How does this work help me please

Answer:

-70\(\frac{73}{100}\)

Hope It Help

The horizontally compressed function is \(\(\text{g(x)} = x^2 + 6\)\). The correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).

To horizontally compress the function \(f(x) = x^2\), we can modify the equation by introducing a horizontal compression factor. Let's call the compressed function \(g(x)\).

The general equation for a horizontally compressed function can be expressed as \(g(x) = f(ax)\), where a is the compression factor.

In this case, we want to compress \(f(x) = x^2\). Let's choose a compression factor of \(\frac{1}{2}\).

Therefore, the equation for \(g(x)\) would be:

\(\[ g(x) = f\left(\frac{x}{2}\right) = \left(\frac{x}{2}\right)^2 \]\)

Simplifying this equation, we have:

\(\[ g(x) = \frac{x^2}{4} \]\)

Hence, the equation of \(g(x)\) is:

\(\[ \text{g(x)} = \frac{x^2}{4} \]\)

So, the correct option is OC. \(\(\text{g(x)} = x^2 + 6\)\).

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Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

Answer:

4/8.

Step-by-step explanation:

4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.

t = n(p-c)

t=100(11.75 - 1.75)

t = 100(10)

t=$1000

total profit received = $1000

Answer:

Area of a square garden = 2, 500 m².

Length of the side of the garden =  √2,500 = 50 m.

Width of the path = 2.5 m.

Path is inside the garden.

Width of the garden that is inside (enclosed) by the path:

        50 - 2 * 2.5 = 45 m.

Length of the garden inside by the path :  = 45 m.

So the area of garden inside the path = 45 * 45 m²

     = 2, 025 m².

Area of the path = 2, 500 - 2, 025  

    = 475 m².

Cost of laying the path = Rs 25 /m² * 475 m²

   = Rs 11, 875.

Step-by-step explanation:

Answer:

Franks fish weighs .42 lbs

Step-by-step explanation:

.7 * .6 = .42

Answer:  33.51 cubic units.

Step-by-step explanation: The equation for the volume of a circle is:

V = (4/3)πr³

where r is the sweep of the circle.

Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:

r = d/2 = 4/2 = 2

Presently we are able plug within the esteem of the sweep into the equation for the volume:

V = (4/3)π(2³) = (4/3)π(8) = 32/3π

Answer: 33.51

Step-by-step explanation:

The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.

Answer:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Step-by-step explanation:

To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.

Given:

Cruise ship velocity (south): 22 mph

Gulf Stream velocity (east): 4 mph

A) Vector component for the cruise ship:

The cruise ship is traveling south, so its velocity vector is (0, -22).

B) Vector component for the Gulf Stream:

The Gulf Stream is flowing east, so its velocity vector is (4, 0).

C) Resultant vector:

To find the resultant vector, we'll add the two velocity vectors together:

Resultant vector = Cruise ship velocity + Gulf Stream velocity

Resultant vector = (0, -22) + (4, 0)

Resultant vector = (0 + 4, -22 + 0)

Resultant vector = (4, -22)

D) Resultant velocity:

The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:

Resultant velocity = sqrt((x-component)^2 + (y-component)^2)

Resultant velocity = sqrt((4)^2 + (-22)^2)

Resultant velocity = sqrt(16 + 484)

Resultant velocity = sqrt(500)

Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)

E) Resultant direction:

The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.

Resultant direction = arctan(y-component / x-component)

Resultant direction = arctan(-22 / 4)

Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)

Therefore, the answers are:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Answer:

Domain:  All real numbers; x ≠ 0, 1, 2

Zero(s):  x = 3

Step-by-step explanation:

\(f(x) = \frac{(x-3)^2}{x^3 - 3x^2 +2x}\\ \\f(x) = \frac{(x-3)(x-3)}{(x)(x-2)(x-1)}\)

Domain:  All real numbers; x ≠ 0, 1, 2

x cannot equal any of these values because it causes the function to be undefined.

Zero(s):  x = 3

The function is equal to 0 when the numerator is equal to 0. This happens when x = 3.

Answer:36000

Step-by-step explanation:

He saves 36000 dollars

Matteo is 4 inches taller than Nico.

Sarah is wrong because she didn't consider the conversion rate from ft to inches.

Height of Matteo = 4 feet 3 inches

Height of Nico = 3 feet 11 inches.

From conversion tables, we know that;

12 inches = 1 ft.

Height of Matteo = (4 × 12) + 3 = 51 inches

Height of Nico = (3 × 12) + 11 = 47 inches

Thus, difference in height = 51 - 47 = 4 inches.

Thus, Matteo is 4 inches taller than Nico.

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Answer:

There are 12 months per year so:

58000 - 12(3450) =  $________ more

Just plug into calculator or otherwise

work the arithmetic.

Hope this helps.

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

864

Step-by-step explanation:

do the square root of the total number

Answer:

\(EF = 18\)

Step-by-step explanation:

Given

\(\triangle DE\ F\) similar to \(\triangle JHI\)

Required

Find \(EF\)

\(\triangle DE\ F\) similar to \(\triangle JHI\) implies that:

The corresponding sides are:

\(DE \to JH\)

\(DF \to JI\)

\(EF \to HI\)

\(FG \to IK\)

First, solve for x using the following corresponding ratios

\(EF : HI = FG : IK\)

This gives:

\(x + 8 : 3x - 2 = 9 : 14\)

Express as fraction

\(\frac{x + 8 }{ 3x - 2} = \frac{9 }{ 14}\)

Cross multiply

\(14(x + 8) = 9(3x - 2)\)

Open brackets

\(14x + 112 = 27x - 18\)

Collect like terms

\(27x - 14x = 112 + 18\)

\(13x = 130\)

Solve for x

\(x = 10\)

In the diagram, we have:

\(EF = x +8\)

\(EF = 10 +8\)

\(EF = 18\)

Answer: 1.05 bytes (1.04761905)

Explanation: The operation to use when you need to find how much of something is in another is division.  And since we're trying to find out how many kilobytes are in a megabyte, you'd need to divide 220 by 210. After doing so, you should get a quotient of 1.04761905. When a remainder is present, you can round it up. I chose to round up by the nearest hundredth. Therefore, there are 1.05 kilobytes in a megabyte.

I hope this helped!

Good luck <3

Answer:

Volume L× W × H

Volume 4 × 3 × 2

4 × 3 × 2 =24

If the fish poke is 6 feet long and she has a rectangular prism of 24 since 4 × 3 ×2 equals 24 then yes she can store the fishing pole in the box

24

The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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Answer and Step-by-step explanation:

The calculation of cumulative frequency distribution is shown below:-

Daily low temperature    Frequency    cumulative frequency

35-39                                    3                        3

40-44                                    2                        3 + 2 = 5

45-49                                    5                        5 + 5 = 25

50-54                                   12                       25 + 12 = 37

65-69                                    6                       37 + 6 = 43

55-59                                    8                      43 + 8 = 51

60-64                                    1                       51 + 1 = 52

We simply applied the above format

Answer:

The  variable are

A and  B

Step-by-step explanation:

Generally we can define a variable as a name of a placeholder representing a value  now considering the option to be selected from we see that

    The students' verbal SAT scores is a variable  because it is a phrase or a place holder that represent a value (in the is case a  numerical value)  which the score its self

    The second option  The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself

  The  third option The 75 students is not a variable because it is not representing any value but itself is the value

  The  third option The 750 students is not a variable because it is not representing any value but itself is the value

Answer: skewed right

Step-by-step explanation:

Trust

The shape of the probability histogram of X is skewed right.

The correct answer is (B)

Skewness refers to a distortion or asymmetry that deviates from the symmetrical bell curve, or normal distribution, in a set of data.

As, English test has 50 multiple-choice questions, each with five answer choices and one correct answer.

Let X represent the number of questions answered correctly.

In statistics, a positively skewed (or right-skewed) distribution is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer.

By looking the condition given in the questions, we can say that the shape will be skewed right on histogram.

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Answer

a) 8, 10, 6

Right angle triangle.

b) 32, 19, 11

Not a triangle

c) 10, 24, 16

Obtuse triangle

Explanation

To answer this question, we first explain what these type of triangles are

- Acute triangle has all of the angles in the triangle being less than 90 degrees.

- Right angle triangle has one of the angles in the triangles being equal to 90 degrees.

- Obtuse triangle has one of the angles in the triangle being greater than 90 degrees but obviously less than 180 degrees.

If the three sides in a triangle are a, b and c with c being the longest side.

When c² < a² + b²

The triangle is an acute triangle.

When c² = a² + b²

The triangle is a right angle triangle.

When c² > a² + b²

The triangle is an obtuse triangle.

But, it should be noted that if the longest side is equal to or more than the sum of the two sides, c ≥ a + b, the triangle is not possible.

So, we will take each of the questions one at a time

a) 8, 10, 6

a = 8

b = 6

c = 10 (longest side)

a² + b² = 8² + 6² = 64 + 36 = 100

c² = 100

100 = 100

c² = a² + b²

Hence, this triangle is a right angle triangle.

b) 32, 19, 11

a = 19

b = 11

c = 32 (longest side)

a + b = 19 + 11 = 30

c = 32

32 > 30

Hence, this triangle is not possible.

c) 10, 24, 16

a = 10

b = 16

c = 24 (longest side)

a² + b² = 10² + 16² = 100 + 256 = 356

c² = 24² = 576

576 > 356

c² > a² + b²

Hence, this triangle is an obtuse triangle.

Hope this Helps!!!

This transformation takes a vector (x,y) and maps it to the vector (x+2, y+16). In other words, it moves the X coordinate of the vector 2 units to the right, and the Y coordinate of the vector is moved 16 units upwards.

If you would take a set of points and apply this transformation, you would see the entire set moving upwards and to the right, with no stretching ou rotating. This type of transformation is called a translation transformation.

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.