Let's use thales theorem:
\(\begin{gathered} \frac{320}{482}=\frac{40}{d} \\ \end{gathered}\)Solving for d:
\(\begin{gathered} d=\frac{482\times40}{320} \\ d=60.25m \end{gathered}\)Erika has 3 pieces of ribbon. Each piece is 25 yards long. She needs to cut pieces that are 22 inches long. What is the greatest number of 22 inch pieces she can cut from the 3 pieces of ribbon
Answer:
She can cut 122 pieces.
Step-by-step explanation:
She has 3 pieces of ribbon that are 25 yds long. In total, she has 75 yds, which is equal to 2700 in. Erika needs 22 in. pieces, so just divide 2700 by 22 to get your number.
2700/22 ≈ 122.72
6 devide by 7.3 so what is the answer
Answer:
0.82
step-by-step explanation:
Evaluate h(t)=50-t/5
h(35)=
Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
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.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
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please help me with this question anyone
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
80)
The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car
travels. A car gets 11 miles per gallon at 42 mph. How many miles per gallon will it get at 61 mph? Round to the
nearest tenth if necessary. A) 16 miles per gallon B)7.6 miles per gallon C)0.13 miles per gallon D)0.06 miles per gallon
Answer:
The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph.
Step-by-step explanation:
hope this helps you :)
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long
Answer:
D for sure
Step-by-step explanation:
i dont know if you have time for this so i explain it in the comments if you need it
Answer:
the answer is D
Step-by-step explanation:
Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).
Answer:
12
Step-by-step explanation:
Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D
To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.
From the given table, we can see that there are 22 students with gray eyes and red hair.
The total number of students with gray eyes is the marginal total for gray eyes, which is 35.
To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:
Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes
Relative frequency = 22 / 35
Simplifying the fraction, we have:
Relative frequency = 0.6286
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.
Therefore, the correct answer is option OD) 0.63.
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can you solve theis by the system of linear equations by elimination
To solve the system of equation using elimination, notice that the coefficient of the variable y appears with -3 in one equation and with 3 in the other. Since 3 and -3 are additive inverse numbers, then they will cancel out when added.
Then, add both equations: left hand side plus left hand side equals right hand side plus right hand side:
\(\begin{gathered} 2x-3y=9 \\ 5x+3y=12 \\ \Rightarrow2x-3y+5x+3y=9+12 \\ \Rightarrow2x+5x-3y+3y=21 \\ \Rightarrow7x=21 \\ \Rightarrow x=\frac{21}{7} \\ \Rightarrow x=3 \end{gathered}\)Substitute back x=3 in one of the equations and solve for y:
\(\begin{gathered} 5x+3y=12 \\ \Rightarrow5(3)+3y=12 \\ \Rightarrow15+3y=12 \\ \Rightarrow3y=12-15 \\ \Rightarrow3y=-3 \\ \Rightarrow y=-\frac{3}{3} \\ \Rightarrow y=-1 \end{gathered}\)Therefore, the solution to this system, is:
\(\begin{gathered} x=3 \\ y=-1 \end{gathered}\)Can someone help please?
ASAP
Answer:
Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)
Step-by-step explanation:
As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.
11^2 + 5^2 = AC^2
121 + 25 = AC^2
146 = AC^2
sqrt(146) = AC^2
Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)
The table shows the speeds s (in feet per second) of sound in water at various
temperatures t (in degrees Fahrenheit). Write a function that models the data. Use
the model to approximate the speed of sound when the water temperature is 100°F.
Temperature (°F), t: 32 50 90 120 180 212
Speed (ft/sec), s: 4603 4748 4960 5049 5095 5062
A function which models the data in the given table is y = 3848.2x^0.054. Also, an approximate speed of sound when the water temperature is 100°F is equal to 4935 ft/sec.
What is a line of best fit?A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the temperature of water would be plotted on the x-axis of the scatter plot while the speed of sound would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that a function for the line of best fit is given by:
y = 3848.2x^0.054
Next, we would determine the speed of sound when the water temperature is 100°F as follows:
y = 3848.2x^0.054
y = 3848.2 × (100)^0.054
y = 3848.2 × 1.2823
y = 4934.55 ≈ 4935 ft/sec.
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Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars.
What are the midline, amplitude, and period of this function?
Answer:
Midline: -2
Amplitude: 1.5
Period: 4
Step-by-step explanation: I got it right on the plato test.
The Midline is the middle of the number of the function.
The Amplitude is from the midline to the highest or lowest point of the function.
The period is the distance on the x axis from the two points.
Hope this helps!
