Solve system of equations.
y=2 x
y=-x+6

Answer:

57

Step-by-step explanation:

the two supplementary angles are 57, and 123

Answer:

Explanation:

Given the function f(x)

A translation of 2 units up = f(x)+2

Next, a translation of 2 units right = f(x-2)+2

When we reflect the result above in the x-axis, we have:

A rule for g is therefore:

Step-by-step explanation:

For no.4

m= -2/3

x=-60

y=10

now

y=mx+b

or,

10=-2x/3+b

or, 30=-2(-60)+3b

or, 30 = 120+3b

or,

3b = -90

so, b = -30

now

y=mx+b

or, y = -2x/3-30

for no.4 the equation would be

y = -2x/3 - 30

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, \( 1 + 2k - j \) , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: \( 1, 2k, j \).

Answer:

0.33= 33/100

Bail-in and bail-out are terms used in resolving bank failures. Bail-in involves the bank's stakeholders bearing the losses, while bail-out involves external financial support. Pros of bail-in include protecting taxpayers and promoting market discipline, while cons include potential contagion effects, complexity, and investor uncertainty. Bank regulators seek to improve bail-in frameworks to enhance financial stability and protect taxpayers.

Bail-in refers to a process in which a failing bank's creditors and shareholders are required to bear the losses incurred by the bank. In a bail-in, the bank's liabilities are written down or converted into equity, effectively recapitalizing the bank and restoring its solvency. This approach aims to ensure that the costs of the bank's failure are borne by the bank's stakeholders rather than taxpayers or the government.

On the other hand, a bail-out involves providing financial support to a failing bank by external sources, typically the government or a central bank. The bail-out involves injecting funds into the bank to prevent its collapse and maintain its operations. This approach aims to protect depositors and maintain stability in the financial system but can often place a burden on taxpayers.

Now let's discuss the pros and cons of using bail-in to resolve a bank failure.

Pros of using bail-in:

1. Protection of taxpayers: Bail-in reduces the burden on taxpayers by making the bank's stakeholders, such as bondholders and shareholders, responsible for covering the losses. This helps prevent moral hazard and ensures that the costs of the bank's failure are borne by those who have a stake in the bank.

2. Market discipline: Bail-in promotes market discipline by holding creditors and shareholders accountable for their investment decisions. This encourages better risk assessment and monitoring of banks by investors, as they become more cautious about investing in banks with higher risk profiles.

Cons of using bail-in:

1. Potential contagion effects: The implementation of bail-in measures can potentially lead to contagion effects in the financial system. If investors lose confidence in one bank, it may spread to other banks and institutions, causing a broader financial crisis.

2. Lack of clarity and complexity: Determining the appropriate allocation of losses and implementing a bail-in can be complex and challenging. There may be difficulties in accurately valuing assets, determining the order of creditor hierarchy, and navigating the legal and operational complexities involved.

3. Investor uncertainty: The possibility of bail-in may increase uncertainty among investors, leading to higher borrowing costs for banks and reduced market confidence. This can negatively impact the stability of the financial system.

In recent years, bank regulators have been seeking to improve their bail-in frameworks to enhance financial stability and protect taxpayers. They aim to establish clear rules and procedures for implementing bail-ins, ensure sufficient loss-absorbing capacity within banks, and enhance transparency and investor confidence.

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Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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[FALSE] In a hypothesis test, you assume the alternative hypothesis is true.

If the null hypothesis is rejected, then there is what is called an alternative hypothesis.

the alternative hypothesis states that there is an observed effect between the two variables in the experiment.

That is, the alternative hypothesis opposes the contents of the null hypothesis. Where there are differences and the nature of mutual influence between the two variables studied.

If there are deviations or differences between the two variables, then the null hypothesis is rejected while the alternative hypothesis is accepted. Conversely, if the null hypothesis is accepted, then the alternative hypothesis is rejected.

The alternative hypothesis is symbolized by Ha or also H1. Alternative hypotheses can use symbols not equal to (≠), less than (<), and more than (>).

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Answer:

\(x=3c\sqrt{a} -b^2\)

Step-by-step explanation:

\(\sqrt{a} =\dfrac{x+b^2}{3c}\)

Multiply both sides by 3c:

\(\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}\)

\(\implies 3c\sqrt{a} =x+b^2\)

Subtract \(b^2\) from both sides:

\(\implies 3c\sqrt{a} -b^2=x+b^2-b^2\)

\(\implies 3c\sqrt{a}-b^2=x\)

Switch sides:

\(\implies x=3c\sqrt{a} -b^2\)

Answer:

\(\sin L = 0.60\)

\(tan\ N = 1.33\)

\(\cos L = 0.80\)

\(\sin N = 0.80\)

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

\(MN = 6\)

\(LN = 10\)

First, we need to calculate length LM,

Using Pythagoras theorem:

\(LN^2 = MN^2 + LM^2\)

\(10^2 = 6^2 + LM^2\)

\(100 = 36 + LM^2\)

Collect Like Terms

\(LM^2 = 100 - 36\)

\(LM^2 = 64\)

\(LM = 8\)

Solving (a): \(\sin L\)

\(\sin L = \frac{Opposite}{Hypotenuse}\)

\(\sin L = \frac{MN}{LN}\)

Substitute values for MN and LN

\(\sin L = \frac{6}{10}\)

\(\sin L = 0.60\)

Solving (b): \(tan\ N\)

\(tan\ N = \frac{Opposite}{Adjacent}\)

\(tan\ N = \frac{LM}{MN}\)

Substitute values for LM and MN

\(tan\ N = \frac{8}{6}\)

\(tan\ N = 1.33\)

Solving (c): \(\cos L\)

\(\cos L = \frac{Adjacent}{Hypotenuse}\)

\(\cos L = \frac{LM}{LN}\)

Substitute values for LN and LM

\(\cos L = \frac{8}{10}\)

\(\cos L = 0.80\)

Solving (d): \(\sin N\)

\(\sin N = \frac{Opposite}{Hypotenuse}\)

\(\sin N = \frac{LM}{LN}\)

Substitute values for LM and LN

\(\sin N = \frac{8}{10}\)

\(\sin N = 0.80\)

Answer:

2(x-4)  = 3

Step-by-step explanation:

As per the addition formula, the value of the trigonometric function is -0.809.

In statistics, function is defined as a relationship between inputs where each input is related to exactly one output.

Here we have to find the value of the trigonometric function cos(13/15)cos(-/5)-sin(13/15)sin(-/5)  by using the addition and subtraction formula.

Here we have the following trigonometric function:

=> cos(13/15)cos(-/5)-sin(13/15)sin(-/5)

Now, we have to use the trigonometric addition formula,

=> Cos (A+B) = Cos A Cos B - Sin A Sin B

To solve the given function,

Here let us rewrite the given function based on the addition formula, then we get,

=> Cos ( 13π/15 + (-π/5) )

=> Cos( 12π/5)

=> Cos(144°)

=> -0.809

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Answer:

h = 24 cm

Step-by-step explanation:

Given:

C (base) = 60π cm

V (volume) = 21,600π cm^3

Find: h (height) - ?

\(c = 2\pi \times r\)

\(2\pi \times r = 60\pi\)

\(2r = 60\)

\(r = 30\)

We found the length of the radius

v = 1/3 × πr^2 × h

1/3 × π × 900 × h = 21600π

Multiply both sides by 3:

2700π × h = 64800π / : 2700π

h = 24 cm

Answer:   H=-9

Step-by-step explanation:

(2)(h)+(2)(3.5)=−11

=2h+7=−11

=2h+7−7=−11−7

=2h=−18

h=-18/2

h=-9

Answer:

-9 is the answer hope it helps :)

The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

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Answer:

x = 33

y = 38

z =109

Step-by-step explanation:

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

Answer:

The answer is scientific notation

Step-by-step explanation:

The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.

I hope this helps :)

Answer:

A or c hopes this helps!!

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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The equation holds for k, it also holds for k + 1. we have proven that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ.

To prove that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ, we will use mathematical induction.

Base case:

Let's start by verifying the equation for the base case when n = 1:

(1)² = 1³

The base case holds true.

Inductive step:

Next, we assume that the equation holds for some positive integer k, where k ≥ 1. That is, we assume that (1 2 3 ··· k)² = 1 3 2 3 3 3 ··· k³.

Now, we need to show that the equation holds for k + 1, i.e., we need to prove that ((1 2 3 ··· k) (k+1))² = 1 3 2 3 3 3 ··· k³ (k+1)³.

Expanding the left-hand side of the equation:

((1 2 3 ··· k) (k+1))² = (1 2 3 ··· k)² (k+1)²

Using the assumption that (1 2 3 ··· k)² = 1 3 2 3 3 3 ··· k³, we can rewrite the left-hand side as:

(1 3 2 3 3 3 ··· k³) (k+1)²

Now, let's analyze the right-hand side of the equation:

1 3 2 3 3 3 ··· k³ (k+1)³ = 1 3 2 3 3 3 ··· k³ (k³ + 3k² + 3k + 1)

We can see that the right-hand side consists of the terms from 1³ to k³, followed by (k+1)³, which is equivalent to (k³ + 3k² + 3k + 1).

Comparing the expanded left-hand side and the right-hand side, we notice that they are equivalent:

(1 3 2 3 3 3 ··· k³) (k+1)² = 1 3 2 3 3 3 ··· k³ (k³ + 3k² + 3k + 1)

Therefore, we have shown that if the equation holds for k, it also holds for k + 1.

Since the base case holds true and we have shown that if the equation holds for k, it also holds for k + 1, we can conclude that the equation holds for all positive integers n.

Hence, we have proven that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ.

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Answer:

In the formula, the radius is being squared. That means that doubling the radius of the cylinder will quadruple the volume. ... If we put all of that information together (doubling the radius quadruples the volume, while doubling the height doubles the volume), we find that the volume will be 8 times as large

Answer:

B. A student watches approximately 3 minutes less television for every 10 points gained in their math grade.

Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

Answer:

I believe that it is .875 or 7/8 but im not sure

Step-by-step explanation:

Answer:

21.98

Step-by-step explanation:

The cost to fill the 8-meter tank is $5,200.

To find the cost to fill a tank with an 8-meter diameter, we can use the concept of similarity between the two tanks.

The ratio of the volumes of two similar tanks is equal to the cube of the ratio of their corresponding dimensions. In this case, we want to find the cost to fill the larger tank, so we need to calculate the ratio of their diameters:

Ratio of diameters = 8 m / 4 m = 2

Since the ratio of diameters is 2, the ratio of volumes will be 2^3 = 8.

Therefore, the larger tank has 8 times the volume of the smaller tank.

If the cost to fill the 4-meter tank is $650, then the cost to fill the 8-meter tank would be:

Cost to fill 8-meter tank = Cost to fill 4-meter tank * Ratio of volumes
                          = $650 * 8
                          = $5,200

Therefore, the cost to fill the 8-meter tank is $5,200.

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Answer:i think its 115 degres

Step-by-step explanation: