Answers
Answer:
C. 96 pi
Step-by-step explanation:
Formula for volume of cone = 1/3 * h * pi * r^2
1. 1/3 * 18 * 4^2 * pi
2. 96 pi
I hope this helps
Answer:
C. 96π cubic units
Step-by-step explanation:
The volume of a cone can be found using the following formula.
[tex]V=\frac{1}{3} \pi r^2h[/tex]
The radius of the cone is 4 units and the height is 18 units.
r= 4 units
h=18 units
Substitute the values into the formula.
[tex]V=\frac{1}{3} \pi (4units)^2(18 units)[/tex]
First, evaluate the exponent, 4 units^2.
4 units^2= 4 units * 4 units= 16 units^2
[tex]V=\frac{1}{3}\pi(16 units^2)(18 units)[/tex]
Next, multiply 16 units^2 and 18 units
16 units^2*18 units= 288 units^3
[tex]V=\frac{1}{3}\pi(288 units^3)[/tex]
Next, multiply 1/3 and 288 units^3, or divide 288 units^3 by 3.
1/3 * 288 units^3 =96 units^2
288 units^3/3=96 units^3
[tex]V=\pi*96units^3[/tex]
This can be rewritten as:
[tex]V= 96\pi units^3[/tex]
The volume of the cone is 96π cubic units. Therefore, C is the correct answer choice.
Related Questions
explain how 6/12 and 4/8 are equal fractions
Answers
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =
1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)
Answers
Answer:
Step-by-step explanation:
P(A and B)=P(A)*P(B)
if y - 1/y =8 then find the value of y^2-1/y^3
Answers
Step-by-step explanation:
[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]
factorise out y² ;
[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
[?]
Answers
Answer:
1/36
Step-by-step explanation:
it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}
you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...
The probability of rolling a sum of 2 with these dice is 1/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Pair of dice have= {1,2,2,3,3,4}
Now,
The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.
However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.
This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.
Therefore, the probability will be 1/36.
Learn more about probability here;
https://brainly.com/question/9326835
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 Which table below matches the scatter plot?
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
x 2 1 8 6 7 1 4 3
y 5 9 3 2 7 6 4 5
x 3 4 6 1 7 8 1 2
y 1 2 3 4 5 6 7 8
x 3 4 6 1 7 8 1 2
y 2 1 7 1 3 5 6 4
Answers
Answer:
The first table
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
Megan buys condiments in bulk for her restaurant. The company that she orders ketchup from charges $14.78 per gallon for orders less than 8 gallons. For orders of 8 gallons or more, the cost is $11.99 per gallon of ketchup. Which function represents this situation?
side note: f(x)= blank
Answers
Answer:
Below
Step-by-step explanation:
● Orders of 8 gallons or more can be modeled as: x》 8
● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x
● For orders that are less than 8, the comapny charges 14.78 per gallon
● => 14.78x for x < 8
So the function that represent the situation is the second one
the third term and the fifth term of a geometric progression are 2 and 1/8 respectively. If all terms are positive, find the sum to the infinity of the progression
Answers
Answer:
42 + 2/3
Step-by-step explanation:
First, to calculate the sum of an infinite geometric series, our formula is
a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.
To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have
2 * r * r = a₅
2 * r² = 1/8
divide both sides by 2 to isolate the r²
r² = 1/16
square root both sides to isolate r
r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5
Therefore, r = 1/4 .
To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2
a₁ * 1/16 = 2
divide both sides by 1/16 to isolate a₁
a₁ = 2 * 1/ (1/16)
= 2 * 16
= 32
Plugging a₁ and r into our infinite geometric series formula, we have
a₁/(1-r)
= 32 / (1-1/4)
= 32/ (3/4)
= 32/ 0.75
= 42 + 2/3
The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1 . 108 kilometers. About how
many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?
O 5.2. 107 kilometers
O 4.7. 108 kilometers
O 5.2. 108 kilometers
O 5.7. 109 kilometers
Answers
a submarine is 50 meters below sea level. It goes up 15 meters and down 40 meters. What is the submarines new position relative to sea level
Answers
Answer:
-75 m
Step-by-step explanation:
Use sea level as the reference point.
Initially the position is -50 m.
If the submarine goes up 15 m, then its new position is (-50 + 15) m, or -35 m.
If the sub now descends 40 m, its new position is (-35 - 40) m, or -75 m
Louis bought 16 cookies at the bakery. He had a
coupon for $7 off his entire purchase. He ended up
paying $13.32. Write an equation to find how much
each cookie originally cost.
