marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)

Answer:

D

Step-by-step explanation

60/60 = 1

4/60 = 0.066....

1 foot would take 0.067 minute which would be 1/15

The ratio that represents the height of the climbers ascends per hour is

900 feet : 60 minutes

or

900 feet / hour

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

60 feet = 4 minutes

Multiply 15 on both sides.

15 x 60 feet = 15 x 4 minutes

900 feet - 60 minutes

This means,

900 feet per hour.

Thus,

The ratio that represents the height of the climbers ascends per hour is

900 feet : 60 minutes

or

900 feet / hour

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Step-by-step explanation:

we have two lines you have to draw.

one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).

the easiest is for x>5. the line function is only

f(x) = y = 3

so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).

and for x<=0 the line

f(x) = y = 4x - 3

goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.

so, the starting point (with a full dot, as x=0 is included) is (0,-3).

from there it goes sharp down and a little bit to the left.

for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).

the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.

The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.

To solve for the coefficients in the function g(x), we need to consider the conditions given:

g(x) = { 1, -1, -T ≤ x ≤ 0

{ 1, f(x + 2π) = g(x)

We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.

For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.

For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).

The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).

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Answer:

x = 0

Step-by-step explanation:

We can find slope using this formula:

\(\frac{y2 - y1}{x2 - x1} = slope\)

So we plug it in like this:

\(\frac{-5 - -2}{0-0} = \frac{-3}{0} \\\)

We see that the slope is undefined so it will be a straight vertical line

So in order to pass through y = -5 and y = -2, x would have to equal 0.

Therefore, the equation is x = 0

Hope this helps!!

- Kay

For the function, y = log₄ (x + 16) - 1, it has x-intercept of -12 and y-intercept of 1.

Logarithmic functions are functions expressed in another way for exponential functions. It is the power to which any number should be raised to yield other values.

Logₐ x = n can be written in exponential form as x = aⁿ.

y = log₄ (x + 16) - 1

x-intercept is the x-coordinate of the point when y = 0.

0 = log₄ (x + 16) - 1

For the left hand side to be equal to 0, the term log₄ (x + 16) must be equal to 1.

log₄ (x + 16) = 1  

⇒ x + 16 = 4       (∵ logₐ a = 1)

⇒ x = -12

y-intercept is the y-coordinate of the point where x = 0.

y = log₄ (0 + 16) - 1

y =  log₄ (16) - 1

y =  log₄ (4²) - 1

logₐ mⁿ = n logₐ m

⇒ y = 2 log₄ (4) - 1

⇒ y = 2 - 1     (∵ log₄ (4) = 1)

⇒ y = 1

Hence, the function y = log₄ (x + 16) - 1 has x-intercept of -12 and y-intercept of 1.

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The time it takes to empty a full tank in case both the pipes are open is calculated to be 3 hours.

The time it takes to empty a full tank can be calculated by using an algebraic expression as follows;

Consider; x = time it takes to empty the full tank if both pipes are open

Then with both pipes open, the tank empties at the rate of (1/x) tank per minute

Inlet pipe fills at the rate of 1/90 tank per minute and outlet pipe empties at the rate of 1/60 tank per minute

So with both pipes open the tank empties at the rate = (1/60-1/90) tank per min

Therefore;

1/60 - 1/90 = 1/x

multiply each term by 180x

(1/60)(180x) - (1/90)(180x) = (1/x)(180x)

3x - 2x= 180

x = 180 min or 3 hr

Hence it takes 3 hours to empty the full tank.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers.

The diagram that is best at displaying data dispersion is a box plot. Here's the main answer:When there is a need to compare the distribution of data, a box plot is often the best method.

A box plot is a diagram that shows how a dataset is distributed. It shows how data is spread out and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal (not evenly distributed).

A box plot is a great way to summarize large amounts of data and it is also very easy to read and interpret. It shows a number of statistical values, including the median (the middle value of the data set), the quartiles (the values that divide the data set into four equal parts) and the range (the difference between the maximum and minimum values).

Additionally, it can identify any outliers in the data, which are values that are significantly different from the rest of the data.A box plot is created by drawing a rectangle between the first and third quartiles (the middle 50% of the data) with a line drawn inside it to show the median.

Lines are then drawn from the edges of the rectangle to the minimum and maximum values. Any outliers are marked with a point outside of the rectangle.

The box plot is a great way to compare data sets and to visualize the dispersion of the data

The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal. A box plot is created by drawing a rectangle between the first and third quartiles with a line drawn inside it to show the median.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

See below

Step-by-step explanation:

A Type II error is a false negative, which is when one fails to reject the null hypothesis when it is actually false. In the context of this problem, the false negative is that the time spent on homework is more than two hours when it was accepted that it was just 2 hours by the principal (aka. the null hypothesis).

Hope that makes sense!

Answer:

1.5 is not a repeating decimal, and 1 1/2

Step-by-step explanation:

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,y)

(-2,-3)=(2,-3)

The answer is

2^6(1-3n)×2^4(3n-3)=2^6(-3n-3).

2^(6-18n)×2^(12n-12)=2^(-18n-18).

(6-18n)×(12n-12)=(-18n-18).

6-18n×12n-12=18n-18.

6-12×-18n-12n=18n-18

-6×-30n=18n-18.

-6×18=-18+30

-108=48n.

n= -108/48.

n=-2.25.

Answer:

\(10x^{2} +135x-8xy-108y\)

Step-by-step explanation:

Use the distributive property, remove the parentheses, and collect the terms.

Answer: I believe the answer is B

Step-by-step explanation:

Usually if there is a negative with regards to balance it represents debt.

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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x=4/7

Step-by-step explanation:

get x alone.

1st get 3 on the other side of the = sign by using the opposite sign. the opposite of addition is subtraction

-5x+3=2x-1

-3 -3

-5x=2x-1-3

-5x=2x-4

now we get the xs together. the opposite of addition( the 2 is positive) is subtraction

-5x=2x-4

-2x -2x

-7x=-4

now let's get the -7 out of here. -7 is multiplying by x. the opposite of multiplication is division.

-7x = -4

-7. -7

x=-4/-7

negative divided by a negative is a positive

x=4/7

T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.

To calculate the price per pound you can use corss multiplication

Farm Fresh

4pounds _____$3.20

1pound____$x

The onions cost $0.80 per pound

Mother nature

1/3pound ____$1/4

1pound____$x

The onions cost $1.33 per pound

Hobson's

2pounds_____$1.70

1pound____$x

The onions cost $0.82 per pound

Veggie Delight

$0.70 per pound

The least number of blocks with which he can do is 168 blocks.

What is the least Common Multiple (LCM)?

The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.

Least number of blocks = LCM of 6cm, 7cm, and 8cm.

Multiples of 6 - 6,12,18,24,30,36,42,48,54,60

Multiples of 7 - 7,14,21,28,35,42,49,56,63,70

Multiples of 8 - 8,16,24,32,40,48,56,64,72,80

Common Multiples - 168

Least Common Multiple - 168

So the least number of blocks with which he can do is 168 blocks.

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The statement regarding the mean of the distribution is true.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set, hence the equation is defined as follows:

Mean = Sum of all observations/number of observations.

Hence, when we add two values, the mean is given by the sum of the two values, as follows:

E(X + 2) = E(X) + E(2) = E(X) + 2.

Hence:

E(X + 2) − 5 = E(X) − 3.

E(X) + 2 - 5 = E(X) − 3.

E(X) - 3 = E(X) - 3.

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The buyer concludes that there is not a significant difference between the observed t-shirt sales and the expected t-shirt sales.

Given :

goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week.

Test :

Test             Contribution

Category     Observed  Proportion  Expected  to Chi-Square

Small              25                  0.1           22.5       0.277778

Medium          41                  0.2           45.0       0.355556

Large              91                  0.4           90.0       0.011111

Extra Large    68                  0.3           67.5       0.003704

The overall chi-square statistic is 0.648 and has a p-value of 0.885. Because the p-value is greater than the significance level of 0.05, the buyer fails to reject the null hypothesis.

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Step-by-step explanation:

the FH seems to be option b.6.0

........

If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.

Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.

We know that speed is the distance covered by an object in a particular period of time.

Speed=distance/time.

It is expressed as kilometers per hour or miles per hour, etc.

If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.

Distance=45 miles.

Time =distance/speed

=45/30

=1.5

Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.

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Answer:

x ≈ 6.8

Step-by-step explanation:

since all angles in a triangle add up to 180º:

8x-4+17x-23+3x+17=180

28x-10=180

28x=190

x ≈ 6.8

Answer:

BRAINLY IS USLESS GO FIND ANOTHER APP IT GOT ME A 40 ON A TEST ABSOLUTLY NOT

Step-by-step explanation: BECAUSE I SAID SO AND IM MADDD

The layout concept that includes ambient conditions, spatial layout, signs, symbols, or artifacts is known as servicescapes. It is a term coined by Booms and Bitner in 1981 and refers to the physical environment in which a service takes place.

Servicescapes have an impact on customer behavior and perception. Service providers use the concept of servicescapes to influence customers’ emotions and experiences with a service. Customers’ reactions to the servicescape can affect their perceptions of the service quality and even their behavioral intentions.

Therefore, creating an attractive, comfortable, and pleasing environment to customers is important.Servicescapes have four components that include ambient conditions, spatial layout, signs, symbols, and artifacts. Ambient conditions include temperature, lighting, music, scent, and color.

Spatial layout refers to the physical layout of furniture, walls, and equipment. Signs, symbols, and artifacts refer to the visual elements such as signage, brochures, menus, and other materials that communicate messages to the customer.

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An equation system's solution is a collection of values for the variable that concurrently fulfill each equation.

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The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution. In order to solve an equation system, all sets of variable values that could possibly exist must be found. The second equation, however, is initially without a solution (5, 4).

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution.

If both variables are eliminated and you are left with a true statement, there are an infinite number of ordered pairs that satisfy both equations. In reality, the equations' lines are the same.

Let cost token be x and golf games be y, i.e.

16x + 3y = 30

22x + 5y = 43

Lets Solve by using Elimination method both the expression in equal terms

 80x + 15y = 150

- 66x + 15y = 129

14x = 21

x = 21/14

x = 1.5

Then, for y

16(1.5) + 3y = 30

y = 2

Thus, The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

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