The area of each of the bottom fret markers using given dimensions is equal to 364 square millimeters.
Base of the fret marker = 45.5mm
Height of the fret marker = 8mm
Attached image.
The area of a parallelogram can be found by multiplying the base by the height.
Here, the base of each of the 3 bottom fret markers is 45.5mm and the height is 8mm.
So, the area of each fret marker is,
Area = base x height
Substitute the value of base and height we have,
⇒ Area = 45.5mm x 8mm
⇒ Area = 364 mm²
Therefore, the area of each of the 3 bottom fret markers is 364 square millimeters.
learn more about area here
brainly.com/question/16550994
#SPJ1
The above question is incomplete, the complete question is:
Raymond applies the pearl guitar fret markers to his fret board as shown. Each fret marker is in the shape of a parallelogram. Each of the 3 bottom fret markers has a base that measures 45.5mm and a height of 8mm. What is the area of each of the bottom fret markers?
Attached image.
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
Learn more about straight line graph:https://brainly.com/question/30281621
#SPJ1
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
Is the function represented by the following table linear, quadratic or exponential?
The function represented by the table is symmetric, and the values of y vary with the square of the corresponding values of x. Therefore, the function is exponential.
What is function?In mathematics, a function is a rule that assigns a unique output value for every input value. It is a mathematical object that takes an input and produces an output. A function is often represented symbolically as f(x), where f is the name of the function and x is the input. The output value of the function depends on the input value, and the relationship between the input and output is determined by the rule of the function. Functions can be linear, quadratic, exponential, trigonometric, or many other types. They are used to model real-world phenomena and solve mathematical problems.
Here,
To determine if the function represented by the table is linear, quadratic, or exponential, we can plot the points on a graph and look at the pattern of the data.
x y
-2 12
-1 3
0 0
1 3
2 12
|
12 * * 12
| \ /
6 * *
| |
0 --*--*--*--*--*--*--*--*--
| |
* *
/ \ /
-6 * * *
|
-2 -1 0 1 2
Looking at the graph, we can see that the points do not fall on a straight line, so the function is not linear. Additionally, the curve of the points does not resemble a parabola, so the function is not quadratic. However, the points are symmetric around the y-axis, suggesting that the function may be exponential.
To confirm this, we can calculate the ratio of consecutive y-values:
12/3 = 4
3/0 = undefined
0/3 = 0
3/12 = 1/4
We can see that the ratio is not constant except for the first and last points, which have a ratio of 4. This suggests that the function is not purely exponential, but may have some other component.
To know more about function,
https://brainly.com/question/28193995
#SPJ1
How do you find the slope of the second line
Answer:
-2/3
Explanation:
Note that slopes of perpendicular lines are negative reciprocals of each other.
For example, if the slope of one of the two lines is m, then the slope of the other will be given as -1/m.
From the question, we're told that the slope of the green line is 3/2, we can go ahead and determine the slope of the red line as shown below;
\(\begin{gathered} \text{Slope of red line}=\frac{-1}{\frac{3}{2}} \\ =-1\times\frac{2}{3} \\ =-\frac{2}{3} \end{gathered}\)A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Answer:
\(area=\frac{85}{4}feet^{2}\)
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
\(perimeter=18\frac{1}{2}\\\\length=5\)
\(2(length+width)=perimeter\)
Substitute,
\(2(5+width)=18\frac{1}{2}\)
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
\(2(5+width)=\frac{37}{2}\)
Inverse operations,
\(2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}\)
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
\(length=5\\\\width = \frac{17}{4}\)
\(length*width=area\)
Substitute,
\(5*\frac{17}{4}\\\\=\frac{85}{4}\)
\(area=\frac{85}{4}feet^{2}\)
help please on 14 & 16
Answer:
14=90
Step-by-step explanation:
You're on the right track with writing the measure of MK = angle N. To figure out angle N we can use the right angle sign right next to it (at LNK). We know that line JK is a straight line meaning it's angle = 180. Therefore, if LNK is 90 degrees, then N also has to be 90 degrees because 90+90=180. From there we know that the measure of MK = 90 due to MK and N being vertical angles.
I unfortunately can't help you with 16, but I hope I was able to help with 14
Find sequence 10 5/22, 9, 7 17/22, ___, 5 7/22
Answer:
6⁶/11
Step-by-step explanation:
adding -27/22 to the previous number will give you the next number in the sequence
10 5/22 + -27/22 = 9
9 + -27/22 = 7 17/22
7 17/22 + -27/22 = 6 6/11
6 6/11 + -27/22 = 5 7/22
The positive variables p and c change with respect to time 1. The relationship between p and c is given by the equation p^2 = (20-c)^3. At the instant when dp/dt = 41 and c = 15, what is the value of dc/dtï¼
The value of dc/dt due to changes in p and c variables is 0.364.
The positive variables p and c change with respect to time 1. The relationship between p and c is given by the equation p^2 = (20-c)^3. Now the dp/dt value is 41 and c is 15.
Differentiate the given equation to obtain the following:
2p dp/dt = 3(20-c)^2 dc/dt
Substitute the given values in the equation to obtain the following:
2p (41) = 3(20 - 15)^2 dc/dt
Simplify the equation to obtain the following:
82 = 225 dc/dt
Divide both sides of the equation by 225 to obtain the following:
dc/dt = 82/225
Simplify the equation to obtain the following:
dc/dt = 0.364
Hence, the value of dc/dt is 0.364.
For more questions like Equation click the link below:
https://brainly.com/question/2288530
#SPJ4
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
find the inverse of each equation
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
Learn more about inverse of equation here: https://brainly.com/question/29390335
#SPJ1
find the size of angle x
Solve the following simultaneous equation using algebra
6x + 3y =45
On Solving the equations "6x + 3y = 45" and "2x - 2y = 6", we get that the solution is x = 6 and y = 3.
An "Equation" is defined as a mathematical statement which shows the equality of "two-expressions", which are separated by equal sign.
To solve the simultaneous equations:
6x + 3y = 45 ...equation(1)
2x - 2y = 6 ...equation(2)
We Multiplying the equation(2) by 3, we get:
⇒ 6x - 6y = 18,
Subtracting this equation to the first equation, we get:
⇒ 6x + 3y - 6x + 6y = 45 - 18,
⇒ 9y = 27,
⇒ y = 3,
Now, we can substitute this value of "y" into any of the original equations to find "y". Let's use the first equation:
⇒ 6x + 3y = 45,
Substituting y = 3, we get:
⇒ 6x + 3(3) = 45,
⇒ 6x + 9 = 45,
⇒ 6x = 45 - 9,
⇒ x = 6,
Therefore, the solution to the simultaneous equations is x = 6 and y = 3.
Learn more about Equation here
https://brainly.com/question/19237767
#SPJ1
The given question is incomplete, the complete question is
Solve the following simultaneous equation
6x + 3y = 45 and 2x - 2y = 6.
NEED ANSWER ASAP WILL GIVE 20 POINTS ONLY IF CORRECT PLS ANSWER NOW
Which statement is true for the equation 3x − 3x − 2 = −2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Answer:
Hey. This equation has infinite many solutions.
3x - 3x - 2 = - 2
3x - 3x = 0
3x = 3x
This equals to each other meaning infinite solutions
Step-by-step explanation:
Rewrite an equivalent expression as an addition statement:
4 - 10
Answer: four plus negitive ten
4+(-10)
Step-by-step explanation:
In what direction is the line containing the point (5, 4) and (-2, 4) going?
O A. vertical
O B. up and to the right
O c. horizontal
D. down and to the right
Which statement is true?
A. 3.5 = 8/10
B.35 > 3/10
C. 35/100 < .35
D. 3 3/10 = .35
Please make sure to put an explanation.
Answer:
The correct answer is C.
Explanation:
A. 3.5 = 8/10 is not true because 3.5 is equivalent to 7/2, which is not the same as 8/10 (which reduces to 4/5).
B. 35 > 3/10 is true because 35 is a larger number than 3/10.
C. 35/100 < .35 is true because 35/100 reduces to 7/20, which is less than .35.
D. 3 3/10 = .35 is not true because 3 3/10 is equivalent to 33/10, which is not the same as .35 (which is equivalent to 7/20).
T2.T?
5.
UJU.4J
A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100
S(C) = 1.4C
What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?
C(S(x)) = –0.196x2 + 100; $108.64
C(S(x)) = –0.196x2 + 100; $55.90
S(C(x)) = –0.14x2 + 140; $144.41
S(C(x)) = –0.14x2 + 140; $108.50
Answer:
D
Step-by-step explanation:
Answer:
D-S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
what fraction dose point A on the number line Belem reprasent
What is the equation of the line parallel to the line y=3/4x and passes through the point (-4,10)
Answer:
D)
Step-by-step explanation:
to solve this problem we need to know slope and one point
parallell lines have the same slope
we know the slope is 3/4 and the point is (-4,10)
plug the known data into the slope-intercept form of a line: y = mx + b
10 = 3/4(-4) + b
10 = -3 + b
b = 13
answer: y = 3/4x + 13
Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
Learn more about Vertical Angles with this given link:
https://brainly.com/question/28424551
A car travels at an average speed of 64 mph. how long does it take to travel 304 miles 
Assuming the time begins after the car is fully accelerated to 64 mph, 4 hours 45 minutes
IG:whis.sama_ent
2051
20
SINO-V3 COSO - 2
2
Answer:WHAT DOES THAT EVEN MEAN!?!?
Step-by-step explanation:
!!!!!!!!
An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in 15 Years from today. Calculate the value of (to 2 decimal places), assuming an interest rate of 2% per annum.
Answer:
x = 12.29
Step-by-step explanation:
present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²
present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x
0.743x² = 9.1323x
x² / x = 9.1323 / 0.743
x = 12.29
Answer
x = 12.29
Step-by-step explanation:
Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:
x²/(1 + 0.02)^15
= x²(1/1.02)^15
= 0.743x²
The present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9
= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x
= 9.1323x
Now,
0.743x² = 9.1323x
x²/x = 9.1323/0.743
x = 12.29
This is what we are looking for.
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
For more question on expression
https://brainly.com/question/1859113
#SPJ8
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
Click here for additional information about probability.
https://brainly.com/question/17089724
#SPJ1
Given the function R(x)=x+3/x−5, find the values of x that make the function greater than or equal to zero. Write the solution in interval notation.
Answer:
Step-by-step explanation:
\(R(x)=\frac{x+3}{x-5} \geq 0\\R(x)=0,gives~x+3=0,x=-3\\R(x)>0 ,if~both~numerator ~and~denominator~are~of~same~sign.\\let~x+3>0,x>-3\\and~x-5>0,x>5\\combining \\x>5\\\\again~let~x+3<0,x<-3\\x-5<0,x<5\\combining\\x<-3\\Hence~R(x)\geq 0\\if ~x \in ~[- \infty,-3]U(5,\infty)\)
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
28 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 8 , thus
A = \(\frac{1}{2}\) × 7 × 8 = \(\frac{1}{2}\) × 56 = 28 cm²
Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]
\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).
the first domain is true for f(0) so we substitute value of x in the first function
\(f(x) = x \\ f(0) = 0\)