C. What part of the federal reserve’s congressional mandate does this scenario trigger (price stability and maximum sustainable employment

Answer:

coordinate plane

Step-by-step explanation:

1.true or false :The vertical axis is called the y-axis-

Answer:

2.9 per second

Step-by-step explanation:

Answer:

Here is your answer.

Hope you will enjoy

The nominal rate of interest compounded annually that is equivalent to 4.3% compounded quarterly is approximately 4.3100%.

To find the nominal rate of interest compounded annually that is equivalent to 4.3% compounded quarterly, we can use the concept of equivalent interest rates.

Let's denote:

- r_annual: The nominal annual interest rate we want to find.

- r_quarterly: The given nominal interest rate compounded quarterly (4.3% or 0.043).

The formula to find the equivalent nominal rate compounded annually is:

r_annual = (1 + r_quarterly/n)^n - 1

where 'n' is the number of times interest is compounded per year.

Since the given rate is compounded quarterly (4 times a year), n = 4.

Now, let's substitute the values:

r_annual = (1 + 0.043/4)^4 - 1

Calculate the intermediate value inside the parentheses equation:

1 + 0.043/4 = 1 + 0.01075 = 1.01075 (rounded to six decimal places)

Now raise it to the power of 4:

(1.01075)^4 ≈ 1.043119 (rounded to six decimal places)

Finally, subtract 1 and round to four decimal places:

r_annual ≈ 0.0431

Therefore, the nominal rate of interest compounded annually that is equivalent to 4.3% compounded quarterly is approximately 4.3100%.

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Answer:

x=4

where y =3x

8x-3x=20

5x=20

5x/5=20/5

x=4

Answer:

32-12=20 or x=4

Step-by-step explanation:

This is basically saying 8x-3x=20

so first you want to do 8x-3x to end up with 5x

then from there you have the equation..

5x=20

in order to figure out what x is you need to divide 20 by five so you just have the x and get rid of the 5

so 20 divided by 5 = 4

this means x=4 but you need to plug it into the equation

8x= 8 times 4 = 32   and   3x= 3 times 4 = 12

so 32-12=20

A player's first turn's potential inputs and outputs are all shown graphically in the mapping diagram for S(n). This graphic can be used to calculate the probabilities of all conceivable outcomes for a player's first turn on the board.

An idea, method, or concept is represented graphically in a diagram. It is employed to depict the interactions between system components or the processes in a process. Diagrams are frequently used to simplify difficult ideas or processes in technical documentation, commercial presentations, and educational contexts.

The mapping diagram for S(n) shown below shows every potential input and output for a player's first turn. The diagram shows that the player begins on square 1, and arrows highlight the potential outcomes from each square. Depending on the outcome of the dice, the player may roll onto square 1 or move to square 5 or square 9.

The player can either land on square 10 from square 5 or move to square 7 from square 5. The player can either land on square 12 from square 10 or move to square 8 from square 10. The player can travel to square 11 from square 7, or they can land on square 12. Finally, the player has a choice to either move to square 13 or remain on square 8.

In conclusion, the mapping diagram for S(n) shows that a player's initial turn may land on one of the following squares: 5, 7, 8, 10, 11, 12, or 13.

Mapping Diagram for S(n)

Square 1 →

Square 5 or 9

Square 5 → Square 10 or 7

Square 10 → Square 12 or 8

Square 7 → Square 12 or 11

Square 8 → Square 13 or 8

The mapping graphic makes it apparent that a player's initial turn on the board will almost certainly result in a roll of the dice. Depending on the outcome of the dice roll, the player may land on any of the squares 5, 7, 8, 10, 11, 12, or 13.

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The complete question attached below,

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

\(P(pink) = P(pink |\ female) = 0.6\)

Step-by-step explanation:

Given

\(\begin{array}{ccc}{} & {Male} & {Female} & {Pink} & {156} & {72} \ \\ {Yellow} & {104} & {48} \ \end{array}\)

Required

Why \(prefers\ pink\ lemonade\) and \(female\) are independent

First, calculate \(P(pink |\ female)\)

This is calculated as:

\(P(pink |\ female) = \frac{n(pink\ \&\ female)}{n(female)}\)

\(P(pink |\ female) = \frac{72}{48+72}\)

\(P(pink |\ female) = \frac{72}{120}\)

\(P(pink |\ female) = 0.6\)

Next, calculate \(P(pink)\)

\(P(pink) = \frac{n(pink)}{n(Total)}\)

\(P(pink) = \frac{156 + 72}{156 + 72 + 104 + 48}\)

\(P(pink) = \frac{228}{380}\)

\(P(pink) = 0.6\)

So, we have:

\(P(pink) = P(pink |\ female) = 0.6\)

Hence, they are independent

Answer:

P(pink lemonade | female) = P(pink lemonade) = 0.6.

Step-by-step explanation:

A

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

2a)  The odds that the coin will land on heads the first time you flip it is; 50%

2b)  The odds that the coin will land on tails on the next flip is; 0.38

2a) We are told that the coin has a head side and a tail side.

Now, with the nature of the coin, the probability of getting a head is usually equal to the probability of getting a tail and as there are only two possible outcomes which is head or tail, then;

Odds of getting a head = 1/2 = 0.5 = 50%

2b) Number of times which coin is flipped = 50 times

Number of heads gotten = 31

Number of tails gotten = 19

Thus;

Probability or odds of a tail = 19/50 = 0.38

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The value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

The ratio of the neighboring side's length to the longest side, or hypotenuse, in a right triangle is known as the cosine. Let's say that the hypotenuse of a triangle ABC is written as AB, and the angle between the hypotenuse and base is written as.

It's interesting to see that cos's value varies depending on the quadrant. As observed in the above table, cos 0°, 30°, etc. have positive values while cos 120°, 150°, and 180° have negative values. Cos will have a good value in the first and fourth quadrants.

Given that, sin x equals negative 15 over 17.

Using the Pythagoras theorem we have:

(17)² = (- 15)² + y²

y = 8

The value of cos x = 8/17

Then the value of cos2(x) is calculated using the formula:

cos2x = cos²x - sin²x

cos2x = (8/17)² - (15/17)²

cos2x = -161/289

Hence, the value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

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The mean number of hours studied in one month is 115.50.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number. Mean is a measure of central tendency. Measures of central tendency attempts to describe a data set by determining its central value. Other measures of central tendency are mode and median.

Mean = sum of the numbers / total number

(46 + 88 + 52 + 85 + 97 + 94) / 6

462 / 4 = 115.50

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Answer:

Imani's rent had a higher percent increase

Step-by-step explanation:

A change from 560 to 600 represents a positive change (increase) of 7.1428571429%

A change from 825 to 875 represents a positive change (increase) of 6.0606060606%

Percent change = New - Old /825 × 100

Answer:

10 + 3 = 13

Step-by-step explanation:

I hope it's ryt

Answer:

-99.12525

Step-by-step explanation:

Answer:−  99.12525

Step-by-step explanation:

I multiplied it

To find the area of the symmetrical fiddle face, the craftsman can follow these steps using the measurements provided:

1. Divide the fiddle face into two symmetrical halves - left and right.
2. Consider each half as a combination of a rectangle and a semi-circle.
3. Calculate the area of the rectangle using the formula: Area = length × width.
4. Calculate the area of the semi-circle using the formula: Area = (1/2) × π × radius².
5. Add the areas of the rectangle and the semi-circle to find the area of one half of the fiddle face.
6. Multiply the area of one half by 2 to find the total area of the fiddle face.

Without the specific measurements, I cannot provide an exact numerical answer. However, the craftsman can use this strategy to find the area of the face of the fiddle.

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Given the Logarithmic Expression:

You need to remember that, by definition, a Logarithmic Expression that has this form:

can be rewritten in this Exponential Form:

In this case, you can identify that the logarithm has base 10.

Then, you know that:

Therefore, you can rewrite the expression in this form:

Hence, the answer is: Option A.

Answer:

C. 6 + 8 would be equivalent to 6-(-8)

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

The values of x that would result in the given expression being equal to 0 is -2, 6

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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Answer:

£36.

Step-by-step explanation:

Because the game was reduced by 1/4

This means that:

£27 = 3/4.

To find 1/3, divide 27 by 3. this gives us 9. Now we know that the game was reduced by £9. To find the original price, instead of taking £9 away, we do the inverse and add the £9. This gives us £36.

You can even check your answer also, as 9 is 1/4 of 36, this proving that the price before the reductio was £36.

To determine the values of k for which the vectors u = (1, 1, 1), v = (4, 3, 6), and w = (-2, -7, x) are linearly independent, we can examine the determinant of the matrix formed by these vectors.

The vectors are linearly independent if and only if the determinant of the matrix formed by them is non-zero.Constructing the matrix, we have:

| 1 4 -2 |

| 1 3 -7 |

| 1 6 x |

To find the determinant, we can perform row operations to simplify the matrix. Subtracting the first row from the second row, we get:

| 1 4 -2 |

| 0 -1 5 |

| 1 6 x |

Now subtracting the first row from the third row, we have:

| 1 4 -2 |

| 0 -1 5 |

| 0 2 x+2 |

The determinant of the matrix is given by the product of the diagonal elements, so:

det = 1(-1)(x + 2) = -x - 2

For the vectors to be linearly independent, the determinant must be non-zero. Therefore, the values of k for which the vectors u, v, and w are linearly independent are all values except k = -2.

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You took out approximately 3.63 ounces of peanut butter from the container.

To calculate the amount of peanut butter taken out of the container, we need to determine the weight of the pear butter used for the sandwich.

Given that the jar contains 1.31 kg of peanut butter and you used 7.85% of the peanut butter for the sandwich, we can calculate the weight of the peanut butter used as follows:

Weight of peanut butter used = 1.31 kg × 7.85% = 0.103 kg

To convert the weight from kilograms to ounces, we can use the conversion factor: 1 kg = 35.27396 ounces.

Weight of peanut butter used = 0.103 kg × 35.27396 ounces/kg ≈ 3.638 ounces

Therefore, you took out approximately 3.638 ounces of peanut butter from the container. Rounded to two significant figures, the amount is approximately 3.63 ounces.

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Answer:

5,154

Step-by-step explanation:

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

\(2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}\)

A line placed in slope-intercept form is represented by the formula \(y = mx + b\). The \(m\), or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula \(y-y_1 = m (x-x_1)\) and substitute values for \(m\), \(x_1\), and \(y_1\). Since \(m\) represents the slope of the line, substitute 2 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

\(y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2\)

So, option D is correct.  

Answer:

j

Step-by-step explanation: