A type of origami paper comes in 15 cm by 15 cm
square sheets. Hilary used two sheets to make the
origami dog. What is the total area of the origami
paper that Hilary used to make the dog?

Answers

Answer 1

Answer:

150 cm squared

Step-by-step explanation:

I guess that's the answer if I'm wrong you can tell me right away so that I can try another method thank you.

A Type Of Origami Paper Comes In 15 Cm By 15 Cmsquare Sheets. Hilary Used Two Sheets To Make Theorigami

Related Questions

help me please ...........with this work
I'm trying my best to figure out how to do this so if someone can help me with the right answer please help me

Rewrite y = x2 + 2x - 1 into vertex form.
y=(x+1)2−2 Use x = - b\2a to find the vertex (h, k).

Substitute a, h, and k into y = a(x - h)2 + k:
2a(x-h)+k 2ax-2ah+k

Answers

Answer:

Vertex form is: y = ( x + 1 )^2 − 2

Step-by-step explanation:

I'm not sure about the substitution part.

y=Ax^2 + Bx + C is the solution of the DEQ: By' = 2x + 7. Determine A,B. Separate variables, & integrate.

Answers

The exact value of A in the general solution is 1 and B is 7

How to determine the value of A and B in the general solution

From the question, we have the following parameters that can be used in our computation:

y = Ax² + Bx + C

The differential equation is given as

y' = 2x + 7

When y = Ax² + Bx + C is differentiated, we have

y' = 2Ax + B

So, we have

2x + 7 = 2Ax + B

By comparing both sides of the equation, we have

2Ax = 2x

B = 7

So, we have

2A = 2

B = 7

Divide both sides of 2A = 2 by 2

A = 1

B = 7

Hence, the value of A in the general solution is 1 and B is 7

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BRAINLIESTTTTT PLZZZZ

Answers

Answer:

Slope is -5/3

Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line

Help yalll please

Find the vale of X

Answers

Answer:

45°

Step-by-step explanation:

x should be the equivalent angle as the 45° given, as this is a perfect circle, so the distance from the center shouldn't affect the angle

hi please help i’ll give brainliest

Answers

Answer:

between Jupiter and mars

Answer:

Choice A

Step-by-step explanation:

The Asteroid Belt in our Solar System is in-between the planets Jupiter and Mars.

The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.

Favorite Songs? I need to update my playlist!

Answers

Step-by-step explanation:

megan thee stallion songs

cardi b's songs

space cadet-gunna

astronaut in the ocean

Flo milli

and my personal favorite

knock knock- sofaygo

Joe plays basketball for the Wildcats and missed some of the season due to an injury. He did soune calculations that showed the mean number of points scored by his team was greater when he played than when he did not play. Here we test whether or not the mean was significantly greater The table summarizes this data where the i's are actually population means but we treat them like sample means. The degrees of freedom (d.f.) is given to save calculation time if you are not using software The Test: Test the claim that the mean points scored by the team was significantly greater when Joe played. Use a 0.05 significance level With Joe () 12 74.1 12.5 6.52 Without Joe (865.7 38.2 6.18 d.. 16 1 • Example 1: Using the given data, test the claim that the mean cholesterol level for all men who is the drug is less than the mean for those who do not use the drug. Assume both populations are normally distributed and use a 0.05 significance level. men Cholesterol Levels in mg/dL. No Drug (13) 237 289 257 228 303 275 262 304 214 233 263.2 811.1 28.6 Drug (12) 194 210 230 186 266 222 242 281 240 212 231.2 864.0 29.4 1. Here we are claiming that which means > Or-2 > 0.

Answers

The t-test allows us to evaluate whether the mean points scored by the team were significantly different between the scenarios with and without Joe.

To test the claim that the mean points scored by the team were significantly greater when Joe played, we can perform a t-test for independent samples.

Let's denote the mean number of points scored by the team when Joe played as mu1 and the mean number of points scored when Joe did not play as  mu2. The null hypothesis (H0) is that μ1 is not significantly greater than mu2, and the alternative hypothesis (H1) is that μ1 is significantly greater than mu2.

