What are numbers that are either whole numbers or negatives of whole numbers

Answers

Answer 1

These are called integer numbers.

We start with natural numbers (or whole numbers), i.e. the set

[tex] \mathbb{N} = \{0,1,2,3,4,\ldots\} [/tex]

When you add the opposite of each whole number, you have the set of integers:

[tex] \mathbb{Z} = \{0,\pm1,\pm2,\pm3,\ldots\} [/tex]

Answer 2

Answer:the not called whole numbers there called integers

Step-by-step explanation: whole numbers are 0 1 2 3 4 and so on integers are 0 -1 -2 -3 -4 and so on


Related Questions

Explain the differnce between function and relation and the relationship between the domain and the range of a function.

Answers

A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.

Given two sets [tex] A [/tex] and [tex] B [/tex], the "starting" set is called the domain, while the "landing" set is called the codomain.

With that being said, a relation is any way you can associate any number of elements in the domain with every number of elements in the codomain.

A function has more restriction: you can associate one and only one output for every input.

If you visualize this with arrows linking domain and codomain, in order for a relation to be a function, only one arrow can start from each point in the domain.

The domain is thus the set of elements from whence an arrow starts. The range is the subset of the codomain, given by the elements that are reached by at least one arrow.

Isaac takes 5 minutes to ride his bike down the hill to school and 10 minutes to ride up the hill from school. He attends school monday through friday. How many minutes does he spend biking to and from school in two weeks? Write an equation to model your work.

Answers

Answer: 150 minutes

5+10= 15 min
15x5=75 min
75x2=150 min

Answer:150 minutes

Step-by-step explanation:

Given

Issac take 5 minutes to ride his bike down the hill to school

and 10 minutes to ride up the hill from school .

So it takes 15 min each day to and from school

He attends school monday through friday

so 5 days in a week

for 5 days it takes  [tex]15\times 5=75 minutes[/tex]

for 2 weeks

[tex]75\times 2=150 minutes [/tex]

The dimensions of a dollar bill are 6.125 inches by 3.375 inches. However, a dollar bill created 1891 to 1928 had dimensions of 7.3125 inches by 3.125 inches. Are the two dollar bills similar?

Answers

So, we need to set up a ratio

[tex] \frac{6.125}{3.375} = \frac{7.3125}{3.125} [/tex]
1.814 =2.34

Since these values are not equal, they are not similar

The two dollar bills are not similar because the ratios of their corresponding dimensions are not the same.

To determine if the two dollar bills are similar, we need to check if the ratios of the corresponding dimensions are the same.

The dimensions of the current dollar bill are 6.125 inches by 3.375 inches. The dimensions of the older dollar bill are 7.3125 inches by 3.125 inches.

Calculate the ratio of the length to the width for the current dollar bill: 6.125 / 3.375 ≈ 1.8148Calculate the ratio of the length to the width for the older dollar bill: 7.3125 / 3.125 ≈ 2.3400

Since the ratios (1.8148 and 2.3400) are not equal, the two dollar bills are not similar.

Multiply x5 by x2:



A. x7
B. x4
C. x10
D. x3
E. x2.5

Answers

A [tex]x^{7}[/tex]

add the exponents when multiplying

[tex]x^{5}[/tex]× [tex]x^{2}[/tex] = [tex]x^{5+2}[/tex] = [tex]x^{7}[/tex]


To multiply x5 by x2, you add the exponents, resulting in x7 (option A). This operation follows the laws of exponents in algebra.

When asked to multiply x5 by x2, you are performing an operation in algebra known as exponentiation. According to the laws of exponents, when you multiply two exponential terms with the same base, you add the exponents. Therefore, x5 multiplied by x2 is x7 because 5 + 2 equals 7. The correct answer is A. x7.

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. There are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. How many times does the heart beat in one year?

Answers

Answer:

4.2*10^7

Step-by-step explanation:

Khan Academy

Final answer:

The human heart beats approximately 4.2 ⋅ 10^7 times in one year.

Explanation:

To calculate the number of times the human heart beats in one year, we need to multiply the average number of beats per day by the number of days in a year. The average human heart beats 1.15 ⋅ 105 times per day, and there are 3.65 ⋅ 102 days in one year. So, the number of times the heart beats in one year is:

1.15 ⋅ 105 times/day ⋅ 3.65 ⋅ 102 days/year = 4.1975 ⋅ 107 times/year

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In this diagram how many points are coplanar with points A , B and R ?

Answers

thay are 2 point coplanar with point A,B and R

The points A , B and R are coplanar  with point C and E , Option B is the correct answer.

What is the meaning of Co planar ?

Two points are called co planar when they lie on the same surface , for example all the points in a circle are co planar.

In the given figure The points A , B and R are co planar  with point C and E , C and E are not co planar with each other .

Therefore Option B is the correct answer.

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the price p of a clubs membership is $30 foran enrollment fee and $12 per week w tobe a member .Write a function

Answers

The function would be

p = $30 + $12w

or

p = $12w + 30

Final answer:

The function representing the total cost of the club membership is p(w) = 12w + 30, where 'w' is the number of weeks.

Explanation:

The student is essentially asking to write a function which represents the cost of a club membership based on a fixed fee and a weekly cost. This is an example of a linear function in the form of y = mx + b. In this case, 'y' is the total cost 'p', 'm' is the weekly cost $12 (w), 'x' is the number of weeks, and 'b' is the fixed enrollment fee $30.

Thus, the function representing the total cost of the club membership is p(w) = 12w + 30. This equation can be used to find the total cost of the club membership for any number of weeks 'w'.

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Does This Table Represent a function? Why Or Why Not?

Answers

it is no because of A

Answer:  The correct option is

(A) No, because one x-value correspond to two different y-values.

Step-by-step explanation:  We are given to check whether the table represent a function or not.

From the table, we note that

the corresponding values of x and y in form of ordered pairs are

(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).

We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.

But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.

That is, one value of x correspond to two different values of y.

Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.

Option (A) is CORRECT.

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD

Answers

1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.

2. By the Pythagorean theorem,

[tex]AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.[/tex]

3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.

4. The area of parallelogram is

[tex]A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.[/tex]

What type of lines are these? Y = 2x + 4 and 2y = -4x + 10

Answers

ANSWER

The lines are two intersecting lines. They intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]


EXPLANATION


To determine which type of lines, we look for the slopes of the two lines and compare them to see whether they are parallel or perpendicular.


The first line is [tex]y=2x+4--(1)[/tex].


This line is already in the form;


[tex]y=mx+c[/tex], which is referred to as the slope intercept form, where [tex]m=2[/tex] is the slope.


The second line is

[tex]2y=-4x+10[/tex]


Dividing through by 2 gives;


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


This implies that, this line also has a slope of [tex]-2[/tex].


Since the two slopes are not the same,the lines are not parallel.


Also the the product of the two slopes, [tex]-2\times 2 \ne -1[/tex], hence the two lines are  not perpendicular.



Adding equation (1) and (2) gives;

[tex]2y=9[/tex]


[tex]\Rightarrow y=4.5[/tex]


Putting [tex]y=4.5[/tex] in  equation (1) gives


[tex]4.5=2x+4[/tex]



[tex]\Rightarrow 0.5=2x[/tex]


[tex]\Rightarrow x=\frac{1}{4}[/tex].


Hence the two lines intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]








What is the next term in the sequence below? -2, 4, -8, 16, -32,

Answers

the answer is,

-2, 4, -8, 16, -32, 64

PLEASE Help!! 20 Points!


Explain the difference between algebraic expressions and equations.

Answers

An Expression is a group of numbers, variables, and operators. An equation is described as a mathematical statement.

Hope this helps

A certain arithmetic sequence has this explicit formula for the nth term: an = 11 + (n – 1)(4) The same sequence has this recursive formula: an = an–1 + What number belongs in the blank space in the recursive formula?
a.15
b.11
c.3
d.4

Answers

Answer:

I would say D


Answer:

4

Step-by-step explanation:

A certain arithmetic sequence has this explicit formula for the nth term:

[tex]a_n = 11 + (n- 1)(4)[/tex]

Substitute n = 1

[tex]a_1 = 11 + (1- 1)(4)[/tex]

[tex]a_1 = 11 [/tex]

Substitute n =2

[tex]a_2 = 11 + (2- 1)(4)[/tex]

[tex]a_2 = 15[/tex]

[tex]d= a_2-a_1=15-11=4[/tex]

So,[tex]a_2=a_1+d=11+4=15[/tex] --1

Substitute n = 3

[tex]a_3 = 11 + (3- 1)(4)[/tex]

[tex]a_3 = 19[/tex]

[tex]a_3=a_2+d=15+4=19[/tex] ---2

So, with 1 and 2

Recursive formula : [tex]a_n=a_{n-1}+d[/tex]

Since d is 4

So, the number belongs in the blank space in the recursive formula is 4.

