What is 19.2×10^8 minutes in hours?
1.152 x 10^11 h
3.200 x 10^7 h
1.152 x 10^7 h
3.200 x 10^9 h
Answer: 3.200 x 10^7h
Step-by-step explanation:
Correct answer on K12
A line contains the points (34, 12)(34, 12) and (32, 48)(32, 48) .
What is the slope of the line in simplified form?
"in how many ways can 6 people be lined up to get on a bus?"
Need help on an Algebra 2 question??!
Select the correct inequality for the graph below:
A. y > −2x + 2
B. y ≥ −2x + 2
C. y < −2x + 2
D. y ≤ −2x + 2
Two complementary angles have measures of 15° and (x+5)°. what is the value of x? *
The value of x is 70 degrees. This is obtained by solving the equation formed from the definition of complementary angles (the sum of the angles is 90 degrees).
Explanation:In mathematics, two angles are said to be complementary if the sum of their measures is 90 degrees. In this case, the two angles in question have measures of 15 degrees and (x+5) degrees. Therefore, we can create an equation by adding the two measures and setting the sum equal to 90.
So, 15 + (x+5) = 90.
Solving for x, we first combine like terms, yielding x + 20 = 90. Then we simply subtract 20 from both sides of the equation to obtain the value for x. So, x = 90 - 20 = 70 degrees.
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Nbc news reported on may 2, 2013, that 1 in 20 children in the united states have a food allergy of some sort. consider selecting a random sample of 25 children and let x be the number in the sample who have a food allergy. then x ~ bin(25, 0.05).
Trevor is swimming laps to raise money for the local food bank. He earns $1.85 per lap and has already swum 23 laps.
• Write an inequality to show how many more laps Trevor needs to swim in order to raise more than $100.
Answer: L greater than 31
Step-by-step explanation:
Trevor is swimming laps to raise at over 100 dollars for the local food bank. He earns $1.85 per lap and has already swum 23 laps.
This means that the total amount that he has raised is number of laps that he has swum × the amount he earns per lap. Therefore,
Amount that he has already raised
= 1.85 × 23 = $42.55
100 - 42.55 = 57.45
He still needs to raise an amount greater than $57.45
To raise this amount, he needs to swim more laps. Number of laps that he needs to swim will be
57.45/1.85 = 31.05
Approximately 31 laps
Let the number of laps that he needs to swim be L
The inequality to show how many more laps Trevor needs to swim in order to raise more than $100 will be
L greater than 31
Why did helga the witch sign up for anger management classes
Helga enrolled in anger management classes to control her temper, realizing it affected others and herself negatively, hoping to improve her witchcraft and life.
Helga the witch signed up for anger management classes because her temper was causing issues not just for others, but also for herself. Constantly flying off the handle and hexing everything in sight led to her feeling isolated and out of control. Plus, her cottage was starting to look like a scene from a horror movie, with all the shattered potion bottles and singed curtains. She realized that mastering her emotions would not only make her a better witch but also improve her quality of life. So, begrudgingly, she enrolled in the classes, hoping to learn some magical techniques for keeping her cool.
Find the altitude of an equilateral triangle if each side of the triangle has a length of 20 m.
Answer:
300 meters
Step-by-step explanation:
The altitude divides the equilateral triangle into two congruent 30-60-90 triangles. The altitude is the long leg whose length is
300
meters.
factor x^2 + 3x + 2
infinity/infinity
To factor the quadratic x^2 + 3x + 2, it can be written as (x + 1)(x + 2). The concept of infinity over infinity (∞/∞) is an indeterminate form in limits and usually requires further techniques to evaluate.
To factor x^2 + 3x + 2, you want to find two numbers that both add up to +3 (the coefficient of x) and multiply to +2 (the constant term). These numbers are +1 and +2. Thus, you can express the quadratic equation as a product of two binomials:
x^2 + 3x + 2 = (x + 1)(x + 2).
As for the concept of limits like ∞/∞, it commonly arises when evaluating the behavior of functions as the variable approaches infinity. It represents an indeterminate form which requires further algebraic manipulation or techniques such as L'Hôpital's rule to find a meaningful limit.
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day how long would it take to triple its weight if it gain 8 grams per day
5/8, 7/9, 3/4
Order these numbers from LEAST to GREATEST.
A) 3/4, 5/8, 7/9
B) 5/8, 3/4, 7/9
C) 5/8, 7/9, 3/4
D) 7/9, 3/4, 5/8
E) 7/9, 5/8, 3/4
The answer would be B, which, in other words, would also be 5/8, 3/4, 7/9.
a rectangle is three centimeters.longer than it is wide. if its length were to be decreased by two centimeters, its area would decrease by thirty square centimeters.
A) what are the dimensions?
B) what is it’s area?
Show your work using an equation
Sales fall from 300 per week to 270 per week what’s the percentage change
1.) How could you describe the pair of lines y = 2x – 5 and 4x – 2y = 9: parallel, perpendicular, or neither?
2.) Explain why you chose parallel, perpendicular, or neither in #1.
What is the difference between advanced calculus and real analysis?
Final answer:
Advanced calculus covers computational aspects and applications of calculus in multiple dimensions, while real analysis focuses on the theoretical fundamentals, such as rigorous development of the real number system and proof-based examination of limits and continuity.
