Answer:
To simplify the expression p/ab+2q/ac, we need to find a common denominator for the two fractions in the denominator. The common denominator is abc.
Thus,
p/ab + 2q/ac
= p*c/abc + 2q*b/abc (multiplying the first fraction by c/c and the second fraction by b/b)
= pc/abc + 2qb/abc
= (pc + 2qb) / abc
Therefore, the simplified expression is (pc + 2qb) / abc.
Can someone pls help me on this?
Worth 50 points!!
+
1st to answer gets Brainliest!!
The measure of the sector that represents the probability of the medicine curing one person is 216°. So correct option is A.
Describe Sector?In geometry, a sector is a region of a circle enclosed by two radii and an arc. The two radii form an angle, called the central angle, which defines the boundary of the sector.
The area of a sector can be calculated using the following formula:
Area of sector = (central angle / 360) * π * r²
where:
central angle is the angle formed by the two radii
r is the radius of the circle
π is the mathematical constant pi, which is approximately 3.14159
The perimeter of a sector is the sum of the length of the arc and the length of the two radii. The length of the arc can be calculated using the formula:
Length of arc = (central angle / 360) * 2 * π * r
Sectors are often used in real-world applications, such as calculating the area of a pizza slice or the distance traveled by a car in a circular racetrack. They are also used in trigonometry to calculate angles and side lengths of triangles formed by intersecting chords and tangents in circles.
The probability of the medicine curing one person is given by P(curing) = 3/5. Since the spinner is a circle of 360°, the measure of the sector that represents the probability of the medicine curing one person is:
360° × P(curing) = 360° × 3/5 = 216°
Therefore, the answer is A) 216 degrees.
To know more about probability visit:
https://brainly.com/question/28246675
#SPJ1
Ronaldo has three and three-sevenths sandwiches. He shares three-fourths of them with his family. How many sandwiches did Ronaldo share?
Ronaldo therefore feeds his family 2 and 4/7 sandwiches as he eats sandwiches that are three and three-sevenths .
what is unitary method ?A mathematical strategy for resolving proportionality issues is the unitary method. Finding the value of one unit of a quantity and utilising that value to determine the value of a different number of units of the same quantity is what this process entails. The unitary technique can be used, for instance, to determine the cost of any quantity of apples if you know that 5 apples cost $10. $10/5 = $2 would be the price of one apple. By multiplying the quantity of apples by the price of one apple, you could then calculate the price of any other number of apples. For instance, 8 apples would cost 8 x $2, or $16, to purchase.
given
Ronaldo eats sandwiches that are three and three-sevenths of a sandwich, which is an incorrect fraction:
3 3/7 = (7*3 + 3)/7 = 24/7
He divides these sandwiches into thirds and fourths among his family, making a total of:
(3/4) * (24/7) = (324)/(47) = 18/7
We can change this incorrect fraction into a mixed number because:
18/7 = 2 and 4/7
Ronaldo therefore feeds his family 2 and 4/7 sandwiches as he eats sandwiches that are three and three-sevenths .
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Which of the following expressions is equal to 9?
4 x (one-half x 6) ÷ 3
6 ÷ (one-fourth x 3 x one and one-fourth)
8 + (one-third x 6) ÷ 5
10 − (one-fifth x 10) + 1
his annual salary is $91 520 and he has $7300 in allowable tax deductions.
What is his taxable income?
Taxable income = $
Answer:
$84,220
Step-by-step explanation:
To calculate the taxable income, we need to subtract the allowable tax deductions from the annual salary:
Taxable income = Annual salary - Allowable tax deductions
Taxable income = $91,520 - $7,300
Taxable income = $84,220
Therefore, his taxable income is $84,220.
Can someone please help me
A graph of A(x) and B(x) in the interval 0 ≤ x 100 on a cartesian coordinate is shown below.
The solution of A(x) = B(x) to the nearest integer is (35, 8).
What is an exponential function?In Mathematics, an exponential function can be represented or modeled by using the following mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represent the base value, vertical intercept, or y-intercept.b represent the slope or rate of change.x represent time.Based on the information provided about the two plans for speeding up its technical support time, we can logically deduce the following exponential functions;
[tex]A(x) = 15.7(0.98)^x \\\\B(x) = 11(0.99)^{x}[/tex]
By critically observing the graph of the two exponential functions, we can logically deduce that the point of intersection (solution) is in quadrant I, which is given by the ordered pair (35, 8).
