Answer:
The answer is 50
6 Question 5 (5 points) Two masses, m and M. are placed along x-axis at a and b, respectively. Find the center of mass for the system (x, y). 9 (a+b)/2,0 12 0. (a+b)/2 15 O (am+bM)/2,0 (am+bM)/(m+M), O 18 O, (am+bM)/(m+M)
The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).
What is center of mass?
The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.
The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.
Centre of mass is
\(x=\frac{m a+M b}{m+M}\)
and y=0
\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
5. In a class of 31 students, 16 play football, 12 play table-tennis and 5 play both games. Find the number of students who play a) at least one of the game. b) none of the game.
b)3
16 + 12 = 28
31 - 28 = 3
b/c 5 people play both games we wont add them
Crystal has 25 lollipops. Angie has 12 more lollipops than Crystal.
How many lollipops do the girls have all together?
Answer:
Both the girls have 62 lollipops
Step-by-step explanation:
25+25=50
50+12=62
Answer:
62 lollipops
Step-by-step explanation:
If Angie has 12 more lollipops than Crystal...
25 + 12 = 37 lollipops
Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...
37 + 25 = 62 lollipops
Help help help help help help help
Answers:
3. 6
4. Length = 16, width = 8
5. Second option
Step-by-step explanation:
3.
price of toppings = 1.25 * number of toppings
\(15 = 7.50 + 1.25n \\1.25n = 7.50 \\n = 6 \\\)
4.
\(length = 2 * width \\2(w + l) = 48 \\2(w + 2w) = 48 \\2w + 4w = 48 \\6w = 48 \\w = 8 \\l = 2w = 2 * 8 = 16 \\\)
5.
\(\frac{8.31}{3} or \frac{12.95}{3}\)
\(2.77 or 2.59\)
\(2.59 < 2.77\)
Second option is better than the first
HELP FOR 40 POINTS PLEASE AND BRAINLIST
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?
After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
Answer:
the price of each pound of pretzels is 4.20
Step-by-step explanation
1 pound · \(\frac{10.50}{2.5 pound} = 4.20$\\\)
Answer:After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
Step-by-step explanation:
Roger has 117 pounds of apples. He puts the same number of pounds of apples in each of 6 crates. Which equation will give Roger the best estimate of the number of pounds of apples in each crate?
Answer:
117/6=19.5
I hope this helped :)
Answer:
6x = 117 - equation;19.5 pounds - best estimate.--------------------------
Let the number of pounds in each crate be x.
The total amount is 6x or 117 pounds. It is shown as an equation:
6x = 117Solve it to find the best estimate:
x = 117/6x = 19.5Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?
Answer:
She still has 60%
Step-by-step explanation:
First you make the 25 a 100 which is basically multiply by 4 which you should do the same for 10
so 40/100 is how much she game away
She gave away 40%
She still has 60%
The percent of the roses does Ally still have is 60%.
Given that,
Ally picked 25 roses. She gave away 10 roses.
Based on the above information, the calculation is as follows:
\(= \frac{25-10}{25}\)
= 60%
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I need help answering the second one. please i really need to pass my final and this is extra credit.
Karl is a basketball player whose height is 76in. His team’s mean height is 79.5 in.
a) What is Karl’s z-score?
b) What percent of players in the team are shorter than Karl?
। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay
Answer:
Factorizing 4x2 - 9y2, we get
(2x)2 - (3y)2, by using the identities of a2 - b2.
= (2x + 3y) (2x - 3y)
Step-by-step explanation:
Solve the equation for x.
√x+5 -1 = 2
Answer:
Step-by-step explanation:
Equation
√(x + 5) - 1 = 2 I take it that you want the 5 to be with the x.
Solution
√(x + 5) - 1 = 2 Add 1 to both sides
√(x + 5) - 1 +1 = 2 + 1 Combine
√(x + 5) = 3 Square both sides
√(x + 5)² = 3² Combine
x + 5 = 9 Subtract 5 from both sides
x + 5- 5 = 9- 5
x = 4
Answer x = 4
Solve the problem.
A landscaping team plans to build a rectangular garden that is between 240 yd² and 360 yd2 in area. For aesthetic reasons, they also want the
length to be 1.2 times the width. Determine the restrictions on the width so that the dimensions of the garden will meet the required area. Give exact
values and the approximated values to the nearest tenth of a yard.
The restrictions on the width is that it must be between 14.1 yards and 17.3 yards
How to determine the restrictions on the widthFrom the question, we have the following parameters that can be used in our computation:
Area = between 240 yd² and 360 yd²
Also, we have
Length = 1.2 times the width
This means that
l = 1.2w
The area is then calculated as
Area = lw
So, we have
Area = 1.2w²
This means that
240 < 1.2w² < 360
Divide through by 1.2
200 < w² < 300
Take the square roots
14.14 < w < 17.32
Approximate
14.1 < w < 17.3
Hence, the width must be between 14.1 yards and 17.3 yards
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HELP
The width of a rectangle is 3 less than twice the length. Find the length and width if the perimeter is 10 cm.
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
\(V=\frac{l^2h}{3}\)
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for \(l\) in the last equation:
\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)
and now, we substitute the known values:
\(V=19,200ft^3\\h=36ft\)
and we get the following:
\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)
the length of the square base is 40ft
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Find the slope between (-9,3) and (7,-1).
Answer:
\(m=\frac{-1}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-9, 3)
Point (7, -1)
Step 2: Find slope m
Substitute: \(m=\frac{-1-3}{7+9}\)Subtract: \(m=\frac{-4}{16}\)Divide: \(m=\frac{-1}{4}\)Answer:
slope=-1/4
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the coordinates
-1-3/7--9
two negatives equal a positive so.......
-1-3/7+9
-1-3=-4
7+9=16
-4/16
simplify
-1/4
-|8-15| what is the answer
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's weight would still be 1/4 pound less than he did in January. What is Euclid's weight? (a) Write an equation that represents the scenario. Begin by defining your variable (b) Solve the equation. Show your work. (c) What is Euclid's weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined 1 pounds. What is Riemann's weight, and what is Pythagoras's weight? weight of the three dogs is Show your work.
The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.
Let the current weight of Euclid = xLet the current weight of Pythagoras = TLet the January weight of Pythagoras = yThe expression that represents the given scenario is written as;
when Pythagoras lost 13 pounds: T = y - 13when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2xwhen Pythagoras weight is 1/4 pound less than weight in January:
T + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
Euclid's weight is calculated as follows;
1.2x = 12.75
\(x = \frac{12.75}{1.2} \\\\x = 10.625 \ pounds\)
The weight of Riemann is calculated as follows;
\(= 2 (10.625)\\\\= 21.25 \ pounds\)
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Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point.
What’s the probability that he missed his first serve given he won the point?
answer choices
0.3000
0.37
0.63
If we randomly choose a point on which Federer served and get distracted before seeing his first serve but look up in time to see Federer win the point , then the probability that he missed his first serve given he won the point is (a) 0.3000
To calculate the probability that Federer missed his first serve given that he won the point, we Let , event A is = Federer missed his first serve and
event B is = Federer won the point.
So, probability of Federer missing his first serve = (100-63)% = 37% = 0.37,
probability of Federer winning point given he missed his first serve= 57%.
⇒the probability he first serve and misses point = (0.37)(0.57) = 0.2109 .
The probability of Federer winning the point, regardless of whether he made his first serve or not, can be calculated as
⇒ (0.63)(0.78) + (0.37)(0.57) = 0.7023 .
So , the probability of Federer missing his first serve given that he won the point is 0.2109/0.7023 = 0.300 .
The given question is incomplete , the complete question is
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point.
What is the probability that he missed his first serve given he won the point?
(a) 0.3000
(b) 0.37
(c) 0.63
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help please quick 100 points quick tell me what to write please if you now how to do this
Answer:
8 footballs
18 basketballs
36 baseballs
24 softballs
Step-by-step explanation:
Let f = footballs
f = 8
Let b = basketballs
b = 2+2f = 2 +2(8) = 2 +16 = 18
Let B = baseballs
B = 5f -4 = 5(8) -4 = 40-4 = 36
Let s = softballs
s = 6+1/2B = 6+1/2(36) = 6+18 = 24
The total is 86
f+b+B +s = 86
8+18+36+24 = 86
86=86
There are 8 footballs.
Two more than twice the number of footballs are basketballs:
2f + 2 = b
f = number of footballs
b = number of basketballs
In the first statement, there are 8 footballs. So, f = 8
2(8) + 2 = b
16 + 2 = b
18 = b
Therefore, there are 18 basketballs.
Four less than 5 times the number of footballs are baseballs:
5f - 4 = a
f = number of footballs
a = number of baseballs
In the first statement, there are 8 footballs. So, f = 8
5(8) - 4 = a
40 - 4 = a
36 = a
Therefore, there are 36 baseballs.
Six more than half of the baseballs are softballs:
a/2 + 6 = s
a = number of baseballs
s = number of softballs
In the third statement, there are 36 baseballs. So, a = 36
(36)/2 + 6 = s
18 + 6 = s
24 = s
Therefore, there are 24 softballs.
Best of Luck!
Jason buys 2 baseball bats for $300. What is the unit rate per bat
Answer:
150
Step-by-step explanation:
150 x 2 = 300 no?
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
What is the slope of the line that passes through the point (7,-4) and (11,-4)? Write your answer in the simplest form.
The slope of the line that passes through the points (7,-4) and (11,-4) is 0.
The slope of a line is found by using the formula:
slope = (change in y)/(change in x)
To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point:
-4 - (-4) = 0
To find the change in x, subtract the x-coordinate of one point from the x-coordinate of the other point:
11 - 7 = 4
Now we can use the formula to find the slope:
slope = 0/4 = 0
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1. The graph shows the number of miles Peter's car traveled and the gallons of gas used.
MILEAGE OF PETER'S CAR
160
140
120
100
Milco Traveled
BO
(5, 1201
60
40
20
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
slope =¥
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas?
A. d = 169
B. d=209
cd=249
D. d = 309
Slzo
28
10
Answer:
C. d = 24g
Step-by-step explanation:
The problem boils down to determining the ratio between d and g. That is, for some equation ...
d = k·g
we want to determine the value of k. Solving the equation for that value, we find ...
k = d/g
So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.
(gallons, miles) = (g, d) = (5, 120) is a suitable point
Then ...
k = d/g = 120/5 = 24
The equation is d = 24g.
A cylinder has a base diameter of 20 meters and a height of 5 meters. What is its
volume in cubic meters, to the nearest tenths place?
Volume = PI x r^2 x h
r -s 1/2 the diameter ( 20/2 = 10)
Volume = 3.14 x 10^2 x 5
Volume = 3.14 x 100 x 5
Volume = 3.14 x 500
Volume = 1570 cubic meters
The answer is 1570.8
Help please.....its due today
Solve for x:
8x - 3 = 5(2x + 1)
A. X=-4
B. x= -2
OC. x=1
D. x = 9
Help quick!!
Answer:
A. X= -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10×+5
-3=2×+5
-8=2x
x=-4
Answer:
A: x=-4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 10x + 5
-3 = 2x + 5
-8 = 2x
x = -4