write 1/6 as a percent

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Sure, here are the solutions for each equation:

3(x-5) = 2(11) has a solution of x = 7.

4(3x+7) = 512x + 8 has no real solution.

3(x+1)- 2x = x + 3 has a solution of x = 9.

3 = 3 is true for all values of x, so it doesn't have a specific solution.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.

Here,

1. 3(x-5) = 2(11)

To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.

2. 4(3x+7) = 512x + 8

To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.

3. 3(x+1)- 2x = x + 3

To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.

4. 3 = 3

This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.

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The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

p=-10

Step-by-step explanation:

-10-20=-30

Subtracting a negative from a negative will result in a higher negative, the same can be said for -10-20. Removing 10 from -20 will result in a lower answer. This is 20.

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e  mean  μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

\(\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}\)

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule:  is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\(\sqrt{-1}\))^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

Answer:

13.

Step-by-step explanation:

(3 - 2i)(3 + 2i)

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4\(\sqrt{-1} ^{2}\)

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

What is Place value?

The value of each digit is called place value.

The given condition to find the number is;

Number that have a digit in the ones place is 1/10 of the value in the tens place.

Now, In the number 3,222;

2 is 1/10 of the 20 in the tens place.

And, In the number 1,055

5 is 1/10 of the tens value of 50.

So, The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

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The area of the shaded region is πr² - (2 × 13.5π).

Given is a shaded region inside a circle.

The area of each section is -

A{S} = 13.5π

We can write the area of the shaded region as -

πr² - (2 × 13.5π)

Therefore, the area of the shaded region is πr² - (2 × 13.5π).

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Answer:

2

Step-by-step explanation:

hope this helps

please give brainliest. Thanks! :)

The LCM of 92 and 146 is 6716; and the HCF of 92 and 146 is 2

From the question, we are to determine the LCM and the HCF of the given numbers.

The given numbers are 92 and 146

Determining the LCM

To determine the LCM, we will list the prime factors of each number

Factors of 92 = 1, 2, 4, 23, 46 and 92

Factors of 146 = 1, 2, 73, 146

To determine the LCM, we will find the product of the prime factors

LCM of 92 and 146 = 2 × 2 × 23 × 73

LCM of 92 and 146 = 6716

Determining the HCF

To determine the HCF of 92 and 146, we will list the prime factors of each number

Factors of 92 = 1, 2, 4, 23, 46 and 92

Factors of 146 = 1, 2, 73, 146

From the factors, we can observe that the highest common factor is 2

Hence, the LCM is 6716 and the HCF is 2

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Answer:

If I am correct the answer should be graph it !!!! first quadrant

corners

(0,0)

(0,3)

(1.5 , 3.5) intersection

(5,0)

evaluate 6x-4y at those corners

0

-12

-5

+9

makes sense, need big x and small y :)

Step-by-step explanation:

I apologize if I am incorrect I am only in 7th grade but I am pretty intelligent so please try it out!

Answer:

3/6^2

Step-by-step explanation:

First option

There are 555 different ways for David to choose his fish according to the given combinations.

David to choose his fish, we need to consider all the possible combinations of fish he can select.

Let's break down the calculations for each combination:

Guppy fish and an angel fish:

David can choose one guppy fish from 7 options and one angel fish from 5 options.

This gives us a total of 7 × 5 = 35 different combinations.

Tetra fish and an angel fish:

David can choose one tetra fish from 13 options and one angel fish from 5 options.

This gives us a total of 13 × 5 = 65 different combinations.

Guppy fish, tetra fish, and an angel fish:

David can choose one guppy fish from 7 options, one tetra fish from 13 options, and one angel fish from 5 options.

This gives us a total of 7 × 13 × 5 = 455 different combinations.

To find the total number of different ways for David to choose his fish, we sum up the combinations from each category:

35 + 65 + 455 = 555

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The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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The strongest classification of the quadrilateral with the given vertices is rhombus.

The vertices of the quadrilateral is given as,

E(5, 4), F(9, 2), G(5, 0) and H(1, 2).

Find the adjacent sides EF and FG whether they are equal.

Using the distance formula,

EF = √(9 - 5)² + (2 - 4)²  = √(16 + 4) = √20

FG = √(5 - 9)² + (0 - 2)² = √(16 + 4) = √20

Adjacent sides are equal.

So they are either square or rhombus.

Find the lengths of the diagonals whether they are equal.

EG = √(5 - 5)² + (0 - 4)²  = √(0 + 16) = 4

FH = √(1 - 9)² + (2 - 2)²  = √(64 + 0) = 8

Diagonals are not equal.

So it is a rhombus.

Hence the quadrilateral is a rhombus.

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The line that is parallel to ​ line CD ​ in the figure is A. Line FA

From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.

Parallel lines are lines on a flat surface that never meet or cross each other.

When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.

Some properties of parallel lines include:

From the given figure, we can see that FA||CD.

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Simple interest formula = I = PRT where I = interest, P = principal, r = interest rate and t = time.

i = 806.20, p = 14,000 t = 250 days.

Change t to be fraction of a full year: t = 250/365

Now solve for r:

806.20 = 14000 x r x 250/365

Simplify :

806.20 = r x 9589.04

Divide both sides by 9589.04:

r = 806.20 / 9589.04

r = 0.08407

Multiply by 100 to get percent:

r = 8.41% (rounded to nearest hundredth)

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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_____________________________

Hey!!

Solution,

X=5

Now,

y=x^2+2x

=(5)^2+2*5

=25+10

= 35

So the value of y is 35

hope it helps

Good luck on your assignment

___________________________

For the given equation  y = x² + 2x, the value of y when x = 5 is, 35

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An equation, y = x² + 2x

The value of y when x is equal to 5 = ?

after putting value of x in a equation

⇒ y = 5² + 2 × 5

⇒ y = 25 + 10

⇒ y = 35

Hence, the value of y is 35

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Answer:

+40 to both sides of the = sign.

Step-by-step explanation:

x2-40=0

    +40=+40

x2=40

 /2=/2

x=20