What is the weighted average length of the nails in the drawer?
A. 350 cm
B. 333 cm
C. 5.00 cm
D. 3.50 cm
Answers
Related Questions
When finding the ratios of similar volumes you ____________ the ratio of their linear dimensions
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While finding with similar volumes, which might be volumes of figures that are similar in shape and proportion, we can find the ratio of their volumes by using the ratio of their linear dimensions.
The linear dimensions refer to the measurements of the duration, width, and height of the figures. If two comparable figures have corresponding linear dimensions inside the ratio of a:b, then their volumes could be in the ratio of \(a^3:b^3.\) that is because the volume of a 3-dimensional determine is decided by way of multiplying its duration, width, and top collectively.
For example, if we have cubes which are similar in shape and proportion & the period of one cube is two times the period of the other dice, then the ratio in their linear dimensions is 2:1. therefore, the ratio in their volumes can be \((2^3):(1^3)\), which simplifies to 8:1. which means the larger dice has 8 times the volume of the sm
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if you invest $550.00 and your annual interest is 4%, what will be the interest
Answers
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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BD bisects ABC if ABC=6x+58 find ABD
Answers
The measure of the angle ABD is (3x + 29)
What is Bisecting angles?Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.
When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.
Here we have
BD bisects ABC and ∠ABC = 6x+58
When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure
Here BD bisected ABC
The resultant angles will be ∠ABD and ∠DBC
Hence,
=> ∠ABC = ∠ABD + ∠DBC
=> ∠ABC = ∠ABD + ∠ABD [ Since two angles are equal
=> ∠ABC = 2∠ABD
From the given data,
=> 6x + 58 = 2∠ABD
=> 2 ∠ABD = 2(3x + 29)
=> ∠ABD = (3x + 29)
Therefore,
The measure of the angle ABD is (3x + 29)
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Plzzz help as soon as possible
Answers
Answer:
Step-by-step explanation:
8 is not a function
9 is a function
10 is a function
PLEASE HELP (failing this class and this is a 100 point assignment) (i mark brainlist)
Answers
Two sides of a triangle have the same length. The third side measures m less than twice the common length. The perimeter of the triangle is m. What are the lengths of the three sides?
Answers
Answer:
The length of the first side of a triangle = 6 m
The length of the second side of a triangle = 6 m
The length of the third side of a triangle = 9 m
Step-by-step explanation:
The complete question is: Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m. What are the lengths of the three sides?
We are given that two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m.
Let the common length of the two sides of a triangle be 'x m'.
So, the length of the first side of a triangle = x m
the length of the second side of a triangle = x m
the length of the third side of a triangle = (2x - 3) m
As we know that the perimeter of a triangle is given by;
The Perimeter of a triangle = Sum of all sides of a triangle
21 m = x + x + (2x - 3)
21 m = 2x + 2x - 3
21 m = 4x - 3
4x = 21 + 3
4x = 24 m
x = \(\frac{24}{4}\) = 6 m
Hence, the length of the first side of a triangle = x = 6 m
the length of the second side of a triangle = x = 6 m
the length of the third side of a triangle = (2x - 3) = 12 - 3 = 9 m
I need to show my work help me out
Answers
The distance of the flag pole from the end of the shadow is 23.32 feet.
How to find the side of a right triangle?A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:
The situation forms a right angle triangle.
Hence, using Pythagoras's theorem, we can find the distance.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the legsTherefore,
20² + 12² = c²
400 + 144 = c²
c = √544
c = 23.3238075794
Therefore,
distance of the flag pole to the end of the shadow = 23.32 feet
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can someone please answer
Answers
Answer:
It is B
Step-by-step explanation:
If you find the perimeters of each of the rectangles, you get 11x2, 15x2, and then 19x2
How did I get the x2?
All you have to do is add the length and width together, but it only gives half of the perimeter as there is another half at the other corner of the rectangle. The 11, 15, and 19 was from adding the 4s with the 7s. In the first rectangle, you do 7+4 equals 11, but you have to multiply it by 2, hence the first sentence at the beginning. Then you can find the slope, or the rate of change, as it increases by intervals of 8. The four that is added to every extra rectangle added to it is multiplied by 2, because there is another four at the other side of the rectangle. Then you can find the answer using process of elimination because B, is the only answer that the y-values increase by 8, while the x-values increase by 1, as the x values are counting how many rectangles are in each rectangle.
Hope this helps!
what is the slope of the line in the graph below
Answers
Answer:
-2
Step-by-step explanation:
The slope of the line is where the -2 is. The line passes through it.
3x+4 number of terms
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
In this expression, the terms are the parts of the sum. They are 3x and 4. There are 2 terms.
Find a 1-parameter family of solutions of each of the differential equations 1-16 listed below. Be careful to justify all steps used in obtaining a solution and to indicate intervals for which the differential equation and the solutions are valid. Also, try to discover particular solutions which are not members of the family of solutions.
10. x cos(y) dx + x^2 sin(y) dy = a^2 sin(y) d
Answer: a^2 - x^2 = c cos^2(y), x^2 "can't equal" -2, y "can't equal" pi/2 + n*pi, y = pi/2 + n*pi
13. y' = y ln(y) cot(x)
Answer: y = e^(c*sin(x)), x "can't equal" n*pi, y "can't equal" 0
16. e^(y^2)*(x^2 + 2x + 1) dx + (xy + y) dy = 0
Answer: x^2+2x=e^(-y^2) + c, x "can't equal" -1
I just need a detailed step-by-step on how to solve these problems.
Thank you so much!!
Answers
10. x cos(y) dx + x² sin(y) dy = a² sin(y) d
⇒ a² - x² = c cos²(y)
The differential equation and the solutions are valid for all values of x and y except for x² ≠ -2 and y ≠ pi/2 + n*pi.
13. y' = y ln(y) cot(x)
⇒ y = e^(c*sin(x))
The differential equation and the solutions are valid for all values of x except for x ≠ n*pi and y ≠ 0.
16. e^(y²)*(x² + 2x + 1) dx + (xy + y) dy = 0
⇒ x²+2x = e^(-y) + c
The differential equation and the solutions are valid for all values of x except for x ≠ -1.
The differential equation10. To solve the differential equation, we can use the method of integrating factors. First, we notice that the differential equation is not exact. The integrating factor for the differential equation is given by:
mu(x, y) = e^integral(sin(y)/x² dx) = e^(-cot(y))
Multiplying both sides of the differential equation by mu(x, y), we get:e^(-cot(y)) x cos(y) dx + e^(-cot(y)) x² sin(y) dy = a² e^(-cot(y)) sin(y) dx
The left-hand side of this equation can be written as the exact differential of e^(-cot(y)) x² sin(y). Therefore, we can write:d(e^(-cot(y)) x² sin(y)) = a² e^(-cot(y)) sin(y) dx
Integrating both sides with respect to x, we get:e^(-cot(y)) x² sin(y) = a² integral(e^(-cot(y)) sin(y) dx) + c
where c is the constant of integration.
The integral can be evaluated as:integral(e^(-cot(y)) sin(y) dx) = -a² cos(y) + d
where d is another constant of integration.
Substituting this into the above equation, we get:e^(-cot(y)) x² sin(y) = -a² cos(y) x² + c
Simplifying, we obtain:a² - x² = c cos²(y)
Therefore, the family of solutions is given by:a² - x² = c cos²(y)
The differential equation and the solutions are valid for all values of x and y except for x² ≠ -2 and y ≠ pi/2 + n*pi. A particular solution that is not a member of this family is x = 0, y = pi/2.
13. To solve the differential equation, we can separate the variables:
dy/y = ln(y) cot(x) dx
Integrating both sides, we get:ln(|y|) = -ln(|sin(x)|) + c
where c is the constant of integration.
Exponentiating both sides, we obtain:|y| = e^c/sin(x)
Since y cannot be zero, we can drop the absolute value sign and obtain:y = e^c/sin(x)
Therefore, the family of solutions is given by:y = e^(c*sin(x))
The differential equation and the solutions are valid for all values of x except for x ≠ n*pi and y ≠ 0. A particular solution that is not a member of this family is y = 1, x = pi/2.
16. To solve the differential equation, we can use the method of integrating factors. First, we notice that the differential equation is not exact. The integrating factor for the differential equation is given by:
mu(x, y) = e^integral(xy+y)/(x²+2x+1) dx = e^y
Multiplying both sides of the differential equation by mu(x, y), we get:e^y(x²+2x+1) dx + e^y(xy+y) dy = 0
The left-hand side of this equation can be written as the exact differential of e^y(x+1)². Therefore, we can write:d(e^y(x+1)²) = 0
Integrating both sides, we get:e^y(x+1)² = c
where c is the constant of integration.
Simplifying, we obtain:x²+2x = e^(-y) + c
Therefore, the family of solutions is given by:x²+2x = e^(-y) + c
The differential equation and the solutions are valid for all values of x except for x ≠ -1. A particular solution that is not a member of this family is x = -1, y = 0.
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I need help right now!!!
Answers
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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Please help I'll give brainlest
Which of the following is 1,215 divisible by? Select all that apply.
A.3
B.2
C.9
D.10
E.5
F.8
G.4
H.6
Answers
Answer: A,C,E
Step-by-step explanation:
All of the other answers give you a decimal.
Answer:
ACEStep-by-step explanation:
A
1215 divided by 3 = 405
B
1215 divided by 9 = 135
C
1215 divided by 5 = 243
*The other answers can give a decimal answer.
2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
Answers
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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Help&EXPLAIN
==============
Answers
Step-by-step explanation:
hope u understand. Answer is 12.56 inches ^2
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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Hi!!!!!HiiiiiIiiiiiiiii
Answers
In the following diagram,
What is the measure of
∠x
Answers
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
15. Enter the missing digit to complete the subtraction statement
2 5 4, 8 1 7
- 1 3 _, 1 2 5
__________
1 1 8, 6 9 2
Answers
Evaluate the expression (q/p)+3p^2 if q=3.5 and p=1
Answers
Answer:
The answer is 6.5
Step-by-step explanation:
(3.5/1)+3(1)^2
3.5/1=3.5
3(1)^2=3
3.5+3=6.5
Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left. Write an equation to find what Fred's allowance is.
Use X as a variable
Answers
The equation to find what Fred's allowance is will be 0.5x + 20 = 30
How to compute the equation?Let the variables be x.
From the information, Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left.
This will be:
(1/2 × x) + 20 = 30
0.5x + 20 = 30
Therefore, the equation to find what Fred's allowance is will be 0.5x + 20 = 30
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“use synthetic method to find the quotient”
Answers
Answer:
1) \(2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}\)
2) \(5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}\)
Step-by-step explanation:
Help I don’t get this
Answers
Answer:
0.04 gallons in one mile
Step-by-step explanation:
Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
PLEASE HELP ME WILL REPORT IF TROLL
Answers
Answer:
The answer is 1470 seconds.
Step-by-step explanation:
At a large conference of teachers from a variety of subjects, a random sample of 50 mathematics teachers attending the conference was selected. Among the selected mathematics teachers, 28% had taken 1 or more courses in statistics. For which of the following populations is 28% a reasonable estimate of the percentage of those who have taken 1 or more courses in statistics?
(B) All mathematic teachers who attended the conference
Answers
(B) All mathematic teachers who attended the conference.
Option B is the correct option.
By statistics, what do you mean?The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics.
What types of statistics are there?A statistic is a numerical representation of a sample property. One example of a statistic is the average number of points students in one math class got at the conclusion of the term if we assume that class to be representative of the population of all math classrooms.
The significance of statisticsDue to their role in assisting decision-making, statistics are crucial. To track progress, evaluate performance, identify issues, and set priorities, governments, organizations, and corporations all gather statistics.
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Decreasing the number of years of a loan decreases the amount of interest repaid over the term of the loan. Suppose a dental hygienist has the option of a 30-year loan or a 25-year loan of $345,000 at an annual interest rate of 3.75%.
(a)
a) Calculate the monthly payment (in dollars) for each loan. (Round your answers to the nearest cent.)
30-year loan
25-year loan
b) Calculate the savings in interest (in dollars) by using the 25-year loan. (Round your answer to the nearest cent.)
Answers
Answer:
a) 30 yr: $1597.75; 25 yr: $1773.75
b) $43065.00
Step-by-step explanation:
The monthly payment for each loan can be found using the amortization formula, or a spreadsheet or calculator. The shorter 25-year loan has fewer and larger payments, but the net result is less interest paid.
a)The attached calculator shows the monthly payments to be ...
30 year loan: $1597.75 monthly
25 year loan: $1773.75 monthly
b)The number of payments is the product of 12 payments per year and the number of years. The total repaid is the monthly payment times the number of payments.
The difference in amounts repaid is the difference in interest charged.
360×1597.75 -300×1773.75 = $43065 . . . . savings using 25-year loan
__
Additional comment
The monthly payment on a loan of principal P at annual rate r for t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Some calculators and all spreadsheets have built-in functions for calculating this amount.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
Answers
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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I need help with this question. Solve in y=a•b^x format
Answers
Solve the equation in this format:
\(y=a\mathrm{}b^x\)when x = 0, y = 1000
\(\begin{gathered} y=ab^x \\ 1000=a\mathrm{}b^0 \\ 1000=a\ldots\ldots\text{.}\mathrm{}(1) \end{gathered}\)when x = 2, y = 360
\(\begin{gathered} y=a\mathrm{}b^x \\ 360=ab^2\ldots\ldots..(2) \end{gathered}\)solve the equation simulataneously
\(\begin{gathered} 1000=a\ldots\ldots(1) \\ 360=ab^2\ldots....(2) \\ sub\text{ the value of a in equ(2)} \\ 360=1000b^2 \\ \text{divide both side by 1000} \end{gathered}\)\(\begin{gathered} \frac{360}{1000}=\frac{1000b^2}{1000} \\ \frac{36}{100}=b^2 \\ \text{square the root of both side} \\ \sqrt[]{\frac{36}{100}}=\sqrt[]{b^2} \\ \frac{6}{10}=b \\ \frac{3}{5}=b \end{gathered}\)Therefore the equation of the function is
\(\begin{gathered} y=a.b^x \\ y=1000.(\frac{3}{5})^x \end{gathered}\)Point X is at 2/3 on a number line. On the
same number line, point Y is the same
distance from 0 as point X, but has a
numerator of 8. What is the denominator
of the fraction at point Y? Draw a number
line to model the problem.
Answers
The denominator of the fraction at point Y is equal to 24.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:
8/d = 1 - 2/3
8/d = 1/3
Cross-multiplying, we have:
d = 8 × 3
d = 24.
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INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answers
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha