This question refers to the following information.How many inches of molding would be needed to frame the figure above?

The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does

Relationships between two variables that are proportional occur when their ratios are equal.

Therefore the proportional relationship is represented by the formula,

y = kx .

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Answer:

Scalene. A scalene triangle has three different angles and none of its sides are equal in length

Answer:

\(f(x)=-|x-3|+7\)

Step-by-step explanation:

The parent function of an absolute function is the modulus function:

\(f(x)=|x|\)

Graph of Modulus function:

(see 2nd attachment)

\(f(x)=|x|=\begin{cases} \textsf{\:\:\:$x$, \quad if $x\geq 0$}\\\textsf{$-x$, \quad if $ x < 0$} \end{cases}\)

Its vertex is at the origin (0, 0).

Its line of symmetry is x = 0.

It opens upwards.

Given information:

The axis of symmetry is the x-value of the vertex of an absolute function. 

The y-value of the range is the y-value of the vertex of an absolute function.  

Therefore, the vertex of the absolute function f(x) is (3, 7).

Graphing

To find the equation of the absolute function, work out the series of transformations that take the parent function to the given function.

As the function f(x) has a range of (-∞, 7), it opens downwards.  Therefore, the parent function has been reflected in the x-axis:

\(\implies -f(x)=-|x|\)

As the function f(x) is symmetric about the line x=3, the parent function has been translated 3 units to the right:

\(\implies -f(x-3)=-|x-3|\)

Finally, as the highest y-value of the function is y = 7, the y-value of its vertex is y = 7.  Therefore, the parent function has been translated 7 units up:

\(\implies -f(x-3)+7=-|x-3|+7\)

Therefore, the equation of the absolute function with the given parameters is:

\(f(x)=-|x-3|+7\)

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

44

Step-by-step explanation:

We are given:

ab/c = 2 ---------------(1)

bc/a = 4 ---------------(2)

ac/b = 6 ---------------(3)

Multiplying (1) and (2):

ab*bc / ac = 8

b² = 8

Multiplying (2) and (3):

bc*ac/ab = 24

c² = 24

Multiplying (1) and (3):

ac*ab/bc = 12

a² = 12

Now, finding the value of a² + b² + c²:

8 + 24 + 12 = 44 (replacing the values of a² , b² and c²)

Hence, a² + b² + c² = 44

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer: 57 dollars, hope this helps!

The weight that corresponds to the highest 5% is also approximately 398.12 grams.

What is Z-Score?

A score's connection to the mean within a group of scores is statistically measured by a Z-Score.

To find the weight that corresponds to each event, we need to use the standard normal distribution and convert each value to a z-score using the formula:

z = (x - μ) / σ

Here are the calculations for each event:

The weight that corresponds to the 25th percentile:

-0.68 = (x - 385) / 8

Solving for x gives:

x = 379.44 grams (rounded to two decimal places)

Therefore, the weight that corresponds to the 25th percentile is approximately 379.44 grams.

The weight that corresponds to the 95th percentile. we find that the z-score is approximately 1.64 (rounded to two decimal places). Then we can use the formula above to solve for x:

1.64 = (x - 385) / 8

x = 398.12 grams (rounded to two decimal places)

Therefore, the weight that corresponds to the 95th percentile is approximately 398.12 grams.

The weight that corresponds to the highest 5%:

1.64 = (x - 385) / 8

x = 398.12 grams (rounded to two decimal places)

Therefore, the weight that corresponds to the highest 5% is also approximately 398.12 grams.

