The percent gain in the number of wolves is 90%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
From the information, in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves.
The percent gain will be:
= Increase in wolves / Previous number × 100
= (38 - 20) / 20 × 100
= 18/20 × 100
= 90%
Therefore, it should be noted that based on the information illustrated above, the percentage gain will be 90%.
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Cuanto es 17 entre un medio
Answer: 8.5
Step-by-step explanation:
espanol- deberia ser 8.5
english- it should be 8.5 good luck!
On a basketball court there is a semicircle above the free throw line that has a radius of 7 find the area of semicircle
Answer: \(77\ \text{sq. units}\)
Step-by-step explanation:
Given
The radius of the semi-circle is \(r=7\)
We know, area of the circle is \(\pi r^2\)
So, the area of the semi-circle is half of it i.e. \(\frac{1}{2}\pi r^2\)
Put the value
\(\Rightarrow \dfrac{1}{2}\times\pi \times 7^2=76.97\\\Rightarrow \approx 77\ \text{sq. units}\)
The area of the semi-circle is \(77\ \text{sq. units}\)
helpppppppppppppp
Write the equation of a line that is parallel to the line y = - 4x + 1 and goes through the point (2,0)
y=______x +_______
In other words, -4 goes in the first blank and 8 goes in the second blank
========================================================
Explanation:
Parallel lines have equal slopes, but different y intercepts.
The slope of y = -4x+1 is m = -4. So our answer will have this slope as well.
Use (x,y) = (2,0) along with that mentioned slope to get...
y = mx+b
0 = -4*2+b
0 = -8+b
0+8 = b
8 = b
b = 8 which is the y intercept
So we have m = -4 and b = 8 take us from y = mx+b to y = -4x+8
-------------
As a check, plugging x = 2 should lead to y = 0
y = -4x+8
y = -4*2+8
y = -8+8
y = 0
The answer is confirmed.
An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 550 and a standard deviation of 125. The individuals who exceed 780 on this test are considered to be potential leaders. What proportion of the population are considered to be potential leaders? Round your answer to at least four decimal places.
Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 550, hence \(\mu = 550\).The standard deviation is of 125, hence \(\sigma = 125\).The proportion of the population considered to be potential leaders is 1 subtracted by the p-value of Z when X = 780, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{780 - 550}{125}\)
\(Z = 1.84\)
\(Z = 1.84\) has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
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solve for x pls help
Answer:
x = 8
Step-by-step explanation:
10/(3x+1) = 22/(7x-1) ---->set up proportion
10(7x-1) = 22(3x+1) ----> cross multiply
70x - 10 = 66x + 22 --------> distribute
4x = 32
x = 8
find the rate of change of a circle diameter with respect to radius.
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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not good with these someone should help me:( picture included
Answer:
Volume=2/6cu.ft
Step-by-step explanation:
.........................
option B
use long division to find the quotient.
(r^2+4r-6)÷(r+5)
Answer:
r - 1 + (-1) / (r+5)
Step-by-step explanation:
1) divide r² by r to get r. write this on top.
2) multiply this r by r + 5 to get r² + 5r
3) subtract ( r² + 5r) from r² + 4r. this gives answer of -r
4) bring down the -6 from dividend
5) divide -r by r to get -1
6) multiply -1 by r + 5. this gives answer -r - 5
7) subtract (-r - 5) from -r - 6. this gives answer of -1
8) now we cannot divide -1 by r. that means -1 is our remainder.
9) you can confirm this by multiplying out (r + 5) (r - 1) = r² + 4r - 5.
this is 1 more than our original divisor (that was -6)
At Davidson's bike rental. It cost $10 too rent a bike for 3 hours. How many dollars does it cost per hour of bike use.
Answer: 3.33
Step-by-step explanation: hope this helps
Answer:
3.33
Step-by-step explanation:
What is Joshua's speed if he won a 30 meter race in 40 seconds
Emery makes 8 necklaces and 3 bracelets, using a total of 172 beads. Then she makes 1 more necklace and 5 more bracelets, using 77 beads.
Calculate how many beads Emery uses to make 4 necklaces and 7 bracelets.
Answer:
1,000
Step-by-step explanation:
because Emery makes 8 necklaces and 3 bracelets, using a total of 172 beads. Then she makes 1 more necklace and 5 more bracelets, using 77 beads.
Solve the system of equations and choose the correct answer from the list of options. (4 points) x + y = −3 y = 2x + 2 a five over 3 comma 4 over 3 b negative 5 over 3 comma negative 4 over 3 c negative 3 over 5 comma negative 3 over 4 d 3 over 4 comma 3 over 5
The solution to the system of equations is (x, y) = (-5/3, -4/3).
What is system of linear equations?
A system of linear equations is a set of two or more equations with two or more variables that are to be solved simultaneously. Each equation in the system is linear, meaning it can be written in the form of ax + by + cz + ... = d, where a, b, c, and d are constants and x, y, z, and other variables are unknowns.
The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system. The solution of a system of linear equations is a set of values for the variables that make all of the equations true.
There are different methods to solve systems of linear equations, such as substitution method, elimination method, and matrix method. These methods involve manipulating the equations in the system to isolate one variable, substitute its value into another equation, and eventually find the values of all the variables.
Systems of linear equations are used in many areas of mathematics, science, engineering, and economics to model real-world situations and solve practical problems.
To solve the system of equations:
x + y = -3 (Equation 1)
y = 2x + 2 (Equation 2)
We can substitute Equation 2 into Equation 1 for y and solve for x:
x + (2x + 2) = -3
3x + 2 = -3
3x = -5
x = -5/3
Now that we know x, we can substitute it into either Equation 1 or Equation 2 to find y. Let's use Equation 2:
y = 2x + 2
y = 2(-5/3) + 2
y = -10/3 + 6/3
y = -4/3
Therefore, the solution to the system of equations is (x, y) = (-5/3, -4/3).
Comparing this solution to the answer choices, we see that option (b) is the correct answer:
(a) 5/3, 4/3
(b) -5/3, -4/3 <--- Correct answer
(c) -3/5, -3/4
(d) 3/4, 3/5
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Use the information to evaluate and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −2 Δx = dx = 0.01
Δy =?
dy =?
Δy=v-0.32 and dy = -0.32 .Δy and dy are both used to represent changes in the dependent variable y based on changes in the independent variable x.
Δy represents the change in y (the dependent variable) resulting from a specific change in x (the independent variable). In this case, y = x^4 + 7, x = -2, and Δx = dx = 0.01. Therefore, we need to calculate Δy and dy based on these values.
To calculate Δy, we substitute the given values into the derivative of the function and multiply it by Δx. The derivative of y = x^4 + 7 is dy/dx = 4x^3. Plugging in x = -2, we have dy/dx = 4(-2)^3 = -32. Now, we can calculate Δy by multiplying dy/dx with Δx: Δy = dy/dx * Δx = -32 * 0.01 = -0.32.
On the other hand, dy represents an infinitesimally small change in y due to an infinitesimally small change in x. It is calculated using the derivative of the function with respect to x. In this case, dy = dy/dx * dx = 4x^3 * dx = 4(-2)^3 * 0.01 = -0.32.
Therefore, both Δy and dy in this context have the same value of -0.32. They represent the change in y corresponding to the change in x, but Δy considers a specific change (Δx), while dy represents an infinitesimally small change (dx) based on the derivative of the function.
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_________ term is used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.
Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.
What is chance?Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.
Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.
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Select all of the true statements about the graph. a. It is not a function. b. It is a function. c. It does not represent a proportional relationship. d. It does represent a proportional relationship.
The true statements about the given graph are :
(b) It is a function.
(c) It does not represent a proportional relationship.
Given a graph.
A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Here take the set A has the x values and the set B has the y values.
By vertical line test, if we draw a vertical line through any point, the line only touches the graph at one point.
So this is a graph of a function.
Proportional relationships are relationships where the ratios of two y values will be equal.
And they will be linear.
Here the graph is not linear and thus not proportional.
Hence the true statements are b and c.
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23. Sara is making gift baskets to share with her co-workers. She has gathered 24 DVDs, 48 packages of popcom, and 18 boxes of candy. What is the greatest number of baskets that can be made if each basket has an equal number of each of these three items?: * OA) 48 OB) 18 OC) 24 OD) 6 24. A pool company will install a round swimming pool in the middle of a yard that measures 40 ft. by 20 ft. If the pool is 12 ft. in diameter, how much of the yard will still be available?: * OA) 466.86 ft2 OB) 762.32 ft2 OC) 686.96 ft2 OD) 347.84 ft2 25. At 8:15 AM, Jean found a parking meter that still had 20 minutes until it expired. She quickly put a nickel, a dime, and two quarters in the meter and went shopping. If every 5 cents buys 15 minutes of parking time, at what time will the meter expire?: * OA) 11:20 AM OB) 11:35 AM OC) 11:50 AM OD) 12:00 PM
23. Sara has gathered 24 DVDs, 48 packages of popcorn, and 18 boxes of candy. We are to find the greatest number of baskets that can be made if each basket has an equal number of each of these three items.Therefore, the greatest number of baskets that can be made is 6.24.
