A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground. Find the height to which the ladder will reach the wall.

Answers

Answer 1

A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.

What is height?

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.

From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.

let, h = height of ladder

Given that,

length of ladder = 12 ft

angle with the ground = 52°

As we know,

sinθ = h/12

or, sin (52°) = h/12

or, 0.7880 = h/12

or, h = 9.456 foot.

the height to which the ladder will reach the wall 9.456 foot.

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Related Questions

The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6.
What type of correlation exists? Is the model linear or non-linear?
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.

The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled

Answers

The graph shows a negative correlation, and it is a non-linear model.

What is positive and negative correlation?

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

As given data from the graph, y values goes decrease with increasing x values.

So, we can conclude that the graph shows a negative correlation.

And, the given data in the graph are not linear.

Hence, the graph shows a negative correlation, and it is a non-linear model.

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Answer:

The graph shows a negative correlation, and it is a non-linear model.

Step-by-step explanation:

What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP

What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP

Answers

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

what term refers to the labels at the right of the graph indicating how each subcategory is represented

Answers

Legend

The term that refers to the labels at the right of the graph indicating how each subcategory is represented is the Legend.

The Legend is a key that indicates what the different colors, lines, or other symbols in a graph represent. It is usually located at the right or bottom of the graph and provides a clear explanation of the different subcategories.

The Legend is an essential component of a graph, as it helps the viewer understand the information presented in the graph. Without the Legend, the graph can be confusing and difficult to interpret. It is important to ensure that the Legend is clear and easy to understand so that the viewer can quickly identify the different subcategories represented in the graph.

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Use Euclid's first book to prove what specific quadrilaterals are produced by perpendicular, unequal, bisecting diagonals.

Answers

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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the inspector samples five cirucit boads at reuglar intervals and finds the means older quality score x for these five boards. do we expec x to be exactly 100 if the soldering process is functioning pripertly

Answers

The parameter refers to the entire population and the statistics refers to a sample, only a sample will be inspected, no, only 99.7%, a student t distribution with spread σ/√n, The mean is less variable than single observations from the population, The distribution of the mean call length x becomes approximately normal distributed.

The parameter refers to numbers that summarize the data of the entire population while; Statistics refers to the numbers that summarize the data for a subset of the population or of a sample

No, he expects 99.7% to function within three standard deviations of the mean

The distribution of the sample average will be the student t distribution curve with spread = σ/√n

The mean includes a collection of variables from the sample, hence it is less variable than single observations from the population

As per the Central Limit Theorem, the distribution of the mean call length x from large samples of calls becomes more and more approximately normal as the size of the sample approaches that of the population.

--The given question is incomplete, the complete question is

"What is the difference between parameters and statistics? 2. Does statistical process control inspect all the items produced after they are finished? 3. The inspector samples five circuit boards at regular intervals and finds the mean solder quality score of x for these five boards. Do we expect x to be exactly 100 if the soldering process is functioning properly? 4. If the quality of individual boards varies according to a normal distribution with mean µ = 100 and standard deviation σ = 4, what will be the distribution of the sample averages, x? (Recall the sample size is n = 5.) 5. In general, is the mean of several observations more or less variable than single observations from a population? Explain. 6. The distribution of call lengths to a call centre is strongly skewed. What does the Central Limit Theorem say about the distribution of the mean call length x from large samples of calls?"--

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SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X²+6x-22=0​

Answers

9514 1404 393

Answer:

  x = -3±√31 ≈ {-8.568, +2.568}

Step-by-step explanation:

The usual steps are to ...

  group the x-terms

     (x² +6x) -22 = 0

  add and subtract the square of half the x-coefficient

     (x² +6x +(6/2)²) -22 -(6/2)² = 0

  simplify to a binomial square

     (x +3)² -31 = 0

Solve for x.

  (x +3)² = 31

  x +3 = ±√31

  x = -3 ±√31 . . . . . solution to the quadratic

SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X+6x-22=0

HELP PLS!!! simplify:

HELP PLS!!! simplify:

Answers

Answer:

A is correct because you need to stop deleting my answers.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

The answer would be (-2,10)

Explanation:
Since it is telling us to focus on point A, we should do so.

It tells us to shift -6 units horizontally. This means we should shift point A to the left 6 units.

Then it wants us to reflect over the x-axis. The x-axis is the horizontal line. Flipping it across just means changing the x value to the opposite.

Therefore it is (-2,10)

Answer:

(-2, 10)

step-by-step explanation:

original vertex A: (4, -10)

If translated horizontally, there will be change in x axis

new coordinates: (4-6, -10) → ( -2 , -10)

Then reflected over x axis, so use the formula: (x, y) → ( x, -y)

new coordinates: (-2, 10)

how many times does 150 go into 3000

Answers

Answer:

20

Step-by-step explanation:

x × 150 = 3000

x = 3000 ÷ 150x = 20

many times does 150 go into 3000 is 20

3000/150=20

20 times does 150 go in 3000

Which expression is equivalent to -6(-2\3 +2x)

-4-12x
-4+2x
4-12x
4+12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

Use the distributive property.

