You save three-fifths of your paycheck. Which decimal is equivalent to that fraction?
Answer: 0.6
Step-by-step explanation:
The fractions have the form shown below:
[tex]\frac{a}{b}[/tex]
Where: a is the numerator and b is the denominator.
To convert a fraction to a decimal number, you must divide the numerator by the denominator.
You know that the fraction is three-fifths, which is written as following:
[tex]\frac{3}{5}[/tex]
Therefore, when you divide the numerator 3 by the denominator 5, you obtain the following decimal number which is equivalent to that fraction:
[tex]\frac{3}{5}=0.6[/tex]
Answer:
0.6
Step-by-step explanation:
What shape is the graph of the equation below? (x-5)^2/4^2 + y^2/7^2=1 A. A line B. A circle C. A parabola opening to the right D. A hyperbola opening to the right and left E. A hyperbola opening up and down F. An ellipse
the answer to your question
is the letter C
Let's explore the equation to see why the graph of the formula that is given sounds like:
((x−5)²/(4)²) + (y²/(7)²) = 1
This equation represents the standard form of an ellipse:
((x−h)²/a²) + ((y-k)²/(b)²) = 1
Where:
*The ellipse's center is (h,k).
*The semi-major axis's length, or horizontal radius, is denoted by a.
*The semi-minor axis's length, or vertical radius, is b.
Comparing the given equation to the standard form, we see that:
*h=5 (center is at x=5)
*a=4 (semi-major axis length)
*b=7 (semi-minor axis length)
Since both a and b are positive and the denominators of both terms are squared, the graph represents an ellipse. Therefore, the correct answer is F. An ellipse.
The given equation is in the form of an ellipse:
((x−5)²/(4)²) + (y²/(7)²) = 1
It matches the standard form of an ellipse equation:
((x−h)²/a²) + ((y-k)²/(b)²) = 1
where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.
In this equation, h=5, a=4, and b=7, indicating the ellipse is centered at (5,0) with a horizontal radius of 4 and a vertical radius of 7.
Therefore, the correct answer is F. An ellipse.
Complete Question:
What shape is the graph of the equation below?
A. A line
B. A circle
C. A parabola opening to the right
D. A hyperbola opening to the right and left
E. A hyperbola opening up and down
F. An ellipse
A mathematical expression that compares one number to another is called a ____.
A mathematical expression that compares one number to another is called a ratio or proportion, which includes concepts such as inequalities and proportional relationships.
A mathematical expression that compares one number to another is called a ratio or proportion. Ratios express the relationship between two quantities, while a proportion indicates that two ratios are equivalent. For example, the expression 1/2 = 3/6 signifies a proportion because the two ratios 1/2 and 3/6 are equivalent. A unit rate is a specific kind of ratio where one of the measurements is 1, such as 55 miles per hour (55/1 miles/hour). Additionally, there are other mathematical expressions used for comparison, such as inequalities, which show how two values differ, or the concept that one value 'x' is proportional to another, often used in scientific and engineering contexts.
hey can you please help me posted picture of question
The correct answer for this completion exercise shown above is the second option (Option B), which is: B. Parent
Therefore, you have:"In each family of function, the parent function is the most basic function in the family"
By definition, the most basic fucntion in each family of functions is called “parent fucntion”. A family of function is a set of function that when you graph them, you can notice that they have common charateristics.
QF Q3c.) Find the following function
A sample of 4 different calculators is randomly selected from a group containing 13 that are defective and 26 that have no defects. what is the probability that at least one of the calculators is defective? (hint: think complement)
If i = −1 and a and b are non-zero real numbers, what is 1a+bi ?
what is the maximum for
f(x)= 625-16x^2
Lesson 6.04 in this lesson you will: 1. write the introdcution paragraph for your argument using the same topic you chose and researched in lesson 6.02.
The introduction paragraph should start with an opening statement introducing your chosen topic and providing some context, followed by your thesis statement that clearly states your argument. The given example shows how to create an introduction paragraph for an argument on 'Climate Change'.
Explanation:In order to write the introduction paragraph for your argument, first remember your chosen topic from lesson 6.02. Your opening statement must introduce the topic and provide some general context about it. For instance, if your topic is 'Climate Change', then your introductory paragraph might start like this:
'In today's rapidly changing world, one issue that stands in prominence is climate change. During the last century, human activities have accelerated this process unnaturally, leading to unpredictable weather and extreme disasters.'
Then present your thesis statement that clearly expresses your stance on the issue. It could be something like:
'This essay aims to argue that proactive international cooperation is crucial in mitigating the detrimental effects of climate change.'
Make sure this paragraph is captivating and clear as it sets the tone for the rest of your essay.
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Use the quadratic function to predict y if x equals 7. Y=2x^2 -3x +3
A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.
a. How many different outcomes are there?
b. What is the probability that James wins?
c. What is the probability that Peter wins?
d. Is the game fair?
e. Are there any outcomes where the game would be tied?
f. Are there any outcomes where no one would win?
Kris wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 6 4 8 Grade 10 10 11 9 Grade 11 12 15 11 Grade 12 15 6 14 If the principal randomly selects a student in grade 10 from this survey, what is the probability that the student is opposed to extending the school day? (1 point) Question 9 options: 1) 0.09 2) 0.29 3) 0.30 4) 0.37
Answer:
4) 0.37
Step-by-step explanation:
If the principal randomly selects a student in grade 10 from this survey, the probability that the student is opposed to extending the school day is a division of the number of students that opposed from 10 Grade by the total number of students of the 10 Grade.
The table of the question is as:
Grade In favor Opposed Undecided
9 6 4 8
10 10 11 9
11 12 15 11
12 15 6 14
So, there are 10 students in 10 grade that are in favor of the extended school day, 11 students that are Opposed and 9 students that are undecided about the extended school day. then, there are 30 student in 10 Grade
Then, the probability is:
[tex]\frac{11}{10+11+9} =\frac{11}{30}=0.37[/tex]
Enter a recursive rule for the geometric sequence. 4, −16, 64, −256, ...
Answer:
The recursive rule is an = (-4) · an-1
Step-by-step explanation:
* Lets explain recursive formula for a geometric sequence:
1. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
2. Find the common ratio. (The number you multiply or divide.)
3. Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.
# a1 = first term;
# an= r • an-1
- Where:
a1 = the first term in the sequence
an = the nth term in the sequence
an-1 = the term before the nth term
n = the term number
r = the common ratio
Ex: {3, 6, 12, 24, 48, 96, ...}
first term = 3, common ratio = 2
The recursive formula an = 2 · an-1
* In our problem:
- a1 = 4
- r = -16/4 = -4
- The recursive rule is
# an = (-4) · an-1
Answer:
here is the correct answer.
Step-by-step explanation:
If a household has at least one cat, there is a 30% probability that the household has at least one dog. thirty percent of households have at least one cat and 33% of households have at least one dog. given that a household does not have at least one dog, the probability that the same household does not have at least one cat is
The probability that a household does not have a cat, given that it doesn't have a dog is 70%. This is a question about conditional probability, and can be solved by applying Bayes theorem and the concept of complements in probability.
Explanation:Given the question, we need to calculate the probability that a household does not have a cat if it is known that the same household does not have a dog. This question applies to the concept of conditional probability in mathematics.
Let's consider the event of a household having at least one cat as C and the event of a household having at least one dog as D. The question tells us that the probability of a household having a dog given it has a cat P(D|C) = 0.30 and the probability of a household having a cat P(C) = 0.30, and the probability of having a dog P(D) = 0.33. We are asked to find the probability of a house not having a cat given it does not have a dog, P(C'|D').
Using Bayes theorem, the conditional probability P(C'|D') can be calculated using the formula: P(C' | D') = P(D' | C') * P(C') / P(D'), where P(C') is the probability of not having a cat and P(D'| C') is the probability of not having a dog given that there is no cat.
