As per the given equation, the stone was dropped from a height of approximately 1.08 feet or about 13 inches.
The velocity of a free-falling object is an important concept in physics, and it is defined by the equation:
v = 2gh
In this equation, v represents the velocity of the object in feet per second, g represents the acceleration due to gravity in feet per second per second, and h represents the distance that the object has fallen in feet.
Suppose a stone is dropped from a certain height and strikes the water with a velocity of 138 feet per second. Our task is to estimate the height from which the stone was dropped.
To solve this problem, we need to rearrange the equation to solve for h. We start by dividing both sides of the equation by 2g:
h = v/2g
Substituting the given values, we get:
h = 138/2(32) = 1.078125
To know more about equation here
https://brainly.com/question/10413253
#SPJ1
On a cold winter morning, the temperature was -4F. By noon, the temperature increased 4. What was the temperature at noon?
Answer:
0° F
Step-by-step explanation:
add 4 to -4, you should get zero
Answer: 0° F
Step-by-step explanation:
add 4 to -4, you should get zero
The results from a research study in psychology are shown in the accompanying table. Create a spreadsheet to approximate the total number of extra points earned on the exam using Simpson's rule. Number of hours of study, x 1 2 3 4 5 6 7 8 9 10 11 Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED The total number of extra points earned is approximately (Type an integer or a decimal.
The total number of extra points earned is approximately 214 using Simpson's Rule.
Simpson's rule is a technique of numerical integration that approximates the value of a definite integral of a function by using quadratic functions. Here, you are supposed to create a spreadsheet to estimate the total number of extra points earned on the exam using Simpson's rule.Here is the table provided:
Number of hours of study, x1 2 3 4 5 6 7 8 9 10 11
Rate of extra points 4 8 14 11 12 16 22 20 22 24 26 earned on exam, f(x) OCIED
We first calculate h and represent it as follows:
h = (b-a)/nwhere b = 11, a = 1, and n = 10.
Therefore, h = (11-1)/10 = 1.
Substituting the values into the Simpson's Rule formula, we have:
∫ba{f(a) + 4f(a+h) + 2f(a+2h) + 4f(a+3h) + ... + 2f(b-h) + 4f(b-2h) + f(b)} / 3n
We have 10 intervals. Thus we have:
∫1111 {4 + 4(8) + 2(14) + 4(11) + 2(12) + 4(16) + 2(22) + 4(20) + 2(22) + 4(24) + 26} / 30≈ 214.0
To know more about integration:
https://brainly.com/question/31744185
#SPJ11
I will give brainliest and 10 points for these answers
Answer:
If you need help with questions I'd be happy to help.
Step-by-step explanation:
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
A metronome is a device that ticks at adjustable intervals to help keep time when playing music. The metronome on Ryan’s piano has the basic shape below.
A square pyramid. The base is 9 centimeters by 9 centimeters. The triangular sides have a base of 9 centimeters and height of 20.5 centimeters. The pyramid has a height of 20 centimeters.
If the metronome was created out of a piece of solid wood, what is the minimum amount of solid wood that was used?
Answer:
\(540cm^{3}\)
Step-by-step explanation:
What are the like terms in 3x 3 2y and 2 XY x2?
The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.
3x (3 - 2y) = 3x * 3 - 3x * 2y = 9x - 6xy2 (xy + x²) = 2 * xy + 2 * x² = 2xy + 2x²What are like terms in math equations?Like terms are terms which have the same variables and exponents. In this case, the like terms are -6xy and 2xy because they both have the same variable (xy) and exponents (1). In algebra, like terms can be added or subtracted to simplify an expression. Like terms are terms which have the same variables and exponents.
Learn more about like terms :
https://brainly.com/question/29171248
#SPJ4
- Select all expressions that are equivalent to -96x + 120.
A. 8(-12x+15)
B. -12(8x-10)
C. -8(12x+15)
Answer:
A and B are equivalent to -96x + 120
Step-by-step explanation:
-96x + 120
A. 8 (-12x + 15)
8 * -12x = -96x
8 * 15 = 120
8 (-12x + 15) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
B. -12 (8x - 10)
-12 * 8x = -96x
-12 * -10 = 120
-12 (8x - 10) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
C. -8 (12x + 15)
-8 * 12x = -96x
-8 * 15 = -120
-8 (12x + 15) = -96x-120
-96x + 120 ≠ -96x - 120
Not Equivalent
What expression is equivalent to 4 (3x-2)
Answer:
12x-8
Step-by-step explanation:
In order to take away the parentheses, we have to multiply all terms inside the parentheses by 4. 4*3x = 12x, and -2*4 = -8. So we can determine at 4(3x-2) = 12x-8.
There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?
Answer:
(2,800/1,500) * 100 = 187%
Step-by-step explanation:
Solve for x+6y=-2 to slope intercept form
Answer:
y=-1/6x-1/3
Step-by-step explanation:
x+6y=-2
6y=-2-x
y=-1/6x-1/3
Ravindra' monthly income i rupee 90000. After pending on variou expenditure, he manage to ave rupee 40000 per month. What percentage of hi income doe he ave?
The percentage of his income he saved is 44.4%.
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.
In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".
If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:
percentage = (40,000/90,000) x 100% = 44.4%
Hence, she saves 44.4% of his income per month.
Learn more about percentages here: https://brainly.com/question/24877689
#SPJ4
For which value of x is the equation 2(1 + x) = x+3 true?
a.1
b.2
c.3
d.4
Answer:
a. 1
Step-by-step explanation:
Replace 1 with x
2 ( 1 + 1 ) = 1 + 3
2 ( 2 ) = 1 + 3
4 = 1 + 3
4 = 4
[Piece Rate] Rate $3.00; 91 pieces produced
(Requires Calculus) In the equation = 607.3 + 3.85 Income - 0.0423 Income2, the following income level results in the maximum test score:
A. 607.3.
B. 91.02.
C. 45.50.
D. cannot be determined without a plot of the data.
The income level that results in the maximum test score is approximately $45.63.. The correct answer is not provided among the given options.
To find the income level that results in the maximum test score, we need to determine the maximum point of the function represented by the equation: 607.3 + 3.85Income - 0.0423Income^2.
To find the maximum point, we can take the derivative of the function with respect to Income and set it equal to zero. Then we solve for Income.
Let's differentiate the function:
d/dIncome (607.3 + 3.85Income - 0.0423Income^2) = 3.85 - 2 * 0.0423 * Income
To find the maximum point, we set the derivative equal to zero:
3.85 - 2 * 0.0423 * Income = 0
Simplifying:
3.85 = 2 * 0.0423 * Income
Dividing both sides by 2 * 0.0423:
Income = 3.85 / (2 * 0.0423)
Income ≈ 45.63
Therefore, the income level that results in the maximum test score is approximately $45.63.
Among the given answer choices:
A. 607.3 is the constant term in the equation and does not represent an income level.
B. 91.02 is not the income level that results in the maximum test score.
C. 45.50 is close to the correct answer, but the correct approximation is $45.63.
D. The correct answer has been determined using calculus.
So, the correct answer is not provided among the given options.
Learn more about income from
https://brainly.com/question/30157678
#SPJ11
In nearby Missouri, slavery was .
Answer:
Im only assuming, but the options may be
A) legal
B) illegal
Step-by-step explanation:
The correct answer is
A) legal
On edge, I did the assignment and it's right
Given f(x)=x^2-4x+4 find the value(s) for x such that f(x)=25
NEED HELP BAD PLEASSEEEEE I CANT GET ANOTHER QUESTION WRONG
Answer:
C
Step-by-step explanation:
After selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes.
Part A:
What is the total amount of money earned?
Part B:
Max and Gwen decide to divide the money equally. Max said that he and Gwen cannot get even amounts of money because 5 one-dollar bills cannot be divided evenly. Do you agree with Max? Explain.
a) The total amount of money earned is 7.30 dollars.
b) Max is wrong, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
a) To find the total amount of money earned, we need to convert the number of quarters and dimes to dollars.
6 quarters = 6 * 0.25 = 1.50 dollars
8 dimes = 8 * 0.10 = 0.80 dollars
The total amount of money earned is:
5 dollars + 1.50 dollars + 0.80 dollars = 7.30 dollars
b) Max is incorrect. The total amount of money earned is an odd number ($7.30), which means it is impossible to divide it equally between two people in whole dollar amounts. However, it is possible to divide the total amount equally if we allow for fractions of a dollar.
For example, if we split the money equally, Gwen and Max would each get $3.65. This means that Gwen would get 3 dollars and 65 cents, while Max would also get 3 dollars and 65 cents.
Therefore, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
To learn more about money click on,
https://brainly.com/question/14865967
#SPJ1
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
The area of a rectangle is 54 ft?, and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.
Answer:
prim
Step-by-step explanation:
HELLO I NEED HELP PLS
ps. this is adjusting entries in accounting
Directions: PREPARE ADJUSTING ENTRIES FOR THE FOLLOWING; TAKE NOTE THAT THE COMPANY IS USING THE CALENDAR YEAR.
1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019. How to record the
adjusting entries?
2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019. How to record the
adjusting entries?
3. Papa Co. rents out its building to a tenant for a monthly rent of P50,000. As of December
31, 2018, the tenant has not yet paid the rent for the month of December. How to record adjusting entries?
PLSS I NEED ANSWERS AND EXPLANATION TOO
It has been claimed that the best predictor of todays weather is todays weather. Suppose in the town of Octapa, if it rained yesterday, then there is a 60% chance of rain today, and if it did not rain yesterday there is an 85% chance of no rain today. A) find the transition matrix describing the rain probabilities. B) if it rained monday, what is the probability it will rain Wednesday? C) if it did not rain Friday, what is the probability of rain Monday? D) using the matrix from A. find the steady-state vector. use this to determine the probability that it will be raing at the end of time.
Therefore, the probability that it will be raining at the end of time is 37.5%.
A) To describe the transition matrix, we can use the following notation: R = It will rain N = It will not rain
Since it is given that if it rained yesterday, then there is a 60% chance of rain today, and if it did not rain yesterday there is an 85% chance of no rain today.
Thus, the transition matrix would be as follows:| P(R/R) P(N/R)| P(R/N) P(N/N)| = |0.6 0.4| |0.15 0.85|
B) If it rained Monday, then we need to find the probability that it will rain Wednesday.
We can find this by multiplying the probability of rain on Wednesday given that it rained on Monday and the probability that it rained on Monday.
Thus, the probability of rain on Wednesday, given that it rained on Monday would be:0.6 x 0.6 = 0.36So, there is a 36% chance that it will rain on Wednesday given that it rained on Monday.
C) If it did not rain Friday, then we need to find the probability of rain on Monday. Using Bayes' theorem, we can write: P(R/M) = P(M/R)P(R)/[P(M/R)P(R) + P(M/N)P(N)]where, M = It did not rain Friday= 0.15 (from the transition matrix)P(R) = Probability of rain = 0.6 (given in the problem)P(N) = Probability of no rain = 0.4 (calculated from 1 - P(R))P(M/R) = Probability of it not raining on Friday given that it rained on Thursday = 0.4P(M/N) = Probability of it not raining on Friday given that it did not rain on Thursday = 0.85Substituting these values, we get: P(R/M) = 0.4 x 0.6/[0.4 x 0.6 + 0.85 x 0.4] = 0.31 So, there is a 31% chance of rain on Monday given that it did not rain on Friday.
D) The steady-state vector is the vector that describes the probabilities of being in each of the states in the long run. To find the steady-state vector, we need to solve the following equation: πP = πwhere,π = steady-state vector P = transition matrix Substituting the values from the transition matrix, we get:| π(R) π(N)| |0.6 0.4| = | π(R) π(N)| | π(R) π(N)| |0.15 0.85| | π(R) π(N)|
Simplifying this, we get the following two equations:π(R) x 0.6 + π(N) x 0.15 = π(R)π(R) x 0.4 + π(N) x 0.85 = π(N) Solving these equations, we get: π(R) = 0.375π(N) = 0.625So, the steady-state vector is:| π(R) π(N)| = |0.375 0.625|This means that in the long run, there is a 37.5% chance of rain and a 62.5% chance of no rain.
To Know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight. eleven square root of two minus five square root of seven eleven square root of four minus five square root of fourteen six square root of five six square root of nine
Squares are the numbers that are produced when a value is multiplied by itself.
If expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\) then the value exists \($11 \sqrt{2}-5 \sqrt{7}$\).
What is meant by square root?The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself.
Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root exists a value that, when multiplied by itself, returns the original value.
The original number can be attained by multiplying the square root of an integer by itself.
Only a perfect square number can have a perfect square root. Even perfect squares have an even square root. An odd perfect square will contain an odd square root. A perfect square cannot be negative and hence the square root of a negative number exists not defined.
