Answer:
1) x = 19
2) x = 24 1/3
Step-by-step explanation:
1) there are 360 degrees in a 4-sided polygon
90 + 90 + 4x - 14 + 5x + 23 = 360
9x + 9 = 180
9x = 171
x = 19
2) there are 720 degrees in a 6-sided polygon
since this hexagon is 'regular' then all angles are equal and measure 120°
6x - 26 = 120
6x = 146
x = 24 1/3
CAN SOMEONE PLEASE HELP FAST
Find the midpoint of the segment with the following endpoints.
(4, 2) (7, 6)
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
Answer:
the answer is 66feet
Step-by-step explanation:
can i get a brainliest plz
FL
Intro
2
2
y
E
What is the y-coordinate of point D after a translation of
(x, y) - (x+6, y - 4)?
D'(3.5,
Done
Answer:
(3,1)
Step-by-step explanation:
(x+ 6, y -4)
The x tells us the movements are right or left. Right would be a positive movement and left would be a negative movement.
The y tells us the movements are up or down. Up would be a positive movement and down would be a negative movement.
D is at the point ( -3,5)
(x + 6, y -4) Is telling us that from the point of D, move right 6 spaces and down 4 spaces. You will know be at the point (3,1).
If the bakery offers chicken, tuna, and vegetable sandwiches on plain or onion bagels, how many possible sandwiches are there?
Therefore, there are 6 possible sandwiches in this scenario.
If the bakery offers chicken, tuna, and vegetable sandwiches on plain or onion bagels, there are a total of 3 sandwich fillings (chicken, tuna, vegetable) and 2 types of bagels (plain, onion). To determine the number of possible sandwiches, we multiply the number of options for each component:
Number of sandwich fillings: 3
Number of types of bagels: 2
Total number of possible sandwiches = Number of sandwich fillings * Number of types of bagels = 3 * 2 = 6
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Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
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The graph below shows the number of calories burned when someone rides a bicycle.
At what rate are calories burned by bike riding?
Responses
The rate at which calories are burned was gotten by finding the slope of the graph which gives; 4 calories per minute
How to find the slope of the Linear Graph?
To get the slope of a linear graph, we will take two coordinates and make use of the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
The two coordinates we will pick for this slope are;
(10, 40) and (20, 80)
Thus;
Slope = (80 - 40)/(20 - 10)
Slope = 40/10
Slope = 4
Since the y-axis represents calories burned and the x-axis represents minutes of exercise, then we can say that;
Rate at which calories get burned by bike riding = 4 calories per minute
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What would the median of the following distribution be 12, 20, 13, 33, 26, 34, 25, 16, 17, 28, 36? O 25 25.5 O26 O None of these
The median is the middle value of a data set when it is arranged in ascending or descending order. To find the median, we need to arrange the given numbers in ascending order: 12, 13, 16, 17, 20, 25, 26, 28, 33, 34, 36.
Since there are 11 numbers in the data set, the median will be the value in the middle position. In this case, the middle position is the 6th position, which corresponds to the number 25.
Therefore, the median of the given distribution is 25.
The correct option is O 25.
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7. What is the slope of the line
Problem Set #4
2-y=8x ?
Answer:
To find the slope of the line, you can use the formula for slope: slope = (y2 - y1)/(x2 - x1). In this case, you can rewrite the equation 2-y = 8x as y = 2 - 8x. This is the standard form of a line: y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).
Since the equation of the line is already in standard form, you can find the slope by looking at the coefficient of the x term. In this case, the coefficient of the x term is -8, so the slope of the line is -8.
Alternatively, you can plug in the coordinates of two points on the line into the formula for slope to find the slope. For example, if you know that the line passes through the points (1, -14) and (2, -10), you can use these points to find the slope:
slope = (y2 - y1)/(x2 - x1) = (-10 - (-14))/(2 - 1) = (-10 + 14)/1 = 4/1 = 4
This method gives the same result as using the standard form of the equation.
Step-by-step explanation:
help me on this please and thank you
Answer: I'm prett sure its c) 60, 90, and 120
Step-by-step explanation:
At noon, Trevor and Kim start running from the same point. Trevor runs east at a speed of 8 km/h and Kim runs west at a speed of 6 km/h. At what time will they be 21 km apart?
Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.
To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.
Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.
Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:
Total distance = 8t + 6t
We want to find the time when this total distance equals 21 km:
8t + 6t = 21
Combining like terms, we have:
14t = 21
To solve for t, we divide both sides of the equation by 14:
t = 21 / 14
Simplifying, we find:
t = 3 / 2
So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.
Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.
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solve the following higher order linear ODE:
exercise 2.5.3: find a particular solution of y 00 − 4y 0 4y = e 2x
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
To solve the given higher-order linear ODE, we need to find a particular solution for the equation:
y'' - 4y' + 4y = e^(2x)
First, we find the complementary function (solution of the homogeneous equation) by solving the characteristic equation:
r^2 - 4r + 4 = 0
(r - 2)^2 = 0
The roots are r1 = r2 = 2. Therefore, the complementary function is:
y_c(x) = C1 * e^(2x) + C2 * x * e^(2x)
Next, we find a particular solution y_p(x) by using the method of undetermined coefficients. Since the right-hand side of the equation is e^(2x), we can assume a particular solution of the form:
y_p(x) = A * x^2 * e^(2x)
Taking the first and second derivatives of y_p(x):
y_p'(x) = A * (2x * e^(2x) + 4x^2 * e^(2x))
y_p''(x) = A * (2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x))
Now substitute y_p, y_p', and y_p'' back into the given ODE:
A*(2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x)) - 4A*(2x * e^(2x) + 4x^2 * e^(2x)) + 4A*x^2 * e^(2x) = e^(2x)
Simplify and cancel out the terms:
2A * e^(2x) = e^(2x)
A = 1/2
Now we have the particular solution:
y_p(x) = (1/2) * x^2 * e^(2x)
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
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Write the equation of the line that passes through the points (-1,4)and (−1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, the tell-tale part in the points will be the coordinates, hmmm now, the x-coordinate for both points is the same, well, that simply means is a vertical line. Check the picture below.
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.
Answer:
150.9 cubic inches
Step-by-step explanation:
volume of he gas = volume of a cone x 3/4
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
8/2 = 4 inches
1/3 (22/7 x 4^2 x 12) = 201.142857 in^3
volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
what kind of question usually produces a wide variety of responses by allowing respondents to answer in whatever way seems appropriate to them?
A closed-ended question is one that doesn't permit many different answers.
Closed-ended questions are those that can only be answered by choosing one of a small number of possibilities. These questions are typically multiple-choice with a single-word response, such as "yes" or "no," or they can use a rating system (e.g. from strongly agree to strongly disagree).
Close-ended questions, such as "yes/no" or multiple choice questions with predetermined answers, are questions that demand a certain response from the respondent. Closed-ended inquiries are frequently used to collect quantitative data from respondents.
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___________ is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
The answer of the given question is Integration testing.
Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
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Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.
Integration testing focuses on the interactions between different components of a system. It aims to identify any issues that may arise when the components are combined, such as communication errors, data discrepancies, or incorrect functional behavior. This type of testing is typically performed after unit testing, which tests individual components in isolation, and before system testing, which evaluates the entire system's functionality.
In summary, integration testing is a crucial step in the software testing process that ensures individual components work together seamlessly, helping to identify and resolve defects that may occur when these components are connected.
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4. In the diagram below TP and TR are tangents circle centered at O. IfPRT-65°, find ROP. O 65° R.
The measure of angle ROP is 25 degrees.
In the given diagram, TP and TR are tangents to a circle centered at O, and PRT is a triangle with angle PRT equal to 65 degrees. We need to find the measure of angle ROP in degrees.
Therefore, ∠PTO and ∠RTO are both 90 degrees.
We also know that the sum of the angles in a triangle is 180 degrees. Therefore, we can use this fact and the given angle PRT to find the measure of angle POR as follows:
∠PRT + ∠PTR + ∠PTR = 180 degrees
65 + 90 + 90 = 180 degrees
245 degrees = 180 degrees + ∠POR
∠POR = 65 degrees
Finally, we can find the measure of angle ROP by subtracting ∠POR from the given angle ∠TOR:
∠ROP = ∠TOR - ∠POR
∠ROP = 90 - 65
∠ROP = 25 degrees
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In terms of relative growth rate, what is the defining property of exponential growth?
In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.
Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form
y (t) = C eᵏᵗ, where k is the rate constant.
Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.
1/y dy/dt = 1/y d(C eᵏᵗ)/dt
= 1/y(kC eᵏᵗ)
= 1/y ( ky) ( since, y (t) = C eᵏᵗ)
= k
Therefore a constant relative growth rate.
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Complete question:
In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.
A. The relative growth rate at time t is the slope of the exponential function at time t.
B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt
C. The relative growth rate is proportional to the size of the population
D. The relative growth rate is constant.
Which points would be in the critical points of the following: (There is more than one correct answer)
(0.3)
(0,0)
(0.2)
(5,0)
(3.0)
(2,0)
The critical points on the given graph are (0, 0) and (0, 2).
What are critical points?Due to its widespread application in addressing optimization issues, the critical point notion is crucial to understanding calculus. At the crucial point of a function's graph, there is either a horizontal tangent or a vertical tangent. We shall draw a few additional facts concerning important aspects from this. A crucial point is a location on the graph of a function, such as (c, f(c)), where the derivative is either 0 or undefined.
The critical points of the function are the coordinates when the derivative of the function is 0.
The derivative of the function is obtained where the horizontal slope is 0 and vertical slope is undefined.
From the given graph we observe the horizontal and vertical slope at the points (0, 0) and (0, 2).
Hence, the critical points on the given graph are (0, 0) and (0, 2).
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Help me with this please
Step-by-step explanation:
as, the traingle is equilateral triangle Which means it's all sides are equal
therefore, VT and BT are x
→ BV = VT = BT = x
hope this answer helps you dear take care!
(1 pt) Evaluate the integral by reversing the order of integration. integrate integrate e ^ (x ^ 2) dx from 7y to 7 dy from 0 to 1 =
The integral by reversing the order of integration is (e⁴⁹ - 1)/ 14
How to solve the reverse integral?The given integral is e ^ (x ^ 2) dx from 7y to 7 dy from 0 to 1
Frist Integral from 0 to 1 and second integral from 7y to 7 e power x power 3 dxdy
We will first change the integration order by dydx as follows
The integration limits are:
0≤y≤1 , 7y≤x≤7
Now we first put y=0 and we will get
0≤x≤7
Also from 7t≤x≤7 we get
0≤yx/y
So that the double integral after reversing integral order will be
Frist Integral from 0 to 7 and second integral from 0 to x/7 e power x power 3 dydx
Now we have have the integral wrt x dx as
Frist Integral from 0 to 1 and second integral from 7y to 7 e power x power 3 dxdy= (e⁴⁹ - 1)/ 14
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14-18-10-10-20 Mean _ Median _ Mode _ Range
Answer:
This would be mode because 10 shows up the most
Step-by-step explanation:
14-18-10-10-20 Mean-median-mode
mode- is what number shows up the most
Answer:
mean = 14.4
median = 14
mode = 10
range = 10
Step-by-step explanation:
mean is adding them all then dividing all that by the number of numbers
median is the middle number from least to greatest
mode is the most often used number
range is the biggest number minus the smallest
Franklin has delivered 26 newspapers and
can deliver 9 newspapers in an hour.
Michael has delivered 5 newspapers and can
deliver 12 newspapers in an hour. How
many hours (h) will Michael take to deliver
as many newspapers (n) as Franklin?
n = 9h+26
n = 12h + 5
[?] hours
Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The linear functions that give the amounts for Franklin and Michael after h hours are given by:
F(h) = 26 + 9h.M(h) = 5 + 12h.They will be equal when:
F(h) = M(h)
Hence:
26 + 9h = 5 + 12h
3h = 21
h = 7
It will take 7 hours for Michael to deliver as many newspapers as Franklin.
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PLEASE HELP I WILL CHOOSE BRAINLIEST!
Answer:
x=9
Step-by-step explanation:
Use the triangle Similarity theorem. First, make a proportion.
--------------------------------------------------------------------------------------------
21 / 77 is equal to 30 / 11x + 11 then solve.
Step 1: Cross-multiply.
21*(11x+11)=(30)*(77)
231x+231=2310
Step 2: Subtract 231 from both sides.
231x+231−231=2310−231
231x=2079
x=9
HOPE THIS HELPS!
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
\(\sqrt{225\)=c
15=c
The diagram shows the net of a juice box. The box is a rectangular prism. What is the surface area of the juice box?
Answer:269.6 square centimeters
Step-by-step explanation:
Which statistical measurement informs a CTRS about how well the assessment results compare to what is being measured?A.Equivalent-forms reliabilityB.Criterion-related validityC.Test-retest reliabilityD.Construct validity
The statistical measurement that informs a CTRS about how well the assessment results compare to what is being measured is Construct validity.
Construct validity assesses how well the assessment measures the intended construct or trait, and compares the results to other tests or measures of the same construct to determine how accurate and reliable the assessment is.
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A sweater costs d dollars at regular
price. The sweater is reduced by
20%, or 0.2d. Write and simplify an
expression to find the cost of the
sweater before tax.
I'm dum i can't answer srry im no help
Type the correct answer in each box. Use numerals instead of words. Consider this expression.
What expressions is equivalent to the given expression?
Answer:
-4x. 2. 5+5x.
each of them should be filled in different boxes
The solution of the given equation will be (-4)x² + (-3x) + (- 5).
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 3 and coefficient of x² is not zero
Given,
⇒ -4x² - 2x - 5( 1 + x )
⇒ -4x² - 2x - 5 - 5x
⇒ (-4) x² + (-3) x + (- 5).
Hence (-4)x² + (-3x) + (- 5) will be the correct answer for the given expression.
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the distribution of heights of adult american men is approximately normal with mean 69 inches and standard deviation 2.5 inches. what percent of men are between 64 and 66.5 inches tall?
By using normal distribution of probability, it can be calculated that
13.59 %of men are between 64 and 66.5 inches tall
What is normal distribution of probability?
Normal distribution of probability is a continuous type probability distribution whose probability density function is given by
f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}}\) where z = \(\frac{x - \mu}{\sigma}\)
\(\mu\) is the mean and \(\sigma\) is the standard deviation.
Here, normal distribution of probability is used
Mean = 69 inches
Standard deviation = 2.5 inches
P(64 < X < 66.5) = P(X <66.5) - P(X < 64)
For X < 64
z = \(\frac{64 - 69}{2.5}\) = -2
P(X < 64) = P(z < -2) = 0.0228
For X < 66.5
z = \(\frac{66.5 - 69}{2.5}\) = -1
P(X < 66.5) = P(z < -1) = 0.1587
P(64 < X < 66.5) = 0.1587 - 0.0228 = 0.1359
13.59 % men are between 64 and 66.5 inches tall
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Marcus is playing a game.His score in the first round is 5 points.His score in the second round is -4 points. What is marcus's score after these two rounds
Answer:
Marcus total score = 1 points
Step-by-step explanation:
Given:
Marcus score in the first round = 5 points
Marcus score in the second round = -4 points
Find:
Marcus total score
Computation:
Marcus total score = Marcus score in the first round + Marcus score in the second round
Marcus total score = 5 + (-4)
Marcus total score = 5 - 4
Marcus total score = 1 points