The graph shows the reciprocal parent function.Which statement best describes the function?O A. The function is negative when x < 0.OB. The function is never negative.C. The function is negative when x > 0.O D. The function is negative when x < 0 and also when x > 0.PREVIOUS

We can conclude that the distance traveled in 1 hour is 57 miles after doing some mathematical operations.

So, the distance traveled in 1 hour:

Then divide 238 by 4.15 as follows:

Rounding off: 57 miles

Therefore, we can conclude that the distance traveled in 1 hour is 57 miles after doing some mathematical operations.

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Using the arrangements formula, the number of ways that they can be seated for each case is given as follows:

a) No restrictions: 362,880.

b) Sam next to Sarah: 80,640.

c) Boy-girl-boy-girl: 2,880.

The number of possible arrangements of a set containing n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

For item a, we consider that 9 people will be seated with no restrictions, hence the number of ways is given as follows:

9! = 362,880

For item b, there is the restriction that Sam has to be seated next to Sarah, hence:

Hence the number of ways is:

2 x 8 x 7! = 80,640.

For item c, we can treat the boys and the girls places as independent, hence:

Hence the number of ways is:

5! x 4! = 2,880.

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After rotation the coordinates of the hexagon is (0, 8), (-3, 8), (-6, 5), (-6, -1), (-3, -2), (0, -2)

Upon rotation of this hexagon by 180

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

After rotation, the co- ordinates change from

(0, -8) → (0, 8)

(3, -8) → (-3, 8)

(6,-5) → (-6, 5)

(6, 1) → (-6, -1)

(3, 2)  → (-3, -2)

(0, 2)​ → (0, -2)

Therefore, after rotation the coordinates of the hexagon is (0, 8), (-3, 8), (-6, 5), (-6, -1), (-3, -2), (0, -2)

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Given:

Cost of computer without tax $1800.

Total cost including tax is $1890

Let the tax rate be x

Tax rate is 5%

Given:

To find:

The interval at which the function is increasing, decreasing and constant.

Explanation:

We know that,

For a function, y = F(x), if the value of y is increasing on increasing the value of x, then the function is known as an increasing function.

For a function, y = F(x), if the value of y is decreasing on increasing the value of x, then the function is known as a decreasing function.

According to the graph,

The function is increasing in the interval,

Because, if x increases from 2, the value of y increases.

The function is decreasing in the interval,

Because, if x increases from negative infinity, the value of y decreases.

As we know, a constant function is a function whose output value is the same for every input value.

Here, the function is not constant at any of the intervals.

Final answer:

Increasing:

Decreasing:

Constant: DNE.

let's put the information given in a mathematical equation:

we pass all the terms thas has w in them to the left side and left the other terms in the right side:

The midsegment theorem states that the length of the midsegment is equal to half the length of the base. From the information given,

midsegment = CD = 22

base = XY = 4x + 1

By applying the midsegment theorem, we have

CD = 1/2XY

22 = 1/2(4x + 1)

By crossmultiplying, we have

22 * 2 = 4x + 1

44 = 4x + 1

4x = 44 - 1

4x = 43

x = 43/4

x = 10.75

Thus,

Substituting x = 10.75 into XY = 4x + 1, it becomes

XY = 4(10.75) + 1

XY = 43 + 1

XY = 44

Substituting x = 10.75 into WZ = x + 3, it becomes

WZ = 10.75 + 3

WZ = 13.75

SOLUTION

From the question, we are told to distribute the multiplication across in

This means we should expand.

This becomes

Answer:

The crickets do not chirp at all below 40 degrees and at 75 degrees they chirp about 161 times per minute.

The class width for this frequency table is 5.

The class width is described as the distance between the lower class of two consecutive classes.

One can calculate class width by finding the difference between the two consecutive lower classes.

In the figure above, the first two classes are described as

0-4

5-9

So, the lower classes of these intervals are 0,5

Thus the difference between them is 5

Therefore, the class width for this frequency distribution table is 5.

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It is important to know that horizontal lines are represented by the equation y = k, where k is a real numbers.

In this case, if the equation passes thorugh (2,7), then the equation would be y = 7.

The given fraction 60/25 into a mixed number would be 2 2/5 in the lowest terms.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

First, we have to find the whole number,

Determine how many times the denominator enters the numerator. Divide 60 by 25 and preserve just the numbers to the left of the decimal point:

⇒ 60 / 25 = 2.4000 = 2

Then, find a new numerator :

Multiply the result by the denominator and subtract it from the original numerator.

⇒ 60 - (25 x 2) = 10

Now, put together

To obtain this, keep the original denominator and use the solutions from Steps 1 and 2:

⇒ 2 10/25 ⇒ 2 2/5

Thus, the given fraction 60/25 into a mixed number would be 2 2/5 in the lowest terms.

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the selling price of each card is = 28 $

let she sold x number of cards,

so, the equation is,

28x = 224

x = 224/28

x = 8

thus, the answer is number of cards sold by nandita is 8

so, the equation is

28x = 224

Given the following formula given in the exercise:

You can solve for the variable "t" by following the steps shown below:

1. You must apply the Disrtributive proprerty on the right side of the equation:

2. Now you need to apply the Subtraction property of equality by subtracting "W" from both sides of the equation:

3. Finally, you can apply the Division property of equality by dividing both sides of the equation by "Wr":

The answer is:

An inequality that represents the given graph is; 2 < x < ∞.

For the given question.

The inequality is given by the values of the number line.

The value is starting from 2 and goes up to infinity.

But, It is a hollow dot at 2 means 2 is with open interval, as 2 will not be taken for the value of x.

The values lies between, (2, ∞)

Thus, the inequality that represents the given graph is; 2 < x < ∞.

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Solution

For this case we can do the following:

m < X = 60

One angle in a right triangle needs to be 90º

So then we can find the measure of the other angle like this.

180 -90-60 = 30º

We can find the following identity:

And solving for thw leg opposite we got:

Answer:

Step-by-step explanation:

The rent is 420 a year.

6 months is half a year.

The rent for 6 months is half the rent for a year:

Solution:

A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the median, the first quartile, and the third quartile.

The general representation for a box plot is given below;

Comparing this to the box plot given in the question, the following can be deduced;

Therefore, the answer as arranged is;

The interquartile range, IQR is given by;

Therefore, the interquartile range is 5.

By definition, an Isosceles triangle is a triangle that have two congruent sides, and the altitude divides the triangle into two equal Right triangles.

Remember that a Right triangle is a triangle that has an angle whose measure is 90 degrees.

Based on this, you know that:

Knowing that:

You get that:

The Pythagorean Theorem states that:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

So you can identify that, for this case:

Where "CD" is the altitude of the triangle.

Therefore, substituting values and solving for "CD", you get this result:

The answer is: Option (1)

Answer:

It's average speed is 48 km per hour

Step-by-step explanation:

Answer:

60 km/hr

Step-by-step explanation:

150 km / 2.5 hr =  60 km/hr

Now, Now,We are given the following vectors:

We are asked to determine the following vector:

First, we will determine the vector PQ and RS. To determine PQ we use the following:

This means we need to subtract "P" from "Q". We do that by subtracting each component of the points, like this:

Solving the operations:

Now, we use a similar procedure to determine RS:

Substituting we get:

Solving the operations:

Now, we substitute the values in the vector we are looking for:

Now, we solve the product by multiplying both components of RS:

Now, we solve the addition by adding each corresponding component:

Solving the operations:

And thus we have determined the components.

Part B. We area asked to determine the magnitude of the vector. To do that we will use the following:

Given a vector of the form:

Its magnitude is:

This means that the magnitude is the square root of the sum of the square of the components. Applying the formula we get:

Now, we solve the squares:

Solving the addition:

Now, we factor the term inside the radical as follows:

Now, we distribute the radical:

Taking the left square root:

And thus we have determined the magnitude.

The ordered pair is 4 is 7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Given that,

The equation is

y = 2x-1

Substitute the value of x =4

y = 2x-1

y = 2×4-1

y = 7

The value of y at x = 4 is 7.

Hence, the ordered pair of 4 is 7.

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Answer:

-1/2, -1/4, 3/4.

Explanation:

If we draw the number in a number line, we get:

So, if we order them from least to greatest, we get:

-1/2, -1/4, 3/4.

Answer:

-1/2, -1/4, 3/4

Step-by-step explanation:

QR = QS + SR

QS = y+1/2

QS= SR

SR= y+1/2

QR= y+1/2 +y+ 1/2 = 2y + 1

QT = TP

RP = 2 TP

RP = 10

10 = 2 TP

10/2= TP

5 = TP

TP= QT

QT= 5

Since y= 5

QR = 2y + 1 = 2 (5) + 1 = 10 + 1 = 11

Answers:

QT= 5

QR= 11

Let x be the length of the rectangle and y be the width of the rectangle, then we can set the following equations:

Solving the first equation for x we get:

Substituting x=20-y in the second equation we get:

Now, we will use the first and second derivative criteria to find the maximum.

The first and second derivatives are:

Since the second derivative is a negative number that means that A(y) reaches a maximum when A´(y)=0.

Solving A´(y)=0 for y we get:

Now, substituting y=10 in x=20-y, we get:

Answer:

Length 10 yards.

Width 10 yards.

The critical value (tα/2) for a 99% confidence interval for the sample size 15 is 2.977 .

We have to find the critical value tα/2 for 99% confidence interval, we are given the sample size.

First we will find the alpha value to get the critical value.

=100%-99%

=1-0.99

=0.01

α=0.01

α/2=0.01/2

α/2=0.005

degrees of freedom(df)= n-1=15-1=14

We will use degrees of freedom and α/2 values to find the critical value that is tα/2.

By using the t table we get the critical value  of tα/2=2.977.

Therefore, the critical value for 99% confidence interval with sample size 15 is 2.977.

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$200-$225  interval shows the greatest change in water bills

A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

The interval which contains the median water bill is $200 - $225

The tabulated data  is given in the attachment.

The median class = Cummulative frequency / 2

The median class = 40 / 2

The class interval which contains the 20th frequency.

This is the 200 - 225 class

The interval which contains the median water bill is $200 - $225

Hence $200-$225  interval shows the greatest change in water bills

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Answer:

C)$200–$225

Step-by-step explanation:

edge 2023

Given,

The weight of candies normally distributed ;

Mean  weight of candies = 0.8543 g

Standard deviation, σ = 0.0519 g

Sample of candy came from a packet of 469 candies

Net weight of the packet = 400.3 g

Average weight of the candies in the packet;

[tex]x_{avg} =[/tex] ∑xi/n = 400.3/469 = 0.8535

The population standard deviation (sigma=0.0519 g) is the standard deviation for a confectionery that was chosen at random (sample size n=1).

z = (X - μ) / (σ/√n) = (0.8536 - 0.8535) / (0.0519/√1) = 0.0001/0.0519 = 0.002

P(X > 0.8536) = P(z > 0.002) = 0.4992

A randomly chosen candy has a probability P=0.4992 of weighing at least 0.8536 g.

z = (X - μ) / (σ/√n) = (0.8543 - 0.8535) / (0.0519/√441) = 0.0008/0.0024 = 0.3288

P(X > 0.8543) = P(z > 0.3288) = 0.37115

A sample of 441 candies chosen at random has a probability P=0.3712 of having an average weight of at least 0.8543 g.

z = (X - μ) / (σ/√n) = (0.8556 - 0.8535) / (0.0519/√469) = 0.0021/0.0024 = 0.89

P(X > 0.8556) = P(z > 0.89) = 0.18673

Given that the likelihood is P=0.187, the brand's claim that it delivers the amount promised to customers on the label needs to be reevaluated.

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The number whose 0.7 is 42 is 5.715.

What do you mean by number?

In mathematics, a number serves as both a unit of measurement and a label. The first examples are the natural numbers 1, 2, 3, 4, and so forth. Language can express numbers by the use of number terms. Numerals are symbols that are used to symbolize specific numbers; for example, the number "5" can be symbolize as number five.

Let the required number be X

As given in the question 0.7 of X is 42,

We can write it as:

(0.7)X = 42

If a number make to change its side around the equal sign then if it is in divide on one side so it will become in multiplication on the other side.

So,

X = 4/0.7

X = 5.715 (approximately)

Therefore, The number whose 0.7 is 42 is 5.715

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