But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all-made no impression on the man.
What can you infer about the man from the excerpt above?

Answer:

DL

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

3x+22+2x+8=180

5x+30=180

5x=150

x=30

3x+22

3(30)+22

90+22

112

Answer:

2.3+5.1-7x-3x

7.4-10x

Prove that triangles BDC, DFE, and FBA are congruent is the step that help prove that triangle FBD is equilateral.

The third step is correct.

If we can establish the congruence of these three triangles, we can infer that the corresponding sides are also congruent.

The following congruent sides would exist if triangles BDC, DFE, and FBA are congruent:

BD ≅ DC

DF ≅ FE

FB ≅ BA

Because  BD, DF, and FB are all congruent, triangle FBD would have three congruent sides, making it an equilateral triangle.

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Answer:

The step that will help prove that triangle FBD is equilateral is to prove that triangles BDC, DFE, and FBA are congruent. If we can establish the congruence of these three triangles, we can infer that the corresponding sides are also congruent.

For example, if we prove that triangle BDC is congruent to triangle DFE, then we can say that BD is congruent to DF, DC is congruent to FE, and BC is congruent to EF. Similarly, if we prove that triangle FBA is congruent to triangle DFE, then we can say that FB is congruent to DF, BA is congruent to FE, and FA is congruent to DE.

Since BD, DF, and FB are all congruent, triangle FBD would have three congruent sides, making it an equilateral triangle.

So, to summarize, proving the congruence of triangles BDC, DFE, and FBA will help prove that triangle FBD is equilateral.

Step-by-step explanation:

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

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

The angle m∠A will be 27. so option C is correct.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = 25.9979801

A = 26 degrees approximately

Therefore, the angle m∠A will be 27. so option C is correct.

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We are given a line segment in which the endpoint has coordinates (-3,1), and we are asked to find the tangent of the angle form by this line segment. If we graph the line segment we can see the following:

We have a triangle which an opposite side of 1 and an adjacent side of -3, and the definition of the tangent is the following:

Therefore, if we replace the values, we get;

therefore, the value of the tangent is -1/3 and not 3. The answer is:

Jenna is incorrect because the correct value of tan is -1/3

A small freezer costs $100,000 in cash and $139,360 by hire purchase.

Hire purchase refers to a payment system by which the purchaser of an item makes regular installment payments, which include finance charges.

Retailers require a downpayment or initial deposit to offer customers hire purchases.

The cash price of a small freezer = $100,000

Hire purchase costs:

Deposit (downpayment) = $62,560

Installment period = 24 months

Installment amount = $3,200

Total installment payments = $76,800 ($3,200 x 24)

The total cost under hire purchase = $139,360 ($62,560 + $76,800)

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It can be brought on hire purchase by depositing $62,560 and 24 monthly installments of $3,200.

Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

Answer:

for the 81st term of this arithmetic sequence is going to be -508

Step-by-step explanation:

From the first three term(a1, a2, a3) we can see the common difference is going to be -6, and we know the first term of the arithmetic sequence is -28,

and the general expression of a arithmetic sequence is going to be an=a1+d(n-1)

in this case is going to be an=-6n-22, replacing 81 we got a a81 is going to be -508

The slope of the normal line to the graph of f(x)=4x^2+2 at (1,6) is -8.

The derivative of f(x) is f'(x) = 8x, so f'(1) = 8. Therefore, the slope of the tangent line to the graph of f(x) at (1,6) is f'(1) = 8. The slope of the normal line to the graph of f(x) at (1,6) is then -1/f'(1) = -1/8.

Using the point-slope form of a line, the equation of the normal line to the graph of f(x) at (1,6) is y-6 = (-1/8)(x-1). Simplifying, we get y = (-1/8)x + 49/8. Therefore, the slope of the normal line to the graph of f(x) at (1,6) is -8.

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Work Shown:

\(b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 150^2 + 30^2 - 2*150*30*\cos(150)\\\\b^2 \approx 31194.22863406\\\\b \approx \sqrt{31194.22863406}\\\\b \approx 176.618879608211\\\\b \approx 176.6\\\\\)

Answer:

Step-by-step explanation:

\((7a+8b-9c)-(a+b+c)=(7a+8b-9c)-a-b-c=6a+7b-10c\)

Answer:

The 3rd choice you gave.

Step-by-step explanation:

A unit price has to have 1 in the denominator. So the 3rd choice is correct

I hope this helped! Sorry for answering so late

Answer:

The answer is (C)

Step-by-step explanation:

hope this helps :)

Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

The demand for NOVA education is considered inelastic as the decrease in enrollment was smaller than the increase in tuition.

To determine whether NOVA education is elastic or inelastic, we can examine the change in enrollment relative to the change in tuition. In this case, when the tuition increased from $200 per credit to $250 per credit, the enrollment declined from 50,000 to 40,000. If the percentage change in enrollment is greater than the percentage change in tuition, the demand for education is considered elastic. This indicates that the quantity demanded is sensitive to changes in price. Conversely, if the percentage change in enrollment is less than the percentage change in tuition, the demand is considered inelastic, meaning that the quantity demanded is not highly responsive to price changes.

Calculating the percentage change in tuition: (250 - 200) / 200 * 100% = 25%

Calculating the percentage change in enrollment: (40,000 - 50,000) / 50,000 * 100% = -20%

Since the percentage change in enrollment (-20%) is less than the percentage change in tuition (25%), we can conclude that NOVA education is inelastic. The decrease in enrollment suggests that the demand for education at NOVA is not highly sensitive to changes in tuition.

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Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

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1. The graphs and table that represent functions include the following: B, C, and E.

2. The set of ordered pairs that does not represent a function are:

A. {(-4, 9), (-4, 7), (1, -5), (7, -7)}.

C. {(-2, 0), (0, -2), (1, 1), (2, 0)}.

D. {(-5, 4), (-3, 4), (-1, 4), (2, 4)}.

In Mathematics and Geometry, a function is used for defining and representing the relationship that exists between two or more variables in a relation, table, ordered pairs, or graph.

Part 1.

Based on the given graphs and tables, we can logically deduce that the graph of a circle represent a relation because it does not have an inverse function. Also, tables D and F does not represent a function because the input values (domain) are not uniquely mapped to the output values (range).

Part 2.

Based on the given set of ordered pairs, we can logically deduce that only set A represent a function because the input values (domain) its uniquely mapped to the output values (range).

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If the Small helicopters weigh 2 pounds each and are shipped in a container that weighs 20 pounds. Large helicopters weigh 4 pounds apiece and are shipped in a container that weighs 10 pounds. then both containers can fit 10 small helicopters or 5 large helicopters.

           If these boxes can hold the same number of helicopters, all of the packed containers will have the same shipping weight. Therefore, the same number of helicopters will fit in either container. To calculate the number of helicopters that can fit in each container, divide the container weight by the weight of the helicopter.

For small helicopters: 20 lbs / 2 lbs = 10 helicopters

For large helicopters: 10 lbs / 4 lbs = 5 helicopters

              Therefore, both containers can fit 10 small helicopters or 5 large helicopters.

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Answer:It is not possible

Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.

Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

Answer:

A 25%

Step-by-step explanation

the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.

in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.

we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x

The probability that both grapes are green is 0.11

The probability that a green grape and a red grape is eaten is 0.24.

Probability is used to calculate the chances that an event would happen.  The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that both grapes are green = (number of green grapes / total number of grapes) x number of green grapes - 1 / total number of grapes- 1)

8/23 x 7/22 = 0.11

The probability that a green grape and a red grape is eaten = number of green grapes / total number of grapes)  x number of red grapes / total number of grapes - 1)

8/23 x 15/22 = 0.24

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Answer: 2 real zeros

Step-by-step explanation: In order to use the discriminant, we need to first declare the pieces that will be substituted into it. These are the coefficients of this quadratic equation:

A= 3

B=7

C=-8

Then, we need to substitute these into the expression B^2 - 4ac

and simplify the result. We aren't concerned with the exact value of this expression, but its sign. Whether this expression is positive, zero, or negative will give us the answer to this problem.

B^2 - 4ac = (7)^2 -4 (3)(-8)

= 47 + 96

= 145

This result is a positive number. When the discriminant of a quadratic equation is positive, it has two real solutions.

So, this function has two real zeros.

The given statement "– = If g(x) = x5, then lim lim g(x) – g(2) = 80. X - 2 x - 2" is False because the limit does not exist.

We have:

g(x) = \(x^5\)

g(2) = \(2^5\) = 32

We want to evaluate:

lim lim (g(x) - g(2))

x → 2 x - 2

Using algebra, we can rewrite the expression as:

lim lim \((x - 2)(x^4 + 2x^3 + 4x^2 + 8x + 16)\)

x → 2 x - 2

We can see that the denominator approaches 0 as x approaches 2, while the numerator approaches a nonzero value. Therefore, the limit does not exist, and the statement is false.

Note that we can also use L'Hôpital's rule to evaluate the limit, which gives the same result:

lim lim (g(x) - g(2))

x → 2 x - 2

= lim lim (\(5x^4\))

x → 2 1

= 80

However, this is incorrect, since L'Hôpital's rule can only be used if both the numerator and denominator approach 0 or infinity. In this case, only the denominator approaches 0, while the numerator approaches a nonzero value.

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The steps to solve the 3 linear equations with 2 variables is shown below .

In the question ,

it is asked that how can we find the solution of 3 linear equations that have 2 variables .

Step (1) : Pick any two pair of linear equations ,

Step(2) : Then use addition and subtraction to eliminate the Same Variable from the equations .

Step(3) : In step 2 we will get the value of 1 variable ,

Step(4) : Substituting the value of the variable in Step(2) in the third linear equation ,

we will get the value of other variable also .

Therefore , the value of both the variable can be found by the above steps .

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The expected value of the number of small aircraft arrivals during a 45-minute period is 45μ, and the standard deviation is √(45μ).

To find the expected value and standard deviation of the number of small aircraft that arrive during a 45-minute period, we need to know the average number of small aircraft arrivals per minute and the probability distribution of these arrivals.

Let's assume the average number of small aircraft arrivals per minute is μ. The expected value is then calculated by multiplying μ by the number of minutes in the period, which is 45. Therefore, the expected value is 45μ.

To calculate the standard deviation, we need to know the variance, which is denoted by \(\sigma^2\).

The standard deviation is the square root of the variance. In this case, the variance can be calculated by multiplying the average number of arrivals per minute, μ, by the number of minutes in the period, which is 45. So, the variance is 45μ.

Taking the square root of the variance gives us the standard deviation, which is √(45μ).

In conclusion, the expected value of the number of small aircraft arrivals during a 45-minute period is 45μ, and the standard deviation is √(45μ).

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Answer:

  1

Step-by-step explanation:

You want the standard deviation of a normal distribution.

The "standard normal distribution" is defined to have a mean of 0 and a standard deviation of 1.

__

Additional comment

The standard distribution is often shifted and scaled to have some other particular mean and standard deviation. The computation of a "Z-score" is a way to relate a value in the scaled distribution back to the characteristics of the standard normal distribution. The Z-score is the number of standard deviations a value is from the mean.

Answer:

False

Step-by-step explanation:

You can transform a function many times

:)