To perform the t-test, we need the sample means, standard deviations, and sample sizes for both scenarios (with Joe and without Joe). From the given data, we have the following:

With Joe:

Sample mean (x1) = 74.1

Sample standard deviation (s1) = 12.5

Sample size (n1) = 12

Without Joe:

Sample mean (x2) = 65.7

Sample standard deviation (s2) = 38.2

Sample size (n2) = 16

Now we can calculate the test statistic using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Plugging in the values, we get:

t = (74.1 - 65.7) / sqrt((12.5^2 / 12) + (38.2^2 / 16))

Next, we determine the degrees of freedom (df) for the t-distribution. Since the sample sizes are different for the two scenarios, we use the approximate formula:

df = ((s1^2 / n1 + s2^2 / n2)^2) / ((s1^2 / n1)^2 / (n1 - 1) + (s2^2 / n2)^2 / (n2 - 1))

Plugging in the values, we get:

df = ((12.5^2 / 12 + 38.22 / 16)^2) / ((12.5^2 / 12)^2 / (12 - 1) + (38.2^2 / 16)^2 / (16 - 1))

After calculating the t-value and degrees of freedom, we can compare the t-value to the critical value from the t-distribution at the desired significance level (0.05). If the t-value is greater than the critical value,  and reject the null hypothesis and conclude that the mean points scored by the team were significantly greater when Joe played.

The specific calculations will depend on the actual data provided, but this explanation provides a general framework for performing the test.

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b) Consider the following metric: ds2 = €2A(r) dt? – e2B(r) dr2 – 22 (d02 + sin? 0d62), = with A(r) and B(r) two functions to be determined that depend only on r. Calculate the 20 independent components of the Riemann tensor.

Answers

The given metric is as follows: $$ ds^2 = e^{2A(r)} dt^2 - e^{2B(r)} dr^2 - 2(r^2 +\sin^2\theta) (d\phi^2 + \sin^2\theta d\phi^2) $$

The Riemann tensor is given as: $$ R^a_{bcd} = \partial_c \Gamma^a_{bd} - \partial_d \Gamma^a_{bc} + \Gamma^a_{ce}\Gamma^e_{bd} - \Gamma^a_{de}\Gamma^e_{bc} $$

Here, $\Gamma^a_{bc}$ is the Christoffel symbol of the second kind defined as:

$$ \Gamma^a_{bc} = \frac{1}{2} g^{ad}(\partial_b g_{cd} + \partial_c g_{bd} - \partial_d g_{bc}) $$

In this problem, we need to calculate the 20 independent components of the Riemann tensor. First, let's calculate the Christoffel symbols of the second kind.

Here, $g_ {00} = e^{2A(r)}$, $g_ {11} = -e^{2B(r)} $, $g_ {22} = -(r^2 + \sin^2\theta) $, and $g_{33} = -(r^2 + \sin^2\theta) \sin^2\theta$.

Using these, we get:$$ \Gamma^0_{00} = A'(r)e^{2A(r)}$$$$ \Gamma^0_{11} = B'(r)e^{2B(r)}$$$$ \Gamma^1_{01} = A'(r)e^{2A(r)}$$$$ \Gamma^1_{11} = -B'(r)e^{2B(r)}$$$$ \Gamma^2_{22} = -r(r^2 + \sin^2\theta)^{-1}$$$$ \Gamma^3_{33} = -\sin^2\theta(r^2 + \sin^2\theta)^{-1}$$$$ \Gamma^2_{33} = \cos\theta\sin\theta(r^2 + \sin^2\theta)^{-1}$$$$ \Gamma^3_{32} = \Gamma^3_{23} = \cot\theta $$

Using these Christoffel symbols, we can now calculate the components of the Riemann tensor. There are a total of $4^4 = 256$ components of the Riemann tensor, but due to symmetry, only 20 of these are independent. Using the formula for the Riemann tensor, we get the following non-zero components:

$$ R^0_{101} = -A''(r)e^{2A(r)}$$$$ R^0_{202} = R^0_{303} = (r^2 + \sin^2\theta)(\sin^2\theta A'(r) + rA'(r))e^{2(A-B)}$$$$ R^1_{010} = -A''(r)e^{2A(r)}$$$$ R^1_{121} = -B''(r)e^{2B(r)}$$$$ R^2_{232} = r(r^2 + \sin^2\theta)^{-1}$$$$ R^3_{323} = \sin^2\theta(r^2 + \sin^2\theta)^{-1}$$$$ R^2_{323} = -\cos\theta\sin\theta(r^2 + \sin^2\theta)^{-1}$$$$ R^3_{322} = -\cos\theta\sin\theta(r^2 + \sin^2\theta)^{-1}$$$$ R^0_{121} = A'(r)B'(r)e^{2(A-B)}$$$$ R^1_{020} = A'(r)B'(r)e^{2(A-B)}$$$$ R^2_{303} = -\sin^2\theta A'(r)e^{2(A-B)}$$$$ R^3_{202} = -rA'(r)e^{2(A-B)}$$$$ R^0_{202} = (r^2 + \sin^2\theta)\sin^2\theta A'(r)e^{2(A-B)}$$$$ R^0_{303} = (r^2 + \sin^2\theta)A'(r)e^{2(A-B)}$$$$ R^1_{010} = A''(r)e^{2(A-B)}$$$$ R^1_{121} = B''(r)e^{2(A-B)}$$$$ R^2_{232} = r(r^2 + \sin^2\theta)^{-1}$$$$ R^3_{323} = \sin^2\theta(r^2 + \sin^2\theta)^{-1}$$

