Answer:
47.065
Step-by-step explanation:
The formula for area of a circle is A = πr^2
Since the diameter is double the radius, divide 3 in half to get 1.5.
Then plug your numbers into the equation and remember to start with exponents.
3.14 x 1.5^2 or 3.14 x (1.5 x 1.5)
Answer:
7.07 cm
Step-by-step explanation:
Area of a circle = πr²
{diameter = 3 cm ; radius = 3/2 = 1.5 cm}
πr²
= 3.14 x (1.5)²
=3.14 x 2.25
= 7.07 cm (approx)
What reasons can be given for the steps in solving the equation for x ?
The reasons for the steps are given below.
The value of x is -4.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
-2(4x + 3) = 26
[ The distributive property of multiplication over addition ]
-2(4x) + -2(3) = 26
-8x - 6 = 26
[ Adding 6 on both sides ]
-8x - 6 + 6 = 26 + 6
-8x = 32
[ Divide -8 into both sides ]
-8x/-8 = 32/-8
x = -4
Thus,
The reasons for the steps are given above.
x = -4
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mrs. watson is buying vintage records for a friend at a local records shop. Thre price of a record is based on its condition. The table shows the total cost of x number of records for each condition.
The equation for total cost of buying and shipping the records is
76.4x + 80
We have,
She buys 3 in good condition
So, the cost for 3 good condition
= 3 (10.5x)
= 31.5 x
and, She buys 1 in Fair condition
So, the for 1 fair condition
= 5x
and, She buy 2 new condition then the price is
= 39.9 x
So, the equation for total cost of buying and shipping the records is
= 31.5x + 5x + 39.9x + 8
= 76.4x + 8
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Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of and center of dilation (0,0)
The dilated polygon image is attached below under a dilation with a scale factor of 3 and center of dilation (0,0)
What exactly is a polygon?In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges. A polygon's sides are also known as its edges. The vertices (or corners) of a polygon are the points where two sides meet.
What is transformation and dilation?Transformation is the movement of a point from one location to another. Transformations include rotation, reflection, translation, and dilation.
Dilation is the process of increasing or decreasing the size of a figure by a factor k. If a point A(x, y) is dilated about the origin by a factor k, the new point is A' (kx, ky).
Assume the polygon has vertices at A(0, 0), B(3, 3) and C. (-3, 3). If the polygon is dilated by a factor of three with the center of dilation at (0, 0), the new vertices are as follows:
A'(0,0), B'(1, 1) and C'(-1, 1)
Therefore, the polygon graph is attached in which the polygon is dilated by a factor of three with the center of dilation at (0, 0),
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20x-36y factor it
plslslslsl
Answer:
4(5x - 9y)
I hope this helps!
Answer:
4(5x-9y)
Step-by-step explanation:
20x-36y
20 and 36 is divisable by 4,
20/4=5
36/4=9
4(5x-9)
A group of people surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table
The value that will be in the blank would be = 165
The percentage that will like to run that prefer summer = 60%
What percentage would prefer to run in summer?On the given table, the total amount of individuals in each column should be the same.
Therefore, for the bike column = 231 + 87 = 318
Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.
To find the percentage that will like to run that prefers summer, the following is carried out;
The number of people that will like to run = 231
The number of people that will like to bike = 153
Total = 153+231 = 384
Therefore percent = 231/384×100/1
= 23100/384
= 60%
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Which triangle is similar to △JKH?
1. △MKN
2. △JOG
3. △MQL
4. All triangles are similar to △JKH
Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN
What are similar triangles in geometry?Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.
The given parameter is Line a is parallel to Line b, which gives: a║b
Two triangles are similar if they satisfy the following conditions:
Two angles in one triangle are equal to two angles in the other triangle.Each of the three corresponding sides of the two triangles are proportional.Two sides of one triangle are proportional to the corresponding two sides on the other triangle, and the included angle between the specified two sides in both triangles are congruent.According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN
Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN
Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.
The correct option for the triangle similar to ΔJKH is option 1. ΔMKN
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TO determine which side of a linear inequality to shade in for its graph, you
should pick a point on one side of the dashed or solid line and plug its
coordinates into the original inequality. If the coordinates satisfy the
inequality, you should shade in that half of the plane.
• A. True
• B. False
The given statement about inequality is true.
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.
The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.
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work out m and c for the line y= 2x+1
Answer:
m = 2, c = 1
Explanation: In the y = mx + b (or y = mx + c) format, the m is the slope of the line and the c/b is the y-intercept, or where the line crosses the y-axis. If we substitute the information from the given equation, y = 2x + 1, into the general formula, we know that the m is 2 and c is 1.
Find each product !!
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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Choices:
A. 0.38
B. 0.64
C. 0.69
D. 2.00
Answer I think it is a
Step-by-step explanation: A
can anyone just explain this to me? :) if i'm gonna be honest i spaced out during the explanation on how to do these
Ashley makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
A) what is Ashley’s pay for a bourse call if she doesn’t work any hours?
B) what is her pay is she works 1 hour?
C)how much does her pay increase for each hour worked?
D)are the amounts given in parts (b) and (c) equal? Why or why not? Choose the best answer.
A)Yes, because the line passes through (0, 0)
B) Yes, because the line does not pass through (0, 0)
C)No, because the line passes through (0,0)
D) No, because the line does not pass through (0,0)
Ashley makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
A) Ashley’s pay for a course call if she doesn’t work any hours is $60
B) her pay is she works 1 hour is: $90
C) her pay increases for each hour worked is: $30
D) No. Because if she works 1 hour it becomes $90 as at 0 hours her pay becomes $60.
And her pay increases for each hour is $30.
Correct option: D
What is dollar value?The amount of U.S dollars that would be produced if the appropriate foreign currency were converted into US dollars.
Currency rates, Treasury bills, and foreign exchange reserves are the three metrics used to determine the value of the US dollar. The fact is that you need to be familiar with all three in order to make informed predictions about where the dollar could go next, even if the most popular technique is through exchange rates.
This simply indicates that her set compensation (at 0 hours, even before she begins working), is $60, and that she earns $30 for each subsequent hour worked, or a $30 rise in pay overall.
Thus, correct option: D
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Help on this one please Thanks so much
Answer:
AD is one-fourth the length of CE
Step-by-step explanation:
Divide. 6 2/3÷1/5 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Write the equation of a line that has a slope of 3 and intersects the y-axis at (0,-9)
Answer:
-9=3*0+3
Step-by-step explanation:
-9=3*0+3
-3
-12=3*0
3*0=0
-12
Determine The missing number in the equation
3 + 9= +4
3 + 9 = 12/3 = positive 4 the missing number in the equation is 12/3.
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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Can someone do the division and show work of 350000 divided by 35
Answer:
10000
Step-by-step explanation:
I hope this helps!
helpppp :,[ also stay safe and have a great day!!!!!!!!!!!!!!!!!!!!!!1111
Answer:
35÷7=5
Step-by-step explanation:
we have 7 small boxes in an oval and there are 5 ovals
All the boxes add up to 35
Answer:
B) 35/7 = 5
Step-by-step explanation:
First, I counted the number of groupings, which is 5. That will be our answer, since they circled them.
Then, I counted how many boxes were in each group. 7. That will represent the divisor or the number that we will be dividing by.
If you multiply the numbers, they will equal 35. 5*7=35 Since they are asking which division problem the diagram represents, 35 is the dividend or the number that we start with.
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
Put these numbers in order from LEAST to GREATEST.
2/3,1/2,3/4,6/10
Answer:
1/2, 6/10, 2/3, 3/4
Step-by-step explanation:
we can convert each fraction to a decimal to compare:
2/3 = 0.666666 repeating
1/2 = 0.50
3/4 = 0.75
6/10 = 0.60
least to greatest:
1/2, 6/10, 2/3, 3/4
QUICK I GOT 2 MINUTES
We had dinner at Joe's Crab Sahck. The bill was $200. We had a coupon for 15% discount. We decided to pay the waitress 20% tip and a 7% tax. What was the amount of final bill?
Answer:
I think it is 224.
Other:
Brainliest? Thanks!
Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Last year the cost of Tom's train ticket was £42 This year the cost of Tom's train ticket increased to £50 Write down the increase in the cost of Tom's ticket as a fraction of last year's cost. (2 marks
Answer:
19.048%
Step-by-step explanation:
The formula for the increase in cost will be :
[(New cost - Original Cost)÷Original Cost] × 100
So let's substitute values in from the question :
[(50-42)÷42] × 100
[8÷42] × 100
0.19048 × 100
19.048%
Hope this helped and have a good day
Given: sin 18° = p Without using a calculator,
Answer:
P = 0.309
Step-by-step explanation:
Suppose that the polynomial function is defined as follows. f(x) = 4(x -11) (x + 9) (x - 5)^3List each zero of according to its multiplicity in the categories below. If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "None." Zero(s) of multiplicity one:_________Zero(s) of multiplicity two:_________ Zero(s) of multiplicity three:_________
Answer:
Zero(s) of multiplicity one: 11,-9
Zero(s) of multiplicity two: None
Zero(s) of multiplicity three: 5
Step-by-step explanation:
Suppose that we have a polynomial function in the following format:
\(f(x) = a*(x - x_{0})^{m_{0}}*(x - x_{1})^{m^{1}}*...*(x - x_{n})^{m^{n}}\)
The zeros are \(x_{0}, x_{1}, ..., x_{n}\).
The multiplicites are \(m_{0}, m_{1},..., m_{n}\)
In this question:
f(x) = 4(x -11) (x + 9) (x - 5)^3
So
11 is a zero of multiplicity 1
-9 is a zero of multiplicity 1
5 is a zero of multiplicity 3.
So the answer is:
Zero(s) of multiplicity one: 11,-9
Zero(s) of multiplicity two: None
Zero(s) of multiplicity three: 5
I need to know this fast
Answer:
396 Square feet
Step-by-step explanation:
1.) First find the side closest to you. 6 x 12 = 72. Then double it to match the parallel side. 72 x 2 = 144
2. Find the side to the right and left, 7 x 6 = 42. Then double it to match the parallel side. 42 x 2 =84
3.) Find the top side and bottom side. 12 x 7 = 84. Then double it to match the parallel side. 84 x 2 = 168
4.) Find the total surface area. 144+84+168=
5.) The total surface area is 396 square feet
Let me know if I am incorrect
Give four reasons why you think mathematics should be taught in primary schools
Answer:
i) Because so that we can understand them steps by step
ii)We could enjoy when we study in school
Answer:
because it helps the kid to make
1. base at mathematic
2.helps to change thinking way that math is hard
3. makes future bright like elon- musk
4. it helps to make stable in basic math calculation