First, find the complement percentages. P(C') = 1 - P(C) = 0.70 and P(D') = 1 - P(D) = 0.67. Then, because P(D'| C') = P(D') (as having a dog does not depend on whether or not you have a cat), the formula simplifies to: P(C' | D') = P(C'). So the probability that a household does not have a cat, given that it doesn't have a dog is 0.70 or 70%.
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On the trip you and your friends stop for gas and decide to drinks 1.05, and snacks, which are 2.20, if they spend a maximum of 25$ and wish to buy at least 12 items , write a system of inequalities that show the range of drinks and snacks you can buy with 25.00, 2 inequalities are needed, and a data table for each
round 0.246 to the nearest tenth
How can we check the binomial factors to verify that they are truly factors? Are the factors (x + 5)(x – 8) truly factors of x2 – 2x – 30. Show your work.
If the racetrack publishes that the odds in favor of a horse winning a race are 5 to 9, what is probability that the horse will not win the race?
Find the value of x for which m//n
A.
31
B.
33
C.
39
D.
41
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minimize the objective function P=20x+16y
$1,000 is invested at a rate of 3.25%, compounded annually. Identify the compound interest function that models the situation. Then find the balance after 8 years.
what is the limit of f (×) as x approaches - infinty
Final answer:
The limit of a function as x approaches negative infinity is the value that the function f(x) approaches as x becomes very large in the negative direction. For example, the limit of 1/x is 0 as x approaches negative infinity, while the limit of 1/x² approaches positive infinity. Functions that oscillate, like sin(\u03C0/x), do not have a limit at infinity.
Explanation:
When discussing the limit of a function f(x) as x approaches negative infinity, we are essentially asking what value f(x) gets closer to as x becomes very large and negative. For instance, consider the function 1/x. As x approaches negative infinity, 1/x gets closer to 0, and we say that the limit of 1/x as x approaches negative infinity is 0. Similarly, for a function like 1/x² which "blows up" or increases rapidly as x approaches 0 from either side, we notice that as x approaches negative infinity, the function approaches positive infinity since the squared term always results in a positive number.
However, not all functions have limits at infinity. For functions that oscillate, such as sin(\u03C0/x), as x approaches 0, it oscillates indefinitely between -1 and +1 and does not approach a specific value.
The formal definition of a limit at infinity states: If there is a number L such that f(x) gets arbitrarily close to L when x is sufficiently large (positively or negatively), we write lim f(x) = L as x → -∞.
A combination lock requires three numbers from 1 to 25. how many combinations are possible? did you use the sum rule or the product rule? (note that although we use the term combination with locks, order matters.)
I saved $100 to spend over the summer. I decide to budget $20.00 to spend each week, how can I write an equation that represents this situation
find the are of each circle round nearest tenth use 3.14 11ft
Which of the following is another way to express the equation 16 = -9 + z?
A.16 = z - 9
B.16 = z + 9
C.16 = -z + 9
D.16 = -z - 9
Answer:
16 = z - 9
Step-by-step explanation:
I did the same problem and answered this, 16 = z - 9. It was correct.
If, in 7 years, Susan will be 2 times as old as she was 3 years ago, what is Susan’s present age? PLEAZE EXPLAIN HOW AND DO IT WITH USING X
Answer:
Susan is 13 years old.
Step-by-step explanation:
Susan=x
After 7 years she will be 7+x then she will be 2x as old as she was 3 year ago.
age 3 yrs ago=x-3
2x-6=7+x
if you simplify....
now she is 13
hope it helps!!!!
The number n of aluminum cans used each year is directly proportional to the number of people using the cans. if 250 people use 60,000 cans in one year, how many cans are used each year in dallas, which has a population of 1,008,000.
the price of a video game was reduced from $60 to $45.by what percentage was the price of video Gamers reduced