Answers
Answer:
16x -7 =$13.32
Step-by-step explanation:
$13.32 + $7 = $20.32
$20.32 divided by 16 = $1.27
each cookie cost $1.27
I really hope this help
Answer:- 16x - 7 = 13.32
Also cost of each cookie = $1.27
Explanation:
Let the cost of each cookies be x
ATQ
16x -7 = 13.32
We will mutiply x with 16 because he purchased 16 cookies.
Also he had coupon of $7 which means $7 off which is why -7
And 13.32 is the amount he paid
Now lets solve it
16x - 7 = 13.32
16x = 13.32 + 7
16x = 20.32
x = 20.32/16
x = 1.27
Therefore cost of each cookie is $1.27
please click thanks and mark brainliest if you like :)
PLEASE HELP ME!!!!!!!!!
The relationship between hours exercised and the score on a memory test is modeled by the following line of best fit: y
= 4.8x + 27. Interpret the slope and intercept of the trend line within the context of the data.
Answers
Answer:
Slope: 4.8, x-intercept: -27/4.8, y-intercept: 27
Step-by-step explanation:
To find the slope, use the formula y = mx + b. In this formula, m represents the slope. Since the given equation is based on the above formula, m is 4.8.
To find the x-intercept, set y equal to 0 and solve for x.
y = 4.8x + 27
0 = 4.8x + 27
-27 = 4.8x
-27/4.8 = x
x = -27/4.8
To find the y-intercept, we use the formula y = mx + b again. In this formula, b represents the y-intercept. And, since the equation is based on this formula, b is 27.
(Remember this for future reference: even though the formula says +b, the y-intercept can still be negative).
I hope this helped!
Which of the following statements is true about odd
and/or even numbers?
F. The sum of any 2 even numbers is odd.
G. The sum of any 2 odd numbers is ood.
H. The quotient of any 2 even numbers is odd.
J. The quotient of any 2 even numbers is even.
K. The product of any 2 odd numbers is odd.
Answers
Answer:
k) the product of ant 2 odd numbers is odd
I don't know.
Let's check um out.
For each choice, I'll try to find an example to show that it's false.
F. The sum of any 2 even numbers is odd.
2+2=4. 4 is even. This one is false.
G. The sum of any 2 odd numbers is ood.
3+3=6. 6 is even. This one is false.
H. The quotient of any 2 even numbers is odd.
8÷4=2. 2 is even. 10÷4=2.5. 2.5 is neither odd nor even. This one is false.
J. The quotient of any 2 even numbers is even.
10÷2=5. 5 is odd. This one is false.
K. The product of any 2 odd numbers is odd.
I can't find an example where this is false.
So I'm gonna say that this is the true one.
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answers
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
20. A pool holds 1440 CUBIC feet of water, the aty
charges $). 15 per cubic meter of water
used now, much will it cost to fill the pool?
Answers
Complete question :
A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?
Answer:
$71.36
Step-by-step explanation:
Amount charged per cubic meter = $1. 75
Total volume of pool = 1440 ft^3
Using the conversion unit chart :
1 cubic meter = 35.3147 cubic foot
Then we can express the capacity of water held by the pool in cubic metre.
If 1 cubic meter = 35.3147 cubic foot
Then ;
y cubic meter = 1440 cubic foot
y = 1440/35.3147
y = 40.776220 cubic meter
Thus;
Cost of filling the pool will be;
$1.75 × 40.776220
= $71.358386
= $71.36
Someone please help! Thank you
Answers
Answer:
Hey there!
We can write a equations here:
3x+y=180
Also, since all of the angles have 3x on the outside, then y must be constant.
3y=180
y=60
Thus, for x, we have 3x+60=180, 3x=120, x=40.
2x+6y
2(40)+6(60)
80+360
440.
Let me know if this helps :)
The cycling road race through the Adelaide Hills started at 11:50am and the winner
Took 74 minutes. The winner crossed the finishing line at
Answers
The winner crossed the finish line at
13:04pm
what is the rename of 10/21
Answers
Answer: ten Twenty-one
Step-by-step explanation:
10/21
How do u find the area of a rectangle?
Answers
Answer:
6x-21
Step-by-step explanation:
Area of a rectangle is length times width.
3*(2x-7)-
6x-21
Answer:
6x - 21
Step-by-step explanation:
Since area = L x W (Length x Width)
--> 3(2x - 7)
6x - 21
Which two ratios represent quantities that are proportional? A 25/28 and 5/7 B 22/33 and 14/21 C 16/13 and 13/16 D 48/60 and 35/42
Answers
Answer:
Step-by-step explanation:
If $a>0$ and $b>0$, a new operation $\nabla$ is defined as follows:$$a \nabla b = \dfrac{a + b}{1 + ab}.$$For example,$$3 \nabla 6 = \dfrac{3 + 6}{1 + 3 \times 6} = \dfrac{9}{19}.$$For some values of $x$ and $y$, the value of $x \nabla y$ is equal to $\dfrac{x + y}{17}$. How many possible ordered pairs of positive integers $x$ and $y$ are there for which this is true?
