6. Fill in the blanks:
integer

(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is​

Answers

Answer 1

Answer:

O is greater than every

integer


Related Questions

What is domain restrictions and what causes them?

Answers

Domain restrictions are values of x which are not acceptable in a function.

They may be arbitrary because we simply want to ignore them. eg y = x^2 between 0 and 4

They may make no sense in the context, eg graph a compounding investment over next 20 years.
Negative values for x make sense here.

They may avoid mathematical impossibilities eg y = (x^2 - 4x) / (x - 4) which must avoid dividing by zero, so x cannot = 4.
The graph will look like the line y = x but have a hole where x= 4

A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?

Answers

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

I don’t understand this can someone help me

Answers

Answer:

slope is 0 because its rise over run and there is no run so 0 or undefined

Step-by-step explanation:

Answer:

It has an undefined slope because this vertical line does not run horizontally, meaning the "run" in rise/run is 0 and you cant divide anything by 0

Step-by-step explanation:

-20w^3+11w^3
Helppppp

Answers

Answer:

-9w^3

Step-by-step explanation:

Combine like terms. -20+11 = -9

Answer:

-9 w^3

Step-by-step explanation:

-20w^3+11w^3

Combine like terms

(-20+11) w^3

-9 w^3

Use 3.14 = 7 to find the volume of the composite shape below.
15 in
20 in
18 in
The total volume of this composite shape is

Answers

Awnser: 16022 in3

Step-by-step explanation:

find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.

What is the slope ? Simplify your answer and write it as a proper fraction

Answers

Answer: 1/2

(0,80) (90,20)

Use Slope Formula m= (y1-y2)/(x1-x2)

90-80/20 = 1/2

Your slope is 1/2

combine the radicals 9✔x -3✔x

Answers

Answer:

6√x

Step-by-step explanation:

Given :-

9√x - 3√x .

For combining , take √x as common ,

=> √x ( 9 - 3 )

=> √x * 6

=> 6x

Solve 8x - 2y = 12 for y.
O A. y = 4x - 12
O B. y 1-8x+12
O C. y = 8x+6
D. y = 4x - 6

Answers

Answer:

D

[tex]8x - 2y = 12 \\ 2y = 8x - 12 \\ y = 4x - 6[/tex]

Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11

Answers

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

Factorize: (+)^2 + 4 (+)+ 4

Answers

Answer:

Solution given:

x²+4x+4

x²+(2+2)x+4

x²+2x+2x+4

x(x+2)+x(x+2)

(x+2)(x+2)

(x+2)²

your

answer is

((+) +2)²

The following is a parallelogram solve for the variables

Answers

Answer:

x = 13, y = 26, z = 5

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

2x + 110 + 44 = 180

2x + 154 = 180 ( subtract 154 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

------------------------

2x and y are alternate angles and congruent , so

y = 2x = 2(13) = 26

--------------------------------

The opposite sides of a parallelogram are equal

3z - 1 = 14 ( add 1 to both sides )

3z = 15 ( divide both sides by 3 )

z = 5

A school conference room can seat a maximum of 103 people. The principal and two counselors need to meet with the school's student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting?

Answers

Answer: 50

Step-by-step explanation:

Given

There are maximum of 103 people in room and principal and 2 counselor need to discuss eligibility requirements.

If each student must bring a parent with them

No of seats left after principal and 2 counselor occupied the seats are 103-3=100

A student and parent occupies at least 2 seats. For maximum students, only one parent is feasible.

So, maximum no of students are

[tex]\Rightarrow \dfrac{100}{2}=50[/tex]

Which expression is equivalent to the given expression?
4 ln x+ In 3 – In x

A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)

Answers

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log([tex]\frac{a}{b}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C

4
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4.
y=-6x+
+
Oy-x-6
O y=x+6
O y=6x+

PLEASE I NEED HELP

Answers

First, we have to understand the slope-intercept form.

[tex] \large \boxed{y = mx + b}[/tex]

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

[tex] \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}[/tex]

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

What's the inverse of f(x) = x-3/5

Answers

Answer:

y = x + 3/5

Step-by-step explanation:

1.  Label this function 'y':  y = x - 3/5

2.  Interchange x and y:  x = y - 3/5

3.  Solve this for y:  y = x + 3/5

This last result is the inverse of the given function.

Answer:

y = x + 3/5

Step-by-step explanation:

change f(x) to 'y'

y = x - 3/5

interchange 'x' with 'y'

x = y - 3/5

solve for y

y = x + 3/5

I’m confused a little please help

Answers

Answer:

m∠E = 60°

Step-by-step explanation:

The given information in the diagram are;

The shape of the drawing, ΔEDF = A right triangle

The length of the hypotenuse side opposite the right angle = 16·√46

The length of the leg adjacent to the reference angle ∠E = 8·√46

By trigonometric ratio, we have;

[tex]\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E[/tex]

Plugging in the values gives;

[tex]cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}[/tex]

∴ m∠E = arccos(1/2)

Using a calculator or from tables or an online trigonometric ratio tool, we have

arccos(1/2) = 60°

∴ m∠E = arccos(1/2) = 60°.

The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Answers

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]

Write an inequality for the situation.


all real numbers y that are less than 4 or greater than 9






y < 4 or y > 9


4 < y < 9


y < 4 or y < 9


y < 9 or y > 4

Answers

Answer:

y < 4 or y > 9

Step-by-step explanation:

The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.

Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?

Whoever answers correctly will be marked brainliest

Answers

Answer:

30%

Step-by-step explanation:

3+4+6+7= 20

6 (green) / 20

= 30%

Find the value. Need help on these questions ASAP

Answers

Answer:

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Step-by-step explanation:

7) The "x" value can be found using the following trigonometrical identity:

[tex] sin(30) = \frac{12}{x} [/tex]

[tex] x = \frac{12}{sin(30)} = 24 [/tex]

Since "x" (the hypotenuse) is related to the opposite side by sin(θ).

So, the correct option is D.

8) The "y" value can be calculated with tan(θ):

[tex] tan(30) = \frac{12}{y} [/tex]

[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]

Hence, the correct option is C.

9) The hypotenuse can be calculated with cos(θ):

[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]

[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]

Thus, the correct option is C.

10) The value of the sides can be found by Pitagoras:

[tex] h^{2} = x^{2} + x^{2} [/tex]

[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]

Therefore, the correct option is A.

I hope it helps you!

Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns

Answers

Answer:

B.

Step-by-step explanation:

The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.

Answer:

B.  The chance to earn by working in a library

Step-by-step explanation:

This is a guess

ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.

Answers

Question:

ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.

Answer:

101.5cm²

Step-by-step explanation:

The figure for the trapezium ABCD is attached to this response.

To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;

A  = [tex]\frac{1}{2}[/tex] x (a + b) x h            ------------------(i)

Where;

A = area of the trapezium

a and b are the parallel sides of the trapezium

h = height of the trapezium.

As shown in the figure,

AB and CD are parallel

Therefore, we can say that;

a = AB

b = CD

Also, from the figure,

The height of the trapezium is BP

Therefore, we can say that;

h = BP

We know that;

a = AB = 4cm

b = CD = 25cm

h = BP = 7cm

Substitute these values of a, b and h into equation (i) as follows;

A  = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7    

A  = [tex]\frac{1}{2}[/tex] x (29) x 7    

A = 101.5

Therefore, the area of the trapezium is 101.5cm²

If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the orginal?
Original: 1 cm
Enlarged: 6 cm
Original: 7 cm
Enlarged: 42 cm
Original: 2.5 cm
Enlarged: 15 cm
Original: 5 cm
Enlarged: 30 cm

Answers

Answers:

Original = 1 ----> Enlarged = 6Original = 7 ----> Enlarged = 42Original = 2.5 ----> Enlarged = 15Original = 6 ----> Enlarged = 30

It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.

Example: 7*6 = 42

what does the E stand for in PEMDAS

Answers

The E in Pemdas stands for exponents.

Answer:

P: parenthesis

E: Exponents

M: multiplication

D: division

A: Addition

S: substraction

Step-by-step explanation:

Factorise 3[tex]x^{2}[/tex]+5x+2

Answers

(x+1)x(3x+2) is the answer

Math help please FAST

Answers

Answer:

180

60

40

Step-by-step explanation:

Angles in a triangle add up to equal 90 degrees

Equilateral - has all congruent angles and congruent sides

If a triangle has 3 angles and the angles add up to equal 180 then the measure of one angle in an equilateral = 180 / 3 = 60

Bisect means to split into to equal parts

So if you bisect an 80 degree angles you will have two 40 degree angles. ( Because 80/2 = 40 )

Answer:

40°

Step-by-step explanation:

bisecting an angle gives equal angles equivalent to half the size of the bisected angle for each of them

HELP! BRAINLIEST WILL BE GIVEN;/ PLEASE

Answers

Answer:

17

Step-by-step explanation:

2(3x+3) = 6x-16+4x-10

6x+6=10x-26

-4x=-32

x=8

6x-16 = 48-16=32

3x+3 = 24+3=27

4x-10= 32-10=22

as arithmetic sequence WZ should be 17

help me with this question ​

Answers

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School.

Answers

Answer:

14 kids

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.

700÷100=7

7×2=14

14 kids with red hair

Maria is planning a road trip of 900 miles her car get 30 miles per gallon, and gas cost $3.50 per gallon how much should she budget for the trip

Answers

Answer:

Maria should budget $105 for the trip.

Step-by-step explanation:

First divide every 30 miles she is going doing for the trip.

900 divided by 30 = 30

So she will need 30 gallons to drive 900 miles.

30 x 3.50 = 105.

105 is how much she will pay for the gas.

Then 30 x 3.50 = $105 for gas on the trip.
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