Read more on exponential functions here: https://brainly.com/question/30241796
#SPJ1
Let f (x) = x²e² the value of = lim [ƒ (x)]* i 1-lim is: 4x-
a)
b) 1
c) 0
d) 1 4e
Answer:
d) 1/(4e)
Step-by-step explanation:
You want the value of the limit of 1/4f(x)^(1/x) as x approaches -1, where f(x) = x^2·e^(x^2).
LimitThe function is continuous and defined at x=-1, so the limit can be evaluated directly.
[tex]\lim=\dfrac{1}{4}((-1)^2\cdot e^{(-1)^2})^{(1/-1)}=\dfrac{1}{4}(1\cdot e^1)^{-1}=\boxed{\dfrac{1}{4e}}[/tex]
Which economic system has no government involvement in the market? a. capitalism b. communism c. socialism d. No economic system is free from government involvement. Please select the best answer from the choices provided A B C D Mark this and return
Answer: D is correct.
Step-by-step explanation:
The economic system that has no government involvement in the market is d. No economic system is free from government involvement.
In reality, there is no government intervention because at some point the government will comes in , this could actually be minimal, only in the free market is where there is no government intervention.
It should be noted that in this free market, there is an unregulated system of economic exchange, where the act of taxes collection as well as quality controls, has no economic interventions which can be attributed to the government. Because of this, option D is correct.
I hope this helped! Brainilist is highly appreciated! <333
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of 1.7 ft³ per minute. If the tank starts completely full, how many minutes will it take to empty the tank? Use the value 3.14 for pi, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
4 minutes
Step-by-step explanation:
You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)
VolumeThe volume of a cylinder can be found using the formula ...
V = (π/4)d²h . . . . . . . diameter d, height h
Then the volume of the oil tank is ...
V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³
TimeThe time it takes to empty the tank is found by dividing the volume by the rate:
(7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min
It will take about 4 minutes to empty the tank.
<95141404393>
Use distributive property to evaluate 4(2x-1) when x=6.
The answer is 44.
What is unitary method?
"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
4*(12-1)
44
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ1
The function c(t) = 54 (1.12) models the cost in dollars, c, of 1 ounce of insulin, the input, t,
represents the number of years since 2010.
a. Does the cost of insulin increase or decrease over time, and by what percentage per year
does it do so?
b.
How much does an ounce of insulin cost in 2018? Show your reasoning.
How much would an ounce of insulin have cost in 2006? Show your reasoning.
Therefore, we cannot calculate the cost of an ounce of insulin in 2006 using this function. (a). the cost of insulin increases by 12% per year.
(b).Therefore, an ounce of insulin would have cost approximately $114.08 in 2018.
(c).Therefore, the cost of insulin increases by 12% per year.
What is function?
a function is a relationship between two sets of objects, where each object in the first set (called the domain) is associated with exactly one object in the second set (called the range). The domain and range can be any set, including numbers, geometric shapes, or other mathematical objects.
A function is typically represented by a rule or formula that describes how to map each element in the domain to an element in the range. For example, the function f(x) = 2x maps each value of x to its double, so that f(1) = 2, f(2) = 4, f(3) = 6, and so on.
The cost of insulin increases over time because the value of 1.12 is greater than 1, meaning the function's output grows with increasing t. To find the percentage increase per year, we can calculate the difference in cost between two consecutive years and divide it by the cost of the earlier year. For example, to find the percentage increase between 2010 and 2011:
[tex]c(1) - c(0) = 54(1.12) - 54 = 6.48[/tex]
Percentage increase = (6.48/54) x 100% = 12%
Therefore, the cost of insulin increases by 12% per year.
b. To find the cost of an ounce of insulin in 2018, we need to find the value of t for that year. Since t represents the number of years since 2010, we can subtract 2010 from 2018 to get:
[tex]t = 2018 - 2010 = 8[/tex]
[tex]c(8) = 54(1.12)^8 =$114.08[/tex]
Therefore, an ounce of insulin would have cost approximately $114.08 in 2018.
c. To find the cost of an ounce of insulin in 2006, we need to find the value of t for that year. Since t represents the number of years since 2010, we can subtract 2010 from 2006 to get:
[tex]t = 2006 - 2010 = -4[/tex]
However, a negative value of t is not meaningful in this context because the function assumes t represents the number of years since 2010. Therefore, we cannot calculate the cost of an ounce of insulin in 2006 using this function.
To know more about function visit:
https://brainly.com/question/21145944
#SPJ1
When John waters, his plants each day he keeps track of how many liters he uses. He measures in 1/8 liter amounts, and never uses more than 1 L the amount he uses each day varies, but he figures that if all the amounts work evened out he uses 1/2 L a day how did John decide this?