A pool company will install a round swimming pool in the middle of a yard that measures 40 ft. by 20 ft. If the pool is 12 ft. in diameter, we are to find out how much of the yard will still be available.
Here’s how we can solve this question:Area of the yard = 40 × 20 = 800 sq. Ft
Radius of the pool = Diameter ÷ 2 = 12 ÷ 2 = 6 ft
Area of the pool = πr²
= π(6)²
= 36π
≈ 113.1 sq. ft
Therefore, the area of the yard that will still be available = 800 – 113.1 = 686.9 sq. ft (rounded to the nearest tenth).
Hence, the correct option is (OC) 686.96 ft2.25. Jean found a parking meter that still had 20 minutes until it expired.
She put a nickel, a dime, and two quarters in the meter and went shopping. We are to find the time at which the meter will expire.
We are given that every 5 cents buys 15 minutes of parking time.
Therefore:Jean put a nickel, a dime, and two quarters in the meter, which totals to $0.05 + $0.10 + $0.50 + $0.25 = $0.90
We know that $0.05 buys 15 minutes of parking time.
Therefore, $0.90 will buy: (15 ÷ 0.05) × 0.90 minutes
= 270 minutes
= 4.5 hours
That means the meter will expire 4.5 hours after Jean put the coins in.
So, the time the meter will expire is: 8:15 AM + 4.5 hours = 11:45 AM
Therefore, the correct option is (OC) 11:50 AM.
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What is the value of k if one of the zeros of the quadratic polynomial K 2 x2 2x 5?
If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.
What is polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.
Here,
4 is a root/zero of polynomial
P(x) = (k-2) x² - 2 x - (k+5)
P(4) = 0
(k - 2) 4² - 2 * 4 - (k+5) = 0
15 k - 45 = 0
k = 3
The value of k if 4 is one of the zeros of the quadratic polynomial is 3.
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Complete question:
If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.
Find the value of x and y.
Graph f(x) = 6x and g(x) = -6x. Then describe the transformation from the graph of f(x) to the graph of g(x)
Answer:
See explanation below
Step-by-step explanation:
The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.
This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.
After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.
I WILL GIVE BRAINLEST
Match each expression on the left to its simplified version on the right.
Answer:
In the photo
Step-by-step explanation:
Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.
Answer:
the one above me is right expet for 2 of them purple and orange
Step-by-step explanation:
it was right on edge
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
Plzzzzz give me Brainliest!!!!!
A rectangle has a length of (10x-3) and a width of (2x+2). Find the perimeter
Answer:
24x-2
Step-by-step explanation:
Perimeter is 2(L+w)
(10x-3)+(2x+2)
Combine like terms
12x-1
2(12x-1)
24x-2
Answer:
The perimeter is 24x - 2.
Step-by-step explanation:
The perimeter of a rectangle is found using the following formula: \(2(l+w)\). The length and width added together are 10x - 3 + 2x + 2 or 12x - 1, multiply that by 2 and you'll get that the perimeter is equivalent to 24x - 2.
What is the equation of a line that contains the points (5, 0) and (5, −2)? (1 point)
Answer: \(x=5\)
Step-by-step explanation:
Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).
please help me witht this math problum.
Answer: 1/3
Step-by-step explanation:
if x equals 3 cubed what does this problem equal 2x= If x = 33:
2x = ?
Answer:
2x = 54
Step-by-step explanation:
The given information;
x = 3^3
solve
x = 27
(beacuse 3^3 = 3 * 3 * 3 = 27
find 2x:
2x = 2 * x
x= 27
2 * 27 = 54
2x = 54
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
The most appropriate measure of center to represent the data in the given line plot is the mode.
The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:
There is one dot above 2, 4, 8, and 9.
There are two dots above 6 and 7.
There are three dots above 3.
Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.
The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.
While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.
Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
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Find the domain and range of the following function: f:x
(3x-9)/(x²-x-2)
Answer:
Domain: (-∞,1)∪(-1,2)∪(2,∞)
Range: (-∞,1/3]∪[3,∞)
Step-by-step explanation:
Domain: (-∞,1)∪(-1,2)∪(2,∞)
Range: (-∞,1/3]∪[3,∞)
During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.