Express 1.07 into percentage​

To find the volume of a solid obtained by rotating a region around the x-axis, you can use the disk or washer method. Divide the region into small disks or washers and find the volume of each by integrating over the interval.

Let's look at the part of the region between x=0 and x=1. To rotate this part around the y-axis, we'll need to find the radius of each shell. The radius of each shell is just the distance from the y-axis to the point on the curve, so it's equal to x. The height of each shell is just the height of the region, which is given by y. So the volume of this part of the region is: V1 = ∫[0,1] 2πxy dx. The part of the region between x=1 and x=4. To find the radius of each shell, we'll need to use the equation of the circle x^2 + y^2 = 4. Solving for y, we get y = √(4-x^2). So the radius of each shell is equal to √(4-x^2). The height of each shell is still just y. So the volume of this part of the region is: V2 = ∫[1,4] 2πy√(4-x^2) dx

The part of the region between x=4 and x=5. To find the radius of each shell, we'll need to use the equation of the line y=x-4. So the radius of each shell is equal to x-4. The height of each shell is still just y. So the volume of this part of the region is: V3 = ∫[4,5] 2πy(x-4) dx. Adding up these three volumes, we get the total volume: V = V1 + V2 + V3

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The measure of each exterior angle of a regular 10-gon is  less than the measure of each exterior angle of a regular 7-gon. Option C

First, we need to know the properties of polygons.

The formula for calculating the interior angles of a polygon is expressed as;

(n -2)180

such that n is the number of the sides of the polygon

Note that the sum of exterior angle

360/n

for 10, we have;

360/10 = 36 degrees

360/7 = 52. 4

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Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

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Answer:

Try 2

Step-by-step explanation:

Mean means add all the numbers and divide by how many there are so:

1+2+3+4=10

Then divide how many there are which is 5

so lastly 10÷5=2

Answer:

Parte 1

a) {0, 1, 2, 3, 4}

b) {11, 13, 17, 19}

c) {12, 24, 36, 48, 60}

d) Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}

Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Parte 2

a) {x ∈ Z / x > 10}

{11, 12, 13, 14, 15, ....}

b) {x ∈ Z / 2x}

{2, 4, 6, 8, 10, 12, ....}

c) {x ∈ Z / 1 ≤ x ≤ 5}

{1, 2, 3, 4, 5}

d) {x ∈ N / x < 10}

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}

e) {x ∈ Z / 2x < 15}

{2, 4, 6, 8, 10, 12, 14}

Step-by-step explanation:

Parte 1

a.) El conjunto de enteros no negativos menos de cinco.

Los enteros son números enteros. Los enteros no negativos son enteros positivos y 0 (0 es un entero neutral ya que es un número entero)

{0, 1, 2, 3, 4}

b.) El conjunto de números primos entre 10 y 20.

Los números primos son números divisibles por solo 1 y ellos mismos.

{11, 13, 17, 19}

c.) El conjunto de múltiplos de 12 que son menores de 65.

Los múltiplos de 12 son números que surgen cuando 12 se multiplica por números enteros.

{12, 24, 36, 48, 60}

d.) A = {x ∈ Z / 3 < x < 12}. y. B = {x / x es un número de un dígito}.

El conjunto A se refiere a todos los números enteros entre 3 y 12 (no incluido)

Conjunto A = {4, 5, 6, 7, 8, 9, 10, 11}

El conjunto B es un conjunto de todos los números de un dígito.

Conjunto B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Parte 2

a. El conjunto de enteros mayores que diez.

El conjunto variará de 11 a infinito.

Se escribirá como {x ∈ Z / x> 10}

{11, 12, 13, 14, 15, ....}

b.) El conjunto de enteros pares.

El conjunto de enteros pares comenzará desde 2 e incluirá todos los números pares hasta el infinito.

Se escribirá como {x ∈ Z / 2x}

{2, 4, 6, 8, 10, 12, ....}

c.) El conjunto {1, 2, 3, 4, 5}.

Este es un conjunto de enteros entre 1 y 5 (inclusive)

Se escribirá como {x ∈ Z / 1 ≤ x ≤ 5}

{1, 2, 3, 4, 5}

d.) El conjunto de números naturales menores de 10.

Los números naturales son números de conteo.

Se escribirá como {x ∈ N / x < 10}

Algunos casos incluyen 0 como número natural y otros no.

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} o {1, 2, 3, 4, 5, 6, 7, 8, 9}

e.) El conjunto de múltiplos de 2 que son menores que 15.

Se puede escribir como {x ∈ Z / 2x <15}

{2, 4, 6, 8, 10, 12, 14}

¡¡¡Espero que esto ayude!!!

In English

Part 1

a. The set of nonnegative integers less than five.

Integers are whole numbers. Non-negative integers are positive integers and 0 (0 is a neutral integer as it is a whole number)

{0, 1, 2, 3, 4}

b. The set of prime numbers between 10 and 20.

Prime numbers are numbers divisible by only 1 and themselves.

{11, 13, 17, 19}

c. The set of multiples of 12 that are less than 65.

Multiples of 12 are numbers that arise when 12 is multiplied by whole numbers.

{12, 24, 36, 48, 60}

d. A = {x ∈ Z / 3 < x < 12}. and. B = {x / x is a one-digit number}.

Set A refers to all integer numbers between 3 and 12 (non-inclusive)

Set A = {4, 5, 6, 7, 8, 9, 10, 11}

Set B is a set of all the one digit numbers.

Set B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Part 2

a. The set of integers greater than ten.

The set will range from 11 to infinity.

It'll be written as {x ∈ Z / x > 10}

{11, 12, 13, 14, 15, ....}

b. The set of even integers.

The set of even integers will start from 2, and include all the even numbers till infinity.

It'll be written as {x ∈ Z / 2x}

{2, 4, 6, 8, 10, 12, ....}

c. The set {1, 2, 3, 4, 5}.

This is a set of integers between 1 and 5 (inclusive)

It'll be written as {x ∈ Z / 1 ≤ x ≤ 5}

{1, 2, 3, 4, 5}

d. The set of natural numbers less than 10.

Natural numbers are counting numbers.

It'll be written as {x ∈ N / x < 10}

Some cases include 0 as a natural number and some others do not.

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} or {1, 2, 3, 4, 5, 6, 7, 8, 9}

e. The set of multiples of 2 that are less than 15.

It can written as {x ∈ Z / 2x < 15}

{2, 4, 6, 8, 10, 12, 14}

Hope this Helps!!!

Answer:

final price:400

tax amount:100

Answer:

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

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

check

90 + 30 + 60 = 180°

the answer is good

Answer:

(3, 4)

Step-by-step explanation:

Using elimination method:

3x + 8y = 41

-3(x + 2y = 11)

-3x -6y = -33

2y = 8

y = 4

x = 3 (plug y back into the equation)

(3, 4)

Answer:

\(3x + 8y = 41 - - (1) \\ x + 2y = 11 - - (2) \\ (2) \: x + 2y = 11 \\ x = 11 - 2y - (3) \\ (3)in(1) is \: \: 3(11 - 2y) - 8y = 41 \\ 33 - 6y + 8y = 41 \\ 33 + 2y = 41 \\ 2y = 41 - 33 \\ 2y = 8 \\ y = \frac{8}{2} \\ y = 4 \\ y = 4 \: in \: (2) \: is \: x + 2(4) = 11 \\ x + 8 = 11 \\ x = 11 - 8 \\ x = 3\)

Answer:

9514 1404 393

Answer:

  A:  (f∘g)(x) = x

  B:  (g∘f)(x) = x

  C:  the functions are inverses

Step-by-step explanation:

A: (f∘g)(x) = f(g(x)) = f(2x +14)

  = 1/2(2x +14) -7 = x +7 -7 = x

  (f∘g)(x) = x

__

B: (g∘f)(x) = g(f(x)) = g(1/2x -7)

  = 2(1/2x -7) +14 = x -14 +14 = x

  (g∘f)(x) = x

__

C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.

