Answer:
step 1. (g(12) - g(8))/12 - 8
step 2. (12(4)^(12 - 8) - 12(4)^(8 - 8))/4
step 3. 12(256) - 12)/4
step 4. 765.
2. Estimate the slope of the graph at x = 1
Answer:
Since
x = 1
is a vertical line, the slope is undefined.
Step-by-step explanation:
Undefined
help asap please!!!!
The midpoint of AB is M (1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?
Answer:
(3, 1)
Step-by-step explanation:
Let the coordinates of B be (x, y)
Since, M is the midpoint of AB.
Therefore, by mid point formula:
\(1 = \frac{ - 1 + x}{2}, \: \: \: 3 = \frac{5 + y}{2} \\ \\ 2 = - 1 + x, \: \: \: 6 = 5 + y \\ \\ 2 + 1 = x, \: \: \: 6 - 5 = y \\ \\ 3 = x, \: \: \: 1 = y \\ \\ x = 3, \: \: \: y = 1 \\ \\ B = (3, \: \: 1)\)
will give brainliest to quickest answer
Answer:
The vertex is option C: (-6, -2)
Step-by-step explanation:
The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)
Pls mark brainliest.
A trough is 8 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 11 ft3/min, how fast (in ft/min) is the water level rising when the water is 4 inches deep
We are given that a trough is 8 ft long and has ends with the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. The trough is being filled with water at a rate of 11 ft³/min. We need to find out how fast the water level is rising when the water is 4 inches deep.
Let's first convert the depth of water from inches to feet.
1 inch = 1/12 ft
So, 4 inches = 4/12 ft = 1/3 ft
The volume of water in the trough is given by the formula:
V = lwh
where,
l = length of the trough = 8 ft
w = width of the trough (top width of the isosceles triangle) = 2 ft
h = depth of the water
We know that the height of the isosceles triangle is 1 ft. So, the height of the water is also h = 1 - 1/3 = 2/3 ft.
Substituting the values in the formula, we get:
V = 8 * 2 * (2/3)
V = 10.67 ft³
Now, we differentiate both sides of the formula with respect to time to get the rate of change of volume of water with respect to time.
dV/dt = l(dh/dt)w
We are given that the water is being filled at a rate of 11 ft³/min.
So, dV/dt = 11 ft³/min
l = 8 ft
w = 2 ft
Substituting the values, we get:
11 = 8 * (dh/dt) * 2
dh/dt = 11 / (8*2)
dh/dt = 0.6875 ft/min (approx)
Therefore, the water level is rising at a rate of 0.6875 ft/min when the water is 4 inches deep.
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Line segment AB measures 18 units. A number line with no numbers. A closed circle above the line is labeled A. A closed circle nine notches down the line is labeled B. The space between point A and the next notch is labeled d. What is d, the distance between tick marks on the number line? 1 unit 2 units 3 units 9 units
Answer: 2 units
Step-by-step explanation:
Given that :
Length of of line segment (AB) = 18 Units
d = distance between point A and successive notch
Number of notches between point A and B = 9
If the length of line AB = 18 units and the number of notches between point A and B = 9
Then distance d, between successive tick marks :
Length of Line segment / number of notches or tick marks between A and B
= 18 units / 9
= 2 units.
Hence distance between tick marks on the number line is 2 units.
Answer:
its b
Step-by-step explanation:
b on edu 2020
(b) suppose you want to estimate the average age of all boeing 727 airplanes now in active domestic u.s. service. you want to be 95% confident and you want a margin of error of 2 years. suppose the population standard deviation is 6.24 years. how large a sample should you take?
37.40 is large a sample should you take in confidence interval.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval. If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.For the 95% confident interval of population mean , the margin of error (ME)
ME = Z 1 - 0.05/2 5/√n
2 = 1.96 * 6.24/√n
n = ( 1.94 * 6.24/2)²
n = 37.40
the required sample size (n) is 38 .
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Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Suzy have?