Let the expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)
Now, \($\sqrt{8}=\sqrt{2 \times 2 \times 2}=2 \sqrt{2}$\)
\($\sqrt{28}=\sqrt{2 \times 2 \times 7}=2 \sqrt{7}$\)
therefore \(9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)
simplifying the given expression, we get
\($=9 \sqrt{2}-3 \sqrt{7}+2 \sqrt{2}-2 \sqrt{7}$\)
\($=9 \sqrt{2}+2 \sqrt{2}-3 \sqrt{7}-2 \sqrt{7}$\)
\($=11 \sqrt{2}-5 \sqrt{7}$\)
Therefore, the correct answer is option a) \($11 \sqrt{2}-5 \sqrt{7}$\)
The complete question is:
Simplify \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)
a) \($11 \sqrt{2}-5 \sqrt{7}$\)
b) \($11 \sqrt{4}-5 \sqrt{14}$\)
c) \($6 \sqrt{5}$\)
d) \($6 \sqrt{9}$\)
To learn more about square root refer to:
https://brainly.com/question/428672
#SPJ4
The figure below shows two pair of congruent triangles. ΔDEF ≅ ______. ΔWXY ΔWYX ΔYWX ΔYXW
Answer:
YXW
Step-by-step explanation:
Answer:
YXW
Step-by-step explanation:
please help need to turn in soon
Answer:
No
yes
no
yes
Step-by-step explanation:
your welcomeeeeeeeee
in hiw many ways can the letters of the word AZUCARERA be arranged
Answer:
30240 arrangements
Step-by-step explanation:
9!/(2!×3!)
Drag each expression to show whether it is equivalent to −2.6−(−5.9) -2.6 x - -5.9 x , −2.6+(−5.9) -2.6 x + -5.9 x , or neither.
Answer:
\(-2.6x-(-5.9x)\) is equivalent to \(-2.6x+5.9x\) and \(5.9x+(-2.6x)\)
\(-2.6x+(-5.9x)\) is equivalent to \(-2.6x-5.9x\) and \(-5.9x+(-2.6x)\).
The expressions which are equivalent to neither:
\(-5.9x+2.6x\) and \(5.9x-(-2.6x)\)
Step-by-step explanation:
Given the expressions:
1) \(-2.6x-(-5.9x)\)
2) \(-2.6x+(-5.9x)\)
To find:
The expressions equivalent to the given expressions.
or the expressions which are not equivalent to any of the given expressions.
Solution:
First of all, let us solve the brackets from the given expressions.
\(-2.6x-(-5.9x)\) can be written as \(-2.6x+5.9x\) (because when we multiply a negative sign with negative, it becomes positive.)
Similarly \(-2.6x+(-5.9x)\) can be written as \(-2.6x-5.9x\) (because when we multiply a positive sign with negative, it becomes negative.)
Therefore, the answer is:
\(-2.6x-(-5.9x)\) is equivalent to \(-2.6x+5.9x\) and \(5.9x+(-2.6x)\)
\(-2.6x+(-5.9x)\) is equivalent to \(-2.6x-5.9x\) and \(-5.9x+(-2.6x)\).
The expressions which are equivalent to neither:
\(-5.9x+2.6x\) and \(5.9x-(-2.6x)\)
you are taking a quiz that has 11 multiple-choice questions. if each question has 3 possible answers, how many different ways are there to answer the test?
when meters are longer and more complex we use the term
When meters are longer and more complex, we use the term "kilometer."
A kilometer is a unit of length in the metric system, and it is equal to 1,000 meters. The prefix "kilo-" denotes a factor of 1,000, so when we use the term "kilometer," we are referring to a measurement that is 1,000 times longer than a meter.
The use of kilometers is common in various contexts where longer distances are involved.
For example, when measuring the distance between cities or countries, or when discussing the length of roads, highways, or large-scale projects, kilometers are often used as the preferred unit of measurement.
Kilometers provide a convenient way to express distances that would be cumbersome to represent in meters. They allow for easier visualization and comprehension of larger distances, as they condense the number of digits required to express the measurement.
Additionally, the use of kilometers aligns with the decimal-based nature of the metric system, facilitating conversions and calculations.
In summary, the term "kilometer" is employed when meters become longer and more complex, representing a unit of measurement that is 1,000 times greater than a meter and facilitating the expression of larger distances in a more manageable and efficient manner.
To know more about meters refer here:
https://brainly.com/question/15076015#
#SPJ11
The veterinarian sees 25 dogs and 11 cats during a week of appointments. Write a ratio representing cats to the total appointments
The ratio of cats to total appointments is 11:36, or 11 cats for every 36 appointments.
The ratio of cats to total appointments is 11:36, which means that there are 11 cats for every 36 appointments. This ratio is calculated by taking the number of cats (11) and dividing it by the total number of appointments (25 dogs and 11 cats, or 36 appointments). This ratio helps show the relative amount of cats compared to all of the other appointments. It can be useful in determining the types of animals seen by the veterinarian, as well as the relative amount of cats seen compared to other animals. Knowing this ratio can also help the veterinarian determine how many cats should be seen in a given week, and what types of resources should be allocated to seeing cats. This ratio can be a helpful tool for the veterinarian when making decisions about the types of animals seen and the resources allocated for them.
Learn more about ratio here
https://brainly.com/question/13419413
#SPJ4