The photographer on the ferry charges the same price to take any group's photo. The photographer collected a total of $137.77 for the photographs shown in the line plot. Write and solve an equation to find the charge per picture​

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

Step-by-step explanation:

Just find the reciprocal of the parent function

Parent functions:

g(x)= (1/2)^x

g(x)= 4 cube root x

g(x)= |x|

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

Answer:

c

Step-by-step explanation:

i know

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

hello.

i believe this is the answer.

Answer:

-x^3 + x^2 - 2x - 4

Step-by-step explanation:

You have to subtract

Let o = the polynomial

So you know 2x^3 - x^2 + 4x + 5 - o = x^3 + 2x - 9

Now you do 2x^3 - x^3 = x^3

then you -x^2 + answer = 0

you need to cancel it out

to cancel, you found out that it is x^2

Now you need to make from 4x to 2x.

To do that, you do 4x - 2x and you get 2x

Lastly you need to change -5 to 9. To do that you add -4.

Now since it is subtraction you have to distribute

2x^3 - x^2 + 4x - 5 -(x^3 - x^2 + 2x + 4)

= 2x^3 - x^2 + 4x + 5 - x^3 + x^2 -2x -4

= x^3 -2x + 9

Answer:

Option D --->  y=5x

Step-by-step explanation:

When a line is directly proportional it means it crosses the origin so has a y- and x-intercept of 0.

So if we use the format y=mx+c, it will work but our c value will be 0 as I explained above .

To work out the gradient we simply take 2 points (0,0) and (1,5)) on the graph and use the gradient formula :

m = change in y ÷ change in x

m = 5÷1

m = 5

Therefore our direct proportion equation will be y=5x

Hope this helped and have a good day

Answer:

1.7 x 10-13 is 4 and 3.5 x 1025 is 3587.5

Step-by-step explanation:

For the first problem, multiply 1.7 by 10 and then subtract by 13, and you get 4. For the second, just multiply as normal.

(1.7)(10)−(13)(3.5)(1025)

=17−(13)(3.5)(1025)

=17−(45.5)(1025)

=17−46637.5

=−46620.5

=−46620.5

The equation is, y = x-2

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the question, we have

y increases by 1 unit with 1 unit increase in x.

The equation is, y = x-2

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

$2,950

Step-by-step explanation:

Interest earned (I) = Principal x Interest rate x Time

Total Amount (A) = Interest Earned + Principal

I = 2500(.03)(6)

I = 450

A = 450 + 2500

A = 2950

A) the parametric equations for the plane can be expressed as:

x = 3 + 3t, y = -4 + t, z = 2 + 2t

B) the Cartesian equation of the plane parallel to both LINE 2 and LINE 4 and containing the point (0, 2, -8) is 21x + 15y - 22z = 206

C) the values of t obtained for x, y, and z are different, the point (2, 1, -5) does not lie on the plane A2.

Part A) To determine the parametric equations for a plane containing LINE 2 and the point (3, -4, 2):

Given:

LINE 2: r = (2, -5, 3) + t(-1, 3, 0)

Point: P(3, -4, 2)

To find the normal vector of the plane, we can take the cross product of the direction vector of LINE 2 and the vector formed by the point P and a point on LINE 2:

Direction vector of LINE 2 = (-1, 3, 0)

Vector from point P to a point on LINE 2 = (2, -5, 3) - (3, -4, 2) = (-1, -1, 1)

Now, taking the cross product of these vectors:

N = (-1, 3, 0) × (-1, -1, 1)

Using the cross product formula, we get:

N = (3, 1, 2)

Now, the parametric equations for the plane can be expressed as:

x = 3 + 3t

y = -4 + t

z = 2 + 2t

Therefore, the parametric equations for the plane containing LINE 2 and the point (3, -4, 2) are:

x = 3 + 3t

y = -4 + t

z = 2 + 2t

Part B) To determine the Cartesian equation of a plane parallel to both LINE 2 and LINE 4 and containing the point (0, 2, -8):

Given:

LINE 2: r = (2, -5, 3) + t(-1, 3, 0)

LINE 4: v = (1, -2, 3) + s(5, -7, 3)

Point: P(0, 2, -8)

To find the normal vector of the plane parallel to both LINE 2 and LINE 4, we can take the cross product of the direction vectors of LINE 2 and LINE 4:

Direction vector of LINE 2 = (-1, 3, 0)

Direction vector of LINE 4 = (5, -7, 3)

Now, taking the cross product of these vectors:

N = (-1, 3, 0) × (5, -7, 3)

Using the cross product formula, we get:

N = (21, 15, -22)

Now, the Cartesian equation of the plane can be expressed as:

21x + 15y - 22z = d

Substituting the coordinates of the point P(0, 2, -8) into the equation:

21(0) + 15(2) - 22(-8) = d

30 + 176 = d

d = 206

Therefore, the Cartesian equation of the plane parallel to both LINE 2 and LINE 4 and containing the point (0, 2, -8) is:

21x + 15y - 22z = 206

Part C) To determine if the point (2, 1, -5) is on the plane A2:

The plane A2 is defined by the parametric equations:

x = 3 + 3t

y = -4 + t

z = 2 + 2t

To check if the point (2, 1, -5) lies on the plane, we can substitute these values into the parametric equations:

For x:

2 = 3 + 3t

t = -1/3

For y:

1 = -4 + t

t = 5

For z:

-5 = 2 + 2t

t = -7/2

Since the values of t obtained for x, y, and z are different, the point (2, 1, -5) does not lie on the plane A2.

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Answer:

Option (A)

Step-by-step explanation:

Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b

m = Slope of the line

b = y-intercept

Choose the two ordered pairs from the table (3, 274) and (7, 306).

