A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number

Answers

Answer 1

Answer:

D. Rational Number

Step-by-step explanation:

Integers are defined as all whole numbers, positive and negative, including 0. Since in the list there is a number that is not whole, A is not the correct answer choice.Whole numbers are all positive numbers (including 0) without decimals or fractions. Since the list has a number that is not a whole number, along with two that are negative, B is also not correct.Natural numbers are all positive numbers (excluding 0) without decimals or fractions. Since there is a 0 in the list, C is not correct.Rational numbers are all numbers that can be simplified into a ratio with 2 integers (i.e. π and e are not rational). Since every number on the list can be put into this category, answer choice D is correct.

Related Questions

HERE for help me one more

Answers

Answer:

Im pretty sure its D.

Step-by-step explanation:

I think it would be option D. Is it considered the subsoil layer

PLEASEEEE HELPPPPP ME !! :)

Answers

The last one looks right

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.

Answers

Answer:

2560 J

Step-by-step explanation:

mv^2/2

80(8)^2/2

2560 J

What is the value of log4 2?​

Answers

Answer:

1/2

Step-by-step explanation:

type it into the calculator

The value of logarithm log base 4(2 is 1/2.

What is Logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Rewrite as an equation.

log base 4(2)=x

and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b  are positive real then

log (base b) x= y equivalent to [tex]b^y[/tex] = x

Create expressions in the equation that all have equal bases.

log base 4(2)=x

[tex](2^2)^x[/tex] = 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

x= 1/2.

Learn more about Logarithm here:

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PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph

Answers

if you start at the point (0,1), you are going to go up and over to (-2,4), which means you will go up 3 and to the left, which means negative, 2
rise/run
3/-2

what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)

Answers

Answer:

-77·√30

Step-by-step explanation:

(-7)·√3·11·√10  =  (-77)·√3·10  =  -77·√30

A quarter horse often excels at running races of 1/4 mile or less .how many feet is that

Answers

Answer:

1320ft

Step-by-step explanation:

1 mile is equal to 5280 feet, divide 5280/4

this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races

Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x​

Answers

Given:

The equation of a line is:

[tex]y-1=4x[/tex]

A line parallel to the above line passes through the point P(2,5).

To find:

The equation of the parallel line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]         ...(i)

Where, m is the slope and b is the y-intercept.

The given equation is:

[tex]y-1=4x[/tex]

It can be rewritten as

[tex]y=4x+1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=4[/tex]

It means the slope of the given line is 4.

We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.

The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=4(x-2)[/tex]

[tex]y-5=4x-8[/tex]

[tex]y=4x-8+5[/tex]

[tex]y=4x-3[/tex]

Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].

Use the Pythagorean theorem to find the unknown side of the right triangle.

Hypotenuse length_____

Answers

Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39

Step-by-step explanation:

help please thank you sm!!!

Answers

Answer:i think it is 54 degree

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.

In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.

Answers

Answer:

35 members

Step-by-step explanation:

In a tennis club the ratio number of junior members : number of senior members is 7 : 10

From the above ratio

Number of junior member = 7

Number of senior members = 10

There are 18 more senior members than junior members.

S = 18 + j

10 + 18 = 28 senior members

Hence,

Total number of members = 28 senior members + 7 junior members

= 35 members

The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure

Answers

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

what is the slope of the line​

Answers

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

Answer:

the slope of the line​ is 1

Step-by-step explanation:

The line goes  1 up, 1 right, 1 up 1 right ........

1 divided into 1 = 1

given y²+5y-6= (y+p) (y+q), find the values of p and q. ​

Answers

Answer:

(y+6)(y-1)

Step-by-step explanation:

literally factorising.

y^2 x -6 = -6y^2

u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.

Answer:

p = 6, q = - 1 , or p = - 1, q = 6

Step-by-step explanation:

Factorise the quadratic expression on the left side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

y² + 5y - 6

= (y + 6)(y - 1) = (y - 1)(y + 6)

Compare to (y + p)(y + q) , then

p = 6, q = - 1 or p = - 1, q = 6

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.

Answers

Answer:

Minimum 100 bicyclesMinimum cost is 13500

Step-by-step explanation:

Given function:

C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

x = -(-600)/(2*3) = 100

b.

Cost at vertex is:

C(100) = 3*100^2 - 600*100 + 43500 = 13500

What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6

Answers

I think c not for sure tho

Find the area of this hexagon

Answers

The area is: 584.57 in ²

name the following polynomial expression.

[tex] {4x}^{2} + x - 3 [/tex]

Answers

Answer:

Step-by-step explanation:

It has 3 terms so it is a trinomial.

It can also be called a quadratic.

Answer:

a trinomial.

If that is what ur asking for

Step-by-step explanation:

Help! I don't get it!

Answers

A= 4/32 and 5/40
B= 9/21 and 6/14
C= 2/5 and 16/40

In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th

Answers

Answer:

618.2203≈618.22

Step-by-step explanation:

618.2203≈618.22

Which expression is equivalent to 0.06h +h+0.85h? ​

Answers

Answer:

1.91h

Step-by-step explanation:

0.06h+h+0.85h

1.91h

Answer:

The first one asdfghjkfruyctdf

Step-by-step explanation:

log subscript-4 (m^2)=log subscript-4 (18-7m)?

Answers

Answer:

m = {-9, 2}

Step-by-step explanation:

log₄ (m²) = log₄ (18 - 7m)

18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7

m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9

Answer:

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

Step-by-step explanation:

we are given a logarithm equation

[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]

notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it

[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]

in order to solve it we should make it standard form we know that

[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]

so right hand side expression to left hand side and change its sign:

[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]

now we can solve it by using factoring method

to do so rewrite the middle term as sum or subtraction of two different terms

in that case -2m+9m is good to use

[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]

factor out m:

[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]

factor out 9:

[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]

group:

[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]

hence,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

remember that,

when we deal with logarithm equation we should always check the roots

let's check the root 1:

[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify square:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify multiplication:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]

simplify substraction:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]

simplify logarithm:

[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]

let's check root 2:

[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]

simplify square:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]

simplify addition:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]

therefore,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?



(7th grade 8-1)

Answers

Answer:

50 students from each grade

Step-by-step explanation:

If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes

Also 50 is easily divisible by 750

Therefore the above represent the answer

find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees

Answers

Answer: hi

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

hope is helps <3

Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:Amount of blue paints used to paint bedroom walls=1.48 pints

Step-by-step explanation:

total pints of white paint and blue paint = 7.4 pints

Amount of white paint=4/ 5 x 7.4 pints=5.92pints

Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used

= 7.4 pints-5.92pints

=1.48pints

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units

Answers

The length of line height BC according to the given parameter is; 142.

What is the length of the line BC?

It follows from the task content that the base edge length of the pyramid is 14 units.

On this note, it follows that length of the segment BC is given by Pythagoras theorem as;

BC² = 14² + 14²

BC = 14√2.

Read more on Pythagoras theorem;

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Answer:

D. 14StartRoot 2 EndRoot units

Step-by-step explanation:

Edge

in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel

Answers

Answer:

no,because <1 and <5 are not congruent

Step-by-step explanation:

i did the test yw

Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range

Answers

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Find the distance between (-22,15) and (30, -25).

Answers

Answer:

65.60

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2

= √522+(−40)2522+(-40)2

= √2704+16002704+1600

= √43044304 = 65.6049

The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side. ​

Answers

Answer:

I would say use photomath if you cant find your answer.

Step-by-step explanation:

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