Compare and contrast the Puritan governments of Massachusetts and Connecticut. Evaluate the effectiveness of each form of government, as well as the lasting impact each had on American democracy

You can multiply by opening the bracket and multiplying the second bracketed expression with each term of first bracketed expression.

The middle term in the simplified product is given by:

Option B: -x

We can multiply by opening the bracket and multiplying the second bracketed expression with each term of first bracketed expression.

\(\begin{aligned} (x+3)(x-4) &= x(x-4) + 3(x-4)\\&= x^2 - 4x + 3x - 12\\&= x^2 -x - 12\\\end{aligned}\)

The middle term in the simplified product is \(-x\).

Thus, Option B: -x is correct.

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Answer: 975

Step-by-step explanation: hope this helped!

Answer:

975

Step-by-step explanation:

Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975

Answer:

m=4

x=6

Step-by-step explanation:

1) 4m+12=28

4m=16

m=4

2) 3(x+2)=24

3x+6=24

3x=18

x=6

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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Answer:

i think 6x

Step-by-step explanation:

cz we have a variable

The answer is 6x

an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.

Answer:

Step-by-step explanation:

The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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Answer:

I think it is the third one

Step-by-step explanation:

hope it  helps

Answer:

This would be the commutative property because in either order the sum will always be the same.

You were asking about the property type, right?

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

1.-15

2.-4351/66

3.

Step-by-step explanation:

Advantage: Jaspreet's strategy provides a rapid and comparatively simple technique to compile data on the mode of transportation pupils use to go to school.

In statistics, a sample is a collection of people or pieces of data that are chosen at random from a larger population in order to investigate or draw conclusions about the population. A sample can offer significant information about the population at a fraction of the expense and time of studying the complete population, which is why samples are crucial.

Advantage: Jaspreet's strategy provides a rapid and comparatively simple technique to compile data on the mode of transportation pupils use to go to school. She may gather a representative sample of the student population's transportation preferences and draw some broad conclusions about how most kids arrive at school by interviewing the first 20 pupils.

A disadvantage is that Jaspreet's plan could not accurately reflect the transportation preferences of all students. The first 20 pupils to arrive at school might not be a representative sample of the complete student body.

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Answer:

3.76

Step-by-step explanation:

2.82×12÷9

33.84

3.76

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

Answer:

Divide both sides by V

Step-by-step explanation:

The equation is not well written.

Mariko needs to solve the equation below for D. Here is the equation:

M = DV

For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;

Divide both sides by V

M/V = DV/V

V at the denominator will cancel out the V at the numerator to have:

M/V = D

Rearrange

D = M/V

Therefore, the statement which correctly describes the step he should take is:

Divide both sides by V. Option B is correct.

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20

Answer:

x^2 + 100

x^2 + 10^2

Using the square of 2 sums formula ((x + y)^2 = x^2 + y^2 + 2xy), we can simplify as: x^2 + y^2 = (x + y)^2 - 2xy.

Implement y = 10, then we got:

x^2 + 10^2 = (x + 10)^2 - 20x

The first eight nonzero terms of the solution by substituting the values of the coefficients in the power series expression for y(x) are:

\(a_0 = 0\\a_1 = -a_2/2\\a_2 = -3a_1/2\\a_3 = -(4a_2 + 6a_1)/2\\a_4 = -(5a_3 + 7a_2)/2\\a_5 = -(6a_4 + 8a_3)/2\\a_6 = -(7a_5 + 9a_4)/2\\a_7 = -(8a_6 + 10a_5)/2\\a_8 = -(9a_7 + 11a_6)/2\)

To solve the given differential equation y" + xy' + 2y = 0 using power series method around xo = 0, we assume a power series solution of the form:

y(x) = ∑[n=0 to ∞] \(a_n x^n\)

Now, let's find the first eight nonzero terms of this power series solution.

First, we'll calculate the derivatives of y(x) with respect to x:

y'(x) = ∑[n=0 to ∞] a_n * n * \(x^{(n-1)\)

y''(x) = ∑[n=0 to ∞] a_n * n * (n-1) * \(x^{(n-2)\)

Substituting these expressions into the original differential equation, we have:

∑[n=0 to ∞] \(a_n\) * n * (n-1) * \(x^{(n-2)\) + x * ∑[n=0 to ∞] \(a_n\) * n * \(x^{(n-1)\) + 2 * ∑[n=0 to ∞] \(a_n * x^n\) = 0

Now, we'll rearrange the terms and combine them:

∑[n=2 to ∞]\(a_n\) * n * (n-1) * \(x^{(n-2)\) + ∑[n=1 to ∞] \(a_n\) * n * \(x^n\) + 2 * ∑[n=0 to ∞] \(a_n * x^n\) = 0

Let's break down each summation separately:

For the first summation term, n starts from 2:

∑[n=2 to ∞] \(a_n\) * n * (n-1) * \(x^{(n-2)\) = a_2 * 2 * 1 * \(x^0\) + \(a_3\) * 3 * 2 * x^1 + \(a_4\) * 4 * 3 * \(x^2\) + ...

For the second summation term, n starts from 1:

∑[n=1 to ∞] \(a_n\) * n * \(x^n\) = \(a_1\) * 1 * \(x^1\) + \(a_2\) * 2 * \(x^2\) + \(a_3\) * 3 * \(x^3\) + ...