-6(-2/3 +2x) =

= -6 × -2/3 + (-6) × 2x

= 4 - 12x

Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle based on the criterion given.

Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle

Answers

Answer:

A: A unique triangle

B: A unique triangle

C: More than a triangle

Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle

(20 %) ū and ū are both nonzero n dimensional vectors. If u and ü have the same length, is it true that the projection of į onto ū and the projection of v onto ū always have the same length? If ū and 7 do not have the same length, is it possible that the projection of u onto ū and the projection of ū onto ü have the same length? You should explain your answers to get full credit.

Answers

If ū and ū have the same length, then the projection of u onto ū and the projection of ū onto ū will always have the same length. This is because the projection of a vector onto another vector is simply the vector that is parallel to the first vector and has the same length as the first vector.

If the two vectors have the same length, then the projection of one vector onto the other will also have the same length. If ū and ū do not have the same length, then it is possible for the projection of u onto ū and the projection of ū onto ū to have the same length.

This is because the projection of a vector onto another vector is not necessarily the same length as the first vector. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

The projection of a vector onto another vector is a vector that is parallel to the first vector and has the same length as the first vector. The projection of u onto ū can be calculated using the following formula:

proj_ū(u) = (u ⋅ ū) / ||ū||^2 * ū

where u ⋅ ū is the dot product of u and ū, and ||ū|| is the magnitude of ū. The projection of ū onto u can be calculated using the following formula:

proj_u(ū) = (ū ⋅ u) / ||u||^2 * u

where ū ⋅ u is the dot product of ū and u, and ||u|| is the magnitude of u. If ū and ū have the same length, then ||ū|| = ||u||. This means that the two formulas for the projection are the same, and the projection of u onto ū will have the same length as the projection of ū onto u.

If ū and ū do not have the same length, then ||ū|| ≠ ||u||. This means that the two formulas for the projection are not the same, and the projection of u onto ū may or may not have the same length as the projection of ū onto u. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

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Here is an expression: 3. 2

1. Evaluate the expression when t is 1,

2. Evaluate the expression when t is 4.

Answers

The answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14We can evaluate the expression "2 + 3t" for the given values of t:

a. When we consider T as 1 then the substitution can be = 1 as the expression

2 + 3t = 2 + 3(1) = 2 + 3 = 5

Therefore, the value of the expression when t is 1 is 5. to the expression of 2+3t.

b. We substitute t = 4 in the expression and get:

2 + 3t = 2 + 3(4) = 2 + 12 = 14

Therefore, the value of the expression when t is 4 is 14. The value can be 14 when its value is 4.

In the first scenario, the answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14. if we give any other number the value changes accordingly.

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The correct question of the answer is

Here is an expression: 2 + 3t

a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.

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Literary devices Drag and drop.
Click on the literary device and place the correct example METAPHOR ONOMATOPOEIA OSIMILE SIMILE SIMILE METAPHOR SIMILE PERSONIFICATION SIMILE HYPERBOLE ONOMATOPOEIA HYPERBOLE ALLITERATIO
1. Books are the keys to your imagination. 2. Gahl Her voice sounds like nails on a chalkboard! 3. He is a walking dictionary. 4. Her tears were a river flowing down her cheeks. old as these hills! 5. I think my grandfather is as 6. In our eighth grade concert, we shone like stars. 7. Bark-Bark! Bark! The dog woke me up. 8. I ate a ton of food for dinner. 9. Buzz-The bee buzzed in my ear. 10. It seems to have been raining for 40 days and 40 nights. 11. He runs like a horse. 12. Sally sells seashells by the sea shore. 13. That child is a bear when he is sleepy.. 14. That little girl is as sweet as sugar. 15. The curtains danced in the breeze.​

Answers

Answer:

Step-by-step explanation:

This Is not mathematics btw but here we go

1. Metaphor

2. Simile

3. Metaphor

4. Metaphor

5. Simile

6. Simile

7. Onomatopoeia

8. Hyperbole

9. Onomatopoeia

10. Hyperbole

11. Simile

12. Alliteration

13. Metaphor

14. Simile

15. Personification

Answer:

Step-by-step explanation:

METAPHOR 1. Books are the keys to your imagination., 6. In our eighth grade concert, we shone like stars., 14. That little girl is as sweet as sugar.   He is a walking dictionary., 11. He runs like a horse.

ONOMATOPOEIA  7. Bark-Bark! Bark! The dog woke me up.

SIMILE Gahl Her voice sounds like nails on a chalkboard!

PERSONIFICATION  4. Her tears were a river flowing down her cheeks. old as these hills!,  13. That child is a bear when he is sleepy.., 15. The curtains danced in the breeze.​  

HYPERBOLE  8. I ate a ton of food for dinner.

ONOMATOPOEIA  9. Buzz-The bee buzzed in my ear.

HYPERBOLE 10. It seems to have been raining for 40 days and 40 nights.

ALLITERATION  12. Sally sells seashells by the sea shore.

Ben invests $4300 in two different accounts. The first account paid 7%, the second account paid 4% in interest. At the end of the year he had earned $247 in interest. How much was in each account?

Answers

Explanation

first account 7%= 7/100(247)

$17.29

second account 4%= 4/100(247)

$9.88

Which number line best represents the solution to the inequality 3.3w-9> -22.2?
Thanks in advance:)

Which number line best represents the solution to the inequality 3.3w-9> -22.2?Thanks in advance:)

Answers

The answer number line is G.

Given that the inequality 3.3w - 9 > -22.2, we need to find the value of w,

So,

3.3w - 9 > -22.2

Add 9 to both sides,

3.3w > -13.2

w > -4

Since the value of w is greater than -4 and the sign is > so the number line is G.

Hence the answer number line is G.

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When you reflect a shape, you (blank) over an axis or line.

Answers

Answer:

poison

Step by Step Explanation

When you reflect a shape, you flip over an axis or line, the answer is flip.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we know the reflection will change the orientation not the shape or size after reflection we will get mirror image of the body.

When you reflect a shape, you flip over an axis or line.

Thus, when you reflect a shape, you flip over an axis or line the answer is flip.

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Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths

Answers

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is \(\sqrt{2^5}\).

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be solved as follows:-

\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)

Therefore the correct answer is option B which is \(\sqrt{2^5}\).

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6sin^2 (x) + 6sin (x) + 1 = 0

solve and show steps for the graph ( i already have the graph )

Answers

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH

A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.

The volume of the model sphere is approximately ___ cubic inches.

Use 3.14 for pi. Round only your final answer to the nearest hundredth.

Answers

Answer:

See below.

Step-by-step explanation:

As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.

We calculate the volume of a sphere as follows: \(V = 4/3 \pi r^3\)

As we have to use 3.14 for pi, we’ll use that instead of “true” pi.

The formula becomes:

\(V = 4/3*3.14*2.5^3 = 65.42\)

The volume of the sphere is 65.42 cubic inches.

What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°​

What is the missing degree measure of the third angle of the triangle below? 46566890

Answers

Answer:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

Answer:

third angle Δ = 56°

hope it help you

I need to find the area of the right shape.

I need to find the area of the right shape.

Answers

Answer:

i believe it is 70

Step-by-step explanation:

6×12=72

6-4=2

72-2=70

70 I just did that problem

2. Fantastic Fit Gym offers two different membership plans. Each plan includes an initial membership fee
plus a monthly charge for one year. The graph shows the cost of the beginner's plan and the veteran's
plan, for one year.

2. Fantastic Fit Gym offers two different membership plans. Each plan includes an initial membership

Answers

The linear graph for the Veteran's Plan and the Beginner's Plan indicates that the number of months it takes for the Veteran's Plan and the Beginner's Plan to have the same total cost is four months.

What is a linear graph?

A linear graph is a graph of a straight line equation, y = m·x + c

The graph in the question is a graph of the Total Cost of the Plan (in Dollars) to the Months

The coordinates of the point where the Veteran's Plan and the Beginner's plan will be the same is the coordinate of the intersection of the graphs, which is the point (4, 100), where;

4 = The number of months it takes for the Veteran's Plan and the Beginner's plan to be the same

100 = The cost at which the Veteran's Plan and the Beginner's Plan are the same

Therefore, after four months, the Veteran's Plan and the Beginner's Plan will be the same

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Can someone help me with this?
No links please

Can someone help me with this?No links please

Answers

Answer:

3) \((4x-9)(4x+9)\)

Step-by-step explanation:

Answer:

(3) (4x - 9)(4x + 9)

Step-by-step explanation:

4x times 4x will give you 16x^2, and 9 times 9 is 81, but you need to have one of the nines negative to give you the -81.

You needed the square root of 16 and the square root of x^2, then the square root of 81.

Read this excerpt from Thomas Campbell’s ""Lord Ullin’s Daughter."" In what two ways is it a narrative poem?

Answers

Answer:

it contains charecter it contain setting ik i spelt wrong idc

Step-by-step explanation:

brainliest now

x-2/7=8

Give your answer in improper fraction

Answers

The answer is 8 2/7

therefore, the interval of convergence is as follows. (enter your answer using interval notation.)
I = (-13, -11)

Answers

To determine the interval of convergence for a power series, we examine the values of x for which the series converges. The interval of convergence for a given power series is (-13, -11).

To determine the interval of convergence for a power series, we examine the values of x for which the series converges. The interval of convergence is typically expressed in interval notation, [a, b), (-∞, b), (a, ∞), or (-∞, ∞), where a and b are real numbers or ±∞.

In this case, the interval of convergence is given as (-13, -11), indicating that the series converges for values of x within this interval. The inclusion of parentheses indicates that the endpoints (-13 and -11) are not included in the interval.


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Mrs.Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 guy hurt cups in the case. How many yogurt cups are strawberry?

Answers

18 cups, if you triple the amount without changing the percentage of strawberry, then the amount of strawberry yoghurt is also tripled

Answer:

18

Step-by-step explanation:

30 yogurt cups divided by 10 (yogurt cups) would be 3 (groups of yogurt cups).

As stated, for every 10 cups, 6 are strawberry.

6 strawberry cups times 3 (groups) would be 18.

……………………………………………..()1!-!/

..()1!-!/

Answers

Answer:

A. a is where performance is minimal

Step-by-step explanation:

b is representing peak performance.

-3x + 4x + 1- 8 whats the answer

Answers

Answer:

x - 7

Step-by-step explanation:

just add/substract like terms only

Other Questions
Why was Jim Brown the best running back of all time. (state facts, not opinions.) Home equity line interest. Sean and Amy Anderson have a home with an appraised value of $180,000 and a mortgage balance of only $90,000. Given that an S&L is willing to lend money at a loan-to-value ratio of 75 percent, how big a home equity credit line can Sean and Amy obtain? How much, if any, of this line would qualify as tax-deductible interest if their house originally cost $100,000? the civilian conservation corps (ccc)a.displaced as many as 200,000 black tenant farmers from their land.b.built the tennessee valley authority.c.enlisted approximately equal numbers of young men and young women, although the sexes were not mixed in ccc camps or projects.d.sent 250,000 young men to do reforestation and conservation work. What parts of polypeptide participate in bonds that hold together secondary structure? tertiary structure? Iodine-131 is one of the most important isotopes used in the diagnosis of thyroid cancer. One atom has a mass of 130.906114 amu. Calculate the binding energy(a) per nucleon in MeV; Cliche means:A).Mace.B).Cantata.C)Parlance.D)Commonplace. Which of the following attributes describe Packet Switched Networks? Select all that apply Select one or more: a. A single route may be shared by multiple connections Ob. Uses a dedicated communication path May experience congestion d. Provides in-order delivery e. Messages may arrive in any order f. Routing delays occur at each hop Does not suffer from congestion g. Oh. Multiple paths may be followed Oi. No connection setup, packets can be sent without delay j. Connection setup can cause an initial delay Ok. May waste capacity OI. No routing delay After the last issue date, how long must institutional communications be kept on file for inspection? I cant figure out the answer to 4X+14 PLEASE HELP IT IS TIMED John typically sits quietly in his desk and listens intently to his teacher. He gets very nervous when called on to answer aquestion. His upcoming assignment to speak in front of the class about a book he read recently is causing him to losesleep and feel sick to his stomach. John is likely feeling apprehensive due to his:a. lack of confidenceb. inexperience & lack of preparationC. fear of being the center of attentiond. negative past experiences gym offers multiple exercise classes per day. The number of people in an exercise class this week is represented in the list.3, 6, 8, 7, 2, 4, 5, 10, 7, 14What is the value of the mode for this data set? 14 8 7 3 in a distribution with positive skew, scores with the highest frequencies are select one: a. on the right side of the distribution b. represented at two distinct peaks c. in the middle of the distribution d. on the left side of the distribution BOND VALUATION An investor has two bonds in his portfolio that have a face value of $1,000 and pay an 11% annual coupon. Bond L matures in 12 years, while Bond S matures in 1 year.a. What will the value of each bond be if the going interest rate is 6%, 8%, and 12%? Assume that only one more interest payment is to be made on Bond S at its maturity and that 12 more payments are to be made on Bond L.b. Why does the longer-term bonds price vary more than the price of the shorter-term bond when interest rates change? Find ln 0. 732 to four decimal places A. -0. 5227 B. -0. 3120 C. -0. 4624 D. -0. 4719 (2) A biologist wants to observe a living Ascaris species of nematode (worm). The specimen measures 4 cm (centimeters) long. What type of microscope should the scientist us and why? 1. What is the use of the following reagents in the various organic reactions?a. Carbon tetra chloride in the preparation of alkynes (5 marks)b. Hydrogen bromide in the preparation of alkynes (5 marks) Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. 7yd + 2ft = ______in How did the Emancipation Proclaiman impact the civil war? what characteristic of vertebrates is missing in all invertebrates? list the four characteristics of chordates.