8 + 11x
12x + 1
What’s the value of X?

Answer:

This would not form a triangle

Step-by-step explanation:

due to the triangle inequality theorem, in order to find out if three numbers can form a triangle, you have to have each pair of numbers add up to more than the remaining number. The first combination added is 5+10 which is 15, and that is not greater than 17, so the answer is no, this is not a triangle.

hope this helps! :3

Answer:

47.21

Step-by-step explanation:

a=47.4

b=0.19

a – b

47.4 – 0.19

=47.21

Therefore, the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx cannot be expressed in terms of elementary functions.

To evaluate the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx, we can simplify each term and then integrate term by term.

Let's start by simplifying each term:

∫ 3cos(8x) dx - ∫ 2sin(4x) dx + ∫ 2sec(tan(x)) dx

To integrate each term, we can use standard integration formulas:

∫ cos(ax) dx = (1/a) sin(ax) + C

∫ sin(ax) dx = -(1/a) cos(ax) + C

∫ sec²(u) du = tan(u) + C

Applying these formulas, we have:

(3/8) ∫ cos(8x) dx - (2/4) ∫ sin(4x) dx + 2 ∫ sec(tan(x)) dx

= (3/8) (1/8) sin(8x) - (1/2) (-1/4) cos(4x) + 2 ∫ sec(tan(x)) dx

= (3/64) sin(8x) + (1/8) cos(4x) + 2 ∫ sec(tan(x)) dx

Now, we need to evaluate the integral of sec(tan(x)) dx. This integral does not have a simple closed-form expression, so we cannot integrate it directly. It is often denoted as "non-elementary" or "special" integral.

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Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

Answer:

In general, when y = f(x), you are substituting a permissible x value into function f & its calculated 'output' is the value for y. Then (x,y) is an ordered pair, i.e. coordinates of a point on the graph. ... So our ordered pair is (-14,11).

Answer: 11= y and 14=x

Step-by-step explanation: The x coordinate is 14 and the y coordinate is 11.

Answer:

20/4 = 5ml

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

The surface area for a sphere is 4 pi * r^2

Givens

Surface Area X = 1808.64

Surface Area T = 452.16

Solution

Sphere X

Surface Area = 4 pi r^2

Surface Area X = 4 * 3.14

1808.64 = 12.56 * r^2                          Divide both sides by 12.56

1808.64/12.56 = 12.56 r^2/12.56

r^2 = 144                                              Take the square root of both sides

√^2  = √144

r = 12

Sphere T

Surface Area = 4 pi r^2

452.16  = 12.56 r^2                              Divide by 12.56

452.16 / 12.56 = 12.56 r^2/12.56

r^2 = 36                                                Take √ of both sides

√r^2 = √36

r = 6

Conclusion

radius x: radius T :: 12/6

radius x: radius T :: 2/1    

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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(a) The probability of rolling a 7 is zero for both dice since the 6-sided die has numbers from 1 to 6 and the 8-sided die has numbers from 1 to 8. b) The overall probability of rolling a 4 is 7/96.

(a) The probability of rolling a 7 is zero for both dice since the 6-sided die has numbers from 1 to 6 and the 8-sided die has numbers from 1 to 8.

(b) The probability of rolling a 4 for the 6-sided die is 1/6, and the probability of rolling a 4 for the 8-sided die is 1/8. Since you are three times more likely to pick up the 6-sided die, the overall probability of rolling a 4 is:

(3/4) * (1/6) + (1/4) * (1/8) = 1/16 + 3/192 = 7/96

(c) Let A be the event that you picked up the 6-sided die, and let B be the event that you rolled a 4. Then we want to find the probability of A given B, or P(A|B). By Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of rolling a 4 given that you have the 6-sided die, which is 1/6. P(A) is the probability of picking up the 6-sided die, which is 3/4. To find P(B), we use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

P(B|not A) is the probability of rolling a 4 given that you have the 8-sided die, which is 1/8. P(not A) is the probability of not picking up the 6-sided die, which is 1/4. Therefore,

P(B) = (1/6)(3/4) + (1/8)(1/4) = 11/32

Putting it all together, we get:

P(A|B) = (1/6)*(3/4)/(11/32) = 3/11

Therefore, the probability of having picked up the 6-sided die given that you rolled a 4 is 3/11.

(d) Picking up the 6-sided die and rolling a 7 are independent events because the outcome of one event does not affect the outcome of the other. However, since it is impossible to roll a 7 with either die, the probability of rolling a 7 given that you picked up either die is zero.

