Nicholas is typing a book report at an average speed of 40 words per minute. Which equation could Nicholas use to find t, the amount of time in minutes he will spend typing, if his report has [w] words?

A. t = 40w

B. w = 40t

C. t = w + 40

D. w = t + 40

Hey there!

First, we should subtract them.

90125 - 58478 = 31,647

90125 is 31647 more than 58478.

Hope this helps!

Have a great day!

Answer:

\(x = 1.68\)

Step-by-step explanation:

We have the equation
9ˣ = 40 and we have to solve for x

Take logs on both sides
\(\ln(9^x) = \ln(40)\\\\\ln(9^x) = x ln(9) \\\\\therefore x \ln(9) = \ln(40)\\\\x = \dfrac{\ln(40)}{\ln(9)}\\\\\text{Using a calculator, this works out to: }\\\\x=1.67888139\dots \\\\\text{Rounded to the nearest hundredth, }\\x = 1.68\\\\\)

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Answer:

It would tske to long for me to break it down but my best bet is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

LCM = 2x2x2x3x3x5= 360. 360*3 = 1080. So the smallest 4-digit number is 1080. Answer.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer: 8

Step-by-step explanation: you have to cross multiply 6 and 4 to get 24. 24/3 is 8

Hope this helps

By using Dijkstra's algorithm, it can be concluded that-

It will loop forever.

Third option is correct

What is Dijkstra's algorithm?

Dijkstra's algorithm is used to find the shortest path between the nodes of a graph.

Here, a node is fixed which is called the source node and the distance from the source node to all other nodes are calculated.

The minimum distance gives the shortest path.

For the first option,

The first option is incorrect because the shortest path will not be obtained. There does not exist path between every pair of vertices

For the second option

The second option is incorrect because all the conditions of Dijkstra's algorithm are fulfilled but here, infinite looping takes place.

For the fourth option

The fourth option is incorrect because there exist a path between the point M and every other vertex in the graph.

So the third option is correct

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Complete Question

The complete question has been attached

Answer:

\(f(x)=-(x+3)^2\)

Step-by-step explanation:

The parent function is f(x) = x^2.

The green function is moved 3 units to the left. This means that the function changes like this:

The green function is also reflected over the x-axis.

Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)

So, we put a negative on the outside.

\((x+3)^2\) --> \(-(x+3)^2\)

The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.

The function is also not stretched or shrunk.

So, the equation of the green function is:

\(f(x)=-(x+3)^2\)

Answer:

If a set of points is a function, the elements of the set must have the same number of elements.

For example, if the function is from A→B, the elements must be ordered pairs.

So Y is not a function.

---------------------------------------------------------------------------------------------

If Y is in fact  {(2, 6), (3, 1), (4, 1), (5, 6)}

then Y is a function, because each of the first coordinates appears only once.

In functional notation, we have f(2)=6, f(3)=1 etc....

remark: if a first coordinate is repeated, for example if we have (2, 6) and also (2, 8)

this would mean f(2)=6, but also f(2)=8, which means f is not a function.

Step-by-step explanation:

Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.

Hope this helps! :)

Step-by-step explanation:

Answer:

D

GIVE HIME BRAINLIEST

Step-by-step explanation:

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

Answer:

\( x = 11 \)

Step-by-step explanation:

Since they are similar, their correspomding side lengths are proportional to each other. Thus:

\( \frac{3x + 3}{x + 7} = \frac{38}{19} \)

\( \frac{3x + 3}{x + 7} = 2 \)

Cross multiply

\( 3x + 3 = 2(x + 7) \)

\( 3x + 3 = 2x + 14 \)

Collect like terms

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

\( x = 11 \)

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer:

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer:

(a) Roughly 68% of vehicle speeds were between 27 and 57 mph.

(b) Roughly 16% of vehicle speeds exceeded 57 mph.

Step-by-step explanation:

We are given that in a study investigating the effect of car speed on accident severity, 5000 reports of fatal automobile accidents were examined.

For these 5000 accidents, the average speed was 42 mph and the standard deviation was 15 mph.

Let X = vehicle speed at impact

SO, X ~ Normal(\((\mu=42,\sigma^{2} = 15^{2}\))

Here, \(\mu\) = population average speed = 42 mph

         \(\sigma\) = standard deviation = 15 mph

Since, the distribution is approximately normal; so the 68-95-99.7 empirical rule states that;

(a) Since, it is stated above that 68% of the data values lies within one standard deviation points, that means;

68% data values will lie between [ \(\mu-\sigma , \mu+\sigma\) ] , i.e;

        [ \(\mu-\sigma , \mu+\sigma\) ]  =  [42 + 15 , 42 - 15]

                                 =  [57 , 27]

So, it means that roughly 68% of vehicle speeds were between 27 and 57 mph.

(b) We have observed above that roughly 68% of vehicle speeds were between 27 and 57 mph which leads us to the conclusion that (100% - 68% = 32%) of the data values will be outside this range.

It is stated that of this 32%, half of the data values will be less than 27 mph and half of the data values will be more than 57 mph.

This means that roughly 16% of vehicle speeds exceeded 57 mph.

1. The area of the board shown on the scale drawing is 2400 square inches.

2. This means that the area of the actual electronics board is 100 times larger than the area on the scale drawing.

3. The area of the actual electronics board is 240,000 square inches.

1. To find the area of the board shown on the scale drawing, we need to use the scale factor to convert the dimensions on the drawing to actual dimensions. Let's say the length of the board on the drawing is 6 inches and the width is 4 inches. If the scale factor is 1:10, then we can multiply each dimension by 10 to get the actual dimensions, which are 60 inches for the length and 40 inches for the width. Then, we can find the area of the board by multiplying the length and width:

Actual length = 6 inches x 10 = 60 inches

Actual width = 4 inches x 10 = 40 inches

Area = Actual length x Actual width = 60 inches x 40 inches = 2400 square inches.

2. Adam could use the scale factor to find the area of the actual electronics board by using the ratio of the scale factor to find the conversion factor between the scale drawing and the actual dimensions. Let's say the scale factor is 1:10 as before. To find the conversion factor, we can divide the actual dimension by the dimension on the drawing:

Conversion factor = Actual dimension / Dimension on drawing

For example, for the length, the conversion factor would be:

Conversion factor for length = Actual length / Length on drawing

Conversion factor for length = 60 inches / 6 inches = 10

Adam can do the same for the width, and then multiply the two conversion factors to get the conversion factor for the area.

Conversion factor for width = Actual width / Width on drawing

Conversion factor for width = 40 inches / 4 inches = 10

Conversion factor for area = Conversion factor for length x Conversion factor for width

Conversion factor for area = 10 x 10 = 100

3. To find the area of the actual electronics board, we can use the conversion factor for the area and multiply it by the area of the board shown on the scale drawing:

Area of actual board = Area on scale drawing x Conversion factor for area

Area of actual board = 2400 square inches x 100 = 240,000 square inches.

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The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.

The transition probabilities for the Markov chain are as follows:

If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.

If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.

If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.

So, the transition probabilities can be represented in a transition matrix as follows:

P = [  [0, 1, 0],

 [0.5, 0, 0.5],

 [0, 1, 0]

]

This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.

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The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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