Find the Cardinal number of the set of all solutions to x^2=100

Answers

Answer 1

Answer: 2

Step-by-step explanation:

this is the answer knewton alta said

Answer 2

The Cardinal number of the set of all solutions to x²=100 is 2.

What is Number system?

A number system is defined as a system of writing to express numbers.

Cardinal numbers are natural numbers or positive integers. The smallest cardinal number is 1.

We have to find the Cardinal number of the set of all solutions to  x²=100

To find the solution of the equation we have to take square root on both the sides' x=10, -10

The set of solutions will be {-10, 10}

It has two terms. Hence cardinal number is 2.

Hence, the Cardinal number of the set of all solutions to x²=100 is 2.

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Related Questions

How do you do this question without looking at the answer choices?

Answers

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The questions asks us to determine the anti-derivative of the function f(x) = 4x^3 [tex]*[/tex] sec^2 [tex]*[/tex] x^4. Let's start by converting this function into integral form. That would be the following:

[tex]\mathrm{\int \:4x^3sec^2x^4dx}[/tex]

Now all we have to do is solve the integral. Let's substitute 'u = x^4' into the equation 'du/dx = 4x^3.' We will receive dx = 1/4x^3 [tex]*[/tex] du. If we simplify a bit further:

[tex]\mathrm{\int \:\:sec^2\left(u\right)du}[/tex]

Our hint tells us that d/dx [tex]*[/tex] tan(x) = sec^2(x). Similarly in this case our integral boils down to tan(u). If we undo the substitution, we will receive the expression tan(x^4). Therefore you are right, the first option is an anti-derivative of the function f(x) = 4x^3 [tex]*[/tex] sec^2 [tex]*[/tex] x^4.

please help me i would appreciate it​

Answers

Answer:

1/2 meter long

Step-by-step explanation:

To answer this question use the equation 1 1/3 - 5/6

Next make 1 1/3 an improper fraction

To do this multiply the integer and the denominator and then add all of that plus the numerator

This means that 1 1/3 is 4/3

4/3 - 5/6

Next make the denominators the same

This means finding the LCM which is 6

8/6 - 5/6 = 3/6 (1/2)

Heidis hair is 1/2 meters long

A couple wants to install a square mirror on their bathroom wall. The area of the square mirror is 720 square inches. To the nearest hundredth of an inch, what length of wood trim is needed to go around the entire mirror?

Answers

Answer:

107.33 inches

Step-by-step explanation:

Area of the square more = length ^2

Area of the square mirror = 720 square inches

Area of the square more = length ^2

720 = length^2

Find the square root of both sides

√720 = √lenght^2

Length = √720

Length = 26.83281573 inches

Each length of the wood = 26.83281573 inches

There are 4 equal sides on the square mirror

Total length of the wood = 26.83281573 × 4

= 107.33126292 inches

Length of wood trim is needed to go around the entire mirror to the nearest hundredth = 107.33 inches

ро
Daniella is planning to take her friend to a concert for her birthday. Tickets to the concert are $55 each and
there is a $25 service fee added to the total ticket cost. If Daniella has $100 savied, how much more does she
need to save to buy the concert tickets?

Answers

Answer:

60

Step-by-step explanation:

ingressos: 55 x 2 = 110

25 x 2= 50  Tax

110+50=160 total

160-100= 60  

10×10×10×10 equals 1,000

Answers

Answer:

yesss it does

Step-by-step explanation:

CONGRATULATIONSSSSS

Answer:

Incorrect

Step-by-step explanation:

10x10x10x10 or 10 to the 4th power has 4 0's and 1,000 only has 3. So, 10x10x10x10=10,000

Let’s say that you put a cup of cold water in one room and a cup of hot water in another room. Both rooms are room-temperature. Why does the cold water get warmer? Why does the hot water get cooler?

Answers

The motion of molecules determines temperature. The faster the particles move, the higher the temperature will be.

A cold cup of water will warm up to room temperature because the energy of the air in the room transfers to the cold water to make the water molecules move faster. The energy goes from hot to cold. The energy transfer is due to the molecules colliding into one another.

The hot cup of water cools down because the energy of the water molecules leaks out to the surrounding air to warm up the air around it, which is why you can feel the heat of the steam of water.

As for why you can feel cold things, its because the energy from your hand moves toward the cold object (again energy going from hot to cold), which makes your brain perceive the cold object.

Write 6.88 billion in standard form.

Answers

Answer:

The standard form would be 6,880,000,000..

It is written as 6,880,000,000

Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I Draw me.

Answers

A rectangle.

If you don’t know how to draw one just look it up.

Hope this helps!

A second number is 9 times a first number. A third number is 100 more than the first number. If the sum the three numbers is 694, find the numbers.

Answers

Answer:

54, 486, 154

Step-by-step explanation:

x+9x+100+x= 694

11x= 694-100

11x=594

x= 54

54×9=486

54+100= 154

54+486+154=694.

Which representation shows a proportional relationship between x and y?

Answers

Answer:  D

Step-by-step explanation:

To have a proportional relationship, the value of y divide by x has to have the same constant value and if you were to graph it, it has to go through the origin.

A is not proportional because it is not going through the origin.

B is also not proportional because it is also not going through the origin.

Now to find out if C is proportional divide the y value by x so see if they all have a constant change.

8/2 =4

16/4 = 4

24/8 = 3

32/ 12 = 2.6  

This is also not proportional .

D. 3/2 = 1.5

   6/4 = 1.5

 12/ 8 = 1.5  

 18/12 = 1.5  

This represents a proportional relationship  because they all have a constant change

The proportional relationship between x and y will be given by option D.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let's check all the options:

Option A because the line has intercept.

Option B because the line is zero.

Option C:

The slope is given as,

Slope = (16 - 8) / (4 - 2) = 4

Slope = (24 - 16) / (8 - 4) = 2

Slope = (32 - 24) / (12 - 8) = 2

Option D:

The slope is given as,

Slope = (6 - 3) / (4 - 2) = 3/2

Slope = (12 - 6) / (8 - 4) = 3/2

Slope = (18 - 12) / (12 - 8) = 3/2

The proportional relationship between x and y will be given by option D.

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if a real estate agent sold a piece of land for 580000. how much commission did he/she get at 2.5%​

Answers

Answer:

$14500

Step-by-step explanation:

It wuld be 580,000 X 0.025=14500

Lydia was doing (blank) without realizing it was based on Whole Number Properties.

Answers

Answer: division
Explanation: just divide
Your welcome

which angles are supplementary to each other?

Answers

option c. ..............

A school have 764 students of the students 118 are in the third grade. Which equation can be used to find s, the total of students in all of the other grades?

Answers

Answer:

764 - 118 = 646

Step-by-step explanation:

Answer:

subtract 118 from 764 and that's the rest of the students

A solid is composed of squares and equilateral triangles. Its net is shown below: The area of each triangle is 16 square units. The surface area of the triangular prism is _____ square units. (Input whole number only)

Answers

Answer:

12 becayse u mulitigigivuvuu


Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
8
9
10
11
please help!!!!

Answers

Answer:

9

Step-by-step explanation:

12×9=108 108>105 so it can't be any other number cuz we go too high or too low

Answer:

9

Step-by-step explanation:

Find the solution to the initial value problem
y′′+8y′+16=0, y(−1)=2, y′(−1)=3.

Answers

Answer:

y = (11x + 13)e^(-4x-4)

Step-by-step explanation:

Given y'' + 8y' + 16 = 0

The auxiliary equation to the differential equation is:

m² + 8m + 16 = 0

Factorizing this, we have

(m + 4)² = 0

m = -4 twice

The complimentary solution is

y_c = (C1 + C2x)e^(-4x)

Using the initial conditions

y(-1) = 2

2 = (C1 -C2) e^4

C1 - C2 = 2e^(-4).................................(1)

y'(-1) = 3

y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)

3 = -4(C1 - C2)e^4 + C2e^4

-4C1 + 5C2 = 3e^(-4)..............................(2)

Solving (1) and (2) simultaneously, we have

From (1)

C1 = 2e^(-4) + C2

Using this in (2)

-4[2e^(-4) + C2] + 5C2 = 3e^(-4)

C2 = 11e^(-4)

C1 = 2e^(-4) + 11e^(-4)

= 13e^(-4)

The general solution is now

y = [13e^(-4) + 11xe^(-4)]e^(-4x)

= (11x + 13)e^(-4x-4)

John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour. How many kilowatt hours can he use and keep his monthly cost no more than $109

Answers

Answer:

71.63 kilowatts hours

Step-by-step explanation:

We are told in the question:

John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour.

We are to find, How many kilowatt hours can he use and keep his monthly cost no more than $109.

Step 1

$109 - $20.90

= $88.1

$88.1 is the amount left to spend on killowatts of electricity per hour after removing the normal monthly electricity bill in a month

Step 2

$1.23 = 1kilowatts per hour

$88.1 = y kilowatts per hour

Cross Multiply

= $1.23 × y kilowatts per hour = $88.1 × 1 kilowatts per hour

y kilowatts per hour = $88.1 × 1 kilowatts per hour/ $1.23

= 71.62601626kilowatts hour.

Approximately = 71.63 kilowatts hour

Therefore, John can use 71.63 kilowatts per hour and keep his monthly cost no more than $109

Answer:

71

kilowatt hours can he use and keep his monthly cost no more than $109

HELP ME PLS I DONT UNDERSTAND :(((( WILL MARK BRAINLIEST AND ROBUX

Answers

Answer:

H  -2 ≤x≤4

Step-by-step explanation:

The domain is the input values or the x values

-2 ≤x≤4

Answer:

H

Step-by-step explanation:

You can see because the answer starts with -2.

Write the number that represents the decimal Three and five hundreths. Write in decimal

Answers

Answer:

3.05 is the answer.

Solve for x:-2(x+3)=-2(x+1)-4

Answers

Answer:

  x is any real number

Step-by-step explanation:

The simplified form of the equation is ...

  -2x -6 = -2x -2 -4

  -2x -6 = -2x -6 . . . . . . . . true for any x

x is any real number.

___

The equation effectively resolves to 0x=0, which will always be true for any value of x.

Sophia is designing a new welding shop for the local high school. Where should the compressed gas and fuel cylinders be stored?​

Answers

Answer:

Store compressed gas cylinders in cool, dry, well ventilated areas. make sure the temperature of the storage room never exceeds 52°C. Store, handle, and use compressed gas cylinders away from incompatible materials and ignition sources

Answer:

The gas and fuel should be compressed in cool and dry place.

Find an equation of the plane.The plane through the point(4, −3, −1)and parallel to the plane 6x − y − z = 6

Answers

Both planes have the same normal vector:

[tex]6x-y-z=6\implies\mathbf n=\langle6,-1,-1\rangle[/tex]

The plane we want must contain the point (4, -3, -1), so its equation would be

[tex]\mathbf n\cdot\langle x-4,y+3,z+1\rangle=0[/tex]

[tex]\implies 6(x-4)-(y+3)-(z+1)=0[/tex]

[tex]\implies\boxed{6x-y-z=28}[/tex]

Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle

Answers

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

What is this called ........................

Answers

Answer:

C

Step-by-step explanation:

Alternate interior angles are next to each other. Sorry if im wrong.

Josue ran 6/10 of a mile and jogged 4/10 of a mile. What is the difference in simplest form

Answers

Answer:

1/5

Step-by-step explanation:

5
5.
Madeline is making hummus for a potluck. Usually she uses 3 cloves of garlic and
17 ounces of chick peas, but this time she needs to serve more people. If she is
using 68 ounces of chick peas, how many cloves of garlic will she need?
54
12
9
15

Answers

the answer is b (12)

Find the difference quotient and simplify your answer.
f(x) = x2 – 2x + 6,
h = 0
h
f(8 + h) – f(8),

Answers

We're given that

[tex]f(x)=x^2-2x+6[/tex]

which means

[tex]f(x+h)=(x+h)^2-2(x+h)+6=x^2+2xh+h^2-2x-2h+6[/tex]

When we subtract these, several terms cancel:

[tex](x^2+2xh+h^2-2x-2h+6)-(x^2-2x+6)=2xh+h^2-2h[/tex]

So the difference quotient is

[tex]\dfrac{f(x+h)-f(x)}h=\dfrac{2xh+h^2-2h}h[/tex]

and since h ≠ 0, we can cancel it out to end up with

[tex]\dfrac{f(x+h)-f(x)}h=2x+h-2[/tex]

Now plug in x = 8 (this could have been done at any prior point):

[tex]\dfrac{f(8+h)-f(8)}h=14+h[/tex]

How do you Simplify the expression completely.

c(4b3+3a)+b(2cb2−6ac)
Click

Answers

Answer:

c×3 (2 b^3 - 2 a b + a)

Step-by-step explanation:

Simplify the following:

c (4 b^3 + 3 a) + b (2 c b^2 - 6 a c)

Hint: | Factor common terms out of 2 c b^2 - 6 a c.

Factor 2 c out of 2 c b^2 - 6 a c:

c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a)

Hint: | Pull a common factor out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a).

Factor c out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a), resulting in c ((4 b^3 + 3 a) + b×2 (b^2 - 3 a)):

c (4 b^3 + 3 a + 2 b (b^2 - 3 a))

Hint: | Distribute 2 b over b^2 - 3 a.

2 b (b^2 - 3 a) = 2 b^3 - 6 a b:

c (4 b^3 + 3 a + 2 b^3 - 6 a b)

Hint: | Group like terms in 4 b^3 + 3 a - 6 a b + 2 b^3.

Grouping like terms, 4 b^3 + 3 a - 6 a b + 2 b^3 = (4 b^3 + 2 b^3) - 6 a b + 3 a:

c (4 b^3 + 2 b^3) - 6 a b + 3 a

Hint: | Add like terms in 4 b^3 + 2 b^3.

4 b^3 + 2 b^3 = 6 b^3:

c (6 b^3 - 6 a b + 3 a)

Hint: | Factor out the greatest common divisor of the coefficients of 6 b^3 - 6 a b + 3 a.

Factor 3 out of 6 b^3 - 6 a b + 3 a:

Answer: c×3 (2 b^3 - 2 a b + a)

Is 1 1/4 a rational number?

Answers

Answer:

Hey there!

1 1/4 is a rational number because it can be expressed as a fraction.

Let me know if this helps :)

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