what is the solution to 0.5 (4x -10) = 2x +4
Answer:
No Solution
Step-by-step explanation:
0.5(4x-10)=2x
2x - 5 = 2x
-5 = 2x -2x
-5 = 0
No solution
Hope this helped
The original price of a dining table set is $400. The set is on sale for 40% off. What is the sale price of the set?
Answer: Your answer will be $240
Step-by-step explanation:
Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.
Answer:
C.
Step-by-step explanation:
Pi = circumference / diameter.
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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If � p and � q vary inversely and � p is 18 when � q is 28, determine � q when � p is equal to 72.
Answer:
q = 7Step-by-step explanation:
p and q vary inversely:
p = k/qIf p = 18, q = 28, find k:
18 = k/9k = 18*28 = 504The equation is:
p = 504/qWhen p = 72, q is:
18 = 504/qq = 504/72q = 7SOLVE FAST FAST FAST PLS <3
Answer:
25 degrees
Step-by-step explanation:
its a right angle so 90-65=25
Answer:
90 - 65 = 25°
Step-by-step explanation:
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Answer:
Rate of change = 18/√74
Step-by-step explanation:
The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v
Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;
∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)
So;
∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))
This gives;
∇g(1, 1, 2) = (3, 7, 4)
Now,
||∇g(1, 1, 2)|| = √(3² + 7² + 4²)
||∇g(1, 1, 2)|| = √74
Normal vector would be given by the formula;
v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]
Thus;
v = (3, 7, 4)/√74
Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)
Thus, rate of change is given by;
∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74
This gives;
Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74
HELP ME OUT
Using the digits 1 to 9 at most one time each fill in the boxes to make a whole number product
answer: x^9
x^7 * x^(8/4)= (x^3)(^6/2)
x^7 * x^2= x^3*3
x^9=x^9
exponents are added when there are variables associated with them, and are multiplied directly when like the right side
If UV = 6 and TV = 12, what is TU?
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
Factor the expression 26x + 13
does anyone have the keys for edmentum guided notes!!! please help
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
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What meaning of the statement this?
Note that the notation "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.
What is the explanation of this ?∪C : This represents the union (∪) of the sets in C.
{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.
It states that an element x belongs to the union of sets in C if and only if x belongs to at least one set S that is an element of the set C.
= ∪{ S:S ∈ C} : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.
In summary, the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.
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(-5/6) + (-2 5/8) equals?
Which of the hypothesis of Rolle's Theorem is not satisfied for the function f(x) = x^3/3 over [ 0, 2 ]?
Answer:
C. \(f(0)=f(2)\)
Step-by-step explanation:
Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.
The function is not differentiable over [0, 2]. Therefore, the option B is the correct answer.
What is the hypothesis of Rolle's theorem?Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.
The given function is f(x)=x³/3 over [0, 2].
Here, f(0)= 2 and f(2)=2. Hence, according to the Rolle's theorem there should be at least one x for which f'(x)=0.
Now, f'(x)= 3x²/3
0=3x²/3
3x²=0
x²=0
x=0
Therefore, the option B is the correct answer.
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Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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After working satisfactorily for 6 months, Collin will be eligible for a 7% raise. How much will Collin's
gross salary be, after her raise, for each 2-week pay period? His current gross salary is $1,083.34.
Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.
To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.
Collin's current gross salary is $1,083.34.
To find the raise amount, we multiply his current gross salary by 7% (or 0.07):
Raise amount = $1,083.34 \(\times\) 0.07
= $75.8338 (rounded to two decimal places)
Now, we add the raise amount to his current gross salary to find the new gross salary:
New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)
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14. Harold borrowed $9,000 for 5 years at an APR of 3.6%.
a. What is Harold's monthly payment? Round to the nearest cent. (Round your answer to the
nearest cent and use the rounded answer for further calculations)
b. What is the total amount that Harold paid in monthly payments for the loan?
c. What is the amount Harold will pay in finance charges?
3846
multiply it brp bb so multiply
Mr. Clark suspended 2 out of every 5 students in the 9th grade. If there are 200 total 9th grade students, how many were suspended?
Find the sun of the whole numbers from 1 to 880
Answer:
387,640
Step-by-step explanation:
hope this helps, braniest...
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
I need help with this problem, what is x for this problem
Answer:
(5x-5)°=90°
5x-5=90
5x=90+5
=95
x=95÷5
=19
angle BCD=19+12
=31°
The number of pairs of shoes owned by a sample of seven students are given below. Match the measure to its value.
3, 3, 5, 9, 12, 13, 15
1. range
2. variance
3. standard deviation
12
5
25
According to the solving the given data the values of :
Range = 12
Variance= 25
Standard deviation= 5
What does "variance in statistics" mean?Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value. Finding the predicted difference between the deviation from the actual value and the variation.
What do you mean by range?In statistics, range is the distinction between the most and least values in a set. Mathematics' interval, also known as range, is a collection of real numbers that contains all values that fall between any two other values.
According to the given data:Given data: 3, 3, 5, 9, 12, 13, 15
Range = Highest value - lowest value
= 15 - 3
= 12
Mean of the given data:
xi = 3, 3, 5, 9, 12, 13, 15
n = 7
S² = ∑(xi - x)²/(n - 1)
= (30.25 + 30.25 + .25+ 12.25 + 20.25 + 42.25 + 12.25)/6
= 147.75/6
= 24.6
= 25
Finding the standard deviation:
√S² = 25
S = 5
According to the solving the given data the values of :
Range = 12
Variance= 25
Standard deviation= 5
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#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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Y
P
Q
S
R
Part A
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle PQR'S' (not shown). What are the coordinates of point R?
0 (-7,6)
O (7,6)
• (-6,7)
O (6,7)
Part B
Answer:
The coordinates of point R are (7,6), second option
Step-by-step explanation:
Coordinates of point R:
The coordinates of point R are , so (6,-7).
90° counterclockwise rule:
The rule for a rotation of 90º counterclockwise is given by:
(x,y) -> (-y,x)
What are the coordinates of point R?
(6,-7) -> (-(-7),6) = (7,6).
The coordinates of point R are (7,6), second option
How many solutions does this equation have?
-12g + 9 = 2q - 6-15q
no solution
one solution
or
infinitely many solutions
To determine the number of solutions for the given equation -12g + 9 = 2q - 6-15q, we can simplify it by grouping the q and g terms together and simplifying the constants:
-12g -15q = -15
Now, we can see that this is a linear equation in two variables. When such an equation is in this form, it can either have one unique solution, no solution, or infinitely many solutions, depending on the values of the coefficients.
We can solve for one variable in terms of the other and see if any constraints come up. So, we will solve for q in terms of g:
-12g -15q = -15 => 5q = -12g - 15 => q = (-12/5)g - 3
Since we have one variable in terms of another, substituting the above value of q in the original equation we get:
-12g + 9 = 2q - 6-15q => -12g + 9 = 2[(-12/5)g - 3] - 6-15[(-12/5)g - 3] => -12g + 9 = (-24/5)g + 24 => (-60/5)g = -15 => g = 1/4
Now, we can substitute the value of g in either of the two equation and get the value of q:
q = (-12/5)(1/4) - 3
=> q = -39/20
Therefore, the given equation has exactly one unique solution, namely (g,q) = (1/4,-39/20). Thus the answer is "one solution".
What’s 0.0625 rounded to the nearest tenth
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
The calculation of this can be done by first determining the future value of the monthly payments of $327.50
The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,
which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.
The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35
This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.
Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.
for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).
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Evaluate 2/3 + 1/3 + 1/6 + …
Answer:
7/6
Step-by-step explanation:
The LCD of these three fractions is 6; the denominators 3, 3 and 6 divide evenly into 6.
Therefore we have:
4/6 + 2/6 + 1/6 = 7/6
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.