Explanation:
The difference between advanced calculus and real analysis lies in the focus and depth of the subjects. Advanced calculus, also known as calculus III in some curricula, typically extends the study of calculus to multiple dimensions, covering topics such as partial derivatives, multiple integrals, and vector calculus. It focuses more on the computational aspects and applications of calculus.
Real analysis, on the other hand, delves deeper into the theoretical underpinnings of calculus and analysis. It deals with the rigorous development of the real number system, sequences and series, continuity, differentiation, integration, and convergence. Real analysis puts a strong emphasis on proof and logical reasoning, providing a foundation for the truth and logic behind the mathematics used in calculus.
While both subjects are mathematically advanced, real analysis is considered to be more abstract and is often a stepping stone for further study in pure mathematics. Familiarity with calculus is often a prerequisite before studying real analysis as it lays the groundwork for the more complex theoretical concepts.
Unit rate of 14.25 for 3 pounds of deli meat
Basketball game Trina scored 6 points less than twice the number of points Rachel scored Trina scored 12 points how many points did Rachel score
Please help!!
A ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s. Its height above the ground after x seconds is given by the quadratic function y = -16x^2 + 32x + 3. Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x^2.
Answer:
-4
16
2
16
Step-by-step explanation:
got it right.
the probability that it will rain today is 0.3 what is the probability that it will not rain?
Answer: 0.7
Step-by-step explanation: 1-0.3 = 0.7
how do i solve this.?
To solve a physics problem, make a list of known variables, solve the equation for the unknown, substitute known values with correct units into the equation, and check if the solution is reasonable.
Explanation:Steps to Solve a Physics Problem
When attempting to solve a physics problem, it is essential to follow a structured approach to reach a solution successfully. Here is a step-by-step method to guide you:
Identify the knowns: List all the given variables, or information that can be inferred, from the question.Solve for the unknown: Determine what you need to find out and use the relevant equations that include this unknown variable. If the equation involves more than one unknown, additional equations are needed.Substitute known values into the equation: Insert the known variables along with their appropriate units into the equation to solve for the unknown. Confirm that you're using the correct units, such as radians for angles.Check your answer: Once you have a numerical solution, verify if it makes sense contextually and if the units are consistent.Some problems may require several steps or the use of multiple equations to find the solution. Always keep in mind the physical principles to guide your problem-solving process.
which equation represents a line that passes trough (-9,-3) abd has a slope of -6?
A polynomial function P(x) has a degree n. If n is even is the number of turning points of the graph of p(x) even or odd? What can you say about the number of turning points if n is odd?
The number of turning points if n is odd if A polynomial function P(x) has a degree n, is even.
What is polynomial?A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.
Given:
A polynomial function P(x) has a degree n,
A turning point is when the derivative's sign changes. A relative maximum or relative minimum might mark a turning point (also known as local minimum and maximum). A turning point is a stationary point if the function is differentiable, however not all stationary points are turning points.
For example, if the degree is 2 then the number of turning points will be 1
The general formula is, the number of turning points = n - 1
Thus, for odd n, the turning point will be even.
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What is the value of the function at x=−3?
y = 4
y = 3
y = 0
y=−3
Answer:
y=4
Step-by-step explanation:
what is your heart rate supposed to be per minute
Please HELP FAST
Which system of inequalities is represented by the graph?
A. y ≤ –1/2x
y > –1
B. y ≥ –1/2x
y < –1
C. y < –1/2x
y ≥ –1
D. y > –1/2x
y ≤ –1
A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam?
Answer:
80%
Step-by-step explanation:
If 60% of the class passed the second exam and only 48% passed the first your solution would have to be of the 48%. Therefore 0.48/0.60=0.8/1.0=80%
What values of c and d make the equation true?
c = 2, d = 2
c = 2, d = 4
c = 6, d = 2
c = 6, d = 4
Answer:
c=6 and d=2 makes the equation true
Step-by-step explanation:
[tex]\sqrt[3]{162x^cy^5} = 3x^2y(\sqrt[3]{6y^d})[/tex]
plug in c=2 and check
[tex]\sqrt[3]{162x^2y^5}[/tex]
We cannot simplify cuberoot (x^2)
So c=2 does not works
Lets try with c=6 and d=2
[tex]\sqrt[3]{162x^6y^5}[/tex]
Cuberoot(x^6) = x^2
cuberoot (y^5)= ycuberoot (y^2)
[tex]\sqrt[3]{162x^6y^5} = 3x^2y(\sqrt[3]{6y^2})[/tex]
So c=6 and d=2 makes the equation true
The product of two even numbers is always divisible by 4
Find two numbers whose sum is 49 and whose product is 544
The two numbers are 16 and 33. They satisfy the conditions that their sum is 49 and their product is 544, as verified by setting up and solving a system of equations.
To find two numbers whose sum is 49 and whose product is 544, we can set up a system of equations based on the information given. Let's call the two numbers x and y. So, we have two equations:
x + y = 49xy = 544By solving these equations simultaneously, we can find the values of x and y.
The easiest way to solve this might be to express y in terms of x from the first equation: y = 49 - x. Then, substitute this into the second equation:
x(49 - x) = 544
This simplifies to a quadratic equation:
x^2 - 49x + 544 = 0
Factoring this quadratic equation, we get:
(x - 16)(x - 33) = 0
Which gives us two possible values for x:
x = 16x = 33Plugging these back into the equation for y, we get:
y = 49 - 16 = 33y = 49 - 33 = 16So the two numbers are 16 and 33.