Answer: A
Step-by-step explanation:
For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts. Thus, each donut costs 1.25, thus the 1.25n of the equation. However, you must also take into account the 80 dollar fee she paid(Thus the - 80).
what was the total distance traveled by the object during the 10.0-second time interval
Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.
Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.
Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.
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write the necessary preprocessor directive to enable the use of functions like sqrt and sin.
The necessary preprocessor directive to enable the use of functions like sqrt and sin
#include <math.h>
What is a preprocessor directive?Generally, A preprocessor directive is a command that is processed by the preprocessor in a programming language before the actual compilation of the source code begins.
Preprocessor directives are used to give instructions to the preprocessor, which is a program that performs text substitution on
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Caley is trying to find the best deal on a flight from New York to Orlando. She checks the price each week and tracks how much it changes.
After 3 weeks she pay $208.10.
From the question, we have
After 3 weeks she pay =
$211.30+$22.50-$17-$8.70 = $208.10
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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4. Show that the matrix [XX-X'Z(ZZ)-¹Z'X). where both the x & matrix X and the x matrix Z. have full column rank and m2, is positive definite. Discuss the implications of this result in econometrics.
To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.
Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:
A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'. The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric. Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v
Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.
When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.
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Convert 0.0045 to a percent.
Select one:
0.045%
0.45%
4.5%
45%
Answer: 0.045%
Step-by-step explanation:
The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(−15, −21);
point on the circle: (0, −13)
The circumference is about ???
Answer:
Circumference ~ 233.7
Step-by-step explanation:
Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.
a person leaves home and walks 4 miles west, then 3 miles southwest.how far from home is she?$6.478469167$correct milesin what direction must she walk to head directly home?$70.8864353$incorrect 19.113564701735 degrees north of east
The person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
To find the distance and direction the person needs to walk to head directly home, we can use the Pythagorean theorem and some trigonometry.
1. First, break the southwest walk into west and south components. Since it's a 3-mile walk at a 45-degree angle, the west and south components are equal: 3 * cos(45°) = 3 * 0.7071 ≈ 2.121 miles for both west and south components.
2. Calculate the total west and south distances. The total west distance is the sum of the initial westward walk and the west component of the southwest walk: 4 miles + 2.121 miles ≈ 6.121 miles. The total south distance is just the south component of the southwest walk: 2.121 miles.
3. Use the Pythagorean theorem to find the straight-line distance back home: √((6.121 miles)^2 + (2.121 miles)^2) ≈ 6.478 miles, which is the correct distance.
4. Determine the angle between the eastward direction and the straight-line path back home. Use the inverse tangent function: angle = atan(south distance / west distance) = atan(2.121 miles / 6.121 miles) ≈ 19.11° north of east, which is the correct direction.
So, the person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
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Please answer this......
Answer:
Step-by-step explanation:
45=5*3^2
75=5^2*3
1. LCM=product of the common and uncommon prime factors at the biggest power
LCM=3^2*5^2=9*25=225
2. HCF= product of the common prime factors at the lowest power
HCF=3*5=15
3. 10*x-3
4. 6^2-7^2=36-49=-13
5. I. K=4-1=3 drinks
II. Total=4+3=7 drinks
6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm
Answer:
Step-by-step explanation:
LCM of two numbers is the smallest number that is evenly divisible by the two numbers
1) 45 = 3 * 3 * 5 = 3² * 5
75 = 3 * 5 * 5 = 3 * 5²
LCM = 3² * 5² = 9 *25 = 225
LCM = 225
2) HCF of two numbers is the greatest number which divides each of them exactly.
HCF of 45 and 75 = 3*5 = 15
HCF = 15
3) 10x - 3
4) m² - n² = 6² - 7²
= 36 - 49
= -13
m² - n² = -13
When two numbers are in different sign, subtract and the result will have the sign of the bigger number.
5)a) Kate prepared (4-1) 3 drinks
b) Total volume of drinks = 4 + 3 = 7
a basketball player with a poor foul-shot record practices intensively during the off-season. he tells the coach that he has raised his proficiency from 60% to 80%. dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. did the player prove that he has improved?
The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%
Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.
Given\(=60\)%\(=0.60\)
n\(=10\)
Definition binomial probability:
\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)
Evaluate for \(k=9\) and \(k=10\)
P\((X=9)=0.0403\)
P\((X=10)=0.0060\)
Add the corresponding probabilities:
P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%
Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)
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discrete math Let P(n) be the equation
7.1+7.9+7.9^2 +7.9^3+...+7.9^n-3 = 7(9n-2-1)/8
Then P(2) is true.
Select one:
O True
O False
Main Answer:
False
Explanation:
The equation given, P(n) = 7.1 + 7.9 + 7.9^2 + 7.9^3 + ... + 7.9^(n-3) = (7(9^n-2 - 1))/8, implies that the sum of the terms in the sequence 7.9^k, where k ranges from 0 to n-3, is equal to the right-hand side of the equation. We need to determine if P(2) holds true.
To evaluate P(2), we substitute n = 2 into the equation:
P(2) = 7.1 + 7.9
The sum of these terms is not equivalent to (7(9^2 - 2 - 1))/8, which is (7(81 - 2 - 1))/8 = (7(79))/8. Therefore, P(2) does not satisfy the equation, making the statement false.
In the given equation, it seems that there might be a typographical error. The exponent of 7.9 in each term should increase by 1, starting from 0. However, the equation implies that the exponent starts from 1 (7.9^0 is missing), which causes the sum to be incorrect. Therefore, P(2) is not true according to the given equation.
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To further understand the solution, it is important to clarify the pattern in the equation. Discrete math often involves the study of sequences and series. In this case, we are dealing with a geometric series where each term is obtained by multiplying the previous term by a constant ratio.
The equation P(n) = 7.1 + 7.9 + 7.9^2 + 7.9^3 + ... + 7.9^(n-3) represents the sum of terms in the geometric series with a common ratio of 7.9. However, since the exponent of 7.9 starts from 1 instead of 0, the equation does not accurately represent the sum.
By substituting n = 2 into the equation, we find that P(2) = 7.1 + 7.9, which is not equal to the right-hand side of the equation. Thus, P(2) does not hold true, and the answer is false.
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The given function, P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8 would be true.
The given function, P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8
Now, we need to determine whether P(2) is true or false.
For this, we need to replace n with 2 in the given function.
P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8P(2) = 7.1 + 7.9 = 70.2
Now, we need to determine whether P(2) is true or false.
P(2) = 7(9² - 1) / 8= 7 × 80 / 8= 70
Therefore, P(2) is true.
Hence, the correct option is True.
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Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
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Dae averages 1.4 miles per hour when hiking downhill on a mountain trail and 0.8 miles per hour on the return trip, hiking uphill. Use the formula t
Total Time = t1 + t2 = (D / 1.4) + (D / 0.8) hours.
To find the time it takes for Dae to hike downhill and uphill, we can use the formula:
Time = Distance / Speed
1. For the downhill hike, Dae's speed is 1.4 miles per hour. Let's assume the distance is D miles. So the time it takes for the downhill hike is t1 = D / 1.4 hours.
2. For the uphill hike, Dae's speed is 0.8 miles per hour. The distance is still D miles. So the time it takes for the uphill hike is t2 = D / 0.8 hours.
Now, if we add the time it takes for the downhill hike (t1) and the uphill hike (t2), we get the total time for the round trip:
Total Time = t1 + t2 = (D / 1.4) + (D / 0.8) hours.
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FAST ANSWERS ONLY 59. A triangle has sides of lengths 21, 47, and 52. Is it a right triangle? Explain.A. yes; 212 + 472 € 522C. yes; 212 + 472 522B.no; 212 + 472522D. no; 212 + 472 522
The largest side of the triangle is 52.
Checking pythagoraus theorem,
\(\begin{gathered} 52^2=2704 \\ 21^2+47^2=441+2209 \\ =2650 \\ \text{Thus,} \\ 21^2+47^2\ne52^2 \end{gathered}\)Thus, it is not a right angle triangle.
Thus, option (D) is correct.
Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x
Answer:
The answer is b
Step-by-step explanation:
Bc it is just basicly the x and y axis
which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
i think its a because they keep adding a side (or a line)
Complete the table for each given sequence: On = 15+3(n − 1)
Answer:
The complete table will be:
Term # Value of aₙ
1 15
5 27
10 42
20 72
Step-by-step explanation:
Given the sequence expression
aₙ = 15 + 3(n-1)
Substituting n = 1 for the first term
aₙ = 15 + 3(n-1)
a₁ = 15 + 3(1-1)
a₁ = 15 + 3(0)
a₁ = 15 + 0
a₁ = 15
Substituting n = 5 for the 5th term
aₙ = 15 + 3(n-1)
a₅ = 15 + 3(5-1)
a₅ = 15 + 3(4)
a₅ = 15 + 12
a₅ = 27
Substituting n = 10 for the 10th term
aₙ = 15 + 3(n-1)
a₁₀ = 15 + 3(10-1)
a₁₀ = 15 + 3(9)
a₁₀ = 15 + 27
a₁₀ = 42
Substituting n = 20 for the 20th term
aₙ = 15 + 3(n-1)
a₂₀ = 15 + 3(20-1)
a₂₀ = 15 + 3(19)
a₂₀ = 15 + 57
a₂₀ = 72
Therefore, the complete table will be:
Term # Value of aₙ
1 15
5 27
10 42
20 72
Is the square root of 25 real number or natural number or integer number or a whole number or Irrational number or a rational number?
Answer:
Yes, the square root of 25 is a whole numbers.
Step-by-step explanation:
Yes, square root of 25 is a rational number.
show work please
A runner is running up a 30 mile steep hill. He passes a sign that says the road is at an
incline of 15° with bottom of the hill, how high is the top of the hill? Round your answer to
the nearest tenth.
Answer:
Step-by-step explanation:
sin15=h/30
h=30sin15
h=7.8 mi
Jan is making dinner. She uses 25 lbs of carrots in soup. She uses 3 of carrots in salad. About how many pounds of carrots did lan use in all?
Answer:
28 pounds of carrots.
Step-by-step explanation:
25+3=28
A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take for the ship to reach the other side?
Answer:
pass the code
Step-by-step explanation:
Which letter is the other base angle? In the same triangle which angle is the vertex angle
Answer:
e and b
Step-by-step explanation:
The base angles are the angles below the congruent sides
Then e is the other base angle.
The vertex is the third angle in the triangle, that is b
A sidewalk in the shape of two triangles, a rectangle, and a square was built around the edge of a building shown. What’s is the area of the sidewalk in square feet
Answer:144
Step-by-step explanation:
When f(x) = –3, what is x?
Answer:
when f(x)=y=-3 then x =0
Step-by-step explanation:
\(x = 0\)
Matthew Filled a gallon bucket half full with water .He than poured 1/2 of the water.
how much water is left
Answer:
No water
Step-by-step explanation:
The table shows the terms of a fixed-rate mortgage.
A 2-column table has 4 rows. The first column is labeled Component with entries (P) Principal, (R) Monthly interest rate, (n) Total number of monthly payments (30-year term), (M) Monthly payment. The second column is labeled Cost with entries 200,000 dollars, 0.4 percent, 360, blank.
Which accurately describes the terms of this mortgage? Check all that apply.
The homeowner is borrowing $360,000.
The monthly interest rate is 4 percent.
Monthly payments must be made for 30 years.
The annual interest rate is 4.8 percent.
The homeowner is borrowing $200,000.
Monthly payments must be made for 360 years
Please help
Answer:
b
Step-by-step explanation:
Answer:
cde or 3,4,5
Step-by-step explanation:
a conical salt spreader is spreading salt at a rate of 3 cubic feet per minute. the diameter of the base of the cone is 4 feet and the height of the cone is 5 feet. how fast is the height of the salt in the spreader decreasing when the height of the salt in the spreader (measured from the vertex of the cone upward) is 3 feet? give your answer in feet per minute.
Answer:
-25/(12π) ft/min ≈ -0.663 ft/min
Step-by-step explanation:
You want the rate of change of height of the salt in a cone with height 5 ft and diameter 4 ft, filled 3 ft up from the vertex, and decreasing in volume at the rate of 3 cubic feet per minute.
Rate of change of heightThe rate of change of height is the rate of change of volume, divided by the surface area.
Surface areaThe given cone dimensions tell you the radius is 2/5 of the height of the cone, so the radius of the surface when it is filled to a depth of 3 ft is ...
r = (2/5)(3 ft) = 1.2 ft
The area of the surface is the area of a circle with this radius:
A = πr² = π(1.2 ft)² = 1.44π ft²
ApplicationThen the rate of change of height is ...
h' = V'/A
h' = (-3 ft³/min)/(1.44π ft²) = -25/(12π) ft/min ≈ -0.663 ft/min
Does the graph represent a function? Why or why not?
Answer:
Yes
Step-by-step explanation:
The line can go through the graph and have the y- axis lines hit it once
Answer:
it does not.
Step-by-step explanation:
for a graph to represent a function, it needs to pass the vertical line test (just run a finger or pencil along the graph vertically and if you never have two points touch the vertical line, it passes). there are multiple points at x=0
Suppose water flows from a shower at a rate of .35 cubic feet per minute. Do you use more water by taking a 15 minute shower or by filling a bathtub with .5 cubic yards of water?
To determine whether taking a 15-minute shower or filling a bathtub with 0.5 cubic yards of water uses more water, we need to compare the amount of water used in each scenario.
By converting the measurements to the same unit, we can determine that taking a 15-minute shower uses less water than filling a bathtub.
To make a valid comparison, we need to convert the measurements to the same unit. Since the flow rate of the shower is given in cubic feet per minute, we will convert the volume of water in the bathtub to cubic feet.
First, we convert 0.5 cubic yards to cubic feet. Since 1 cubic yard is equal to 27 cubic feet, 0.5 cubic yards is equal to 0.5 * 27 = 13.5 cubic feet.
Next, we can calculate the amount of water used in each scenario:
Taking a 15-minute shower: 0.35 cubic feet/minute * 15 minutes = 5.25 cubic feet
Filling the bathtub: 13.5 cubic feet
Comparing the two amounts, we can see that taking a 15-minute shower uses less water (5.25 cubic feet) compared to filling the bathtub (13.5 cubic feet).
Therefore, taking a 15-minute shower uses less water than filling a bathtub with 0.5 cubic yards of water.
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Keisha had $405 in her bank account. Over the summer, she made 4 withdrawals of $45 each a) What is the balance in Keisha's account? * b) Write an integer expression to represent this problem. Solve the problem. *
Answer:
see below
Step-by-step explanation:
The amount she withdrew is 45*4 =180
405 - 4*45=
405 -180 =225
There is 225 in the account
Answer: a) $225
Step-by-step explanation:
405 - 45 (4) = x
405 - 180 = x
225 = x
in order to get a job at a convenience store, you had to take a lie-detector test. you were asked a series of questions and you answered truthfully that you had never stolen from your employer or lied during an interview. unfortunately, you were not hired, because measurements recorded during these questions indicated that you were lying. what is the most likely explanation for this?
it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant
While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.
However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.
In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.
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