Solve for e.
9 e - 7 = 7 e-11

Answers

The answer you are looking for is e= -2

The equation 9e - 7 = 7e - 11 simplifies to e = -2.

To solve the equation 9e - 7 = 7e - 11, follow these steps:

First, move all terms involving e to one side of the equation and constants to the other side.Subtract 7e from both sides:9e - 7e - 7 = -112e - 7 = -11.Add 7 to both sides: 2e = -11 + 72e = -4.Finally, divide both sides by 2: e = -2

Thus, the value of e is -2.

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Estimate the area and perimeter. Each square represents 9 yd2.


area: about 22 yd2; perimeter: about 81 yd

area: about 22 yd2; perimeter: about 27 yd

area: about 198 yd2; perimeter: about 243 yd

area: about 198 yd2; perimeter: about 81 yd

Answers

d im pretty sure

hope this helps

To estimate the area and perimeter, multiply the number of 9 yd2 squares by 9 for the area and count the edge squares for the perimeter, considering that a square yard is 3 feet by 3 feet.

To estimate the area and perimeter of the figure where each square represents 9 yd2, we need to count the total number of squares for the area and the length of the edges in units of squares for the perimeter. If the figure has 22 full squares, then the area is 22 multiplied by 9 yd2, which equals 198 yd2.

To find the perimeter, count the number of squares along the outer edge of the figure, and multiply by the side length of each square. Assuming that the side length of each square is 3 yards (since a square yard is 3 feet by 3 feet, and 1 yard equals 3 feet), if the perimeter in squares is 27, then the perimeter in yards would be 27 yd.

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)☺
P’(9, -1), L’(3, 6)

Answers

I believe it'd be the one with the smiley emoji
Answer:P’(9, -6), L’(3, 1) would be the answer

i just took the assignment and the was correct

have a good day

Use the graph below to answer the question that follows: trig graph with points at 0, 2 and pi over 2, 0 and pi, negative 2 and 3 pi over 2, 0 and 2 pi, 2 and 5 pi over 2, 0 and 3 pi, negative 2 What trigonometric function represents the graph?

Answers

[tex](0,\ 2);\ \left(\dfrac{\pi}{2},\ 0\right);\ (\pi,\ -2);\ \left(\dfrac{3\pi}{2},\ 0\right);\ (2\pi,\ 2);\ \left(\dfrac{5\pi}{2},\ 0\right);\ (3\pi,\ -2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{y=2\cos(x)}[/tex]

Subtract the following fractions.6/11 - 3/11=

Answers

Note that they have the same denominator (11). Because of this, just subtract across

6/11 - 3/11 = 3/11

3/11 is your answer

hope this helps

The answer is 3/11. Because of the common denominators it is 6-3.

Need help ASAP will give brainlest

Answers

The answer would be translitive because if a=b and b=c then a

Is equal to c

That’s why the answer is translitive

Have you learned about translitive

If yo haven’t then the other answer would be the zero product

The correct answer is c: the zero product property. The zero product property states that if ab=0, a=0 or b=0 or both equal 0. In this problem, a is (x+2) and b is (x+6) and you set each factor equal to 0. Hope I helped!

need help with these two questions.

Answers

Circumference varies directly with radius means:

[tex]\frac{C}{r} = k[/tex]

[tex]\frac{9.42}{1.5} = k[/tex]

6.28 = k

So, the new equation is:

[tex]\frac{C}{r} = 6.28[/tex]

[tex]\frac{C}{9} = 6.28[/tex]

[tex](9)\frac{C}{9} = (9)6.28[/tex]

C = 56.52

****************************************

paycheck varies directly with hours means:

[tex]\frac{P}{h} = k[/tex]

[tex]\frac{52.50}{6} = k[/tex]

8.75 = k

So, the new equation is:

[tex]\frac{P}{h} = 8.75[/tex]

[tex]\frac{P}{11} = 8.75[/tex]

[tex](11)\frac{P}{11} = (11)8.75[/tex]

P = $96.25

Select the point that is a solution to the system of inequalities

Answers

Answer:

The answer is (1,6) so its either A or C since they both have (1,6)

Step-by-step explanation:


I think the answer is both A and C since there the same so the answer is 1,6

You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pounders can you make? Show your work and explain your reasoning.

