The sum of the multiples of 9 till 81 is 405 by arithmetic progression.
We have to sum the multiples of 9 up to 81
= 9 + 18 + … + 45 + …+ 72 + 81
We will use arithmetic progression for this.
we get that:
initial term = a = 9
Common difference = d = 9
n = 9
Sum of terms = n / 2 ( 2 a + ( n - 1) d )
Sum = 9 / 2 (2( 9) + 8 ( 9))
sum = 9 / 2 (18 + 72)
Sum = 9 / 2 ( 90)
Sum = 810 / 2
Sum = 405
Therefore, we get that, the sum of the multiples of 9 till 81 is 405 by arithmetic progression.
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y=2x-4 -21x + 3y = 3
Answer:
It's a stretch, but I'm gonna guess Y = 12.
Step-by-step explanation:
For a fully discrete whole life insurance of 1000 issued to (x), you are given:
2Ax = 0.08
Ax = 0.2
The annual premium is determined using the equivalence principle.
S is the sum of the loss-at-issue random variables for 100 such independent policies. Calculate the standard deviation of S. (Ans 2500)
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
Given that:
2Ax = 0.08
Ax = 0.2
A fully discrete whole life insurance issued to (x) is 1000.
Firstly we have to find out the value of variance S.
Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2
Variance S = (1000)^2 * [0.08 - 0.2^2]/(1- 0.2)^2
Variance S = (1000)^2 * [0.04]/.64
Variance S = (1000)^2 * .0625
Variance S = 62500
Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)
Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)
Standard deviation = 1000 * 0.2/0.8
Standard deviation = 1000 * 1/4 = 250
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
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Which point on the number line below represents the number opposite the number - 5 1/2?
Point S represent the point which is opposite to the number -5 \(\frac{1}{2}\).
What is Number Line?Number line is a straight line drawn horizontally where the integers are place in an equal intervals, usually 1 unit apart.
Number line includes negative integers, 0 and positive integers. 0 is located in the middle of the number line.
Midpoint of the number line is 0.
So the number opposite to a negative number must be at the positive side with the same magnitude.
-5 \(\frac{1}{2}\) is actually -5.5, which is located at the exact middle in between -5 and -6.
Then the opposite of the number -5 \(\frac{1}{2}\) is +5 \(\frac{1}{2}\).
+5 \(\frac{1}{2}\) lies in the positive side in between 5 and 6, which is represented by point S.
Hence point S represents the number opposite the number -5 \(\frac{1}{2}\).
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can someone help me w this ?
Answer:
Angle SXU = 128°
Step-by-step explanation:
Angle RXU is Angle 3, so Angle 3 = 52°
Since the angle of a line adds to 180°,
and we are finding Angle SXU or 2,
we can say...
Angle SXU = 180° - 52°
Angle SXU = 128°
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
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A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form
Answer:
y = 5x + 4
Step-by-step explanation:
Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b
4 = 0 + b
4 = b
y = 5x + 4
PLEASEEE HELP MEEE
A triangle has side lengths 5 in. and 8 in. What is the range of possible lengths for the third side?
Answer:40
Step-by-step explanation:
Step-by-step explanation: use a ruler measure 5 in on the bottom or top of the triangle and 8 in on the top or bottom the try to connect it with the ruler than see how many inches it is when it connects.
A number plus - 43 Is 22. What's the number?
Answer:
65
Step-by-step explanation:
So a number (let's call that x) plus -43 is 22. In an equation:
\(x-43=22\)
To find the number, add 43 to both sides. The left cancels:
\(x=65\)
And we're done!
Answer:
65
Step-by-step explanation:
Lets represent "A number" with x.
x - 43 = 22 (Add 43 to both sides)
x = 65
Which of the following can be used as another name for the quadrilateral ABCD? *
a. Quadrilateral ABDC
b. all of the mention
c. Quadrilateral ADCB
d. Quadrilateral ADBC
A quadrilateral is a polygon with four sides. Another name for quadrilateral ABCD is ADCB.
What is a quadrilateral?A four-sided polygon with four edges and four corners is known as a quadrilateral. The name comes from the Latin words Quadri, which means "four," and latus, which means "side."
As we know that in order to name a polygon the letters should be always end-to-end connected, therefore, letters can't be chosen randomly.
For example, if there is a quadrilateral as shown below in the image then it can be named PQRS or PSRQ. Therefore, the letters should be consecutive to each other.
Hence, the other name for quadrilateral ABCD is ADCB.
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Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
HELP ASAP
Which equation best represents circle A?
(x-2)2+(y-1)2=3
(x-2)2+(y-1)?=12
(x + 2)2+(y-1)=3
(x + 2)2+(y-1)2= 12
Answer the 2 question in the photo
[easy points]
Answer:
Cube = 8 vertices
Pyramid=5 vertices
Step-by-step explanation:
Cube = 8 vertices
Pyramid=5 vertices
What is the slope of a line perpendicular to 10x + 4y = 20? a. −4
b. −4/10
c. −10/4
d. 10/4
e. 4/10
Correct option is E, The slope of a line perpendicular to y = -10/4 x + 5 is 4/10
What is the slope of a line perpendicular?The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
Yes, the slope of a line perpendicular to the line 10x + 4y = 20 is indeed -4.
To find the slope of a perpendicular line, we can find the negative reciprocal of the slope of the original line.
The slope of line 10x + 4y = 20 can be found by solving for y and writing the line in slope-intercept form (y = mx + b), where m is the slope.
By solving for y in the equation 10x + 4y = 20:
10x + 4y = 20
4y = -10x + 20
y = -10/4 x + 20/4
y = -10/4 x + 5
So the line is in the form y = -10/4 x + 5, which is the slope-intercept form of a line where the slope (m) is -10/4 and the y-intercept (b) is 5.
Now, to find the slope of a line perpendicular to this line, we need to find the negative reciprocal of the slope of this line. The negative reciprocal of -10/4 is 4/10.
hence,. the slope of a line perpendicular to y = -10/4 x + 5 is 4/10
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find X in the figure below
Answer:
62 degrees
Step-by-step explanation:
Hope this helps
:))
Find the factored form of x2 + 11x + 30.
» (x+6)(x-5)
» (x+6)(x+5)
» (x+10)(x+3)
» (x-10)(x-3)
irrelevant deleted
Answer:
2nd option
Step-by-step explanation:
x² + 11x + 30
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)
The factors are + 6 and + 5 , since
6 × 5 = 30 and 6 + 5 = 11 , then
x² + 11x + 30 = (x + 6)(x + 5) ← in factored form
Answer:
(x+6)(x+5)
because the sum of 6+5 is 11x
and the multiplication of 6·5 is 30
What are the steps to this problem (along with the answer)?
Answer:
x = 3
Step-by-step explanation:
In this piece-wise function, there are three defined sections, each for a different range of x. To find an x where y is -9, we have to set all parts of it equal to -9.
-x, x < -3
So, we can start by setting -x equal to -9 and solve for x:
-x = -9
x = 9
Our domain for this piece of the function is supposed to be x < -3. x = 9 does not fit into this range, meaning, in this range, there is no x for y = -9.
2x, -3 ≤ x ≤ -2
We can set the value 2x equal to -9 and, again, solve for x:
2x = -9
x = -4.5
The solution x = -4.5 does not fit into the defined domain of -3 ≤ x ≤ -2, therefore it is not a solution.
-x^2, x > -2
One last time, we can set -x^2 equal to -9 and solve for x:
-x^2 = -9
x^2 = 9
x = 3, x = -3
We are looking for a solution that fits into the domain, x > -2, x = -3 does not work, but x = 3 does.
In conclusion, the only solution where it fit the domain was x = 3
Answer:
x = 3
Step-by-step explanation:
x = - 3 in interval - 3 ≤ x ≤ - 2 then f(x) = 2x , so
f(- 3) = 2(- 3) = - 6 ≠ - 9
x = 9 in interval x > - 2 then f(x) = - x² , so
f(9) = - 9² = - 81 ≠ - 9
x = 3 in interval x > - 2 then f(x) = - x²
f(3) = - 3² = - 9
x = - 4.5 in the interval x < - 3 then f(x) = - x , so
f(- 4.5) = - (- 4.5) = 4.5
Thus
y = - 9 when x = 3
for any continuous random variable, the probability that the random variable takes a value less than zero a. is any number between zero and one. b. is more than one, since it is continuous. c. is a value larger than zero. d. is zero.
For any continuous random variable, the probability that the random variable takes a value less than zero D. is zero.
What is a random variable?A variable at random If the potential values of X are either a single interval on the number line or a union of disjoint intervals, then X is continuous.
A continuous random variable has an endless number of possible values. Measurements are typically made with continuous random variables. Height, weight, the amount of sugar in an orange, and the time required to run a mile are all examples.
A continuous probability distribution is one in which the random variable X can have any value is continuous. Because X can take on an unlimited number of values, the likelihood of X taking on any one specific value is zero.
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f(x) = x² - 6x
g(x) = (square root) x
Evaluate.
f(g(25)) =
Answer:
-5
Step-by-step explanation:
is a ez question
Answer: -5
Step-by-step explanation: see photo below
Which Figure is a rotation of the Blue Figure?
A
B
C
D
I’m in 7th grade and falling behind in math. I have a 74 any suggestion to keep focused any free apps?
Answer:
study bunny
plantie
evernote
google calendar
bear
trello
Step-by-step explanation:
these are all free with premium versions
Answer:
well if you have to do some fractions and you dont know that answer and you need the answer right away and you need to show your work. Just look up fraction cauculator or u can look up a mixed fraction cauculator. I hope this helps. :)
and the other thing that helps me stay focus is i listen to music it always helps me consatrats
A bag contains the following marbles: 8 black marbles, 12 blue marbles, 18 brown marbles, and 6 green marbles. What is the ratio of brown marbles to blue marbles? Express your ratio as a fraction or with a colon.
Sandra used partial products to find the product of
438
×
17
by multiplying 438 by 1 and 438 by 7 to get 3,066. Find the product of
438
×
17
by using partial products. Is Sandra correct? Compare your answer to Sandra's and explain why it is or is not the same.
Answer:
lo siento no se lo siento
3. Use the supply. and demand framework for the market for reserves to show what happens when the Fed lowers the target federal funds rate.
When the Fed lowers the target federal funds rate, it stimulates increased demand for reserves, increases the supply of reserves, and lowers the federal funds rate, leading to lower short-term interest rates and expanded lending, which promotes economic activity.
When the Federal Reserve (Fed) lowers the target federal funds rate, it has implications for the market for reserves.
Let's analyze the effects using the supply and demand framework for the market for reserves.
Demand for Reserves:
Lowering the target federal funds rate reduces the cost of borrowing reserves for banks.
As a result, the demand for reserves increases.
Banks are incentivized to borrow more reserves to meet their reserve requirements and support lending activities.
Supply of Reserves:
The supply of reserves is controlled by the Federal Reserve through open market operations.
To lower the target federal funds rate, the Fed typically engages in expansionary monetary policy by purchasing government securities from banks.
These purchases inject reserves into the banking system, increasing the supply of reserves.
Equilibrium:
The increase in the supply of reserves and the higher demand for reserves due to lower borrowing costs will shift the equilibrium in the market for reserves.
The equilibrium federal funds rate, the rate at which banks lend reserves to each other, will decrease.
Effects on Other Interest Rates:
The federal funds rate serves as a benchmark for other short-term interest rates.
As the federal funds rate decreases, other borrowing rates, such as interbank lending rates and short-term consumer and business loans, tend to decline as well.
This stimulates borrowing and investment, supporting economic activity.
Money Supply and Economic Activity:
Lower borrowing costs encourage banks to increase lending, leading to an expansion of the money supply.
Increased lending and investment can stimulate economic growth, as individuals and businesses have access to cheaper credit for consumption and investment purposes.
In summary, when the Fed lowers the target federal funds rate, it stimulates the demand for reserves, increases the supply of reserves, decreases the federal funds rate, lowers other short-term interest rates, expands the money supply, and supports economic activity.
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What is a 6 digit number that can be divisible by 2,3,5
Answer:
150270
There's still lots of other numbers.
