a) Volume of the cone = 12π (option B)
b) The length of the segment drawn from the apex to the edge of the circular base is the height of the cone is 4 units (option B)
Explanation:
a) diameter = 6 units
diameter = 2(radius)
radius = diameter/2 = 6/2
radius = 3
height = 4 units
Volume of a cone is given as:
\(V\text{ = }\frac{1}{3}\pi r^2h\)\(\begin{gathered} \text{substitute the values} \\ V\text{ = }\frac{1}{3}\times\pi\times3^2\times4 \\ Volume\text{ of the cone = 12}\pi\text{ cubic units (option B)} \end{gathered}\)b) The length of the segment drawn from the apex to the edge of the circular base is the height of the cone.
Height of the cone is 4
The length of the segment drawn from the apex to the edge of the circular base is the height of the cone is 4 units (option B)
Which is NOT a line of symmetry?
1
2
3
4
en una fiesta de disfraces dos quintos de los invitados van disfrazados de superhéroes un quinto de animales y el resto de zombis. si hay 180 invitados ¿cuantos hay disfrazados de cada cosa?
solo un quinto que sería 90 disfrazaos
Write 6 wholes and 2 tenths as a decimal.
Answer: 6.2
Step-by-step explanation:
A whole number is behind the decimal point.
The tenth is right in front of the decimal point.
write an equation in slope intercept form for the line that has a slope of 1/3 and passes through the point (3, -20)
y = 1/3x - 21 is the equation of the line in slope-intercept form.
What is a slope?
Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:
y - (-20) = 1/3(x - 3)
Simplifying this equation:
y + 20 = 1/3x - 1
Subtracting 20 from both sides:
y = 1/3x - 21
This is the equation of the line in slope-intercept form.
To learn more about slope from the given link:
https://brainly.com/question/3605446
#SPJ1
Help pls
Is either x = 7 or x = 9 a solution to 23 >19?
A. Neither is a solution.
B. They are both solutions.
C. x = 7 is a solution, but x = 9 is not.
D. x = 9 is a solution, but x = 7 is not
Answer:
b they are both solution
A 24-foot ladder leans against a wall the base of the ladder is 9 feet from where the wall meets the ground how far up the wall does the ladder reach ?
Answer
24*9= the answer
Step-by-step explanation:
HELP ME OUT PLEASE!!!
13) What is the slope of the line?
A) -3
B) -1/3
C) 1/3
D) 3
answer
3
Step-by-step explanation:
so there are three points in total graphed but to find slope you can follow slope equation
m=y2-y1 /x2-x1
(1,1) (2,4)
4-1/ 2-1
3/1
3
the slope of the line is 3
Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
Read more about proportional relationship at
https://brainly.com/question/14425347
#SPJ1
i need help ASAP!
(screenshot is below this time lol)
Answer:
B
Step-by-step explanation:
15-1/2 x = 21
1/2 x = - 6
x = - 12
Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 2
Answer:
-5+√2 and -5-√2
Step-by-step explanation:
With the quadratic formula:
\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)
We can also complete the square (which is faster):
\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)
2(67+8)*3 plz help
A. 450
B.908
C.154
D 679
Answer:
A. 450
Step-by-step explanation:
Answer:
its a the answer 450
Step-by-step explanation:
Here is why
2(67+8) (3)
= (2) (75) (3)
=(150) (3)
= 450
hope it helps
1/2 of a number is 32 what's the answer
Answer:
The number is 64.
Step-by-step explanation:
Forming the equation,
→ n × (1/2) = 32
Then the number will be,
→ n × (1/2) = 32
→ n = 32 ÷ (1/2)
→ n = 32 × 2
→ [ n = 64 ]
Hence, the number is 64
describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
Learn more aobut Inequalities:
https://brainly.com/question/30228778
#SPJ1
Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
1) Matching.
The United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
____________a. Select the linear equation in standard form for three unknowns:
____________b. The United States won 46 gold medals and the same number each of silver and bronze medals. Select the relationship between the number of silver to bronze medals in an equation of two unknowns.
_____________c. With the information given in b, solve the linear equation in a for the number of gold, silver, and bronze medals won.
a. =g + s + b=104
b. =g=29, s=46, b=29
c. =g=b
d. =s=b
e =-g=46, s=29, b=29
f. =g + s + b=100
The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s and the solution is g=46, s=29, b=29
How to select the linear equation in standard form for three unknowns?
(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:
g + s + b = 104
(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:
g = 46
s = b
Thus, the relationship between the number of silver to bronze medals is s = b
(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:
g + s + b = 104
46 + b + b = 104
46 + 2b = 104
2b = 104 -46
2b = 58
b = 58/2
b = 29
Also, s = 29 (Remember: s = b)
Thus, g = 46, s =29, b = 29
Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively
Learn more about linear equation on:
brainly.com/question/15602982
#SPJ1
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average speed?
Answer:
46.6666667
Step-by-step explanation:
we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.
Hope this helps! (:
The required average speed of Oliver is 46.67 miles per hour.
Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
= 210 / 4.5
= 46.67 miles per hour
Thus, the required average speed of Oliver is 46.67 miles per hour.
Learn more about averages here:
brainly.com/question/24057012
#SPJ2
Determine whether the statement is true or false.
2E{x|XEN and x is odd}
Is the statement true or false?
O True
O False
The given statement exists as false. An expression, rule, or law in mathematics establishes the link between an independent variable and a dependent variable.
What is meant by function?An expression, rule, or law in mathematics establishes the link between an independent variable and a dependent variable (the dependent variable).
The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.
A relation between a collection of inputs and outputs is known as a function. A function exists, to put it simply, a relationship between inputs in which each input exists connected to precisely one output.
To learn more about function refer to:
https://brainly.com/question/28793267
#SPJ13
Please help with math question, algebra. Picture is inserted thanks.
The system of equations represent the given scenario is d+c=140 and d=4c. Therefore, option A is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Students collected 4 times as many cans of cat food as dog food, and they collected 140 cans in all.
Let d represent the number of cans of dog food collected, and let c represent the number of cans of cat food collected
Now, the system of equations are
Total number of cans of cat and dog food collected
d+c=140
Students collected 4 times as many cans of cat food as dog food
That is, d=4c
Therefore, option A is the correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Find the probability of at least one 3 in 10 rolls of a fair die.
Answer:
10/60
Step-by-step explanation:
brainliest pls
The probability of at least one 3 in 10 rolls of a fair die will be 0.155.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
\(\rm P(X = x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)
The probability of success is given as,
p = 1/6
Then the probability of at least one 3 in 10 rolls of a fair die will be given as,
P(x = 3) = ¹⁰C₃ × (1/6)³ × (1 - 1/6)¹⁰⁻³
P(x = 3) = 120 × (1 / 216) × (78,125 / 279,936)
P(x = 3) = 9,375,000 / 60,466,176
P(x = 3) = 0.155
The probability of at least one 3 in 10 rolls of a fair die will be 0.155.
More about the binomial distribution link is given below.
https://brainly.com/question/14565246
#SPJ2
Please Solve (c-3)^2=100
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
Plz help fast. What is the value of x?
Answer is 7.b because of the angles
Determine if the function represents growth, decay or neither
y= 4(3/8)^x
The given function y = 4(3/8)^x represents exponential decay.
As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.
The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).
When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.
In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.
Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.
In summary, the given function y = 4(3/8)^x represents exponential decay.
For more such questions on exponential decay, click on:
https://brainly.com/question/29740916
#SPJ11
-2.15-5j=-1.8+2.1j-7.45
J=
Answer:
j = 1
Step-by-step explanation:
-2.15+1.8+7.45 = 2.1j + 5j
7.1 = 7.1j
7.1/7.1 = j
What is the smallest positive integer which when divided by 5 leaves a remainder of 3?
The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8
How to determine the smallest positive integerFrom the question, we have the following parameters that can be used in our computation:
Divisor = 5
Remainder = 3
Using the above as a guide, we have the following:
Smallest integer = Divisor + Remainder
So, we have
Smallest integer = 5 + 3
Evaluate
Smallest integer = 8
Hence, the smallest is 8
Read more about quotient at
https://brainly.com/question/1807180
#SPJ1
An event manager recorded the number of people in different age groups who attended a music concert:
A histogram titled Concert Audience is shown. The horizontal axis is labeled Age Group in years with bins 18 to 24, 25 to 31, 32 to 38, and 39 to 45. The vertical axis labeled Number of People with values from 0 to 120 at intervals of 20. The first bin goes to 80, the second goes to 120, the third goes to 40, and the last goes to 20.
Which data table accurately represents the data in the histogram?
A:
Age Group Number of People
18–24 80
25–31 120
32–38 40
39–45 20
B:
Age Group Number of People
18–24 80
25–31 200
32–38 240
39–45 260
C:
Age Group Number of People
18–24 20
25–31 40
32–38 120
39–45 80
D:
Age Group Number of People
18–24 260
25–31 240
32–38 200
39–45 80
Answer: C) Age Group Number of People:
18–24 20
25–31 40
32–38 120
39–45 80
Have a good day/night! I hoped this helped. :D
Answer:
A:
18–24: 8025–31: 12032–38: 4039–45: 20Step-by-step explanation:
You want to know the table that accurately reflects the data in the described graph.
MatchingAs presented here, this is a reading comprehension problem.
The problem statement tells you the first bin is labeled 18–24, and the graph there extends to 80. This eliminates tables C and D. Tables A and B show 80 people in the 18–24 age group.
The second bin is labeled 25–31, and the graph there extends to 120. This matches the entry in Table A.
Table A matches the graph.
<95141404393>
What is a formula for the nth term of the given sequence?
3,5,7...
Answer:
You can always find the 'nth term' by using this formula: nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
Learn more about probability at https://brainly.com/question/13604758
#SPJ1
The function F is given in 3 equivalent forms.
Which form most quickly reveals the y intercept?
Look at image below
Part 2: what is the y intercept?
The form that most quickly reveals the y intercept is
B f(x) = 1/2 x² - 5x + 21/2The y intercept is (0, 21/2)
What is y-intercept?The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the form, f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept
hence we can easily say that the y intercept is (0, 21/2)
Learn more about y-intercept at
https://brainly.com/question/10606087
#SPJ1
HELP PLEASE thank uuuuu
.
a²+25²=31²
31²-25²=a²
961-525=a²
a²=336
√a=√336
a=18.33
An item has increased by
23% to £58.
What was the original
price?
Answer:
The answer is 44.66
Step-by-step explanation:
Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.