Answers
This happens when
1 + a b = 17 ==> a b = 16
With a and b both positive integers, and 16 = 2^4, we can have
• a = 1 and b = 16
• a = 2 and b = 8
• a = b = 4
and vice versa. So there are 5 possible ordered pairs.
Forgot how to do this please help, thank you.
3m + 2x=-3, solve for x
Answers
Answer:
[tex]\boxed{x =\frac{-3m-3}{2}}[/tex]
Step-by-step explanation:
[tex]3m + 2x=-3[/tex]
[tex]\sf Subtract \ 3m \ from \ both \ sides.[/tex]
[tex]3m + 2x-3m=-3-3m[/tex]
[tex]2x=-3-3m[/tex]
[tex]\sf Divide \ both \ sides \ by \ 2.[/tex]
[tex]\displaystyle \frac{2x}{2} =\frac{-3-3m}{2}[/tex]
[tex]\displaystyle x =\frac{-3m-3}{2}[/tex]
Answer:
x=\frac{-3-3m}{2}
Step-by-step explanation:
1st step: Subtract 3m from both sides. 3m+2x-3m=-3-3m
2nd step: Simplify. 2x=-3-3m
3rd step: Divide both sides by 2. \frac{2x}{2}=-\frac{3}{2}-\frac{3m}{2}
Final step: Simplify. x=\frac{-3-3m}{2}
Solve for a
5+14a=9a-5 a=
Answers
Answer:
-2
Step-by-step explanation:
5+14a=9a-5
+5 +5
10+14a=9a
-9a -9a
10+5a=0
-5a -5a
10= -5a
÷5 ÷5
2= -a
*-1 *-1
-2=a
An Aquarium’s dimensions are 3 1/4 ft x 2 ft x 1 3/4. What is the volume of the Aquarium?
Answers
Volume = length x width x height
Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet
Answer:
11 3/8 ft^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 3 1/4 * 2 * 1 3/4
Change the number to improper fractions
V = (4*3+1)/4 *2 * (4*1+3)/4
= 13/4 *2* 7/4
Rewriting
= 13/1 * 2/4 * 7/4
= 13/1 * 1/2 *7/4
= 91/8
Changing back to a mixed number
8 goes into 91 11 times with 3 left over
11 3/8 ft^3
How much water will be in each bottle if the total amount of water is equally divided among the bottles?
Answers
Answer:
D
Step-by-step explanation:
add everything up devide by 3
Answer:
C. 1/2 liter
Step-by-step explanation:
First, find the total amount of water by multiplying the amounts of water by the number of bottles, then adding all 3 values together:
1/4(1) = 1/4 liter
1/2(4) = 2 liters
3/4(1) = 3/4 liter
1/4 + 2 + 3/4 = 3 liters
There are 6 bottles in total, if we count the number of dots.
To find how much water would be in each bottle if the water was equally divided, divide the total amount of water by the number of bottles:
3 / 6 = 1/2
= 1/2 liter
Please give me the correct answer
Answers
Answer:
10 centimeters
Step-by-step explanation:
formula for volume of a cylinder = πr² · h
1. Set up the equation
(3.14)(r²)(14) = 4,396
2. Simplify
(43.96)(r²) = 4,396
3. Solve
r² = 100
√r = √100
r = 10
or what value of g does the function f(g) = g2 + 3g equal 18?
Answers
Answer:
The 2 values that makes the function equal to 18 is 3 and -6
Step-by-step explanation:
First you can convert the quadratic equation from standard form to root form
Step 1: Substitute f(g) = 18
Step 2: Move 18 to the other side to create
0 = g² + 3g - 18
Step 3: Now we rearrange equation from standard form into root form
Step 4: Find what adds to 3 and multiples to -18
-3 and 6 adds to 3 and multiples to -18
Step 5: Now we substitute -3 and 6 into the root equation
0 = (g-3)(g+6)
Step 6: Set the brackets to 0 and solve
g - 3 = 0
g = 3
g + 6 = 0
g = -6
Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number
Answers
Answer:
See attached
Step-by-step explanation:
13450 = 13000 + 400 + 50
13*1000 = 13 large cubes4*100 = 4 flats5*10 = 5 longsrational or irrational? and why
Answers
Answer:
rational, simplified number is -0.5
Step-by-step explanation:
(see screenshot)
Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?
Answers
Answer:
Relationship: As the input increases by 1, the output increases by 3.
Equation: y=3x-1
~Hope this helps~
a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take
Answers
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7