Answer:
\(y=\dfrac{x^2-w}{2x}\)
Step-by-step explanation:
The given equation is :
w=x²-2yx
We need to find the value of y.
Subtract x² from both sides.
w-x²=x²-2yx-x²
w-x² = -2yx
Dividing both sides by -2x
\(\dfrac{w-x^2}{-2x}=\dfrac{-2yx}{-2x}\\\\y=\dfrac{w-x^2}{-2x}\\\\y=\dfrac{x^2-w}{2x}\)
So, the value of y is equal to \(\dfrac{x^2-w}{2x}\).
simplfiy 6-4[x-1-(y+3)]+5y
Answer:
−4x+9y+22
Step-by-step explanation:
How many square feet of outdoor carpet will we need for this hole?
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
There are 16 left-handed students in Ms. Tatum's class. The other 20 students in her class are right-handed.
What is the percentage of the class who are left-handed? Explain your answer.
Answer:
I'm pretty sure the answer is about 44%
Step-by-step explanation:
What is the distance from C to B
please help me
How much money is this eight pennies 3 dimes 6 nickels 4 Quarters
Answer: $1.68
Step-by-step explanation:
8 pennies = .08
3 dimes .10x3 = .3
6 nickels = .05x6 =.3
4 quarters = .25x4 =1
1+.3+.3+.08 =1.68 = $1.68
Solve the equation n + 75 = 155
Answer:
n = 80
Step-by-step explanation:
Just subtract 75 on both sides.
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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Help I need help I have 20 missing assignments
Answer:
142°
Step-by-step explanation:
Angles on a straight line add up to 180
180-38 = 142
Answer:
142
Step-by-step explanation:
x+38=180
x=180-38
x=142
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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For a given set of rectangles, the length is inversely proportional to the width. In one
of these rectangles, the length is 25 and the width is 3. For this set of rectangles,
calculate the width of a rectangle whose length is 5.
Answer:
Step-by-step explanation:
Answer:
The width is 8 units
Step-by-step explanation:
This is a variation problem we are to work with.
Length is inversely proportional to width, let length be l and width be w
modeling the statement mathematically, we have lw = k where k is the proportionality constant
Now let’s get k from l = 12 and w = 6
k = 12 * 6 = 72
Now for the second rectangle also;
lw = k given l = 9
9w = 72
w = 72/9
w = 8
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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* Given the following expressions:
I.
\( - \frac{5 }{8} + \frac{3}{5} \)
||.
\( \frac{1}{2} + \sqrt{2} \)
|||.
\(( \sqrt{5} ) \times ( \sqrt{5} )\)
IV.
\(3 \times ( \sqrt{49} )\)
Answer:
sorrry i forget you man ..... or bro .....
After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes the rotation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer: R0, 270°
Step-by-step explanation: i have the answers to all the quetions
on the quiz/ assignments you doing. i can send u the l i n k if u want.
Answer:
R0, 270 is the correct Answer!
Step-by-step explanation:
Hope this helps =)
Integrate the following. ∫\(84dx\)
Answer:
\(\displaystyle \int {84} \, dx = 84x + C\)
General Formulas and Concepts:
Calculus
Integration
IntegralsDefinite/Indefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \int {84} \, dx\)
Step 2: Integrate
[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {84} \, dx = 84\int {} \, dx\)[Integral] Reverse Power Rule: \(\displaystyle \int {84} \, dx = 84x + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integrations
The longest amount of time employees can work under Option A or Option B is 20 weeks. After employees
work 20 weeks, they can either quit or keep making the same amount they made during Week 20. If an
employee plans on quitting after 20 weeks, which payment option gives the greatest total income? Explain.
after the 6th week on the table, the pattern continues
The table and payment per week is below!
Answer:
Option A
Step-by-step explanation:
Option A is an arithmetic sequence.
Each week, the salary goes up by a fixed $50.
To verify this, subtract any two consecutive weeks' salaries.
For example: $250 - $200 = $50; $350 - $300 = $50, etc.
The common difference in 50.
We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.
The sum of an arithmetic sequence is given by the formula:
\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)
S_n = sum of first n terms
n = number of terms = 20
a_1 = first term = 200
d = common difference = 50
\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)
\( S_{20} = 10 \times [400 + 19(50)] \)
\( S_{20} = 10 \times [400 + 19(50)] \)
\( S_{20} = 13500 \)
Option A gives a total of $13,500 for the first 20 weeks.
Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.
For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.
We need the formula for the sum of the first n terms of a geometric sequence.
\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)
\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)
\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)
\( S_{20} = 11455 \)
Option B gives a total of $11,455 for the first 20 weeks.
Answer: Option A
Assume that a box contains 3 different of cowpea seeds, with three seeds weighing each, Il seeds weighing 0.81g each, 7 seeds weighing 12g each. What is the probability that a seed selected at random will weigh 0.8
Kiran’s backpack weights 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How many pounds does Kiran’s backpack weigh?
Answer: 11 lbs.
Step-by-step explanation: 14 - 3 = 11
A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for $12.00 per pound with a Organic Free Trade coffee blend that normally sells for $15.00 per pound to create 20 pounds of a coffee that can sell for $14.25 per pound. How many pounds of each kind of coffee should they mix?
The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of Kona coffee and y represent the amount of trade coffee, hence:
x + y = 20 (1)
Also:
12x + 15y = 20(14.25) (2)
From both equations:
x = 5, y = 15
The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.
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The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
Suppose the given confidence level is 85%, what is the corresponding z critical value?
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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What is the volume of the composite figure
Answer:
291
Step-by-step explanation:
2*2*2=8*2=16
16+(11*5*5)=291
Answer:
291cm^3
Step-by-step explanation:
11×5×5=275cm^3
2×2×2=8cm^3
8cm^3 + 8cm^3= 16cm^3
275+16=291cm^3
The table below shows information about the
heights of the trees in a park.
How many of the trees are more than 8 m tall
but not more than 16 m tall?
Height, h (m)
0
4
8
12
16
Frequency
4
7
12
5
2
Answer:
According to the table, there are **12** trees that are more than 8m tall but not more than 16m tall.
Source: (1) the table below shows the height of trees in a park. how many trees .... https://brainly.com/question/28952390 Accessed 16/03/2023.
This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
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two more than a number
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
Find mJKM
J= 3x
L=64
JKM=(5x+4)
The measure of angle JKM is 26°
What is exterior angle theorem?The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the opposite angles in the triangle.
Also the sum of angle in a triangle is 180°
Therefore ;
3x+64 = 5x+4
collecting like terms
5x -3x = 64-4
2x = 60
x = 60/2
x = 30
since x = 30
value of the exterior angle = 5x+4
= 5×30+4
= 150+4 = 154
therefore angle JKM = 180-( 154)
= 26°
Therefore the measure of angle JKM is 26°
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HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!
Answer:
so
Step-by-step explanation:
the first goes 3rd
the 2nd goes 1
3rd goes 4
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.