Word Problem on Proportion.
\(\begin{gathered} C=15\text{ \% 0f D} \\ C\text{ = }\frac{15}{100}D \\ C=0.15D \end{gathered}\)The correct answer is C = 0.15D
The constant of proportionality of the equation is 0.15
b. The constant of proportionality being 0.15 implies that 0.15 of Lee's total sales of electronics gives Lee's commission.
To find D when C = $450.
We simply substitute 450 for C in the above equation,
\(\begin{gathered} C=0.15D \\ 450=\text{ 0.15D} \\ \text{Divide both sides by 0.15, we get} \\ \frac{450}{0.15}=D \\ \\ D=\frac{450}{0.15}=\text{ \$3000} \end{gathered}\)Lee needs to sell $3,000 worth of electronics to earn a commission of $450.
So, the correct answer is $450.
Pls help me here on this question
If A It is given that R = {(a, 1), (b, 2), (C, 3)}. Find the range and domain of R.
Answer:
the range of R =(1,2,3)
domain of R= (a,b,c)
at a bake sale, 3 out of 10 customers purchased a pack of cookies, 9 out of 24 customers purchased a slice or cake, 3 out of 8 customers purchased a brownie, and 1 out of 5 customers purchased a cupcake. which ratios are equivalent?
HELP PLEASE.
9514 1404 393
Answer:
9/24 and 3/8 are equivalent
Step-by-step explanation:
Ratios are reduced to lowest terms by dividing by any common factors the numbers may have. The ratios in lowest terms are ...
3/10 = 3/10
9/24 = 3/8 . . . . . 9 and 24 are divisible by 3
3/8 = 3/8
1/5 = 1/5
The ratios 9/24 and 3/8 are equivalent.
Question is down below
⬇️
Find the common difference.
-5/3, -1/6, 4/3, 17/6
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The common difference can be found as the difference of any two adjacent terms. It is convenient to choose terms with the same sign:
17/6 -4/3 = 17/6 -8/6 = 9/6 = 3/2
The common difference is 3/2.
Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin x = x
Answer:
\(x \approx 2.278863\)
Step-by-step explanation:
Required
The positive root of \(3\sin(x) = x\)
Equate to 0
\(0 = x -3\sin(x)\)
So, we have our function to be:
\(h(x) = x -3\sin(x)\)
Differentiate the above function:
\(h'(x) = 1 -3\cos(x)\)
Using Newton's method of approximation, we have:
\(x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}\)
Plot the graph of \(h(x) = x -3\sin(x)\) to get \(x_1\) --- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
\(x_1 = 2.2\)
So, we have:
\(x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}\)
\(x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}\)
\(x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641\)
The process will be repeated until the digit in the 6th decimal place remains unchanged
\(x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654\)
\(x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627\)
\(x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627\)
Hence:
\(x \approx 2.278863\)
URGENT HELP!!
Which pair of functions are inverse of each other?
Answer:
B
Step-by-step explanation:
so basically it's b since u gotta have the bracket after the f then equals to x - 4 and g(x) = x+4 over 11
Answer:
b
Step-by-step explanation:
f(x) = 11x-4
y = 11x-4
11x = y-4
x = y-4/11
since g(x) = x+4/11, then g(x) is the inverse of f(x)
PLEASE HELP FAST!! IT IS URGENT!! Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long. A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (n inches). Here are the results: 8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18 Are the conditions for cons tructing at confidence interval met?
O No, the random condition is not met.
O No, the 10% condition is not net.
O No, the Normal/large sanple condition is not met.
O Yes, the conditions for inference are met.
Answer:
No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.
If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?
6. The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent. :))))
Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.
Fixed costs: $34,000
Variable costs per widget: $5.00
Total costs = Fixed costs + (Variable costs per widget × Number of widgets)
Total costs = $34,000 + ($5.00 × 7,000)
Total costs = $34,000 + $35,000
Total costs = $69,000
Average cost per widget = Total costs / Number of widgets
Average cost per widget = $69,000 / 7,000
Average cost per widget ≈ $9.86
Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.
Step-by-step explanation: :)
8. A scale drawing of a rose is 3 inches long. The actual rose is 1.5 feet tong.
b. What is the scale factor of the drawing?
Answer: 2
Step-by-step explanation: 2x1.5=3
All of the following are rational except _____.
Answer:
19 is correct
Step-by-step explanation:
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph
Answer:
x = -5
Step-by-step explanation:
the answer is -5 sussy baka
This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.
Side note: The r value and slope are both negative, but they aren't equal to one another.
can someone please help me with this geometry problem
Answer:
31 in the perimeter
Step-by-step explanation:
What is the answer....................................................
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
what is the value of the underlined digit in the number 27,416,385. 4 is the underlined number.
The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.
How can the digits be known?The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23. however amount is represented by a number.
It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.
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What percentage of a dollar is: 2 dimes, 3 nickels, and 2 pennies? *
Answer:
37%
Step-by-step explanation:
2 dimes = 20 cents, or 20%
3 nickels = 15 cents, or 15%
2 pennies = 2 cents, or 2%
20+15+2 = 37
Choose the property for each
Answer:
w = 12
Step-by-step explanation:
Simplifying equation:To simplify the equation, we have to isolate 'w'. To isolate 'w',
Add 21 to both sides of the equation. Multiply both sides by 2.\(\dfrac{w}{2}-21=-15\\\\\\\dfrac{w}{2 }-21+21=-15+21 \ \text{\bf (Addition property of equality)}\\\)
\(\dfrac{w}{2}= 6\)
\(2*\dfrac{w}{2}=6*2 \ \text{\bf (Multiplication property of equality)}\\\\\\\)
w = 12
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
A person deposits Rs 10,000/- in a bank which offers an annual compounded interest of 9%. What is the amount he can receive after 3 years?
The amount received after 3 years is ₹12950.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)
Given that, principal = ₹10,000, rate of interest =9% and time period = 3 years.
Now, amount =10000(1+9/100)³
= 10000(1.09)³
= 10000×1.295
= ₹12950
Therefore, the amount is ₹12950.
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An equation is shown below.
4j=-22
Which number line best represents the solution to the equation?
Answer:
B second one
Step-by-step explanation:
5.5
Answer:last one
Step-by-step explanation:
4j=-22 divide
4. 4
J=-5.5
Which number is rational?
v2
pi
v10
v16
Answer:The square root of 16 is rational.
Step-by-step explanation:
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.
Use the Value 3.15 for pie.
Answer:
249.14 mm³
Step-by-step explanation:
r = diameter/2
= 7.8 /2
volume = 4/3 π r³
= 4/3 * 3.15 * (7.8/2)³
= 249.14 mm³
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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When the light turns green, John accelerates straight down the road at 1.8 m/s for 8 seconds. What is his final velocity at the end of those 8 seconds
Acceleration is the rate of change of velocity over time
His final velocity is 14.4 meters per second
How to determine the final velocityFrom the question, we have:
Initial velocity: u = 0 m/sTime = 8 secondsAcceleration = 1.8 m/s^2Using the first equation of motion, we have:
\(v = u + at\)
So, the equation becomes
\(v = 0 + 1.8 * 8\)
\(v =14.4\)
Hence, the final velocity is 14.4 meters per second
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f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.