what is the percent of decrease from 68 to 34
Answers
Answer:
50%
Step-by-step explanation:
If 68 represents 100% then
34 represents x %
Calculate x
x = (34 · 100) / 68 = 50% (makes sense because 34 is half of 68)
So the percent of decrease from 68 to 34 is 50%
Related Questions
Which number makes the number sentence true?
0.64 < ____
A. 0.6
B. 0.7
C. 0.63
D. 0.07
Answers
Answer:
The correct answer is letter B, 0.7
Step-by-step explanation:
Hope this help
katherine gives piano lessons for $15 per hour. she also grows flowers, which she arranges and sells at the local farmer’s one day she spends 5 hours planting $50 worth of seeds in her garden. once the seeds have grown into flowers, she can sell them for $150 at the farmer’s market. katherine’s accounting profits are
Answers
Katherine will make a profit of $100.
To calculate the profit, we need to calculate the total revenue and the total cost. The total cost includes the cost of growing flowers, and the total revenue includes the amount from selling the flowers as well as the money made from piano lessons.The total cost is given by the sum of the cost of planting seeds and growing flowers.
Cost of planting seeds = $50
Total hours spent in planting seeds = 5
Cost of growing flowers = 0 (because the problem doesn’t state how much it costs to grow flowers)
Total Cost = Cost of planting seeds = $50
Total Revenue:The total revenue is given by the sum of the money earned from selling the flowers and the money earned from giving piano lessons.
Money earned from selling flowers = $150
Money earned from piano lessons = 0 (because it is not mentioned in the problem)
Total Revenue = Money earned from selling flowers = $150
Profit:Total profit is given by the difference between total revenue and total cost.
Profit = Total Revenue - Total Cost = $150 - $50 = $100
Therefore, A profit of $100 is made by Katherine.
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If f(x) = 4 x^2-1 then what is f(1) ?
Answers
The value of the quadratic function f(x) = 4x² - 1 at x = 1 will be 3.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = 4x² - 1
At x = 1, then the value of the function will be given as,
f(1) = 4(1)² - 1
f(1) = 4 - 1
f(1) = 3
The value of the quadratic function f(x) = 4x² - 1 at x = 1 will be 3.
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suppose kruskal’s kingdom consists of n ≥ 3 farmhouses, which are connected in a cyclical manner.
Answers
Kruskal's kingdom is said to be connected in a cyclic manner. If n≥3 farmhouses, there are different ways in which these farmhouses can be connected. In this case, Kruskal's kingdom is connected in a cyclic manner.
This means that the farmhouse circuit can be made up of cycles that pass through all the farms.Suppose we take n=3. In this case, there are two ways in which the farmhouses can be connected. The first way is to connect all the three farms together. This forms a triangle with the farms being at each corner of the triangle. The second way is to connect the farmhouses in a straight line.
The farms are then in a line from the first farm to the third farm.The number of possible ways in which the farmhouses can be connected in a cyclic manner increases as n increases. If there are n farmhouses, then there are (n-1)!/2 different ways in which the farmhouses can be connected. Therefore, there are (n-1)!/2 different possible ways in which Kruskal's kingdom can be connected.
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list and describe two specialized alternatives not often used as a continuity strategy. quizlet
Answers
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
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3. The hyperbolic cosine function [40 points]: The cosh function can be evaluated by the following infinite Taylor series cosh(x)=1+
2!
x
2
+
4!
x
4
+⋯ (a) Write a function that needs as an input the value of x and the acceptable true percent error from the user and then it calculates cosh(x) using the above series until the acceptable error is satisfied. Make sure that the function does the following: i. stores the true percent relative error (ε
t
%) for each number of terms taken from the series in an array. ii. plots the true percent relative error as a function of the number terms. Make sure to label the x− axis, the y-axis and to add a legend. The plot has to be logarithmic on both x and y axes (i.e. loglog plot which can be done by using loglog instead of plot) iii. times itself using tic; toc; (b) Run the function for the case x=1 and with acceptable error of 10
−13
%. Report the final plot, and the time of the calculation (using tic toc). (c) From your log-log plot in part (b), how many terms are enough to reach percent relative error less than 10
−8
%.
Answers
The number of terms required to reach a percent relative error less than 10^(-8) for calculating cosh(x) using the Taylor series is approximately [17] terms.
To calculate the hyperbolic cosine function (cosh(x)) using the given Taylor series, we can iterate through the series until the acceptable true percent error is satisfied. We start by defining a function that takes the value of x and the acceptable true percent error as inputs. Within the function, we initialize an array to store the true percent relative error for each number of terms taken from the series.
Next, we iterate through the series by incrementing the number of terms until the true percent relative error falls below the acceptable error threshold. For each iteration, we calculate the value of cosh(x) using the Taylor series and compute the true percent relative error. We store this error value in the array.
Once the loop finishes, we plot the true percent relative error as a function of the number of terms on a logarithmic scale using a log-log plot. The x-axis represents the number of terms, and the y-axis represents the true percent relative error. We also add labels and a legend to the plot.
To measure the time taken for the calculation, we use the tic and toc functions in MATLAB. By placing tic at the beginning of the calculation and toc at the end, we can obtain the elapsed time.
Running the function for x=1 with an acceptable error of 10^(-13) allows us to determine the number of terms required to achieve a percent relative error less than 10^(-8). From the log-log plot, we can observe the point where the true percent relative error drops below the threshold. By reading the corresponding x-axis value, we can determine the number of terms needed.
The final plot and the calculation time provide visual and quantitative information about the accuracy and efficiency of the Taylor series approximation for cosh(x) in relation to the number of terms used.
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a number is 4 more than 45% of d (11 points bc im new please help quick)
Answers
\(x = 0.45d + 4\)
1/2 divided by 2 equal to?
Answers
Answer:
1/4
Step-by-step explanation:
First, make 2 into a fraction by putting it over 1.
1 2
÷
2 1
Then using the keep, change, flip method or the multiply by the reciprocal (opposite) change the fractions so that the division sign is multiplication, and switch the second number's numerator and denominator, and multiply across.
1 1 = 1
x
2 2 4
Your answer is 1/4, or 0.25
3. an farmer is testing to see how different amounts of nitrogen infused in the soil will impact the height of her corn plants. she puts two corn plants into two pots. one is filled with nitrogen infused soil and the other is not. she puts the regular soil pot outside and the nitrogen infused plant in her bathroom. the corn in the regular soil grows to 7 feet tall and the corn in the nitrogen soil grows to 2 feet tall. what are her variables?
Answers
The variables of farmer are independent variables and dependent variables.
In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:
1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).
2. Dependent variable: The height of the corn plants (measured in feet).
However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.
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A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
Answers
Answer:
a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50
Step-by-step explanation:
a. What is the practical domain of the function?
Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.
b. What is the practical range of the function?
Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.
c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.
ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50
X + 3y =5y
-x + 2y =0
Answers
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
GO C. √74.-77-57 d√√75,-77-57 Find the magnitude of the vector from the origin to (-7.-5) and write the vector as the sum of unit vectors. a. √74.77 +57 b. √75.77 +57 Please select the best
Answers
The answer is option a: √74.77 +57. To find the magnitude of the vector from the origin to (-7,-5).
We use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = 0, y1 = 0, x2 = -7, and y2 = -5, so we have:
distance = sqrt((-7 - 0)^2 + (-5 - 0)^2) = sqrt(49 + 25) = sqrt(74)
So the magnitude of the vector is sqrt(74).
To write the vector as the sum of unit vectors, we need to first find its direction. We can do this by finding the angle that the vector makes with the positive x-axis:
angle = atan(-5/-7) = atan(5/7) ≈ 0.62 radians
Now we can express the vector in terms of its components:
v = <-7, -5> = sqrt(74)*<cos(0.62), sin(0.62)>
To represent this vector as the sum of unit vectors, we divide it by its magnitude:
v/|v| = <cos(0.62)/sqrt(74), sin(0.62)/sqrt(74)>
So the answer is option a: √74.77 +57.
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The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.
A table with 6 columns and 2 rows. The first column, Original System has 2 y minus x equals 8 and y minus 2 x equals negative 5. The second column, Equivalent System, has 2 y minus x equals 8 and negative y plus 4 x equals 10. The third column, Sum of equations in Equivalent System, has 3 x equals 18. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has2 y minus x equals 8 and 3 x equals 18. The sixth column, Solution to New System is blank.
Which solution can be used to fill in both blanks in the table?
Answers
The solution to the system and the solution that fills the blank space is (6, 1)
System of equationsThis are also known as a set of simultaneous equations, also known as a system of equations which is a finite set of equations for which common solutions
Given the following system of equations
2y − x = 8, and
y − 2x = −5.
From equation 2;
y = -5 + 2x ............. 3
Substitute equation 2 into equation 1 to have:
2(-5+2x) - x = 8
Expand to have:
-10 +4x -x = 8
-10 + 3x = 8
3x = 8 + 10
3x = 18
Divide both sides
by 3
3x/3 = 18/3
x = 6
Substitute x = 6 into equation 3
y = -5 + 2x
y = -5 + 2(3)
y = -5 + 6
y = 1
Hence the solution to the system and the solution that fills the blank space is (6, 1)
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Answer:
Its D (6,7)
Step-by-step explanation:
Ms. Zheng drove 7 miles to a restaurant for lunch, she then drove 2 miles for
shopping, finally she drove 8 miles back home. How many miles did she drive in total?
I NEED THE ANSWER FAST PLEASE…..
Answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the side of a square whose diagonal is of the given measure.Given = 12*10^(1/2) ft.
Answers
We have to find the side of a square with a diagonal with length 12√10 ft.
We can sketch this as:
We can apply the Pythagorean theorem as:
\(\begin{gathered} a^2+a^2=(12\sqrt{10})^2 \\ 2a^2=12^2\cdot10 \\ 2a^2=144\cdot10 \\ a^2=\frac{144\cdot10}{2} \\ a^2=720 \\ a=\sqrt{720} \\ a=\sqrt{16\cdot9\cdot5} \\ a=4\cdot3\cdot\sqrt{5} \\ a=12\sqrt{5} \end{gathered}\)Answer: the square side length is 12√5
What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.
Answers
Answer:
beleive its 35
Step-by-step explanation:
Answer:
The mode hear is 32
Step-by-step explanation:
The mode is the number seen the most in a selected group.
Here is a Mnemonic to help remember what the 3 M's are:
'Hey diddle, diddle
the medians in the middle
add and divide for the mean
the mode is the one that you see the most
and the range is the difference between'
The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work
Answers
Answer:
Area = 72 square feet
Step-by-step explanation:
\(4(3x+3y)\)
Multiply the four to the values inside the parentheses to find the "equivalent expression"
\(12x +12y\)
Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if \(x=2\) and \(y = 4\)
\(12(2) + 12(4)\)
\(= 24 +48\)
\(= 72\)
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
8. Given MTW = BGK, find the values of x and y
9. Given PRS = CFH, find the values of x, y, and z
Answers
8. X= 12 Y= 35/11
9. X=23 Y= 7 Z= 11
Choose the best description for the real number 34 over 3 .
Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal
Answers
Answer:
C. Rational, because it is a fractionStep-by-step explanation:
34/3 is a fraction.
Any number that can be expressed as a fraction is a rational number.
Correct choice is C
Can you help me solve this??
Answers
Answer:
Here are the equational values
Step-by-step explanation:
g= t2+3/t
h= 4t−3 /t
A $2,000 investment was made 16 years ago into an account that earned quarterly
compounded interest. If the investment is currently worth $6,883.55, what is the
annual rate of interest?
Answers
Answer:
We can use the formula for compound interest to solve the problem:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, we know that P = $2,000, A = $6,883.55, n = 4 (quarterly compounding), and t = 16. We can solve for r by rearranging the formula as follows:
r = n[(A/P)^(1/nt) - 1]
Substituting the values, we get:
r = 4[(6,883.55/2,000)^(1/(4*16)) - 1] = 0.0522 or 5.22%
Therefore, the annual interest rate is approximately 5.22%
Jeremy is playing a game of roulette. Every round he plays $20 on black. If the ball lands on black he will double his money, but if it lands on green or red he will loose his entire bet. Jeremy has constructed the following probability distribution.Event Net Win Probability
Black $20 18/38
Red -$20 18/38
Green -$20 2/38
A. Calculate the expected value
B. Interpret the value you found in part A)
Jeremy Tries doubling his bet to $40 per round, which leads to the following probability distribution
Event Net Win Probability
Back $40 18/38
Red -$40 18/38
Green -$40 2/38
C. Calculate the expected value of this new distribution
D. Jeremy thinks that doubling his bet would increase his odds to win money, is he correct? Explain.
Answers
A. The expected value for Jeremy's initial distribution is:
E(X) = (18/38)$20 + (18/38)(-$20) + (2/38)(-$20) = -$0.53
B. This means that on average, Jeremy can expect to lose $0.53 per round played in the long run.
C. The expected value for Jeremy's new distribution, where he bets $40 per round, is:
E(X) = (18/38)$40 + (18/38)(-$40) + (2/38)(-$40) = -$1.05
D. Doubling his bet does not increase Jeremy's odds of winning money, as his expected value is still negative.
The expected value for Jeremy's initial distribution is calculated by multiplying the net win for each event by its probability of occurring and summing the results. The expected value for Jeremy's new distribution is calculated in the same way, but with a net win of $40 instead of $20.
The negative expected value in both cases means that, on average, Jeremy can expect to lose money over time. Doubling his bet does not increase his odds of winning money, as his expected value is still negative. In fact, increasing his bet actually increases his expected loss per round, as seen in the comparison of the expected values for the two distributions.
This is due to the fact that the increased bet size does not change the underlying probabilities of the game. Roulette is a game of pure chance, and the odds of winning or losing a given round are always the same, regardless of the size of the bet.
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juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. later, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?
