Emily is adding 51 and 29. Which steps can she use to add the numbers

Answer:

No, some of them are, but not all of them

Step-by-step explanation:

I hope this helped you out!

Answer:

Step-by-step explanation:

No; all multiples are not multiples of 6, for example 3×3 = 9 is not a multiple of 6.

However as 6 = 2×3 all multiples of 6 are also multiples of 3.

Multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60.

The multiples of 6 Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 1

The value of f(3) for the given expression is 8.

What is evaluation of an expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression. The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Given, the expression is 5(x - 1) - 2
Let y = f(x) = 5(x - 1) - 2 = 5x - 5 - 2 = 5x - 7
Therefore, f(3) using the equation above is: f(3) = 5(3) - 7 = 8
Thus, the value of f(3) or y at x = 3 for the given expression is 8.

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Answer:

5x+8

Step-by-step explanation:

\(\frac{15x+24}{3} =\frac{15x}{3} +\frac{24}{3} =5x+8\)

Answer:

5x+8

Step-by-step explanation:

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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Answer:

man I

Step-by-step explanation:

hey

Answer:

manatap Fanny neff

Franko

Step-by-step explanation:

alucard

The sequence of transformations that take quadrilateral ABCD to quadrilateral A'B'C'D' is given by:

Examples of transformations are given as follows, along with explanations on the changes caused by the transformations.

As a dilation changes the side lengths the figure, a dilated figure is not congruent to the original figure, hence a dilation does not happen for this problem.

The first change was in the inclination and orientation of the figure, hence it underwent a rotation. From the movement of the vertices, for example, A to the bottom to the top, B from right to left, the rotation was of 90º clockwise.

Then, the function had the base at the same position, however it moved left, hence the second transformation was a translation left.

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Answer:

Step-by-step explanation:

-3x + 1 + 10x = x + 4

      -1                  -1

        7x  = x  + 3  

       -x          -x

        6x = 3

      ÷6      ÷6

         x = 1/2

Answer: 4th option, 28 = 28

Step-by-step explanation:

    Cross multiplying means we will multiply the numerator of the first fraction by the denominator of the second. Then we will multiply the denominator of the first by the numerator of the second.

-> See attached for a visual example and my work.

             28 = 28, so the fractions are equal.

Answer:

Step-by-step explanation:

2/7=4/14 because 7x4=28 and 2x14=28. so you're gonna see which equals 28. but for example, if it's 10, you do 10/1.

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

Answer:

\(h_{max} = 14.2m\)

\(t = 1.2\)

The height of the diver is 7m

Step-by-step explanation:

Given

\(h(t) =-5t^2 + 12t + 7\)

Solving (a): The maximum height reached

First, we calculate the time to reach the maximum height using:

\(t = - \frac{b}{2a}\) --- maximum of a function

Where

\(a = -5; b = 12; c = 7\)

So, we have:

\(t = -\frac{12}{-2 * 5}\)

\(t = \frac{12}{10}\)

\(t = 1.2\)

So, the maximum height is:

\(h(t) =-5t^2 + 12t + 7\)

\(h(1.2)=-5 * 1.2^2 + 12 * 1.2 + 7\)

\(h(1.2)=14.2\)

Hence:

\(h_{max} = 14.2m\)

Solving (b): Time to reach maximum height

This has been calculated in (a)

\(t = 1.2\)

Solving (c): Height of the board.

This can be calculated by setting \(t =0\) --- i.e. the height of the diver before diving

So, we have:

\(h(t) =-5t^2 + 12t + 7\)

\(h(0) = -5 * 0^2 + 12 * 0 + 7\)

\(h(0) = 7\)

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.

To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.

The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.

From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.

During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.

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The value of x and z are 15 and 4.5 respectively

The triangles in the parallelogram are isosceles. This shows that the base angles are equal

From the given parallelogram, the following are true

3x = 45

x = 45/3

x = 15

Similarly;

10z = 45

z = 45/10

z = 4.5

Hence the value of x and z are 15 and 4.5 respectively

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Answer:

8

Step-by-step explanation:

AC=AB+BC

2X+26=1+x+16

2x-x=1+16-26

X= - 9

Now, AC=2X+26

=2*-9+26

= - 18+26

=8

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

Absolute value which means even negative integers are considered as positive

We can write\(:∫0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

To prove that \(∫0¹(1-x^p)^1/qdx=∫0¹(1-x^q)^1/pdx,\) we use the substitution u = x^p and u = x^q respectively.

Using the substitution method, we have the following:  Let\(u = x^p,\) then \(du/dx = px^(p-1)\)and \(dx = (1/p)u^(1/p - 1) du.\)

Hence we can write\(:∫0¹(1-x^p)^1/qdx = ∫0¹(1-u)^1/qu^(1/p - 1) duLet v = (1 - u), then dv/dx = -du and dx = -dv.\)

Therefore, we can write:\(∫0¹(1-u)^1/qu^(1/p - 1) du = ∫1⁰(1-v)^1/qv^(1/p - 1) dvS\)

Since p and q are both positive, 1/p and 1/q are positive, which implies that the integrals are convergent. Now let us apply the same technique to the other integral. I\(f v = x^q, then dv/dx = qx^(q-1) and dx = (1/q)v^(1/q - 1) dv.\)

Hence we can write:∫\(0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

Using the identity\((1 - u)^1/q = (1 - u^q)^(1/p),\)

we can write:\(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - (x^p)^q)^(1/p)dx = ∫0¹(1 - x^q)^(1/p)dx∫0¹(1-x^q)^1/pdx = ∫0¹(1 - (x^q)^p)^(1/q)dx = ∫0¹(1 - x^p)^(1/q)dx.\)

Hence, we have shown that \(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - x^q)^(1/p)dx.\)

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Answer: 5n+2. 5×3+2=$. 15+2=$. 17=$.

To provide the state diagrams for Turing machines that decide the languages L6 and L7, we need to describe the transitions and states that machines will go through.

a) For language L6, a possible state diagram for the Turing machine would involve states for each substring encountered. The initial state would be a start state, and when the machine reads 0, it transitions to a state representing the substring 0. When it reads 1, it transitions to a state representing the substring 01. If it then reads another 1, it transitions to a state representing the substring 011, which is an accepting state. Similarly, when it reads 0 after 01, it transitions to a state representing the substring 0110. If it reads 1 after 0110, it transitions to a state representing the substring 01101, which is another accepting state.

b) For language L7, the Turing machine needs to keep track of the count of 0's and 1's encountered. It can have states such as S0, S1, S2, and S3, representing the number of 0's encountered. The machine starts in state S0, and upon reading 0, it remains in S0 or moves to state S1. Upon reading 1, it moves to state S2. If another 1 is encountered in S2, the machine moves to a non-accepting state S3. If it reads 0 in S1 or S2, it moves back to S0. If it encounters two 1's and no more 0's, it stays in S2. States S1 and S2 are accepting states, and once the machine reaches either of these states, it halts and accepts the input.

Note: The provided descriptions are high-level explanations, and the actual state diagrams might involve more states and transitions depending on the specific implementation of the Turing machine for each language.

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The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Corbin's account will have a higher balance than Victoria's account at the end of 3 years" is true.

To calculate the balance at the end of 3 years, we can use the simple interest formula for Victoria's account and the compound interest formula for Corbin's account.

For Victoria's account:

Simple interest = P * r * t

= 2000 * 0.05 * 3

= $300

Balance after 3 years = P + Simple interest

= 2000 + 300

= $2300

For Corbin's account:

Balance after 3 years = \(P * (1 + r)^t\)

= 1800 * (1 + 0.09)³

= $2401.40

Therefore, the statement "Corbin's account will have a higher balance than Victoria's account at the end of 3 years" is true.

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The number will be 6.00

What do you mean by an important number?

An important number is a number that has a specific significance or use in a particular situation. For example, in mathematics, some important numbers include pi, the square root of two, and the golden ratio. In finance, important numbers might include the interest rate on a loan, the exchange rate between two currencies, or the daily closing price of a stock. In politics, important numbers may include the population of a state or country, the percentage of the population that is registered to vote, or the number of seats a particular political party holds in a legislature.

Given that:

6.27 should be reduce to 1 significant figure

So as we can see before 6 we have number 2

According to rule for rounding 6 will remain 6

Hence the number will be 6.00.

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Answer:

letter D.

Step-by-step explanation:

beluga!

tank you sa points

And....?

There's not enough info for me to answer.

The odds against Bucks not winning the race are 2:3, so the probability of Bucks not winning is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

In the given scenario, the odds against the horse Bucks not winning the race are 2:3. To calculate the probability that Bucks not will win the race, we can use the following formula: Probability of an event happening = Number of ways an event can happen / Total number of possible outcomes. In this formula, we can consider the total number of outcomes to be 2 + 3, since these are the only possible outcomes in this situation (either the horse wins or it doesn't). Therefore, the total number of possible outcomes is 5. We can also infer from the given information that the number of ways Bucks not can win is 2. Therefore, the probability of Bucks not winning the race is: Probability of Bucks not winning = Number of ways Bucks not can win / Total number of possible outcomes= 2 / 5= 0.4 or 40%Therefore, the probability that Bucks not will win the race is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

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Answer:

what is the question?

Step-by-step explanation:

i don't see a problem or answer choices

The absolute uncertainty in A is approximately 0.022254. Rounding it to the same number of decimal places as A, we express the absolute uncertainty as 0.05995 ± 0.00008.

To calculate the absolute uncertainty in A, we need to determine the maximum and minimum values that A can take based on the uncertainties in b and c. The absolute uncertainty in A can be found by propagating the uncertainties through the equation.

Given:

b = 95.68 ± 0.05

c = 43.28 ± 0.02

To find the absolute uncertainty in A, we can use the formula for the absolute uncertainty in a function of two variables:

ΔA = |∂A/∂b| * Δb + |∂A/∂c| * Δc

First, let's calculate the partial derivatives of A with respect to b and c:

∂A/∂b = 1/π

∂A/∂c = -1/π

Substituting the given values and uncertainties, we have:

ΔA = |1/π| * Δb + |-1/π| * Δc

= (1/π) * 0.05 + (1/π) * 0.02

= 0.07/π

Since the value of π is a constant, we can approximate it to a certain number of decimal places. Let's assume π is known to 5 decimal places, which is commonly used:

π ≈ 3.14159

Substituting this value into the equation, we get:

ΔA ≈ 0.07/3.14159

≈ 0.022254

Therefore, the absolute uncertainty in A is approximately 0.022254.

To express the result in the proper format, we round the uncertainty to the same number of decimal places as the measured value. In this case, A is approximately 0.05995, so the absolute uncertainty in A can be written as:

ΔA = 0.05995 ± 0.00008

Therefore, the correct answer is option b. 0.05995 ± 0.00008.

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Answer:

a

Step-by-step explanation:

The variable is a

Hope this helps!

Answer:

It allows us to disregard the shape of the population when n is large.

Step-by-step explanation:

When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.

Answer

second one

Step-by-step explanation: