Answer:
Step-by-step explanation:
If two lines coincide then the system of linear equations has infinitely many solutions.
I need help!!!!!!!!!!!!!!!!!!!!!!
Answer:
A square
Step-by-step explanation:
Decide whether the statement about the diagram is true. Explain your answer using the definitions you have learned.
M is the midpoint of AB¯¯¯¯¯¯¯¯.
That look true but if it has number in between you will have to recheck the mid point
The statement is true.
What is midpoint?The midpoint formula is applied when one is required to find the exact center point between two defined points.
Given statement:
M is the midpoint of AB.
As we can see from the figure we can say that the point M is seems to be equidistant from from point A and point B.
If there were measurement then this will be more clear,
But from figure it can be seen that M is midpoint of AB.
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Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
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UU UN INSUL OUUU Convert a fration: m=- 4444 21 x= -2 3 2 91 40 = IU m=-5 2 and 3 32°+x- Which two integers does V5 go between? 1 and 2 49 x=100 x=180 7 and 8 4 and
I'll get the slope of the arrow on the graph
P1 = (-1, 1)
P2 = (-4, 3)
slope = m = (3 - 1) / (-4 + 1)
m = 2/-3
slope = m = -2/3
a portion or part of a population is called a:
Answer:
Step-by-step explanation:
The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.
I hope I have helped.
What should you do if in the REVIEW phase of problem solving, you find the answer doesn't make sense?
If you're right I will give you brainliest
Answer:
I would recheck the answer
Step-by-step explanation:
there is my opinion :)
The box that kite came in is a rectangular prism with dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches
Which is a reasonable estimate for the difference 5 1/2- 3 5/9? Circle
the letter of the correct answer
A between 1/2 and 1
B between 1 and 1 1/2
C between 1 1/2 and 2
D between 2 and 2 1/2
Elise chose D as the correct answer. How did she get that answer?
Step-by-step explanation:
To estimate the difference between 5 1/2 and 3 5/9, we can first round the fractions to the nearest whole number or simpler fractions. In this case, we can round 1/2 to 1/2 and 5/9 to 1/2 as well. Now, we have:
5 1/2 − 3 1/2
Subtracting the whole numbers, we get:
5−3=2
Subtracting the fractions, we get:
1/2 − 1/2 = 0
So, the estimated difference is 2, which falls between 2 and 2 1/2. Therefore, Elise chose option D as the correct answer.
A construction company begins building a brick wall. When completed, the wall will have a height of 1515 feet. After 22 hours, the height of the wall is 66 feet.
If the company continues at the same rate, how many total hours will be required to complete the wall?
If the company continues at the same rate, it will require approximately 44 hours to complete the wall.
To discover the full hours required to finish the wall, we can decide the fee at which the wall is being constructed after which calculate the final time had to attain the very last top.
The increase in height in step with hour can be discovered by dividing the difference in peak by way of the range of hours:
Increase in peak according to hour =
(1515 feet - sixty six ft) / 22 hours = 1449 feet
= 1449/ 22 hours ≈ 65.86 ft in line with hour.
To determine the total hours required to finish the wall, we are able to divide the remaining peak needed to reach 1515 feet by way of the rate of creation according to hour:
Remaining top = 1515 toes - 66 ft
= 1449 feet.
Total hours required = Remaining top / Increase in peak in keeping with hour
Total hours required = 1449 ft / 65.
86 feet consistent with hour ≈ 22 hours.
Therefore, if the organisation maintains on the identical rate, it would take about 22 extra hours to complete the wall, ensuing in a total of 44 hours (22 initial hours + 22 extra hours) to complete the wall.
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A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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PLEASE HELP WILL GIVE BRAINLIESTT
Let y = f (x) be the solution to the differential equation f '(x) = 2xy with the initial condition f (1) = 3. what is the approximation for f (2) if euler's method is used with two steps of equal length?
15
30
13.5
112.5
Using Euler's method with two steps of equal length, the approximation for f(2) can be determined as follows:
Step 1: Calculate the value of f(1 + h), where h is the step size. In this case, h = (2 - 1)/2 = 0.5. So, we need to find f(1.5).
Step 2: Use the given differential equation f'(x) = 2xy to find the derivative at x = 1.5. Then, approximate f(1.5) using the formula: f(1.5) ≈ f(1) + hf'(1).
Step 3: Repeat Step 1 and Step 2 for the second step to find the approximation for f(2).
Euler's method is a numerical technique used to approximate solutions to differential equations. It works by dividing the interval into small steps and using the derivative of the function at each step to approximate the value of the function at the next step. In this case, we are given the differential equation f'(x) = 2xy and the initial condition f(1) = 3. By applying Euler's method with two steps of equal length, we can approximate the value of f(2) by finding the function values at intermediate points and incrementing them based on the derivative. The approximation for f(2) will be one of the provided answer choices.
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equations that are equivalent to 6x-4/2
Help me please :)....
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
Someone pls help me I will make you brain
Answer:
k=2 should be the correct answer!
Using compatible numbers, which is the best estimate of (28.5)(7.1)
Answer:
203
Step-by-step explanation:
estimate 28.5 = 29
estimate 7.1 = 7
there for 29 x 7 = 203
I had the same question!!!The required estimated value of the given expression is 202.
What is an estimate of the numbers?The estimate is defined as a rough view calculation that helps to predict where the product value lies.
Here,
Given expression,
= (28.5)(7.1)
Multiplying the number under the parenthesis,
Gives,
= 202.35
Now, rounding the numbers, Since the number after the decimal place is close to zero,
= 202.
Thus, the required estimated value of the given expression is 202.
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Complete the point-slope equation of the line through
(-4,8) and (4,4).
Use exact numbers.
y – 4=
Answer:
y−4= −1/2 (x−4)
Step-by-step explanation:
The point-slope equation of the line through (-4,8) and (4,4) will be; y−4= −1/2 (x−4)
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that the line that passes through the points (-4,8) and (4,4).
To find the slope of the line that passes through points (-4,8) and (4,4).
Therefore, the slope of the line is;
m = Δy/Δx
m = (4 - 8)/(4 + 4)
m = -4/8
When we simplify it, then we get the;
m = -1/2
The point-slope equation will be;
y−4= −1/2 (x−4)
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la función h(x) = 3x3 + 2x2 + 5 es par, impar o ninguna de las dos.
The given function is h(x) = 3x³ + 2x² + 5 is neither even nor odd.
What are functions?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as \(${\displaystyle f\colon X\to Y}\) its graph is, formally, the set -\(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)
Given is the function -
h(x) = 3x³ + 2x² + 5
Let f be a real-valued function of a real variable. Then f is even if the following equation holds for all x such that x and −x are in the domain of f : f(x) = f(- x).Let f be a real-valued function of a real variable. Then f is odd if the following equation holds for all x such that x and −x are in the domain of f : - f(x) = f(- x).The given function is -
h(x) = 3x³ + 2x² + 5
Now -
h(- x) = 3(- x)³ + 2(- x)² + 5
h(- x) = - 3x³ + 2x² + 5
Now -
h(- x) ≠ h(x)
h(- x) ≠ - h(x)
Therefore, the given function is h(x) = 3x³ + 2x² + 5 is neither even nor odd.
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{Question in english -
The function h(x) = h(x) = 3x³ + 2x² + 5 is even, odd, or neither.}
Compare the fractions using the LCM.
1\7,2\3
Enter the correct inequality in the box.
Answer:
42
Step-by-step explanation:
1*3=3
it becomes 2,3 and 7
you will get the answer as 42
Lugi is trying to hit a turtle shell. The height of
Lugi's feet above the ground is given by the
functionh(t) = -16t² +961 + 2.
How long does it take for Lugi to hit the shell on the ground?
A. 3 seconds
B. 146 seconds
0.6.02 seconds
D. 16 seconds
Answer:
C. 6.02sec
Step-by-step explanation:
Given
\(h(t) = -16t\² +96t + 2\)
Required
Time to hit the ground
When the turtle shell hits the ground, \(h(t) = 0\)
So:
\(0 = -16t\² +96t + 2.\)
Solving using quadratic formula:
\(t = \frac{-b\±\sqrt{b^2-fac}}{2a}\)
Where:
\(a = -16; b =96; c = 2\)
So:
\(t = \frac{-96\±\sqrt{96^2-4 * -16 * 2}}{2*-16}\)
\(t = \frac{-96\±\sqrt{9344}}{-32}\)
\(t = \frac{-96\±96.66}{-32}\)
Split:
\(t = \frac{-96+96.66}{-32}\) or \(t = \frac{-96-96.66}{-32}\)
\(t = \frac{0.66}{-32}\) or \(t = \frac{-192.66}{-32}\)
\(t = -0.020625\) or \(t = 6.020625\)
So time can't be negative, we have:
\(t = 6.020625\)
Option C answers the question
The surface area of this rectangular prism is 76 square centimeters. What is the volume?
which expression can you use to find the number of ways to choose 5 cards from a 52-card deck? how many ways can you choose the 5 cards?
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52!/(47! * 5!).
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.
The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.
Order is irrelevant, therefore we utilize a combination (instead of a permutation)
We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)
so we obtain:
n C r = r!*(n-r)!/(n!)
52 C 5 = (52!)/(5!*(52-5)!)
52 C 5 = (52!)/((52-5)!*5!)
The complete question is:-
Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?
a) (52-5)! / 52!5!
b) 52! / (52-5)!
c) 52! / (52-5)!5!
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2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?
The inflection point of f(t) is approximately t = 3.73.
(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.
Taking the derivative of f(t), we have:
f'(t) = -1.275t^2 + 9.516t + 6.741
To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:
-1.275t^2 + 9.516t + 6.741 = 0
Using the quadratic formula, we find two possible values for t:
t ≈ 0.94 and t ≈ 6.02
Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).
