Answer:
To prepare for the unexpected, it is important to have a reserve fund set aside. Having a reserve fund is important, but it should not always be your first priority. If you have credit card or other debt, pay that off before you start to put your money in a reserve. Credit card debt has a high interest rate, while the money that you will save in your reserve probably won’t gain a lot of interest. Why not? When you choose a place to save your financial reserve, low risk is key. Remember that your financial reserve fund is for emergencies only. If you have an emergency and need to use it, do. Once you are back on your feet, replenish it. Also, once you have saved the amount you need, stop. Your extra savings will serve you better in an investment that yields higher interest.
Step-by-step explanation:
Words taken from the online site 1 on edge for "Why might a person need an emergency fund?"
The term “emergency fund” refers to helping those times when a person is in need of money. An emergency fund allows you to save on rarer credit interest.
What is emergency fund?
The term “emergency fund” refers to the person's use of money at the time of need. Emergency money is saving money. They improve our financial security and safety. The emergency money is a small amount of money. For example, home repairs, paying medical bills, trip planning.
An emergency fund is money kept in a bank account to cover unexpected expenses like medical bills or car or home repairs. An emergency fund can also assist you in the event of a lack of income due to a job loss or prolonged illness.
Hence, the significance of the emergency fund is aforementioned.
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The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle
The two angles are 18 degrees and 72 degrees. The smaller angle is one-fourth of the larger, and they add up to 90 degrees because they are complementary.
Explanation:In mathematics, complementary angles are two angles whose measures add up to 90 degrees. Based on the question, let's denote the smaller angle as x and the larger angle (its complement) as y.
Given that x is 1/4 of y, we can write the equation x = y/4.
Also, since they're complementary, their measures add to 90 degrees, giving the equation x + y = 90.
From x = y/4, it can be inferred that y = 4x. Substituting y in the second equation we get x + 4x = 90, which simplifies to 5x = 90. Dividing both sides by 5, we have x = 18.
To find y, substitute x = 18 into the equation y = 4x, giving y = 4*18 = 72. Therefore, the measures of the two angles are 18 and 72 respectively.
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A group of friends share slices of pizza.If each person gets 5 slices there will be 4 slices short.How many slices of pizza are there to share?
karen has 12 apples. she gives 3 to john, 4 to lennard, and 2 to tracy. she then takes away 2 from john, 1 from lennard, and 1 from tracy. how many apples does she have now?
The accepted value of a length measurement is 200 cm and the experimental value is 198 cm what is the percent error
The percent error of the given problem is 1% inaccuracy.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
We have been given that accepted value of a length measurement is 200 cm and the experimental value is 198 cm.
Actual value = 200
Estimated value = 198
The percent accuracy,
198/200 x 100%
= 99%
Therefore,
Error = Actual value - Estimated value
Percent Inaccuracy: 100 - 99%
= 1% inaccuracy
Hence, the percent error of the given problem is 1% inaccuracy.
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Please help me
True or false. In order for a disjunction statement to be false, both of its component statements must be false. Explain.
The answer is true. This was just on my quiz and I know its correct.
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
Answer:
the common difference of the sequence (d) = -3
Step-by-step explanation:
Given sequence is 1st term, 2nd term, 3rd term
= 5, 2, -1
It is an arithmetic sequence.
The common difference (d) = second term - first term
d = 2 - 5
d = -3
Therefore, the common difference of the sequence (d) = -3
Hope this will helpful.
Thank you.
What is -2,3 rotated 90 degrees counterclockwise around the origin?
Answer(-3,2)
Step-by-step explanation:
What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.
Answer:
Step-by-step explanation:
-5(x -6) = 10x . . . . . given
-5x +30 = 10x . . . . distributive property of multiplication over addition
30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)
2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)
hope this helped
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation:
edg.
What is the length of each side of a square room if the area is 400 ft²?
Please help me this ...
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
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I need help making an inequality.The problem is down below: The student council wants to rent a ballroom for the junior prom. The ballroom's rental plan is $1500 for 3 h and $125 for each...
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Mathematics 5 pts 2 minutes ago
What is the sum of the first eight terms -800, -200, -50, -12.5... etc divide by 4 each time i could do this but im too lazy :p
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Mathematics 5 pts 5 minutes ago
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
ANSWER
Mathematics 5 pts 5 minutes ago
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
Which of the following is a solution to the system shown below? y = 3x 2 - 8x - 2 and 2x - y = 5
Answer:
(1/3, -13/3)
Step-by-step explanation:
I know this is correct because I got this question right on my quiz. Exact question, word for word. Hope this helps!
Suppose g(x) = f(x + 2) – 3. Which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
B. the graph of g(x) is shifted 2 units right and 3 units up
Step-by-step explanation:
just got it right
We conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. Option D is the correct answer.
The given function is g(x) = f(x + 2) – 3.
What is a function?A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
To shift a function right:
Subtract inside the function's argument. For example, f(x)-b is basically f(x) shifted b units to the right.
Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.
To move a function down:
Subtract outside the function. For example, f(x)-b is basically f(x) moved down 3 units.
So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units down.
Therefore, we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. So, option D is the correct answer.
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How do I write the interval(s) for which f(x) is greater than or equal to 0 (interval notation)
To write intervals where f(x) is greater than or equal to 0, solve the equation f(x) >= 0 for x. The solutions are then expressed in interval notation. For instance, x >= 3 is written as [3, infinity).
To write the interval for which f(x) is greater than or equal to 0 in interval notation, you first need to establish where the function is above or touching the x-axis. With algebraic functions, you simply solve the equation f(x) >= 0 for x to find where the function is non-negative. You then write these solutions in interval notation. For example, if your solution was x >= 3, you would write this in interval notation as [3, infinity). Also, keep in mind that round brackets ( ) are used when the number is not included in the interval while square brackets [ ] are used when the number is included.
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Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13
is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
Answer:
5 2/3
Step-by-step explanation:i thought this problem was literally impossible to do and its stopped me from progressing but i finally found out the answer and here it is
Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)
Solve for the variable "a" in this equation. Show work:
c=8πab
What is the approximate value of x? Round to the nearest tenth.
A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm
x = 6cm * sin(50) = 4.59
rounded to 4.6
Answer is C
Answer:
option C is correct
The approximate value of x is, 4.6 cm(nearest to tenth)
Step-by-step explanation:
In the given figure; the triangle is right angle triangle:
Label the figure:
then, the triangle XYZ is right angle triangle.
Using trigonometric ratio:
The ratio of the opposite side of a right triangle to the hypotenuse is called the sine. i.e,
[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]
using sine ratio in triangle XYZ:
[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]
Substitute the value of XY = x cm and XZ = 6 cm in above ratio:
[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or
[tex]0.76604444247801 = \frac{x}{6}[/tex]
Simplify:
[tex]x= 4.59626665[/tex] cm
Therefore, the approximate value of x nearest to tenth is, 4.6 cm
3y + 2z = 12 and y – z = 9.
Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20
For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation. No, this is not a direct variation. Yes, this is a direct variation with k = . Yes, this is a direct variation with k = 1. Yes, this is a direct variation with k = 3.
Answer:
it is A "No, this is not a direct variation."
Step-by-step explanation:
i jus took the test
Pressure and volume have an inverse relationship, known as Boyle's Law, where if pressure increases, volume decreases and vice-versa. This is represented by the mathematical equation P.V = k, where k is a constant. This is graphically represented as a hyperbola.
Explanation:From the details available, it can be concluded that the relationship between pressure (P) and volume (V) is not a direct variation, but an inverse one. This relationship is also known as Boyle's Law, which states that the product of the pressure and volume for a given amount of gas at a constant temperature remains constant. Mathematically this can be written as P = k·1/V or P.V = k, where k is a constant.
This means that when the pressure increases, volume decreases and vice-versa. If you were to graphically represent this, you would get a hyperbola, not a straight line, which distinguishes it as an inverse relationship rather than a direct one.
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The ratio of the angle measures of the acute angles in a right triangle is 1:2 . What is the measures of these angles a. 30 and 60 b. 45 and 90 c. 60 and 120 d. 10 and 20
Answer:
30 & 60
Step-by-step explanation:
The tutor is correct, besides the fact that the interior angles would equal 180, not 190. Typos happen.
assume that y varies inversely with x. if y=27 when x=12, find x when y=-12.
A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
The sum of 4 times mike's age and 3 times susan's age is 79. mike is 1 year more than 3 times as old as susan. find each of their ages.
a 12000-gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this pool 3/4 full?
The number of minutes taken to fill the pool in three-fourths full is 225.
Given that,
There is a 12,000-gallon pool filled at the rate of 40 gallons per minute.And, there is three-fourths full.Based on the above information, the calculation is as follows:
[tex]= (12000 \times \frac{3}{4}) \div 40[/tex]
= 225 minutes
Therefore we can conclude that the number of minutes taken to fill the pool in three-fourths full is 225.
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Is the sequence geometric? If so, identify the common ratio.
2, -4, -16, -36, ...
A. Yes; -2
B. Yes; 2
C. Yes; -3
D. No
Answer:
No this is not the sequence geometric.
Step-by-step explanation:
Given : 2, -4, -16, -36, ...
To find : Is the sequence geometric? If so, identify the common ratio.
Solution : We have given that 2, -4, -16, -36, ...
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Geometric Sequence like this:
{a, ar, ar², ar³, ... }
On comparing
2, -4, -16, -36, ...
{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..
So we get { 2, -4, -8, -16...
Therefore , No this is not the sequence geometric.
Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:
D. No Geometric sequence:In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.
In this problem, the sequence is: {2, -4, -16, -36, ...}
[tex]-\frac{4}{2} = -2[/tex]
[tex]\frac{-16}{-4} = 4[/tex]
Different quotients, hence not geometric, and option D is correct.
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Please check and correct the following answers:
What decimal is equivalent to 72/100?
Is the answer 0.72?
Express 0.72 as a fraction in simplest form.
Is the answer 18/25?
What makes the statement true? 9^-2 = ?
Is the answer 1/81
A garden table and a bench cost $799 combined. the garden table costs $49 more than the bench. what is the cost of the bench?
The cost of the bench is $ 375
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the bench be = B
Now , the equation will be
Let the cost of the table be = T
Now , the total cost of the table and bench = $ 799
Substituting the values in the equation , we get
B + T = 799 be equation (1)
And , garden table costs $49 more than the bench
So , T = 49 + B be equation (2)
Substituting the value of T from equation (2) in equation (1) , we get
B + 49 + B = 799
2B + 49 = 799
Subtracting 49 on both sides of the equation , we get
2B = 750
Divide by 2 on both sides of the equation , we get
B = $ 375
Therefore , the value of B is $ 375
Hence , The cost of the bench is $ 375
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find the digit that makes 2,72_ divisible by 6
To find the missing digit to make 2,72_ divisible by 6, add the digit 4.
To find the digit that makes 2,72_ divisible by 6, we need to focus on the divisibility rules for 6. In this case, a number is divisible by 6 if it is divisible by both 2 and 3. For 2, the last digit must be even, and for 3, the sum of the digits must be a multiple of 3.
Given the number 2,72_, the blank digit needs to be 4 to make the number divisible by 6. This is because when the digit 4 is added, the number becomes 2,724, which is divisible by both 2 and 3.