Is 400 A whole number a integer a real number or rational number

Answers

Answer 1

Answer:

400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1

Step-by-step explanation:

the square root of 400 is  rational  because  the product is 20  which is a whole number making it  a rational number  because a rational number  is any  interger, fraction , terminating decimal, or repeating decimal.


Related Questions

Given f(x) = -3x + 5, find f(-6).

Answers

Answer:

23

Step-by-step explanation:

Since it says f(x) that means that when we see f(-6) we are substituting x for -6.

This means that the equation will become

f(-6) = -3(-6) + 5

First multiply -3 and -6 (18)

f(-6) = 18 + 5

Next add 18 and 5 (23)

This means that f(-6) = 23

23

This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)

[tex]f( - 6) = - 3( - 6) + 5[/tex]

[tex]f( - 6) = 18 + 5[/tex]

[tex]f( - 6) = 23[/tex]

HELP PLEASE !
ASAP
a=
b=
c=

Answers

Answer:

a = 0, b = 6, c = 4

Step-by-step explanation:

Given

f(x) = - x² + x + 6 , then

f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a

f(0) = 0 + 0 + 6 = 6 ← b

f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c

Answer:

a = 0

b = 6

c = 4

Step-by-step explanation:

f(x) = -x² + x + 6

a = -(-2)² + (-2) + 6 = 0

b = -(0)² + (0) + 6 = 6

c = -(2)² + (2) + 6 = 4

The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2

Answers

c(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

Given the Venn diagram below, which statement must be true?

Answers

the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,

Answers

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units

Answers

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.

Answers

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the difference ?

Answers

Answer:

$15 in debt

Step-by-step explanation:

Subtract 33 from 18

18 - 33

= -15

So, he will be $15 in debt

Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Answers

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answers

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

Answer:

D

Step-by-step explanation:

Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?

Answers

Answer

A

Step-by-step explanation:

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answers

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

To get more about inverse functions visit:

https://brainly.com/question/1144043

30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?

Answers

Answer:

131.086

Step-by-step explanation:

Can somebody help?

Answers

Answer:

a its the first one

Step-by-step explanation:

because i did the math and i have dont this question before

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!

Answers

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

What is -S to the power of three minus 5st, S= -3 and T= -2.

Answers

=-3 to the power 3 - 5(-3(-2)
=-27-5(6)
=-27-30
=-57

I need help with #4 please! Thank you!

Answers

Answer:

$54.25

Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

Simplify. 1/3(1−1/4)^2

Answers

Answer:

3

-

16

Step-by-step explanation:

Use the figure to write and solve an equation for x.

Answers

Answer:

x = 33

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

This question is confusing. Please help me!This question is confusing. Please help me!

Answers

Answer:

(C) 1/2

Step-by-step explanation:

s + 3s = 4st + 3t = 4t

If 4s is 2 more than 4t, then:

4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

use the given tables to evaluate: f(g(1))

Answers

B) f(g(1))= -8 is your answer

There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

1 :5

Step-by-step explanation:

[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]

Answer:

the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)

Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH

Answers

Answer:

16

Step-by-step explanation:

20-4=16

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Answers

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?

Answers

Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

1/1 1/4 1/9 what's the pattern

Answers

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

33/3 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number

Answers

Answer:

Rational Number

Step-by-step explanation:

A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q.  33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3.  This makes 33/3 a rational number.

A sample of gold weighs 100 grams and has a volume of 5.18 cm'. What is the density of gold?

Answers

19.31 g/cm^3... I’m assuming when you said cm’ you meant cm^3

Simplify 3/5 • 3/4 .

Answers

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

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