PLEASE AND THANK YOU
Linear sequences & graphs 206 - Straight line graphs 1 Quiz 1 2 3 4 5 6 7 8 6 of 8 Use the table to work out the values of a , b , c , and d . x y = 5 − 3 x − 3 a − 2 11 − 1 b 0 5 1 c 2 d a = b = c = d =

Answers

The values of a, b, c and d are -5, -1, 3 and 5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x+1

Substitute (-3, a) in y=2x+1, we get

a=2(-3)+1

a=-6+1

a=-5

Substitute (-1, b) in y=2x+1, we get

b=2(-1)+1

b=-1

Substitute (1, c) in y=2x+1, we get

c=2(1)+1

c=3

Substitute (2, d) in y=2x+1, we get

d=2(2)+1

d=5

Therefore, the values of a, b, c and d are -5, -1, 3 and 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Use the table to work out the values a, b, c and d.

      x        y=2x+1

     -3           a

     -2           -3

      -1           b

       0            1

       1            c

       2            d

20 PTS-what Theorem can be used to prove these triangles are congruent

Answers

Answer: AAS

Step-by-step explanation:

AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.

A rectangle has 4 lines of symmetry.
true or false

Answers

true four lines of symmetry .
yes that is 100% true

A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?

Answers

Submarine must descend 17 feet in the 5th minute.

What is the average of the data?

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine

= (Total distance distended/ Duration or time)

= (6 + 8 + 14 + 15 + x) / 5

= (43 + x) / 5

Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"

So the inequality for the statement will be,

(43 + x) / 5 ≥ 12

43 + x ≥ 60

x ≥ 17

Therefore, submarine must descend 17 feet in the 5th minute.

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roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond​

Answers

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond​

Solution:

In a standard deck of 52 cards.

Total number of cards = 52

13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

Number of king of heart = 1

[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]

[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]

b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]

[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

[tex]P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of diamond​})=\dfrac{1}{52}[/tex]

Therefore, the required probabilities for each parts are:

(a) [tex]\dfrac{1}{52}[/tex]

(b) [tex]\dfrac{1}{52}[/tex]

(c) [tex]\dfrac{1}{52}[/tex]

(d) [tex]\dfrac{1}{52}[/tex]

The probabilities for each of the given selections are;

A) 1/52

B) 1/52

C) 1/52

D) 1/52

What is the Probability?

A) Since total number of cards in the deck is 52 and there is only one king of heart, then;

Probability of selecting a king of heart = 1/52

B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;

Probability of selecting a queen of spade = 1/52

C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;

Probability of selecting an ace flower = 1/52

D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;

Probability of selecting am ace of diamond = 1/52

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The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 132 centimeters, find the value of the shortest of the four side lengths.

Answers

The value of the shortest of the four side lengths of the quadrilateral is 30 cm

What is the length of the shortest side of the quadrilateral?

The perimeter of a quadrilateral is the sum of all the sides.

Perimeter of the Quadrilateral = 132 centimeters

Let

The shortest side = x

Since, the sides are consecutive even integers;

Second side = (x + 2)

Third side = (x + 4)

Fourth side = (x + 6)

Perimeter of the Quadrilateral = shortest side + Second side + Third side + Fourth side

132 = x + (x + 2) + (x + 4) + (x + 6)

132 = x + x + 2 + x + 4 + x + 6

132 = 4x + 12

132 - 12 = 4x

120 = 4x

divide both sides by 4

x = 120/4

x = 30 centimeters

Therefore,

Second side = (x + 2)

= 30 + 2

= 32 cm

Third side = (x + 4)

= 30 + 4

= 34 cm

Fourth side = (x + 6)

= 30 + 6

=36 cm

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A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?
ANSWER ASAP!!!

Answers

Answer:

Step-by-step explanation:

In 12 hours, the train will travel 487.5 miles

8/325=40.625

40.625 x 12 = 487.5

Sophie enjoys running on the indoor track. Yesterday Sophie ran a certain number of laps on the track. Today she ran four times as far. She ran 20 laps today. How far did Sophie run on the track yesterday?

Answers

She ran 5 laps yesterday

Hi, please help (see image)
I need help on question b) and c)
This homework is due very soon !!! ( SOS)

Answers

Answer:

b: Two thousand four hundred and forty (2440)

c: 1.33 x 10^27

Step-by-step explanation:

I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.

As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]

The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
pen

Answers

Answer:

Step-by-step explanation:15.6

if 15 mL of glue is needed to make 6 oz. of slime, how many mL of glue is needed to make 10 oz. of slime

Answers

Answer:

25mL

Step-by-step explanation:

15/6=2.5ml/oz

10x2.5=25mL

please help i need this in asap!!!!!!!

Answers

Answer:

366.16

Step-by-step explanation:

area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²

184 x 1.99 = 366.16

If the 13th term in a linear sequence is 92 and the 28th term in the sequence is
152, what is the 6th term in the sequence?

Answers

Answer:

64

Step-by-step explanation:

As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:

28-13=15

now we find the difference between 152 and 92

152-92=60

now we divide 60 and 15

60÷15=4

So M is 4 meaning every term has a difference of 4.

So now we can subtract 6 from 13:

13-6=7

Then multiply the difference per term (4) by 7

4×7=28

Finally we subtract 28 from 92 (13th terms value)

92-28=64

I need help please thx God bless you

Answers

Answer:

A. 3/4 or .75

B.  5/6 or .83333

C. 11/12 or .91667

D. 1/20 or .05

Step-by-step explanation:

A. 1/2 + 1/4 = 3/4 or .75

B. 1/2 + 1/3 = 5/6 or .83333

a. 1/4 + 2/3 = 11/12 or .91667

b. 1/4 - 1/6 = 1/20 or .05

Find the commission on a 1,250 sale with a commission rate of 5%.


Please help only if you know it and please explain the answer

Answers

The commission on the sale would be $62.5

To find the commission on a sale, you can use the following formula:

Commission = Sale Amount x Commission Rate

Sale Amount: the total value of the sale

Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)

The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.

In this case, the commission on a 1,250 sale with a commission rate of 5% would be:

= 1,250 x 0.05

= 62.5

So the commission on the sale would be $62.5

It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.

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Y+W-2asquared
W=400 a=5 work out the value of y

Answers

The answer is Y= -350

Help plis and thankyou :)

Answers

hola cómo estás yo muy bien y tu qué tal

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