What is the y-intercept of the line that passes through the points (2,-1) and (-3,9)

Answer:

It c

Step-by-step explanation:

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

The answer is 1/22.

Step-by-step explanation:

→ (1/8) ÷ (11/4)

→ (1/8) × (4/11)

→ (1×4)/(8×11)

→ 4/88

→ 1/22 [Simplest form]

Thus, 1/22 is the solution.

Step-by-step explanation:

When you multiply or divide both sides of an inequality by a negative, you swap the inequality. You had less than or equal? Now it'll be greater than or equal.

Answer:

flip the sign

Step-by-step explanation:

You just flip the sign...

for example: \(-x < 2\implies x > -2\)

But why is this happening? So let's just analyze the initial inequality we started with: \(-x < 2\)

As you can see here, the x values are negated, or in other words they become negative. So even though -5 is less than 2, it becomes -(-5) which cancels the negative and it becomes 5, this of course makes the inequality false.

The opposite occurs with positive values, the positive value becomes negative, thus any positive value will satisfy this inequality, since it becomes a negative number.

For example 10 is not less than 2, but the negative sign will make it -10, thus making the inequality true.

Even though negative values will cancel out, there are still some negative values that satisfy this equation. Since -1 becomes 1, it satisfies this equation, but once it becomes less than or equal to -2, it becomes false. This is because it becomes a positive value. Thus the equation really just means x must be greater than -2.

I could've used something more abstract, but I wanted to give a specific example so it might be a bit easier to understand.

While we have arguments supporting the notion that Christians have a duty to make society more just based on their religious teachings and values, there are also counterarguments suggesting that this duty should be seen as a shared responsibility for all individuals.

One argument for Christians having a duty to make society more just is rooted in the teachings and values of Christianity itself. Many Christian beliefs emphasize the importance of justice, fairness, and compassion towards others.

On the other hand, some may argue against the idea that Christians have a specific duty to make society more just. They might contend that Christians like individuals of any other religious or non-religious background have a general ethical responsibility to promote justice and fairness.

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Answer:

Prepare. You dread public speaking because you don't know what to say.

Psych yourself. ...

Know your audience. ...

Be an expert on your topic. ...

Visualize. ...

Conduct an ocular inspection. ...

Read, watch, and listen to good speakers.

Step-by-step explanation:

To scope a speech you need to narrow dow. what you are talking about into the relevant topic. A easy way to effectivly scope your speech is to ask yourself "what information do I want my audience to know at the end of my speech." Once you've answered his for yourself, use it as your focal point for your speech. Keep what you're talking about relevant to the purpose and thesis of your speech. And make sure to use anything superfluous or extraneous because it will broaden your scope and take the speech away from the ultimate goal.

Answer:

\(\sin 21^{\circ}=\frac{x}{22}\)

Step-by-step explanation:

We have the opposite and hypotenuse in relation to the 21° angle. Thus, \(\sin 21^{\circ}=\frac{x}{22}\).

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

We are required to find the value of csc(x) for sin(x) = 2√5/5.

We can begin by using the Pythagorean identity which states that:

sin^{2}x+cos^{2}x = 1

Squaring the given value of sin(x), we get:

(sinx)^2 = (\frac{2√5}{5})^2 = \frac{20}{25} = \frac{4}{5}

Solving for cos(x), we get:

cosx = \pm \sqrt{1 - (sinx)^2}

cosx = \pm \sqrt{1 - \frac{4}{5}} = \pm \frac{\sqrt{5}}{5}

We know that csc(x) is the reciprocal of sin(x), so we have:

cscx = \frac{1}{sinx}

cscx = \frac{1}{\frac{2√5}{5}} = \frac{5}{2√5}

cscx = \frac{\sqrt{5}}{2}

The value of csc(x) for sin(x) = 2√5/5 is csc(x) = sqrt(5)/2.

The other part of the question was to find cosα given that tanα = √2/2 and sinα = - √3/3.

Using the quotient identity, we have:

tan\alpha = \frac{sin\alpha}{cos\alpha}

Substituting the given values and solving for cosα, we get:

cos\alpha = \frac{sin\alpha}{tan\alpha} = \frac{-\sqrt{3}/3}{\sqrt{2}/2} = -\sqrt{\frac{3}{2}}

Therefore, cosα = -sqrt(3/2).

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Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

The L1 norm of vector A is greater than or equal to the L1 norm of vector B.

Basically, if the L2 norm of vector A is greater than the L2 norm of vector B, it is indeed always true that the L1 norm of vector A is greater than or equal to the L1 norm of vector B. The Lp norm is defined as follows:

\(||x||_p = (|x_1|^p + |x_2|^p + ... + |x_n|^p)^(1/p),\)

where x = [x₁, x₂, ..., xₙ] is a vector.

For the L2 norm (p = 2), the formula is:

\(||x||_2 = \sqrt(|x_1|^2 + |x_2|^2 + ... + |x_n|^2).\)

For the L1 norm (p = 1), the formula is:

\(||x||₁ = |x_1| + |x_2| + ... + |x_n|.\)

If ||A||₂ > ||B||₂, it implies that:

\(\sqrt(|A_1|^2 + |A_2|^2 + ... + |A_n|^2) > \sqrt(|B_1|^2 + |B_2|^2 + ... + |B_n|^2).\)

Squaring both sides of the inequality, we get:

\(|A_1|^2 + |A_2|^2 + ... + |A_n|^2 > |B_1|^2 + |B_2|^2 + ... + |B_n|^2.\)

Since the squares of the magnitudes are positive, we can conclude that:

\(|A_1| + |A_2| + ... + |A_n| > |B_1| + |B_2| + ... + |B_n|.\)

Therefore, the L1 norm of vector A is greater than or equal to the L1 norm of vector B.

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Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

\(\sqrt{16}\) = 4

Check work:

\(\sqrt{16}\) = 4

14 x 4 = 56

56 + 15 = 71

The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

When a trapezoid is rotated 180° on the coordinate plane, the angles of the trapezoid remain the same, but their orientation is reversed. The correct answer is A. 20.

When a shape is rotated 180° on the coordinate plane, the angles of the shape remain the same, but their orientation is reversed.

In this case, angle B is 20° in the original trapezoid. After a 180° rotation, angle B' will be the same as angle B, but in the opposite direction. Therefore, angle B' will also be 20°.

Hence, the correct answer is A. 20°.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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Answer:

14 +6√5

Step-by-step explanation:

Step 1 - Expand and remove the exponent:

\((3 + \sqrt{5} )(3 + \sqrt{5} )\)

Step 2 - Simplify:

3 x 3 = 9

3 x √5 = 3√5

√5 x 3 = 3√5

√5 x √5 = 5

9 + 5 + 3√5 + 3√5

= 14 +6√5

Hope this helps!

Answer:

below

Step-by-step explanation:

Part A)

The radius of a circle is half of its diameter.

Therefore, the radius of the circle is:

radius = diameter/2 = 8cm/2 = 4cm

So, the radius of the circle is 4cm.

You can also find radius by just dividing the diameter in half, or by 2.

Part B)

The area of a circle can be found using the formula:

Area = πr^2

where π is the mathematical constant pi (approximated as 3.14), and r is the radius of the circle.

Substituting the values given in the question, we get:

Area = πr^2

= 3.14 × (4cm)^2

= 3.14 × 16cm^2

Therefore, the area of the circle is:Area = 50.24cm^2 (rounded to two decimal places)

So, the area of the circle with a diameter of 8cm is 50.24cm^2.

Applying the scale factor of 1:5, Lisa del Giocondo's face was 1.6 inches long in the sketch.

If the scale factor from the sketch to real life is 1:5, then it means that every inch in the sketch represents 5 inches in real life.

Therefore, to find out how long Lisa del Giocondo's face was in the sketch, we need to multiply the real-life length of her face by the inverse of the scale factor, which is 1/5.

If her face was 8 inches long in real life, then her face in the sketch would be:

8 inches * (1/5) = 1.6 inches

Therefore, based on the scale factor given, Lisa del Giocondo's face was 1.6 inches long in the sketch.

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Answer:

1. 6.96500 kilogramos

2. 3.95 kilogramos

Answer:

(-22, 10)

Step-by-step explanation:

So the midpoint equation is defined as: \(m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\). The order of the pairs don't matter since addition is associative, as long as you put the values where they are supposed to be (x in x spot, and y in the spot)

So, let's say the unknown end point is \((x_2, y_2)\)

We know what the midpoint is so we can solve for these values. Let's start with the x-value

\(-14=\frac{-6+x_2}{2}\)

Multiply both values by 2

\(-28=-6+x_2\)

Now add 6 to both sides

\(-22=x_2\)

Now let's do the same thing with the y-value

\(9=\frac{8+y_2}{2}\)

Multiply both sides by 2

\(18=8+y_2\)

Subtract 8 from both sides

\(10=y_2\)

So the other end point is \((-22, 10)\)

Answer:

610

Step-by-step explanation:

area of triangle is A=0.5*h*b

a=0.5*20*(8+8+15)

a=310

area of square=lh

a=15*20

a=300

300+310=610

formulae

Note : I am little confused with putting time 1.5 yrs so correct me if I am wrong

II is higher. When there is very little scatter around the regression line, it means that the data points are tightly clustered and the relationship between the variables is strong.

In this scenario, the slope estimate, b1, is likely to be more precise and have less uncertainty. The regression line will have a small standard error of estimate, indicating that the predicted values are close to the actual values.

On the other hand, when there is a lot of scatter around the regression line, it means that the data points are more spread out and the relationship between the variables is weaker. In this scenario, the slope estimate, b1, is likely to be less precise and have more uncertainty. The regression line will have a larger standard error of estimate, indicating that the predicted values are further from the actual values.

In summary, the amount of scatter around the regression line affects the precision of the slope estimate. When there is very little scatter, the slope estimate is likely to be more precise and have less uncertainty. Conversely, when there is a lot of scatter, the slope estimate is likely to be less precise and have more uncertainty.

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