For the third summation term, n starts from 0:

2 * ∑[n=0 to ∞] \(a_n * x^n\) = 2 * \(a_0 * x^0\) + 2 * \(a_1 * x^1\) + 2 *\(a_2 * x^2\) + ...

Combining these terms, we have:

2\(a_0\) + (2\(a_1 + a_2\))x + (2\(a_2 + 3a_1\))\(x^2\) + \((2a_3 + 4a_2 + 6a_1)x^3\) + ...

Since the equation should hold for all values of x, each coefficient of \(x^n\)should be zero. Therefore, we equate each coefficient to zero and find the recurrence relation for the coefficients:

2\(a_0\) = 0 => \(a_0 = 0\)

\(2a_1 + a_2 = 0\) => \(a_1 = -a_2/2\)

\(2a_2 + 3a_1 = 0\) => \(a_2 = -3a_1/2\)

\(2a_3 + 4a_2 + 6a_1 = 0\)

Using these recurrence relations, we can calculate the first eight nonzero terms of the solution.

Starting from \(a_0 = 0\), we can find the values of \(a_1, a_2\), and so on:

\(a_0 = 0\)

\(a_1 = -a_2/2\)

\(a_2 = -3a_1/2\)

\(a_3 = -(4a_2 + 6a_1)/2\)

\(a_4 = -(5a_3 + 7a_2)/2\)

\(a_5 = -(6a_4 + 8a_3)/2\)

\(a_6 = -(7a_5 + 9a_4)/2\)

\(a_7 = -(8a_6 + 10a_5)/2\)

\(a_8 = -(9a_7 + 11a_6)/2\)

Therefore, these are the first eight nonzero terms of the solution by substituting the values of the coefficients in the power series expression for y(x).

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Measure of the angle CAB is 25°.

To find the measure of angle CAB in triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote angle CAB as x.

Given:

Angle ABC = 42°

Angle BCA = 113°

Using the sum of angles in a triangle, we have the equation:

x + 42° + 113° = 180°

Combining like terms, we have:

x + 155° = 180°

To isolate x, we can subtract 155° from both sides:

x = 180° - 155°

Simplifying:

x = 25°

Therefore, the measure of angle CAB in triangle ABC is 25°.

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The expression that represents how much Jade will pay for a sweater that costs x dollars, not including tax, is 0.765x.

If a sweater normally costs x dollars, a sale reduces the price by 10%. Therefore, the sale price is (1-0.10)x or 0.9x dollars. Then, if Jade has a coupon to save 15%, the price will be further reduced by 15% of 0.9x dollars, which is 0.15(0.9x) or 0.135x dollars.

Therefore, the total price that Jade will pay for the sweater is the sale price minus the discount from the coupon, which is (0.9x - 0.135x) or 0.765x dollars. This can be simplified as 0.765 times the original cost of the sweater, or 76.5% of the original price.

Thus, the expression that represents how much Jade will pay for a sweater that costs x dollars, not including tax, is 0.765x.

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Complete question is:

A sweater normally cost x dollars. A sale reduces the price of the sweater by 10% . Jade also has a coupon to save 15%. Which expression represents how much Jade will pay for a sweater that costs x dollars, not including tax?

Answer:

AcORdinG To MY CaLCulAtIoNS ItS 21

Step-by-step explanation:

Logic :)

hey you doing today bye bye 293

Answer:

-45

Step-by-step explanation:

math

-19 + 16 = -3

-3 + (-42) = -45

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To write a fraction as a decimal, you need to divide the numerator by the denominator.

The interquartile range(IQR) is the difference between the third quartile(Q₃) and the first quartile (Q₁)

That is:

IQR = Q₃ - Q₁

From the information given:

Q₁ = 84

The inequality that can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is 240 + 310 + 320 + x ≥ 4 (280).

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

For the next four weeks, Jaime wants to log at least 280 miles per week on average. Jamie's objective can be graphically expressed by the inequality: T4, or alternatively T 4 if T is the total number of miles he will pedal his bicycle for four weeks (280).

The sum of the distances Jamie has covered and has yet to cover is the total number of miles Jamie will cycle during this time. Hence,  T = 240 + 310 + 320 + x. Replacing this term into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.

Thus, the correct answer is  240 + 310 + 320 + x ≥ 4 (280).

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Answer:

the second steps was wrong.

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

5x-7x=4+6

-2x=10

x=-5

Answer:

the answer for x<5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4<−4x+16

Step 2: Flip the equation.

−4x+16>−4

Step 3: Subtract 16 from both sides.

−4x+16−16>−4−16

−4x>−20

Step 4: Divide both sides by -4.

−4x

−4

>

−20

−4

x<5

For the given output, we will test whether there is any difference in mean return on equity (ROE) for the three types of stocks. We can use the ANOVA table to test this: ANOVA tableSourceDFSSMSFp-valueTreatments23261.61130.8062.9844e-05Error172.152.923 Total20233.76We can see that the p-value for treatments is much less than 0.05, which suggests that there is some evidence of a difference between the mean return on equity for the three types of stocks (utility, retail, and banking stocks).

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