Answer: 1676.4
Step-by-step explanation:
Drawing the segments from the center \(F\) to each vertex forms 6 triangles, each with a base of 25.4 and a height of 22.
Thus, the total area is \((6)(1/2)(25.4)(22)=1676.4\)
Meg skateboards One-fourth of a mile in One-half of an hour. At this rate, how far will she skateboard in an hour? StartFraction 1 over 8 EndFraction of a mile One-fourth of a mile One-half of a mile Three-fourths of a mile
Answer:
1/2 Mile In 1 Hr. or 0.5 MPH
Step-by-step explanation:
Since we know 1/4 is in 30x
1 hr = 60x
1/4 = 30x and we're looking for 60x -->
Simply we multiply 1/4 by 2 giving us 2/4
--> simplify and we have 1/2
Final: 1/2
Hope this helps!
Suppose that the nation of Micronesia decides to participate in the international trade of timber. 1. Shift the line representing the world price in a way that results in Micronesia exporting timber. 2. Adjust the shaded area so that it correctly represents producer surplus for Micronesia\'s firms once the country is open to international trade.
The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.
What is area?The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.
To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.
Shift the world price line upward to a point where it intersects with Micronesia's supply curve.
This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.
To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.
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Assuming that no one is born on Feb. 29 (leap day), how many people should be selected to guarantee that at least 4 were born on the same day, not considering the year?
On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.
The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.
Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.
So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.
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3(-4x - 5) = 8x + 25
Answer:
answer is -2
Step-by-step explanation:
3(-4x - 5) = 8x + 25
-12x - 15=8x + 25
-12x - 8x = 25 + 15
-20x = 40
-20. -20
X = -2
Answer:
x = -2
Step-by-step explanation:
-12x-15 = 8x + 25
-12x = 8x+ 40
-20x = 40
x = -2
Karen wants to buy 5 pounds of baby carrots. The packages of carrots each weigh14 ounces. How many will she need to buy to reach 5 pounds
Answer:
I think it's 70
Step-by-step explanation:
if this is multiplication I just did 14x5 if it's wrong or someone want to correct me pls do or pls tell me thank you have a great day!
Answer:
6 packages
Step-by-step explanation:
First, let's list an important conversion. 1 pound = 16 ounces.
For the sake of this explanation, and because I think this is mathematically easier to deal with, we are going to be dealing in ounces.
So, step one, convert 5 pounds to ounces. For this, we just multiply 5 by 16 to get 80.
Now, we know each package of carrots weighs 14 ounces each. Since we need to see how many times 14 goes into 80 (remember, 80 is the same as 5 pounds), we use division.
80/14 = 5
But, hey! You can/t buy 5/7ths of a package. So we need to buy an ENTIRE EXTRA PACKAGE just to make up for it.
So we round our number up to 6.
( i got this from another girl, hope this helps)!
A rate written as 80 miles per hour is an example of a
Can somebody help me. Will mark brainliest.
Answer:
4) in question it should be triangleMNP and NOP
reason by SSS axiom
5) reason is as the angles of congurent triangles are equal)
State whether the following measures can be side lengths of a triangle.
3, 5, 8
O Yes
O No
No, these lengths do not form a triangle.
Any two triangle sides' lengths added together are longer than the third side.
In a triangle of side a, b and c
a+b>c
a+c>b
b+c>a
From the question, we have
3+5 =8
These lengths do not form a triangle.
Addition:
When we refer to "the addition," we mean combining two or more numbers. Three is written as three plus three since adding two integers is denoted by the plus sign (+). You can also decide how frequently the additional sign (+) is used. like 3 + 3 + 3 + 3. Children's education must include instruction in addition in mathematics. In the primary grades, students are taught one-digit facts, arithmetic addition sums, and double-digit math addition sums. For elementary school pupils, sums in addition are one of the most fundamental and intriguing Math concepts. Due to the appeal of arithmetic, children begin learning basic concepts like adding numbers in their early years.
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Please help me with this homework
Answer:
36 cm²
Step-by-step explanation:
Area of a triangle = 1/2bh = 1/2(9)(8) = 36
Solve the equation. Check your solution. a/4 - 5/6= -1/2
Answer:
a= 4/3
Step-by-step explanation:
1.) Simplify both sides of the given equation:
1/4a + -5/6 = -1/2
2.) Add the 5/6 to both sides (cancels the -5/6)
1/4a + -5/6 (+5/6) = -1/2 (+5/6)
1/4a = 1/3
3.) Multiply both sides by 4 (the denominator)
4 * 1/4a = 1/3 * 4
a = 4/3
To check the solution, plug in 4/3 into a:
4/3/4 - 5/6 = -1/2
2.) Dividing fractions is also multiplication:
(4/3 * 1/4) - 5/6 = -1/2
3.) Get the difference of 1/3 and 5/6
1/3 - 5/6 = -1/2
4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)
-3/6 = -1/2
5.) Check to see if both sides match
-1/2 = -1/2
What is mZB?
B
51°
Help please
Answer:
∠B = 78°
Step-by-step explanation:
since it is an isosceles triangle, ∠C = ∠A = 51°
∠B = 180° - 51° - 51° = 78°
Answer: B = 78
Step-by-step explanation:
The triangle is isosceles which means that two of its sides are equal. The rule is that since two sides are equal the angels opposites to these sides are equal to each other as well. This means that angle C equals 51 as well. We know that the triangle angles at up to 180 so then m of angle b is equal to 180 - (51 + 51)
= 180 -102
= 78
Please answer number 3???
Four times a number plus three times the number is the same as 14 more than
5 times the number. Find the number.
Answer: Number equals 7
Step-by-step explanation:
4x+3x=5x+14
7x=5x+14
-5x -5x
2x=14
x=7
slope= -3/2; passes through (-4,7)
Answer:
your very welcome!
Step-by-step explanation:
2
passes through (4,7) slope is 2
On a field trip there are 3 chaperones for every 20 minutes. How many children are there?
Answer:that doesn’t seem possible to figure out
Step-by-step explanation:
?
given f(x)=4x+1 describe how the graph of g compares with the graph of f. g(x)=(4x+1)+3
The description of the graph of function g(x) is 3 units translation up
How to describe the graph of function g(x)?The equations of the functions are given as
f(x) = 4x + 1
g(x) = (4x + 1) + 3
Substitute f(x) = 4x + 1 in the equation g(x) = (4x + 1) + 3
So, we have
g(x) = f(x) + 3
The above rule implies that:
The function g(x) is a translation of the function f(x)
The unit of the translation is 3 and the direction of the translation is up
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diamond and trevor both have a six-sided dice. the sides of their dice are displayed below: assuming that their dice are both fair (equally likely to land on each side). find the theoretical probability of rolling each value. write your answers as percentage correct to two decimal places. % % % when diamond rolls her dice 1280 times, she rolls a one 217 times, a two 425 times, and a three 638 times. find the experimental probability of rolling each value. % % % based on the law of large numbers, could you reasonably assume that the dice diamond has is a fair dice (equally likely to land on each side)? no yes when trevor rolls his dice 1280 times, he rolls a one 888 times, a two 313 times, and a three 79 times. find the experimental probability of rolling each value. % % % based on the law of large numbers, could you reasonably assume that the dice trevor has is a fair dice (equally likely to land on each side)? no yes
A. Theoretical probability of rolling each value for both Diamond and Trevor is 16.67%.
The experimental probability of rolling each value for Diamond is 16.95% for one, 33.20% for two, and 49.84% for three.
The experimental probability of rolling each value for Trevor is 69.38% for one, 24.45% for two, and 6.17% for three. Based on the Law of Large Numbers, Diamond's dice can be assumed to be fair, but Trevor's dice cannot be assumed to be fair.
The theoretical probability of rolling each value for both Diamond and Trevor is 1/6 or 16.67%. To find the experimental probability for Diamond, we divide the number of times each value was rolled by the total number of rolls and multiply by 100%. For example, the experimental probability of rolling one is (217/1280) x 100% = 16.95%.
Based on the Law of Large Numbers, which states that the sample mean will approach the population mean as the sample size increases, we can reasonably assume that Diamond's dice is fair.
However, Trevor's dice cannot be assumed to be fair because the experimental probability of rolling each value is significantly different from the theoretical probability, indicating a potential bias in the dice.
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Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area
Answer:
Area = L x B
= 5m x 4m =20m square
Can somone answer my question please: 3cm squared onverted to 100mm squared = 300cm squared?
Answer:
hi you can solve this sum by 4×side formula
Step-by-step explanation:
plz solve and check you equation
1. For the parallelogram, find coordinates for P without using any new variables.
(a – c, c)
(c, a)
(a + c, b)
(c, b)
The coordinate of the point P of the parallelogram will be (a + c, b). Then the correct option is C.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points.
The coordinate of the points of the parallelogram is given below.
(0, 0), (c, 0), and (a, b)
The coordinate of the point P is given as,
The height of point P is the same as the height of points (a, b). Then the ordinate of point P will be b.
And the abscissa of point P is given by the sum of the abscissa of the points (c, 0), and (a, b). Then we have
x = a + c
The coordinate of the point P of the parallelogram will be (a + c, b). Then the correct option is C.
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Raise to the power:
(10xy)^2
According to data from the U.S. Census Bureau for the period 2000–2007, the number of male students enrolled in high school in the United States can be approximated by the function m(x) = −0.002x^3 +0.02x 2 +0.039x +6.11 where x is the number of years since 2000 and m(x) is the number of male students in millions. The number of female students enrolled in high school in the United States can be approximated by the function m(x) = −0.004x 3 +0.019x^2 +0.145x +5.78 where x is the number of years since 2000 and m(x) is the number of female students in millions. Estimate the total number of students enrolled in high school in the United States in 2007.
Answer:
13.031 millionsStep-by-step explanation:
Number of male students in 2007:
m(7) = −0.002*7^3 + 0.02*7^2 + 0.039*7 + 6.11 = 6.677Number of female students in 2007:
m(7) = −0.004*7^3 + 0.019*7^2 + 0.145*7 + 5.78 = 6.354Total number of students enrolled in hight school in 2007:
6.677 + 6.354 = 13.031 millionsSuppose you deposited $14,000 in a bank account that pays 5.25% with dally compounding based on a 360− day year. How much would be in the account after 8 months, assuming each menth has 30 days? Select the correct answer. 1. $14,494.34 2. $14,507,24 =$14,498.64 1. $14,502.94 ถ. $14,511,54
The correct option is $14,498.64,would be in the bank account after 8 months, assuming each month has 30 days.
We have:
The principal amount= P = $14,000,
The annual interest rate= R = 5.25%,
The time period for which the interest is calculated= T = 8 months ,
Days in the year= d = 360 ,
Days in a month= m = 30
Using the compound interest formula, the future value of the account after 8 months is given by:
A = P(1 + (R/d))^(dT/m)
A = $14,000(1 + (5.25/360))^(360*8/30)
A = $14,000(1.00014647)^9.6
A = $14,498.64
Hence, the correct option is $14,498.64.
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You move up 7 units and down 6 units. You end at (5,-3). Where did u start?
Find the area of the shaded figure below. Round your answer to one decimal place.534Provide your answer below:square units712
ANSWER
Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).
EXPLANATION
Given:
Rectangle with length = 12 and breadth = 7.
Semi-Circle with diameter = 4
Desired Outcome:
The area of the shaded region.
Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.
Determine the Area of a semi-circle
Area of a semi-circle is half of the area of a circle
\(\begin{gathered} Area\text{ \lparen semicircle\rparen= }\frac{1}{2}\pi r^2\text{ \lparen where r = }\frac{d}{2}\text{ = 2\rparen} \\ \text{ = }\frac{1}{2}\times3.142\times2^2 \\ \text{ = 6.284 unit}^2 \end{gathered}\)Area of the Rectangle
\(\begin{gathered} Area\text{ \lparen rectangle\rparen = L}\times B \\ \text{ = 12}\times7 \\ \text{ = 84 unit}^2 \end{gathered}\)Determine the area of the shaded figure
\(\begin{gathered} Area\text{ \lparen shaded\rparen = Area \lparen rectangle\rparen - Area \lparen semicircle\rparen} \\ \text{ = 84 - 6.284} \\ \text{ = 77.716 unit}^2 \end{gathered}\)Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).
Which statement correctly compares the angles?
Angle G is congruent to angle P.
Angle G is smaller than angle P.
Angle G is larger than angle P.
Angle G is congruent to angle N.
Answer:
its B
Step-by-step explanation:
well...you can see it XD
Answer:
Yepp B is correct on Edge
Step-by-step explanation:
If the numbers represented one-way mileages for trails to different lakes, which average(s) would make sense?
The harmonic mean would give equal weight to both of these trails, despite their different distances.
The harmonic mean would make the most sense when calculating the average one-way mileages for trails to different lakes. When it comes to calculating the average of one-way mileages for trails to different lakes, it's important to choose the appropriate type of average based on the nature of the data.
In this case, since we're dealing with mileages, one-way distances, and travel times, the best option would be the harmonic mean. The harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of a set of numbers. In other words, it's a weighted average of the reciprocals of the numbers.
This type of average is useful in situations where rates, speeds, or frequencies are involved. In this case, the harmonic mean would be the most appropriate choice for calculating the average one-way mileage for trails to different lakes because it takes into account the fact that distances and travel times are inversely related.
For example, if one trail has a distance of 10 miles and a speed of 2 miles per hour, it will take 5 hours to travel that distance. On the other hand, if another trail has a distance of 20 miles and a speed of 4 miles per hour, it will also take 5 hours to travel that distance.
Therefore, the harmonic mean would give equal weight to both of these trails, despite their different distances.
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The graph below represents the amount of water in a pool over a period of 5 hours.
Place the tiles in the order that best interprets
the information shown in the graph.
1. It starts raining and the pool fills with more water
2. The pool drain is completely clogged and does not drain any water.
3. The pool drain is slightly clogged and the pool drains water at a slow rate
4. The pool drain is cleaned and drains water at a quick rate
The correct order of given information is 3, 2, 1 and 4.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, the given graph represents the amount of water in a pool over a period of 5 hours.
Here, the order of given information is
The pool drain is slightly clogged and the pool drains water at a slow rate.The pool drain is completely clogged and does not drain any water.It starts raining and the pool fills with more water.The pool drain is cleaned and drains water at a quick rateTherefore, the correct order of given information is 3, 2, 1 and 4.
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Which table matches the equation y= 8x + 20
Answer:
The first table
Step-by-step explanation:
x y
7 76
10 100
13 124
16 148
HOPE THIS HELPS :)
x+3y-z=2
x+y-z=0
3x+2y-3z=-1
Answer:
add the like terms if there's no like the answer will be 3x+2y-3z=-1