The radius of Earth's orbit is approximately 15,000,000,000 meters. The radius of Mercury's orbit is 5. 8 × 109 meters. What is the difference of their radii? A. 4. 3 × 1010 B. 4. 3 × 1011 C. 9. 2 × 109 D. 9. 2 × 1010 E. 9. 2 × 1011.

The headings that best complete the chart are "x: frequency" and "y: amplitude".

The information in the chart suggests that column 1 is related to changes in the frequency of a wave, while column 2 is related to changes in the height of a wave. Based on this information, the headings that best complete the chart are:

x: frequency

y: amplitude

Frequency refers to the number of wave cycles that occur in a second, and it is typically measured in Hertz (Hz). Amplitude refers to the height of a wave from its resting position to the highest point of the wave. These terms accurately describe the information presented in the chart, so they are the best headings to complete the chart.

Therefore, the headings that best complete the chart are "x: frequency" and "y: amplitude".

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Answer:

The correct answer is option D, or:

X: FM

Y: AM

Step-by-step explanation:

Edgen 2023!

Answer:

A banana costs $0.05

Step-by-step explanation:

Let a = the cost of an apple

Let b = the cost of a banana.

a + b = 1.10

a = b + 1  Substitute b + 1 for a in the bold equation.

b + 1 + b = 1.10  Combine like terms

2b + 1 = 1.10  Subtract 1 from both sides

2b = .10  Divide both sides by 2

b = .05

An apple would cost

a = .05 + 1

a = 1.05

An apple and a banana together would cost 1.10

a + b = 1.10

1.05 + .05 = 1.10

1.10 = 1.10 checks.

Helping in the name of Jesus.

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Answer: The cost of the banana is $0.05.

This is an exercise in elementary algebra, which is a branch of mathematics that focuses on the study of the fundamental operations and properties of numbers and algebraic expressions. In particular, in elementary algebra you learn to solve problems by manipulating algebraic expressions and applying basic algebraic rules and procedures.

One of the fundamental skills of elementary algebra is solving systems of linear equations with two variables. Such a system is a set of two or more equations involving two or more variables. In the case of a system of two linear equations with two variables, the solution of the system consists in finding the numerical values of the two variables that satisfy both equations.

The substitution technique is one of the main tools used to solve systems of linear equations with two variables in elementary algebra. This technique consists of isolating one of the variables in one of the equations and substituting that expression in the other equation. The resulting equation is then solved to find the value of the other variable. Finally, this value is substituted into one of the original equations to find the value of the other variable.

Let x be the cost of the banana.

From the statement, we know that:

Solving the equation:

2x + $1 = $1.10

2x = $1.10 - $1

2x = $0.10

x = $0.10 / 2

x = $0.05

Therefore, the cost of the banana is $0.05.

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Answer:

24,28,32,36,40,.....

Step-by-step explanation:

It’s multiples of 4

Answer:

\(a_{n}\) = 4n + 4

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence.

d = 12 - 8 = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 4 , then

\(a_{n}\) = 8 + 4(n - 1) = 8 + 4n - 4 = 4n + 4

Answer:

3 \(\frac{1}{2}\)

Step-by-step explanation:

Given

\(\frac{\frac{1}{2} }{4}\) = \(\frac{x}{28}\) ( cross- multiply )

4x = \(\frac{1}{2}\) × 28 = 14 ( divide both sides by 4 )

x = \(\frac{14}{4}\) = \(\frac{7}{2}\) = 3 \(\frac{1}{2}\)

The 17th term of the given geometric sequence, 3, 12, 48, 192, . . . , is 1.288490189 x 10^10.

A geometric sequence refers to a sequence of numbers, which the next term is obtained by multiplying the previous term with a constant, called a ratio.

a(n) = a r^(n-1)

Where:

a(n) = nth term

r = ratio

Given the geometric sequence 3, 12, 48, 192, . . .

Find the ratio,

r = a(n)/a(n-1)

r = a(2)/a(1)

r = 12/3

r = 4

Notice that the ratio between two succeeding terms is always 4.

Use the formula to find the 17th term of the geometric sequence.

a(n) = a r^(n-1)

a(17) = 3[4^(17-1)]

a(17) = 3(4^16)

a(17) = 1.288490189 x 10^10

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Answer:

0.5

Step-by-step explanation:

Answer:

1.75 i hope this help

Step-by-step explanation:

Answer:

30+25=55°

180-55=125°

x=125°

180-125=55°

y=55°

Answer:

y = 55

solution:

180-30-25=125

180-125=55

Answer:

25

Step-by-step explanation:

Substituting x = 8 into the expression

5(8 + 1) - 20

= 5(9) - 20

= 45 - 20

= 25

Answer:

25

Step-by-step explanation:

see Image below:)

The solution for the variables A through F in the given equations is A = 2, B = 0, C = 3, D = 4, E = 1, and F = 5.

Let's analyze each equation one by one using the digits 0 through 5.

Equation 1: A + A + A = A. The only digit that satisfies this equation is A = 2.

Equation 2: B + C = B. Since C cannot be equal to 0 (as all variables must have unique values), the only possibility is B = 0 and C = 3.

Equation 3: D • E = D. Since D cannot be equal to 0 (as all variables must have unique values), the only possibility is D = 4 and E = 1.

