How many nails are used for 2 shelves?

I uploaded the answer t\(^{}\)o a file hosting. Here's link:

bit.\(^{}\)ly/3tZxaCQ

Answer:

455

Step-by-step explanation:

13*35

5*13 = 5*10 + 5*3

=50+15 = 65

30*13 = 30*10 + 30*3

300+90 = 390

390 + 65 = 455

The value of x for the intersecting secants is derived to be equal to 10.

The intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.

x(8 + x) = (x + 5)(x + 2)

8x + x² = x² + 2x + 5x + 10 {expansion}

8x + x² = x² + 7x + 10

x² - x² + 8x - 7x = 10 {collect like terms}

x = 10.

Therefore, the value of x for the intersecting secants is derived to be equal to 10.

Read more about intersecting secants here:here:https://brainly.com/question/13950364

#SPJ1

The required number of days when ship leaves for all the three destinations simultaneously is 336 days.

Ship leaves for Buenos Aires every 16 days.

Ship leaves for New York every 12 days

And Ship leaves for Sydney every 14 days

Number of days ships leave for all three destinations simultaneously is represented by Least common multiple.

Least common multiple (LCM) of 16, 12, and 14 are,

Prime factorization of each number is equal to,

16 = 2 × 2 × 2 × 2

12 = 2 × 2 × 3

14 = 2 × 7

LCM = highest power of each prime factor

       = 2 × 2 × 2 × 2 × 3 × 7

       = 336

Therefore, number of days ships leave for all three destinations simultaneously every 336 days.

learn more about days here

brainly.com/question/31013371

#SPJ4

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

Learn more about probability:
https://brainly.com/question/30034780
#SPJ1

For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

Learn more about probability density function here: https://brainly.com/question/31039386

#SPJ11

Answer: x=2

Step-by-step explanation: Because there is only one variable in this equation, it makes a straight line. so to get a line, just do x= blank, but you need a point to go through (2,1), so x-2 is your equation.

Answer:

135 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is the workings

2x+4y+6+2y-5+3x  combine like terms

2x+3x+4y+2y+6-5

Step 2

2x+3x+4y+2y+6-5   Add the similar exponents

5x+4y+2y+6-5

5x+6y+6-5

Step 3

5x+6y+6-5  Add and subtract

Your answer would be 5x+6y+1

Answer:

third

Step-by-step explanation:

Answer:

It would be located in Quadrant Number Three

Step-by-step explanation:

Quadrant 1: Positive Numbers on Y-Axis, Negative Numbers on X-Axis

Quadrant 2: Positive Numbers on both Y and X-axis

Quadrant 3: Negative Numbers on Both Y and X-axis

Quadrant 4: Negative Numbers on Y-Axis, Positive Numbers on X-Axis

(Hope this helped)

The graph that shows a certain cowboy's various possible mixes of output (fences mended per day and cattle herded per day) is called his Production Possibility Frontier (PPF).

A Production Possibility Frontier (PPF) is a graph that depicts the various options for two goods that an economy can produce when all of its available resources are being used efficiently. It illustrates the options for the production of two commodities using all of the economy's resources, assuming that technology is fixed.

A PPF is a curve that represents the maximum output that a country can produce using all of its resources. The slope of the PPF tells you the opportunity cost of producing one commodity in terms of the other. Because the economy has limited resources, it must select among competing alternatives, as shown by the curve's downward slope. Because an economy's resources are scarce, it can't produce everything its citizens want, and thus must make tough decisions about what to create and what to forgo.

PPF exhibits different points at which there is the highest level of output for the two products being produced. If we graph the values of fences mended per day on the X-axis and cattle herded per day on the Y-axis, we'll get a PPF for the cowboy that shows his various possible mixes of output. The slope of the PPF tells you the opportunity cost of producing one commodity in terms of the other.

for such more question on Production Possibility Frontier (PPF)

https://brainly.com/question/13076974

#SPJ11

according to question the answer is approximately 2.37.

Without knowing the base of the logarithm, we cannot directly evaluate the logarithm of the unknown quantity. However, we can use the given information to solve for the unknown quantity as follows:

log(y) = 2.399674

Taking the inverse logarithm of both sides with respect to the same base gives:

y = 10^(log(y)) = 10^(2.399674) = 233.73 (rounded to the nearest hundredth)

log(233.73) = 2.3696 (rounded to the nearest hundredth).

what is logarithm?

A logarithm is a mathematical function that is used to determine how many times a certain number (called the base) must be multiplied by itself in order to produce a given value.

For example, in base 10 logarithms, the logarithm of 100 is 2 because 10 raised to the power of 2 (i.e. 10x10) is equal to 100.

Logarithms can be written in different forms, but the most common notation for a logarithm with base b is:

log_b(x)

This notation represents the power to which the base b must be raised in order to produce the value x.

To learn more about logarithm visit:

brainly.com/question/30085872

#SPJ11

The correct answer is C. Rotation of 90°, as it can carry ABCD onto itself with a point of rotation at (3, 2).

To determine which transformations can carry ABCD onto itself with a point of rotation at (3, 2), we need to consider the properties of the given transformations.

A. Reflection across the line y = 2: This transformation would not carry ABCD onto itself because it reflects the points across a horizontal line, not the point (3, 2).

B. Translation two units down: This transformation would not carry ABCD onto itself because it moves all points in the same direction, not rotating them.

C. Rotation of 90°: This transformation can carry ABCD onto itself with a point of rotation at (3, 2). A 90° rotation around (3, 2) would preserve the shape of ABCD.

D. Reflection across the line x = 3: This transformation would not carry ABCD onto itself because it reflects the points across a vertical line, not the point (3, 2).

Because ABCD may be carried onto itself with a point of rotation at (3, 2), the right response is C. Rotation of 90°.

for such more question on transformations

https://brainly.com/question/24323586

#SPJ8

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

Answer:

3 coaster rides and 2 other rides

8 coaster rides and 1 other ride

Explanation:

We were given that:

Ana goes to the carnival with $30. She wants to ride at least 5 rides.

She wants to ride at least 3 roller coasters

Roller coaster rides cost $3 each

Other rides cost $2 each

We will develop this system of inequalities:

We will proceed to graph this as shown below:

Therefore, the correct option is the graph with the combination:

3 coaster rides and 2 other rides

8 coaster rides and 1 other ride

The cone is needed to be at least 4cm tall so that it contains all the ice cream in it if the ice cream completely melts.

The ice cream scoop is in sphere shape and it is served in a cone. The cone and the sphere both have the same radius of 3 centimeters.

For, the ice cream scoop to fit in the cone completely when in melts,

Volume of sphere of ice cream = volume of cone

Inserting formula,

4/3πR³ = 1/3πR²H

Here,

R is the radius of the cone and scoop and H is the height of the cone.

Putting values and simplifying the expression,

4/3R = 1/3H

Put R = 3cm.

4/3 x 3 = 1/3H

H = 4cm.

So, the height of the cone should be 4cm.

To know more about volume of cone, visit,

https://brainly.com/question/1082469

#SPJ4

Answer:

The function represents the height of the water in the bucket

Step-by-step explanation:

Given

\(f(t) = -t^2 + 4t\)

Required

State what the function represents

From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.

This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)

Answer:

(9,22)

Step-by-step explanation:

1/3 of 9= 3

3+19=22

Sarah, Tony, and Megan are helping their parents plan the layout of the backyard, the correct expression would be: 2\(x^2\) + 12x + 25. The correct option is A.

We must add the areas of the patio, pool, and fire pit in order to obtain the expression that denotes the entire backyard.

The patio's area is as follows given that it is 5 feet long and as wide as the fire pit:

Patio space is calculated as follows: 5 * 5 (5 feet by 5 feet)

The fire pit has dimensions of 6 feet by 2x feet. Therefore, the area of the fire pit is:

Fire pit area = width * length = 6 * (2x) = 12x square feet

Now, we can add the areas together to get the expression for the total backyard area:

Total backyard area = Patio area + Pool area + Fire pit area

Since the dimensions of the pool are not provided, we cannot include it in the expression. Therefore, the correct expression would be:

2\(x^2\) + 12x + 25

Thus, the correct option is a.

For more details regarding area, visit:

https://brainly.com/question/30307509

#SPJ12

\(a(n) = p(1 + i) ^{n - 1} \)

where n is a positive Integer.

Here,

P= Principal

I= interest

N= Duration (positive integer)

Hope this helps ..

Good luck on your assignment...

Answer:

y ≥ 9x - 14

Step-by-step explanation:

Isolate y to one side:

9x - y ≥ 14

Subtract 9x from both sides, and rearrange the order

-y ≥ -9x + 14

Multiply both sides by -1

y ≥ 9x - 14

-Chetan K

The correct answer is option b. -a³b − 8ab² + 7a³b.

To simplify (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab), you can follow these steps;Identify like terms.

Combine like terms according to the subtraction rules.Use the distributive property to simplify.

Combine the like terms you obtained in step 2.

Solution:On simplifying (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab),

we get; (3a³b - 4ab² - 5ab) - (4a³b - 4ab² - 5ab)

= 3a³b - 4ab² - 5ab - 4a³b + 4ab² + 5ab

We can now combine the like terms;

= (3a³b - 4a³b) + (-4ab² + 4ab²) + (-5ab + 5ab)

= -a³b + 0 + 0= -a³b

Therefore, the correct answer is option b. -a³b − 8ab² + 7a³b.

To learn more about : option

https://brainly.com/question/30414310

#SPJ8

Answer:

C) 84 mm squared

Step-by-step explanation:

The formula for finding area of a triangle is 1/2 times base times height, so substitute and solve for the answer

1/2 times 8 times 21

4 times 21

84

Answer:

4g=s

Step-by-step explanation:

4g=s

there are 4 g's for every s as he work for 4 times as many hours at the grocery store.

In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

Learn more about speed here:

https://brainly.com/question/13263542

#SPJ11

Answer:

radicand

Step-by-step explanation:

The table of values for the function \[ f(x)=3 e^{-0.7 x} \] (Rounded to three decimal places.) is mentioned below:

A mathematical function is typically denoted by a symbol, such as f, g, or h, followed by parentheses containing the input or argument of the function. For example, f(x) represents a function f with an input x. The output or value of the function for a given input is denoted as f(x) or y, where y is the result of applying the function to x.

To construct a table of values for the function \( f(x) = 3e^{-0.7x} \), we can substitute different values of \( x \) into the function and evaluate it. Here's the table:

| x | f(x)        |
|---|-------------|
| 0 | 3           |
| 1 | 1.433       |
| 2 | 0.677       |
| 3 | 0.319       |
| 4 | 0.150       |
| 5 | 0.071       |
| 6 | 0.034       |
| 7 | 0.016       |
| 8 | 0.007       |
| 9 | 0.003       |

Please note that the values in the table are rounded to three decimal places.

To know more about parentheses, visit:

https://brainly.com/question/3572440

#SPJ11

Answer: 1750 calories

Step-by-step explanation:

\(\frac{700calories}{12oz} * 30 oz = 1750 calories\)

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

Learn more about approximately here:

https://brainly.com/question/31695967

#SPJ11