which function below is the inverse of f(x)= 7x-1/2

Number of weeks in a row the she can afford to rent a movie, using her rental card only is 63 week

The worth of the movie rental card = $175

After the first movie, the worth of the rental card = $172.25

The amount she spent on first movie = 175 - 172.25

= $2.75

After the second movie, the worth of the rental card = 169.50

The amount she spent on second movie = 172.25 - 169.50

= $2.75

Therefore she is spending $2.75 in each movie

Then the equation will be

2.75x = 175

x = 175 / 2.75

x = 63.63

x ≈ 63

Hence, using her rental card, she can rent a movie for 63 weeks

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Solution

The shape in question is a cylinder and the surface area is given by;

Hence, the surface area of the figure is 3782.48 mm square

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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The statement that correctly compares the water bills for the two neighborhood is D. The range of water bills on Pine Road is higher than the range of water bills on Front Street.

The minimum water bill on Pine Road is $100, while the maximum is $250.

The minimum water bill on Front Street is $100, while the maximum is $225.

Therefore, the range of water bills on Pine Road (250 - 100 = 150) is higher than the range of water bills on Front Street (225 - 100 = 125).

The other statements are not correct. The overall water bills on Pine Road and Front Street are about the same. There are more homes on Front Street with water bills above $225, but there are also more homes on Pine Road with water bills below $150.

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Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are displayed in the histograms. 2 histograms. A histogram titled Pine Road Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. A histogram titled Front Street Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 5; 125 to 150, 7; 150 to 175, 8; 175 to 200, 5; 200 to 225, 8; 225 to 250, 7. Which statement correctly compares the water bills for the two neighborhoods? Overall, water bills on Pine Road are less than those on Front Street. Overall, water bills on Pine Road are higher than those on Front Street. The range of water bills on Pine Road is lower than the range of water bills on Front Street. The range of water bills on Pine Road is higher than the range of water bills on Front Street.

a) The probability of both students passing the exam is the product of their individual probabilities of passing the exam:

P(A passes and B passes) = P(A passes) × P(B passes) = 0.95 × 0.8 = 0.76

b) The probability of exactly one student passing the exam can be calculated as the sum of the probabilities of A passing and B failing, and the probability of A failing and B passing:

P(A passes and B fails) + P(A fails and B passes) = (0.95 × 0.2) + (0.05 × 0.8) = 0.19

c) The probability of at least one student passing the exam is the complement of the probability that both students fail the exam:

P(at least one student passes) = 1 - P(A fails and B fails) = 1 - (0.05 × 0.2) = 0.99

Therefore, the probability of at least one student passing the exam is 0.99.

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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a) The electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

b) the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence.

At the point of contact between the spherical balloon and the wall of the cubical box, the electric field magnitude will not be the same on both surfaces. This is because the surface of the balloon is spherical, while the surface of the box is planar. The electric field lines emanating from the charged ball will be spherically symmetric around the ball and perpendicular to the surface of the balloon. However, when the electric field lines intersect with the planar surface of the box, the field lines will be distorted due to the change in direction of the surface. As a result, the electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

At the point of contact, the number of field lines per unit area will also be different for the balloon surface and the box surface. The electric field lines from the charged ball will be distributed uniformly over the surface of the spherical balloon, so the number of field lines per unit area will be constant over the entire surface. However, when the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence. Therefore, the number of field lines per unit area on the box surface will not be the same as the number of field lines per unit area on the balloon surface.

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Question:

A small charged ball is suspended at the center of a spherical balloon that is nestled snugly inside a cubical cardboard box. On one side, the balloon touches the wall of the box. (a) At this point of contact, is the electric field magnitude on the balloon surface equal to the electric field magnitude on the box surface? Assume neither object is polarized. (b) At this point of contact, is the number of field lines per unit of balloon surface area equal to the number of field lines per unit of box surface area?

The fraction left for Mark to read is 17/20.

From the information illustrated, he wants to complete of the 160 pages book by the end of the week and Mark has read 24 pages so far.

The number of pages left will be:

= 160 - 24

= 136 pages

Therefore, the fraction of pages left will be:

= Number of pages left / Total pages

= 136 / 160

= 17/20

The fraction is 17/20.

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The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.

What is the similarity theorem of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).

SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.

