What is the value of (-14^0)^-2 a) 1/-196 b)1/196 c) 0 d) 1

Answers

Answer 1

From the given information provided, the value of the expression (-14⁰)⁻²

is 1 that is option d.

We need to follow the order of operations, which is to evaluate any exponents first, before performing any other operations.

Exponent rules are mathematical rules that describe how to simplify expressions that involve exponents.

(-14⁰)⁻² can be simplified as follows:

(-14⁰)⁻² = (-1)⁰ × 14⁰ × (-1)⁻² [Using the rule ([tex]a^m[/tex])ⁿ = [tex]a^(m*n)[/tex]]

(-14⁰)⁻² = 1 × 1 × 1/(-1)⁻² [Using the rule a⁰ = 1]

(-14⁰)⁻² = 1 × 1 × 1/1

(-14⁰)⁻² = 1

Therefore, the value of (-14⁰)⁻² is 1. Answer: d) 1

Learn more about exponent here: brainly.com/question/11975096

#SPJ4


Related Questions

if 2400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:

Answers

The value of the investment at the end of 10 years would be $3,905.76 if the interest rate is 5% per year and compounds annually.

The value of an investment after a certain number of years depends on several factors, including the initial amount invested, the interest rate, and the compounding frequency.

Assuming a fixed interest rate and compounding frequency, we can use the formula for compound interest to calculate the value of the investment after 10 years.

For example, if the interest rate is 5% per year and the investment compounds annually, the formula would be:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Plugging in the given values, we get:

A = 2400(1 + 0.05/1)^(1*10)

A = 2400(1.05)^10

A = 2400(1.6289)

A = $3,905.76

To learn more about investment click on,

https://brainly.com/question/29149070

#SPJ4

The function g(x) is shown on the graph.

The graph shows an upward opening parabola with a vertex at negative 3 comma negative 2, a point at negative 5 comma 2, and a point at negative 1 comma 2.

What is the equation of g(x) in vertex form?

g(x) = (x − 3)2 − 2
g(x) = (x − 3)2 + 2
g(x) = (x + 3)2 − 2
g(x) = (x + 3)2 + 2

Answers

The equation of g(x) in vertex form include the following: C. g(x) = (x + 3)² - 2.

What is the vertex form of a quadratic equation?

In this exercise, you are required to determine the vertex form of a quadratic function h(x) that is written in standard form. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

Based on the information provided about the graph of this quadratic function, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic function is given by:

y = a(x - h)² + k

y = (x - (-3))² + (-2)

y = g(x) = (x + 3)² - 2

Read more on vertex here: brainly.com/question/14946018

#SPJ1

nug

0.
Ryan checked out 3 books from the library: one mystery (M), one history book (H), and one biography (B). Which tree diagram shows all the possible orders in which Ryan can read the 3 books?





...

Answers

This tree diagram shows all possible orders in which Ryan can read the 3 books, including reading the mystery book (M) first, the history book (H) second, and the biography (B) last, as well as reading the biography first, the mystery second, and the history last.

What is mystery?

Mystery is an intriguing and often baffling phenomenon or situation. It is something that is not easily explained or understood and often involves a puzzle or secret that needs to be solved. It can be an event, an entity, or a situation that evokes curiosity, suspense, and a desire to uncover the truth. Mystery can be found in everyday life, literature, films, and other forms of entertainment. It is often used to create a sense of anticipation and wonder, and can be a powerful tool in storytelling. Mystery can also be used to explore deeper truths and to connect with our own inner mysteries.

To learn more about mystery
https://brainly.com/question/25734188
#SPJ1

Complete Question is attached below:

How long is each side of the box if the volume is 1,000,000?

Answers

Step-by-step explanation:

[tex]volume = {x}^{3 \\} \\ so \: 1000000 = {x}^{3 \\} \\ x = \sqrt[3]{1000000} \\ x = 100[/tex]

500k each side I think but I could be wrong

find value of 0 for which the statement is true. sin = cos (0 + 60°)

Answers

Answer:

KN bisects <K calculate MN

you have six bottles of paroxetine 10 mg in stock. the par level is four bottles, and the maximum quantity is ten bottles. how many bottles should be ordered?

