A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?

Answers

Answer 1
Answer: 256ft

Step by step explanation:
X/32= 32/4

Cross multiply:
4x= 32(32)
4x = 1024
X=256
= 256ft

Related Questions

I WILL GIVE BRAINLIEST FAST

Answers

Answer:

is opposite line BC. Answer is letter E.

Determine the measure of the interior angle at vertex C.

Answers

Answer:

The ANSWER is 18*3= 54

Step-by-step explanation:

total angle inside pentagon = 540 degrees so 3(8x)+2(3x)=540 and that is 30x=540

Answer:

C = 144

Step-by-step explanation:

A 5 sided figure has the interior angle sum of 540 degrees

8x+8x+8x+3x+3x = 540

Combine like terms

30x= 540

30x/30 = 540/30

x = 18

<C = 8*18 = 144

PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!


Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem.

Use the variable r to represent the speed of the slower cyclist. b. What are the speeds of the two cyclists? _______________

Answers

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

Which of the following shows the graph of y = 4^x + 3?

Answers

The images of the graphs are missing and so i have attached them.

Answer:

Graph in option A

Step-by-step explanation:

y = 4^(x) + 3

Let's input some values of x and find the corresponding value of y and see if any of the graph matches the coordinates we get.

At x = 0;

y = 4^(0) + 3

y = 4

At x = 1;

y = 4^(1) + 3

y = 7

At x = 2;

y = 4^(2) + 3

y = 19

Looking at all the graphs, the only one with y = 4 when x = 0 is graph A

Side CA of the right triangle CAT is 3cm long. The hypotenuse is 5cm long. How many
square centimeters is the area of CAT?

Answers

Answer:

8

Step-by-step explanation:

By taking the number "3" and plus together with the number 5

If one side of the triangle is 3 cm, and the hypotenuse is 5cm, then the other side is 4cm because of Pythagorean triples. Or you can use the Pythagorean theorem which is a^2+b^2=c^2. In this case, c=5, a=3. So it would be 9+b^2=25. b^2=16, and b=4. Then you find the area of the triangle. The formula for area of any triangle is height times base divided by two. (h times b)/2. So the height and the base are 3 and 4. 3 times 4=12, and 12 divided by 2 is 6.
So the area of CAT is 6 cm squared.

Which expression gives the best estimate of 30 percent of 61?

The answers are below:

Hurry, please!

Answers

Answer:

it would be 1/4(60)

Step-by-step explanation:

30 percent of 61 is 18.3 and 1/4 of 60 is 15 which is closest to 18.3

Help Me! Fake Answers will be reported.

How many triangles are there in this picture?

Answers

Im sorry if you get this wrong but im going with 14 only because i did this question with my class in school and a boy said 14 and got it right.

Answer:

28

Step-by-step explanation:

there are bigger triangles in the triangles pls dont remove

stuck on this problem​

Answers

Answer:

B

Step-by-step explanation:

When we reflect something across the y axis, the y axis stays the same but the x values change by a factor of -1.

B is the Answer

Answer:

c. switch the x-values and y-values in the table

Step-by-step explanation:

For any table or graph reflection over the line y=x

The rule is (x,y) ----> (y,x)

f(x) is reflected over the line y=x, so the coordinates of f(x) becomes

(-2,-31) becomes (-31,-2)

(-1,0) becomes (0,-1)

(1,2) becomes (2,1)

(2,33) becomes (33,2)

As per the rule, we switch the x-values and y-values in the table

For reflection over the line y=x , the coordinate becomes

(-31,-2)

(0,-1)

(2,1)

(33,2)

Directions: Find each missing measure

Answers

Answer:

Q9: x = 27, Q10: x = 17

Step-by-step explanation:

Write a rational function that meets the following criteria:

Vertical asymptote at x = 1

Horizontal asymptote at y = 2

and a hole at x = 3​

Answers

You can get a vertical asymptote at x=1 using y = 1/(x-1)
You can generate a hole at x=3 by multiplying by (x - 3/(x - 3) which is undefined at x=3 but otherwise equals 1
You can move the horizontal asymptote up to y=2 by adding 2

y = (x - 3)/((x - 1)(x - 3)) + 2

Golf Scores In a professional golf tournament the players participate in four rounds of golf and the player with the lowest score after all four rounds is the champion. How well does a player's performance in the first round of the tournament predict the final score

Answers

Answer:

Mean scores.

Step-by-step explanation:

The golf player will score in the first round, according to these scores the golf player scores can be predicted. The golf player can perform high in first round but he may score lesser in the second round due to stress or mental pressure. The scores can be predicted taking mean of the scores and adding standard deviation to it.

2.According to www.city-data, the mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000. Check the three assumptions associated with the Central Limit Theorem. What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009

Answers

Answer:

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000.

This means that [tex]\mu = 192723, \sigma = 42000[/tex]

Sample of 75:

This means that [tex]n = 75, s = \frac{42000}{\sqrt{75}}[/tex]

What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009?

1 subtracted by the p-value of Z when X = 190000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{190000 - 192723}{\frac{42000}{\sqrt{75}}}[/tex]

[tex]Z = -0.56[/tex]

[tex]Z = -0.56[/tex] has a p-value of 0.2877

1 - 0.2877 = 0.7123

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

Find domain of (x^2+3)+[tex]\sqrt{x} 3x-1[/tex]

Answers

Answer:

= x^2 + 3 + √3x^2 - 1

Step-by-step explanation:

Remove parentheses: (a) = a

= x^2 + 3 + √x . 3x - 1

x . 3x = 3x^2

= x^2 + 3 + √3x^2 - 1

Let T be the event that an adult admits to texting while driving and N be the event an adult does not admit to texting while driving. We previously determined
P(T) = 0.61
and
P(N) = 0.39.
Since three adults are chosen randomly, we have the following simple events.
TTT TTN TNT NTT TNN NTN NNT NNN
The adults were randomly selected, indicating these can be seen as independent events. Therefore, the multiplication rule can be used. Recall the multiplication rule states that for independent events, the probability that they all occur is the product of their respective probabilities. Let x be the number of adults who admit to texting while driving. Since three adults are randomly selected, then x can take on the values 0, 1, 2, or 3.
When x = 0, then no adult in the group of three admits to texting while driving. This corresponds to the simple event NNN whose probability is calculated as below.
P(x = 0) = P(NNN)
= P(N)P(N)P(N)
= 0.39(0.39)(0.39)
=
When x = 1, then only one adult in the group admits to texting while driving. This corresponds to the simple events TNN, NTN, and NNT. First, calculate the probability of each simple event by multiplying the individual probabilities. Then sum the three simple events to find
P(x = 1).
Calculate
P(x = 1).
P(x = 1) = P(TNN) + P(NTN) + P(NNT)
= P(T)P(N)P(N) + P(N)P(T)P(N) + P(N)P(N)P(T)
= 0.61(0.39)(0.39) + 0.39(0.61)(0.39) + 0.39(0.39)(0.61)
=
Find the remaining probabilities
P(x = 2)
and
P(x = 3).
P(x = 2) = P(TTN) + P(TNT) + P(NTT)
= P(T)P(T)P(N) + P(T)P(N)P(T) + P(N)P(T)P(T)
= 0.61(0.61)(0.39) + 0.61(0.39)(0.61) + 0.39(0.61)(0.61)
=
P(x = 3) = P(TTT)
= P(T)P(T)P(T)
= 0.61(0.61)(0.61)
=

Answers

Answer:

Step-by-step explanation:

X P(X=x)

0 0.39*0.39*0.39 = 0.059319

1 3*0.61*0.39*0.39 = 0.278343

2 3*0.61*0.61*0.39 = 0.435357

3 0.61*0.61*0.61 = 0.226981

Find the value of x in each case:

Answers

Answer:

36

Step-by-step explanation:

2x is an exterior angle

Exterior angles = the sum of the two remote (unconnected - non supplementary interior angles).

Put symbolically

<LEG = <EGF + <EFG

<EFG = 180 - 4x           In this case you need to find the supplemtnt

<LEG = x + 180 - 4x

2x = 180 - 3x                Add 3x to both sides

5x = 180                       Divide by 5

x = 36

Help me pls
I put the picture in the attach file below
(Sorry i'm in secondary school but i have a problem with my settings)

Answers

Step-by-step explanation:

0 is the ans my guy

dngjdjvkdkckgkdkgkskfkfkv

The sum of the angles of a triangle is 180. Find the three angles if one angle is twice the smallest angle and the third angle is 36 degrees greater than the smallest angle. Place them in order from least to greatest.

Answers

Answer:

36°, 72°, 72°

Step-by-step explanation:

The angles are x, y and z:

x = 2y, z = y + 36

Their sum is:

x + y + z = 1802y + y + y + 36 = 1804y = 144y = 36

Then find the other angles:

x = 2*36 = 72z = 36 + 36 = 72

Now we have to,

find the three angles if one angle is twice smallest angle and third angle is 36° greater than smallest angle.

Then take the values as,

→ smallest angle = x

→ y = 2x

→ z = x + 36°

Let we find the angles,

→ x + y + z = 180°

→ x + 2x + x + 36° = 180°

→ 4x = 180 - 36

→ 4x = 144

→ x = 144/4

→ [x = 36°]

Now the value of y is,

→ y = 2x

→ y = 2 × 36°

→ [y = 72°]

Then the value of z is,

→ z = x + 36°

→ z = 36° + 36°

→ [z = 72°]

Placing values from least to greatest,

→ 36°, 72°, 72°

Hence, the order is 36°, 72°, 72°.

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.

Y
p(x,y) 0 1 2
x 0 0.10 0.04 0.02
1 0.08 0.20 0.06
2 0.06 0.14 0.30

a. What is P(X = 1 and Y = 1)?
b. Compute P(X ≤ 1 and Y ≤ 1).
c. Give a word description of the event {X ≠ 0 and Y ≠ 0}, and compute the probability of this event.
d. Compute the marginal pmf of X and of Y. Using pX(x), what is P(X ≤ 1)?
e. Are X and Y independent rv’s? Explain.

Answers

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

we have the x values as 0,1,2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

we have y values as 0,1,2

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs. Select the correct description of the population in this study.

Answers

Complete Question

A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs. What is the numerical value of the sample mean?

Answer:

Sample Mean [tex]\=x=80[/tex]

Step-by-step explanation:

From the question we are told that:

Population Mean [tex]\mu=78[/tex]

Standard deviation [tex]\sigma=90[/tex]

Sample size [tex]n=120[/tex]

Sample Mean [tex]\=x=80[/tex]

Therefore

The numerical value of the sample mean is

Sample Mean [tex]\=x=80[/tex]

Determine how much simple interest you would earn on the following investment:
$13,400 invested at a 6/2 % interest rate for 4 years.

Answers

Answer:

How do you mean 6/2%? Clarify it for assistance

Answer:

Simple interest = $ 3,484.00

Step-by-step explanation:

I= P×R×T ÷ 100

The rate is 6 1/2 and I will use the decimal form 6.5,to change that to a whole number we simply move the decimal point one place behind.

Since we moved the decimal point in the numerator we need to do the same for the denominator.Therefore 100 becomes 1000.

13400 × 65 × 4    = $ 3,484.00

        1000

After a 13% price reduction, a boat sold for $25,230. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.) Group of answer choices

Answers

Answer:

The boat's price before the reduction was $ 29,000.

Step-by-step explanation:

Given that after a 13% price reduction, a boat sold for $ 25,230, to determine what was the boat's price before the reduction, the following calculation must be performed:

100 - 13 = 87

87 = 25230

100 = X

100 x 25 230/87 = X

2523000/87 = X

29000 = X

Therefore, the boat's price before the reduction was $ 29,000.

2 The product of two numbers is 5425. If one of them is 25. What is the other 2 number​

Answers

Answer:

217

Step-by-step explanation:

5425/25 = 217

What is the measure of e?

Answers

Answer:

[tex] \theta = 4~radians [/tex]

Step-by-step explanation:

[tex] s = \theta r [/tex]

[tex] 20~cm = \theta \times 5~cm [/tex]

[tex] \theta = 4~radians [/tex]

2.7.2 : Checkup - Practice Problems

Answers

the answer is 47 lol trust

Will give brainliest answer

Answers

Answer:

Below.

Step-by-step explanation:

log  10  ( 100 )  =  2

Answer:

First one: log_10 (100) = 2 OR log (100) = 2

Second one: 5^-3 = 1/125

Step-by-step explanation:

Let's say the formula for a basic exponent equation is this:

a = b^x

a is the answer when you calculate b^x

b is the base

x is the exponent

Here's the log formula using those variables:

log_b (a) = x

As long as you know how to rearrange the numbers/variables, you are good to go:

100 = 10^2

a = 100

b = 10

x = 2

log_10 (100) = 2

You can also write this one as log (100) = 2 because when you put log by itself, it's assumed that the base thing already equals 10.

log_5 (1/125) = -3

a = 1/125

b = 5

x = -3

5^-3 = 1/125

Hope it helps (●'◡'●)

Suppose y varies inversely with X, and y = 36 when x = 1/12. What inverse variation equation relates x and y?
NO LINKS OR ANSWERING YOU DON'T KNOW!!!

a. y= 3x
b. y= 3/x
c. x/3
d. y= x​

Answers

Answer:

B

Step-by-step explanation:

We are given that y varies inversely with x. Recall that inverse variation has the form:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of variation.

We are given that y = 36 when x = 1/12. Thus:

[tex]\displaystyle (36)=\frac{k}{\left({}^{1}\!/\!{}_{12}\right)}[/tex]

Solve for k. Multiply both sides by 1/12:

[tex]\displaystyle k=\frac{1}{12}(36)=3[/tex]

Hence, our equation is:

[tex]\displaystyle y=\frac{3}{x}[/tex]

Our answer is B.

Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50. The distribution has a standard deviation of 10 and is normally distributed. Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale

Answers

Answer:

The percentage of people that could be expected to score the same as Matthew or higher on this scale is:

= 93.3%.

Step-by-step explanation:

a) Data and Calculations:

Mean score on the scale, μ = 50

Distribution's standard deviation, σ = 10

Matthew scores, x = 65

Calculating the Z-score:

Z-score = (x – μ) / σ

= (65-50)/10

= 1.5

The probability based on a Z-score of 1.5 is 0.93319

Therefore, the percentage of people that could be expected to score the same as Matthew or higher on this scale is 93.3%.

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.05 level to support the company's claim

Answers

Answer:

The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use.

At the null hypothesis, we test if the proportion is of 47% or less, that is:

[tex]H_0: p \leq 0.47[/tex]

At the alternative hypothesis, we test if the proportion is of more than 47%, that is:

[tex]H_1: p > 0.47[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.47 is tested at the null hypothesis:

This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.

This means that [tex]n = 1300, X = 0.5[/tex]

Value of the statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]

[tex]z = 2.17[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.5, which is 1 subtracted by the p-value of z = 2.17.

Looking at the z-table, z = 2.17 has a p-value of 0.9850

1 - 0.985 = 0.015

The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.

what is the value of x

Answers

FOR Y
opposite angles - equal
angles in a quadrilateral are 360 degrees
68 + 68 = 136
360 - 136 = 224
224/2 = 112 degrees
angles on a straight line = 180 degrees
180 - 112 = 68
Y = 68
FOR X
angles on a straight line are 180 degrees
180 - 68 = 112 degrees
X=112 degrees

Jason planted and staked a tree. The stakes are 21 ft from the base of the tree. They are connected to wires that attach to the trunk at a height of 20 ft. Find the length of a wire.

14 ft
15 ft
20 ft
29 ft

Answers

Based on the height that the wires attach, and the base length of the stakes, the length of the wire is 29 ft.

How long are the wires?

This can be solved with the Pythagorean theorem because the height can be treated as the height of a right-angled triangle. The base as the base of the triangle.

The length of the wire is the hypothenuse.

Length:
c² = a² + b²

c² = 21² + 20²

c² = 841

c = √841

= 29 ft

Find out more on the Pythagorean theorem at https://brainly.com/question/343682.

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tatiana tarasoff was killed by prosenjit poddar, a graduate student at the university of california. tatiant's parents sued; the case was heard by the supreme court of california. the tarasoff case is important because The mean output of a certain type of amplifier is 102102 watts with a standard deviation of 1212 watts. If 6363 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by greater than 3.43.4 watts ASAP 10 POINTS Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90 clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment? Is {3,} a defined set sort out electric current as fundamental or derived unit. it is observed that respect for older adults is greater in Who is the President of Nepal ? (2021) The following happened in a recent M&A transaction: PP&E of the target company was increased from its original book basis of $650 million to $800 million to reflect fair market value for book purposes in accordance with the purchase method of accounting. No "step-up" for tax purposes Original tax basis of $650 million Assuming a corporate tax rate of 35%, for book purposes, the company should record the following: A. A deferred tax liability equal to $280 million B. A deferred tax asset equal to $280 million C. A deferred tax liability equal to $52.5 million D. A deferred tax asset equal to $52.5 million 10. In a group of 50 people, there are two types of professionals, engineers and managers. If 36 of them are engineers and 24 of them are managers, how many persons are both managers and engineers? Jot down some points how you inspire a bad friend to be a good friend 5 condiciones necesarias para desarollar la empata M Corporation has provided the following data concerning an investment project that it is considering: Initial investment $230,000 Annual cash flow $132,000 per year Expected life of the project 4 years The net present value of the project is closest to:____.a. $250,000.b. $144,128.c. $(131,000).d. $(144,128). Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10 inch stone so there will be one more of the 10 inch stones than of 5inch stones. His patio will be 130 inches wide. How many 10 inch stones will Wesley need for one row? 3. Once you have successfully complete all the procedures, requirements, and examinations for a license, you will be issued a temporary (paper) license which will permit you to operate a motor vehicle for a period of ________, or until your actual license has been issued or refused. Ayayai Corporation reported net cash provided by operating activities of $345,000, net cash used by investing activities of $145,000, and net cash provided by financing activities of $75,000. In addition, cash spent for capital assets during the period was $200,000. No dividends were paid. Calculate free cash flow. A. Find xB. Find the measure of angle b C. Find the measure of angle c what is the speaker attitude toward war ?( the gift in war time) What is the product of the fractions below? Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook? You have two microservices that need to communicate with each other without holding up a thread on either end. One service will receive an ID and return a message once the job is complete.Which communication framework should be used?A.) Have a shared database that allows bothapplications to read and write to the tables to share the data instead of having to communicateB.) Use asynchronous messaging to send and receive messages between each microserviceC.) Abandon the microservice architecture so no interaction is neededD.) Create a third service to handle the interaction between the servicesE.) Use a RESTful architecture for both, send the ID through a POST, and ping the service with a GET until a response is available