Answer:
Step-by-step explanation:
on edmentum
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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Given: -7x<-21 choose the solution set
Answer:
x > 3
Step-by-step explanation:
The only thing you need to do is just divide both sides by -7
-7x/-7<-21/-7
x>3
I hope this helped!! Good luck (:
The probability that record drawn randomly from a standard deck of 52 cards is a four
Answer:
1/13
Step-by-step explanation:
no.of sample space n(S) = 52
no.of favourable cases n(E) = 4
probability of getting a four p(E) = n(E) / n(s)
or, 4/52
or 2/26
or 1/13
therefore,the probability of getting a four is 1/13.
Use the definition of a logarithmic function to write the logarithmic equation as an equation involving an exponent.log8K=L
SOLUTION
The logarithm of a positive real number x with respect to base b[nb 1] is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the solution y to the equation written as
\(\begin{gathered} \log _bx=y \\ is \\ x=b^y \end{gathered}\)Hence The logarithm equation
\(\log _8K=L\)Can be written in the exponent form in which the base of the logarithm becomes the base of the exponent.
Hence
\(K=8^L\)Therefore the exponent form of the given logarithm equation is K=8^L
Determine the domain of the function (f o g)((x) where:
Answer: You have the correct answer. It's choice B
Domain = \(\left(-\infty, \frac{2}{5}\right)\)
Nice work.
=========================================================
Explanation:
The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.
\(2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}\)
So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.
However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.
In short, the domain as an inequality is \(x < \frac{2}{5}\), which is the same as saying \(-\infty < x < \frac{2}{5}\) and that converts to the interval notation \(\left(-\infty, \frac{2}{5}\right)\)
We don't use a square bracket because we don't want to include the endpoint 2/5.
Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback in these paragraphs advance the plot
The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.
What is Flashback Narrative?The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.
The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.
Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather
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A theater has 60 seats in the first row 68 seats in the second row 76 seats in the third row and so on in the same increasing pattern. if the theater has 20 rows of seats, how many seats are in the 20th row?
There's a constant increase of 8 seats per row.
Therefore, if we were to model the situation with the equation of a line, the slope would be 8.
Using the
Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Lee's TV costs $4.05 to operate for a month of 30 days.
To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.
First, let's find out how many watts Lee's TV consumes in a day:
250 watts/hour x 3 hours/day = 750 watts/day
To convert this to kilowatts, we divide by 1000:
750 watts/day ÷ 1000 = 0.75 kilowatts/day
Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:
0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours
Finally, we can calculate the cost of operating the TV for a month:
22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05
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4. The line AB passes through the points A (k, 3) and (5, 4).The gradient of AB is 1/3 Find the value of k
Answer:
answer is
k=2
Step-by-step explanation:
For this type of question let's use an equation that's are used to find the slope.
\(m = (y2 - y1) \div (x2 - x1)\)
Now, substitute the numbers we have,
\( \frac{1}{3 } = (4 - 3) \div ( 5 - k)\)
\( \frac{1}{3} = 1 \div (5 - k)\)
\( \frac{1}{3} = \frac{1}{5 - k}\)
\(5 - k = 3\)
\(k = 2\)
To check your answer,
m= 4-3/5-2
m=1/3
BOOM!
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Identify the pivot positions in the original matrix. The pivot positions are indicated by bold values. Choose the correct answer below.A.1 2 3 43 4 5 65 6 7 8B.1 2 3 43 4 5 65 6 7 8C.1 2 3 43 4 5 65 6 7 8D.1 2 3 43 4 5 65 6 7 8
The pivot positions of the matrix are 1, 3, 5, and 7.
A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
In this case, all the given options (A, B, C, and D) contain the same numbers and have the same structure, so we can examine any one of them to determine the pivot positions.
The pivot positions in the given matrix can be found as follows:
The first pivot position is in the first row, first column (1).
The second pivot position is in the second row, second column (3).
The third pivot position is in the third row, third column (5).
The fourth pivot position is in the fourth row, fourth column (7).
So, the pivot positions in the matrix are 1, 3, 5, and 7. These are the bold values in the matrix and indicate the leading entries after row operations have been performed.
Complete Question:
Identify the pivot positions in the original matrix. The pivot positions are indicated by bold values. Choose the correct answer below.
A.1 2 3 4 3 4 5 6 5 6 7 8
B.1 2 3 4 3 4 5 6 5 6 7 8
C.1 2 3 4 3 4 5 6 5 6 7 8
D.1 2 3 4 3 4 5 6 5 6 7 8
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What are the values of x and y that simultaneously satisfy the two linear equations graphed below? HELP PLEASE
Answer:
D
Step-by-step explanation:
x=9 and y=4 is given in the graph, this makes the answer between B and D
Since y=-⅔x+10 and y=x-5, 4=-⅔(9)+10 and 4=9-5
So the answer is D
Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.
The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.
Let j represent Jayda's age.
Since Jayda is older than her 12-year-old sister, we can write the inequality:
j > 12
Thus, the inequality states that Jayda's age (j) is greater than 12.
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Answer:
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