Answers
Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
Related Questions
A function, f, has an x-intercept at (2,0) and a y-intercept at (0.10)
Answers
The equation of the function is f(x) = -5x + 10
How to determine the function equation?The points are given as:
x-intercept at (2,0) and a y-intercept at (0,10)
A linear function is represented as:
y = mx + b
Where b is the y-intercept.
The y-intercept at (0,10) means that:
b = 10
So, we have:
y = mx + 10
The x-intercept at (2,0) means that:
x = 2, when y = 0
Substitute these values in y = mx + 10
0 = 2m + 10
Subtract 10 from both sides
2m = -10
Divide both sides by 2
m = -5
Substitute m = -5 in y = mx + 10
y = -5x + 10
Hence, the equation of the function is y = -5x + 10
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A function, f, with an x-intercept at (2,0) and a y-intercept at (0, 10) has an equation y = -5x + 10
How to find the equation of a line?The equation of a line in slope intercept form is expressed as y =x +b
where
m is the slopeb is the y-interceptGiven a function, f, has an x-intercept at (2,0) and a y-intercept at (0, 10), the slope is expressed as:
Slope = 10/-2
Slope = -5
Substitute m = -5 and b = 10 into the formula to have y = -5x + 10
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The following graph models the height of a model rocket, in feet, measured over time, in seconds.
How many seconds does it take for the rocket to reach the ground after takeoff?
Enter your answer as a number, like this: 42
Do not round your answer if it is a decimal.
Answers
Answer:
5.04 seconds
Step-by-step explanation:
The time taken for the rocket to reach the ground can be found on the graph by finding the x-intercept, at which the height (y-value) will be 0According to the graph :
The x-intercept is (5.04, 0)Hence, it takes the rocket 5.04 seconds to reach the ground after takeoffObserve the end points on x axis of the parabola
They are
(0,3)(5.04,0)Time is x axis
So total time
5.04-05.04s1 pound is equivalent to ____ grams.
Answers
Answer:
453.592 grams or 454 grams if you round up
Answer:
1 pound = 454 grams
Step-by-step explanation:
Multiply 454 into the value.
i dont now what it is
Answers
Answer:
Its option C
As,
x+8=3x
8= 3x-x
8=2x
8/2=x
4=x
#x=4
_____cups flour is equivalent to 1 pound.
Answers
Olivia’s power went outa at midnight she knows that during a power outage if is important to leave the freezer and refrigerator doors closed
Answers
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.
What is power outage?This is known to be when there is no electrical power due to unforeseen reasons.
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.
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Which tables could be used to verify that the functions they represent are inverses of each other? Select two
options.
X
-120
27
-110
2
y
-100 -95 -90
27 227627
х
- 120
-110
27
y
2
100
27
-95
227
-90
627
х -120
y 627
-110
227
-100
27
-95
2
-90
27
х
y
627 227 27
-120 -110-100
2
-95
27
-90
627
227
y -90-110
27
-100
2 27
- 110 -120
Mark this and return
Save and Exit
Next
Submit
Answers
Based on the tables given and the functions represented, the two functions that are inverses of each other are Tables 3 and 4.
Which functions are inverses of each other?When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.
For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).
The functions that are inverses are therefore Tables 3 and 4 as shown attached.
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HELP PLS I'LL MARK U BRAINLIST
Answers
Answer:
this answer is of 2nd question
Step-by-step explanation:
since it is an isosceles triangle
3y-1=y+11
3y-1=y+113y-y=11+1
2y=12
y=6
now putting the value of y in 3y-1,y+11,4y-9
we get,
3y-1=3*6-1=17
y+11=6+11=17
4y-9=4*6-9=15
the answer is 17,17,15Samuel can type 40 words per minute. How many hours would it take him to type
2.6 x 10^5 words?
Answers
Answer:
108 1/3 hours
Step-by-step explanation:
There are 60 minutes in 1 hours.
40 words/minute × 60 = 2400 words/hour
2.6 × 10^5 / 2400 = 108.3333... = 108 1/3
Answer 108 1/3 hours
Select the correct statement about the function represented by the table
Answers
The correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Given a table on which there are two column in which one column represents x values while other column represent the y values
We have to find whether the relationship between x value and y value is linear or exponential
From given table let,
y₁ = 34; y₂ = 41; y₃ = 48; y₄ = 55
x₁ = 1; x₂ = 2; x₃ = 3; x₄ = 4
If the relationship between the x value and y value is linear then the difference between two consecutive value of x value and y value would be equal
So y₂-y₁ = y₄-y₃ and x₂-x₁ = x₄-x₃
Putting the value we get difference of y value 7 and x value as 1 since it is same we can say that the relation ship between x value and y value is linear
Hence the correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values
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Is the composition RO,90° or equivalent to the composition ryo RO,90°? Explain your answer.
Answers
The compositions R090 °ry and ry ° R090 are not equivalent
How to determine the composition?The compositions are given as:
R090 °ry and ry ° R090
The transformation R090 °ry means a rotation of 90 degrees followed by a reflection across the y-axis
i.e.
(x, y) => (y, -x) => (-y, -x)
The transformation ry ° R090 means a reflection across the y-axis followed by a rotation of 90 degrees
(x, y) => (-x,y) => (y,x)
See that the end results of both transformations are not the same
Hence, the compositions R090 °ry and ry ° R090 are not the same
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plaese explain this exe i can't understand and tomorrow i have an exman of metahmatice
Answers
Answer:
B: 610; A: 202,000
D: 253; C: 2,007,000
Step-by-step explanation:
These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.
__
B = (597 -176) +(13 +176)This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...
597 +13 +(-176 +176)
= 597 +13
This can further be rearranged to ...
= (597 +3) +(13 -3)
= 600 +10
= 610
__
A = 2020×173 -2020×73The factor 2020 can be put outside parentheses using the distributive property:
= 2020(173 -73)
= 2020×100
= 202,000
__
D 17×15 -15 +13The value 15 is repeated. Terms using it can be combined using the distributive property.
= 15(17 -1) +13
= 15(16) +13
= 240 +13
= 253
Another way to look at this one is to use the factoring of the difference of squares.
= (16 +1)(16 -1) +(-15 +13)
= 16² -1² +(-2)
= 256 -3
= 253
__
C 2019×890 -(12000 -2019×110)Again, we can focus on rearranging so 2019 only needs to show up once.
= 2019(890 +110) -12000
= 2019×1000 -12×1000
= (2019 -12)×1000
= 2,007,000
Find the value of x.
Answers
Answer:
The value of x is 5x that the value of X in my oppion.
Step-by-step explanation:
A group of middle and high school students are surveyed as to their breakfast preferences. The results are shown below.
Eat Breakfast
Skip Breakfast
Middle Schooler
40
14
High Schooler
12
24
Total
52
38
What is the probability a randomly selected student eats breakfast?
What is the probability a randomly selected student is a middle schooler?
What is the probability a randomly selected student is either a high schooler OR eats breakfast?
What is the probability a randomly selected student is a high schooler AND eats breakfast?
What is the probability a randomly selected student is a high schooler, given that they eat breakfast?
What is the probability a randomly selected student eats breakfast given the student is a high schooler?
Total
54
36
90
Answers
The probability a randomly selected student eats breakfast is 0.58.
The probability a randomly selected student is a middle schooler is 0.60.
The probability a randomly selected student is either a high schooler OR eats breakfast is 0.98.
The probability a randomly selected student is a high schooler AND eats breakfast is 0.23.
The probability a randomly selected student is a high schooler, given that they eat breakfast is 0.33.
The probability a randomly selected student eats breakfast given the student is a high schooler is 0.23.
What are the probabilities?
The probability a randomly selected student eats breakfast = number of students that eat breakfast / total number of students
52 / (52 + 38) = 0.58.
The probability a randomly selected student is a middle schooler = total number of middle schoolers / total number of students = (40 + 14) / 90 = 0.60.
The probability a randomly selected student is either a high schooler OR eats breakfast = (total number of high schoolers / total number of students) + (number of students that eat breakfast / total number of students) = 36 / 90 + 52 / 90 = 0.98.
The probability a randomly selected student is a high schooler AND eats breakfast = (total number of high schoolers / total number of students) x (number of students that eat breakfast / total number of students) = 36 / 90 x 52 / 90 = 0.23.
The probability a randomly selected student is a high schooler, given that they eat breakfast = high schooler that eats breakfast / total number of students that eat breakfast
12 / 52 = 0.33.
The probability a randomly selected student eats breakfast given the student is a high schooler = high schooler that eats breakfast / total number of high schoolers = 12 / 36 = 0.23.
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Alison is buying binders for school. small binders cost $3 each, and large binders cost $5 each. if alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
Answers
Answer:
your answer is 9 large binders
Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x
Answers
Answer:
h(x) = 1/4 x
Step-by-step explanation:
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
The length of three boards added together is 7.2 meters. The second board is twice the length of the first. The third board is three times the length of the first. What is the length of the three boards?
Answers
Answer:
Board 1 = 1.2m
Board 2 = 2.4m
Board 3 = 3.6m
Step-by-step explanation:
Board 1 = x
Board 2 = 2x
Board 3 = 3x
x + 2x + 3x = 6x
7.2 /6 = 1.2
Board 1 = 1.2
Board 2 = 2 (1.2) = 2.4
Board 3 = 3 (1.2) = 3.6
what does permimeter mean
Answers
Total distance around a shape
Point RR lies on the directed line segment from L\left(-8,-10\right)L(−8,−10) to M\left(4,-2\right)M(4,−2) and partitions the segment in the ratio 33 to 55. What are the coordinates of point RR?
Answers
The coordinates of point R of the given line segment are (-3.5, -7)
How to partition a line segment?
We are given the coordinates;
L (-8,-10) to M (4,-2)
We are told that they are partitioned in the ratio 3 to 5.
Thus;
The coordinates of R divide directed line segment from L (-8,-10) to M (4,-2) in ratio 3:5will be :
x = [3(4) + 5(-8)]/(3 + 5)
x = -3.5
y = [3(-2) + 5(-10)]/(3 + 5)
y = -7
Thus, the coordinates of point R are (-3.5, -7)
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I am very confused and so are my classmates.
