Answers
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
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Related Questions
Write the numeral in base ten. 7,001eight
Answers
The numeral 7,001 eight is equal to 3585 in base ten.
To convert the numeral 7,001 in base eight to base ten, we need to multiply each digit by the corresponding power of eight and sum them up.
Starting from the rightmost digit, we have:
[tex]1 * 8^0 = 1\\0 * 8^1 = 0\\0 * 8^2 = 0\\7 * 8^3 = 3584[/tex]
Adding these values together, we get:
1 + 0 + 0 + 3584 = 3585
Therefore, the numeral 7,001eight is equal to 3585 in base ten.
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Determine the equation of the circle graphed below 100pts
Answers
Answer:
[tex](x +5)^2+(y-1)^2=25[/tex]
Step-by-step explanation:
To determine the equation of the graphed circle, we need to find the coordinates of its center and the length of its radius.
The center of the circle is a single point that lies at an equal distance from all points on the circumference of the circle.
From inspection of the graphed circle, we can see that its domain is [-10, 0] and its range is [-4, 6]. The x-coordinate of the center is the midpoint of the domain, and the y-coordinate of the center is the midpoint of the range.
[tex]x_{\sf center}=\dfrac{-10+0}{2}=-5[/tex]
[tex]y_{\sf center}=\dfrac{-4+6}{2}=1[/tex]
Therefore, the center of the circle is (-5, 1).
The radius of the circle is the distance from the center to all points on the circumference of the circle. Therefore, to calculate the length of the radius, find the distance between x-coordinate of the center and one of the endpoints of the domain.
[tex]r=0-(-5)=5[/tex]
Therefore, the radius of the circle is r = 5.
To determine the equation of the circle, substitute the center and radius into the standard formula.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]
As h = -5, k = 1 and r = 5, then:
[tex](x - (-5)^2+(y-1)^2=5^2[/tex]
[tex](x +5)^2+(y-1)^2=25[/tex]
Therefore, the equation of the graphed circle is:
[tex]\boxed{(x +5)^2+(y-1)^2=25}[/tex]
NO LINKS!! URGENT HELP PLEASE!!
Please help with 21
Answers
Answer:
34.45%
Step-by-step explanation:
A tree diagram shows all possible outcomes of two or more events.
Each branch is a possible outcome and is labelled with the probability of that outcome.
Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.
Draw the next set of branches to represent the second event (side). Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.
We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, to find the probability of each combination of events, multiply along the branches.
Sandwich and chips = 35% × 47% = 16.45%
Sandwich and veggies with hummus = 35% × 53% = 18.55%
Slice of pizza and chips = 65% × 47% = 30.55%
Slice of pizza and veggies with hummus = 65% × 53% = 34.45%
Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
The probability that Sophie selects a slice of pizza and veggies is 34.45%.
Calculating the probability of pizza and veggiesFrom the question, we have the following parameters that can be used in our computation:
Sandwich = 35%Chips = 47%Veggies with hummus = 53%Pizza = 65%The probability of pizza and veggies is calculated as
P = Pizza * Veggies
Substitute the known values in the above equation, so, we have the following representation
P = 65% * 53%
Evaluate
P = 34.45%
Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
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Two mechanics worked on a car. The first mechanic charged $75
per hour, and the second mechanic charged $95
per hour. The mechanics worked for a combined total of 20
hours, and together they charged a total of $1800
. How long did each mechanic work?
Answers
The first mechanic worked for 12 hours, and the second mechanic worked for 8 hours.
Let's assume the first mechanic worked for x hours. Since the first mechanic charged $75 per hour, their earnings can be represented as 75x dollars.
Similarly, the second mechanic worked for (20 - x) hours, and at a rate of $95 per hour, their earnings can be represented as 95(20 - x) dollars.
According to the problem, the combined earnings of both mechanics are $1800. Therefore, we can write the equation:
75x + 95(20 - x) = 1800
Simplifying this equation, we get:
75x + 1900 - 95x = 1800
-20x = -100
x = 5
Substituting x back into the equation, we find that the first mechanic worked for 5 hours, and the second mechanic worked for (20 - 5) = 15 hours.
Therefore, the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours.
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Select the correct text.
Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a new cell phone, she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new cell phone, 74 is the amount of money she has now, 40 is the amount of money she saves each month for the phone, and x represents the number of months since she started saving a regular amount:
74 + 40x = y.
She then solved the equation to determine how many months she’d need to save to have enough to purchase the new cell phone. Review her work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1: 74 + 40x = y
Step 2: 74 + 40x − 74 = y − 74
Step 3: 40x = y − 74
Step 4:
=
Step 5: x =
Step 6: x =
Step 7: x = 19
Answers
Step 4:
This step is missing an operation. It should specify that the right-hand side should be multiplied by 40, just like the left-hand side:
40x = 40(y - 74)
Therefore, the correct step 4 should be:
40x = 40y - 296
The error is that the multiplication of 40 is not applied to both terms on the right-hand side.
taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function A(t) = 525(1+0.05) represents the amount of money in the account after t years. how much money did taber originally invest?
Answers
NO LINKS!! URGENT HELP PLEASE!!
Find the value of x
Answers
Answer:
x = 4
Step-by-step explanation:
You want the value of x in the figure of a circle with intersecting secants.
Secant relationThe product of lengths from the near and far circle intercepts to the point where the secants intersect is the same for both secants:
6(6+10) = 8(8+x)
6·16 = 8·(8+x)
12 = 8 +x . . . . . . . divide by 8
4 = x . . . . . . . . . . subtract 8
The length x is 4 units.
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What is the graph of the solution to the following compound inequality?
3-x22 or 4x+2210
O A.
B.
O c.
O D.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
H
He
+++
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
5 6 7 8 9 10
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
4
€1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
5 6 7 8 9 10
3 4 5 6 7 8 9 10
Answers
Answer:
Step-by-step explanation:
To graph the solution to the compound inequality 3 - x < 22 or 4x + 2 > 10, we need to graph the individual inequalities and find the overlapping region.
First, let's graph the inequality 3 - x < 22:
Subtract 3 from both sides to isolate x:
-x < 19
Multiply both sides by -1, which reverses the inequality direction:
x > -19
This means that x is greater than -19, but not including -19. So, we will have an open circle at -19 and shade everything to the right of it.
Next, let's graph the inequality 4x + 2 > 10:
Subtract 2 from both sides to isolate 4x:
4x > 8
Divide both sides by 4:
x > 2
This means that x is greater than 2, but not including 2. So, we will have an open circle at 2 and shade everything to the right of it.
Combining the two inequalities, we need to find the overlapping region. Since both inequalities have an open circle at their endpoint, we will use a dashed line to represent them.
The graph should look like this:
markdown
Copy code
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
+ +
| |
| |
+---------------------------------|-------------------->
-19 2
The shaded region will be to the right of -19 and to the right of 2, including all numbers greater than those values.
Therefore, the correct answer is:
O A. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
The graph below shows the solution to which system of inequalities?
O A. x< 1 and yz x
OB. ys 1 and y> x
O C. x≤ 1 and y> x
OD. y< 1 and yz x
6
Answers
The system of inequalities shown in this problem is defined as follows:
d) y < 1 and y ≥ x.
How to obtain the system of inequalities?The line in the image has an intercept of zero and slope of 1, hence it is given as follows:
y = x.
Points above the solid line are plotted, hence the first condition is:
y ≥ x.
The upper bound, represented by the dashed horizontal line, is y = 1, hence the second condition is:
y < 1.
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
Answers
The linear inequality represented by the graph is y < 3x + 2. Option A.
To determine the linear inequality represented by the graph, let's analyze the given information and the slope-intercept form of a linear equation (y = mx + b), where m represents the slope and b represents the y-intercept.
We are given two points on the line: (-3, -7) and (0, 2). Using these points, we can calculate the slope (m) as follows:
m = (y2 - y1) / (x2 - x1)
= (2 - (-7)) / (0 - (-3))
= 9 / 3
= 3
Therefore, the slope of the line is 3.
Next, we can substitute the slope and one of the given points into the slope-intercept form to find the y-intercept (b). Let's use the point (0, 2):
y = mx + b
2 = 3(0) + b
2 = b
So, the y-intercept (b) is 2.
Now we have the equation of the line: y = 3x + 2.
The shaded region is to the left of the line. To express this region as an inequality, we need to find the inequality symbol. Since everything to the left of the line is shaded, we need the inequality to represent values less than the line.
Therefore, the correct inequality is y < 3x + 2.
Hence, the linear inequality represented by the graph is y < 3x + 2. So Option A is correct.
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Note the complete question is
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
A.) y < 3x + 2
B.) y > 3x + 2
C.) y < 1/3x + 2
D.) y > 1/3x + 2
Solve b + 6 < 14.
Write your answer in set builder notation
Answers
b + 6 - 6 < 14 - 6
This simplifies to:
b < 8
Therefore, the solution to the inequality is the set of all numbers b that are less than 8.