Answer:

vertex = ( - \(\frac{3}{2}\),  \(\frac{75}{4}\) )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

Given

y = - 3(x - 1)(x + 4) ← expand the factors using FOIL

  = - 3(x² + 3x - 4) ← distribute parenthesis by - 3

  = - 3x² - 9x + 12 ← in standard form

with a = - 3 and b = - 9 , thus

\(x_{vertex}\) = - \(\frac{-9}{-6}\) = - \(\frac{3}{2}\)

Substitute this value into the equation for corresponding value of y

y = - 3( - \(\frac{3}{2}\) - 1)( - \(\frac{3}{2}\) + 4)

  = - 3 × - \(\frac{5}{2}\) × \(\frac{5}{2}\)

  = - 3 × - \(\frac{25}{4}\)

  =  \(\frac{75}{4}\)

Thus

vertex = ( - \(\frac{3}{2}\), \(\frac{75}{4}\) )

Answer:

Y

Step-by-step explanation:

Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)

Answer:

\(x=70\)

Step-by-step explanation:

We know that the car travels at speed \(x+30\) per hour. Thus, after \(h\) hours, it will have traveled \(h(x+30)\) kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

\(300=3(x+30)\)

\(100=x+30\)

\(x=70\)

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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Rational numbers are numbers which can be written in the form of a/b where a and b are integers. The given statement that "the sum of two rational numbers is always rational".

Rational numbers are numbers which can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers which are not rational numbers.

For example √2, π, √13, etc.

It is important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

Since rational number include integers and finite decimal numbers, also the decimal are non-repeating and non-reoccurring. Therefore, the sum of two rational number is always rational.

Hence, the given statement that "the sum of two rational numbers is always rational".

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Triangle ABC is congruent to Triangle CDA using the SSS rule.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

SSS rule states that,

If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

To prove:

ΔABC ≅ ΔCDA.

AB = DC ( given)

AD = BC (given)

AC = AC (common to both the triangles)

ΔABC ≅ ΔCDA ( By SSS rule )

Thus,

ΔABC ≅ ΔCDA by SSS rule.

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Answer:

1. f & c,     d & e,

2. h & a,   g & b

3. h & d,    f & b,   g & c,     a & e

here ya go, i hope this is correct if i remember right

Step-by-step explanation:

Step-by-step explanation:

there is no explanation about x so wierd

Answer: The domain of a function refers to the set of all possible input values for which the function is defined. In the case of the function y = 2x - 6, the domain is all real numbers since the function is defined for any value of x.

The range of a function, on the other hand, refers to the set of all possible output values that the function can produce. To find the range of the function y = 2x - 6, we need to determine the lowest and highest values that the function can produce.

Since the coefficient of x in the function is positive (i.e. 2), the function is increasing as x increases. This means that as x increases, the value of y also increases without bound. Similarly, as x decreases, the value of y also decreases without bound.

Therefore, the range of the function y = 2x - 6 is all real numbers.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

To find the change in temperature, we need to subtract the initial temperature from the final temperature:

Change in temperature = Final temperature - Initial temperature

Change in temperature = 67.9 - 83.8

Change in temperature = -15.9

Therefore, the change in temperature is -15.9 degrees, which means the temperature decreased by 15.9 degrees.

The answer is option B, -15.9.

T  C

0  0

5  27.5

10 55

15 82.5

is the correct table

Function assigns the value one set to another. The above table is the correct table and only includes viable values.

A function assigns the value of each element of one set to the other specific element of another set.

The given function of the number of calories burned is c=5.5t, where t is the time, and c is the number of calories. Also, the c is the output of the input t, therefore, the variable t is independent of c while c is the dependent variable.

