Using the assumed values, the volume of the cone is [tex]V = \frac {250}3\pi[/tex]
How to determine the volume of the cone?The volume of a cone is calculated using:
[tex]V = \frac 13\pi r^2h[/tex]
The parameters are not given.
So, we use the following assumed values
Radius, r = 5
Height, h =10
Using the assumed values, we have:
[tex]V = \frac 13\pi * 5^2 * 10[/tex]
Evaluate the product
[tex]V = \frac {250}3\pi[/tex]
Hence, using the assumed values, the volume of the cone is [tex]V = \frac {250}3\pi[/tex]
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Answer: C (490/3
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
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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Samuel can type 40 words per minute. How many hours would it take him to type
2.6 x 10^5 words?
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
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.
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
Select the correct statement about the function represented by the table
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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A function, f, has an x-intercept at (2,0) and a y-intercept at (0.10)
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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plaese explain this exe i can't understand and tomorrow i have an exman of metahmatice
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
Is the composition RO,90° or equivalent to the composition ryo RO,90°? Explain your answer.
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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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
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Submit
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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what does permimeter mean
Total distance around a shape
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?
Answer:
your answer is 9 large binders
Graph the solution to this system of inequalities in the coordinate plane.
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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The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
O 3+3√2 ft
O 3+3√√3 ft
O 6+3-√√2 ft
O 6+3√√3 ft
Check the picture below.
The perimeter of the triangle with the given dimension of leg is 6+3√2.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Using Pythagoras theorem
c² = a² + b²
where c is the hypotenuse.
Here, c² = 3² + 3²
c = 3√2
So, the perimeter of triangle is
= 3 + 3 + 3√2
= 6 + 3√2
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Review the graph of 2x – 7 – 3 ≥ y.
On a coordinate plane, a curve goes through (0, negative 3) and increases up through (8.5, 0) and (10, 5). Everything below the line is shaded and is labeled 2 Superscript x minus 7 Baseline minus 3 greater-than-or-equal-to y.
What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?
7
8
9
10
The least integer value that satisfies the inequality [tex]2^{x-7} - 3[/tex] ≥ y is 7.
What is Exponential function?
Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.
Here, In the given function
Least possible value of 2ˣ⁻⁷ is 1
2ˣ⁻⁷ = 2⁰
On comparing both sides, we get
x-7 = 0
x = 7
Thus, The least integer value that satisfies the inequality 2ˣ⁻⁷-3≥ y is 7.
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Answer:
7
Step-by-step explanation:
edg 2022
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
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.
i dont now what it is
Answer:
Its option C
As,
x+8=3x
8= 3x-x
8=2x
8/2=x
4=x
#x=4
Which graph represents the function f(x))=2•(1/3)^xm
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.
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?
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
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?
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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can someone please help me with this i’d really appreciate it
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.
_____cups flour is equivalent to 1 pound.
HELP PLS I'LL MARK U BRAINLIST
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 17,17,15I'm confused I got an answer but got it wrong help please.
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
I am very confused and so are my classmates.
Answer:
I used A and got 0.4 and she needs 52200
Step-by-step explanation:
Find the value of x.
Answer:
The value of x is 5x that the value of X in my oppion.
Step-by-step explanation:
1 pound is equivalent to ____ grams.
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.
Jamie is playing a card game. Jamie's score changes by -12 points for 8 turns in a row.
What is the total change in Jamie's score?
Answer:-96
Step-by-step explanation:The answer is -96
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
610
Step-by-step explanation:
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?
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
MATHHH!!! area stuff
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