Answer:
999990
Step-by-step explanation:
Needs to be divisible by 30, 999990 was just the most interesting one out of all the possible ones.
Tom spent $17,886 for a new car. The car will depreciate 11% each year. What will the car be worth after 11
years? Round your answer to the nearest cent. Do not include the dollar sign in your answer.
Answer:
495.62
Step-by-step explanation:
Given data
Amount=$17,886
Rate = 11%
TIme= 11 years
Let us apply the compounding expression
A=P(1-r)^t----------The negative sign is due to decreasing value
substitute
A= 1786(1-0.11)^11
A=1786(0.89)^11
A=1786*0.2775
A=495.615
Hence the approximate Amount will be 495.62
8. (Total: 5 points) The probability density function of a continuous random variable Y is given as [o√V = -1, 1, for 0 < y < 1; f(y) = otherwise, where C is a constant. Find the variance of Y.
The probability density function of a continuous random variable Y is given as {o√V = -1, 1, for 0 < y < 1; f(y) = otherwise,
where C is a constant. We have to find the variance of Y.Solution: The probability density function (PDF) must satisfy two conditions. Firstly, it must be greater than or equal to zero for all values of Y, and secondly, the integral of the function over the entire range of Y must be equal to 1.(1)
Since Y can take any value between 0 and 1, we have$$\int_{-\infty}^\infty f(y) dy = \int_{0}^1 f(y) dy = 1$$where C is a constant. Therefore,$$\int_{0}^1 f(y) dy = C \int_{0}^1 \sqrt{y} dy + C \int_{0}^1 \sqrt{1-y} dy + C \int_{1}^\infty dy$$$$= C \left[\frac{2}{3} y^{\frac{3}{2}} \right]_{0}^1 + C \left[ -\frac{2}{3} (1-y)^{\frac{3}{2}}\right]_{0}^1 + C \left[ y \right]_{1}^\infty$$$$ = \frac{4C}{3}$$Therefore, $$\frac{4C}{3} = 1$$$$\implies C = \frac{3}{4}$$Thus, the PDF of Y is$$f(y) = \begin{cases} \frac{3}{4} \sqrt{y}, &0.
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Add and subtract fractions word problems
Answer: Jessica ate 3/10 of the pizza
Step-by-step explanation:
We know that combined, Lulu and Jessica ate 7/10 of a pizza. Since we are given that Lulu at 4/10 of the pizza, we subtract 4/10 from 7/10. Because the denominators are the same, we can easily subtract without any extra step. 7/10 - 4/10 = 3/10
Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
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Organizational politics is triggered Multiple Choice in organizations that support altruism. in the presence of formal rules and regulations. by scarce resources in the workplace. when resource allocation decisions are clear and specific.
Organizational politics can be triggered by various factors, including scarce resources in the workplace and clear and specific resource allocation decisions. The correct option is (C):Organizational politics is triggered by scarce resources in the workplace.
However, it is not necessarily limited to these factors alone. Organizational politics can also arise in organizations that support altruism, where individuals may compete for recognition and resources to further their own goals or agendas. Even in the presence of formal rules and regulations, organizational politics can still occur as individuals seek to advance their own interests within the organization. Therefore, it is important for leaders to be aware of the potential for organizational politics and take steps to mitigate its negative effects.
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f(x) = 3V4x
g(x) = 6x + 1
Find
(f/g) (x). Include any restrictions on the domain.
-
6.2+1
6.2+1
O A () (a) = *** -6
O B. (1) (a) = 0,20
Oc () () = 30
OD (1) (x) = 4+++
62+1
14.2
42
6.0+1:
Answer:
D
Step-by-step explanation:
(\(\frac{f}{g}\) )(x)
= \(\frac{f(x)}{g(x)}\)
= \(\frac{\sqrt[3]{4x} }{6x+1}\) ; x ≠ - \(\frac{1}{6}\)
The denominator cannot be zero as this would make the expression undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
6x + 1 = 0 ( subtract 1 from both sides )
6x = - 1 ( divide both sides by 6 )
x = - \(\frac{1}{6}\) ← restricted value