Please show your work :)
Answer:
Quarters = 20
Dimes = 14
Step-by-step explanation:
Dime = x = 10 cent = $0.1
Quarter = y = 25 cent = $0.25
x + y = 34 - - - (1)
0.1x + 0.25y = 6.40 - - - - (2)
From (1)
x = 34 - y
0.1(34 - y) + 0.25y = 6.40
3.4 - 0.1y + 0.25y = 6.40
3.4 + 0.15y = 6.40
0.15y = 6.40 - 3.40
0.15y = 3
y = 3 / 0.15
y = 20
x = 34 - y
x = 34 - 20
x = 14
Quarters = 20
Dimes = 14
Ex2. Prime Numbers ( 40 points) You will implement in this exercise an ancient Greek algorithm for finding the prime numbers less than a given number. (ask your instructor about the name of the algorithm after class!) Reminder: A prime number is a positive integer greater than 1 that is divisible only by itself and by 1 . Here is how the algorithm works assuming we would like to find the prime numbers ≪=20 : 1. Initially, assume that all the numbers are prime by marking them with 1 (0 means not prime). 2. For each number that is marked as prime, starting at 2, mark all of its multiples as not prime. which marks all the multiples of num in the array (of size n ) as not prime (excluding num). 2. Write a program that prints the prime numbers κ=150 : a) Create and initialize an array for marking the numbers with 0 (not prime) or 1 (prime). b) For every number 2<=i<150, use function cross_multiples_out to mark all of its multiples as not prime. c) Pass through the array and print the numbers marked as prime.
Previous question
The code efficiently identifies prime numbers using the ancient Greek algorithm. It initializes an array, marks the multiples of each prime number as non-prime, and then prints the prime numbers.
This algorithm demonstrates a straightforward and efficient method for finding prime numbers within a given range.The ancient Greek algorithm for finding prime numbers less than or equal to a given number is implemented in the provided Python code. The algorithm follows a simple approach of marking numbers as prime or non-prime.
It starts by assuming all numbers as prime and then proceeds to mark the multiples of each prime number as non-prime. The code initializes an array where each element represents a number and marks them all as prime initially. Then, it iterates over each number from 2 to the given number, checking if it is marked as prime. If it is, the algorithm crosses out all its multiples as non-prime. Finally, it prints the numbers that remain marked as prime.
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can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
What is the process of the federal congress to making a law
Answer:
The Bill Begins. Laws begin as ideas.
The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.
The Bill Is Introduced.
The Bill Goes to Committee.
The Bill Is Reported.
The Bill Is Debated.
The Bill Is Voted On.
The Bill Is Referred to the Senate
Step-by-step explanation:
ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.
When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.
The mean of {6,8,2,12,5}
Answer:
6.6
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
6 + 8 + 2 + 12 + 5 = 33
33 / 5 = 6.6
plz mark brainliest
Help would be greatly appreciated. Image below.
Answer: Part A. a student must find the missing length by using the Pythagorean theorem.
The answer should come out to be x=2√26 or x=−2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)
Step-by-step explanation:
Let's make x the missing length. The Pythagorean theorem says the way to set up this equation is the leg^2 + leg^2 = hypotnues^2.
Set up the problem and solve, I'll show you how to do it: x²+11²2=15²
Step 1: Simplify both sides of the equation.
x² + 121=225
Step 2: Subtract 121 from both sides.
x² + 121−121=225−121
x² = 104
Step 3: Take square root.
x = ± √104
The answer should come out to be x = 2√26 or x = −2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)
Use the sum of the first 100 terms to approximate the sum of the series? 1/(n3 + 1).Estimate the error involved in this approximation.
The sum of first 100 terms of the series is 0.686 with error less than 0.00005
The given series is
Tₙ = \(\frac{1}{n_3 +1 }\)
Since, \(\frac{1}{n_3 +1 } < \frac{1}{n_3}\)
The given series is convergent by the comparison Test.
The remainder Tₙ for the comparison series ∑ 1/n³ was estimated in this example using the remainder estimate for the Integral Test.
There we found that
\(T_n \leq \int\limits^\infty_n {\frac{1}{x^3} \, dx\)
Solving the integration,
=> \(\int\limits^\infty_n \frac{-1}{2x^2}\, dx\)
=> \(\frac{1}{2n^2}\)
So, \(T_n \leq \frac{1}{2n^2}\)
Therefore , the reminder Rₙ for the given series satisfies
Rₙ ≤ Tₙ ≤ 1/2n²
with n = 100 we have
=> R₁₀₀ ≤ 0.00005
Using a programmable calculator , we find that
\(\sum^\infty_{n=1} \frac{1}{n^3 + 1} = \sum^\infty_{100=1} \frac{1}{n^3 + 1}\)
=> 0.686 (approximately)
with the error less than 0.00005
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if 3 = 75 how many 3s will it take to get to 1659
Answer:
≈22
Divide 1,659 by 75(3)75 × 2 = 150 important
Write 2 at the top of your division problem, subtract 150 by 165 short form of 1,659150 - 165 = 15(9) the 9 comes from dropping the ones place in 1,659
Reconsider how many times 75 goes into 1,659(22) and since we do not have any other numbers, we write 150 and 159, because again, 1,659 has to help us solve the problem by dropping the ones place.150 - 159 = 9
_______________________________________________________
With that information, the problem is solved! We got our exact estimate, and a remainder of 9 to make up for the missing 9 in 1,650! 22 × 75 = 1,650 so add 9, the remainder.
_______________________________________________________
What did we learn today?We learned how to do long division using remainders.
Still have questions? Ask me in the comments box, and I may be able to assist.
A chef has 15 3/4lb of beans. She packs them in freezer bags that weigh 2 1/4lb each.
How many freezer bags of beans does the chef pack?
Enter your answer in the box.
Answer:
7 bags
Step-by-step explanation:
Answer:
the answer is 7 i just took the test and i got a 100%
Step-by-step explanation:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first card is a red card and the second is a diamond
Answer:
1/ 8
Step-by-step explanation:
Given that:
Number of red cards in deck = 26
Number of diamonds in deck = 13
Number of cards in deck = 52
Recall :
Probability = required outcome / Total possible outcomes
Probability of choosing a red :
P(red) = 26 / 52 = 1/2
With replacement :
Probability of diamond :
P(diamond) = 13 / 52 = 1/4
Hence,
Probability of first card red, then second card diamond equals
P(red) * P(diamond)
1/2 * 1/4
= 1/8
Two angles have the same measure. What are their measures if they are also complementary angles? Supplementary angles?
Why median is better than mean?
Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is
The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.
However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.
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a student claims that a 180 degree rotation of a vertical angle will always map to the other vertical angle thus proving that they are congruent. the teacher asks how the student knows that 180 degrees will land it exactly on the vertical angle. how should the student respond ?
Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle
To Determine: The prove that the vertical angles are congruent
Draw and label to vertical lines with an angle
The 180 degree rotation of the vertical angle BOC would give:
Note that the other vertical would be AOD
The students should respond that
\(\begin{gathered} m\angle BOC\cong m\angle\text{AOD} \\ \text{This is because vertically opposite angles are equal} \end{gathered}\)Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:
The vertical angles are vertically opposite to each other
When your doing online and your bestie tells you to not text them because they don't want to get in trouble but then they be texting their online friends all the time and also posting stuff on Twitter.......
Answer:
Oh..Im so sorry that happened, Thats what you call fake friends
Step-by-step explanation:
what conditions on (positive) numbers a,b,c, and d will guarantee that every difference at every step in the expansion (a-b)(c-d) results in a positive number?
The conditions on the positive numbers a, b, c, and d that will guarantee that every difference at every step in the expansion (a-b)(c-d) results in a positive number are:
1. a > b
2. c > d
This will ensure that the difference between a and b, as well as the difference between c and d, are both positive numbers. Therefore, when these two differences are multiplied together in the expansion (a-b)(c-d), the result will be a positive number.
For example, if a=5, b=2, c=8, and d=3, then the expansion (a-b)(c-d) will result in a positive number:
(5-2)(8-3) = (3)(5) = 15
As long as the conditions a > b and c > d are met, the expansion (a-b)(c-d) will result in a positive number.
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In a simple regression problem, the following data is shown below: Standard error of estimate Se= 21, n = 12. What is the error sum of squares? a. 4410 O b. 252 O c. 2100 O d. 44100
The error sum of squares (SSE) is a measure of the variability or dispersion of the observed values around the regression line.
It is calculated by summing the squared differences between the observed values and the predicted values from the regression line. The formula for SSE is given by: SSE = Σ(yᵢ - ŷᵢ)². where yᵢ represents the observed values and ŷᵢ represents the predicted values from the regression line. In this case, the standard error of estimate (Se) is provided as 21, which is the square root of the mean squared error (MSE). Since the MSE is equal to SSE divided by the degrees of freedom (n - 2) for a simple regression problem, we can use this information to calculate SSE. Se² = MSE = SSE / (n - 2). Rearranging the equation: SSE = Se² * (n - 2). Substituting the given values: SSE = 21² * (12 - 2).SSE = 441 * 10. SSE = 4410. Therefore, the error sum of squares is 4410. Option a) is the correct answer.
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just need those answers
6x+19+x = 180
7x+19 = 180
subtract 19 from both sides
7x = 161
divide both sides by 7
x = 23 degrees
6(23)+19 = 138+19 = 157
<DBC = 23 degrees
<ABC = 157 degrees
Which of the following represents 2x-5y + 15 = 0 written in slope-intercept form?
Oy=x+3
Oy=2x-3
Oy=-3x+3
Which characters in the function shown represent the arguments?