Equation 4: A - E = B. With A = 2 and E = 1, we find B = 1.

Equation 5: B^2 = D. With B = 0, we find D = 0.

Equation 6: D + E = F. With D = 0 and E = 1, we find F = 1.

Therefore, the solution for the variables A through F is A = 2, B = 0, C = 3, D = 4, E = 1, and F = 5.


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Answer:

H

Step-by-step explanation:

\(0.8 \times 0.8 = 0.64\)

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

4. The magnitude of angle S is 40°. Answer A.

5. The value of x is 48°. Answer B.

6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.

7. The system of equations has infinitely many solutions. Answer D.

Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle

The tangent line of two parallel lines is equals

4. From the picture

5. Look at the top image on the right.

6. Solve the system of equations with the substitution method

7. The system of equations

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Answer:

6 onuces per serving

Step-by-step explanation:

Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.

The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.

Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.

The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.

The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.

They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.

Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.

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The number of kcal that would be available if a client has just eaten a food consisting of 4 grams of protein, 18 grams of carbohydrate, and 1 gram of fat will be 97 kcal.

To calculate this, we need to multiply the number of grams of protein by 4 (because there are 4 kcal in 1 gram of protein), the number of grams of carbohydrate by 4 (because there are also 4 kcal in 1 gram of carbohydrate), and the number of grams of fat by 9 (because there are 9 kcal in 1 gram of fat).

So, for this food, we have:

4 grams of protein x 4 kcal/gram = 16 kcal from protein
18 grams of carbohydrate x 4 kcal/gram = 72 kcal from carbohydrate
1 gram of fat x 9 kcal/gram = 9 kcal from fat

Adding these up, we get:

16 kcal + 72 kcal + 9 kcal = 97 kcal

So, the total number of kcal in this food is 97 kcal.

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Answer:

A. x-6=6

Step-by-step explanation:

x-6=6

take the 6 to the other side

x=6+6

x=12

The amount of water needed to drink with their 50 guests is 900 liters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

In a town, 100 people need 600 liters of water to drink every day.

This can be written as,

100 people = 600 liters of water

50 guests are added.

The number of people = 100 + 50 = 150 people.

Now,

100 people = 600 liters of water

Multiply 150/100 on both sides.

150 people = 150/100 x 600 litres of water

150 people = 900 liters of water

Thus,

The amount of water needed to drink with their 50 guests is 900 liters.

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The number of gallons of water that the pool will be able to hold would be = 24,600 gallons.

To calculate the number of gallons of water, the volume of the pool should first be calculated as follows:

The pool is divided into two shapes to obtain a trapezium and a rectangular prism.

Volume of rectangular prism= lwh

length= 30ft

width= 4ft

height= 20ft

Volume= 30×4×20= 2,400ft³

Volume of trapezoid prism;

= 1/2(a+b)hl

where;

a= 8ft

b= 30-16= 14ft

h= 8-4= 4ft

l= 20ft

Volume= 1/2(8+14)4×20

= 1/2(22)80

= 880ft³

The volume of structure;

= 2,400ft³+880ft³

= 3,280ft³

But 1ft³ = 7.5 gallons

3,280ft³ = X gallon

make X gallons the subject of formula;

X gallons= 7.5×3280= 24,600 gallons

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Answer:

for the firsts ones :

1. 12 x 2 x 5

2. 4 x 11 x 2,25

3. 6.5 x 22.6 x 10

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

The formula for the exponential function giving the balance in your account as a function of time, in years, since your initial investment is B(t) = 500 * (1 + 0.035)^t.

where B(t) represents the balance in the account after t years.

In this scenario, the initial investment is $500, and the yearly interest rate is 3.5%. To determine the balance in the account after a certain number of years, we use the formula for compound interest.

The general formula for compound interest is given by B(t) = P * (1 + r)^t, where B(t) is the balance after t years, P is the principal (initial investment), r is the interest rate (expressed as a decimal), and t is the time in years.

In this case, the principal (initial investment) is $500, and the interest rate is 3.5% or 0.035 as a decimal.

Therefore, the formula for the balance in the account becomes B(t) = 500 * (1 + 0.035)^t.

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The most common type of observational study is a Survey.

Observe the change in behavior of the independent variable. Don't add prejudice. Use surveys to get information about variables.

In the study, the independent variable is observed only for its behavior. Variables naturally exhibit variation. Researchers must not be biased when conducting research. Fundamentally, surveys help us obtain information about social parameters.

Step: 1

An experiment is a well-planned study of any particular cause and effect relationship between variables of interest. A debate is the form of discussion in which a conclusion is to be summarized at last. The statistical inference is a very crucial subject involving the predictions about population parameters based on sample statistics. The survey is the method of collection of information on variables which are not under the control of the experimenter.

The analysis defines various terminologies intermixed with the right answer to the question of interest.

Step: 2

An observational study is mostly conducted in the form of questionnaire. The questionnaire involves question regarding the issue to be studied. The most common type of observational study is a Survey.

Most of the observational studies are carried out in the form of surveys.

The most common type of observational study is a Survey.

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Answer:

The answer to this would be D. -4

Plug in 2 for x -> 4(2)-12 -> 8-12 -> -4

Answer:

f(2) =-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

       =8-12

        =-4

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!