Let g(x) be a horizontal compression of f(x) = -x + 4 by a factor of 0.5. Write the
rule for g(x).
g(x) = 4x+4
g(x)=x-4
g(x)=0.5x-4
g(x)=-2x+4
1 pts
There is no correct answer given.

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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It is any number that can be represented on a number line. It can be positive, negative, rational, or irrational. Include final answers: y = mx + b, x = a, answer cannot be written in numerical form

The solution to the given problem is as follows; If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is "m."

Then the slope-intercept form equation of the line l can be written as;

y = mx + b Here, "b" is the y-intercept of the line "l".

Now if the line "l" passes through a point (x1, y1), then the slope-intercept form equation of the line "l" becomes;

y = m(x - x1) + y1

Given that the line is not a vertical line, that means its slope is not undefined.

Therefore, the slope-intercept form equation of the line "l" can be written as;

y = mx + b

Now, the question is not providing any values for slope "m" or y-intercept "b", so it is not possible to write the equation of the line "l" completely.

However, it can be said that the equation of the line "l" can't be written in the form of x = a as it is a non-vertical line.

Therefore, the answer is;

Code: it is not possible to write the equation of the line "l" completely in the form of y = mx + b or x = a as it is a non-vertical line.

The answer cannot be written in decimal or any other numerical form.

Vertical line: x = a

Real number: It is any number that can be represented on a number line.

It can be positive, negative, rational, or irrational.

Include final answers: y = mx + b, x = a, answer cannot be written in numerical form.

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Answer:

sorry dont know

Step-by-step explanation:

good luck tho

\

f(x) = 0.5x-1.5x+1

4x<-1

-1 ≤ x ≤ 3

x < 3

Answer:

c < 7.

Step-by-step explanation:

Number of carrots c is less than 7.

Answer:

Step-by-step explanation:

To write a number in scientific notation or standard form we write the number and multiply it by 10 to the power of any number

  The proper format for scientific notation is a x 10^b  and it is read "a times 10 to the power of b"

Given the diameter of 2.5

in standard form or scientific notation is \(2.5*10^0\)

Answer:

x = 14

y = 37

Step-by-step explanation:

3x + 9x +12 = 180 {linear pairr}

    12x + 12 =180

         12x = 180 - 12

          12x = 168

             x = 168/12

x = 14

3x  = 3*14 = 42

4y - 10  + 3x = 180         {linear pair}

4y - 10 + 42 = 180

          4y + 32 =180

               4y  = 180 - 32

               4y = 148

                 y = 148/4

                y = 37

Answer:

d

Step-by-step explanation:

is correct answer

ok

write a answer

The number of stops that the runner would make is 9.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since the runner runs 1 4/5 miles and stops every 1/5 mile. The number of stops will be:

= Total mile / Stop

= 1 4/5 ÷ 1/5

= 9/5 ÷ 1/5.

= 9/5 × 5/1

= 9

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We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

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Answer:

-1/6

Step-by-step explanation:

Answer:

The bond yield is 6.80%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond yield?

The bond can now be calculated as follows:

Coupon payment = Coupon rate * Bond per value = 8.5% * $2,000 = $170

Bond yield = Coupon payment / Current value of the bond = $170 / $2,500 = 0.068, or 6.80%

Therefore, the bond yield is 6.80%.

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

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

The Z-transform of the sequence x(n) = (2ⁿ)(3⁻ⁿ)(u(n-1)) is X(z) = (z - 3)/(z - 2).

The Z-transform is a mathematical transformation used to convert discrete-time signals into the Z-domain, which is a complex plane defined by the variable z. The Z-transform of a sequence x(n) is denoted by X(z).

Given the sequence x(n) = (2ⁿ)(3⁻ⁿ)(u(n-1)), where u(n) is the unit step function, we can apply the Z-transform to find X(z).

The Z-transform of (2ⁿ)(3⁻ⁿ) can be found using the property of the Z-transform:

Z{(aⁿ)(u(n))} = a⁻¹/(z - a)

Applying this property, we have:

Z{(2ⁿ)(3⁻ⁿ)(u(n-1))} = (1/3)/(z - 2) - (1/2)/(z - 3)

Simplifying the expression, we get:

X(z) = (z - 3)/(z - 2)

This is the Z-transform of the given sequence x(n). The region of convergence (ROC) for this Z-transform is the exterior of the circle centered at the origin with a radius of 2. In other words, the Z-transform X(z) is valid for all values of z that lie outside the circle |z| = 2.

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Integers are whole numbers, either positive or negative. In this scenario, the time can include fractions like 2.5. The values can range from 0 upwards

Thus, the correct option is the first one

The solution to the questions regarding correlation between variables are :

The correlation coefficient (r) is used to determine the strength of relationship between variables.

The price of hamburger and soda shows a strong positive association. This can be infered from the value of the correlation coefficient which is positive and above 0.5

The line equation is written in the form y = mx + b

soda price , x = $7.6

Hamburger price , y = ?

y = 0.72(7.6) + 2.03

y = 6.93

Hence, Cost of hamburger would be $6.93

I don't agree with Sydney's thinking because correlation only evaluates relationship between variables using data provided. There may be many factors which could have caused a certain phenomenon.

However, correlation does not infer causation. Therefore, Sydney is wrong.

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Kon'nichiwa!

To Acquire=>the binomials below is a factor of

\(x {}^{2} - 5x - 14\)

Step-by-step explanation:

By Middle splitting method

=>

\(x {}^{2} - 5x - 14 \\ = x {}^{2} + 2x - 7x - 14 \\ = x(x + 2) - 7(x + 2) \\ = (x - 7)(x + 2)\)

Hence, (x-7) Is the required answer

Hope it Helps

Have a good day Ahead

Answer:

The equation of a vertical line in the graph, that is parallel to the y-axis is x = a. The slope of a vertical line is infinity or undefined as it has no y ...

Ummm... Are you ok? Please retype this lol

Answer:

Can anyone tell which language is this..... Lol

The exponential function that best models the data-set in this problem is given as follows:

\(y = 4.13(2.22)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

For this problem, we have an exponential function with a rate of change of approximately 3, hence it is given as follows:

\(y = 4.13(2.22)^x\)

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The tangent line and radius or diameter of the circle intersect at a right angle and the tangent intersects the circle at a single point only. Then the correct option is A, B, and D.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The tangent line and radius or diameter of the circle intersect at a right angle.

And the tangent line intersects the circle at a single point only.

The number of the tangent line depends on the point from which the tangent is drawn.

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There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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The original number is -21/5 or -4.2 which is divided by 3 more than the number.

In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.

Let the number be 'x' Two times the number = 2x3 more than the number = x + 3

According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7

By applying cross multiplication,2x = 7 × ( x+3)2x

= 7x + 7×32x

= 7x + 212x - 7x

= 21-5x = 21x = 21/ (-5)x

= -4.2

Hence the original number is -4.2

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Answer:

1. Melissa and Corey started on different trails.

2. Melissa hiked up the trail for a longer period of time than Corey.

3. Melissa and Corey crossed paths between 60 and 90 minutes.

4. Corey began his descent before Melissa.

Step-by-step explanation:

A. Melissa and Corey started on different trails. - TRUE

Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.

B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE

Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins

C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE

Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.

D. Corey began his descent before Melissa. - TRUE

Rationale: Corey started descending earlier at 60 mins before Melissa

E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE

Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.

Answer:

A) Melissa and Corey started on different trails.

B) Melissa hiked up the trail for a longer period of time than Corey.

D) Corey began his descent before Melissa.

Step-by-step explanation:

I got it right on Edge :D

Answer

D:9

Step-by-step explanation:

i took the test and got it right

Answer:

D- 9

Step-by-step explanation:

good luck :)

The compound amount for a deposit of $9,000 at an interest rate of 5.43% compounded continuously for 2 years is approximately $10,118.10. The interest earned on this deposit is approximately $1,118.10.

In continuous compounding, the formula for the compound amount is given by A = P * e^(rt), where A is the compound amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.

Plugging in the given values, we have A = 9000 * e^(0.0543*2). Evaluating this expression, we find that A is approximately $10,118.10.

To calculate the interest earned, we subtract the principal amount from the compound amount: Interest = A - P = $10,118.10 - $9,000 = $1,118.10. Therefore, the amount of interest earned on this deposit is approximately $1,118.10.

In summary, the compound amount for a deposit of $9,000 at 5.43% compounded continuously for 2 years is approximately $10,118.10. The interest earned on this deposit is approximately $1,118.10.

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The general solution is then:

y = y_h + y_p
y = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x)) + (13/2)x^2 - (21/4)x - (11/4)e^x

To solve this differential equation by undetermined coefficients, we first find the homogeneous solution by solving the characteristic equation:

r^2 - 8r + 20 = 0

The roots of this equation are r = 4 ± sqrt(4), which are complex conjugates. Therefore, the homogeneous solution is:

y_h = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x))

To find the particular solution, we guess a solution of the form:

y_p = Ax^2 + Bx + Ce^x

Taking the first and second derivatives of this guess, we have:

y'_p = 2Ax + B + Ce^x

y''_p = 2A + Ce^x

Substituting these into the original differential equation, we get:

2A - 8(2Ax + B + Ce^x) + 20(Ax^2 + Bx + Ce^x) = 100x^2 - 65xe^x

Simplifying and collecting like terms, we get:

(20A - 8C)x^2 + (20B - 65C)e^x + (2A - 8B + 20C) = 100x^2 - 65xe^x

Equating coefficients, we get the system of equations:

20A - 8C = 100
20B - 65C = -65
2A - 8B + 20C = 0

Solving for A, B, and C, we get:

A = 13/2
B = -21/4
C = -11/4

Therefore, the particular solution is:

y_p = (13/2)x^2 - (21/4)x - (11/4)e^x

The general solution is then:

y = y_h + y_p
y = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x)) + (13/2)x^2 - (21/4)x - (11/4)e^x

where c1 and c2 are arbitrary constants.

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Using the graph method, Central Fabric should determine the most profitable numbers of bolts to purchase from mills A and B by considering profit calculations, supply and demand constraints, and plotting a profit graph.

To determine the most profitable numbers of bolts that Central Fabric should purchase from mills A and B using the graph method, we need to create a profit graph based on the given information.

Start by calculating the total available supply for each market channel:

Fabric Stores: (0.40 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Discount Stores: (0.10 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Direct Mail: (0.30 * Total Bolts from Mill A) + (0.40 * Total Bolts from Mill B)

Determine the maximum number of bolts that can be sold in each market channel:

Fabric Stores: 1,600 bolts

Discount Stores: 2,800 bolts

Direct Mail: 2,600 bolts

Calculate the profit for each combination of bolts purchased from mills A and B:

Profit from Mill A: (0.60 * Total Bolts from Mill A - 0.20 * Total Bolts from Mill A) * P8,000

Profit from Mill B: (0.80 * Total Bolts from Mill B - 0.20 * Total Bolts from Mill B) * P6,000

Plot the profit graph by considering different combinations of Total Bolts from Mill A and Total Bolts from Mill B, while taking into account the constraints of available supply and market demand.

Find the combination of Total Bolts from Mill A and Total Bolts from Mill B that maximizes the profit while satisfying the supply and demand constraints. This point on the graph represents the most profitable numbers of bolts to purchase from mills A and B.

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