In AOPQ, PQ = 19, QO = 11, and OP = 20. Which statement about the angles of AOPQ
must be true?

F(x) is one-to-one, and it is invertible.

The inverse of f(x) is f^-1(x) = (x + 8)^(1/4)/∛3.

We need to check if it is a one-to-one function.

A function is one-to-one if every element in the domain is paired with a unique element in the range.

To check if f(x) is one-to-one, we can use the horizontal line test. If no horizontal line intersects the graph of the function more than once, then the function is one-to-one.

Taking the derivative of f(x), we get:

f'(x) = 12x^3

Since f'(x) is always positive, f(x) is a strictly increasing function. This means that no two different inputs x1 and x2 can produce the same output f(x1) = f(x2).

Therefore, f(x) is one-to-one, and it is invertible.

To find the inverse of f(x), we can follow these steps:

Step 1: Replace f(x) with y:

y = 3x^4 - 8

Step 2: Solve for x in terms of y:

y + 8 = 3x^4

x^4 = (y + 8)/3

x = (y + 8)^(1/4)/∛3

Step 3: Replace x with f^-1(x):

f^-1(x) = (x + 8)^(1/4)/∛3

Therefore, the inverse of f(x) is f^-1(x) = (x + 8)^(1/4)/∛3.

Learn more about function here : brainly.com/question/10439235

#SPJ1

Answer:

Step-by-step explanation:

Training data overall accuracy is >96%

Test data overall accuracy is <96%

A single feature is not the best choice but a combination of features might be optimal.

The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.

Answer:

the equation is y= -x-5

Answer:

1

Step-by-step explanation:

-2-(-9)/-3-4

-2+9/-7

7/-7=1

The mean average number of lates per student is given as follows:

8.3 lates per student.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The number of students in this problem is given as follows:

15 students.

We have a grouped frequency distribution, hence we consider each observation as the midpoint of each interval, thus the sum of the observations is given as follows:

S = 4 x 3 + 7 x 8 + 3 x 13 + 1 x 18

S = 125.

Then the mean number of lates per student is given as follows:

125/15 = 8.3 lates per student.

More can be learned about the mean of a data-set at https://brainly.com/question/1136789

#SPJ1

The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

for similar questions on probability.

https://brainly.com/question/25839839

#SPJ8

Answer:

The answer is 6cm

Step-by-step explanation:

2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm

Answer:

I don't know what are you saying bro

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

Answer:

No, the zeros of the function are at x = 3/4 and x = –2

Step-by-step explanation:

the equation

4x² + 5x – 6 = 0

(note: since there is a coefficient of x² we need to multiply it to the last term(6))

4x² + 5x – 24 = 0

the factors are :- 8x and – 3x

4x² + 8x – 3x – 6 = 0

4x( x + 2) –3( x + 2) = 0

( 4x – 3)( x + 2) = 0

the zeros will be

4x – 3 = 0

4x = 3

\(x = \frac{3}{4} \)

x + 2 = 0

x = – 2

the zeros are x= 3/4 or –2

i hope this helps

The domain of the function f(x)= -long(5-x)+b is all real numbers except for x = 5.

Function is the process or state of instruction that text inputs performance is specific task and produce an output functional key components of programming language allowing the quarter to create complex commands with simple instruction for example a function can be used to add two numbers together or to generate a random number function can also be combined to create more complex sequence of instruction.

The range of this function is all real numbers as the long function will never return a negative value. The value of b determines the exact range of the function, as it shifts the graph up or down.

To know more about the function click-

brainly.com/question/25638609

#SPJ1

The complete question is: Will changing two or more objective function coefficients simultaneously affect the optimal solution?

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer:

2 Minutes

Step-by-step explanation:

the first ratio is 5:10 since it is easier to work with big numbers let's start by  multiplying it by 2 to get something

Now we have 10:20 we can divide this by 10 and get the ratio 1:2

1:2 equals 1 mile:2 minutes which is 1 mile in 2 minutes!

Have a nice day and I hope this helps!

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

The base is 7 units and the height is 3 units of the rectangle.  Then the correct option is D.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

On a coordinate plane, a rectangle has points (2, 2), (2, 5), (negative 5, 2), and (negative 5, 5).