Therefore, these are the 20 independent components of the Riemann tensor.

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If a graphed line passes through ordered pair
points (-6, 2) and (5, 4), what is the slope of
the line?

Answers

Answer:

I think it would be 2/11 . hope it helps u ^.^

a company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random. Find the probability that the staff is an accountant. With solution.​

Answers

Answer:

5/9

Step-by-step explanation:

Number of accountants = 20

Number of economists = 12

Number of secretaries = 4

Total number of Staffs = 20 + 12 + 4 = 36 staffs

Probability = required outcome / Total possible outcomes

Required outcome = number of accountants

Total possible outcomes = total number of staffs

P(selecting an economist) = 20 / 36 = 5 / 9

The probability that the staff is an accountant is 5/9.

Given

A company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random.

Probability;

Probability is defined as the number of observations and total number of observation.

Total number of Staffs = 20 + 12 + 4 = 36 staffs.

The following formula is used to determine the probability;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}[/tex]

Substitute all the values in the formula;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}\\\\\rm Probability=\dfrac{20}{36}\\\\\rm Probability=\dfrac{5}{9}[/tex]

Hence, the probability that the staff is an accountant is 5/9.

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The population P (in thousands) of Austin, Texas, during a recent decade can be approximated by

y=494.29(1.03)t,
y=494.29(1.03)t,

where t is the number of years since the beginning of the decade. a. Tell whether the model represents exponential growth or exponential decay. Identify the annual percent increase or decrease in population. c. Estimate when the population was about 590,000.

Answers

The given model represents exponential growth as the base is greater than 1. Hence, the population will increase every year.

When a quantity grows or increases at a constant rate per unit of time, it is called exponential growth.Exponential decay: When a quantity decreases at a constant rate per unit of time, it is called exponential decay.The given model for population growth isy = 494.29(1.03)t, where t is the number of years since the beginning of the decade. Here, the base of the exponential is 1.03, which is greater than 1. So, the given model represents exponential growth.The annual percent increase in population is 3% (as 1.03 is a 3% increase in each year).c. We need to estimate when the population was about 590,000. To do this, we need to substitute y = 590 in the given equation and solve for t.494.29(1.03)t = 5904.31t = log(590/494.29) / log(1.03) = 12.91 years approximatelyTherefore, the population was about 590,000 in the 13th year, i.e., after 12 years (as it is given that t is the number of years since the beginning of the decade).

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Please help me!! No files allowed. I need the answer and an explanation!

Answers

Answer:

27/86

Step-by-step explanation:

the difference is multiplying by 3. next number is

27/86

Consider the following quadratic models: (1) y = 1 – 2x + x2 (2) y = 1 + 2x + x2 (3) y = 1 + x2 (4) y = 1 - 42 (5) y = 1 + 372 y a. Graph each of the quadratic models, side by side, on the same sheet of graph paper

Answers

All the graph of equations are shown in figure.

We have to given that,

All the quadratic equations are,

1) y = 1 - 2x + x²

2) y = 1 + 2x + x²

3) y = 1 + x²

4) y = 1 - x²

5) y = 1 + 3x²

We can see that,

All the equation form a quadratic equation.

Hence, Each graph shows a parabola.

Therefore, All the graph of equations,

1) y = 1 - 2x + x²

2) y = 1 + 2x + x²

3) y = 1 + x²

4) y = 1 - x²

5) y = 1 + 3x²

are shown in figure.

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Draw the graph of y = log, (z) - 4

Answers

The graph of y = log(z) - 4 is a downward shifted logarithmic function with a vertical asymptote at z = 0.

The equation y = log(z) - 4 represents a logarithmic function. The graph of a logarithmic function typically consists of a vertical asymptote, which is a vertical line that the graph approaches but never crosses. In this case, the vertical asymptote occurs at z = 0, as the logarithm of a negative number is undefined.

The graph is vertically shifted downward by 4 units, which means that the entire graph is shifted downward by 4 units compared to the standard logarithmic function. This shift moves the graph downward parallel to the y-axis.

The domain of the function is the set of positive real numbers (z > 0), as the logarithm is defined only for positive values. The range of the function is all real numbers, as the graph extends infinitely in both the positive and negative y-directions.

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i need an answer ASAP with an explanation please!
find the y-intercept of the function f(x)= (x+2) (x-1) (x-2)

Answers

Answer:

y intercept (0;4)

Step-by-step explanation:

let x = 0 because the graph will intersect the y-axis at the value of 0 for the x-axis

A rooted tree where every other vertex is connected to the root by an edge is called a bonsai tree. (This includes the case where the tree is a seed, with no other vertices besides the root.) A collection of bonsai trees is called a bonsai forest. If n and k are positive integers, explain why the number of labeled bonsai forests with n vertices and k trees is (3) kn-k.

Answers

The number of labeled bonsai forests with n vertices and k trees is given by (3)^(kn-k).

The number of labeled bonsai forests with n vertices and k trees is (3)^(kn-k).

To understand why this is the case, let's break it down step by step.

First, let's consider a single bonsai tree with a root and n-1 other vertices connected to the root.

Each of these n-1 vertices can have one of three choices: either it is connected to the root, it is not connected to the root, or it is the root itself. Therefore, for a single bonsai tree, we have 3^(n-1) possibilities.

Now, if we have k bonsai trees, we can treat each tree as an independent entity. Therefore, the total number of labeled bonsai forests with k trees would be the product of the number of possibilities for each individual tree.

Hence, the total number of labeled bonsai forests with n vertices and k trees is (3)^(n-1) * (3)^(n-1) * ... * (3)^(n-1) (k times), which can be written as (3)^(kn-k).

In simpler terms, for each vertex in the bonsai forest, there are three possible choices: being connected to the root, not connected to the root, or being the root itself. As each vertex is independent and has the same three choices, the total number of possibilities for the entire forest is calculated by multiplying the number of possibilities for each vertex (3) by itself (n-1) times, for a total of kn-k times.

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9)
Consider
-196/14
Which THREE statements are correct?
A)
The quotient is 14.
B)
The quotient is -14.
The quotient is -
D)
- 196
is equivalent to the expression.
14
E)
196
-14
is equivalent to the expression.

Answers

Maybe B (not sure).................

Find the area of each trapezoid. Write your answer as an integer or a simplified radical

Answers

Answer: there is no picture

If you calculate an F statistic and find that it is negative, then you know that the difference among the group means is less than what would have occurred by chance the within groups variance exceeds the between groups variance O you have made a calculation error the difference among the group means is greater than what would have occurred by chance

Answers

It is important to carefully review the calculations and ensure the data has been entered correctly. Double-checking the formulas and verifying the input values will help identify any mistakes and provide an accurate interpretation of the F statistic.

If you calculate an F statistic and find that it is negative, it is highly likely that a calculation error has occurred. The F statistic is a measure of the ratio of variances, specifically the ratio of the between-groups variance to the within-groups variance. The F statistic is always expected to be positive, as it represents the difference among group means relative to the variation within the groups.

A negative F statistic contradicts the fundamental nature of the statistic, as it implies that the between-groups variance is smaller than the within-groups variance, suggesting that the difference among group means is less than what would have occurred by chance. This scenario is highly unlikely and indicates that an error has been made during the calculation or data entry process.

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What is the median amount of water (in ounces) that Mindy drank per day

Answers

Answer:

i need the rest of the problem to figure it out sorry

Step-by-step explanation:

Answer:

60 ounces

Step-by-step explanation:

got i t on edmentum

What is the five- number summary of the following data set

52,53,55,59,60,64

Answers

The answer would be A. What we notice is the first, third, fourth, and fifth numbers are all the same in each set. But since the middle of 53 and 55 is 54; answer choice A would be correct.

1. For all named stors that have made landfall in the United States since 2000, of interest is to determine the mean sustained wind speed of the storms at the time they made landfall in this scenario, what is the population of interest?

5. Consider the information presented in question 1. Suppose it is known that among all named storms that have made landfall in the United States since 2000, 31% of them stay over land for 3 or more days once they make landfall. In this scenario, is 31% an example of a parameter or a statistic?
A. Constant
B. Parameter
C. Variable
D. Statistic

Answers

The distinction between parameters and statistics is crucial for inferential statistics, the correct is option D.

The population of interest in the scenario,

1."For all named storms that have made landfall in the United States since 2000, of interest is to determine the mean sustained wind speed of the storms at the time they made landfall," is:

all named storms that have made landfall in the United States since 2000.

5.The correct answer is D. Statistic.

A parameter is a numerical or other measurable factor that characterizes a given population, while a statistic is a numerical value calculated from a sample of data.

Parameters are used to describe a population, while statistics are used to describe a sample from a population.

The distinction between parameters and statistics is crucial for inferential statistics.

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​Bob wants to build a playground in his backyard. The length and width of the playground can be represented by the equation f(x)=(x+5)(3x+6) feet. What is the area of Bob's playground? You must show your work, and include your units of measurement. ​

Answers

Step-by-step explanation:

This is an odd question  (do we have all of the info??)....I had to make an assumption...

Well..... you will not get a numerical answer...it is a quadratic equation

area = (x+5) ft  (3x+6) ft         (I assumed one was length and one was width)

area =   (3x^2 +21x + 30)     ft^2

consider a population proportion p = 0.68. a-1. calculate the expected value and the standard error of p− with n = 30

Answers

If a population proportion p = 0.68, the expected value and the standard error of p' with n = 30 is 0.68 and 0.090 respectively.

To calculate the expected value and standard error of the sample proportion p' with a known population proportion p = 0.68 and a sample size n = 30, we use the formulas:

Expected value of p' (E[p']) = p

Standard error of p' (SE[p']) = √((p * (1 - p)) / n)

Given that the population proportion p = 0.68 and the sample size n = 30, we can substitute these values into the formulas:

E[p'] = p = 0.68

SE[p'] = √((p * (1 - p)) / n) = √((0.68 * (1 - 0.68)) / 30) = √(0.2176 / 30) ≈ 0.090

Therefore, the expected value of the sample proportion p' is 0.68, indicating that, on average, we expect the sample proportion to be equal to the population proportion.

The standard error of the sample proportion is approximately 0.090, representing the estimated standard deviation of the sampling distribution of p' and indicating the variability in the estimates of p'.

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What is the midpoint of line segment QU given Q(6, 3) and P(-6, -1).

Answers

Answer: Use cylindrical coordinates. Evaluate z dv, where E is enclosed by ... A: Solution:Given∫c3y sinx dx+5xdyFormula:∫cPdx+Qdy=∬ ∂Q∂x-∂P∂y dA ... z) if the midpoint of the line segment joining the two points (x, y, z) and (-6, -5, -4). ... A: A cone is a 3-D shape with a circular base and tapers smoothly over to an

Step-by-step explanation:

Martin is considering the expression 1/2(7x+48)and -(1/2x-3)+4(x+5)​

Answers

Step-by-step explanation:

1/2(7x+48) = 7x ÷2 +48÷2 = 7x÷2 + 24

and

-(1/2x-3)+4(x+5) = 7x ÷2 + 46÷2 = 7x÷2 +23


pleaae help explain and write clearly thank you
you need to write a post describing either the column space or the null space of a matrix.

Answers

The null space of a matrix is the set of all vectors that satisfy the equation Ax = 0.

The null space of a matrix is the set of all vectors that satisfy the equation Ax = 0. In other words, the null space of a matrix A is the set of all solutions x to the equation Ax = 0. The null space of a matrix is also known as the kernel of a matrix. It is a subspace of the vector space R^n. The null space of a matrix can be used to determine if a system of linear equations has a unique solution, no solution, or infinitely many solutions. If the null space of a matrix is the zero vector, then the system has a unique solution. If the null space of a matrix is non-empty, then the system has infinitely many solutions. A matrix is an array of numbers that has been set up in rows and columns to make a rectangular shape. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

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Adjust the equation so the line passes through the points.

Answers

Put a negative sign in front of the 3/2

Fill in the blanks:- If y = 2 - x + x2 + 8ex is a solution of a homogeneous fourth-order linear differential equation with constant coefficients, then the roots of the auxiliary equation are_________ .

Answers

The roots of the auxiliary equation for a homogeneous fourth-order linear differential equation with constant coefficients, given that the solution is y = 2 - x + x^2 + 8e^x, are -1, -1, -2, and -2.

For a homogeneous linear differential equation with constant coefficients, the auxiliary equation is obtained by replacing the derivatives of y with powers of the variable. In this case, since the given solution is y = 2 - x + x^2 + 8e^x, we differentiate y with respect to x to obtain the derivatives.

The fourth-order linear differential equation corresponds to the fourth power of the variable, which is x. Therefore, the auxiliary equation is a polynomial equation of degree four. To find the roots of the auxiliary equation, we set the polynomial equal to zero and solve for x.

The roots of the auxiliary equation for this particular solution, after solving the polynomial equation, are -1, -1, -2, and -2. These values represent the roots of the characteristic equation and are crucial in determining the form of the general solution of the differential equation.

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Express The Following As A Percent. 10/3

Answers

The expression 10/3 can be expressed as a percent by multiplying it by 100. The result is approximately 333.33%.

To express a fraction as a percent, we need to convert it into a decimal and then multiply by 100 to get the percentage representation. In this case, we have 10/3 as the fraction.

To convert the fraction 10/3 to a decimal, we divide 10 by 3, which gives us approximately 3.3333. To express this decimal as a percentage, we multiply it by 100. Thus, 3.3333 * 100 = 333.33%.

Therefore, the expression 10/3 can be expressed as approximately 333.33% when converted to a percentage.

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What is your impression of Puritan Literature?Response to the works about Puritan Women. After reading the two-sample works by two Puritan writers, each student will respond to the works and comment on their possible impact on American culture. Each student should include the elements of Puritan Literature in the analysis. What are the two major ways that the Puritan literature has made a lasting impact on American culture? M MSkills Problem Example and Solution: You have beenasked to make 500 mL of 50% dexamethasonesolution from a 90% dexamethasone stock solution.What volume of the stock lidocaine and what volumeof water do you need?M find the remainder when f(x) = 2x3 12x2 11x 2 is divided by x 5. (2 points) 7 3 3 7 Can you please help me Find the area of the shaded region. write the number thirty three in figures what is the answer to -6x+4(-2+8y)- 2y+ 4 You are paying a series of five constant-dollar (or real-dollar) uniform payments of $1,906.76 beginning at the end of first year. Assume that the general inflation rate is 24.01% and the market interest rate is 24.01% during this inflationary period. The equivalent present worth of the project is: Enter your answer as follow: 1234.56 A gas sample at 40 C occupies a volume of 3.22 L. If the temperature is raised to 55C, what will the volume be, assuming the pressure remains constant? 3 feet5 feet4 feet What is the midpoint of DC with endpoints C (6,1) and D (7,8)? Energy pyramid worksheetPls help Suppose that A and B are mutually exclusive events Select the correct answer below, O A. Since A and B are mutually exclusive events, then the probability that A or Boccur is 1. That is, P(A)*P(B)-1 OB. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, PA}{B} = 0, OC. Since A and B are mutually exclusive events, then the probability that A or B occur is 1. That is, PIA & B)=1, OD. Since A and B are mutually exclusive events, then the probability that both A and B occur is O. That is, P(A&B)=0 the style of grandparenting most common in developed nations, including the united states, is the _____ style. What does a population pyramid represents?A a populations trophic levelsB a populations age-sex structureC a populations growth rateD a populations dispersal pattern Using Microsoft Excel, create an investment cash-flow diagram that will have a present worth of zero using MARR = 11%. The study period needs to be exactly 5 years and each year should have at least one unique cash flow that is different from the cash flows over the other years. Your answer should contain a table showing the cash flows for each year and a graphical representation of the cash flows (cash-flow diagram). what position does the british monarch play in canada's government? Which expression is equivalent to the expression shown below? --8x 2(5 + 4x) 1.) Suppose it always takes Florida 10 labor hours to make each car and 1 labor hour to make each crate of oranges, while it always requires Michigan 2 labor hours to make each car and 8 labor hours to make each crate of oranges. Further suppose each nation has 80 labor hours available. Draw the production possibilities frontier for each state.2.) What is the opportunity cost of one car for Florida and for Michigan? What about for one crate of oranges?3.) Suppose each nation specializes according to comparative advantage and then trades with the other nation. On your graphs, label the bundle each nation produces when specializing as well as one possible previously infeasible bundle each is able to consume assuming the two nations trade with each other.4.) Write a paragraph or two in order to summarize your results. Write a speech on the topic of an unjust situation you are passionate about. This may be an issue on the community level, or a current national issue.Remember to use the following elements:a claimsupporting facts, statistics, and reasonspossible objections to your claim (counterclaims)a summary and call to actionthree transitional words or phrases and one instance of effective keyword repetitionproper documentation of sources using MLA citation styleYour speech should be a minimum of 200 words. 80 points