Slope of the function 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{306-274}{7-3}\)

m = 8

Since, equation of a line passing through (x', y') and slope m is,

y - y' = m(x - x')

Therefore, equation of a line passing through (3, 274) and slope = 8,

y - 274 = 8(x - 3)

y - 274 = 8x - 24

y = 8x + 274 - 24

y = 8x + 250

Since, y = p and x = c

Therefore, p = 8c + 250 will be the equation.

Option (A) is the answer.

Answer:ok

Step-by-step explanation: the answer is A

Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403

Answer: \(y=-6x^2\) never touches the y-axis

\(y=-6x^2-4\) touches the y-axis at -4

Step-by-step explanation:

Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis

The standard deviation of the distribution of data is approximately 0.58. The correct answer is option A.

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Answer:

length=8.4m and breadth=33.6m

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

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The outliers in the following scatterplots need to be circled:--5, 15-60

The points (-5,15) and (-60,7) are outliers.

An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:

--5, 15-60

The points (-5,15) and (-60,7) are outliers.

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The value of x of the quadrilateral using the concept of similar quadrilaterals is; x = 1.5

Two quadrilaterals are referred to as similar quadrilaterals when the three corresponding angles are the same and as a result the fourth angles automatically become the same due to the fact that the interior angles of a quadrilateral sum up to 360 degrees and two adjacent sides have equal ratios.

Thus, we can say by the concept of similar quadrilaterals that;

AB/LM = BC/MN

Thus;

14/(x + 9) = 10/(x + 6)

14(x + 6) = 10(x + 9)

14x + 84 = 10x + 90

14x - 10x = 90 - 84

4x = 6

x = 1.5

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\(cos \: = > \: \frac{base}{hypotenuse} \\ \)

Here, Cos (60°) = BC/AB = a/12 units

Hope this helps :)

One of the missing side lengths in the triangle will be cos 60° = a / 12. Then the correct option is D.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The cosine of angle 60° of the right-angle triangle ABC will be given as,

cos 60° = a / 12

One of the missing side lengths in the triangle will be cos 60° = a / 12. Then the correct option is D.

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The missing options are given below.

cos 60° = 12 / a

cos 60° = 12 / b

cos 60° = b/a

cos 60° = a / 12

Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!

Answer:

3.25

Step-by-step explanation:

total 18.25 - 2.00 tip = 16.25

16.25/5=3.25

From the proportional relationship, we can conclude that  the student who was right is caylel.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Cayley says that the equation p=1.5 and 2/3p =q both represent the same

Moriah says that cannot be true because the constant of proportionality are different

Now,

Second equation;

2p/q=3

Or 2=3q/p

Both equations are same

Therefore, by algebra the correct student will be caylel.

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The quantity of vegetables Alex bought is; 32/15 pounds of vegetables

According to the question;

Hence; Amy bought; 16/5 pounds of vegetables.

Hence, the quantity of vegetables Alex bought is;

Alex = 32/15 pounds of vegetables

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Answer:

w = 1.5m + 8

Step-by-step explanation:

Basically what the question says is that the weight of a baby is equal to 8  plus the weight he gained. So then we can make the following equation...  

w = (weight he gained) + 8

(the weight gained is equal to the age in months times 1.5 pounds, so now the formula becomes.....)

w = 1.5m + 8

Answer:

B) 50%

Step-by-step explanation:

It says or so it includes both as a probability, since drawing one of the four suits is 25% adding them together would increase the probability for two either two suits to 50%

We would expect to capture 50% of the market share with the new competing store at location (x = 3, y = 2) with twice the capacity of the existing copy center.

To determine the market share we would expect to capture with the new competing store, we can use the gravity model of market share. The gravity model is commonly used to estimate the flow or interaction between two locations based on their distances and attractiveness.

In this case, the attractiveness of each location can be represented by the capacity of the copy center. Let's denote the capacity of the existing copy center as C1 = 1 (since it has the capacity of 1) and the capacity of the new competing store as C2 = 2 (twice the capacity).

The market share (MS) can be calculated using the following formula:

MS = (C1 * C2) / ((A * d^2) + (C1 * C2))

Where:

- A represents the attractiveness factor (convenience) = 2

- d represents the distance between the two locations (x = 2 to x = 3 in this case) = 1

Plugging in the values:

MS = (1 * 2) / ((2 * 1^2) + (1 * 2))

  = 2 / (2 + 2)

  = 2 / 4

  = 0.5

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The new competing store would capture approximately 2/3 (or 66.67%) of the market share.

To determine the market share that the new competing store at (x = 3, y = 2) would capture, we need to compare its attractiveness with the existing copy center located at (x = 2, y = 2).

b

Let's calculate the attractiveness of the existing copy center first:

Attractiveness of the existing copy center:

A = 2

Expenditure per customer order: $10

Next, let's calculate the attractiveness of the new competing store:

Attractiveness of the new competing store:

A' = 2 (same as the existing copy center)

Expenditure per customer order: $10 (same as the existing copy center)

Capacity of the new competing store: Twice the capacity of the existing copy center

Since the capacity of the new competing store is twice that of the existing copy center, we can consider that the new store can potentially capture twice as many customers.

Now, to calculate the market share captured by the new competing store, we need to compare the capacity of the existing copy center with the total capacity (existing + new store):

Market share captured by the new competing store = (Capacity of the new competing store) / (Total capacity)

Let's denote the capacity of the existing copy center as C and the capacity of the new competing store as C'.

Since the capacity of the new store is twice that of the existing copy center, we have:

C' = 2C

Total capacity = C + C'

Now, substituting the values:

C' = 2C

Total capacity = C + 2C = 3C

Market share captured by the new competing store = (C') / (Total capacity) = (2C) / (3C) = 2/3

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Answer:

probably It decreased by 1/2 which is a half

Step-by-step explanation: