Answer:
42
Step-by-step
do it backward starting from 8
Answer:
42
Step-by-step explanation:
Absolute vale of x+2 if x is less than 2
Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).
Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).
Which expression is equivalent to a^7
Answer:
\(\sqrt{a^{6} *a}\)
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. \(a^{6}*a^1=a^(6+1)=a^7\)
560/17 participate in a football tournament if each team plays against every other team ones, how many matches will be played tota
According to the information, it can be inferred that the total matches that would be played in total are 160,461.
What is a mathematical combination?A combination is a term to refer to an arrangement of elements in no particular order. For example:
When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.
How to calculate how many matches will be played in total?To calculate how many matches will be played in total we have to perform the following procedure:
\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)
As we can see after the combination, the number of games that would be played in this tournament would be 160,461.
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What’s 137% x 680? give your answer to 1 decimal place
if we will divide 137 with 100 and then multiply it with 680 you will gett your answer
the answer is 931.6
Answer:
931.6
Step-by-step explanation:
We need to change the percent to decimal form.
137% = 1.37
Multiply this by 680.
1.37 * 680
931.6
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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i have some work that i need to get done
Answer:
B
Step-by-step explanation:
Fractions which may appear different but which have the same value are called (B) equivalent fractions.
IRAs. You have $500,000 in your IRA (Individual Retirement Account) by the time you retire. You choose to invest this money in two funds: Fund A pays 5.2%/year and Fund B pays 7.7%/year. How should you divide your money between Fund A and Fund B to get an annual return of $34000?
Using the system of equations, we found that the amount to be invested in fund A is $180,000 and in fund B is $320,000.
What is meant by an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
The amount in the IRA account = $500,000
Let the amount invested in fund A be x and fund B be y.
x + y = 500,000
The amount received annually for fund A = 0.052x
The amount received annually for fund B = 0.077y
This amount is given as:
0.052x + 0.077y = 34,000
Now we have a system of equations.
x + y = 500,000
0.052x + 0.077y = 34,000
Multiply the first equation by 0.052.
0.052x + 0.052y = 26,000
0.052x + 0.077y = 34,000
Subtracting,
-0.025y = -8000
y = 320,000
Then, x = 500,000 - y = 500,000 - 320,000 = 180,000
Therefore using the system of equations, we found that the amount to be invested in fund A is $180,000 and in fund B is $320,000.
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solve the equation
7x + 3 = 4x
I need help with this please
Point located at each location: 1) A 2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are: B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7) 15) Y(7,6) 16) R( 9,8) 17) F(9,0) 18) S(3,6) 19) C(6,7)
Describe Ordered pair?
An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.
In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.
Point located at each location is:
1) A
2) I
3) W
4) H
5) X
6) G
7) J
8) N
9) U
10) M
The ordered pair for given points is:
11) B(2,8)
12) E(0,0)
13) T(3,3)
14) Q(8,7)
15) Y(7,6)
16) R( 9,8)
17) F(9,0)
18) S(3,6)
19) C(6,7)
The graph for remaining is questions is attached below.
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rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = -2(x + 2)² + 6
Step 2: Find Standard Form
Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6Distribute -2: f(x) = -2x² - 8x - 8 + 6Combine like terms (constants): f(x) = -2x² - 8x - 2A painter charges $15.66 per hour, plus an additional amount for the supplies. If he made $190.08 on a job where he worked 7 hours, how
much did the supplies cost?
A $27.15
B. $90.46
C. $109.62
OD. $80.46
Solve the following right triangle. Round to the nearest tenth.
2/7 = 4/5 + 1/7 q answe for q
Answer:
??
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
alexthedefualt
2+2?
4
1
22
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
your answer is k=10 the step by step is kn the picture
what are the possible values of m if the Point p(m, 4) is 5√5 units away from Q (-3,-1).
To find the possible values of m, we can use the distance formula in a coordinate plane. The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
\(\displaystyle\sf d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}\)
In this case, we have the point P(m, 4) and the point Q(-3, -1), and the distance between them is 5√5. Plugging the values into the formula, we get:
\(\displaystyle\sf 5\sqrt{5} = \sqrt{(-3-m)^2 + (-1-4)^2}\)
Simplifying the equation, we have:
\(\displaystyle\sf 5\sqrt{5} = \sqrt{(-3-m)^2 + (-5)^2}\)
\(\displaystyle\sf (5\sqrt{5})^2 = (-3-m)^2 + (-5)^2\)
\(\displaystyle\sf 125 = (-3-m)^2 + 25\)
\(\displaystyle\sf 125 - 25 = (-3-m)^2\)
\(\displaystyle\sf 100 = (-3-m)^2\)
Taking the square root of both sides, we get:
\(\displaystyle\sf \sqrt{100} = -3 - m\) or \(\displaystyle\sf \sqrt{100} = -3 + m\)
Simplifying further, we have two possibilities:
\(\displaystyle\sf 10 = -3 - m\) or \(\displaystyle\sf 10 = -3 + m\)
For the first equation, solving for m, we have:
\(\displaystyle\sf m = -3 - 10\)
\(\displaystyle\sf m = -13\)
For the second equation, solving for m, we have:
\(\displaystyle\sf m = 10 - (-3)\)
\(\displaystyle\sf m = 13\)
Therefore, the possible values of m are \(\displaystyle\sf -13\) and \(\displaystyle\sf 13\).