(e) Let's first find the probability of rolling a 1 at least once in two rolls of the 6-sided die. The probability of not rolling a 1 on a single roll is 5/6, so the probability of not rolling a 1 on either roll is (5/6)*(5/6) = 25/36. Therefore, the probability of rolling a 1 at least once is:

1 - 25/36 = 11/36

Now let's find the probability of rolling the same number twice on two rolls of the 6-sided die. There are six possible outcomes for the first roll, and for each outcome, there is a 1/6 probability of rolling the same number again on the second roll. Therefore, the probability of rolling the same number twice is:

6 * (1/6)*(1/6) = 1/6

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For a student who participate in a wide variety of extra-curricular memorial high school, the probability of the union of being either a freshman or senior is equals to the 0.50.

We have students who attend memorial high school have a wide variety of extra-curricular activities.

Probability of student who likely to join the dance team = 38% = 0.38

Probability of student who likely to participate in the school play = 18% = 0.18

Probability of students who likely to join the yearbook club = 42% = 0.42

Probability of students who likely to join the marching band = 64% = 0.64

Also, students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

So, the probability ( a student is senior )

= 1/4 = 0.25

The probability ( a student is freshman )

= 1/4 = 0.25

We have to determine the union of being either a freshman or senior. Now, the probability of the union of disjoint or independent events is the sum of their individual probabilities.

So, probability ( a student is freshman or senior) = P( freshman ∪ senior )

= P( freshman) + P( senior)

= 0.25 + 0.25 = 0.50

Hence, required probability is 0.50.

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Draw line segment PQ with length 7 cm. Then, mark a point R such that PR = 2.5 cm. Then, Draw line segment RS such that RS = PQ.

Steps to draw using a compass:

1. Place the point of the compass at point P and open it to a distance of 2.5 cm (PR).

2. Mark an arc on either side of P with the same radius.

3. Place the point of the compass at the intersection of the two arcs and open it to 7 cm (PQ).

4. Mark an arc on either side of P.

5. The intersection of the two arcs is the point R.

6. Connect P and R to form the line segment PR.

7. Connect R and Q to form the line segment PQ.

Therefore, the line segment PQ of length 7 cm with a point R such that PR = 2.5 cm has been drawn using a compass.

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Answer:

D

Step-by-step explanation:

A system of linear equations has infinite solutions when the graphs are the exact same line.

Therefore, the answer is D

Answer: 99,113,91,104,109,114,97

Step-by-step explanation:

Got 100% on the quiz :)

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2021 (do not get this confused with the question: "which set contains no outliers" hope this helps, please mark me brainliest if it does

Answer:

a = 3

b = 2

Step-by-step explanation:

Solve 4a - b = 10 for b:

Substitute 4a - 10 for b in 2a + 3b = 12

Substitute 3 for a in b = 4a - 10

Therefore, a = 3 and b = 2.

SOLUTION

y = x^2 - 2x + 1 is a Quadratic equation. And a quadratic equation has two roots.

━━━━━━━☆☆━━━━━━━

▹ Answer

8 - 3q

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

There are 12 possible ways in which the boys can sit together around the table.

Step-by-step explanation:

Given:

There are 2 boys and 3 girls.

There are 5 different chairs around a table.

We need to determine the number of ways the boys can sit together.

Now, let's calculate the number of ways these entities can be arranged around the table.

Step 1: Fix the position of the boys.

Since the two boys want to sit together, we can treat them as a single entity. So, we fix the position of this entity as one unit.

So, we'll have 4 entities in total

{BB, G, G, G},

where, 'BB' represents the two boys together, and 'G' represents each girl.

Step 2: Arrange the remaining entities.

We know that ,

Number of ways in which "n" members can sit around a round table is (n-1)!

So these entities can be arranged in (4 - 1)! = 3! = 6 ways around the table.

Step 3: Account for the arrangements within the boys' entity.

Within the entity 'BB' (the two boys), they can arrange themselves in 2! = 2 ways.

Step 4: Calculate the total number of arrangements.
We know that,  As per fundamental principle of counting ,

If a first job can be done in m ways and a second job can be done in n ways then the total number of ways in which both the jobs can be done in succession is m x n

Hence we get,

Total arrangements = (Number of arrangements of entities) * (Number of arrangements within the boys' entity)

Total arrangements = 6 * 2 = 12

Therefore, there are 12 possible ways in which the boys can sit together around the table.

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The number of possible ways they can be seated is 48.

Given that, two boys and three girls are going to sit around a table with 5 different chairs.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

ⁿPr= n!/(n-r)!

⁵P₂=5!/(5-2)!

3 girls can themselves be arranged in 3! ways.

2 boys can themselves be arranged in 2! ways.

Taking boys and girls as two units can be arranged in 2! ways.

Total number of ways of such arrangements=3!×2!×2!×2!

=6×2×2×2=48 ways.

Therefore, the number of possible ways they can be seated is 48.

