E


Lisa wants to measure the height of a tree. She sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 38 ft from the tree, and
Lisa is standing 6.2 ft from the mirror, as shown in the figure. Her eyes are 6 ft above the ground. How tall is the tree? Round your answer to the nearest foot.
(The figure is not drawn to scale.)

Answer:

B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9

Step-by-step explanation:

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

1/4 or 25%

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:

15/20=0.75

0.75x100=75

100-75=25

Hope this helped

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

A function is defined as a relation between a set of inputs, each with an output. The sketch of the function f(x,y) = 9 - 9x² - y² is given below.

f(x,y) = 9 - 9x² - y²

Let the given function is equal to 0, Then

           9 - 9x² - y² = 0

                         y²  = 9 - 9x²

The function can be written as

                          y²  = 9 - 9x²

A function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input. Here's the technical definition of the function:

A relationship from a set of inputs to a set of possible outputs.

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

Answer:

y = 0x + 1

When x=0, y = 1

Step-by-step explanation:

Answer:

tree 1 is growing faster

Using the slope of a linear function, it is found that Tree 1 is growing faster.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem:

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Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer:

C is the correct answer

Step-by-step explanation:

slope  = Δy / Δx = (7 - 4) / (8 - (-4)) = 3/12 = 1/4

y intercept occurs where x = 0 so (0, 5) from the chart

The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

  |         |         |         |         |

60 |––––––––|––––––––|         |

  |         |         |         |         |

70 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

80 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

90 |––––––––|––––––––|         |

  |         |         |         |         |

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

    60       70        80        90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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Answer:

f(h(x)) = 2•(x²-1)² -4•(x²-1)

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

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Bob's main strategy is to uphold the terms of the contract, whereas Donna's dominant approach is to violate the terms of the contract.

A decision tree is a helpful tool to help envision the potential outcomes of a scenario when making decisions.

Think about the decision tree shown above, which relates to a collusive arrangement between businesses controlled by Bob and Donna.

Although neither party knows what the other will do, each member has the choice of abiding by the agreement's conditions or breaking them. The players are then faced with a dilemma in which they must choose whether or not to trust the other side.

In this scenario, Bob's main strategy is to uphold the terms of the contract, while Donna's dominant strategy is to violate the contract's provisions.

This is because Donna's strategy of cheating has a bigger payoff if Bob cheats, whereas Donna's approach of following the agreement has a higher payoff if Donna also follows the agreement.

Therefore, in order for Bob to maximize his potential benefit, he should choose to abide by the agreement, whereas Donna should choose to violate the agreement in order to maximize her prospective gain.

Due to the activities of both players, the result of this game is unpredictable. Both players will profit to the greatest extent feasible if they abide by the agreement.

The other player will lose out if one person decides to cheat because they will receive a greater payout.

Given the choice, Donna will probably opt to lie since she stands to earn more from doing so, while Bob will probably prefer to uphold the agreement because he will lose less if Donna lies.

In the end, the choices made by both players will determine how this game turns out. In order to maximize their prospective advantages, Bob and Donna must carefully weigh the gains and losses involved with adhering to or breaking the agreement.

While doing so will increase each player's potential gain, the game's outcome is still unpredictable. Bob and Donna must choose the approach that will serve their interests the best.

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Answer:

\( \tt{ \green{A} \orange{n} \red{s} \blue{w}e \pink{r} \purple{} \green{} \red{ } \red{} \blue{} \pink{} \purple{} \green{} \orange{} \purple{} }\)

\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)

The value of acceleration due to gravity is greater in terai than in mountain. In terai region the radius of earth is less as it lies close to the centre of the earth. Thus, the value of g is more in terai region.

\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)

Step-by-step explanation:

\( \pink{\boxed{{\colorbox{white}{- MsTiyana}}}}\)

# i hope it helps you

# mark me brainliest thank you

According to the question the probability that exactly one of the two customers is planning to hire someone else is 0.495, rounded to three decimal places.

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

We can solve this problem by using the binomial distribution, which models the probability of a certain number of successes in a fixed number of trials, where each trial has only two possible outcomes (success or failure) and the probability of success is the same for each trial.

In this case, we have a binomial distribution with n=2 (two customers) and p=0.55 (the probability that a customer plans to hire someone else). We want to find the probability that exactly one of the two customers is planning to hire someone else, which can happen in two ways: either the first customer plans to hire someone else and the second does not, or vice versa.

The probability of the first customer planning to hire someone else and the second not is:

P(1 hires, 2 does not) = p(1-p) = 0.55(1-0.55) = 0.2475

The probability of the first customer not hiring someone else and the second one hiring is the same:

P(1 does not hire, 2 hires) = (1-p)p = (1-0.55)0.55 = 0.2475

The probability of either of these two events happening is the sum of their probabilities:

P(exactly one hires) = P(1 hires, 2 does not) + P(1 does not hire, 2 hires) = 0.2475 + 0.2475 = 0.495

Therefore, the probability that exactly one of the two customers is planning to hire someone else is 0.495, rounded to three decimal places.

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B. squares due to error (SSE) is the correct option.

What is squares due to error (SSE)?

Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.

The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

5.14 is irrational

Step-by-step explanation:

This is irrational because it is a decimal and/or a fraction, and a rational number is a whole number such as 1, 7, 32.

Answer: 6

Step-by-step explanation: To solve we first start by adding like terms in our equation which is 30 + 54 = x(5+9) which becomes 84=x(14). Now we need to isolate the x variable by dividing both sides by 14.

x(14) ÷ 14 = x, 84 ÷ 14 = 6

This leaves us with the answer x = 6

Answer:

c

Step-by-step explanation:

at least means >=

n+17 >= 68

so n>=51

The average speed in laps per minute of Ryan is 2.5 laps per minute

From the question, we have the following parameters that can be used in our computation:

The above can be expressed as

(x, y) = (1, 5) and (3, 10)

The average speed in laps per minute can be calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Rewrite as

Average speed = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 5) and (3, 10)

Substitute the known values in the above equation

So, we have the following equation

Average speed = (10 - 5)/(3 - 1)

Evaluate

Average speed = 2.5

Hence, the average speed is 2.5

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Answer:

  220

Step-by-step explanation:

You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.

Subtracting each term from the next, we find the sequence of first differences to be ...

  5, 7, 13, 23, 37, 55

The first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.

The second differences are the differences of the sequence of first differences. They are ...

  2, 6, 10, 14, 18

The differences of the terms of the 2nd-difference sequence are constant: 4.

  4, 4, 4, 4, 4

Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.

Since we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.

  next 2nd difference = 18 +4 = 22

  next 1st difference = 55 +22 = 77

  next sequence term = 143 +77 = 220

The eighth term should be 220.

__

Additional comment

The n-th term is ...

  f(n) = 2/3n^3 -3n^2 +28/3n -4

The packet of 25 g of the same coffee costs 2.05 euros is the better value for money.

According to the question, the given homework progress marks is (28/44) in which 12 marks are less.

This problem can be simplified with the help of the simplification method.

As per question, the coffee cost for the 100 grams is written below:

100 g = 8.10 euros

Divide it by 4 to get 25 grams:

⇒ 25 g = 2.05 euros

Hence, the packet of 25 g of the same coffee costs 2.05 euros is the better value for money.

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

Step(i):-

Given that the mean of the sample = $81 k

Given that the size of the sample 'n' = 23

Given that the standard deviation for the salaries is $13 k

Step(ii):-

98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by

\((x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })\)

Degrees of freedom = n-1 = 23-1 =22

\(t_{0.02} = 2.5083\)

\((81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )\)

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

Final answer:-

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)