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Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = \(\frac{8 \ hours}{3 \ jobs}\)

                       = \(2.666 \ hours \ per \ job\)

The jobs per hour will be:

⇒  \(\lambda=\frac{1}{2.666}\)

       \(=0.375\)

(b)

⇒ Service rate = jobs per hour

then,

                      μ = \(\frac{1 \ repair \ job}{2 \ hours}\)

                         = \(0.5 \ jobs\)

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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$15 per hour

For 9 hours the total cost is $195

Total Cost = One time fee + $15 per hour times the number of hours

If y is the total cost and x is the number of hours, we can write:

y = One time fee + 15x

They say that when x = 9, y = 195:

195 = One time fee + 15(9) = one time fee + 135

One time fee = 195 - 135 = 60

One time fee = 60

So the equation would be:

y = 60 + 15x

Th standard form of a line in point and slope is y = mx + b

In this case: y = 15x + 60

Answer:

y = 15x + 60

Answer:

175%

Step-by-step explanation:

70 = p * 40

p = 1.75 or 175%

Answer:

Step-by-step explanation:

175%

Answer:

20/16

Step-by-step explanation:

4 divided by 16 is 4. so that would mean 4 x 4 = 16, just apply that to 5 and you get 20 because 5x4 is 20.

Answer:

20/16

Step-by-step explanation:

BRAINLIEST would be great.

Answer:

(x-1) ( x -i) (x+i)

Step-by-step explanation:

x^3 -2x^2 +x-2

Factor by grouping

x^3 -2x^2      +x-2

x^2(x-2)      +1(x-2)

Factor out (x-2)

(x-2) (x^2+1)

Rewriting

(x-1) ( x^2 - (-1)^2)

(x-1) ( x -i) (x+i)

Answer:

Should be b

Step-by-step explanation:

Since it's a multiple choice question you know that -2 or 2 has to be a root for the cubic.

You can test both -2 and 2 and see that replacing x for 2 has the expression evaluate to 0.

Then, since you know the imaginary roots have to be conjugates, you get B.

Answer:

255.408

Step-by-step explanation:

Answer:

AAAAAAAAAA

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

5 • 10^-4 I evaluate this by using scientific notation.

The value of the ratio  (3.5 x 10⁵) : (7x10⁸)  is 0.0005.

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.

Dividing the numerical coefficients 3.5 and 7, we get:

3.5 ÷ 7 = 0.5

Dividing the exponents 5 and 8, we get:

10⁵ ÷ 10⁸ = 10⁵⁻⁸

              = 10⁻³

Therefore, the simplified expression is:

0.5 x 10⁻³

We can further simplify this expression by converting 10⁻³ to a decimal:

10⁻³ = 1/1000 = 0.001

So, the final answer is:

(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³

                              = 0.5 x 0.001

                              = 0.0005

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Answer:

C

Step-by-step explanation:

you can add like terms so C is the correct answer

Answer:

hi how are you doing today Jasmine

Letss try using Pythagoras Theorem with

\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)

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Answer:

x = -8 and x= 7

Step-by-step explanation:

recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.

Hence the asymptototes will occur in x-locations where the denominator , i.e

(x+8)(x-7) = 0

solving this, we get

(x+8) = 0 ----> x = -8

or

(x-7) = 0 ------> x = 7

hence the asymptotes occur x = -8 and x= 7

Answer:

x = -8 and x = 7.

Step-by-step explanation:

The vertical asymptotes are lines that the function will never touch.

Since no number can be divided by 0, the function will not touch points where the denominator of the function is equal to 0.

\(\frac{x - 6}{(x + 8)(x - 7)}\), so the vertical asymptotes will be where (x + 8) = 0 and (x - 7) = 0.

x + 8 = 0

x = -8

x - 7 = 0

x = 7

The vertical asymptotes are at x = -8 and x = 7.

Hope this helps!

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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Answer:

Step-by-step explanation:

Looking for P(B|A)

conditional probability formula: A|B= (A∩B)/B

so B|A= (B∩A)/A

B∩A= 19+27= 46

A= 50+19+27+45= 141

46/141= .3262

Step-by-step explanation:

NO. OF STUDENTS THAT HAVE COMPLETED BOTH SMOOTH&RYTHM=19+27=46

TOTAL NO. OF STUDENTS IN SMOOTH AND RYTHM =141

Therefore,

Probability=46/141

=0.326

The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

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