If each machine produces nails at the same rate, how many nails can 1 machine produce in 1 hour
Answers
Divide the number of nails by the number of minutes:
16 1/5 ÷ 15 = 1 2/25 per minute
48 3/5 ÷ 45 = 1 2/25 per min
59 2/5 ÷ 55 = 1 2/25 per min
We have the number of nails produced per minute, to calculate the number of nails in an hour multiply it by 60, because 60 minutes= 1 hour:
1 2/25 x 60 = 64 4/5
Related Questions
A library give every employee a $500 bonus. What effect, if any does it have on(a) mean (b) median (c) mode (d) Standard division
Answers
The mean is the
sum of salaries/number of employees
Assuming the salaries of 5 employees were
1000, 2000, 3000, 4000, 4000
Mean = (1000 + 2000 + 3000 + 4000, 4000)/5 = 2800
If we add a bonus of $500 to each, we have
1500, 2500, 3500, 4500, 4500
Mean = (1500 + 2500 + 3500 + 4500 + 4500)/5 = 3300
Thus, the mean increases
The median is the middle value
The middle value was 3000, the new median is 3500
The median increases
The mode is the value with the highest frequency. The former mode is 4000. The new mode is 4500
the mode increases
The standard deviation is how far the values are from the mean
Standard deviation = Square root of the square of (each value - mean)/ number of values. Thus, we have
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Hello! I need some assistance with this homework question, pleaseQ12
Answers
Answer:
A(-1,4) and B(2,0)
Step-by-step explanation:
The quadratic parabola equation is represented as;
[tex]\begin{gathered} y=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the vertex of the parabola} \end{gathered}[/tex]Therefore, if the given vertex (2,-5) and the other given point (-1,-1), substitute into the equation and solve for the constant ''a'':
[tex]\begin{gathered} -1=a(-1-2)^2-5 \\ -1=9a-5 \\ 9a=4 \\ a=\frac{4}{9} \end{gathered}[/tex]Hence, the equation for the parabola:
[tex]f(x)=\frac{4}{9}(x-2)^2-5[/tex]Now, for the line since it is a horizontal line, the equation would be:
[tex]g(x)=5[/tex]Then, for (f+g)(x):
[tex]\begin{gathered} (f+g)(x)=\frac{4}{9}(x-2)^2-5+5 \\ (f+g)(x)=\frac{4}{9}(x-2)^2 \end{gathered}[/tex]Then, the graph for the composite function and the points that lie on the graph:
A(-1,4) and B(2,0)
Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.
Answers
The probability that a randomly selected passenger have a waiting time greater than 2.25 minutes is .
in the question ,
it is given that
the waiting time is randomly distributed between 0 and 6 minutes .
Since it is uniformly distributed , the Uniform distribution have two bounds a and b .
The probability of finding the value greater than x can be calculated using the formula .
P(X>x) = (b-x)/(b-a)
Given that , the waiting time is Uniformly distributed 0 and 6 minutes , we get a=0 and b=6,
Substituting the values in the Probability formula , we get
P(X>2.25) = (6-2.25)/(6-0)
= 3.75/6
= 0.625
Therefore , the probability that a randomly selected passenger have a waiting time greater than 2.25 minutes is 0.625.
The given question is incomplete , the complete question is
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.
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Which is 56,900,000 in scientific notation?o 5.69 x 10⁷o 56.9 x 10⁷o 5.69 X 10⁶o 56.9 X 10⁶
Answers
Answer:
5.69 x 10⁷
Explanation:
A number is said to be in the scientific notation when it is written as a product of a number between 1 and 10 and a power of 10.
The number 56,900,000 in scientific notation is 5.69 x 10⁷.
The correct choice is A.
x³ - 3x = 37
Help please :(
Answers
F(x)=x+1 and g(x)=x^3 -1Find (fg)(5)
Answers
Solution
[tex](fg)(x)=f(x)\times g(x)[/tex]So
[tex]\begin{gathered} f(5)=5+1=6 \\ g(5)=5^3-1=125-1=124 \end{gathered}[/tex]and
[tex]\begin{gathered} (fg)(5)=f(5)\times g(5) \\ (fg)(5)=6\times124=744 \end{gathered}[/tex]Answer: (fg)(5) = 744
A rectangular sheet of metal is 40 inches wide and 100 inches long. What is its perimeter?
Answers
Explanation
We are given the following:
[tex]Rectangle\begin{cases}width={\text{ }40inches} \\ length={\text{ }100inches}\end{cases}[/tex]We are required to determine the perimeter of the rectangular sheet.
This is achieved thus:
We know that the perimeter of a rectangle is given as:
[tex]P=2(l+w)[/tex]Therefore, we have:
[tex]\begin{gathered} P=2(100+40) \\ P=2(140) \\ P=280inches \end{gathered}[/tex]Hence, the answer is:
[tex]280inches[/tex]Find the area of the shaded region in the figure Type an integer or decimal rounded to the nearest TENTH
Answers
Answer:
The area of the shaded region is;
[tex]18.7\text{ }in^2[/tex]Explanation:
Given the figure in the attached image.
The area of the shaded region is the area of the larger circle minus the area of the smaller circle;
[tex]\begin{gathered} A=\frac{\pi D^2}{4}-\frac{\pi d^2}{4} \\ A=\frac{\pi}{4}(D^2-d^2) \end{gathered}[/tex]Given;
[tex]\begin{gathered} D=6 \\ d=3\frac{1}{2} \end{gathered}[/tex]Substituting the given values;
[tex]\begin{gathered} A=\frac{\pi}{4}(D^2-d^2) \\ A=\frac{\pi}{4}(6^2-3.5^2) \\ A=\frac{\pi}{4}(23.75) \\ A=18.65\text{ }in^2 \\ A=18.7\text{ }in^2 \end{gathered}[/tex]Therefore, the area of the shaded region is;
[tex]18.7\text{ }in^2[/tex]In the picture below, measure 1 is 5x-14 degrees and measure 3 is 2x+10 degrees. Find measure 2.
Answers
SOLUTION:
Step 1:
In this question, we have the following:
In the picture below, measure 1 is (5x-14) degrees and measure 3 is (2x+10) degrees.
Find the measure of 2.
Step 2:
From the diagram, we can see that angles 1 and 3 are vertically opposite and they are also equal.
Based on this fact, we can see that:
[tex]\begin{gathered} \angle\text{1 = }\angle3 \\ (\text{ 5 x- 14 ) = ( 2x + 10 )} \\ \text{collecting like terms, we have that:} \\ 5x\text{ - 2x = 10 + 14} \\ \text{3 x = 24} \end{gathered}[/tex]Divide both sides, we have that:
[tex]\begin{gathered} x\text{ =}\frac{24}{3} \\ \text{x = 8 } \end{gathered}[/tex]Then, we put x = 8 into the equation for Angle 1 , we have that:
[tex]\angle1=(5x-14)=5(8)-14=40-14=26^0[/tex][tex]\angle3=(2x+10)=2(8)+10=16+10=26^0[/tex]Hence, we can see that Angles 1 and 3 are equal.
Step 3:
From the diagram, we can see that:
we can see that angles 2 and 4 are vertically opposite and they are also equal.
Recall that angles 1 and 3 are also vertically opposite and they are also equal.
Therefore, we can see that:
[tex]\begin{gathered} \angle2\text{ = p} \\ \angle4\text{ = p} \\ \angle1\text{ = }26^0 \\ \angle3=26^0 \\ \text{Then, we have that:} \\ p+p+26^0+26^{\text{ 0 }}=360^0\text{ ( Sum of angles at a point)} \\ 2p+52^0=360^0 \\ 2p=360^0-52^0 \end{gathered}[/tex]Divide both sides by 2, we have that:
[tex]\begin{gathered} 2p=308^0 \\ p\text{ =}\frac{308^0}{2} \\ p=154^0 \end{gathered}[/tex]CONCLUSION:
[tex]\begin{gathered} \operatorname{Re}call\text{ that }\angle2\text{ = p} \\ \text{Then, we have that:} \\ \angle2=154^0 \end{gathered}[/tex]The parabola f (x) = (x - 2)2 + 1 is graphed in the xy-coordinate plane.8Part ASelect from the drop-down menus to correctly complete the sentence.The vertex of the parabola is 2 units(a)(b) Part BSelect from the drop-down menus to correctly complete the sentence.How does the function f (x+3) compare to f (x)?f (x + 3) has avshift 3 unitsV the origin and 1 unitv f(x).the origin.
Answers
We will have the following:
a) The vertex of the parabola is 2 units right of the origin and 1 unit up from the origin.
b) We will have that:
f(x+3) has vertex shift 3 units left of f(x).
I will attach a picture to this question so you can understand it better.
Answers
Here are the given information:
1. 7 red beads for every 4 blue beads
2. total of 44 beads (red and blue)
Find: the number of red beads
Solution:
We can solve this in two ways. We can solve this using proportion or we can solve this by counting.
Let's start counting first. Let's say 7 red beads and 4 blue beads is 1 set. So, for every set, we already have 7 + 4 = 11 beads in total.
First set = 7 red bead + 4 blue beads = 11 beads
Second set = 7 red bead + 4 blue beads = 11 beads
Third set = 7 red bead + 4 blue beads = 11 beads
Fourth set = 7 red bead + 4 blue beads = 11 beads
If we add all the 4 sets, we have a total of 44 beads. If we add all the RED beads only, we get 7 red beads x 4 sets = 28 red beads.
Therefore, Lily used 28 red beads.
Now, using proportion, we can have this equation:
[tex]\frac{7\text{red beads}}{4\text{blue bead}}=\frac{x\text{ red beads}}{(44-x\text{ red)blue beads}}[/tex]where x = the total number of red beads and we got 44 - x as the number of blue beads.
The next thing that we need to do here is to solve for x.
1. To solve for x, do cross multiplication first.
[tex]7(44-x)=4x[/tex]2. Multiply 7 to the numbers inside the parenthesis.
[tex]308-7x=4x[/tex]3. Add 7x on both sides of the equation.
[tex]\begin{gathered} 308-7x+7x=4x+7x \\ 308=11x \end{gathered}[/tex]4. Lastly, divide both sides by 11.
[tex]\begin{gathered} \frac{308}{11}=\frac{11x}{11} \\ 28=x \end{gathered}[/tex]As we can see, the value of x = 28. Lily used 28 red beads.
Is this continous or discrete?Fees for Overdue Books
Answers
The following graph is given, representing the fees due for Overdue books:
Select the correct answer from each drop-down menu.
Given: Kite ABDC with diagonals AD and BC intersecting at E
Prove: AD L BC
A
C
E
LU
D
B
Determine the missing reasons in the proof.
Answers
The missing reasons are
ΔCDA ≅ ΔBDA by SSS [side side side]
ΔCED ≅ ΔBED by SAS [side angle side]
What is Kite?
A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equal angles and two pairs of adjacent equal-length sides as a result of its symmetry.
Given,
ABCD is a kite, with the diagonal AD and BC
We have,
AC = AB
and
CD = BD [Property of Kite]
In ΔACD and ΔABD
AC = AB
and
CD = BD [Property of Kite]
AD = AD [Common]
By rule SSS Criteria [Side Side Side ]
ΔACD ≅ ΔABD
∴ ∠CDA = ∠BDA [CPCT]
Now,
In ΔCDE and ΔBDA
CD = BD
∠CDE = ∠BDE
DE = DE [Common]
By rule SAS Criteria [Side Angle Side]
ΔCDE ≅ ΔBDA
∴ CE = BE [CPCT]
Hence, AD bisects BC into equal parts
The missing reasons are
ΔCDA ≅ ΔBDA by SSS [side side side]
ΔCED ≅ ΔBED by SAS [side angle side]
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This season, the probability that the Yankees will win a game is 0.59 and theprobability that the Yankees will score 5 or more runs in a game is 0.43. Theprobability that the Yankees lose and score fewer than 5 runs is 0.3. What is theprobability that the Yankees win and score 5 or more runs? Round your answer to thenearest thousandth.
Answers
From the information given we conclude that the probability that the Yankees win and score 5 or more scores is 0.43
It is because of the description given in the problem.
May you tell me which equation you would choose to solve for one of the variables and explain please.
Answers
This is a simultaneous system of equations, we would need both equations, to solve for the variables.
we have
2x - 3y = 6 - ---i
x +7y = 2------ii
Let's modify equation ii, x +7y = 2 means x = 2 - 7y
Anywhere we see x in equation i, lets put in 2 - 7y instead
2( 2 - 7y) - 3y = 6
4 - 14y - 3y = 6
4 - 17y = 6
-17y = 2
y = -2/17
Lets put this result in equation ii
[tex]undefined[/tex]what is 2.939 radian measure to degree measure
Answers
The answer is 168.5 degrees
The oldest child in a family of four children is three times as old as the youngest. The two middle children are 19 and 23 years old. If the average age of the children is 28.5, how old is the youngest child?
Answers
Answer:
18 years old
Solution:
Let x represent the age of the youngest child.
So the age of the oldest = 3x
If the ages of the two middle children are 19 and 23, and the average age of the four children is 28.5, let's go ahead and find x;
[tex]\begin{gathered} \frac{(x+19+23+3x)}{4}=28.5 \\ 4x+42=114 \end{gathered}[/tex]Let's go ahead and subtract 42 from both sides;
[tex]4x=72[/tex]Dividing both sides by 4, we'll have;
[tex]x=\frac{72}{4}=18[/tex]Therefore, the youngest is 18 years old.
Solve the system using algebraic methods.
y = x² + 4x
y = 2x² + 3x - 6
Solution x =
Answers
Two or more expressions with an Equal sign is called as Equation. x is -6 and 7 for equations y = x² + 4x and y = 2x² + 3x - 6
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given two equations are
y = x² + 4x
y = 2x² + 3x - 6
Let us simplify these equations as below.
x² + 4x-y=0..(1)
2x² + 3x -y= 6..(2)
subtract equations (2) from (1)
x² + 4x-y-2x² - 3x+y=-6
-x² +x=-6
x(-x+1)=-6
x=-6
and -x+1=-6
Subtract -1 from both sides
-x=-7
x=7
Hence solution of x is -6 and 7 for equations y = x² + 4x and y = 2x² + 3x - 6
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Find the third side in simplest radical form: 25 24
Answers
Here, we want to get the length of the third side
Mathematically, we can get this by the use of Pythagoras' theorem
It states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be s
From the diagram, we have the hypotenuse as 25 (the hypotenuse is the longest side and it is the side that faces the right angle
We have this as;
[tex]\begin{gathered} 25^2=s^2+24^2 \\ s^2=25^2-24^2 \\ s^2\text{ = 625-576} \\ s\text{ = }\sqrt[]{49} \\ s\text{ = 7} \end{gathered}[/tex]Use the graph to find the horizontal asymptote of the rational function
Answers
Horizontal Asymptote
Observing the graph with the red dashed line, the horizontal asymptote of the function is at y = 6
Vertical asymptote
If we draw a line the graph we have the following
This indicates that the vertical asymptote is at x = 2.
Find the equation of the line containing the following: (0,10) and (-5,0)
Answers
A linear equation in the slope-intercep form is y = mx + b.
To find the equation, follow the steps below.
Step 01: Substitute the point (0, 10) in the equation.
[tex]\begin{gathered} y=mx+b \\ 10=m\cdot0+b \\ 10=b \end{gathered}[/tex]Then,
[tex]y=mx+10[/tex]Step 02: Substitute the point (-5, 0).
[tex]0=-5m+10[/tex]Subtract 10 from both sides:
[tex]\begin{gathered} 0-10=-5m+10-10 \\ -10=-5m \end{gathered}[/tex]And divide both sides by -5:
[tex]\begin{gathered} \frac{-10}{-5}=\frac{-5}{-5}m \\ 2=m \end{gathered}[/tex]Step 03: Write the linear equation.
[tex]y=2x+10[/tex]Answer:
[tex]y=2x+10[/tex]I have a question so yall can get points so Whats 1+1
Answers
answer needs at least 20 characters so here's ur answer 2
Step-by-step explanation:
thank u
Answer: 2
1 + 1 = 2
lol thanks for the points
Analyze the equations in the graphs to find the slope of each equation the y-intercept of each equation in the solution for the system of equations equation 1: y = 50x + 122
Answers
Given:
[tex]y=50x+122\ldots\text{ (1)}[/tex][tex]y=1540-82x\ldots\text{ (2)}[/tex]The general equation is
[tex]y=mx+c[/tex]m is a slope and c is the y-intercept.
From equation (1),
[tex]\text{Slope = 50 and y intercept is 122}[/tex]From equation (2)
[tex]\text{Slope = -82 and yintercept is }1540[/tex]From equation (1) and (2)
Substitute equation (2) in (1)
[tex]1540-82x=50x+122[/tex][tex]50x+82x=1540-122[/tex][tex]132x=1418[/tex][tex]x=\frac{1418}{132}[/tex][tex]x=44[/tex]Substitute in (2)
[tex]undefined[/tex]In the 1st generation, there are 6 rabbits in a forest. Every generation after that, the rabbit population triples. This sequence represents the numbers of rabbits for the first few generations: 6, 18, 54, What is the explicit formula for the number of rabbits in generation n?
Answers
You have the following sequence for the population of the rabbits:
6, 18, 54, ...
The explicit formula for the previous sequence is obtained by considering the values of n (1,2,3,..) for the first terms of the sequence.
You can observe that the explicit formula is:
a(n) = 6·3^(n - 1)
in fact, for n=1,2,3 the result is:
a(1) = 6·3^(1 - 1) = 6·3^0 = 6
a(2) = 6·3^(2 - 1) = 6·3^1 = 18
a(3) = 6·3^(3 - 1) = 6·3^2 = 6·9 = 54
which is consistent with the given sequence 6, 18, 54, ...
Kindly help by providing answers to these questions.
Answers
Graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information ,the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
As given in the question,
Graph represents proportional relationship is given by:
y = kx
⇒ k = y/x
Represents the multiplicative relationship between the variables y and x.
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
'k' is the scale factor represents the constant of proportionality.
2. Variable represents the constant of proportionality is k.
Therefore, graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
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7. Find the perimeter of the rectangle with length 33 yards and width 59 yards.A.92 ydB.1,947 ydC.125 ydD.184 yd
Answers
Solution
We are given
Length (l) = 33 yards
Width (w) = 59 yards
To find the perimeter
Note: Perimeter of a Rectangle
[tex]Perimeter=2(l+w)[/tex]Yoko plans to watch 2 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answers
Answer:
2m because 2 times the months will tell us how many she has watched for example in 2 months she will watch 4 because 2*2 is 4
f(x) = x + 4 and g(x) = x - 1Step 3 of 4: Find (f 3)(x). Simplify your answer.Answer(f)(x) =
Answers
For this problem, we are given two functions, we need to determine the composite between these two expressions.
The two functions are:
[tex]\begin{gathered} f(x)=x+4\\ \\ g(x)=x-1 \end{gathered}[/tex]This composite is the product of the two functions, therefore we have:
[tex]\begin{gathered} (f\cdot g)(x)=(x+4)\cdot(x-1)\\ \\ (f\cdot g)(x)=x^2-x+4x-4\\ \\ (f\cdot g)(x)=x^2+3x-4 \end{gathered}[/tex]The answer is x²+3x-4.
a. Rotate the letter W 180° around the origin. Then translate the image up 4 units. Draw the final image. What new letter did you form? b. Is the new letter congruent to the original letter? Explain.
Answers
ANSWER and EXPLANATION
We have letter W on the graph.
The cordinates of its vertices are:
(0, 4), (1, 0), (2, 2), (3, 0), (4, 4)
Now, on a cartesian plane, (x - y plane), we have 4 quadrants. The letter is on the first quadrant.
Because it rotates 180 degrees around the origin, it means that it mmoves by 2 quadrants:
So, it moves from quadrant 1 to quadrant 4.
The new cordinates become:
(0, -4), (-1, 0), (-2, -2), (-3, 0), (-4, -4)
Then it is translated 4 units up, so we add 4 units to each of the y values (Remember that cordinates are written as (x, y)):
(0, 0), (-1, 4), (-2, 2), (-3, 4), (-4, 0)
Now, plot those:
a) It forms the letter M.
b) For one shape to be congruent to another, it means that they have the same size. So, yes, the M is congruent to the W.
Do the side measures 35 mm, 53 mm and 70 mm create a triangle?Yes, there are infinitely many triangles that can be created.No, it is impossible to create a triangle with the given measures.Yes, there is a unique triangle that can be created.Yes, there are two triangles that can be created.
Answers
Hello!
Let's call these sides a, b, and c:
• a = 35mm
,• b = 53mm
,• c = 70mm
To be a triangle, it must satisfy the existence condition of triangles, that is:
Let's check each of them:
[tex]\begin{gathered} |b-c|Answer:
Yes! There are infinitely many triangles that can be created.