In set builder notation, we can represent this solution as:
{ b | b < 8 }
Use the following models to show the equivalence of the fractions 35 and 610 a) Set model
Answers
Answer:
0
Step-by-step explanation:
Use the following models to show the equivalence of the fractions 35 and 610 a) Set model
15) Find one positive and one negative coterminal angle to 87°
Answers
To find a negative coterminal angle, we can subtract multiples of 360°. Subtracting 360° from 87° gives us -273°, which is a negative coterminal angle.
The table shows the daily high temperature (°F) and the number of hot chocolates sold at a coffee shop for eight randomly selected days.
Answers
The line of best fit for the data in this problem is given as follows:
y = -0.5x + 60.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.Two points on the scatter plot are given as follows:
(30, 45) and (60, 30).
When x increases by 30, y decays by 15, hence the slope m is given as follows:
m = -15/30
m = -0.5.
Hence:
y = -0.5x + b.
When x = 30, y = 45, hence the intercept b is obtained as follows:
45 = -15 + b
b = 60.
Thus the function is given as follows:
y = -0.5x + 60.
Missing InformationThe data is given by the image presented at the end of the answer, and the problem asks for the line of best fit for the data.
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When five times a number is decreased by 8, the result is 37. What is the number?
Answers
Answer:
5n - 8 = 37
5n = 45
n = 9
The number is 9.
the image is the question
a) c = 22 feet
b) c = 23
c) c = 24
d) c = 30
Answers
The length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."
The Pythagorean theorem, which asserts that given a right triangle, the sum of the squares of the two shorter sides (a and b), is equal to the square of the hypotenuse (c), can be used to determine the length of the triangle's hypotenuse (c).
a = 10 feet
b = 20 feet
Using the Pythagorean theorem, we can calculate c as follows:
c^2 = a^2 + b^2
c^2 = 10^2 + 20^2
c^2 = 100 + 400
c^2 = 500
To find c, we take the square root of both sides:
c = √500
c ≈ 22.36
Rounding the answer to the nearest whole number, we get c ≈ 22.
Therefore, the length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."
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A requested task is subject to be reported when:
Answers
Answer:
A requested task is subject to be reported when it has been completed according to the instructions provided.
To demonstrate this with chain of thought reasoning:
1. The task requested will have details outlining what needs to be done.
2. To fulfill the request of the task, the instructions outlined must be followed.
3. Once all instructions are met, the task is complete.
4. Completion of the task means it is subject to be reported.
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to
OA. 5 (¹
OB.
5 (x¹ - 4x² + 3)
2¹-4²+3
O c. 24
O D. 2¹-2²+3
4x² + 3
1
+3²? Assume that the denominator does not equal zero.
Answers
Answer:
B
Step-by-step explanation:
[tex]\frac{x^6-4x^4+3x^2}{5x^2}[/tex]
factor out the common factor of x² from each term on the numerator
= [tex]\frac{x^2(x^4-4x^2+3)}{5x^2}[/tex] ( cancel x² on numerator/ denominator )
= [tex]\frac{x^4-4x^2+3}{5}[/tex]
Reynold’s company has a product with fixed costs of $334,000, a unit selling price of $22, and unit variable costs of $19. The break-even sales (units) if the variable costs are decreased by $4 is
Answers
The break-even sales (units) when the variable costs are decreased by $4 is approximately 47,714 units.
To find the break-even sales (units) when the variable costs are decreased by $4, we need to calculate the new unit variable costs and then use the break-even formula.
Fixed costs (F) = $334,000
Unit selling price (P) = $22
Unit variable costs (V) = $19
Change in unit variable costs = $4
New unit variable costs (V') = V - Change in unit variable costs
= $19 - $4
= $15
Now, let's calculate the break-even sales (units) using the formula:
Break-even sales (units) = Fixed costs / (Unit selling price - Unit variable costs)
Break-even sales (units) = $334,000 / ($22 - $15)
= $334,000 / $7
= 47,714.29
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AB=BC
A
60°
ODC
D
AB
374
B
The longest segment shown is
BC
C
Answers
Note that the longest segment in the shapes shown is DC (Option B).
How is this so?The longest side of a triangle is opposite to greatest angle.
To determine the longest side in a triangle, compare the lengths of all three sides. The side with the greatest length is the longest side.
You can use a ruler or a measuring tool to measure the lengths of the sides or compare the numerical values if they are provided.
In this case,
∠A = ∠DBA = 60°
So ∠ ABD is an equilateral triangle.
So, AB = BD = AD
Since
AB = BC
Then
∠BDC = ∠C ∠ 38°
so ∠DBC > 90°
This means that DC is the longest side.
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For which values is this expression undefined?