=MAX(B2:B6,C4,100)
=
MAX
(B2:B6,C4,100)
( ,
Answer:
C
(B2:B6,C4,100)
Step-by-step explanation:
edg 2020!!!
An illustration of a four-argument functional is the hypergeometric function. (B2:B6,C4,100) is the argument of the given function.
What is an argument of a function?An argument is a value that is supplied to a function in mathematics in order to acquire the function's outcome. Another name for it is an independent variable. The binary function, for instance, takes two arguments, as well as, in the form of an ordered pair. An illustration of a four-argument functional is the hypergeometric function.
Astronomy, which historically utilized tables to establish the geographical positions of planets given their positions in the sky, is where the name "argument" in this sense originated. (B2:B6,C4,100) is the argument of the given function.
Therefore, (B2:B6,C4,100) is the argument of the given function.
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Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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Simplify the quantity negative 7 times a to the 3rd power times b to the negative 3 power end quantity divided by the quantity 21 times a times b end quantity. −3a2b4 negative one times the quantity 3 times a squared end quantity divided by b to the fourth power negative one times a squared divided by the quantity 3 times b to the fourth power end quantity negative one times a squared divided by the quantity 3 times b to the second power
The Simplified form of the second expression is -1/3.
The given expression, let's break it down step by step:
Expression: (-7a^3b^-3) / (21ab)
First, let's simplify the numerator:
-7a^3b^-3 = -7 * (a^3) * (1/b^3) = -7a^3/b^3
Now, let's simplify the denominator:
21ab = 3 * 7 * a * b = 3 * (7ab)
Now, let's rewrite the expression with the simplified numerator and denominator:
(-7a^3/b^3) / (3 * 7ab)
Next, let's simplify further:
The -7 in the numerator can be cancelled out with the 7 in the denominator:
(-a^3/b^3) / (3 * a * b)
We can simplify further by canceling out the common factors in the numerator and denominator:
(-1/b^3) / (3 * a)
To divide by a fraction, we can multiply by its reciprocal:
(-1/b^3) * (1 / (3 * a))
This simplifies to:
-1 / (3 * a * b^3)
Therefore, the simplified form of the expression is -1 / (3 * a * b^3).
Now let's simplify the second expression:
Expression: (-3a^2b^4) * (1 / (3a^2 / b^4)) * (1 / (3b^2))
To simplify, we can multiply the terms and divide as necessary:
(-3a^2b^4) * (b^4 / (3a^2)) * (1 / (3b^2))
Simplifying further:
-3a^2b^4 * b^4 / (3a^2 * 3b^2)
Cancelling out common factors:
-1 / 3
Therefore, the simplified form of the second expression is -1/3.
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In how many ways can the deck be dealt so that each player receives 5 cards, with 4 cards left in the middle, one of which is turned face-up
A deck can be dealt in 1,302,540 ways so that each player gets five cards, with 4 cards left in the middle, one of which is turned face-up.
In a game of poker, the deck of cards is dealt in many ways. In a game where each player receives five cards and 4 cards remain in the middle, one of which is turned face-up. The number of ways to deal the deck in this game is calculated as follows: First, we have to select the 5 cards that will be dealt to the first player. This can be done in C(52,5) ways.
Next, we have to select the next 5 cards that will be dealt to the second player. This can be done in C(47,5) ways. For the third player, we have to select 5 cards from the remaining 42 cards, and so on. Ultimately, the final card is selected and turned face-up, which can be done in one way. Therefore, the total number of ways to deal the deck is: C(52,5) * C(47,5) * C(42,5) * C(37,5) * C(32,5) * 4 * 1 = 1,302,540 ways.
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Find all values of the scalar k for which the following vectors are orthogonal: u=[k,k,−2],v=[−5,k+2,5]
The vectors u and v are orthogonal when k equals 5 or -2.
Two vectors u and v are orthogonal if their dot product is equal to zero. The dot product of two vectors u and v is given by the formula:
u · v = u₁ × v₁ + u₂ × v₂ + u₃ × v₃
where u₁, u₂, u₃ are the components of vector u, and v₁, v₂, v₃ are the components of vector v.
Let's calculate the dot product of u and v:
u · v = (k × -5) + (k × (k + 2)) + (-2 × 5)
= -5k + k² + 2k - 10
= k² - 3k - 10
For the vectors to be orthogonal, the dot product must be zero:
k² - 3k - 10 = 0
To solve this quadratic equation, we can factor it or use the quadratic formula:
(k - 5)(k + 2) = 0
From this equation, we can see that the values of k that satisfy the equation are:
k = 5 or k = -2
Therefore, the vectors u and v are orthogonal when k equals 5 or -2.
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