Answers
Answer:
I used A and got 0.4 and she needs 52200
Step-by-step explanation:
The function g(x) = -2x + 3. Compare the slopes and y-intercepts. A. Both the slopes and the y-intercepts are different. B. Both the slopes and the y-intercepts are the same. C. The slopes are the same but the y-intercepts are different. D. The slopes are different but the y-intercepts are the same.
Answers
Answer:
both the slopes and the y intercepts are the same for both of these functions because if you look at the graph you will notice that the y intercept is positive 3 just the function and to get its slope just use the formula y2-y1/x2-x1 to get the slope of also a -2 so answer is b
Which graph represents the function f(x))=2•(1/3)^xm
Answers
Answer: the on to the bottom left
Step-by-step explanation: c would be right because you have a positive slope
On a piece of paper, graph y = x² - 2x - 8 and identify the zeros. Then
determine which answer choice matches the graph that you drew and
correctly identifies the zeros.
Answers
Graph the solution to this system of inequalities in the coordinate plane.
Answers
For the system of equations, we need to plot a straight line passing through the intercepts.
Inequality GraphsInequalities are equations separated by an equal sign. Given the following system of inequality
3y >2x + 12
2x + y ≤ -5
For the system of equations, we need to plot a straight line passing through the intercepts.
For the inequality 3y >2x + 12, the upper part of the graph will be shaded and the line dashed.
For the inequality 3y >2x + 12, the lower part of the graph will be shaded and the line solid.
The graph of the system of equations is graphed below
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MATHHH!!! area stuff
Answers
Answer:
112
Step-by-step explanation:
▪︎ Volume of pyramid = (1/3) * base area * height
▪︎ Base area = 8 * 7
▪︎ Height = 6
▪︎ Volume = 8 * 7 * 6 / 3 = 112
Work out the surface area of this cylinder. 8 cm 16.8 cm
Answers
The complete question is
" Work out the surface area of this cylinder if the diameter of the cylinder is 8 cm and height is 16.8 cm."
The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
What is the surface area of the cylinder?The surface area of the cylinder of the radius of the base r and the height h,
A = 2πr ( r + h)
We have been given as
diameter = 8 cm
Height = 16.8cm
The radius = 8/2 = 4cm
The surface area of the cylinder
A = 2πr ( r + h)
A = 2 x 3.14 x 4 ( 4 + 16.8)
A = 25.12 (21.8)
A = 547.616 cm sq.
Hence, The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
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can someone please help me with this i’d really appreciate it
Answers
Step-by-step explanation:
a probability is always
desired cases / total possible cases.
there is the theoretical probability in such cases, where we simply assume that all sides of such a die (or solid) truly have the same probability.
and then we have experimental probability, where we use only the actual data we got in the experiments to calculate the probability of that particular die (with all its actual internal imperfections) to roll certain results.
so, in our experiments how many total cases do we have ?
200.
how many desired cases (a number greater than 10, that means 11 or 12 as result) do we have ?
well, the sum of all appearances of 11s and 12s :
16 + 18 = 34
that means our experimental probability to get a number greater than 10 is
34/200 = 17/100 = 0.17
FYI
while the theoretical probability with an ideal die is
total cases : 12 (1 .. 12)
desired cases : 2 (11, 12)
the probability is
2/12 = 1/6 = 0.166666666...
it is actually a tiny little bit lower than what we observed in the experiments.
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet.
How many feet of fencing will George need for the dog run?
Answers
Answer:
width is 30-22 = 8 feet
George would need 76 feet of fencing for the dog run
Step-by-step explanation:
30 x (30-x) = 240
30-x = 8
-x = -22
x = 22
Therefore width is 30-22 = 8 feet
8+8+30+30 = 76
Thus, George would need 76 feet of fencing for the dog run
I'm confused I got an answer but got it wrong help please.
Answers
Answer:
[tex]y = \frac{2}{3}x -6[/tex]
Step-by-step explanation:
I'm just gonna assume you want the equation of the line
Standard slope-intercept form is [tex]y=mx+b[/tex] with [tex]m[/tex] being the slope [tex]\frac{rise}{run}[/tex] (aka [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]) and [tex]b[/tex] being the y-intercept (the point where the line crosses the y-axis)
First we will find the slope using the 2 points on the line.
[tex]\frac{-2 - (-4)}{6-3} = \frac{2}{3}[/tex]
This means our slope ([tex]m[/tex]) is [tex]\frac{2}{3}[/tex].
Next we can find our y-intercept. The line crosses the y-axis at [tex](0, -6)[/tex] meaning the y-intercept ([tex]b[/tex]) is -6.
Finally we can plug in our values and find the equation of the line.
[tex]y = \frac{2}{3}x -6[/tex]
That might be the answer (i don't know the question)
- Kan Academy Advance
Question 1 of 10
The slope of the line below is - Write a point-slope equation of the line -1/7
using the coordinates of the labeled point.
10
610
(3, 3)
10
Answers
610
Step-by-step explanation: