A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
What we must do is calculate the area before and after making the diameter cut.
The area of a circle is equal to:
a = pi * r ^ 2
now the diameter is equal to:
d = 2 * r
therefore r,
r = d / 2
before the cut would be
r = 96/2
r = 48
replacing in the area formula
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:
r = 88/2
r = 44
now calculating the new area would be:
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
means that the area decreases by 1155.52 square meters
What is the interquartile range of this data set? Enter your answer in the box
From the stem and leaf plot, we get the following data points-
10, 23, 23, 28, 33, 45, 80, 90
First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.
The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.
Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.
Hence we get Q2 = (28 + 33) / 2 = 30.5.
Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.
Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.
Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.
So, the interquartile range is 39.5.
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The weights (in ounces) of several moon rocks are shown in the table. Find the mean, median, and mode of the weights. Moon Rock Weights (ounces) 2.2 2.2 3.2 2.4 2.8 3.4 2.6 3.0 2.5
Answer:
the mode that repeats the most is 2.2 becuase to find it you need to find the number that repeats the most in the table. To find the median you add all the numbers and divide them to get the answer that is 2.7 for the mean but to find the median you need to order them from least to greatest and the answer you get for the median is 2.6 so hopefully that is the correct answer for all of them.
Step-by-step explanation: Mark me brainliest please if you want and see you next time :DDDDDDDDD
EDIT: NOT MAX POINTS REMAKING QUESITON
Answer:
:what is the question
July bought 16 quarts of vinegar for $10.40. How much did she pay for 1 quart of vinegar?
Answer:
1.53$
Step-by-step explanation:
Do the equation 16 / 10.40 = 1.53.
pls give brainliest
What is spark addition?
Answer:
spark addition is a left to right addition
The following shape has 1 pair of parallel sides.
What is the area of the shape?
Answer:
57
Step-by-step explanation:
There's three shapes, 2 triangles and 1 rectangle.
1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.
2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.
3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.
4. 8*8 is 64, and dividing that by 2 is 32.
5. Add all of the numbers: 10+15+32, which is 57.
The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,
Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A = 1/2 × 8 inches × 8 inches
= 32 inches²
Area of rectangle = Length × Breadth
= 5 inches × 2 inches
= 10 inches²
Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B = 1/2 × 5 inches × 6 inches
= 15 inches²
Further, the total area of the shape can be written as,
Total area = 32 inches² + 10 inches² + 15 inches²
= 57 inches²
Hence, the total area of the given figure is 57 inches².
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what is reflection and reflected
Answer:
Reflection is every point is the same distance from a central line
Reflected is a transformation representing a flip of a figure
Step-by-step explanation:
Sorry!!!!
Which of these is a pair of adjacent angles?
Answer:
C.
Step-by-step explanation:
Suppose the probabilities for the letters on a spinner are known to be: p(A)=1/4 p(B)=1/3 p(C)=5/12 predict the number of times you would land on each letter if you were to spin the spinner 12times
Answer:
you'd land on A 3 times, on B 4 times, C 5 times
Step-by-step explanation:
you simply have to divide 12 by each of the values
so basically:
A= 12 : 4
B= 12 : 3
C= Well it's 5 out of 12 so the answers already there
. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
(1 point)
A equals 18 meters squared
A equals 24 meters squared
A equals 15 meters squared
A equals 22 meters squared
18m^2
area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height
(4+8)/2 * 3
= 12/2 * 3
= 6 * 3
= 18
3a-2b=50, 2a+3b=100 what does a equal and what does b equal?
Answer: I got A is 350 over 13 and B is 400 over -13
Step-by-step explanation:
Hope this helps!
James had 25% more paper clips than Andy. Mary had 70 paper clips. If the three of them had 520 paper clips altogether, express Mary's paper clips as a percent of Andy's paper clips.
Answer:
Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.
Given to us
Number of Paper clips Initialy= 72
Number of Paper clips now = 63
We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.
\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=
Initial value
Initial value −final value
×100
Substitute the value,
\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =
Initial value
Initial value −final value
×100
\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}
The percentage change in the paperclip
=
72
72−63
×100
=12.5%
Hence, the percentage change in the number of paper clips is 12.5%.
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Step-by-step explanation:
THIS ANSWER IS CORRECT
BRAIN LESS ANSWER
find the value of x in the equation without evaluating the power
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])
we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.
what we can do is the following:
[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]
[tex]3^?[/tex] = 729
If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]
We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]
[tex]? \times log 3 = log 729[/tex]
[tex]? = \frac{log\ 729}{log\ 3}[/tex]
? = 6 (with a calculator)
This means that to get 729, we need to do [tex]3^6[/tex]
Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]
We can now solve the equation!
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]
Since each term of our equation has the same base of [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!
We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]
Using this rule:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...
[tex]2 + x = 6[/tex]
[tex]x = 6 - 2 = 4[/tex]
A table has a wooden support that is in the approximate shape of a cone. The base of the cone has an area of about 201.1 square inches. If the volume of the cone is about 2,144.7 cubic inches, what is the height?
Answer choices:
A)
28 in.
B)
30 in.
C)
32 in.
D)
40 in.
The height of a cone with a volume and base area of 2,144.7 cubic inches and 201.1 square inches respectively is 32 inches
How to find height of a cone using the volume formula?volume of a cone = 1 / 3 πr²h
where
r = radiush = heightTherefore,
volume of the cone = 2,144.7 cubic inches
Base area = 201.1 square inches.
πr² = Base area
Therefore,
2144.7 = 1 / 3 × 201.1 × h
6434.1 = 201.1 h
h = 6434.1 / 201.1
h = 31.9945300845
h = 32 inches
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At the bottom is a completed addition problem with all the digits replaced by letters. Every letter represents a single digit and different letters represent different digits. What digit might the letter T represent?
MH+ MH+ MH = TM
Please Help ASAP
BRAINLIEST
Sanjay called random phone numbers in his state until he reached 1,000 people. Among those who answered the phone, 385 consented to participate in Sanjay's survey.
Is this a random sample of the people in the state?
Answer as Yes or No
Answer: NO
Step-by-step explanation:
This is because if you think about it, only the people that want to do the survey do it. Those who dont want to do it dont have to. This makes it voluntary. Any time the surveyed person gets to choose if they can do it it is voluntary. Furthermore, If it is voluntary it can usually represent all of the different peoples. But in this case, the shy people dont get a say because they would choose to not survey. So the shy people would not be represented. That is why this isn't random.
GIVING BRAINLIEST AND 100 POINTS!!!
Complete the pattern on the table for the cost of 0, 1, 2, and 3 ice cream treats. Then write the ordered pair for each row.
Answer:
I need the table, if you give the table ill answer it right away.
Step-by-step explanation:
can you help please thank you
Answer:
1) y=3 (0,3)
2) y=7 (4,7)
3) y=8 (5,8)
4) y=9 (6,9)
Step-by-step explanation:
These are the answer because you are just adding 3 to the x coordinate which will be the number for the y coordinate.
100 Points!
Use the function f(x) to answer the questions:
f(x) = 4x2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
Answer:
Give the other guy brainliest
Step-by-step explanation:
Part A: The x-intercepts are (-5/4, 0) and (3, 0)
0=4x^2-7x-15
0=4x^2-12x+5x-15
0=4x(x-3)+5(x-3)
0=(4x+5)(x-3)
Basic math:
x=-5/4
x=3
Part B: The vertex is going to be minimum because if a>0, then the parabola opens up and it is a minimum (a as in ax^2+bx+c).
In order to find the vertex's coordinates, we can use -b/2a. In the equation, b=-7, and a=4. The formula would look like or 7/8. We now know the x coordinate. We can use that to find the y value.
y=4(7/8)^2-7(7/8)-15=y=18 =-18.0625=289/16
Part C: Graph the x-intercepts found in part A, then graph the vertex found in part B. Then graph a U shape that opens up going through all the points to make the parabola. Because it is positive, the U will face up, not down.
Devon studied 2 pieces by each modern artist featured in the museum. Each artist has the same number of works in the museum.
Is this sample of the work of the museum's modern artists likely to be biased?
Answer Yes or No
Find the measure of angle six
The line plot below shows the heights of flowers grown by the students in one of the fifth grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Which is the combined height of the flowers Persia uses?
A. 59 3/4 inches
B. 61 1/2 inches
C. 62 1/4 inches
D. 63 1/4 inches
The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Then the combined height of the flowers Persia uses will be
→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10
→ 61.25
The number 61.25 can be written as
→ 61 and 1/4 inches
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Math help!
77-999+6 divided by 2 =
Scooby and Shaggy have a new job!
answer: x < 8
Step-by-step explanation: the inequailty is 100 + 7.55x < 160 if you subtract 100 on both sides you get 7.55x < 60 divide 7.55 you should get 7.947 which rounds up to 8 so your answer would be x < 8
18/10 more than a number of x is equal to 29/5
The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].
Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].
Solution
According to the question,
[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]
As a result, the value of [tex]x[/tex] is [tex]4[/tex].
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Please help! -The volume inside a rectangular storage room is 2,052 cubic feet. The room is 9 feet high. Find the area of the floor.
Answer:
volume=Length x width x height
so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.
Step-by-step explanation:
Answer:
227 square feet
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
Filling in the given information, we have ...
2043 ft³ = B·(9 ft)
Dividing by the coefficient of B gives its value:
B = (2043 ft³)/(9 ft) = 227 ft²
The area of the floor is 227 square feet.
I hope this helped have a great day
A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?
Answer:
9/41+10/41 which is 19/41
Step-by-step explanation:
If its right, mark me as brainliest
The committee spends $640 dollars on spotlights.
Create an equation that can be used to find x, the number of spotlights the committee rented.
Answer:
32 spot light
Step-by-step explanation:
lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32
The area of Russia is about 1.71 x 107 square kilometers. The area of Jamaica is about 1.10 x 104 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places.
Answer:
2 x 10^3 times
Step-by-step explanation:
-lukelaws
I hope I helped if I did please mark me brainliest!