Then the base of the rectangle will be

D² = (2 + 5)² + (2 - 2)²

D² = 7²

D = 7 units

Then the height of the rectangle will be

D² = (2 - 2)² + (5 - 2)²

D² = 3²

D = 3 units

Then the correct option is D.

Learn more about the distance between two points here:

https://brainly.com/question/18296211

#SPJ1

Answer:

A. The base is 5 units and the height is 3 units.

Step-by-step explanation:

dont listen to the person above

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

To know more about decimal check the below link:

https://brainly.com/question/703656

#SPJ1

Answer:

vendor sold 90 sodas and 45 hot dogs

Step-by-step explanation:

Let x = number of sodas sold

Let y = number of hot dogs sold

We have x = 2y (1)
( The number of sodas sold was two times the number of hot dogs sold)

We also have x + y = 135 (2)

( sold a combined total of 135 sodas and hot dogs.)

Substituting x = 2y we get

2y + y = 135

3y = 135

y = 135/3

y = 45

Therefore x = 135 - 45

x = 90

Therefore vendor sold 90 sodas and 45 hot dogs

Answer:

x = 2 or –6

Step-by-step explanation:

x² + 4x –12 = 0

x² +6x –2x –12 = 0

x(x + 6) –2( x + 6) = 0

(x–2)(x+6)= 0

x–2= 0

x= 2.

x+6= 0

x= –6

x = 2 or –6

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

For more details regarding triangle, visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

4

Step-by-step explanation:

Set the height of the missing bar to 4 as there are 4 quantities between 21-25.

The number of gumballs Tito's sister started with is 10.

Tito had four times as many gumballs as his sister. He gave his sister 15 gumballs, and now they have the same number of gumballs.

The number of gumballs Tito's sister start with can be calculated as follows:

using equation,

let

his sister gumballs = x

Therefore,

Tito's gumballs = 4x

He gave his sister 15 gumballs and they have the same gumballs.

Hence,

4x - 15 = x + 15

4x - x = 15 + 15

3x = 30

divide both sides by 3

x = 30 / 3

x = 10

Therefore,

number of Tito sister's gumballs = 10

learn more on equation here: https://brainly.com/question/19640891

#SPJ1

Answer:

It will take 9.6 minutes to travel 24 cm.

Step-by-step explanation:

(;;;

Answer:

9.6 minutes.

Step-by-step explanation:

First we need to find how many minutes it takes the snail to travel 1 cm.

to do this we need to divide the time it takes by the distance traveled.

4 ÷ 10 = 0.4. So, the snail takes 0.4 minutes to travel 1 cm.

Next we need to find how long it takes to travel 24 cm.

to do do that we need to multiply how long it takes the snail to travel 1 cm by the number of cm it needs to travel.

0.4 x 24 = 9.6. So, it takes the snail 9.6 minutes to travel 24 cm.

Answer:

Below

Step-by-step explanation:

The following are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F.    F is equidistant from the three sides of the triangle.

The following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ. It has three connected vertices.

The circumcenter of a triangle is measured from the point at which the perpendicular bisectors of its sides cross.

The incenter of a triangle is the point at which the triangle's three internal angle bisectors meet.

Thus, the following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Answer:

number of cubes contained in one cup : 12 cubes

number of cubes needed in 8 such cups : 12 * 8 cubes = 96 cubes!

.

.

.

\({\bold{\red{HOPE\:IT\:HELPS!}}}\)

\(\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}\)

The smallest number of students who go to one of these clubs is 21.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."

Therefore, the smallest number of students who go to one of these clubs is 21.

To learn more about the stem-and-leaf diagram click here:

https://brainly.com/question/8450114

#SPJ1

The value of the equation that defines the function is f(x) = 3(5/3)ˣ

From the question, we have the following parameters that can be used in our computation:

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Answer: 2

2.5 and up we round up

2.4 and lower we round down

Answer:

2

Step-by-step explanation:

2 4/10

4/10 is less than 0.5 so we round down to 2

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

to know more about Olympic

brainly.com/question/29376067

#SPJ1