Answers

You can make 20 quarter pounders based on the information provided. You can show your work by dividing 5 by .25. You need to make both of these a fraction by doing 5/1 x 1/4. This leading you to get 20 making this your answer.

An electronis store had 20% off sale. If a sterreo originally cost 125, how much

Answers

20% percent refers to the rate
So to find 20% off of $125 you have to multiply the rate by the original price and then subtract that number from the original price
First you have to make the percent into a decimal. To do that you have to move the decimal point over to the left two times or divide by 100:
20/100= .20
So the equation would be:
.20 • 125= 25
Now you have to subtract from the original number:
125-25=100
So the answer would be that the stereo would cost 100 with the 20% off sale

what expressions is the prime factorization of 360?

Answers

Answer,

Prime[1] = 2, Prime[2] = 3, Prime[3] = 5


Hope this helps :-)

Toni can carry up to 18 1b in her backpack. Her lunch weighs 1 1b, her gym clothes weigh 2 1b, and her books (b) weigh 3 1b each. How many books can she carry in her backpack?

Answers

First we find how much weight is in her book bag without any books.
1+2 = 3
Then we find how much weight left that she can carry.
18-3 = 15
Now we divide by the weight of each book to see how many she can carry.
15/3 is 5.
She can carry 5 books!

What is the solution set of the equation using the quadratic formula:

x^2+2x+5=0

Answers

the answer should be {-2+4i,-2-4i}

Answer:

{-1-2i, -1-2i}

Step-by-step explanation:


Marcy job 0.8 mile on Wednesday and 0.9 mile on Thursday how far did she jog on the two days

Answers

Marcy jogged 1.7 miles total. Hope I could help!!

Write 5 numbers that round to 360 when rounded to the nearest ten

Answers

360, 356, 364.71547154... , 359.99, and 360.1.

Lea buys 6 model cars that each cost $15 she also buys 4 bottles of paint that each cost $11 how much does lea spends on model cars an paint

Answers

Times the price of the model cars to the amount bought.

$15×6= 90.

Lea paid 90 dollars for the model cars.

Now, multiply the price of the paint to the amount bought.

$11×4= 44.

Lea paid 44 dollars for the paint.

Add both together. 90+44= 134.

Therefore, Lea paid $134 for the model cars and paint all together.

hope this helps!

Determine the strongest classification for quadrilateral ABCD with vertices at A(1, 2), B(3, 5), C(5, 3), and D(2, 1). The quadrilateral is a because .

Answers

This is all i could come up with

The strongest classification for quadrilateral ABCD is that it is a parallelogram because its opposite sides are parallel.

To determine the classification of quadrilateral ABCD, we need to examine its properties and compare them to the defining traits of different types of quadrilaterals. One of the most effective ways to do this is by calculating the slopes of its sides and the lengths of its sides and diagonals.

Slopes of Sides:

We first find the slopes of each side of the quadrilateral using the coordinates of its vertices.

Slope of AB: (5 - 2) / (3 - 1) = 3/2

Slope of BC: (3 - 5) / (5 - 3) = -1

Slope of CD: (1 - 3) / (2 - 5) = 2/3

Slope of DA: (2 - 1) / (1 - 2) = -1

Lengths of Sides and Diagonals:

Next, we compute the lengths of the sides and diagonals using the distance formula.

Length of AB: √((3 - 1)² + (5 - 2)²) = √(2² + 3²) = √13

Length of BC: √((5 - 3)² + (3 - 5)²) = √(2² + 2²) = 2√2

Length of CD: √((2 - 5)² + (1 - 3)²) = √((-3)² + (-2)²) = √13

Length of DA: √((1 - 1)² + (2 - 1)²) = √(0² + 1²) = 1

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