answer plz 3x-1=5x+10

Answer:

f⁻¹(f(6.022)) = 6.022

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Step-by-step explanation:

f⁻¹(f(x)) = x

so  f⁻¹(f(6.022)) = 6.022

inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Answer:no it does not

Step-by-step explanation:

In order for it to round up it would have to be 82.5 or higher.

Answer:

No. To round up to 83 the number has to be 82.5 or higher.

The function that represent this exponential decay is given as y = A(0.85)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Learn more about the width

https://brainly.com/question/29281920

#SPJ4

Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

The total number of coins Latanya has if she has 90 nickels and 150 pennies is 240.

The total number of coins Latanya has if she has n nickels and p pennies is n + p.

Latanya finds some nickels and pennies under the couch cushions.

Latanya has 90 nickels and 150 pennies.

Therefore, the number of coins she has can be calculated as follows:

number of nickels = 90

number of pennies = 150

Therefore,

total number of coins = 150 + 90

total number of coins = 240

If she has n nickels and p pennies, the total coins can be calculated as follows:

number of nickels = n

number of pennies = p

total coins = n + p

learn more on coins here: brainly.com/question/9637024

#SPJ1

When one outcome is favored over another, we call this favoritism or preference.

When one outcome is favored or chosen over another, it is referred to as favoritism or preference. Favoritism implies a bias towards a particular outcome or individual, while preference suggests a personal inclination or choice.

This concept is commonly encountered in various contexts. For example, in decision-making, individuals may show favoritism towards a specific option based on personal preferences or biases. In voting, people may have a preference for a particular candidate or party. In sports, teams or players may be favored over others due to their past performance or popularity. Similarly, in competitions, judges or audiences may exhibit favoritism towards certain participants.

About favoritism here:

https://brainly.com/question/3452929

#SPJ11

When one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

When one outcome is preferred or desired over another, we commonly refer to this as a preference or favoritism toward a particular result. It implies that there is a subjective inclination or bias towards a specific outcome due to various factors such as personal beliefs, values, or goals. This preference can arise from a range of contexts, including decision-making, competitions, or evaluations.

The concept of favoring one outcome over another is deeply rooted in human nature and can shape our choices and actions. It is important to recognize that preferences can vary among individuals and may change depending on the circumstances. Furthermore, the criteria for determining which outcome is favored can differ from person to person or situation to situation.

In summary, when one outcome is favored over another, it signifies a subjective inclination or bias towards a specific result based on personal factors, and this preference can influence decision-making and actions.

Learn more about bias towards

https://brainly.com/question/4540984

#SPJ11

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

The sentence "It is below freezing or not raining" can be represented as "$p \vee \sim q$" using the provided logical connectives.

The given sentence "It is below freezing or not raining" can be expressed using logical connectives as **$p \vee \sim q$**.

In this representation, the symbol $\vee$ represents the logical OR operator, which signifies that either one or both of the statements can be true for the entire sentence to be true. The statement $p$ corresponds to "It is below freezing," and $\sim q$ represents "not raining" (the negation of the statement "It is raining").

By combining $p$ and $\sim q$ using the logical OR operator $\vee$, we create the sentence "$p \vee \sim q$" which translates to "It is below freezing or not raining."

The logical connective $\sim$ represents the negation or the logical NOT operator. In this case, $\sim q$ signifies the opposite of the statement $q$, that is, "not raining."

Therefore, the sentence "It is below freezing or not raining" can be represented as "$p \vee \sim q$" using the provided logical connectives.

Learn more about sentence here

https://brainly.com/question/10680020

#SPJ11

Answer:

60 + 9 + 0.3 + 0.07

Step-by-step explanation:

Hope it helps!

Answer:

85.71 %

Step-by-step explanation:

26-14=12

12/14= 0.8571

0.8571x100= 85.71

Answer:

A change from 14 to 26 represents a positive change (increase) of 85.7142857143%

Step-by-step explanation:

Use the formula:

New - Old / Old x 100%

In other words, new(26) minus old(14) divided by old(14) time 100%

14 is the old value and 26 is the new value. In this case we have a positive change (increase) of 85.7142857143 percent because the new value is greater than the old value.

Answer

P=196                        

P=4A=4·2401=196                                  

Answer:

196m

Step-by-step explanation:

\( \sqrt{2401} = 49\)

\(49 + 49 + 49 + 49 = 196\)

Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

p / 5500 = 55 / 100

Answer:

V = π(6^2)(8) = 288π cu. in.

= 904.78 cu. in.

Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.

We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.

Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank

6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)

6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)

6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)

width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)

=  6x²- x + 12 - 3x² - 2x - 15

= 3x² - 3x - 3

To know more about distance:

https://brainly.com/question/23985885

#SPJ1

Answer:

The second graph

Step-by-step explanation:

The slope can be found by dividing the rise by the run

Choosing two points on the line (I will choose 4,4 and 8,5)

The vertical distance (rise) between these two points is 1

The horizontal distance (run) between these two points is 4

Rise/Run

1/4

The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)

The inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.

The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.

The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.

Learn more about system of inequalities here:

https://brainly.com/question/19526736

#SPJ4

Answer:

≤ and ≥ means bigger / smaller or even.

x≤23 means that x is either smaller than 23 or it is 23

x≥23 means that x is either bigger than 23 or it is 23

< and > means bigger / smaller

x<23 means that x is smaller than 23

x>23 means that x is bigger than 23

hope it helps (:

Answer:

A. 4 root 3

Step-by-step explanation:

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

The required equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4))).

An ellipse is a cross-section part of a cone structure when cutting it out a horizontal cross-section of a cone.

(x-h)²/a² + (x-k)²/b² = 1 (h,k) = centre of the ellipse. a, b = semi-minor or major axis,

The equation of the set of all points from which there are two tangents to the ellipse x²/a² + y²/b² = 1, with slopes that are reciprocals can be obtained by finding the polar equation of the ellipse and then determining the points of tangency.

For the polar equation of the ellipse, we use the transformation x = a cos(θ), y = b sin(θ). The equation of the ellipse then becomes:

a² cos2(θ) + b² sin2(θ) = a2

Rearranging, we have:

cos²(θ) = a² / (a² + b²)

So the polar equation of the ellipse is:

r = a / √(a² / (a² + b²) + sin²(θ)) = a / √(a² / (a² + b²) + (1 - cos²(θ)))

Next, we find the points of tangency by taking the partial derivative of the polar equation with respect to θ and setting it equal to zero:

∂r / ∂θ = 0

Solving for θ, we find that the tangent points occur at θ = (2n + 1) π / 4, where n is an integer.

So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are reciprocals is the polar equation of the ellipse at these tangent points:

r = a / √(a² / (a² + b²) + (1 - cos²((2n + 1) π / 4)))

For the case of negative reciprocals, the tangent points occur at θ = n π / 4, where n is an integer. So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4)))

Learn more about ellipses here:
https://brainly.com/question/14281133

#SPJ1

Answer:

think it is D

Step-by-step explanation:

look at the X axis and the number at the Y axis

The equation best models the relationship between x and y is y=-5x+125.

We have given that,

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.

We have to determine the equation best models the relationship between x and y.

The three main ways to represent a relationship in math are using a table, a graph, or an equation.

The X-axis and the number at the Y-axis.

Therefore, The equation best models the relationship between x and y is y=-5x+125.

To learn more about the graph visits:

https://brainly.com/question/4025726

#SPJ2

We can write the model story for the expression as -

"Your friend Laxman has {x} number of chocolates. You gave him 10 more chocolates. Now he has 100 chocolates in total."

Equation modelling is a process of writing a given mathematical statement in the form of a mathematical expression for the correct analysis and results of the parameters existing in that problem.

Given is the expression as -

x + 10 = 100

We can write the model story as -

Your friend Laxman has {x} number of chocolates. You gave him 10 more chocolates. Now he has 100 chocolates in total.

Therefore, we can write the model story for the expression as -

"Your friend Laxman has {x} number of chocolates. You gave him 10 more chocolates. Now he has 100 chocolates in total."

To solve more questions on equation modelling, visit the link-

brainly.com/question/30098550

#SPJ1

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

To learn more about Excel, click here:

https://brainly.com/question/29784728

#SPJ11

The point that is equidistant of the points (7, 3) and (13, -1) is (3.33, -9)

Remember the distance between two points (x₁, y₁) and (x₂, y₂) can be written as:

distance = √( (x₂ - x₁)² + ( y₂ -  y₁)²)

We want to find a point (x, y), that lies on the line y = -9 that is equidistant to  (7, 3) and (13, -1)

We can rewrite our point as (x, -9)

And the distances to the given points are:

distance = √( (x - 7)² + ( -9 - 3)²)

distance = √( (x - 13)² + ( -9 + 1)²)

These distances must be equal, (that is what equidistant means) so we can write:

√( (x - 7)² + ( -9 - 3)²) = √( (x - 13)² + ( -9 + 1)²)

Now we can remove the square root and simplify the equation:

(x - 7)² + ( -9 - 3)² =  (x - 13)² + ( -9 + 1)²

(x - 7)² + 144 = (x - 13)² + 64

x^2 - 14x + 49 + 144 = x^2 - 26x + 169 + 64

-14x + 26x = 169 + 64 - 49 - 144

12x = 40

x = 40/12

x = 3.33

The point is (3.33, -9)

Learn more about equidistant points:

https://brainly.com/question/7038052

#SPJ1

Answer: 23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

=>2(3)^2+5(root(3-2))

=>2(9)+5(root(1))

=>18+5

=>23

Answer:

y=2.05x

Step-by-step explanation:

Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.

Answer:

the 7th term of the geometric sequence with common ratio 1/3 and first term 7 is 7/729.

Step-by-step explanation:

The general formula for the nth term of a geometric sequence with first term a and common ratio r is:

an = ar^(n-1)

In this problem, the first term a is 7 and the common ratio r is 1/3. Substituting these values into the formula, we get:

a7 = 7(1/3)^(7-1)

Simplifying the exponent, we get:

a7 = 7(1/3)^6

To evaluate this expression, we can first simplify the denominator by using the fact that (1/3)^2 = 1/9:

(1/3)^6 = (1/3)^2 * (1/3)^2 * (1/3)^2 = (1/9)^3 = 1/729

Substituting this value back into the equation, we get:

a7 = 7(1/729)

Simplifying this expression, we get:

a7 = 7/729

Therefore, the 7th term of the geometric sequence with common ratio 1/3 and first term 7 is 7/729.