Please help with this answer, I will give brainliest to whoever answers correctly.
Answer:
2cos(3ẞ/2)(sin(7ẞ/2) + cos(19ẞ/2))
Step-by-step explanation:
We can use the identity for the sum of two sines to rewrite the expression as follows
sin 4ẞ + sin 10ẞ = 2sin(7ẞ/2)cos(3ẞ/2)
Similarly, we can use the identity for the sum of two cosines to rewrite the expression as follows
22ẞ + sin 16ẞ = 2cos(19ẞ/2)cos(3ẞ/2)
Therefore, we have
sin 4ẞ + sin 10ẞ + 22ẞ + sin 16ẞ = 2sin(7ẞ/2)cos(3ẞ/2) + 2cos(19ẞ/2)cos(3ẞ/2)
Factoring out the common factor of cos(3ẞ/2), we get
sin 4ẞ + sin 10ẞ + 22ẞ + sin 16ẞ = 2cos(3ẞ/2)(sin(7ẞ/2) + cos(19ẞ/2))
Therefore, the expression can be expressed as a product of 2cos(3ẞ/2) and the sum of sin(7ẞ/2) and cos(19ẞ/2).
Precision Aviation had a profit margin of 8.50%, a total assets turnover of 1.5, and an equity multiplier of 1.8. What was the firm's ROE?
Answer:
Step-by-step explanation:
We can use the DuPont model to calculate the ROE (Return on Equity):
ROE = Profit margin * Total assets turnover * Equity multiplier
Substituting the given values, we get:
ROE = 0.085 * 1.5 * 1.8 = 0.2295 or 22.95%
Therefore, Precision Aviation's ROE was 22.95%.
Find the surface area of each of the following right prisms using the formula SA=LA+2B
Find the area of a circle with diameter = 16 units.
Answer: ;)
The area of a circle is 64 square units
Step-by-step explanation:
Area of a circle a=64 square units in terms of
Step-by-step explanation:
Given that the diameter of a circle is 16
That is d=16
Therefore radius r=8
Now to find the area of a circle :Area of a circle square units
Substitute r=8 we get
Area of a circle
Therefore the area of a cicle is 64 square units
Area of a circle a=64 square units in terms of
Jenny made $144 for 9 hours of work.
At the same rate, how much would she make for 12 hours of work?
Answer:
Step-by-step explanation:
the answer is 192
9hrs=$144
12hrs=X
you cross multiple
12x144/9
which give you $192
Answer:
Jenny made $144 for 9 hours of work so you divide 144 by 9 and you get 16.
$16 is the amount of money that Jenny makes in an hour. To check if it's correct you multiply 16 by 9 and you should get 144.
So, since the question wants you to find how much she makes for 12 hours of work, you multiply 16 times 12 and you should get 192.
In conclusion, Jenny makes $192 for 12 hours of work.
4 (7x +5)
Please show me how to work this out
Answer:
28x + 20
Step-by-step explanation:
you just need to distribute
4(7x + 5)
you multiply 4 X 7x which would give you 28 and because 7 has a variable and 4 doesn't have a variable the x stays there so it would be 28x.
45, you need to multiply 4 x 5 which would give you 20, and because neither 4 or 5 have a variable it will stay 20
So now you just 28x with 20
28x + 20.
matt mopped 1/40 of the floor every 1/4 hour.The area of the floor was 3,000 square feet.what is the unit rate in square feet per hour.which represents matt mopping the floor
Answer:
75 square feet
Step-by-step explanation:
you will just multiply by 1 over 40 as it is the ratio that he works in one hour
pls help fast!!! Find the equation of a line parallel to y=−3x−5that passes through the point (2,−1).
Thus, the equation of a parallel line with the slope -3 and passing point (2,−1) is found as : y = -3x + 5.
Explain about the parallel lines?Two or more lines that have been spaced the same apart, never merging but never diverging, are said to be parallel. Parallel lines run indefinitely in both directions because, as we mentioned earlier, lines are non-stop.
As long as they are consistently spaced at the same distance apart, they don't necessarily need to be straight lines.
equation of a line : y = −3x−5
Comparing with slope-intercept form of line.
y = mx + c
m is the slope and c is the y intercept.
m = -3
Parallel lines have the same slopes:
m = -3 and passing points (2,−1).
Using the point -slope equation:
y - y 1 = m(x - x1)
y + 1 = -3(x - 2)
y = -3x + 6 - 1
y = -3x + 5
Thus, the equation of a parallel line with the slope -3 and passing point (2,−1) is found as : y = -3x + 5.