Answers

The order quantity should be 4 bottles.

There are 6 bottles of paroxetine 10 mg in stock, and the par level is 4 bottles, while the maximum quantity is 10 bottles. The question is asking how many bottles should be ordered.

This can be found by calculating the difference between the current stock level and the par level and then adding this difference to the current stock level. If the result exceeds the maximum quantity, the order quantity is equal to the difference between the maximum quantity and the current stock level.

Otherwise, the order quantity is equal to the difference between the current stock level and the par level.In this case, the difference between the current stock level and the par level is 6 - 4 = 2 bottles. Adding this difference to the current stock level gives us a total of 6 + 2 = 8 bottles.

Since 8 is less than the maximum quantity of 10, the order quantity is 8 - 4 = 4 bottles. Therefore, 4 bottles should be ordered to maintain the par level of 4 bottles. Therefore, the order quantity should be 4 bottles.

To know more about Quantitative refer here :

https://brainly.com/question/15712531

#SPJ11

Solve the system of equations. \begin{aligned} &-4y+11x - 67=0 \\\\ &2y+5x-19=0 \end{aligned}


−4y+11x−67=0
2y+5x−19=0

Answers

The solution to the system of equations is x = 5 and y = -3.

We can use the elimination method by multiplying the second equation by 2 and adding it to the first equation to eliminate y:

= -4y + 11x - 67 + 2(2y + 5x - 19) = 0

-4y + 11x - 67 + 4y + 10x - 38 = 0

21x - 105 = 0

Dividing both sides by 21, we get:

x - 5 = 0

So x = 5.

Now we can substitute x = 5 into either of the original equations:

2y + 5x - 19 = 0

2y + 5(5) - 19 = 0

y = -3

Thus, the solution to the system of equations is:

x = 5, and y = -3.

To know more about Equation:

brainly.com/question/2228446

#SPJ4

Tammy said the product of 5/7
and 1 1/4
is 1 3/4
.

How can you tell that this answer is wrong?

Answers

Answer:

Step-by-step explanation:

To determine if Tammy's answer of 1 3/4 for the product of 5/7 and 1 1/4 is correct, we can perform the multiplication ourselves.

First, we need to convert 1 1/4 to an improper fraction:

1 1/4 = (4 x 1 + 1)/4 = 5/4

Then, we can multiply the fractions:

5/7 x 5/4 = 25/28

As we can see, 25/28 is not equal to 1 3/4. Therefore, Tammy's answer of 1 3/4 is incorrect. The correct answer is 25/28, which is an improper fraction. We can also express this as a mixed number: 0 25/28.


4. Alex wants to go Go Karting. There are two options for pricing:
i. $30 for 25 laps
or ii. $75 for 2 hours.
a) Convert each to UNIT RATES.

Answers

The statements when converted to unit rates are $1.20 per lap and $37.50 per hour

How to calculate the unit rates

To compare the pricing options, we can convert each to a unit rate, which is a rate with a denominator of 1.

This allows us to compare the cost of each option per lap or per hour.

i. $30 for 25 laps:

To find the unit rate, we can divide the total cost by the number of laps:

Unit rate = $30 ÷ 25 laps = $1.20 per lap.

ii. $75 for 2 hours:

To find the unit rate, we can divide the total cost by the number of hours:

Unit rate = $75 ÷ 2 hours = $37.50 per hour.

So, the unit rate for option i is $1.20 per lap and the unit rate for option ii is $37.50 per hour.

By comparing the unit rates, we can determine which pricing option is more cost-effective based on the number of laps or hours Alex wants to ride.

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

What is the value of k?
127.3°

Answers

It’s 52.7 because u have to do 180-127.3 since they are adjacent to each other

X-y=1/5 in slope-intercept form

Answers

The equation in slope- intercept form is y = x - 1/5

How to write the expression

It is important to note that the expression representing the equation of a line in slope- intercept form is written as;

y = mx + c

Such that the parameters are;

y is a point on the y - axis of the graph.m is the slope of the line.x is a point on the x - axis.c is the intercept on the y -axis of the graph.From the information given, we have;X-y=1/5

collect the variables and constants, we have;

- y = 1/5 - x

reconstruct the expression

- y = -x + 1/5

Divide both sides by the coefficient of y , we have;

y = x - 1/5

Learn about slope-intercept form at: https://brainly.com/question/1884491

#SPJ1

the shortest side of a triangle with angles 50o, 60o, and 70ohas length of 9 furlongs. what is the approximate length, in furlongs, of the longest side?

Answers

The longest side of a triangle with angles of 50°, 60°, and 70° and a length of 9 furlongs on the shortest side is approximately 12.2 furlongs.

What is the Law of Cosines?

             The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle are known (SAS) or the lengths of the three sides (SSS) are known.

         To calculate this, using the Law of Cosines formula,

  which is:


                [tex]c^2 = a^2 + b^2 - 2abcosC[/tex]

where c is the longest side, a is the shortest side, b is the other side of the triangle, and C is the angle

between a and b.

In this case, c = 12.2 furlongs,

                    a = 9 furlongs,

                    b is the side opposite the angle 70°, and C = 70°.

So the formula becomes:

        [tex]c^2 = 92 + b^2 - 2(9)(b)cos70^{o}[/tex]

Solving for b gives us b = 12.2 furlongs, which is the length of the longest side.

Learn more about triangles with the angle and length, of the longest side at: https://brainly.com/question/11011280

#SPJ11

Larger values of r^2
imply that the observations are more closely grouped about the:
a. average value of the independent variables.
b. average value of the dependent variable.
c. least-squares line.
d. origin.
e. None of the above answers is correct.

Answers

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

Learn more about Regression Line:

https://brainly.com/question/17004137

#SPJ4

Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

average value of the dependent variableoriginleast squares line (regression line)average value of the independent variables

At Rachel's 11th birthday party, 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the jumping would not affect their times, on average. Test their hypothesis at the 5% level. Relaxed time (seconds) Jumping time (seconds) 27 20 49 43 31 28 22 21 23 25 45 43 37 35 29 32 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the p-value? (Round your answer to four decimal places.)

Answers

The p-value is (0.0297)

To test the hypothesis that jumping does not affect the girls' breath-holding times, we will conduct a paired t-test using the given data. Here's a step-by-step explanation:

Solution:

1. Calculate the difference between relaxed and jumping times for each girl:
(27-20), (49-43), (31-28), (22-21), (23-25), (45-43), (37-35), (29-32)
The differences are: 7, 6, 3, 1, -2, 2, 2, -3

2. Compute the mean and standard deviation of the differences:
Mean = (7+6+3+1-2+2+2-3)/8 = 16/8 = 2
Standard Deviation = sqrt[((7-2)^2+(6-2)^2+(3-2)^2+(1-2)^2+(-2-2)^2+(2-2)^2+(2-2)^2+(-3-2)^2)/7] = sqrt(42/7) = sqrt(6)

3. Calculate the t-statistic:
t = (Mean - Hypothesized Mean) / (Standard Deviation / sqrt(N))
t = (2 - 0) / (sqrt(6) / sqrt(8)) = 2 / (sqrt(6) / 2.828) ≈ 2 / 0.748 ≈ 2.675

4. Determine the p-value using the t-distribution table or calculator for a two-tailed test with 7 degrees of freedom (N-1) at the 5% level:
The p-value is 0.0297 (rounded to four decimal places).

Since the p-value (0.0297) is less than the significance level of 0.05, we reject the null hypothesis that jumping does not affect the girls' breath-holding times, on average.

To know more about Hypothesis:

https://brainly.com/question/31319397

#SPJ11

Decide if each of the following is a minor arc, major arc, or semicircle by circling the correct answer .

Answers

Answer:

Step-by-step explanation:

minor, semi, minor, major   (in that order)

minor is smaller than a semi-circle while major is larger than a semi-circle.

Marissa needs 4 cups of olive oil to make a recipe if olive oil cost two dollars a cup how much money will she need to buy the olive oil

Answers

Marissa will need 4 cups of olive oil for a recipe. If olive oil costs two dollars per cup, she will need 4 x 2 = 8 dollars to buy the olive oil.

To make a recipe, Marissa needs 4 cups of olive oil. At a cost of $2 per cup, she would need to spend a total of 4 x $2 = $8 to buy the necessary amount of olive oil. This is a straightforward multiplication problem where the quantity of olive oil required is multiplied by the cost per cup. By using the multiplication operator, we can find the total cost needed to purchase the olive oil. Therefore, the total cost of the olive oil is directly proportional to the quantity of olive oil needed, with the cost per unit remaining constant at $2 per cup.

Learn more about arithmetic here: brainly.com/question/11559160

#SPJ4

a restaurant offers a special pizza with any 6 toppings. if the restaurant has 16 topping from which to choose, how many different special pizzas are possible?

Answers

To calculate the number of different special pizzas possible with any 6 toppings out of 16, we can use the combination formula:C(16,6) = 16! / (6! * (16-6)!) = (161514131211) / (654321) = 8008

there are 8,008 different special pizzas possible with any 6 toppings out of 16.

To calculate the number of different special pizzas possible with any 6 toppings out of 16, we need to use the combination formula, which is given by:

C(n, k) = n! / (k! * (n - k)!)

where n is the total number of items to choose from, and k is the number of items we want to choose.

In this case, n = 16 (the total number of toppings available), and k = 6 (the number of toppings we want to choose).

Plugging these values into the formula, we get:

C(16, 6) = 16! / (6! * (16 - 6)!)

= (16 * 15 * 14 * 13 * 12 * 11) / (6 * 5 * 4 * 3 * 2 * 1)

= 8008

Therefore, there are 8,008 different special pizzas possible with any 6 toppings out of 16.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

If you flipped a coin 550 times, how many times would you expect it to land on heads?

Answers

Answer:

275

Step-by-step explanation:

You have a 1 in 2 chance

550/2

275 times

at 3:25 p.m., two trains left kalamazoo, michigan. one train traveled westward at a constant rate of

Answers

When they are 111 miles apart, the current time is 4:10 p.m.

If the time taken for two trains to be apart by 111 miles by "t" time.

Then at that time, t, the train which is at 82 mph, should have traveled a distance of 82T miles.

d1 = 82t

At the same time, t, the train which is at 66 mph, should have traveled a distance of 66T miles.

d2= 66t

The total distance traveled by both trains is d1 + d2 = D

D = 82t + 66t

D = 148t

From the given data, D = 111

Hence, 148t = 111

Solving the equation, the time t

t = 111÷148

t = 0.75

Converting it into minutes,

t = 0.75*60

t = 45 mins.

The current time ( T ) = the time at which both the trains left ( t1 ) + 45 mins.

T = t1+t

T = 3:25 + 45 min.

T =4:10 pm

Therefore, the current time is 4:10 p.m

To know about Time traveled problems:

https://brainly.com/question/2854969

The complete question is-

At 3:25 p.m., two trains left Kalamazoo, Michigan. one train traveled westward at a constant rate of 82 miles per hour, while the other traveled eastward at a constant rate of 66 miles per hour. if they are now 111 miles apart, what time is it now? show your work on how you solved this situation.

AP Statistics Hypothesis Testing

The average amount of rainfall in the Amazon Rainforest for a year is recorded to be normally distributed with a
mean of 200 cm. Twelve regions in the Amazon Rainforest are randomly sampled. The total yearly rainfalls, in
centimeters, for these regions were reported as follows:

188 232 210 198 202. 193. 219. 202, 252, 156, 184, 222

Do this data provide sufficient evidence that the annual rainfall in the Amazon rainforest is different than 200 cm?

Answers

Therefore, based on this collection of data during a significance level of 0.05, there is insufficient proof to draw the conclusion that the average annual precipitation in the Amazonian rain forest is less than 200 cm.

What kind of hypothesis would you use?

Hypothesis The amount of pleasure increases with daily solar exposure. The presumed reason in this case and the factor that is independent is sun exposure. The expected impact, or dependent variable, is the degree of happiness.

To determine if the data provide sufficient that the annual rainfall in the Amazon rainforest is different than 200 cm, we can perform a hypothesis test with the following hypotheses:

Null hypothesis: The true mean annual rainfall in the Amazon rainforest is equal to 200 cm.

Alternative hypothesis: The true mean annual rainfall in the Amazon rainforest is different than 200 cm.

We can use a two-sided t-test with a significance level of 0.05 to test this hypothesis.

We must first determine the population mean and standard variation.

x = (188 + 232 + 210 + 198 + 202 + 193 + 219 + 202 + 252 + 156 + 184 + 222)/12 = 202.17 cm

Sample standard deviation, s = 26.770 cm

Next, we can calculate the t-statistic:

t = (x - μ) / (s / sqrt(n)) = (202.17 - 200) / (26.770 / sqrt(12)) = 0.491

Using a t-distribution table with 11 degrees of freedom (n-1), at a significance level of 0.05, we find the critical values to be ±2.201. Since the calculated t-statistic of 0.491 is within the range of -2.201 to 2.201, we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence to conclude that the annual rainfall in the Amazon rainforest is different than 200 cm based on this sample data at a significance level of 0.05.

To know more about Hypothesis visit:

https://brainly.com/question/25263462

#SPJ1

What is the solution to the system of equations?

A.(7,9)
B.(9,7)
C.(-5,11)
D(11,-5)

Answers

Answer:

Step-by-step explanation:

4x - 5y = -17

-4x - 24y = -244

-29y = -261

y = 9

x + 54 = 61

x = 7

(9,7) Option B

PLEASE HELP FOR 20 POINTS!
Which expression is equivalent to 1/2 x -1



A. 1/3(3/2 x -1)



B. 2/3(3/2 x - 3/2)



C. -2/3(3/2 - 3/4x)



D. -2/3(-3/4 x - 3/2

Answers

We can simplify the expression 1/2x - 1 by finding a common denominator for the two terms and combining them:

1/2x - 1 = 1/2x - 2/2
= (1/2)x - 1

So, the expression equivalent to 1/2x - 1 is (A) 1/3(3/2x - 1).

We can verify this by distributing the 1/3 to the expression inside the parentheses:

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

This is equivalent to the original expression (1/2)x - 1, so the answer is (A) 1/3(3/2x - 1).

Grace plans on going to the amusement park this Friday. It costs $10.00 to enter the park, and then $2.50 for every ride that Grace goes on. What will be the total cost if Grace goes on 7 rides?

Answers

Answer: 27.50

Step-by-step explanation: 2.50 X 7 =17.50 + 10 = 27.50

There are 10 horses in a race. In how many ways can thre first three positions of the order of the finsih occur assuming noties

Answers

There are 720 ways the first three positions of the order of finish can occur assuming no ties in a race with 10 horses.

To calculate the number of ways the first three positions can occur, we use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we are choosing.

In this case, we have 10 horses and we want to choose the first three positions, so we get:

10P3 = 10! / (10 - 3)! = 10! / 7! = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, there are 720 ways the first three positions of the order of finish can occur assuming no ties.

Learn more about Permutations:

https://brainly.com/question/1216161
#SPJ4

An office building casts a shadow that is 15 feet long. A nearby tree casts a showdown that is 2/5 feet long. If the tree is 5 feet tall how tall is the office building.

Answers

The height of the office building is 187.5 feet.

What are some other names for height?

It is typically measured horizontally along the X-axis. Height is defined as the distance between the bottom and top of an object. In Geometry, it is sometimes referred to as altitude.

Let's call the office building's height h. We can use a proportion to find h:

height of office building / length of shadow cast by office building = height of tree / length of shadow cast by tree

h / 15 = 5 / (2/5)

The right side of the equation can be simplified as follows:

5/(2/5) = 5 * 5/2 = 12.5

When we plug this into the proportion and solve for h, we get:

h / 15 = 5 / (2/5)

h / 15 = 12.5 \sh = 15 * 12.5 \sh = 187.5

As a result, the office building's height is 187.5 feet.

To know more about Height visit:

https://brainly.com/question/20594266

#SPJ1

What is p(8 or less than 7) write answer as a whole number

Answers

The expression "p(8 or less than 7)" suggests that we are looking for the probability of an event that satisfies one of two conditions: either the outcome is 8 or the outcome is less than 7. However, we need to know the specific probability distribution or situation in which this function p is being used to calculate a meaningful answer.

For example, if p represents the probability of rolling a certain number on a fair six-sided die, then p(8 or less than 7) would be 0, because 8 is not a possible outcome and all outcomes less than 7 are equally likely. However, if p represents the probability of a certain event occurring in a particular situation, then we would need more information about the nature of the event to calculate the probability.

Find out more about the probability distribution

brainly.com/question/14210034

#SPJ4

what is the smallest font size doug should use in the text on his slides? group of answer choices 20 points 24 points

Answers

The smallest font size that Doug should use in the text on his slides is 24 points.

The reason for this is that smaller font sizes can make the text difficult to read, especially from a distance.

According to industry standards, the recommended minimum font size for slide presentations is 24 points.

This is because smaller font sizes can be challenging to read, especially if the audience is sitting at the back of the room or if the slides are being viewed on a small screen.

While 20 points may seem like a reasonable font size, it's still small enough to make it difficult for some people to read the text.

Therefore, to ensure that all members of the audience can read the text on the slides, it's best to use a font size of at least 24 points.

In addition to using a larger font size, it's also essential to use a clear and legible font.

Sans-serif fonts such as Arial, Helvetica, or Calibri are recommended for presentations as they are easy to read, even from a distance.

It's also important to keep the contrast between the text and the background high to make it easier to read the text.

For similar question on font size.

https://brainly.com/question/27381149

#SPJ11

Find x and y to these two congruent triangles

Answers

Answer:

the whole is always 180 so take away the x and y and add up the remaining problems and whatever is left after that is your answer.

Step-by-step explanation:

from the position of the bus on the street, the l'arc de triomphe is at an angle of 34 degrees. if the arc is 162 feet tall, how far away is the bus? round to the nearest tenth.

Answers

The bus is approximately 373.8 feet away from the base of the l'Arc de Triomphe

To solve this problem, we can use trigonometry. Let's assume that the bus is at point A on the street, and the top of the l'Arc de Triomphe is at point B. The height of the arc is 162 feet.

We want to find the distance AB, which is the horizontal distance from the bus to the base of the arc. We know that the angle of elevation from the bus to the top of the arc is 34 degrees. Let's call the height of the bus H, and the distance AB D.

From the perspective of the bus, we can see that the height of the arc and the height of the bus together form a right triangle with angle of elevation 34 degrees. Therefore, we have:

tan(34) = (162 + H)/D

We can solve this equation for D:

D = (162 + H)/tan(34)

We need to find H to solve for D. To do this, we can use similar triangles. The triangle formed by the bus, the base of the arc, and the top of the arc is similar to the triangle formed by the bus, the ground, and the point directly beneath the top of the arc. Let's call the distance from the base of the arc to the point directly beneath the top of the arc x.

From the perspective of the bus, we can see that the height of the arc and the distance from the base of the arc to the point directly beneath the top of the arc together form a right triangle with angle of elevation 34 degrees. Therefore, we have:

tan(34) = 162/x

Solving for x, we get:

x = 162/tan(34)

Now, the height of the bus is simply H = x*tan(34). Substituting this into the equation for D, we get:

D = (162 + x*tan(34))/tan(34)

Substituting the value of x, we get:

D = (162 + (162/tan(34))*tan(34))/tan(34) = 373.8 feet (rounded to the nearest tenth)

Therefore, the bus is approximately 373.8 feet away from the base of the l'Arc de Triomphe.

Learn more about trigonometry

https://brainly.com/question/29002217

#SPJ4

Find the surface area of a rectangular prism

Answers

The surface area of this rectangular prism is equal to 68 mm².

How to calculate the surface area of a rectangular prism?

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

SA = 2(WH + LW + LH)

Where:

SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

By substituting the given parameters into the formula for the surface area of a rectangular prism, we have the following;

SA = 2(1 × 4 + 6 × 1 + 6 × 4)

SA = 2(4 + 6 + 24)

SA = 2(34)

SA = 68 mm².

Read more on surface area of a rectangular prism here: brainly.com/question/28185251

#SPJ1

Other Questions
Students with severe multiple disabilities are more likely to participate in alternate assessments than statewide standardized assessments.True or False What is the force on a 1 000 kilogram-elevator that is falling freely under the acceleration ofgravity only (9.8m/s)? in a marketing study, 100 consumers were asked to select the best digital music player from the ipod touch, sony walkman, and the zune hd. to summarize the consumer responses with a frequency table, how many classes would the frequency table have? a variation of sunni islam known for its strict teachings and literal interpretation of the koran is known as what 21+41/100 please help A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 27 seconds, complete parts below: stephanie's car was crushed by a falling tree in her driveway. which part of her automobile coverage will pay for her claim? A local store charges $1.97 per pound for bananas and $4.49 for a gallon of apple juice what is the cost of 1.5 lb of bananas and 1 gallon of apple juice you have one type of chocolate that sells for $2.50/lb and another type of chocolate that sells for $3.90/lb. you would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb. how much of each chocolate will you need to obtain the desired mixture? you need to have $30,000 in 20 years. you can earn an annual interest rate of 3 percent for the first 6 years, 3.6 percent for the next 5 years, and 4.3 percent for the final 9 years. how much do you have to deposit today? In 1981, a couple found a stray kitten whose unusual ears curled up and back from her head. They decided to breed her with their male cat who is homozygous for the allele for normal ears. The first litter of kittens produced two kittens with normal ears and two kittens with curled ears. Subsequent litters with the same parents showed the same ratio of curled ears to normal ears. When curled-ear offspring were mated with other curled-ear offspring, three-fourths of the kittens had curled ears and one-fourth had normal ears. This new trait was determined to be the result of a new and unique mutation in the ear gene of cats, and cats with this trait were named American curl cats.In American curl cats, the allele that produces the ear-curling trait is which?The allele that produces normal ears is which?DominantRecessivePage 120 true or false: it is mandatory for the actual use of a trademark to occur after the patent and trademark office (pto) registers the mark. what is x - 3 = 21? show your wok smith company balance sheet and selected income statement data assets: cash and marketable securities $300,000 accounts receivable 2,215,000 inventories 1,837,500 prepaid expenses 24,000 total current assets $3,286,500 fixed assets 2,700,000 less: accumulated depreciation 1,087,500 net fixed assets $1,612,500 total assets $4,899,000 liabilities: accounts payable $240,000 notes payable 825,000 accrued taxes 42,500 total current liabilities $1,107,000 long-term debt 975,000 owner's equity 2,817,000 total liabilities and owner's equity $4,899,000 net sales (all credit) $6,375,000 less: cost of goods sold 4,312,500 selling and administrative expense 1,387,500 depreciation expense 135,000 interest expense 127,000 earnings before taxes $412,500 income taxes 225,000 net income $187,500 common stock dividends $97,500 change in retained earnings $90,000 based on the information in table 1, the inventory turnover ratio is 2.35 times. 0.43 times. 3.47 times. 0.29 times. in 3 hours, the u.s. can produce 9 bottles of milk. in 7 hours, the u.s. can produce 28 barrels of oil. what is the opportunity cost of producing 1 barrel of oil (in terms of bottles of milk)? round your answer to two decimals. 2. Match the quadratic equation to it's answer. Round to the nearest tenth if necessary.1. 8x+9-3132. 32-25x-43 -1-5x^2= -3214. 3x-755. 2x-3=29a. x=5,-5b. x=8,-8c. X=1.2=-1.2d. x=6.2,-62E. X=4,-4 which corporate report discusses subjects that include environmental, health and safety, philanthropic and other social impacts Answer these question p2 true or false: the fight for indigenous civil rights ended immediately after the civil rights era of the 1960s-1970 Create your own document to write a letter back to MLK, Jr. Update him on Civil Rights in current times. (What is going on currrently, good or bad? Have things progressed or not enough?