Answers
Answer:
x=3
Step-by-step explanation:
You can get the answer by substituting the value of x in the equations, your aim is to find a number that will make both equations equal zero.
what is the number of births in year 5?
Answers
Answer:
Step-by-step explanation:
And that is actually the case, as
816/2=408
408/2=204
204/2=102
Now, we are looking for 102/2=?
Solution: 51
7. What is the slope of a line that is perpendicular to the line represented by the equation y=-2/5x+4/5
5
5/4
2/5
5/2
Answers
Answer: the correct answer is 5/2
Step-by-step explanation:
To find the slope of a line perpendicular to a given line, we can use the property that the product of the slopes of two perpendicular lines is equal to -1.
The given line has an equation of y = -2/5x + 4/5.
The slope of this line can be determined by comparing it to the slope-intercept form (y = mx + b), where "m" represents the slope. In this case, the slope of the given line is -2/5.
To find the slope of the line perpendicular to this line, we take the negative reciprocal of the given slope. The negative reciprocal of -2/5 is 5/2.
y'=y +8z +e^x
x'=2y+z+e^-3x
Answers
Answer:
I have not comed across this question before
Need help solving the problem, please.
Answers
The equation y = -6x + 2 (option c) is parallel to the graph of y = -6x + 3.
Which of the given lines is parallel to y = -6x + 3?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph in the question:
y = -6x + 3
To determine which of the given options:
a) y = (1/6)x + 3
b) y = -(1/6) + 3
c) y = -6x + 2
d) y = 3x - 6
is parallel to the graph of y = -6x + 3, we need to compare their slopes.
The given equation of the graph is y = -6x + 3:
Slope of the graph is -6.
Now, lets check each option:
a) y = (1/6)x + 3
This equation has a slope of 1/6, which is not equal to -6.
Therefore, it is not parallel to y = -6x + 3.
b) y = -(1/6) + 3
This equation also has a slope of 1/6 (the negative sign doesn't affect the slope), it is not parallel to y = -6x + 3.
c) y = -6x + 2
This equation has a slope of -6, which is the same as the slope of y = -6x + 3. Therefore, it is parallel to the given graph.
d) y = 3x - 6
This equation has a slope of 3, which is not equal to -6. Thus, it is not parallel to y = -6x + 3.
Therefore option C) y = -6x + 2 is the correct answer.
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4. What is a regular polygon?
5. For a regular pentagon, (NOT MULTIPLE CHOICE),
a. Find the measure of a single interior angle.
b. Find the measure of a single exterior angle.
6. The measure of the interior angle of a regular polygon is 162°. How many sides does it have?
Answers
5. For a regular pentagon:
a. The measure of a single interior angle can be found using the formula: (n - 2) * 180° / n, where n represents the number of sides of the polygon. For a pentagon, n = 5. Plugging the values into the formula:
Single interior angle = (5 - 2) * 180° / 5 = 3 * 180° / 5 = 540° / 5 = 108°
b. The measure of a single exterior angle in a regular polygon can be found by subtracting the measure of the corresponding interior angle from 180°.
Single exterior angle = 180° - Single interior angle = 180° - 108° = 72°
6. If the measure of the interior angle of a regular polygon is 162°, we can use the formula for the measure of a single interior angle: (n - 2) * 180° / n = 162°, where n represents the number of sides of the polygon.
Solving for n:
(n - 2) * 180° / n = 162°
Multiplying both sides by n:
(n - 2) * 180° = 162° * n
Distributing:
180°n - 360° = 162°n
Subtracting 180°n from both sides:
-360° = -18°n
Dividing both sides by -18°:
n = 20
Therefore, the regular polygon with an interior angle of 162° has 20 sides.
Star answer please ?
Answer:
4.
A regular polygon is a polygon in which all sides are equal in length and all angles are equal in measure.
5.
a. The measure of a single interior angle in a regular pentagon is:
[(n – 2)*180°]/n = 540°/5 = 108°.
b. The measure of a single exterior angle in a regular pentagon is:
360°/n = 360°/5 = 72°.
6.
This can be found using the following formula:
[(n – 2)*180°]/n = Interior angle
(n-2)*180=162°*n
180n-360=162n
180n-162n=360
18n=360
n=360/18
n=20
where n is the number of sides in the regular polygon.
A regular polygon with an interior angle of 162° has 20 sides.
Which is the best deal over 5 years? Investing at 7.87% compounded semi annually, 7.8% compounded quarterly, or 7.72% compounded every minute?
Answers
The best deal over 5 years would be investing at 7.8% compounded quarterly.
Although the interest rates of 7.87% compounded semi-annually and 7.72% compounded every minute may appear slightly higher, the frequency of compounding plays a significant role in determining the overall return.
