Randy is thinking of a number. When he adds 7 to the number, multiplies the sum by 3, then subtracts 2, the result is 13. What is the original number?
A. 6
B. -2
C. 2
D. -6

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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Answer:

no but they can change in speed

Answer:

it depends

Step-by-step explanation

when there is a force its moving from some kind of energy ex: gravity

so when its faced with different energy it could change in position

Stokes' Theorem states that the line integral of a vector field F along a closed curve C is equal to the surface integral of the curl of F over the surface S bounded by C.

To evaluate the line integral C F.dr using Stokes' Theorem, we can first calculate the curl of the vector field F. Then, we find the surface that is bounded by the given curve C, which is a triangle in this case. Finally, we evaluate the surface integral of the curl of F over that surface to obtain the result.

Stokes' Theorem states that the line integral of a vector field F along a closed curve C is equal to the surface integral of the curl of F over the surface S bounded by C. In this problem, we are given the vector field F(x,y,z) = (x+y^2)i + (y+z^2)j + (z+x^2)k and the curve C, which is a triangle with vertices (1,0,0), (0,1,0), and (0,0,1).

To apply Stokes' Theorem, we first need to calculate the curl of F. The curl of F is given by the determinant of the curl operator applied to F: ∇ × F = ( ∂F₃/∂y - ∂F₂/∂z )i + ( ∂F₁/∂z - ∂F₃/∂x )j + ( ∂F₂/∂x - ∂F₁/∂y )k.

After finding the curl of F, we need to determine the surface S bounded by the curve C. In this case, the curve C is a triangle, so the surface S is the triangular region on the plane containing the triangle.

Finally, we evaluate the surface integral of the curl of F over S. This involves integrating the dot product of the curl of F and the outward-pointing normal vector to the surface S over the region of S.

By following these steps, we can use Stokes' Theorem to calculate the integral C F.dr for the given vector field F and curve C.

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The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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Answer:

the positive integers or whole numbers include 1, 2, 3, and etc. sometimes zero.

Whole numbers are 0, 1, 2, 3, 4, 5, 6. Whole numbers include positive integers along with 0.

17, 99, 267, 8107 and 999999999 are examples of whole numbers.

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333

A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number.

Example: π is an irrational number.

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2.

Included within the irrationals are the transcendental numbers, such as π

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

\(AB : BE = DC :CE\)

This is so because triangles ABE and DCE are similar triangles.

Such that:

\(BE + CE = 20\)

\(AB = 16\)

\(DC = 16 + 9 = 25\)

So, we have:

\(AB : BE = DC :CE\)

\(16 : BE = 25: CE\)

Make CE the subject in \(BE + CE = 20\)

\(CE=20 - BE\)

Substitute 20 - BE for CE in \(16 : BE = 25: CE\)

\(16 : BE = 25: 20 - BE\)

Express as ratio

\(\frac{16 }{ BE} = \frac{25}{ 20 - BE}\)

Cross multiply

\(16(20 - BE) = 25BE\)

Open bracket

\(320 - 16BE = 25BE\)

Collect like terms

\(25BE + 16BE = 320\)

\(41BE = 320\)

Divide both sides by 41

\(BE = 7.8\)

Hence, she should aim at 7.8 feet away from point  B

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Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.

Step-by-step explanation:

Answer:

n-21

Step-by-step explanation:

n is the unknown value which you subtract 21 from to get your answer

The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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Answer:

60

Step-by-step explanation:

Since the angles are shown equal in the diagram, ABD=DBC=60

The situation that describes a similar but not congruent triangle is a dilation, as the side lengths are different but the angle measures are constant.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The definitions for similar and congruent triangles are given as follows:

For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.

The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.

This problem is incomplete, hence a simple example was given of a case in which triangles are similar but not congruent.

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Answer:

3. 26 problems left

4. $69.20

Step-by-step explanation:

1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.

0.4 x 65 = 26

2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.

49.95 + 19.25 = 69.20

Hope this helps <3

To calculate the probability that the average lifetime of 500 randomly selected electronic components falls between 5990 hours and 6010 hours, assumptions such as the normality of the distribution, independence of lifetimes, and random sampling need to be met before applying statistical theory and computations.

Before computing the probability, we need to make some assumptions and use statistical theory. Here are the questions that need to be answered:

Is the distribution of the lifetime of the electronic component approximately normal?

Are the lifetimes of the 500 components independent of each other?

Are the components in the sample randomly selected from the population?

If the assumptions are met, we can proceed to compute the probability using the properties of the normal distribution and the Central Limit Theorem.

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The value of the inequality u - 9.7 < -8.8 is u < 0.9.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Here, the inequality is given as:

u - 9.7 < -8.8

Collect like terms

u < -8.8 + 9.7

u < 0.9

The value is u < 0.9.

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer: are you in the algerbra in flvs ? lol just wondering

Step-by-step explanation:

it would be the last option or

(40, 70, 70, 80, 80, 95, 95, 100)

have a great day :)

The following data sets are represented in the box plot

(40, 70, 70, 80, 80, 95, 95, 100)

We have given that,

the class scores on a particular math test box plot with a number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum

A boxplot is a graph that gives you a good indication of how the values in the data are spread out.

The following data sets are represented in the box plot

(40, 70, 70, 80, 80, 95, 95, 100).

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In a perfect square trinomial, two of your terms will be perfect squares. If you do not have two perfect square terms, then this trinomial is not a perfect square trinomial.

The general shape of a really perfect rectangular trinomial is (x + y)^2, in which x and y are the roots of the trinomial. to check if a trinomial is perfectly rectangular, we will try to the component it into the rectangular binomial. We also can whole the square technique, which involves adding and subtracting the rectangular of 1/2 of the x-coefficient of the linear time period after which grouping the resulting phrases.

It's far essential to note that for a trinomial to be a super rectangular trinomial, the regular time period has to be a square of an integer and the linear time period should be an excellent variety.

Perfect rectangular trinomials are used in fixing quadratic equations and expertise their solutions, they also have programs in algebra, geometry, and trigonometry. Factoring them is an essential talent in algebra and is utilized in solving exceptional types of mathematical troubles.

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The average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

What is Calories?
Calories are a measure of energy. Two main definitions of "calorie" are frequently used due to historical factors. The amount of heat required to increase the temperature of one kilogramme of water by one degree Celsius was the original definition of the large calorie, food calorie, as well as kilogramme calorie (or one kelvin). The amount of heat required to produce the same increase in one gramme of water was known as the small calorie or gramme calorie. As a result, 1000 small calories are equal to 1 large calorie.

How many calories do basketball players burn?

Calories expended per minute equal (MET x body weight in kg x 3.5) / 200

Hence, the average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

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The percent change in the price is 4%.

The new price is $228.8.

To determine the percent change in the price of Software A, we can simply multiply the original price by the percentage increase.

Percent change = 4%

Original price = $220

Percent increase = 4% = 4/100 = 0.04

New price = Original price + (Percent increase * Original price)

New price = $220 + (0.04 * $220)

= $220 + $8.8

= $228.8

Therefore, for Software A:

The percent change in the price is 4%.

We can multiply the original price ($220) by 1.04 to determine the new price.

The new price is $228.8.

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Answer:

I believe it is a 25% increase

Answer:

11.1111% increase fee for an accounting course,

5.55555% per each semester.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Answer:

C.    Student C, who is paid $290 for 20 hours of work

Step-by-step explanation:

What we know:

    - Student A ( 164.50 = 14 hours )

    - Student B ( 162.00 = 12 hours

    - Student C ( 14.50h = p )

What we need to figure out:

    - How much each person makes per hour ( Pt.1 )

    - Who will make the most in 20 hours ( Pt.2 )

How to execute:

    - Divide for A & B

    - Convert for C

    - Multiply for all

Step 1: Divide the total pay by the hours for A & B

Student A:   164.50 ÷ 14 = 11.75 per hour ( Found PT.1 )

Student B:    162.00 ÷ 12 = 13.50 per hour ( Found PT.1 )

Step 2: Convert C so that it looks like A & B

Student C:    14.5(h) = p  --->   p ÷ h =   14.5 per hour ( Found PT.1 )

Step 3: Multiply the hourly rate by the 20 hours

Student A:   11.75 × 20 = 235 for 20 hours      ( Found PT.2 )

Student B:   13.50 × 20 = 270 for 20 hours     ( Found PT.2 )

Student C:   14.50 × 20 = 290 for 20 hours     ( Found PT.2 )

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I saw the comment about not being able to mark the other person brainliest because no one else answered. I'm here to fix that. Also, the answer is C.

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

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The number of hours in a week a student played basketball is \(11\frac{3}{8}\).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, One week a student exercised 3 hours at school and another 1/4 of an hour at home.

Also given that 1/4 of the exercise of a student came from playing basketball.

Therefore, Time playing basketball is one-fourth of the total time exercised which is,

= (3 + 1/4)×(1/4).

= (13/4)×(1/4).

= (13/8).

Therefore, In a week the student played (13/8)×7.

= 91/8.

= \(11\frac{3}{8}\).

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Answer:

Step-by-step explanation:

a² + b² = c²

2w² = (6√2)²

w² = 6²

w = 6

Two variables are said to be positively associated when both the variables increase simultaneously. Two variables are said to be negatively associated when with the increase in one variable, the other decreases.

When we say that two variables are positively associated, it means that as one variable increases, the other variable also tends to increase. In other words, there is a direct variation between the two variables. For example, if we look at the relationship between height and weight, we would expect to see a positive association because taller people generally weigh more than shorter people.

On the other hand, when we say that two variables are negatively associated, it means that as one variable increases, the other variable tends to decrease. In other words, there is a inverse variation between the two variables. For example, if we look at the mathematical variation between studying and test scores, we would expect to see a negative association because the more someone studies, the lower their test anxiety and the better they are likely to perform on the test.

Understanding whether two variables are positively or negatively associated is important in many areas, including social sciences, healthcare, and business. By identifying these associations, we can better predict outcomes and make informed decisions based on data.

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The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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The first graph depicts the action potential found in cells that initiate and conduct impulses, also known as pacemaker cells.

These cells have an unstable resting membrane potential that gradually depolarizes until it reaches the threshold for firing an action potential. This results in a gradual increase in voltage known as the pacemaker potential or prepotential.

Once the threshold is reached, the cell fires an action potential characterized by a rapid depolarization phase, followed by a brief repolarization and a slow depolarization phase before returning to its resting state.

This pattern of depolarization and repolarization allows pacemaker cells to generate and conduct electrical impulses throughout the heart, initiating and coordinating the contraction of cardiac muscle cells.

The second graph depicts the action potential found in cardiac muscle cells responsible for mechanical pumping, also known as contractile cells. These cells have a stable resting membrane potential that remains constant until depolarized by an action potential from a pacemaker cell.

Once depolarized, contractile cells rapidly depolarize and reach a peak voltage, followed by a prolonged plateau phase that maintains the cell in a depolarized state, allowing for sustained contraction of the cell.

Finally, the cell undergoes a repolarization phase, returning to its resting membrane potential and allowing for relaxation. This pattern of depolarization, plateau, and repolarization allows contractile cells to contract and relax in a coordinated manner, effectively pumping blood through the heart.

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Answer: B.

Step-by-step explanation: 550 bass

According to question the answer is , g(3) = -12.

To find g(3), we use the recursive formula g(n) = g(n-2) * g(n-1):

g(3) = g(1) * g(2)

g(3) = 4 * (-3)

g(3) = -12

what is recursive formula ?

A recursive formula is a mathematical formula that defines a sequence of numbers in terms of one or more of the preceding terms in the sequence. It is a way of defining a sequence by starting with one or more initial terms and then defining each subsequent term as a function of the previous terms. In other words, each term in the sequence is defined in terms of the preceding terms. Recursive formulas are commonly used in computer science, mathematics, and other fields to define and generate sequences of numbers or other values.

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Answer:

ok did you really just say brain fart I'm dying I cant stop laughing