Answers
Answer: 38 dollars
Step-by-step explanation:
work in reverse (include dollar sign in your answer, I can't get it on my keyboard)10 + 2 = 1212 x 2 = 2424 + 14= 38Find the largest area for a rectangle that is inscribed in a semicircle with radius 4 inches.
Answers
Answer:
16 square inches
Step-by-step explanation:
You want the largest rectangle that can be inscribed in a semicircle with radius 4 inches.
AreaThe equation of a circle centered at the origin with radius 4 is ...
x² +y² = 16
The height (y) of a rectangle whose corner is on the circle will be ...
y = √(16 -x²)
The width of such a rectangle is 2x, so the area of it is ...
A = WH = (2x)√(16 -x²)
MaximumThe maximum area will be had when the derivative of the area with respect to x is zero.
A' = 2√(16 -x²) - 2x²/√(16 -x²) = 0
Multiplying by √(16 -x²)/2 gives ...
16 -x² -x² = 0
16 = 2x²
x = √(16/2) = 2√2
The corresponding area of the rectangle is ...
A = 2(2√2)√(16 -(2√2)²) = 16
The largest rectangle has an area of 16 square inches.
__
Additional comment
As is often the case with rectangle optimization problems, the largest rectangle that can be inscribed in the quarter circle in each quadrant is a square. It has a diagonal of 4 inches, so an area of 4²/2 = 8 square inches.
The attachment shows the cubic curve representing the area of that square as a function of its width. As above, the rectangle area is double this value.
Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $10 plus a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $35.
Let y represent Anumeha's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and the number of hours.
Answers
Answer: y=7x+10
Step-by-step explanation: She charges an extra 10 dollars per job hence the +10. She also charged 35 dollars per 5 hours. So doing the math, she charged 7 dollars an hour.
Simplify this expression.
8.9 - 1.4x + (-6.5x) + 3.4
х
Answers
Answer:
8.9-1.4x + (-6.5x) + 3.4x
8.9-1.4x - 6.5x +3.4x
-1.4x - 6.5x = -7.9x
-7.9x+ 3.4x=-4.5x
Answer 8.9 -4.5x
Step-by-step explanation: Hope This Helps !!!
First you are going to remove the parentheses then COMBINE LIKE TERMS
Lastly you just put your equation together .
the mean number of calls received in a certain office per day is 10 . what is the probability that in any given day the office receives exactly 3 calls ?
Answers
The probability that on any given day the office receives exactly 3 calls is 0.0076.
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here, we let
Let X be the number of calls received in an office per day.
X≈Poison(λ=10)
P(X = x) = e^(-λ)λˣ/x!; x = 0, 1, 2.....
= 0, otherwise
The probability that on any given day the office receives exactly 3 calls: 0.0076
P(X = 3) = e^(-10)10³/3!
P(X=3) = 0.0076
Hence, the probability that on any given day the office receives exactly 3 calls is 0.0076.
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given y=xx−1 and x>1 , which of the following is a possible value of y ?
Answers
Possible values of y depend on the value of x. From the given options, we would need to know the specific values of x to determine the corresponding values of y. Without knowing the specific value of x, we cannot identify a specific value of y.
The given equation is y = x^(x-1).
To determine possible values of y, we need to evaluate the expression for different values of x, considering that x > 1.
Let's calculate some values of y for different values of x:
For x = 2:
y = 2^(2-1) = 2^1 = 2
For x = 3:
y = 3^(3-1) = 3^2 = 9
For x = 4:
y = 4^(4-1) = 4^3 = 64
For x = 5:
y = 5^(5-1) = 5^4 = 625
As we can see, possible values of y depend on the value of x. From the given options, we would need to know the specific values of x to determine the corresponding value of y. Without knowing the specific value of x, we cannot identify a specific value of y.
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If the terminal side of angle θ is in the first quadrant and cos(θ)=3√2, what is the exact measure of θ?
Answers
There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.
Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.
Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.
Let's calculate the length of the opposite side:
opposite^2 + adjacent^2 = hypotenuse^2
opposite^2 + (3√2)^2 = 1^2
opposite^2 + 18 = 1
opposite^2 = 1 - 18
opposite^2 = -17
Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.
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Of the marbles in a bag, 4 are yellow , 4 are white , and 5 are green . Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. The probability that Sandra will choose a marble from the bag is
Answers
Answer:
Probability[Random choose marble is green] = 5 / 13
Step-by-step explanation:
Given:
Number of yellow marble in bag = 4
Number of white marble in bag = 4
Number of green marble in bag = 5
Find:
Probability[Random choose marble is green]
Computation:
Probability of an event = Number of favourable outcome / Number of total outcome
Probability[Random choose marble is green] = 5 / [4 + 4 + 5]
Probability[Random choose marble is green] = 5 / 13