Compounding more frequently leads to a higher effective annual rate. In this case, compounding quarterly provides a greater compounding frequency than semi-annual or minute-by-minute compounding, resulting in higher returns over time.
When interest is compounded quarterly, the compounding occurs four times a year, whereas semi-annual compounding only occurs twice a year. Compounding every minute may seem more frequent, but the actual effect on the return is minimal since there are a large number of minutes in a year.
Therefore, the 7.8% compounded quarterly is the best deal over 5 years as it offers a higher effective annual rate compared to the other options.
In summary, investing at 7.8% compounded quarterly is the most advantageous choice over a 5-year period. The frequency of compounding plays a crucial role in determining the overall return, and compounding quarterly provides a greater compounding frequency compared to semi-annual or minute-by-minute compounding.
It is essential to consider both the interest rate and the compounding frequency when evaluating investment options to make an informed decision.
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TIME REMAINING
01:48:30
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).
Which statement best explains the relationship between lines FG and HJ?
They are perpendicular because their slopes are equal.
They are perpendicular because their slopes are negative reciprocals.
They are not perpendicular because their slopes are equal.
They are not perpendicular because their slopes are not negative reciprocals.
Answers
Answer:
Its b i bealive
Step-by-step explanation:
Roger can run one mile in 9 minutes. Jeff can run one mile in 6 minutes. If Jeff gives Roger a 1 minute head start, how
long will it take before Jeff catches up to Roger? How far will each have run?
Not including the head start, it will take
-
■
--
minutes for Jeff to catch up to Roger.
Answers
Each person runs 1/3 of a mile when Jeff catches up to Roger.
================================================
Explanation
x = number of minutes that Jeff runs
x+1 = number of minutes Roger runs
Roger has the head start of 1 minute, so he has been running for 1 minute longer compared to Jeff.
Roger runs 1 mile in 9 minutes. His unit rate is 1/9 of a mile per minute.
Jeff's unit rate is 1/6 of a mile per minute.
Let's set up a table with what we have so far
[tex]\begin{array}{|c|c|c|c|} \cline{1-4} & \text{Distance} & \text{rate} & \text{time}\\\cline{1-4}\text{Jeff} & d & 1/6 & \text{x}\\\cline{1-4}\text{Roger} & d & 1/9 & \text{x}+1\\\cline{1-4}\end{array}[/tex]
The distance equation for Jeff is d = (1/6)x
The distance equation for Roger is d = (1/9)(x+1)
note: distance = rate*time
Both runners travel the same distance when Jeff catches up to Roger, so both "d"s are the same value at this specific moment. Set the right hand sides equal to each other and solve for x.
(1/6)x = (1/9)(x+1)
18*(1/6)x = 18*(1/9)(x+1)
3x = 2(x+1)
3x = 2x+2
3x-2x = 2
x = 2
Jeff runs for 2 minutes when he catches up to Roger.
----------
Check:
Jeff runs for 2 minutes, at 1/6 of a mile per minute, so he runs 2*(1/6) = 2/6 = 1/3 of a mile.
Roger runs for 2+1 = 3 minutes (remember he gets the head start) at 1/9 of a mile per minute, so he has run 3*(1/9) = 3/9 = 1/3 of a mile as well.
Both men have run the same distance which confirms Jeff catches up to Roger at this point. The answer is confirmed.
The equation y-20000(0.95)* represents the purchasing power of $20,000, with an inflation rate of five percent. X represents the
number of years
Use the equation to predict the purchasing power in five years.
Round to the nearest dollar.
$15,476
$17,652
$18,523
$19,500
Answers
The purchasing power in five years will be $15,476.
To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.
Plugging in X = 5, we have:
[tex]y = 20000(0.95)^5[/tex]
Calculating the expression, we find:
[tex]y ≈ 20000(0.774)[/tex]
Simplifying further, we get:
[tex]y ≈ 15480[/tex]
Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.
Therefore, the closest option to the predicted purchasing power in five years is $15,476.
So the correct answer is:
$15,476.
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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.
To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.
The equation provided is: y = 20000(0.95)^x
Substituting x = 5 into the equation, we have:
y = 20000(0.95)⁵
Now, let's calculate the result:
y ≈ 20000(0.95)⁵
≈ 20000(0.774)
y ≈ 20000(0.774)
≈ 15,480
This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.
By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.
The example equation is: y = 20000(0.95)^x
When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵
Let's now compute the outcome:
y ≈ 20000(0.95)⁵ ≈ 20000(0.774)
y ≈ 20000(0.774) ≈ 15,480
This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.
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