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The diagonal of a rectangle is 2under root 13cm.If its length and breadth are in the ratio 3:2, then find its area.
Answer:
Given :
The diagonal of a rectangle is 2 ✓13 cm.
The length and breadth are in the ratio
3:2.
To find :
The Area of the rectangle.
Solution :
Given that
The ratio of the length and breadth of a rectangle = 3:2
Let they be 3X cm and 2X cm
We know that
The diagonal of a rectangle = √(1²+b³)
units
The diagonal of the rectangle
= √[(3X)³+(2X)³] cm
= √(9x³+4x²) cm
=> √(13X²) cm
=> √13 X cm
According to the given problem
The diagonal of the rectangle = 2√13 cm
=> ✓13 X = 2 √13
=> X = 2√13/√13
=> X = 2 cm
If X = 2 cm then 3X=3(2) = 6 cm
If X = 2 cm then 2X = 2(2)=4 cm
Length = 6 cm
Breadth = 4 cm
We know that
Area of a rectangle = length breadth sq.units
Area of the given rectangle = 6 cm x 4 cm
= 24 cm²
Please help and i will give 200 points next time NEED A ANSWER FAST
Answer:
I gotchu the answer is 47
Christie makes changes to her budget at the end of every month. What is her reason for doing this in terms of smart financial planning?
A.
She keeps changing her mind about her goals.
B.
She is reviewing her goals and aligning the budget to work toward them.
C.
Her needs keep changing, so she changes her monthly budget.
D.
She realizes that her budget is tightly aligned to her goals.
The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.
Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.
Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.
Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.
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what is the length of AE when E is the midpoint of AG
Answer:
c. 35
Step-by-step explanation:
\( \binom{3x + 3}{5x - 11} \)
According to the rational root theorem, the numbers below are some of the potential roots of f(x)=10x^3+29x^2-66x+27. Select all that are actual roots
-9/2
-9/10
3/5
1
3
Answer:
A, C, D
Step-by-step explanation:
For edge
what is the quotient of 837 and 26
Answer:
The quotient of 837 divided by 26 is approximately 32.2692 (rounded to four decimal places).
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
18 19 21 22 25 27 29 30 31 34 find the mean
Answer:
25.6Step-by-step explanation:
Since the mean is also average
You
1) Add all your values
-----18+19+21+22+25+27+29+30+31+34
= 2562) Then, divide [256] by how many points/numbers you have
-----256 / 10
= 25.6Your average/mean is 25.6
Select all the correct answers. What are the solutions to this equation? 2 x 2 = - 10 x + 12 x = - 6 x = - 2 x = 1 x = - 3 x = 6
Answer:
The correct solutions to the equation 2x^2 = -10x + 12 are x = -2 and x = 3.
Step-by-step explanation:
a small library has 4 times as many story books as puzzle books. if it has 32 puzzle books, how many story books does it have?
WHICH EQUATION HAS THE SAME SOLUTION AS 5X-0.5(X+0.5)+0.75=3.5X-0.5(X+1)
Answer:
x = 0.6
Step-by-step explanation:
0.5(X+0.5) + 0.75 = 3.5X - 0.5(X+1)
0.5x + 2.5 + 0.75 = 3.5x - 0.5x - 0.5
0.5x + 2.5 + 0.75 = 3x - 0.5
0.5x + 3.25 = 3x - 0.5
-2.5x + 3.25 = -0.5
-2.5x = -1.5
x = 0.6
a rare virus has been rumored to be used in biological warfare. in the US, only 0.5% of the population is diagnosed with this virus each year.
(A) in a random sample of 300 americans, what is the probability that less than 2 will get diagnosed with this rare virus this year?
(B) a small town in the US is located beside a medical military research facility. from this town a sample of 300 residents were tested, and it was found that 15 were positive for this virus. what might you conclude ( is 15 or more rare or normal)? what do you think may have occurred?
Answer:
A) To find the probability that less than 2 people out of a random sample of 300 will be diagnosed with the rare virus, we can use the binomial distribution.
Let X be the number of people in the sample diagnosed with the virus. Then, X follows a binomial distribution with n = 300 and p = 0.005, since each person in the sample has a 0.5% chance of being diagnosed with the virus. We want to find P(X < 2).
Using a binomial probability table or calculator, we find:
P(X < 2) = P(X = 0) + P(X = 1) = 0.9722
Therefore, the probability that less than 2 people out of a random sample of 300 will be diagnosed with the rare virus this year is approximately 0.9722 or 97.22%.
B) To determine whether 15 positive cases out of a sample of 300 residents in a small town located beside a medical military research facility is rare or normal, we need to compare this result to what we would expect by chance alone.
In a random sample of 300 Americans, we would expect 300 x 0.005 = 1.5 people to be diagnosed with the virus on average. The standard deviation of a binomial distribution is sqrt(np(1-p)), which for this case is sqrt(300 x 0.005 x 0.995) = 1.09.
We can use a normal approximation to the binomial distribution to calculate the probability of observing 15 or more positive cases in the sample:
Z = (15 - 1.5) / 1.09 ≈ 12.39
Using a standard normal distribution table or calculator, we find that P(Z > 12.39) is extremely small, close to zero.
Therefore, observing 15 or more positive cases in a sample of 300 is extremely rare and unlikely to occur by chance alone. It is possible that the medical military research facility located beside the town is the source of the virus, or that there is another explanation for the high number of cases in the town. Further investigation would be needed to determine the cause.