Answer:
6x
take sqrt of 36 which is x and x^2 becomes x. there you go
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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please helppppp. geometry hw !!
Answer:
2/20
I guess..? it's too obvious
Step-by-step explanation:
George read 123 pages in a book yesterday and 85 pages today. He plans to read 200 pages over the next 2 days. Estimate the total number of page he will have read over the 4 days. Explain how you found your answer
Total number of pages to be read by George in these four days
= 408 pages.
What is Addition?In math, addition is the process of adding two or more values together. The numbers being added are known as addends, whereas the result of the addition process, or the final answer, is known as the sum. It is one of the basic mathematical operations we employ on a daily basis.
We add numbers in many various contexts. When we work with time or money, such as when adding up invoices and receipts, adding numbers is one of the most often used operations in daily life.
pages read by george yesterday = 123
pages read by george today = 85
pages to be in next two days as planned by george = 200
Total number of pages to be read by George in these four days
=123+85+200
=408 pages.
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a business owes $8,000 on a loan. every month, the business pays half of the amount remaining on the loan. how much will the business pay in the six-month?
Answer:
$7875
Step-by-step explanation:
1 Month 4000 Paid
2 Months 2000 Paid
3 Months 1000 Paid
4 Months 500 Paid
5 Months 250 Paid
6 Months 125 paid
Total = $7875 Paid
Hope this helped ;)
Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
The equivalent expression of "1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six" is found as. 1.2²/1.4³
Explain about the rule of exponents?A product where the same integer is used repeatedly as a factor is represented by a number raised to a power. The exponent provides the power, and the integer is referred to as the base.Given expression:
" 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six."
This, becomes.
(1.4³/1.2⁴)⁻⁶
Using rule of exponents for multiplication:
x² × x³ = x² ⁺ ³ = x⁵
Apply in equation.
(1.4³/1.2⁴)⁻⁶ = (1.4³ ⁻ ⁶)/(1.2⁴ ⁻ ⁶)
1.4⁻³/1.2⁻²
Further solving:
x⁻¹ = 1/x
x⁻² = 1/x²
Now,
1.4⁻³/1.2⁻² = (1/1.4³)/(1/1.2²)
1.2²/1.4³
The equivalent expression of "1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six" is found as. 1.2²/1.4³
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solve -3x-6 = 18 for x
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To solve the equation -3x-6 = 18 for x, we need to isolate the variable x on one side of the equation.
First, we can add 6 to both sides of the equation to get:
-3x = 24
Then, we can divide both sides of the equation by -3 to get:
x = -8
Therefore, the solution to the equation is x = -8.
The derivative of a function f(x)=2-7sinx is--------
Answer: -7cos(x)
Step-by-step explanation:
d/dx (f(x))= -7cos(x)
¿Cuál es la fórmula para calcular el área de cualquier triangulo?
¡Hola! ¡Ojalá esto ayude!
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La fórmula para calcular el área de cualquier triángulo es:
base multiplicada por la altura y dividida por dos.
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\/
Bh / 2.
PLEASE HELP ME
Sophie deposited money into an account in which interest is compounded
semiannually at a rate of 2.2%. She made no other deposits or withdrawals and the
total amount in her account after 13 years was $22,099.87. How much did she
deposit? Round answer to nearest whole number. Do not include units in the
answer. Be sure to attach your work for credit.
By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.
What is compound interest?Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).
According to given information:We can use the formula for compound interest to solve this problem. The formula is:
\(A = P(1 + r/n)^{(nt)\)
Where:
A = the total amount in the account
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
We know the values for A, r, n, and t, so we can solve for P:
\(A = P(1 + r/n)^{(nt)\)
\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)
\(22,099.87 = P(1.011)^{26\)
22,099.87 = 1.329P
P = 22,099.87 / 1.329
P = 16,637.55
Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.
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¿Qué es y cómo se forman un enlace químico?
Your business requests a 3-month loan for
$500,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.1%?
interest paid = $ [?]
=
Round to the nearest hundredth.
Entor
Answer:
im preety sure its 561500
Step-by-step explanation:
4.1% x 4 is 61500 + 500000 = 561500
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $28 to spend. How many of each type of lunch can she order?
Answer:
She would be able to buy
4 Chicken Salads &
2 Egg Salads
Step-by-step explanation:
4x5=20
leaving 8 dollars
2x4=8
Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.
Step-by-step explanation:
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
if a²-b²=21 and a²+b²=29, which of the following could be the value of ab?
1. -10
2. 5√2
3. 10
Answer:
ab = 10 or -10
Step-by-step explanation:
........
.
how do u solve it step by step?
Answer:
(8,5)(0,-3)
Step-by-step explanation:
-y=-x+3
y=x-3
Substitute for y:
(x-3)^2-2x=9
x^2-6x+9-2x=9
x^2-8x=0
x(x-8)=0
x=0,8
if x=0,
0-y=3
y=-3
if x=8
8-y=3
-y=-5
y=5
Answer :
x - y = 3
x = 3 + y
y^2 - 2x = 9
y^2 - 2(3+y) = 9
y^2 - 2y -6 -9 = 0
y^2 - 2y -15 = 0
Factorize
y = -3 y = 5
when y = -3
x -(-3) = 3
x = 0
when y = 5
x - 5 = 3
x = 8
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
x = one angle
90 - x = complementary angle {complementary angles add up to 90�}
x = 90 - x + 86 {one angle is 86� more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}
one angle is 88�
the complementary angle is 2�
Step-by-step explanation:
The points A, B, C and D lie in order on a straight line
such that
AB:BD = 1:2
AC:CD= 7:2
Find AB:BC:CD
Answer:
7 + 2 = 9, so AC = 7/9 and CD = 2/9
1 + 2 = 3, so AB = 1/3 = 3/9 and
BD = 2/3 = 6/9
AB + BC = AC
3/9 + BC = 7/9, so BC = 4/9
AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2
A partially completed pension spreadsheet showing the relationships among the elements that comprise the defined benefit pension plan of Universal Products is given below. The actuary's discount rate is 5%. At the end of 2016, the pension formula was amended, creating a prior service cost of $120,000. The expected rate of return on assets was 8%, and the average remaining service life of the active employee group is 20 years in the current year as well as the previous two years.
The average remaining service life of the active employee group is 20 years in the current year as well as the previous two years.
The given partially completed pension spreadsheet shows the relationships among the elements that comprise the defined benefit pension plan of Universal Products. A defined benefit plan is a retirement plan in which the employer promises to pay the employee a specified benefit amount at retirement, regardless of the performance of the plan's investments.
The spreadsheet includes the following elements:
1. Beginning PBO (Projected Benefit Obligation): This represents the actuarial present value of the employees' pension benefits earned to date, based on assumptions about future salary levels and retirement dates.
2. Service Cost: This represents the increase in PBO due to employee service during the current year.
3. Interest Cost: This represents the increase in PBO due to the passage of time, calculated by multiplying the beginning PBO by the actuary's discount rate.
4. Prior Service Cost: This represents the cost of retroactively granting benefits to employees for service rendered in prior years.
5. Contributions: This represents the amount that the employer contributes to the pension plan during the current year.
6. Benefits Paid: This represents the amount of pension benefits paid to retirees during the current year.
7. Ending PBO: This represents the actuarial present value of the employees' pension benefits earned to date at the end of the current year.
Given that the pension formula was amended at the end of 2016, creating a prior service cost of $120,000, this amount would be added to the beginning PBO in the current year. The service cost would be calculated based on the employees' service during the current year, and the interest cost would be calculated based on the beginning PBO and the actuary's discount rate. The expected rate of return on assets would be used to calculate the actual return on plan assets, which would be added to the plan assets. The contributions made by the employer would also be added to the plan assets.
To determine the plan's funded status, we would calculate the difference between the plan assets and the ending PBO. If the plan assets are greater than the ending PBO, the plan is overfunded, and if the plan assets are less than the ending PBO, the plan is underfunded.
The average remaining service life of the active employee group is 20 years in the current year as well as the previous two years. This information would be used to calculate the projected benefit obligation, which is the present value of the future pension benefits that the employees have earned as of the current year.
In summary, the spreadsheet shows the relationships among the key elements of Universal Products' defined benefit pension plan. The plan's funded status can be determined by comparing the plan assets to the ending PBO. The average remaining service life of the active employee group is an important input in the calculation of the projected benefit obligation.
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on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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What is the discriminant of the quadratic equation 9x^2– 8x – 2 = 0?
Answer:
\(\boxed {\boxed {\sf 136}}\)
Step-by-step explanation:
The quadratic formula helps us find the roots of a quadratic equation. The equation is:
\(\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} } \\ \end{array}\)
where \(ax^2+bx+c=0\)
The discriminant is just the part under the square root. This helps tell us if there are two, one, or zero real solutions.
The discriminant is:
\(b^2-4ac\)
We are given the quadratic: \(9x^2-8x-2=0\)
Therefore, a is 9, b is -8, and c is -2.
\(a=9 \\ b= -8 \\c= -2\\\)
\((-8)^2-[4(9)(-2)]\)
Solve the exponent.
(-8)²= -8*-8=64\(64-[4(9)(-2)]\)
Multiply 4, 9, and -2.
4*9*-2= 36*-2=-72\(64-(-72) = 64+72 \\=136\)
The discriminant is 136. Since it is a non-zero, positive number, this quadratic has 2 real solutions/zeroes/roots.
What is the solution of the equation 3^x – 1 = 7? Round your answer to the nearest ten-thousandth.
The solution of the equation is to the nearest ten-thousandth is x = 2.7712.
What is natural logarithm?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. Typically, the natural logarithm of x is expressed as ln x, loge x, or, if the base e is implicit, just log x.
The given equation is \(3^{x-1} = 7\).
Take natural log on both sides of the equation:
\(\ln (3^{x-1} )=\ln( 7)\)
(x - 1) ln(3) = ln(7)
x - 1 = ln(7) / ln(3)
x = 1 + ln(7) / ln(3)
x = 2.7712
Hence, the solution of the equation is to the nearest ten-thousandth is x = 2.7712.
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Athletes in a particular sport are classified as either offense or defense. The distribution of weights for the athletes classified as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. The distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. There are 1,000 athletes in each classification. Which of the following is the best description of a histogram of the weights of all 2,000 athletes?
A. Skewed to the right (positively skewed).
B. Skewed to the left (negatively skewed).
C. Approximately uniform and centered at 250 pounds.
D. Approximately normal and centered at 250 pounds.
E. Bimodal.
The best description of the histogram for the 2000 athletes will BE a BIMODAL distribution because two distinct peaks will be formed by the
The distribution has two obvious groups; The OFFENCE and DEFENSE each of which has a NORMAL distribution.
For a NORMAL distribution, we have a peak centered in between to tails.
• The left tail of the offense class is about 150
• Centre or peak at 200
• Right tail at about 250
The right tail of the offense class correlates to the left tail of the defense class which ranges from of 250 to 350 with it's centre at 300.
An histogram in the form of the picture attached below will be obtained.
Hence, there are two distinct peaks and the right tail of one distribution is synonymous with the left tail of the other.
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This is the question I need an answer to
The correct option is (D) The subject would not receive treatment and could spread the disease.
The probability is 0.04
and, The unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
What is Probability ?In mathematics, probability defines the occurrence of something. Or we can say that it defines the chance of something to be happen or occur.
Probability is the mathematical branch that studies and deal with the possible outcomes of some given events together or some set of event with the outcomes of distributions.
The minimum value of probability is 0 while the maximum value is 1 .
How to calculate probability?Suppose if there are some favorable outcomes whose probability we have to find out then the formula is :
\(prob ( fav \ outcome) = \frac{number \ of \ favorable \ outcome}{total \ number \ of \ outcomes}\)
In the given question :
total outcomes = 333 + 14 = 347
favorable outcome = 14
thus, probability = 14 / 347 = 0.04
and unfavorable consequence of error is "The subject would not receive treatment and could spread the disease."
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The roots of a quadratic equation are
1/ 3 and -2. Determine the equation
Answer: God
Step-by-step explanation:
The reason it’s god is because god created everything so he know everything. So your answer is god
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10\( \underline{ \underline{ \text{To \: find}}} : \)
Length of LM ( Perpendicular )\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)
\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)
⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)
⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)
⤑ \( \sf{ \sqrt{100 - 64}} \)
⤑ \( \sf{ \sqrt{36}} \)
⤑ \( \boxed{ \sf{6\: units}}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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The following list gives the number of public libraries in each of 8 cities.
8, 8, 11, 7, 10, 7, 9, 9
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
There are 3 modes: 8, 7, 9
Step-by-step explanation:
Mode is the number that appears the most often
given: tangent TA is parallel to KM. Prove: KS = MS
When tangent TA is parallel to KM, it can be proved that KS = MS since they're congruent.
How to prove the tangent?It should be noted that when the tangent line TA is parallel to chord KM, it simply means that segment KS and MS are congruent.
Therefore, since they're congruent, SKM and SMK are equal. By the theorem of inscribed angle, we will have:
SKM = 1/2m(MS)
SKM = 1/2m(KS).
Since SKM = SMK
1/2m(MS) = 1/2m(KS).
MS = KS
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Please help quickly as possible thank you