problem 9-6 determine the distance yc to the center of gravity of the homogeneous rod bent into the parabolic shape. given: a

Answer:

below

Step-by-step explanation:

This is isosceles because you have TWO equal sides

Equilateral has THREE equal sides

The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

For more such question on perimeter. visit :

https://brainly.com/question/19819849

#SPJ8

Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

For more such question on brand. visit :

https://brainly.com/question/29129317

#SPJ8

Answer:

D) A search warrant

Step-by-step explanation:

A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.

Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.

By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

For similar question on total interest.

https://brainly.com/question/29415701  

#SPJ8

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

The sum of the matrices is equal to:

\(\left[\begin{array}{ccc}-11&-1&15\\-4&12&1\end{array}\right]\)

When we add matrices, we just need to add component by component, for example:

\(\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\end{array}\right] + \left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\end{array}\right] = \left[\begin{array}{ccc}a_{11} + b_{11}&a_{12} + b_{12}&a_{13} + b_{13}\\a_{21} +b_{21}&a_{22} + b_{22}&a_{23} + b_{23}\end{array}\right]\)

Here we want to find the sum:

\(\left[\begin{array}{ccc}-9&-1&7\\0&7&2\end{array}\right] + \left[\begin{array}{ccc}-2&0&8\\-4&5&-1\end{array}\right]\)

Using the above rule we will get:

\(\left[\begin{array}{ccc}-9&-1&7\\0&7&2\end{array}\right] + \left[\begin{array}{ccc}-2&0&8\\-4&5&-1\end{array}\right] = \left[\begin{array}{ccc}-2 - 9&0-1&8+7\\-4+0&5+7&-1+2\end{array}\right]\\\\\left[\begin{array}{ccc}-11&-1&15\\-4&12&1\end{array}\right]\)

Learn more about matrices at:

https://brainly.com/question/11989522

#SPJ1

Answer:

your answer is 3 liters

Step-by-step explanation:

as he brought 12 boxes and 1 box=250 ml

so 250/1000=0.25 l this is a capity of 1 box in liters so you need to multply by 12 as there is 12 box so

0.25*12=3

so 12 boxes contain 3 liters of juice

Hope it helped you if yes so please make me the brainiest

Answer:

Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Given:

Total number of student = 28 student

Number of boys in the class = 11

Find:

Probability that student will be a girl = ?

Computation:

⇒ Number of girls in class = Total number of student - Number of boys in the class

⇒ Number of girls in class = 28 - 11

⇒ Number of girls in class = 17

⇒ Probability that student will be a girl = Number of girls in class / Total number of student

⇒ Probability that student will be a girl = 17 / 28

After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

To learn more about deductive reasoning link is here

brainly.com/question/16685989

#SPJ4

Answer:

x> -2

I hope this helps you...

Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

We have,

To show that y = 4^x and y = log_4x are inverses of each other, we need to show that:

The domain of 4^x is (−∞, ∞), and the range is (0, ∞).

The domain of log_4x is (0, ∞), and the range is (−∞, ∞).

For any x in the domain of 4^x, we have log_4(4^x) = x.

For any x in the domain of log_4x, we have 4^(log_4x) = x.

These conditions are indeed satisfied,

So y = 4^x and y = log_4x are inverses of each other.

The graph of f(x) = e^x can be transformed into the graph of f(x) = -e^x - 2 using the following transformations:

- Reflection about the x-axis:

f(x) → -f(x)

This will reflect the graph of f(x) = e^x about the x-axis so that it is now below the x-axis.

- Vertical shift downward by 2 units:

f(x) → f(x) - 2

This will shift the graph downward by 2 units, so that it is now centered at (-∞, -2).

Therefore,

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer:

A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.

Step-by-step explanation:

Answer:

B, D represent pairs of vertical angles.

___

Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.

- sqdancefan

The best describes a graph of paired points that form a proportional relationship is A straight line can be drawn through all the points, and the line passes through the point where x = 0 and y = 0.

A graph is a data structure that consists of vertices (also known as nodes) and edges. It is used to represent relationships between objects in a mathematical way. A graph can be either directed or undirected; directed graphs have arrows that indicate the direction of the relationship between the two objects, while undirected graphs have no arrows and indicate that the relationship is mutual. Graphs can be used to represent a variety of real-world phenomena.

A straight line can be drawn through all the points, and the line passes through the origin. The origin is the point (0, 0).

To learn more about graph
https://brainly.com/question/19040584
#SPJ1

Answer:

{9n+4z+96}{12}]

Step-by-step explanation:

Combine multiplied terms into a single fraction

{3}{4}n+(8+{1}{3}

{3n}{4}+(8+{1}{3}

Combine multiplied terms into a single fraction

{3n}{4}+(8+{1}{3}z)

{3n}{4}+( 8+{3}

Multiply by 1

{3n}{4}+8+3}

{3n}{4}+( 8+3}

Find common denominator

{3n}{4}+8+3}

3n}{4}+{3\8}{3}+3}

Combine fractions with common denominator

{3n}{4}+3\8}{3}+{3}

{3n}{4}+8+3}

Multiply the number

{3n}{4}+8}+z}{3}\right)

{3n}{4}+24}+z}{3}\right)

Rearrange terms

{3n}{4}+{24+z}}{3}

{3n}{4}+24}}{3}\right)

Find common denominator

\frac{3n}{4}+\frac{z+24}{3}

\frac{3\cdot 3n}{12}+\frac{4(z+24)}{12}

Combine fractions with common denominator

{3\ 3n}{12}+\{4(z+24)}{12}

{3\ 3n+4(z+24)}12

Multiply the numbers

{3}n+4(z+24)}{12}

{9}n+4(z+24)}{12}

Distribute

{4(z+24)}}{12}

{4z+96}}{12}

Answer:

Step-by-step explanation:

The y intercept occurs when x=0.

