Answer:
60
Step-by-step explanation:
The sum of interior angles in a triangle is 180
180-90-30=60
Consider fuzzy sets A and B such that core(A)∩core(B) = ∅. Is fuzzy set C = A∩B
normal? What condition must hold for the supports of A and B such that card(C) > 0
always holds?
The fuzzy set C = A∩B may or may not be normal depending on the degree of overlap between A and B.
If A and B have a small overlap or do not overlap at all, then C will be normal. However, if A and B have a significant overlap, then C may not be normal.
For card(C) to be greater than zero, the supports of A and B must overlap at least partially. Specifically, there must be at least one element in the intersection of the supports of A and B.
This is because the support of a fuzzy set determines the range over which the set is defined, and if the supports of A and B do not overlap, then there is no range over which C can be defined.
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Two points are _______________________ collinear
a
Always
b
Sometimes
c
Never
Answer:
a
Step-by-step explanation:
Two points are always collinear since we can draw a distinct (one) line through them.
Answer:
always
Step-by-step explanation:
How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a
Answer:
In order of the questions asked, the answers are, C, D, A, C
Step-by-step explanation:
After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.
if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D
the isotope for dating organic remains is A. carbon-14
for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460
so the answer is C
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at
a constant speed.
In kilometers, how far did Jada run in 60 minutes?
Answer
9 Kilometers
Step-by-step explanation:
Jada ran 3 kilometers in 20 minutes
3 in 20 converting that to 60 for the question you would need to triple that
Giving you 9 in 60 minutes
3.2. A sporting goods store sells soccer balls for a regular price of $40 each. If a team buys 20 or more
soccer balls, the store offers a discount of 15% off the price of each soccer ball.
How much more will it cost a team to buy 20 soccer balls than to buy 15 soccer balls?
A. $80
B. $100
C. $170
D. $200
Answer:
A. $80
Step-by-step explanation:
First, let's find the cost of 15 soccer balls.
\(15*40\) $600Next, cost of 20 soccer balls.
20 x 40 = 80015 x 800 = 1200012000/100 = 120800 - 120 = 680Lastly, the difference between 20 and 15 soccer balls:
680 - 600 = $80How do I Evaluate 16 2/3?
Answer:
6.34960 correct to 5 decimal places.
Step-by-step explanation
16 ^ 2/3
= cube root of 16^2
∛(16^2)
= ∛(256)
= 6.349604208.
The 2 in the 2/3 means the square of 16, and the 3 in 2/3 mean 16^1/3
which is the same as the cube root.
The evaluation of mixed fractions \(16\dfrac{2}{3}\) in improper fractions using the simplification rule is \(\dfrac{50}{3}\).
The combination of a proper fraction and a whole number is called a mixed fraction.
When the numerator is greater than the denominator, such type of fraction is called an improper fraction.
To evaluate \(16 \dfrac{2}{3}\) , convert the mixed number to an improper fraction and then simplify it.
Multiply the whole number \((16)\) by the denominator \((3)\) and add the numerator \((2)\).
\((16 \times 3 )+ 2 \\= 48 + 2\\ = 50\)
The sum is written with the denominator \(3\) as \(\dfrac{50}{3}\) .
The evaluation of mixed fractions \(16\dfrac{2}{3}\) in improper fractions is \(\dfrac{50}{3}\).
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describe one situation where parametric equations can describe a physical situation where a standard relationship between two variables will not suffice
Consider presenting a particle moving through three dimensions as an illustration. Several x, y, and z-based equations could be used to describe its path.
Explain the term parametric equations?There are two kinds of parametric equations which are frequently encountered in practical applications.
The concept problem described the first as circular motion.Projectile motion is the second type.Circular Motion:
In parametric equations that model circular motion, sine and cosine have periodic functions for x and y.
Either x is a sine function and y is a cosine function, or vice versa.Thus, Consider presenting a particle moving through three dimensions as an illustration. Several x, y, and z-based equations could be used to describe its path.Projectile Motion:
The vertical component of projectile motion is quadratic, and the horizontal component is linear.
This is due to the fact that starting height, starting velocity, and gravitational force are the three variables that have the most impact on an object's location throughout flight. The vertical component has no bearing on the horizontal component.To know more about the parametric equations, here
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Only the answer no explanation
Answer:
The slope for these to points would be -9/7 (rise/run)
State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.
Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Transformation of functionTransformation technique is a way of changing the position of an object on an xy-plane.
Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.
The resulting graph of the translated function is as shown below
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Parallel lines, transversal, and algebra really need help
Parallel lines are two or more lines in a plane that never intersect.
A transversal is a line that intersects two or more lines.
Algebra is the branch of mathematics that studies the rules of operations and relations and the constructions and concepts arising from them.
Relationships between Parallel Lines, Transversal and AlgebraWhen two parallel lines are intersected by a transversal, various geometric relationships between the angles of the transversal and the lines can be observed. This leads to algebraic equations that can be used to describe and solve problems related to these relationships. For example, the angles of the transversal that form opposite angles with the parallel lines can be used to calculate the measure of the angles formed by the parallel lines themselves.
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a local politician is concerned that a program for the homeless in the city is discriminating against blacks and other minorities. the following data were taken from a random sample of black and white homeless people. race black white received services yes 6 7 13 no 4 9 13 10 16 26 a. is there a statistically significant relationship between race and whether the person received services from the program? b. compute column and row percentages for the table to determine the pattern of the relationship. which group was more likely to receive services in the sample? interpret both the column and row percentages that you have obtained.
(a) There is no statistically significant relationship between race and receiving services from the program.
(b) Black homeless people were more likely to receive services (60%) than white homeless people (43.75%).
How to find the relationship between race and receiving services?a. To test whether there is a statistically significant relationship between race and whether the person received services from the program, we can use a chi-squared test of independence.
The null hypothesis is that there is no relationship between race and receiving services, and the alternative hypothesis is that there is a relationship.
Using a chi-squared calculator, we obtain a chi-squared statistic of 0.267 and a p-value of 0.605. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that there is no statistically significant relationship between race and receiving services from the program.
How to find more likely to receive services?b. To compute column and row percentages, we can first calculate the total number of black and white homeless people who received services and who did not receive services:
Black homeless people who received services: 6/10 = 60%Black homeless people who did not receive services: 4/10 = 40%White homeless people who received services: 7/16 = 43.75%White homeless people who did not receive services: 9/16 = 56.25%We can also calculate the percentage of all homeless people who received services or did not receive services, by adding up the numbers in each column:
Percentage of homeless people who received services: 13/26 = 50%Percentage of homeless people who did not receive services: 13/26 = 50%In the sample, black homeless people were more likely to receive services (60%) than white homeless people (43.75%).
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(a) cone, (b) sphere, (c) cylinder, (d) prism.
A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
What is a Sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.
In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.
The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface.
The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.
A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangle are not rectangular, the prism is oblique.
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Define the following solids:
(a) cone, (b) sphere, (c) cylinder, (d) prism.
I need some help please
Answer:
Step-by-step explanation:
I think is x-1
It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.
Find the sum of the following series. Round to the nearest hundredth if necessary.
10 + 40 + 160 + ... + 2621440
Answer:
Sn=3495250
Step-by-step explanation:
PLEASE HELP!
WILL MARK AS BRAINLIST!! IF CORRECT!
During a lab experiment, the temperature of a liquid changes from 6 2/5°F to 10 3/4°F.
What is the percent of increase in the temperature of the liquid?
Enter your answer in the box as a percent rounded to the nearest hundredth.
Answer:
Answer: 67.97%
Step-by-step explanation: BEWARE: THE ANSWER IS NOT 39.56%.
how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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what is the probability that a randomly selected day from 2013 will have a group trades total within 78,000 of the mean?
The probability that a randomly selected day from 2013 will have a group trades total within 78,000 of the mean is approximately 0.5.
To calculate this probability, we need to first calculate the mean of the group trades total for 2013. We can do this by adding together the group trades total for all the days in 2013, and then dividing by the total number of days in 2013. Let's call this number M.
Next, we need to calculate the difference between the group trades total of a randomly selected day in 2013 and the mean M. Let's call this number D.
Finally, we can calculate the probability that D is less than or equal to 78,000 by dividing 78,000 by the absolute value of D. This will give us the probability that a randomly selected day from 2013 will have a group trades total within 78,000 of the mean.
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A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? *
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
the distance from city a to city b is 256.8 miles. the distance from city a to city c is 739.4 miles how much farther is the trip to city c than the trip to city b
Taking a difference, we can see that the trip to city C is 482.6 mi longer.
How much farther is the trip to city c than the trip to city b?
Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles
To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.
That means that we need to take the distance to city c and subtract the distance to city b.
We will get:
739.4 mi - 256.8 mi = 482.6 mi
The trip to city C is 482.6 mi more than the trip to city B.
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
\(y=3x^2+2x-8\)
Answer:
give other guy brainliest he is correct
Step-by-step explanation:
Write a program that reads an integer and displays, using asterisks, a filled diamond of the given side length. For example, if the side length is 4, the program should display.
Answer:
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
int n = input.nextInt();
int l = 1;
for(int i=1; i <= n; i++){
for(int j=1; j<= l; j++){
System.out.print("*");
}
System.out.println();
l = l + 2;
}
l = l - 4;
for(int i=1; i < n; i++){
for(int j=1; j <= l; j++){
System.out.print("*");
}
System.out.println();
l = l-2;
Step-by-step explanation:
To begin, utilize a Scanner object to receive an integer as input (Line 5-6).
To print the upper section of the diamond form, make the first set of inner loops (Line 8-14). The variable l specifies the maximum number of asterisks that can be written in each row.
Create another inner loop to print the diamond shape's lower half (Line 17-23). The same variable l is used to specify the maximum number of asterisks to appear in each row.
FOR 10 POINTS
Find the distance between A and B
Answer:
3cm i think
Step-by-step explanation:
The radius of a dartboard is 9 inches What is the area of the dartboard in square inches?
the area of the dartboard is approximately 254.34 square inches.
The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:
Area = π * \(radius^2\)
Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:
Area = π * \(9^2\)
Area = π * 81
To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:
Area ≈ 3.14 * 81
Area ≈ 254.34 square inches
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when the increase in demand is greater than the decrease in supply, the equilibrium price _____ and the equilibrium quantity _____.
Answer:
increasedeacreasesWhen the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.
What is economic equilibrium?
Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.
The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.
The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).
In the case increase in demand > decrease in supply
In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.
Therefore, the equilibrium price and quantity increases.
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value of x pls help i cant understand this at all
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Answer:
x = 17
Step-by-step explanation:
Since the triangle has 2 congruent legs then it is isosceles and the 2 base angles are congruent , that is
4x - 34 = x + 17 ( subtract x from both sides )
3x - 34 = 17 ( add 34 to both sides )
3x = 51 ( divide both sides by 3 )
x = 17
there are 60 people 15 of the like grape juice, what is the percent
a particle's position is given by = − 5 meters. at what time is its velocity zero? give your answer to the nearest unit.
At t = ±0.6 seconds its velocity will be zero.
When an object is moving, its velocity serves as a measure of how quickly its location is changing as it is seen from a given point of view and as time is measured using a specific unit of measurement.
The velocity of a particle is the derivative of its position with respect to time, so to find the velocity we need to take the derivative of x with respect to t.
dx/dt = 20 - 15t^2
To find when the velocity is zero, we set dx/dt = 0 and solve for t:
0 = 20 - 15t^2
15t^2 = 20
t^2 = 20/15
t = ±√(20/15)
So, the velocity is zero at approximately t = ±0.6 seconds.
Correct Question :
a particle's position is given by = 20t − 5t^3 meters. at what time is its velocity zero? give your answer to the nearest unit.
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A tank of water is in the shape of a right circular cone with height 8 meters and base radius 26 meters. The tank is being filled with water at a rate of 12m3/s. When the radius of the top of the water is 10 meters, how fast is the depth of the water changing
The depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
To find the rate at which the depth of the water is changing, we can use related rates.
Given:
Height of the cone (h) = 8 meters
Base radius (r) = 26 meters
Rate of filling (dV/dt) = 12 m³/s
Radius of the top of the water (x) = 10 meters
First, we establish the relationship between the height and radius of the cone using similar triangles. The ratio of the height to the radius is constant, so we have h/r = 8/26.
Next, we differentiate both sides of the equation with respect to time (t) to find dh/dt in terms of dx/dt. This gives us (dh/dt)/(dr/dt) = 0.3077.
We can then substitute the given values into the equation: (dh/dt)/(dx/dt) = 0.3077. Rearranging the equation, we find that dx/dt = (dh/dt) / 0.3077.
To find the value of dh/dt, we can substitute the given rate of filling, dV/dt = 12 m³/s, into the equation. Solving for dh/dt, we get dh/dt = 3.693 m/s.
Finally, we substitute the values of dh/dt and 0.3077 into the equation to find dx/dt. This gives us dx/dt ≈ 0.39 m/s.
Therefore, the depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
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John sells t-shirts. Plain shirts cost $5 and graphic shirts cost $7. In order to match his product costs, he must make at least $1,200.
a) Write an inequality to represent this situation.
b) If he sells 150 plain shirts and 60 graphic shirts, will he be able to cover
the product costs?
c)If he sells 90 graphic shirts, what’s the minimum number of plain shirts he must sell to break even?
Answer:
a) 5x + 7y ≥ 1200
b) No.
c) A minimum of 114 plain t-shirts.
Step-by-step explanation:
Given information:
$5 = cost of one plain t-shirt.$7 = cost of one graphic t-shirt.$1200 = minimum revenue needed.Define the variables:
Let x = number of plain t-shirts.Let y = number of graphic t-shirts.Part aThe inequality to represent the given information using the defined variables is:
5x + 7y ≥ 1200Part bSubstitute x = 150 and y = 60 into the inequality:
⇒ 5(150) + 7(60) ≥ 1200
⇒ 750 + 420 ≥ 1200
⇒ 1170 ≥ 1200
As 1170 is not greater than or equal to 1200, John will not be able to cover the product costs if he sells 150 plain shirts and 60 graphic shirts.
Part cSubstitute y = 90 into the inequality and solve for x:
⇒ 5x + 7(90) ≥ 1200
⇒ 5x + 630 ≥ 1200
⇒ 5x + 630 - 630 ≥ 1200 - 630
⇒ 5x ≥ 570
⇒ 5x ÷ 5 ≥ 570 ÷ 5
⇒ x ≥ 114
Therefore, if John sells 90 graphic t-shirts, he must sell a minimum of 114 plain t-shirts to break even.