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The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Answer:

c=k+11

Step-by-step explanation:

Answer:

2z-1 it think. jdjdjdjdjdjjdjd

Answer:

y= 3/2x-3

Step-by-step explanation:

m= y2-y1/x2-x1

m= -6-(-9)/-4-(-2)

m= 3/2

y= mx+b

y= 3/2x+b

-9=3/2*-6+b

ANSWER

Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

EXPLANATION

Given:

Rectangle with length = 12 and breadth = 7.

Semi-Circle with diameter = 4

Desired Outcome:

The area of the shaded region.

Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.

Determine the Area of a semi-circle

Area of a semi-circle is half of the area of a circle

Area of the Rectangle

Determine the area of the shaded figure

Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

Answer:

Step-by-step explanation:

The amounts invested and saved are independent and their total is the combined amount.

Correct choice is A

Lets see

Add both

Answer:

A positive slope goes up and to the right

A negative slope goes down and to the right

A slope of zero creates a flat line

Step-by-step explanation:

A positive slope goes up and to the right, because that means the graph is increasing.

A negative slope goes down and to the right, because that means the graph is decreasing.

A slope of zero creates a flat line, such as a horizontal line that never increases in the y value.

Answer:

B

B

A

B

D

C

Step-by-step explanation:

5. B

65 = teachers

15 = principal

65/80 = 81.25

If there's is a total of 900 people, find 81.25 (number of teachers)

=731.25

=731

6. B

The best graphical representation for the teacher's data would be a histogram. A histogram is a graph that displays the distribution of continuous data, such as the number of students who prefer a particular subject. It shows the frequency of each interval, or bin, of values.

A stem-and-leaf plot is typically used for small datasets and displays each data point. A circle graph, also known as a pie chart, is used to show how different parts make up a whole and is not appropriate for showing the distribution of preferences among the students. A box plot, also known as a box-and-whisker plot, is used to display the distribution of data, but it may not be as useful for showing the specific frequencies of each preference as a histogram would be.

7) A

There's an image for it I attached

8) B

The correct circle graph that represents the data in the table is option B) circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent.

In the given table, the number of visitors for each type of transportation is given. To create a circle graph, we need to convert the given numbers to percentages. Then, we can use these percentages to determine the angle of each section in the circle graph.

Using the given numbers, we can calculate the percentage of visitors for each transportation type as follows:

Walk: (120/300) x 100 = 40%

Bicycle: (24/300) x 100 = 8%

Car Service: (45/300) x 100 = 15%

Bus: (30/300) x 100 = 10%

Subway: (81/300) x 100 = 27%

Option B) correctly represents these percentages in a circle graph.

9) D

The best prediction about the scoops of ice cream the college will need is option D) The college will have about 1,440 students who prefer ice cream.

To make this prediction, we need to use the information given in the table and assume that the entire student body has the same preferences as the sample of 225 students.

According to the table, 81 out of 225 students prefer ice cream.

To estimate the number of students who prefer ice cream in the entire student body of 4,000 students, we can use proportions.

81/225 = x/4000

Multiplying both sides by 4000, we get:x = 81/225 x 4000 = 1,440

Therefore, the college will have about 1,440 students who prefer ice cream, and they will need to prepare that many scoops.

10) C

The drive-thru that typically has more wait time is option C) Super Fast Food, because it has a larger median.

The median is the middle value when a set of data is arranged in order. In this case, the median wait time for Super Fast Food is 12 minutes, and the median wait time for Burger Quick is 15.5 minutes.

This means that half of the customers at Super Fast Food waited less than 12 minutes, while half of the customers at Burger Quick waited less than 15.5 minutes.

Therefore, the wait time at Super Fast Food is typically shorter than at Burger Quick.

The mean, on the other hand, is influenced by outliers or extreme values, and it is not as robust a measure of central tendency as the median. Therefore, we cannot determine which drive-thru typically has more wait time based on the mean alone.

The Volume of sphere is 4 ft³.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

T= 3 feet

r= 2/2

r= 1 feet

Now, we have the formula

V = 4/3 π r³

use π= 3

Now, substituting the values

V = πTr³

V= 4/3 x 3 x 1³

V= 4 ft³.

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When a fair number cube is labeled with the numbers 1-6. After rolling the cube 100 time, an even number will be rolled 50 times. Option C is correct answer.

Fair dice are those that have an equal chance of falling face-up on the table. When all six faces of a conventional 6-sided die have the same probability, the die is said to be "fair."

A fair 6-sided die is usually numbered from 1 through 6 (standard), so you can get any of those numbers on a single roll: 1, 2, 3, 4, 5, or 6.

When a fair number cube is labeled with the numbers 1-6. After rolling the cube 100 times:

6 will appear at least once.

All the numbers cannot be odd.

And 7 is impossible to occur.

Thus, the most likely outcome is an even number will be rolled 50 times.

Hence, when a fair number cube is labeled with the numbers 1-6. After rolling the cube 100 time, an even number will be rolled 50 times. Option C is correct answer.

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The complete question is: