Choose the function whose graph is given by:
IN
OA. y = sec(x) +2
B. y = sec (2x)
OC. y = 2sec(-x)
OD. y = 2csc(-x)
12s
J
35+

Choose The Function Whose Graph Is Given By:INOA. Y = Sec(x) +2B. Y = Sec (2x)OC. Y = 2sec(-x)OD. Y =

Answers

Answer 1

Answer:

C

Step-by-step explanation:

If you start by picking a point to plug in you can check easily to see what works.

Lets start with x=pi. If we plug that into all the answer choices,

A. sec(pi/2)+2 = does not exist

B. 1/2sec(2pi) = 1/2

C. 2sec(pi/2) = does not exist

D. 2csc(pi/2) = 1

So, since at pi there is a vertical asymptote it should not exist. So, A or C.

Then pick x = 0, y must be 2.

A. sec(0) +2 = 1+2 = 3

C. 2sec(0) = 2

So, C must be the answer.


Related Questions

Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If​ women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 ​lb, what percentage of women have weights that are within those​ limits

Answers

The percentage of women with weights that are within the limits is:

60.93%

What percentage of women have weights that are within those​ limits?

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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if you have to go to school 3 days from tuesday what day will you go back to school

Answers

Answer:

Three days from Tuesday is Friday.

a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.

Answers

If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

What is Histogram?

Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

Given is relative frequency histogram.

The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

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Completely factor the polynomial 2x³ + 54

Answers

Answer:

Step-by-step explanation:

2x³+54=2(x³+27)=2(x³+3³)

a³+b³=(a+b)(a²-ab+b²)

complete it

7. According to new research in 2021, Puerto Rican Reggaeton star Bad Bunny again took the title of
most-streamed artist in the world on Spotify. He received over 9.1 billion streams (9, 100, 000, 000)
without releasing a new album last year.
Use this number of streams with your equation to calculate how much money Bad Bunny may have
made via Spotify. (Worlds Most Streamed Songs (Spotify), 2021)

Answers

The requried, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As of 2021, Spotify's average payout per stream is about $0.0038, which means that an artist earns approximately 0.38 cents per stream.

So, to calculate Bad Bunny's potential earnings from 9.1 billion streams on Spotify, we can use the following equation:

Earnings = Number of Streams x Payout per Stream

Earnings = 9,100,000,000 x $0.0038

Earnings = $34,580,000

Therefore, based on this rough estimate, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021. It's important to note that this is just an estimate and that the actual amount he earned could be higher or lower depending on the factors mentioned earlier.

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In a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments. The following information is provided.
SSTR = 400 (Sum Square Between Treatments)
SST = 700 (Total Sum Square)
The mean square within treatments (MSE) is _____.
a. 5 b. 400 c. 80 d. 300

Answers

The mean square within treatments (MSE) is 5 when in  a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments.

What is mean?

Mean is a measure of central tendency which represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing the sum by the total number of values in the set.

Here,

To find the mean square within treatments (MSE), we need to use the formula:

MSE = SSE / df

where SSE is the sum of squares within treatments and df is the degrees of freedom within treatments.

Since we are given SSTR and SST, we can find SSE using the formula:

SSE = SST - SSTR

Substituting the given values, we get:

SSE = 700 - 400 = 300

The total number of observations is:

n = 6 treatments × 11 observations/treatment = 66 observations

The degrees of freedom within treatments is:

df = n - number of treatments = 66 - 6 = 60

Therefore, the mean square within treatments is:

MSE = SSE / df

= 300 / 60

= 5

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Arrange the following fractions in descending order; 2/3, 3/4, 1/6, 5/12​

Answers

Answer: 3/4, 2/3, 5/12, 1/6

Explanation:
2/3 = 0.667
3/4 = 0.750
1/6 = 0.167
5/12 = 0.417

Descending = greatest to least so:

0.750 > 0.667 > 0.417 > 0.167
3/4 > 2/3 > 5/12 > 1/6

Consider the parabola given by the equation:
f
(
x
)
=
4
x
2
+
8
x

1


Find the following for this parabola:

A) The vertex:


B) The vertical intercept is the point


C) Find the coordinates of the two
x
intercepts of the parabola and write them as a list, separated by commas:

It is OK to round your value(s) to to two decimal places.

Answers

The value following are

vertex: (6, -9)

y-intercept: (0, 27)

X = 3, 9

Finding Vertex (Part A)

Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.

[tex]y = 1x^2 - 12x + 27[/tex]

a = 1

b= -12

c =27

-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)

When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.

[tex]y = 1(6)^2 - 12(6) + 27[/tex]

y = 36 - 72 + 27 = -9 (y-coordinate of vertex)

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

Y- Intercept (Part B)

When looking for the y-intercept your "x" must always be 0.

Substitute 0 in every "x" in the equation.

y =[tex]1(0)^2 - 12(0) + 27[/tex]

y = 27

y-intercept: (0, 27)

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

X- Intercepts (Part C)

To find the values of the "x" factor.

[tex]y = 1x^2[/tex] - 12x + 27

[tex]0 = 1x^2[/tex] - 12x + 27

0 = (x  - 3     )(x   -  9 )

(x-3) = 0             (x-9) = 0

x = 3                    x = 9

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The population of a city increases by 0.5% per year. If this year's population is 201,000, what will next year's population be, to the nearest individual?

Answers

Next year's population is 202,005

How to calculate the quantity of next year's population?

The population of a city increases by 0.5% per year

This year's population is 201,000

Next year's population can be calculated as follows

201,000 × 0.5/100

= 201,000 × 0.005+1

= 201,000 × 1.005

= 202,005

Hence next year's population is 202,005

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A regular pentagon has an area of 118.25 square meters, and each side of the pentagon measures 4.3 meters.
What is the length of an apothem of the pentagon?
Enter your answer in the box.
m

Answers

The length of the apothem of the pentagon is approximately 11 meters.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc.

Here, we have,

To solve this problem, we can use the formula for the area of a regular pentagon:

A = (5/2) × s × a

Where A is the area of the pentagon, s is the length of one side, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

We know that the area of the pentagon is 118.25 square meters and the length of one side is 4.3 meters. We can substitute these values into the formula and solve for the apothem:

118.25 = (5/2) × 4.3 × a

Divide both sides by (5/2) x 4.3:

a = 118.25 / ((5/2) × 4.3)

 = 118.25 / 10.75 ≈ 11 meters

Therefore, the length of the apothem of the pentagon is approximately 11 meters.

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If f(1)=9f and f(n)=−2f(n−1)−1 then find the value of f(4)

Answers

Answer:

f(4)= 36

f(4) = 7n-7

Step-by-step explanation:

f(4)= 9(4)

36= f(4)

f(4) = - 2(4)(n-1)-1

8(n-1) - 1

7 (n-1)

7n-7 = f(4)

A circular device has a diameter of 4.5 inches. What is the radius of the device?

Answers

Answer:

              Hello there! If the circular device has a diameter of 4.5 inches, the radius of the device would be 2.25 inches.

Step-by-step explanation:

              The diameter of the circle is a line segment that not only passes through the center of the circle, but also has endpoints that are on the circle and opposite sides to each other. The radius, on the other hand, is half the distance of the diameter, or the distance from any point on the circle to the center of the circle. I've attached a picture below to show you what that would look like, if you're a visual learner.

             Since we know the diameter of the circular device is 4.5 inches, and we know that the radius of a circle is half the length of the diameter of that same circle, that means the radius of the circular device would be [tex]\frac{4.5}{2}[/tex] or 2.25 inches long.

Have a great day! Feel free to let me know if you have any more questions :)

Write a PYTHON program that:
1) Asks the user to input a sequence of comma separated numbers, e.g., 4,6,7,454,78 (no space in between)
2) Transforms the input string into a list using the function split(). For example, userstr.split(',') will split the string userstr at each ',' and return a list of separated items.
3) Checks whether the user input is all-digit (use .isdigit() function). If yes, go to next step; if not, let the user try until they get it right.
4) Converts all items in the list into integer
5) Adds all numbers together and return the sum.

Answers

Answer:

while True:

   user_input = input("Please enter a sequence of comma-separated numbers: ")

   if user_input.replace(",", "").isdigit():

       break

   print("Invalid input! Please try again.")

num_list = user_input.split(",")

num_list = [int(num) for num in num_list]

total_sum = sum(num_list)

print("The sum of the numbers is:", total_sum)

Step-by-step explanation:

This program uses a while loop to repeatedly ask the user for input until they provide a valid sequence of comma-separated numbers (all-digit input). The .isdigit() function is used to check if the input is all-digit. If the input is valid, the program splits the input string at each ',' using the .split() function, converts each item in the resulting list into an integer using list comprehension, then adds all numbers together using the sum() function. Finally, the program outputs the total sum.

g(-9)=
Evaluate the function

Answers

From the graph, the value of the function g(-9) is 1

Evaluating a function from the graph

From the question, we are to evaluate the function using the given information from the graph.

The given function is g(-9)

To evaluate the function, g(-9), from the graph, we will locate the point where x = -9 on the cartesian plane and then we will trace the point straight to the function graph. From the point on the function graph, we will read the value on the y-coordinate of the point by tracing a straight line to the y-axis.

From the graph,

The value of g(-9) is 1

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A factory selling cell phones has a marginal cost function C(x)=0.01x2−3x+229, where x represents the number of cellphones, and a marginal revenue function given by R(x)=429−2x. Find the area between the graphs of these curves and x =0. What does this area represent?

Answers

The area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 is 492097.4 square

units.

What is function?

A function is a relation between a dependent and a independent variable. Mathematically we can write the function as -

y = f(x)

Given is that a factory selling cell phones has a marginal cost function C(x) = 0.01x² - 3x + 229, where {x} represents the number of cellphones, and a marginal revenue function given by R(x) = 429 - 2x.

We can write the area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 as -

Area = ∫C(x) dx  +  ∫{C(x) - R(x)} dx

We can write the area with limits as -

Area =

∫(0.01x² - 3x + 229) dx             {limits from 229 to 429}

+

∫(0.01x² - 3x + 229 - 429 + 2x) dx       {limits from 429 to 629}

Area = 71548.7 + 420548.7

Area = 492097.4 square units

Therefore, the area between -

C{x} = 0.01x² - 3x + 229, R{x} = 429 - 2x and {x} = 0 is 492097.4 square

units.

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Plot the following points in the Cartesian plane.

{(3,6),(−8,2),(−9,−4),(2,−8)}

Answers

What is cartesian plane ?

A Cartesian plane (also known as a coordinate plane or rectangular coordinate system) is a two-dimensional plane formed by two perpendicular number lines, referred to as the x-axis and the y-axis, that intersect at a point called the origin. The x-axis is a horizontal line, and the y-axis is a vertical line.

Explanation:
To plot the following points in the Cartesian plane:

{(3,6),(-8,2),(-9,-4),(2,-8)}

First, we draw the x and y axes to form a Cartesian plane.

Then, for each point, we plot the x and y coordinates on the graph. The x coordinate indicates the horizontal position of the point on the x-axis, while the y coordinate indicates the vertical position of the point on the y-axis.

The point (3,6) is plotted as a dot on the Cartesian plane located 3 units to the right of the origin on the x-axis and 6 units above the origin on the y-axis.

The point (-8,2) is plotted as a dot located 8 units to the left of the origin on the x-axis and 2 units above the origin on the y-axis.

The point (-9,-4) is plotted as a dot located 9 units to the left of the origin on the x-axis and 4 units below the origin on the y-axis.

The point (2,-8) is plotted as a dot located 2 units to the right of the origin on the x-axis and 8 units below the origin on the y-axis.

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is 5 yards and 2 feet greater than 200 in

Answers

Yes it is there is 180 inches in 5 yards and in 1 feet there are 12 inches. 12+12=24+180=204
So yes

what is the solution to the equation

Answers

The requried solution of the two linear equations is given as x = (b - d)/a-c and y = a (d - c)/(a-c).

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

The question seems to be incomplete so the solution is a standard solution by assuming a standard linear equation.

The given equation,
ax + y = b - - - - - (1)
cx + y = d - - - - -(2)

Subtract equation 2 from 1
ax - cx + y - y = b - d

x(a - c) =  b - d
x = b - d / a - c

Now,
Put x in equation 1
a (b - d) / (a - c) + y = b
y = b - a(b - d)/(a - c)
y = ab - ac -ab + ad/(a - c)
y = a (d - c)/(a - c)

Thus, the requried solution of the two linear equation are given as x = (b - d)/a-c and y = a (d - c)/(a - c).

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The question seems to be incomplete,
The solution given is standard solution for the simultaneous equations.

if a student is randomly chosen, find the probability that the student is male or earned grade a. leave your answer as a reduced fraction.

Answers

The expression to obtain the final probability as a reduced fraction.

What is fraction?

A fraction is a mathematical representation of a part of a whole or a part of a group. It consists of two numbers separated by a horizontal line, where the number on the top is called the numerator, and the number at the bottom is called the denominator. The numerator represents how many parts are being considered, and the denominator represents the total number of equal parts that make up the whole or group. Fractions can be written in various forms, such as proper fractions, improper fractions, and mixed numbers, and can be added, subtracted, multiplied, and divided using specific rules and techniques.

We cannot provide a specific numerical answer without more information on the gender and grade distribution of the students. However, we can use the following formula to calculate the probability that a student is either male or earned grade A:

P (male or grade A) = P(male) + P (grade A) - P (male and grade A)

The probability of selecting a male student and the probability of selecting a student who earned a grade A are two independent events, so we can add their probabilities. However, we need to subtract the probability of selecting a male student who also earned a grade A, since we don't want to count that student twice.

If we have the probabilities of each event, we can plug them into the formula and simplify the expression to obtain the final probability as a reduced fraction.

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The rim of the volcanic crater shown below is a circle. The diameter is 620 m. What is the circumference of the rim of the crater in kilometres (km)? ​

Answers

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, d is the diameter, and π is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the crater is given as 620 m, so we can use the formula to find the circumference:

C = πd
C = π(620 m)
C ≈ 1946.95 m

However, the question asks for the circumference in kilometers, so we need to convert the answer to kilometers by dividing by 1000:

C ≈ 1946.95 m ÷ 1000 m/km
C ≈ 1.947 km

Therefore, the circumference of the rim of the crater is approximately 1.947 km.



Please brainliest I spend so much doing it

Fill in the blanks:
1) if tan x=0, then tan(-x)= ___
2) If sin x= 0.3, then sin(-x)= ____
3) If cos x= 0.3, then cos(-x)= ____
4) If tan x= -2, the tan (pi+x)= ____

Answers

The values are :

tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2

What is trigonometry ?

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and the trigonometric functions such as sine, cosine, and tangent. It is based on the study of the geometric properties of triangles and is used extensively in fields such as physics, engineering, architecture, and astronomy.

In trigonometry, the relationships between the sides and angles of a triangle are expressed using the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios between the sides of a right triangle, where one angle is 90 degrees. Trigonometric functions can also be defined for any angle, not just those in a right triangle, using the unit circle or other methods.

Trigonometry has many practical applications, such as in navigation, surveying, and the design of structures such as bridges and buildings. It is also used extensively in science and engineering, particularly in fields such as physics, mechanics, and electromagnetics.

If tan x = 0, then tan(-x) = 0.

The tangent function is an odd function, which means that tan(-x) = -tan(x). However, since tan x = 0, this means that -tan(x) = 0 as well. Therefore, tan(-x) = 0.

If sin x = 0.3, then sin(-x) = -0.3.

The sine function is an odd function, which means that sin(-x) = -sin(x). Since sin x = 0.3, this means that -sin(x) = -0.3. Therefore, sin(-x) = -0.3.

If cos x = 0.3, then cos(-x) = 0.3.

The cosine function is an even function, which means that cos(-x) = cos(x). Since cos x = 0.3, this means that cos(-x) = 0.3 as well.

If tan x = -2, then tan(pi+x) = tan(pi + atan(-2)) = tan(2.0344 + pi) = -2.

To find tan(pi + x), we need to use the identity tan(a + pi) = -tan(a). In this case, a = atan(-2), which is the inverse tangent of -2. Using a calculator or a table, we can find that a is approximately 2.0344 radians. Therefore, tan(pi + x) = -tan(2.0344) = -(-2) = 2.

Hence, values are

tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2

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Pippin went to a game room that charged $4 admission, plus $0. 25 per token. The equation which represents his total cost is y = 0. 25x + 4. What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?.

Answers

Answer:

5 = $ 5.25.    10= $ 6.50.   20= $9.00

Step-by-step explanation:

if this is wrong you can completely write me a really rude email or message or something

The stem and leaf plot shows the number of laps around a track
that several teams walked as part of a fund-raiser for the library.
The teams that walked more than 50 laps raised an extra $100 for
the library.

What fraction of the teams raised this extra money?

Answers

The fraction of the teams that raised the extra money, given the number of teams laps needed to be walked, is D.  1 / 3

How to find the fraction ?

To find the fraction of teams that raised the extra money, you need to count the number of teams who were able to walk more than 50 laps. The number of teams who walked more than 50 laps walked:

53, 63, 63, and 65 miles so 4 teams did so.

The total number of teams is the number of leafs which is 12 teams.

The fraction of teams who raised the extra money is :

= 4 teams / 12 total teams

= ( 4 ÷ 4 ) / ( 12 ÷ 4 )

= 1 / 3

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When testing for current in a cable with 10 ​color-coded wires, the author used a meter to test 2 wires at a time. How many different tests are required for every possible pairing of 2 ​wires?

Answers

what is combination ?
In mathematics, a combination is a way of selecting items from a collection, such that the order of selection does not matter. The combination formula gives the total number of ways to choose k items from a set of n distinct items without regard to the order in which they are chosen.

The combination formula is given by:

n choose k = n! / (k! * (n-k)!)

Explanation:
If we have 10 color-coded wires, we can choose 2 wires out of them in (10 choose 2) ways.

(10 choose 2) is a combination formula given by:

(10 choose 2) = 10! / (2! * (10-2)!)

= (10 * 9) / 2

= 45

This means that we need to perform 45 tests to cover all possible pairings of 2 wires from 10 color-coded wires.

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Write an equation for the word problem below

Sarah is renting a water filtration system from her water company. It has a startup fee of $36 plus $6 per month. If Sarah has a budget of $300, how many months can she rent the system?

Answers

Answer:

The Equation is (300-36)÷6.

Step-by-step explanation:

$300-$36=$264 (The budget after paying the set up fee)

$264/6=44 months. That's how many months she can rent.

So the equation would be (300-36)÷6.

(Sorry if this is wrong!)

A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13


Least Squares | Standard | T

Parameter | Estimate | Error | Statistic| P-Value

Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396

Slope | 120.689 | 11.8442 | 10.1898 | 0.0000


a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?


b) Interpret the slope of the regression equation (In the context of question)?


c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?


d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.

Answers

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Find the number of years necessary for an investment to double at each of these rates of simple interest. Round to the nearest tenth if necessary.
Interest Rate: 11%

Answers

It would take approximately 6.5 years for an investment to double at a simple interest rate of 11%.

According to given information :

To find the number of years necessary for an investment to double at a simple interest rate of 11%, we can use the following formula:

n = 72 / r

where n is the number of years required for the investment to double, and r is the interest rate.

Plugging in the values, we get:

n = 72 / 11

n ≈ 6.5 years (rounded to the nearest tenth)

Therefore, it would take approximately 6.5 years for an investment to double at a simple interest rate of 11%.

What is simple interest ?

Simple interest is a type of interest that is calculated on the principal amount of a loan or investment. It is a fixed percentage of the original amount borrowed or invested, and it is not compounded over time.

The formula for calculating simple interest is:

I = P * r * t

where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.

For example, if you borrow $1,000 for two years at a simple interest rate of 5%, the interest you would pay is calculated as follows:

I = 1,000 * 0.05 * 2

I = $100

So, you would have to pay back the $1,000 principal plus $100 in interest, for a total of $1,100.

Simple interest is commonly used in short-term loans or investments, and it is usually easier to calculate and understand than compound interest, which takes into account the effect of earning interest on previously earned interest.

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which of the following is an example of conditional probability?

Answers

Answer:

the answer is (a) the probability that a person will order pie

What is the solution to this question?

Answers

Answer:

Step-by-step explanation:

To solve the equation (-1)/(x-5) = 2/(x+4), we can start by cross-multiplying:

(-1)(x+4) = 2(x-5)

Expanding both sides and simplifying, we get:

-x - 4 = 2x - 10

Bringing all the x terms to one side and all the constant terms to the other, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

So the solution to the equation is x = 2. However, we need to check if this value of x makes the denominators of the original equation non-zero. Plugging x = 2 into the original equation, we get:

(-1)/(2-5) = 2/(2+4)

Simplifying, we get:

1/3 = 1/3

Since both sides are equal, the solution x = 2 satisfies the original equation. Therefore, the only solution to the equation is x = 2.

Answer: x = 2

Step-by-step explanation:

    [tex]\boldsymbol{\sf{The\:exercise\:is \longmapsto \ \dfrac{-1}{x-5}=\dfrac{2}{x+4} }}[/tex]

We cross multiply.

     -(x + 4) = 2(x - 5)

We apply the multiplicative law of distribution.

       -x -4 = 2(x - 5)

       -x - 4 = 2x - 10

We rearrange the unknown terms to the left side of the equation.

       -x - 2x = -10 + 4  <===Combine as terms===> -3x = -10 + 4

We calculate -10 + 4 = -6.

       -3x = -6

We divide both sides of the equation by the coefficient of the variable.

       [tex]\boldsymbol{\sf{x=\dfrac{-6}{-3} \iff \ x=\dfrac{6}{3} }}[/tex]

      x = 2

Please help find the radius, circumference, and area

Answers

Area:103.8
Circumference: 36.11
Radius: 5.75
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