ASAP!! ITS URGENT!

The base of a triangular pyramid forms a right triangle. The legs of the triangle are 3 cm and 8 cm. If the altitude of the pyramid is 15 cm, what is the volume of the pyramid?

(a*) The relation defined as a∼b if there is a book that both students have borrowed is likely to be an equivalence relation.

(b*) The relation defined as a∼b if both students have borrowed exactly the same books is also likely to be an equivalence relation.

(a*) Reflexivity: For any student a, there will be a book that they have borrowed (themselves), so the relation is reflexive.

Symmetry: If student a has borrowed a book that student b has borrowed, then student b also has borrowed that book. Hence, the relation is symmetric.

Transitivity: If student a has borrowed a book that student b has borrowed, and student b has borrowed a book that student c has borrowed, then it implies that student a has borrowed a book that student c has borrowed. Therefore, the relation is transitive.

(b*) Reflexivity: Each student has borrowed the exact same books as themselves, so the relation is reflexive.

Symmetry: If student a has borrowed exactly the same books as student b, then it implies that student b has borrowed exactly the same books as student a. Hence, the relation is symmetric.

Transitivity: If student a has borrowed exactly the same books as student b, and student b has borrowed exactly the same books as student c, then it follows that student a has borrowed exactly the same books as student c. Therefore, the relation is transitive.

Learn more about Transitivity here:

https://brainly.com/question/18089035

#SPJ11

Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount is $ 318 and $ 625.5.

The proportion of value in relation to the original value is measured using the percentage discount concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage.

Let x be the actual cost of the dress in the store. A

20/100 ×x = 79.50 x = 79.50 ×100/20 xx = 7950/20

x = $ 397.5

The actual cost of clothing A is $397.5.

Discount of outfit A therefore equals 20%

$397.5-79.5$= $ 318

Let x represent the true cost of dress B.

(10/100)× x = 69.50$

x = $695

The actual cost of dress B is $695.

So, the dress B's discount is 10%.

$ 695 - 69.50 = $ 625.5

To learn more about discount refer the link:

https://brainly.com/question/1931096

#SPJ9

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Using the recursive rule and a₁ = 1 , then

a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5

a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17

a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53

a₅ = 3a₄ + 2 = 3(53) + 2 = 159 + 2 = 161

The first 5 terms are 1, 5, 17, 53, 161

1, 1, 1, 1, 1 are the first 5 terms of the given sequence.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can find the first few terms of the sequence using the recursive formula:

a₁ = 1

aₙ = 3aₙ₋₁ + 2 for n ≥ 2

Using this formula, we can find the second term:

a₂ = 3a₁ - 2 = 3(1) - 2 = 1

We can then find the third term:

a₃ = 3a₂ - 2 = 3(1) - 2 = 1

Continuing this pattern, we find:

a₄ = 3a₃ - 2 = 3(1) - 2 = 1

a₅ = 3a₄ - 2 = 3(1) - 2 = 1

So the first five terms of the sequence are:

1, 1, 1, 1, 1

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ2

10 would be 50% so 1 is 5% 5x8 =40

Her experimental probability is 40%

The sampling method described below appears to be flawed because it is a voluntary response sample.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting is various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population.

Voluntary response sample: The researcher asks members of a population to participate; participants can choose whether or not to participate.

Learn more about Sampling methods:

https://brainly.com/question/24466382

#SPJ4

\(\sf \longmapsto4x-15=3\)

\(\sf \longmapsto4x = 3 + 15\)

\(\sf \longmapsto4x = 18\)

\(\sf \longmapsto{x }= \frac{18}{4}\)

\(\sf \longmapsto x = 4.5\)

Answer:

\(x=\cfrac{9}{2}\;\; or \;\;4.5\)

Step-by-step explanation:

\(4x-15=3\)

\(4x-15+15=3+15\) Add 15

\(4x=18\)

\(\cfrac{4x}{4}=\cfrac{18}{4}\) Divide by 4

\(x=\cfrac{9}{2}\)

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

More can be learned about scale measurements at https://brainly.com/question/29229124

#SPJ1

Answer:b

Step-by-step explanation:

the answer is the second one

Answer:

Second graph

Step-by-step explanation:

First, solve the inequality:

Find the graph the matches the solution:

I hope this helps!

Answer:

11x-5

Step-by-step explanation:

Answer:

hahahahahahahahahahahhahahahahahhahahahahahahahahhahahahahahahahahahahhahahahahahahahahhahahahahahahahahhahahwhwhwhwhwhwhahahahahhahahahhahahahahahahahahhahahahahahahahahahahahahahahhahahahahahahahahahahahahahhahahahahahahahahahahhahahahahahhahahahahahahahahahhahahahahahahahhahahahahahahahhahahahahahahahhahahahahhahahahahahah

Answer:

Answer: D- 37.45

Step-by-step explanation:

I got the answer right, but if you want the math: you find the z-score of 1.75 on the chart, multiply that by the standard deviation to get 9.45, and then add the mean of 28 to get 37.45 minutes

the time that represents the fastest 4% of runners is approximately 18.55 minutes. Therefore, the correct option is: A. 18.55 minutes.

To find the time that represents the fastest 4% of runners, we need to use the standard normal distribution (z-distribution) and the z-table.

Step 1: Find the z-score corresponding to the 4th percentile (since we want the fastest 4% of runners). To do this, we use the z-table and find the z-value that corresponds to an area of 0.04 (4% in decimal form).

Step 2: Once we have the z-score, we can use it to find the corresponding time by using the formula for standardizing a normal distribution:

z = (x - mean) / standard deviation

where "x" is the time we want to find, "mean" is the mean time (28 minutes), and "standard deviation" is the standard deviation of the times (5.4 minutes).

Step 1: Finding the z-score:

Using the z-table or a calculator, the z-score corresponding to the 4th percentile is approximately -1.75.

Step 2: Finding the time (x):

Now, we can use the z-score to find the time (x):

-1.75 = (x - 28) / 5.4

To find "x," we isolate it on one side of the equation:

x - 28 = -1.75 * 5.4

x - 28 = -9.45

x = -9.45 + 28

x = 18.55

So, the time that represents the fastest 4% of runners is approximately 18.55 minutes. Therefore, the correct option is: 18.55 minutes.

To know more about time:

https://brainly.com/question/34151773

#SPJ3

The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ1

The Answer is 19 just use a calculator at this point lol

Answer:

21

Step-by-step explanation:

jk its 19. but if ykyk

Answer:

it's 25

nwhhehshhjeheb

the answer is 25 just do 5 plus 5 plus 5 plus 5 plus 5

Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Step-by-step explanation:

The percentage of the body affected by the disease is a function of the number of days:  

This percentage is a dependent variable and the number of days is the independent variable.

If we give values to d, we can calculate the percentage of the body affected by the disease.

P(1)= 6·1 + 5 = 11%

P(2)= 6·2 + 5 = 17%

P(3)= 6·3 + 5 = 23%

P(4)= 6·4 + 5 = 29%

P(5)= 6·5 + 5 = 35%

P(6)= 6·6 + 5 = 41%

P(7)= 6·7 + 5 = 47%

P(8)= 6·8 + 5 = 53%

Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.

Starting immediately, the treatment will be stage 1: less than 15%

Starting on day 2 or 3, the treatment will be stage 2: 15-25%

After day 3, the treatment will be stage 3: 25-50%

After day 8, there is no cure: more than 50% of the body is affected by the disease.

I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Answer:

Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP

Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.

∴ AP=BP

In right ΔAPO we have

OA  

2

=AP  

2

+OP  

2

⇒25−9=AP  

2

⇒AP  

2

=16⇒AP=4

Now AB=2,AP=2×4=8[∵AP=PB]

hence the length of the chord of the larger circle which touches the smaller circle is 8cm.

Step-by-step explanation:

The trend line is linear and the trend line has an equation of y = 500/9x  + 100

From the graph, we can see that:

The points appear to be on a straight line and it increases along the x-axis

This means that the points can appear on an approximate straight line

So, we can conclude that the trend is a linear trend

On the line, we have the following points

(x, y) = (0, 100) and (9, 600)

We start by calculating the slope of the points using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (600 - 100)/(9 - 0)

Evaluate

Slope = 500/9

The equation is then calculated as

y = Slope(x - x₁) + y₁

Where

(x₁, y₁) = (0, 100) and Slope = 500/9

So, we have

y = 500/9 * (x - 0) + 100

Evaluate

y = 500/9x  + 100

Hence, the equation is y = 500/9x  + 100

Read more about trend lines at

https://brainly.com/question/22601112

#SPJ1

The height of its triangular face is 7.5 millimeters.

As per the given data:

A triangular prism is 6.9 millimeters long.

l = 6.9 millimeters

A triangular face with a base of 15 millimeters.

b = 15 millimeters

The volume of the prism is 388.125 cubic millimeters.

V = 388.125 cubic millimeters

Here we have to determine the height of its triangular face.

h = ?

A polyhedron with two triangular bases and three rectangular sides is referred to as a triangular prism. It is a three-dimensional shape with three connected side faces and two connected base faces.

The formula for the volume of the triangular prism is:

V = \($\frac{1}{2}\) × ( l × b × h)

388.125 = 0.5 × ( 6.9 × 15 × h)

388.125 = 51.75 × h

h = \($\frac{388.125}{51.75}\)

h = 7.5 millimeters.

Therefore height is 7.5 millimeters.

For more questions on triangular prism

https://brainly.com/question/16755373

#SPJ4

we're estimating, we can round down to the nearest whole number to get an answer of 50. This means Cody can make approximately 50 bags of 4 44 cherries with the cherries she has left.

To estimate the number of bags of 4 44 cherries that Cody can make, we first need to calculate how many cherries she has left after eating 19 1919 cherries on Tuesday.

The number of cherries left will be:

41 4141 - 19 1919 = 22 2222 cherries.

Now, to estimate the number of bags of 4 44 cherries Cody can make, we divide the remaining cherries by 4 44 cherries per bag:

22 2222 ÷ 4 44 ≈ 50.225

Since we're estimating, we can round down to the nearest whole number to get an answer of 50. This means Cody can make approximately 50 bags of 4 44 cherries with the cherries she has left.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

The required inequality is 150m₁ + 180m₂ ≥ 300 + 50

What is an inequality?

A connection in mathematics that compares two integers or other mathematical expressions in an unequal way is known as an inequality. The majority of the time, it is employed to contrast the sizes of two numbers on a number line. There are numerous notations used to represent different sorts of

inequalities:

(i) The symbol a < b indicates that an is smaller than b.

(ii) The symbol a > b indicates that an is bigger than b.

In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed. In contrast to rigorous inequalities, there are two forms of non-strict inequality relations.

The required inequality is 150m₁ + 180m₂ ≥ 300 + 50

To know more about inequalities, click on the link

https://brainly.com/question/27640560

#SPJ10

Answer:

It increased by 25%. Or multiplied by 1.25!

Step-by-step explanation:

The number was increased by 8, and 8 is a quarter of 32. We can prove this to be the answer by increasing 32 by 25%, or multiplying by 1.25 to get 40.

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

To know more about two functions visit:

https://brainly.com/question/19517220

#SPJ11

To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

https://brainly.com/question/33783470

#SPJ12

Let x be the total number of questions on the test; then,

Which is equivalent to

Solve for x as shown below

The answer is 20 questions in total on the test

Every year, 1800 units crossover point. The process focus is less expensive for volumes over 1800.

When all tax credits have been used up by a limited partnership and the limited partners are left with a tax burden, that moment is known as the crossover point.

When both projects have positive values, the crossover point is formed by the intersection of two IRR curves.

The weighted average cost of capital, also known as the crossover rate, is the rate of return at which the net present values (NPV) of two projects are equal.

The rate of return at which the net present value profiles of two projects cross each other is what this term denotes.

So, annual crossover sales are 1800 units.

Process emphasis is less expensive and less important for volumes under 1800 units; repeated manufacturing concentration is less expensive and less important for volumes exceeding 1800 units.

Fixed cost ÷ variable cost

$90000÷50 =$1800

$9,000÷5=$1800

Therefore, every year, 1800 units cross over. The process focus is less expensive for volumes over 1800.

Know more about the crossover point here:

https://brainly.com/question/13845784

#SPJ4

Correct question:

A product is currently made in a process-focused shop, where fixed costs are $9,000 per year and variable costs are $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacturing. The new process would have fixed costs of $90,000, and variable costs of $5. The cross over is at 1800 units annually. for volumes over 1800, the process focus is cheaper.

Answer:

The answer is -285

Step-by-step explanation:

The mode of the given set of grades from the first psychology exam is 71.

The mode is the most frequent value in a given set of data. In the given set of grades from the first psychology exam: 71, 71, 71, 73, 75, 76, 81, 86, 97, 71 appears three times, more than any other number. Hence, the mode of this set is 71.Therefore, the answer is (a) 71.

The mode is the value that appears most frequently in a data set. The mode of the given set of grades from the first psychology exam is 71.

To know more about mode visit:

brainly.com/question/28202264

#SPJ11