For t < 0.94, choose t = 0:
f'(0) = 6.741 > 0
For 0.94 < t < 6.02, choose t = 1:
f'(1) ≈ 14.982 > 0
For t > 6.02, choose t = 7:
f'(7) ≈ -5.325 < 0
From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).
(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.
Taking the second derivative of f(t), we have:
f''(t) = -2.55t + 9.516
Setting f''(t) = 0 and solving for t, we find:
-2.55t + 9.516 = 0
t ≈ 3.73
Therefore, The inflection point of f(t) is approximately t = 3.73.
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Ali and ben divide £35 in the ratio of 2:5 how much do they both get
Ali will receive £10, and Ben will receive £25 when they divide £35 in the ratio of 2:5.
How to find he ratio of 2:5 how much do they both getTo divide £35 in the ratio of 2:5, we first need to calculate the total parts of the ratio:
Total parts = 2 + 5 = 7
Next, we divide the total amount (£35) into 7 equal parts:
£35 / 7 = £5
Now, we can allocate the amounts to Ali and Ben based on the ratio:
Ali's share = 2 parts * £5 = £10
Ben's share = 5 parts * £5 = £25
Therefore, Ali will receive £10, and Ben will receive £25 when they divide £35 in the ratio of 2:5.
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Ariana solved the equation as shown. Explain her error and correct the solution.
9x² - 144= 0
9x² = 144
x² = 16
√ x² = √ 16
x=+8
س 2.5 To find the integration for certain function, we use A int .B integration .C dsolve D diff
The integration for certain function can be found by using the term "integration".
Integration refers to a mathematical operation that can be used to determine the area under a curve. Integration is used in calculus to find the integral of a function. In order to find the integral of a function, we must use the term "integration".Therefore, the correct answer to the given question is: B) integration.Explanation:Integration is used in calculus to find the integral of a function. The integral of a function f(x) from a to b is denoted by ∫ab f(x) dx, and it represents the area under the curve of f(x) between the limits a and b. The process of finding the integral of a function is called integration, and it is the inverse of differentiation. Integration can be used to solve a variety of problems in mathematics, physics, and engineering.
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Elke lives 1/10 mile away from school. Haresh lives 2/3 mile away from school. How much close does elk live
1 / 10 = 3 / 30
2 / 3 = 20 / 30
Elk lives 17 / 30 miles closer
1. What frequency distribution graph is appropriate for scores measured on a nominal scale?
A. Only a histogram
B. Only a polygon
C. Either a histogram or a polygon
D. Only a bar graph
When scores are measured on a nominal scale, the appropriate frequency distribution graph is a bar graph. Therefore, the correct answer is option D: Only a bar graph.
A nominal scale is the lowest level of measurement, where data is categorized into distinct categories or groups without any inherent order or magnitude. In this type of measurement, the data points are labeled or named rather than assigned numerical values. Examples of variables measured on a nominal scale include gender (male/female), marital status (single/married/divorced), or eye color (blue/brown/green).
A bar graph is a visual representation of categorical data that uses rectangular bars of equal width to depict the frequency or count of each category. The height of the bars represents the frequency or count of observations in each category. The bars in a bar graph are usually separated by equal spaces, and there is no continuity between the bars. The categories are displayed on the x-axis, while the frequency or count is displayed on the y-axis.
A bar graph is particularly useful for displaying and comparing the frequencies or counts of different categories. It allows for easy visualization of the distribution of categorical data and helps to identify the most common or least common categories. The distinct separation of the bars in a bar graph is suitable for representing data measured on a nominal scale, where the categories are discrete and do not have a natural order or magnitude.
Histograms, polygons, and other types of frequency distribution graphs are more appropriate for variables measured on ordinal, interval, or ratio scales, where the data points have numerical values and a specific order or magnitude.
In summary, when scores are measured on a nominal scale, the most appropriate frequency distribution graph is a bar graph. It effectively represents the frequencies or counts of different categories and allows for easy visualization and comparison of categorical data.
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Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
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an election is coming up between four candidates. in your opinion, candidate a is half as likely to win as candidate c. candidate b is twice as likely to win as candidate d. candidate d is three times more likely than c. for the candidate most likely to win the election, what is the probability that they are going to win?
The probability that candidate B is going to win the election is 2.
The probability of candidate A winning the election is 0.5, the probability of candidate B winning the election is 2, the probability of candidate C winning the election is 1/3 and the probability of candidate D winning the election is 2/3.
Therefore, the candidate most likely to win the election is candidate B, and the probability that they are going to win is 2. This can be calculated using the formula for probability, which states that the probability of an event occurring is the number of favourable outcomes divided by the total number of outcomes. In this case, the number of favourable outcomes is 1 and the total number of outcomes is 3, so the probability of candidate B winning is 1/3.
Therefore, the probability that candidate B is going to win the election is 2.
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