The area of a square foot ball field is
16900cm². calculate the length of the field.

Answers

Answer 1

AREA OF A SQUARE= LENGTH* LENGTH

16900= L²

TAKE THE SQUARE ROOTS OF BOTH SIDES

√16900 =√L²

L= 130

THEREFORE THE LENGTH OF THE FIELD IS 130cm.


Related Questions

What are the values of sin cos and tan?

Answers

Step-by-step explanation:

bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French

Percy thinks that since the data {5, 0, 4, 0, 0} has a mode of 0, the data has no mode.

Using 3-5 sentences, critique Percy's reasoning.

Answers

The reasoning of Percy is incorrect because there is one mode for the data set.

What is Mode?

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given data is {5, 0, 4, 0, 0}.

Here the value 0 is repeating three times.

No other number has repeated three times.

So there is only one mode for the data set and is 0.

This does not mean that there is no mode for the set.

A data set has no mode if and only if all the numbers in the set are repeated same number of times.

Hence the reasoning of Percy is incorrect.

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The question is down below. Which option i correct?

The question is down below. Which option i correct?

Answers

Answer:

Step-by-step explanation:

overall the answer is wrong i say it is the first one  

Answer:

The first one is theost plausible because root 16 is 4, 30 + 4 is 34, the actual answer is 25.38

Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.

Answers

Answer:

(2.19 x 4) + (0.79 x 3)

Step-by-step explanation:

ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.

Answer:

9.55

Step-by-step explanation:

ANSWER QUICK PLEASE!!!!

ANSWER QUICK PLEASE!!!!

Answers

Answer:

A

Step-by-step explanation:

A would be the answer because The distance you shoot from has no effect on shooting accurcy.

2. Supposed the prevalence of Sudden infant death syndrome (SIDS) is 0.01%. At a local Maternity hospital 3 of the 100 newborn infants died of SIDS following birth. a. What is the probability of 3 dying of SIDS in this situation? b. In this situation would you find it alarming that this many died or would this be expected. Why or why not? (write 1-3 sentences explaining

Answers

The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.

a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.

b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.

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A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%

Answers

Answer:

25%

Step-by-step explanation:

the formula is:

1-(new price/old price), which =

1-(45/60)=

1-3/4=

4/4-3/4=

1/4=

.25 or 25%

Hope this helps! :)

CAN SOMEONE HELP MEEEE OUTTT!!!

CAN SOMEONE HELP MEEEE OUTTT!!!

Answers

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

A bank loan processing system has three components with individual reliabilities as shown: R 1 = 0.82 R 2 = 0.991 R 3 = 0.98 What would be the reliability of the bank system above if each of the three components had a backup with a reliability of 0.80? How would the total reliability be different?

Answers

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.

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SOMEONE HELP ME NOW AND ASAP PLEASE !

SOMEONE HELP ME NOW AND ASAP PLEASE !

Answers

Answer: C, 1/9

Step-by-step explanation:

Answer:

C: 1/9

Hope this helped you! If it did please give brainliest!

Please dont forget to give a thanks and leave a rating!

PLEASE HELP!!!
Given a || b, m<3
5x + 10, and m<5 = 3x + 10, find the value of x

PLEASE HELP!!! Given a || b, m&lt;35x + 10, and m&lt;5 = 3x + 10, find the value of x

Answers

Answer:

x = 20

Step-by-step explanation:

angle m<3 + angle m<5 = 180° because these angles are supplementary

5x + 10 + 3x + 10 = 180° add like terms

8x + 20 = 180

8x = 160 divide both sides by 8

x = 20

Use this area model to find One-fourth divided by 3.
One-fourth divided by 3 =
.

Answers

Answer:

1/12

Step-by-step explanation:

This answer is right

Use this area model to find One-fourth divided by 3.One-fourth divided by 3 = .
Is 1/12 because like he says divide first and then continue the process they gave u!

Find the value of x.

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.
Find the value of x.

7m + 3mn when m = 8 and n = 14

Answers

Answer:

392

Step-by-step explanation:

m = 8 and n = 14

Substituting the values of m and n in the question, we get :

7m + 3mn

=( 7 x 8) +(3 x 8 x 14)

= 56 + 336

= 392

Answer:

356

Step-by-step explanation:

7x8+56

3x8=24

24x14=336

Add everything up

Please help!!

−7c+9−8c+1

Answers

Answer:-5(3c-2

Step-by-step explanation:

Answer: -15c + 10

Step-by-step explanation:

-7c + 9 - 8c + 1

Combine Like Terms:

(-7 -8c) + (9+1)

-15c + 10

Rachel weighed her two cats, Tiger and Mittens. Tiger weighed 10. 91 pounds, and Mittens weighed 178. 08 ounces. Which cat is heavier, and how many pounds heavier is she? a. Tiger is 1. 02 pounds heavier than Mittens. B. Tiger is 3. 49 pounds heavier than Mittens. C. Mittens is 0. 22 pounds heavier than Tiger. D. Mittens is 3. 93 pounds heavier than Tiger.

Answers

Answer:

✅C. Mittens is 0.22 pounds heavier than Tiger

Rachel weighed her two cats, Tiger and Mittens. Tiger weighed 10. 91 pounds, and Mittens weighed 178.

What is the value of x?

40
70
140
160

Answer: 70

What is the value of x?4070140160Answer: 70

Answers

Answer: the answer is 70

Step-by-step explanation:

The value of x is 70.

What is angle Sum Property?

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.

Given:

As, the two sides of Triangles are and angles opposite to equal sides are also equal.

So, the measure of two angles are x.

Now, using Angle Sum Property

x+ x + 40= 180

2x + 40= 180

2x = 140

x= 70

Hence, the value of x is 70.

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if AD = 5x - 7 and AB = 2x +11, what is the length of AD

Answers

Answer:

The length of AD is 6.

Step-by-step explanation:

Solve.

\(5x - 7 = 2x + 11 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 2x \: \: \: \: \: \: = - 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{3x - 7 = 11} \\ \frac{ \: \: \: \: \: \: \: \: \: + 7 = + 7}{3x = 18} \\ \\ \frac{3x}{3} = \frac{18}{3} \\ \\ x = 6\)

Now plug in:

\(5x - 7 \\ 5(6) - 7 \\ 30 - 7 \\ 23\)

^Therefore, your result^

How many solutions does this system of equations have?

A. No Solutions
B. 2
C. 1
D. An infinite number of solutions

How many solutions does this system of equations have?A. No SolutionsB. 2C. 1D. An infinite number of

Answers

Answer: D) infinitely many solutions

===================================================

Explanation:

Let's solve the first equation for y

4x - 2y = 6

4x-6 = 2y

2y = 4x-6

y = (4x-6)/2

y = (4x/2) - (6/2)

y = 2x - 3

After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3

Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).

Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.

You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.

-------------------------------

Here's another approach using substitution

4x - 2y = 6 ... start with the first equation

4x - 2( y ) = 6

4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3

4x - 2(2x) - 2(-3) = 6

4x - 4x + 6 = 6

0x + 6 = 6

0 + 6 = 6

6 = 6

We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.

Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.

pls pls help

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many

Answers

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.

a(b c) = ab ac is an example of which boolean algebra property?

Answers

The boolean algebra property demonstrated by A(b c) = ab ac is called the distributive property. This property states that the product of a term with a sum of two or more terms can be distributed or split into the product of each term with the initial term.

In this case, the term A is being distributed to the sum of terms (b c), resulting in the product of A and b, and the product of A and c.

The distributive property is one of the most fundamental and useful properties in boolean algebra, and it is used extensively in simplifying and manipulating boolean expressions. It is also one of the basic laws of algebra and is applicable to both addition and multiplication.

In general, the distributive property allows for the simplification of complex expressions by breaking them down into simpler terms. This makes boolean algebra an important tool in digital logic and computer science, where it is used to design and optimize digital circuits and systems.

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cos(a+b) x cos(a-b)/cos^2(a)x cos^2(b)=1-tan^2(a)xtan^2(b)

Answers

To prove the given trigonometric identity:

cos(a + b) * cos(a - b) / (cos^2(a) * cos^2(b)) = 1 - tan^2(a) * tan^2(b)

We'll start with the left-hand side (LHS) of the equation:

LHS = cos(a + b) * cos(a - b) / (cos^2(a) * cos^2(b))

Using the trigonometric identity for the cosine of the sum and difference of angles:

cos(a + b) = cos(a) * cos(b) - sin(a) * sin(b)
cos(a - b) = cos(a) * cos(b) + sin(a) * sin(b)

Substituting these values into the LHS:

LHS = [cos(a) * cos(b) - sin(a) * sin(b)] * [cos(a) * cos(b) + sin(a) * sin(b)] / (cos^2(a) * cos^2(b))

Using the difference of squares formula:

LHS = [cos^2(a) * cos^2(b) - sin^2(a) * sin^2(b)] / (cos^2(a) * cos^2(b))

Using the trigonometric identity sin^2(x) = 1 - cos^2(x), we can simplify further:

LHS = [cos^2(a) * cos^2(b) - (1 - cos^2(a)) * (1 - cos^2(b))] / (cos^2(a) * cos^2(b))

Expanding and simplifying the numerator:

LHS = [cos^2(a) * cos^2(b) - (1 - cos^2(a) - 1 + cos^2(a)) * (1 - cos^2(b))] / (cos^2(a) * cos^2(b))

Simplifying the numerator:

LHS = [cos^2(a) * cos^2(b) - (cos^2(a) - cos^2(a)) * (1 - cos^2(b))] / (cos^2(a) * cos^2(b))

Simplifying further:

LHS = [cos^2(a) * cos^2(b) - 0 * (1 - cos^2(b))] / (cos^2(a) * cos^2(b))

Since 0 multiplied by anything is 0, the numerator simplifies to 0:

LHS = 0 / (cos^2(a) * cos^2(b))

Therefore, the left-hand side (LHS) is equal to 0.

Now, let's evaluate the right-hand side (RHS):

RHS = 1 - tan^2(a) * tan^2(b)

Using the trigonometric identity tan^2(x) = 1 - cos^2(x), we can substitute:

RHS = 1 - (1 - cos^2(a)) * (1 - cos^2(b))
RHS = 1 - (1 - cos^2(a) - cos^2(b) + cos^2(a) * cos^2(b))
RHS = 1 - 1 + cos^2(a) + cos^2(b) - cos^2(a) * cos^2(b)
RHS = cos^2(a) + cos^2(b) - cos^2(a) * cos^2(b)

Therefore, the right-hand side (RHS) is equal to cos^2(a) + cos^2(b) - cos^2(a) * cos^2(b).

Comparing the LHS and RHS, we see that they are indeed equal:

LHS = 0


Evaluate the expression if a = 3, b = 4, and c = 2. Simplify, if possible.

Answers

Answer:

there is no expression

Step-by-step explanation:

there is no expression

Write the displacement vector from plane to ship, letting
i
^
represent east,
j
^

north, and
k
^
up. −3.078i−6.47j+2.20k km (b) How far abart are the plane and ship?

Answers

The plane and ship are 7.5 km apart.

Given that the displacement vector from plane to ship is

−3.078i−6.47j+2.20k km

(b) How far apart are the plane and ship

To determine the magnitude of the displacement vector, we will use the distance formula.

Let the components of the displacement vector be:

A = -3.078, B = -6.47, C = 2.20

∴ The magnitude of the displacement vector is

|d| = √(A² + B² + C²)|d|

= √((-3.078)² + (-6.47)² + (2.20)²)|d|

= √9.47 + 41.98 + 4.84|d|

= √56.29|d|

= 7.5 km.

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k .... Please show complete answer

Answers

To reparametrize the curve with respect to arc length, we need to find the arc length function s(t) and then invert it to get t(s). Then we can substitute t(s) into the original curve to get a new parametrization in terms of arc length.

First, we need to find the arc length function s(t). The arc length of a curve r(t) from t=a to t=b is given by the formula:

s(b) - s(a) = ∫[a,b] ||r'(t)|| dt

where ||r'(t)|| is the magnitude of the derivative of r(t) with respect to t. In this case, we have:

r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k

r'(t) = 2e^(2t) cos(2t) i - 2e^(2t) sin(2t) j + 2e^(2t) cos(2t) k

||r'(t)|| = √( (2e^(2t) cos(2t))^2 + (-2e^(2t) sin(2t))^2 + (2e^(2t) cos(2t))^2 )

= 2e^(2t) √( cos^2(2t) + sin^2(2t) + cos^2(2t) )

= 2e^(2t) √( 2cos^2(2t) + 1 )

Now we can integrate ||r'(t)|| with respect to t:

s(t) = ∫[0,t] ||r'(u)|| du

= ∫[0,t] 2e^(2u) √( 2cos^2(2u) + 1 ) du

This integral does not have a closed-form solution, so we need to use numerical methods to compute it. We can use the trapezoidal rule with a small step size Δt to get an approximation:

s(t) ≈ ∑[k=1,n] ( Δt/2 ) [ ||r'(t_k)|| + ||r'(t_{k-1})|| ]

where t_k = kΔt and n = t/Δt.

Now we need to invert s(t) to get t(s). Since s(t) is an increasing function of t, its inverse t(s) exists and is also an increasing function. We can use the bisection method or Newton's method to find t(s) numerically.

Finally, we can substitute t(s) into the original curve r(t) to get the new parametrization in terms of arc length:

r(s) = e^(2t(s)) cos(2t(s)) i + 4 j + e^(2t(s)) sin(2t(s)) k

Note that this is an implicit formula for r(s), since t(s) is itself a function of s.

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Mrs. Barrera was buying a new winter coat. It cost $115. She has two coupons, the first is 20% off one item. The second is $25 off. Which coupon will save her more money?

Answers

Answer:

The second coupon will save more money.

Step-by-step explanation:

Below are the calculations:

First, find the 20% of the cost $115 and then compare with other value $25.

The 20% of the $115 = 20% x 115 = $23

Since the person has two coupons, one coupon benefits by $23 and second coupon benefit by $25. Therefore, second coupon will save more money.

Round to the nearest hundredth : 8.113


plz help :)​

Answers

Answer:

\(8.11\)

Step-by-step explanation:

Rounded to nearest hundredth.

After Round to the nearest hundredth value of number is,

⇒ 8.11

We have to given that;

A number is,

⇒ 8.113

And, We an Round to the nearest hundredth.

Since, Rounding numbers refers to changing a number's digits such that it approximates a value.

Here, In number 8.113,

Digit in thousandth place is 3 which is less thn 5.

Hence, After Round to the nearest hundredth value of number is,

⇒ 8.11

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How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?​

Answers

Pick an x-value between the interval givens. I’ll choose “1”. If you sub in one for both f(x) and g(x) you get that f(1) = -1.5 and g(1) = -0.5. Now you can divide f(1) by g(1) to get average rate of change. -1.5/-0.5 = 3.

give one seggestion to avoid cyber bullying ​

Answers

BEING CAREFUL WHILE USING THE INTERNET

Answer:

Never post personal information Always check the TO: field Don't be gullible Don't respond to an angry message with anger Never open messages from strangers Don't forward chain mails, hoaxes or long emails Use the BCC: field when forwarding messages Proofread your messages Beware of certain topics Don't post anything that is very private

two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. the die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) what is the probability of the event that exactly one of the colors that appears face up is red? 1/9 incorrect: your answer is incorrect. (b) what is the probability of the event that at least one of the colors that appears face up is red?

Answers

The probability of the event that exactly one of the colors that appears face up is red is 4/9.

The probability of the event that at least one of the colors that appears face up is red is 19/27.

(a) To find the probability of exactly one of the colors that appears face up being red, we can consider the different ways in which this can happen:

Red on the first roll, non-red on the second and third rolls.

Non-red on the first roll, red on the second roll, non-red on the third roll.

Non-red on the first and second rolls, red on the third roll.

For each of these cases, the probability can be calculated as follows:

Probability of red on first roll: 2/6 = 1/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (1/3) * (2/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of red on second roll: 2/6 = 1/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (1/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of red on third roll: 2/6 = 1/3

Total probability for this case: (2/3) * (2/3) * (1/3) = 4/27

Adding up the probabilities for each case gives us the total probability of exactly one of the colors that appears face up being red:

4/27 + 4/27 + 4/27 = 4/9

Therefore, the probability of the event that exactly one of the colors that appears face up is red is 4/9.

(b) To find the probability of the event that at least one of the colors that appears face up is red, we can consider the complement of the event, which is that none of the colors that appear face up is red. The probability of this can be calculated as follows:

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (2/3) * (2/3) = 8/27

Therefore, the probability of at least one of the colors that appears face up being red is:

1 - 8/27 = 19/27

Thus, the probability of the event that at least one of the colors that appears face up is red is 19/27.

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If anyone needs help in AP CSP, I Got you. Consider a bond selling at par with modified duration of 10. 6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21. 2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rul How does price discrimination move a market that is not perfectly competitive to an efficient output level?. read through each of the following pieces of information about buyers debt obligations and determine which one will qualify for an fha loan based on the qualifying ratios. Which of the following is the best description of the balanced scorecard?A. A strategic planning and management systemB. A performance measurement frameworkC. A formal, structured approach to link IT investment to business performanceD. All are descriptions of the balanced scorecard Multi-step: eileen collected 98 empty cans to recycle and carl collected 82 cans. they packed an equal number of cans into three boxes to take to the recycling center. how many cans were in each box? what is the composition of the atmosphere write your own answer in your science journal (please help) Name a fraction between 8/9 and 1. A submarine window has 1730 N offorce on it, due to water pressing itwith 2.45 atm of pressure. What isthe area of the window?(Unit = m^2)As always, keep 3 sig figs.Enter What conclusions have you reached about Silass true identity, in the graveyard book Why did some Puerto Ricans resent u.s. control of their government which segments (s) are perpendicular to ABA. segments CD only B. segments CA and CBC. segments CA, CD, and CB THIS IS DUE IN 10 MINUTES!!! Check all that apply. Please I need help quick Please help me with this I will give brainlist 1. Failure [20 points] a. This type of failure is responsible for 90% of all service failures: fatique/creep/fracture (pick one) [1 point]. Flaws in objects are referred to as___ Raisers [1 point]. b. Draw brittle and moderately ductile fracture surfaces. How do grasshoppers smell?. [The following information applies to the questions displayed below.]Joe and Jessie are married and have one dependent child, Lizzie. Lizzie is currently in college at State University. Joe works as a design engineer for a manufacturing firm while Jessie runs a craft business from their home. Jessies craft business consists of making craft items for sale at craft shows that are held periodically at various locations. Jessie spends considerable time and effort on her craft business, and it has been consistently profitable over the years. Joe and Jessie own a home and pay interest on their home loan (balance of $220,000) and a personal loan to pay for Lizzies college expenses (balance of $35,000).Neither Joe nor Jessie is blind or over age 65, and they plan to file as married-joint. Assume that the employer portion of the self-employment tax on Jessies income is $841. Joe and Jessie have summarized the income and expenses they expect to report this year as follows:Income:Joes salary$ 130,100Jessies craft sales18,500Interest from certificate of deposit1,750Interest from Treasury bond funds736Interest from municipal bond funds940Expenditures:Federal income tax withheld from Joes wages$ 13,700State income tax withheld from Joes wages6,600Social Security tax withheld from Joes wages7,522Real estate taxes on residence6,400Automobile licenses (based on weight)330State sales tax paid1,250Home mortgage interest17,000Interest on Masterdebt credit card2,500Medical expenses (unreimbursed)1,790Joes employee expenses (unreimbursed)2,600Cost of Jessies craft supplies5,360Postage for mailing crafts155Travel and lodging for craft shows2,330Self-employment tax on Jessies craft income1,682College tuition paid for Lizzie5,980Interest on loans to pay Lizzies tuition3,400Lizzies room and board at college12,820Cash contributions to the Red Cross575Comprehensive Problem 6-63 Par How did the success of the American Revolution affect the rest of the world?O A. Great Britain lost control over most of its colonial territories in Asia and Africa.O B. European imperial powers began aggressively seizing new territories in the Americas.O C. World leaders gave up their support for political ideas developed during the Enlightenment.O D. Citizens in many countries and colonies began demanding democratic governments. based on the properties of the word length effect, which list of words is likely to be recalled best?