5(0)-2y=10

-2y=10

y=-5 or the point (0,-5)

Answer:

sorry i answered like that but I really need points so this would be helpful

Step-by-step explanation:

Answer:

See explanation and use calculator

Step-by-step explanation:

Makes sure they are all in degrees not radians. To solve the first one you would be doing cos63=x/16 then plug it in a calculator. For 2 you would be doing tan39=x/27. For number 3 you would be doing cos49= 14/x. For number 4 you would be doing cos15=x/33. Then plug all of these in a calculator which I am to lazy to do.

Statistical inference is the process of using data from a sample to make generalizations or draw conclusions about a larger population.

Based on the sample data, assumptions are made about the fundamental traits of the population, and the uncertainty in those assumptions is quantified using statistical techniques.

Because it enables us to forecast the future and make judgements based on incomplete data, statistical inference is crucial. For instance, with a sample of data, it enables us to confidently estimate population parameters such as averages and proportions. This can be helpful in a variety of contexts, including marketing analysis, surveys of public opinion, clinical trials, and manufacturing quality control.

By comparing the results of several groups or treatments, statistical inference also enables us to assess the efficacy of interventions or treatments.This can inform decisions about which treatments are most effective or which interventions should be implemented.

To know more about statistics, click here,

https://brainly.com/question/29093686

#SPJ1

Only the following two conclusions can be made:

This conclusion can be made by calculating the volume of water in Carmen's flask at time 6 seconds and at time 8 seconds, and comparing it to the volume of water in Matt's flask at the same times.

At time 6 seconds, the volume of water in Carmen's flask is 30 + 8.5(6) = 84 milliliters. At time 8 seconds, the volume of water in Carmen's flask is 30 + 8.5(8) = 94 milliliters. At time 6 seconds, the volume of water in Matt's flask is 10(1 + 0.28)^6 = 45.57 milliliters. At time 8 seconds, the volume of water in Matt's flask is 10(1 + 0.28)^8 = 64.15 milliliters.

Therefore, the volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].

This conclusion can be made because Matt's flask is increasing in volume by 28% each second, while Carmen's flask is increasing in volume by a fixed amount of 8.5 milliliters per second.

As time goes on, the percentage increase in Matt's flask will result in a faster rate of increase in volume compared to Carmen's flask.

Therefore, at some point, the volume of water in Matt's flask will be greater than the volume of water in Carmen's flask.

Learn about experiments here https://brainly.com/question/17274244

#SPJ1

In the first hour of their run, Jenna ran 1 mile more than George.

Given graph shows the data on Jenna's running status.

It shows that Jenna ran 12 miles in 2 hours of time.

Jenna's running status in the first one hour = 12/2 = 6 miles.

Given that George ran at a constant of 5 miles per hour.

To find out how many miles will Jenna ran more than George in the first one hour = 6 -5 = 1 mile.

From the above analysis, we can conclude that the Jenna will run 6 miles in the first one hour and George will run 5 miles in the first one hour. So, Jenna will run 1 mile more than George.

To know more about graph analysis,

https://brainly.com/question/28737035

#SPJ1

Given question is not having enough information, the complete question is attached below,

Answer:

X is 18 degrees

A ciricle total is 360 degrees so you add up all of the degrees that you have subtract it from 360 then divide that number by 17 to get x

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

To learn more about : sequence

https://brainly.com/question/7882626

#SPJ8

Answer:

5/10 + 3/10 = 8/10

5/10 - 3/10 = 2/10

Step-by-step explanation:

1/2 = 5/10

5/10 + 3/10 = 8/10

5/10 - 3/10 = 2/10

Answer: 1/2+3/10

= 5/10+3/10=8/10=0.8=80%

Answer:1/2-3/10

=5/10-3/10=2/10=0.2=20%

Answer: Let's begin by assigning variables to represent the dimensions of the room. Let's use "l" to represent the length and "w" to represent the width.

We know that the length of the room is 5 feet longer than twice the width, so we can write an equation:

l = 2w + 5

We also know that the perimeter of the room is 178 feet. The formula for the perimeter of a rectangle is:

perimeter = 2(length + width)

Substituting the equation we found for the length, we get:

178 = 2(2w+5 + w)

Simplifying, we can combine like terms and solve for w:

178 = 2(3w+5)

89 = 3w+5

84 = 3w

w = 28

Now that we know the width is 28 feet, we can use the equation for the length to find the length:

l = 2w+5 = 2(28)+5 = 61

Therefore, the dimensions of the room are 61 feet by 28 feet.

Step-by-step explanation:

The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

Read more about Number Line Intervals at; https://brainly.com/question/27998235

#SPJ1

Answer:

The equation is \(x^{2} +2\cdot x + 2 = 0\)-

Step-by-step explanation:

According to the statement, we have a second order polynomial of the form \(A\cdot x^{2}+ B\cdot x + C = 0\), whose solutions can be found by Quadratic Formula:

\(x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}\) (1)

Where \(A\), \(B\) and \(C\) are the coefficients of the polynomial.

If roots are conjugated complex numbers, then:

\(B^{2}-4\cdot A\cdot C < 0\) (2)

\(B^{2} < 4\cdot A \cdot C\)

If we know that \(A = 1\), \(C = 2\) and \(x_{1,2} = -1\pm i\), then we find that:

\(-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}\)

\(-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}\)

By comparing each side, we have the following system of equations:

\(-B = -2\) (3)

\(\sqrt{B^{2}-8} = 2\) (4)

Whose solution is \(B = 2\).

In a nutshell, the equation is \(x^{2} +2\cdot x + 2 = 0\)-

Answer:

Volume of a pyramid = lwh /3 ==12/3==4