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Answer:

for number 5 its:

-15 -8 8/9 -3.3

and for number 6 its:

-3.3 -8 8/9 and -15

also sorry if its wrong

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

1/6

Step-by-step explanation:

\(36^{-1/2}=\frac{1}{36^{1/2}}=\frac{1}{\sqrt{36}}=\frac{1}{6}\)

The answers to the following question is

1) KL = 10

2) TE= 15 cm

3) angle PUT= 13

4) angle SQP = 21

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

1) Using similarity property in given triangle

SR/ KI= SJ / JK

AS, JK= 2 SJ

SR/ KI= SJ / 2 SJ

5/ KI =  1/2

KL= 10

2) As, the diagonal of parallelogram bisect equally each other then

VE = TE

AS, VE = 15

So, TE= 15 cm

3) As, PU is the bisector of angle SUT

angle PUT= 1/2 (angle SUT)

PUT = 1/2 (26)

angle PUT= 13

4) As PQ is the bisector SQR

angle PQR= angle SQP = 21

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If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.

Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540

The median is the middle value in the set, which is 1,300.

After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225

The new median is still 1,300 because it is the middle value in the remaining set.

Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.

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Friend functions may directly modify or access the private data members. group of answer choices are true.

A friend function in C++ is a function that is not a member of a class but has access to its private and protected members. It is declared with the keyword "friend" inside the class. One of the advantages of using friend functions is that they can directly modify or access the private data members of a class, bypassing the normal access restrictions.

Friend functions are able to do this because they are granted special privileges by the class they are declared in. This means that they can access private data members and even modify them without using the usual public member functions of the class.

This feature can be useful in certain scenarios. For example, if we have a class that represents a complex number, we may want to provide a friend function to calculate the magnitude of the complex number directly using its private data members, instead of going through a getter function..

In conclusion, friend functions in C++ can indeed directly modify or access private data members. While this can be a powerful tool in certain cases, it should be used with caution to maintain the integrity of the class's encapsulation.

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Answer:

\(V=168\)

Step-by-step explanation:

\(Here,102=V-66\)

\(102+66=V\)

\(168=V\)

Sorry If it is wrong.....

see the attachment

Answer: 15

 9             60

-------   =   -------

 ?             100

Multiply 9 and 100, then divide by 60

You will get 15

Since 9 beings preferred joogh juice and that was 60% of the beings who were surveyed, that must mean 15 beings were surveyed in total.

Answer:

one solution (-4, -1)

Step-by-step explanation:

I hope this helps :)

Part a

we have the function

R=-0.1x^3+11x62-100x

using a graphing tool

Part b

we have that

The value of x cannot be a negative number

The value of R can be a negative number

therefore

part c

the answer part c is the option A and C

Answer:Binary Variable

Step-by-step explanation:Binary variable: a variable that can only take on two values, usually 0/1.

Answer:

Step-by-step explanation:

A angle = 180 - 47 - 105 = 28

b/sin 47 = 10 / sin 28

b = 15.6

c = sin105 * 10/sin 28 = 20.6

The points (x, y) corresponding to the parameter values t = -2, 1, 0, 1, 2 are (-4, -1), (1, -2), (2, 1), (3, 4), and (4, 7) respectively.

Given the parametric equations, we substitute the given values of t to find the corresponding values of x and y.

The parametric equations are typically written as:

x = f(t)

y = g(t)

In this case, the specific parametric equations are not provided, so we will use the general notation.

For t = -2:

Substituting t = -2 into the parametric equations, we get x = f(-2) and y = g(-2), which give us (-4, -1).

Similarly, for t = 1, 0, 1, and 2, we substitute the corresponding values into the parametric equations to obtain the points (1, -2), (2, 1), (3, 4), and (4, 7) respectively.

Therefore, the points (x, y) corresponding to the parameter values t = -2, 1, 0, 1, 2 are (-4, -1), (1, -2), (2, 1), (3, 4), and (4, 7) respectively.

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Answer:

bruh. this wat im working on too and need help also

Answer:

x = 3.6, the measure of the largest angle is 86.4

Step-by-step explanation:

15x + 24x + 21x = 180

50x = 180

180/50 = 3.6

x = 3.6

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

24x = 24(3.6)

24 * 3.6

86.4

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

5x - 4y = - 3 → (2)

Substitute y = - 3x + 5 into (2)

5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side

5x + 12x - 20 = - 3

17x - 20 = - 3 ( add 20 to both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into (1) for corresponding value of y

y = - 3(1) + 5 = - 3 + 5 = 2

solution is (1, 2 )

Answer:

x = 1 and y = 2

Step-by-step explanation:

y + 3x = 5 -------------> (1)

-4y + 5x = -3 -------------> (2)

(1) * 4

=> 4y + 12x = 20 --------> (3)

(3) + (2)

=> 0y + 17x = 17

=> 17x = 17

by dividing both sides by 17

=> x = 1

by putting x = 1 into (1)

=> y + 3*1 = 5

=> y + 3 = 5

=> y = 5 - 3

=> y = 2

Sample is used more often than a population as B. It is usually impossible to count the entire population

In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.

Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.

Therefore, the correct option is B.

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