The viable solution is the solution in which the value of the independent function is greater than or equal to 0. therefore, the table of values that matches the equation,

t                             c = 5.5t

0                            5.5(0) = 0

1                             5.5(1) = 5.5

2                             5.5(2) = 11

3                             5.5(3) = 16.5

4                             5.5(4) = 22

5                             5.5(5) = 27.5

hence, the above table is the correct table and only includes viable values.

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Step-by-step explanation:

General equation : y = mx + c

2y - 4x = 2

2y = 4x + 2

y = 2x + 1

Therefore m = 2 and c = 1.

The area of the entire screen is \(8x^2 + 34x + 8\) square units.

To find the area of the entire screen, you need to multiply its width by its length.
Width = 2x + 8
Length = 4x + 1
Area = Width × Length
Area = (2x + 8) × (4x + 1)
Now, we'll use the distributive property to multiply these expressions:
Area = 2x * 4x + 2x * 1 + 8 * 4x + 8 * 1
Area = 8x^2 + 2x + 32x + 8
Now, we'll combine the like terms:
\(Area = 8x^2 + 34x + 8\)

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Adding the initial consumption value of $5 billion, the national consumption function is: C(y) = 2√(y+1) + 5 (in billions of dollars)

To find the national consumption function C(y), we need to integrate the marginal propensity to consume (MPC) with respect to disposable income (y) and add the initial consumption value.

Given that the marginal propensity to consume is given by: dc/dy = 1/√(y+1)

We integrate dc/dy with respect to y:

∫(dc/dy) dy = ∫(1/√(y+1)) dy

Using the substitution u = y+1, du = dy, the integral becomes:

∫(1/√u) du

Applying the power rule of integration, we get:

2√u + C

Replacing u with y+1, we have:

2√(y+1) + C

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The answer which best explains the author's purpose in the article titled "Issue Overview: Should we have zoos?" is: to demonstrate that while there are valid arguments on both sides of the debate, the pro-zoo side is definitively stronger. The Option C is correct.

Zoo supporters argue that they are an inexpensive way for people to learn about various ecosystems and that the experience provides a sense of wonder. A close encounter with a lion or elephant may inspire someone to take action to save the species.

This is not the same as watching a video or seeing a picture of these animals, zoo supporters argue. A second major argument in favor of zoos is that they preserve species genetic diversity.

However, in more natural enclosures, many people believe it is wrong to keep a wild animal in captivity, regardless of how it is housed. Some activists argue that all living things should have personhood, which means they should have the same rights as humans. They claim that keeping wild animals violates their rights.

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Answer:

to show that there are valid points on both sides of the zoo debate and the debate itself has contributed to progress

Step-by-step explanation:

Answer:

Lysosomes

Step-by-step explanation:

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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The time taken by Peter to arrange the chairs all by himself is 10/3 minutes.

Given that :-

Katrina can arrange the chairs in the classroom in 5 minutes.

One day peter helped her and took both of them 2 minutes to arrange the chairs.

We have to find the time taken by Peter to arrange the chairs all by himself.

LCM (5,2) = 10

Let the total work of arranging the chairs is of 10 units.

We know that,

Efficiency of a person = Total Work/Time taken by person

Hence,

Efficiency of Katrina = 10/5 = 2 units

Efficiency of Katrina + Efficiency of Peter = 10/2 = 5 units

Hence,

Efficiency of Peter = 5 - 2 = 3 units

Hence, time taken by Peter to arrange the chairs all by himself  = 10/3 minutes.

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If your target number of calories to lose weight is 1,703 per day, but you are consuming 2,399 calories per day, then your target is to consume approximately 70% of the calories you are currently consuming.

To find the percentage of the target calories in relation to the current calories, we can divide the target calories by the current calories and multiply by 100. So, the calculation would be:

Percentage = (Target Calories / Current Calories) * 100

Substituting the values, we get:

Percentage = (1,703 / 2,399) * 100 ≈ 70%

Therefore, your target is to consume approximately 70% of the calories you are currently consuming in order to meet your weight loss goal.

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