Know more about the parallel lines,
https://brainly.com/question/4954460
#SPJ1
Complete question:
Find the equation of a line parallel to y=−3x−5that passes through the point (2,−1).
I need help with this please
From the calculation that we have in the question, the volume of the rectangular prism is 30 cm^3.
How do you find the volume of a rectangular prism?A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional shape that has six rectangular faces, where each pair of opposite faces are congruent and parallel. It can be thought of as a stretched cube, where the length, width, and height are all different.
We have that the volume of the rectangular prism is
V = lbh
V = 2 * 3 * 5
V = 30 cm^3
Learn more about rectangular prism:https://brainly.com/question/21308574
#SPJ1
Kyra and some friends go to a climbing gym. She records how high each person climbed.
Answer:
what type of a question is this man can send me the full question so i can answer to you??
Answer: 12 1/2
Step-by-step explanation:
thats the answer
When 3x^2+18x–21=0 is written in the form (x–p)^2=q, what is the value of q?
The value of q is 16.
What is a quadratic equation?
Any equation can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation. An equation containing a single variable of degree 2.
Here, we have
Given: Equation: 3x²+18x–21 = 0 is written in the form (x–p)²=q.
We have to find the value of q.
3x²+18x–21 = 0
3(x²+6x-7) = 0
x²+6x-7 = 0
(x+3)²-7-9 = 0
(x+3)² - 16 = 0
(x+3)² = 16
(x-p)² = q
Hence, the value of q is 16.
To learn more about the quadratic equation from the given link
https://brainly.com/question/30951539
#SPJ1
Just 11 and 13 it’s simplifying linear Expressions
Based on the given task content; the solution to the linear expressions 4(2b + 2) - 3 and -4 + 8p - 6p - 5 + 20p is 8b + 5 and -9 + 22p respectively.
How to simplify linear expressions?11. 4(2b + 2) - 3
open parenthesis
= 8b + 8 - 3
= 8b + 5
12. -4 + 8p - 6p - 5 + 20p
combine like terms
-4 - 5 + 8p - 6p + 20p
= -9 + 22p
In conclusion, 8b + 5 and -9 + 22p is the solution to the linear expressions 4(2b + 2) - 3 and -4 + 8p - 6p - 5 + 20p respectively.
Read more on linear expressions:
https://brainly.com/question/2030026
#SPJ1
5 by 5 grid y=3-1/2x
Answer:
46_ parce que c'est comme ça
How do I show a parallelogram that is not a rectangle with an area of 18 square units( the smallest square on the grid has an area of 1 square unit)
Use the following financial information to find the entry you would make on an income statement for INCOME BEFORE TAXES for the year ended December 31, 2011: Gross Sales, $223,000; Sales Returns and Allowances, $11,200; Sales Discounts, $1,800; Merchandise Inventory, January 1, 2011, $67,600; Merchandise Inventory, December 31, 2011, $78,300; Net Purchases, $84,000; Freight In, $950; Salaries, $107,200; Rent, $19,500; Utilities, $1,450; Insurance, $2,150; and Income Tax, $14,900.
INCOME BEFORE TAXES for the year ended December 31, 2011 is $669.
how to find gross profit ?Gross Profit = Gross Sales - Sales Returns and Allowances - Sales Discounts - Cost of Goods Sold
Cost of Goods Sold = Beginning Inventory + Net Purchases + Freight In - Ending Inventory
Cost of Goods Sold = $67,600 + $84,000 + $950 - $78,300 = $74,250
Gross Profit = $223,000 - $11,200 - $1,800 - $74,250 = $135,750
Operating Expenses = Salaries + Rent + Utilities + Insurance = $107,200 + $19,500 + $1,450 + $2,150 = $130,300
Income Before Taxes = Gross Profit - Operating Expenses - Income Tax
Income Before Taxes = $135,750 - $130,300 - $14,900 = $669
Therefore, the entry for INCOME BEFORE TAXES for the year ended December 31, 2011 is $669.
know more about profit visit :
https://brainly.com/question/15036999
#SPJ1
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108[/tex]
Can you solve this quesiton?
f'(x)=?
By simplifying the derivative of f(x) is:,[tex]f'(x) = [10xsin(x)cos(x)(2sin(x) - cos(x)) - 10(x^2 + 2)sin^3(x) + 15(x^2 + 2)cos^3(x) + 20(x^2 + 2)sin^ 2 (x)cos(x)]/(sin(x)(2sin(x) - cos(x))^2 )[/tex]
What is derivative?A derivative is a mathematical cοncept that represents the rate at which a functiοn changes with respect tο οne οf its variables. In οther wοrds, the derivative measures hοw much the οutput οf a functiοn changes when yοu change the input by a small amοunt.
Tο find the derivative οf f(x), we will use the quοtient rule οf differentiatiοn.
Let's begin by simplifying the expression:
[tex]f(x) = [5(x^2 + 2) cot(x)]/[2 - cos(x) csc(x)][/tex]
[tex]f(x) = [5(x^2 + 2) cos(x)/sin(x)]/[2sin(x) - cos(x)][/tex]
[tex]f(x) = [5(x^2 + 2) cos(x)]/[sin(x)(2sin(x) - cos(x))][/tex]
Now we can apply the quotient rule:
[tex]f'(x) = [(5(x^2 + 2) cos(x))'sin(x)(2sin(x) - cos(x)) - (5(x^2 + 2) cos(x))(sin(x)(2sin(x) - cos(x)))']/(sin(x)(2sin(x) - cos(x))^2)[/tex]
To simplify, let's find the derivatives of the individual terms in the numerator:
[tex][(5(x^2+ 2) cos(x))'] = 10xcos(x) - 5(x^2+ 2)sin(x)[/tex]
[tex][(sin(x)(2sin(x) - cos(x)))'] = 3cos^2 (x) - 4sin^2(x)[/tex]
Now we can substitute these back into our original equation for f'(x):
[tex]f'(x) = [(10xcos(x) - 5(x^2 + 2)sin(x))sin(x)(2sin(x) - cos(x)) - (5(x^2 + 2) cos(x))(3cos^2(x) - 4sin^2 x))]/(sin(x)(2sin(x) - cos(x))^2)[/tex]
Simplifying further:
[tex]f'(x) = [10xsin(x)cos(x)(2sin(x) - cos(x)) - 5(x^2 + 2)sin^2 (x)(2sin(x) - cos(x)) - 15(x^2 + 2)cos^3(x) + 20(x^2 + 2)sin^2x)cos(x)]/(sin(x)(2sin(x) - cos(x))^2)[/tex]
[tex]f'(x) = [10xsin(x)cos(x)(2sin(x) - cos(x)) - 10(x^2 + 2)sin^3(x) + 15(x^2 + 2)cos^3(x) + 20(x^2+ 2)sin^ 2(x)cos(x)]/(sin(x)(2sin(x) - cos(x))^2)[/tex]
Therefore, the derivative of f(x) is:
[tex]f'(x) = [10xsin(x)cos(x)(2sin(x) - cos(x)) - 10(x^2 + 2)sin^3(x) + 15(x^2 + 2)cos^3(x) + 20(x^2 + 2)sin^2(x)cos(x)]/(sin(x)(2sin(x) - cos(x))^2)[/tex]
To know more about derivatives visit:
brainly.com/question/14295614
#SPJ1
a tourist bought a statue at a discount of 20% with 13% VAT and got Rs 416 back for VAT airport, what was the labeled price of the statue ?
Let the labeled price be 100x
20% discount, sale price = 80x
13% of 80x = 13x*4/5= 52x/5 = 10.4x
10.4x = 416
100x = ?
100/10.4 X416 = 41600/10.4 = Rs 4, 000 ANSWER
Please help me solve this differential equation problem. Please show as many steps as you can.
(b) u₁e^λ₁t +u₂e^λ₂t (pI-A)⁻¹ f₀e^pt f for p ≠λ₁ orλ₂ as the coefficients can only be determined when the value of p is not equal to either of the eigenvalues λ₁ or λ₂.
What is eigen values?Eigenvalues are scalars associated with a linear transformation or a matrix. They can be used to determine the stability of the system and describe the behavior of the transformation.
In this case, the eigen values λ₁ and λ₂ are constants, and the solution to the differential equation y' + Ay = f₀e^pt can be solved by using the method of undetermined coefficients.
This method involves using a linear combination of the eigenvectors, which are associated with the eigenvalues λ₁ and λ₂.
The solution for this differential equation is then given by u₁e^λ₁t +u₂e^λ₂t (pI-A)⁻¹ f₀e^pt f for p ≠ λ₁ or λ₂.
This is because the coefficients can only be determined when the value of p is not equal to either of the eigenvalues λ₁ or λ₂. If p is equal to one of these eigenvalues, then the solution cannot be determined as the coefficients become indeterminate.
For more questions related to indeterminate
https://brainly.com/question/29412132
#SPJ1