Answer: D
Step-by-step explanation: i did the math
Find the volume for 3 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 3 cylinders where the height of the cylinder is the same as the diameter of the sphere.
(who ever does it I will give brainliest and answer 3 of there questions)
Answer:
Hii!!
Volume Of Sphere =[tex] \frac{4}{3} * π * r^3. [/tex]
Let r be 1cm, 3 cm, 6 cm.
So,
Volume of sphere 1 = [tex] \frac{4}{3} * 3.14 * 1^3. [/tex]
Volume of sphere 1 = 4.19 cm^3
Volume of sphere 2 = [tex] \frac{4}{3} * 3.14 * 3^3. [/tex]
Volume of sphere 2 = 113.04cm^3
Volume of sphere 3 = [tex] \frac{4}{3} * 3.14 * 6^3. [/tex]
Volume of sphere 3 = 904.32 cm^3
Volume of cylinders = [tex] π * r^2 * h. [/tex]
Let r be 1cm, 3 cm, 6 cm and h be 2cm, 6cm and 12cm respectively.
So,
Volume of cylinder 1 = [tex] π * 1^2 * 2. [/tex]
Volume of cylinder 1 = 6.28 cm^3
Volume of cylinder 1 = [tex] π * 3^2 * 6. [/tex]
Volume of cylinder 1 = 169.56 cm^3
Volume of cylinder 1 = [tex] π * 6^2 * 12. [/tex]
Volume of cylinder 1 = 1356.48 cm^3
HOPE IT HELPS!!!
BRAINLIEST PLS!!!!
We can write the volume of spheres with three different radii as given below
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3[/tex]
Also we can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
Volume of a sphere with radius R is given by equation
[tex]\rm Volume \; of \; the \; sphere \; of\; radius\; R = \bold{4/3 \pi R^3 }[/tex]
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 ........(1) \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 .........(2) \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3..........(3)[/tex]
Equation (1) (2) and (3) represent the volumes of three different spheres
Given that the heights of the cylinders are equal to the diameter of the spheres
so from this given condition we can write the following relations
[tex]\rm Height\; of \; first \; sphere = H_1 = 2R_1 \\\\ Height\; of \; second \; sphere = H_2 = 2R_2 \\\\Height\; of \; third \; sphere = H_3 = 2R_3 \\\\[/tex]
The volume of the cylinder is given by equation (4)
[tex]\rm Volume \; of \; the\; cylinder = \pi R^2 H........(4) \\\\Where R = Radius \; of \; the \; cylinder \\\\H \; is \; the \; Height \; of \; the\; cylinder\\[/tex]
From the given conditions of heights of cylinders and radius of the sphere.
We can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
For more information please refer to the link given below
https://brainly.com/question/12748872
Sheila is taking medicine to help fight an infection. The function f(x) = 12(0. 82)^x models the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
About how many mg are left in her bloodstream after 2 hours?
Given:
[tex]f(x)=12(0.82)^x[/tex]
where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
To find:
The remaining mg in her bloodstream after 2 hours.
Solution:
The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function
[tex]f(x)=12(0.82)^x[/tex]
Putting x=2, we get the remaining mg in her bloodstream after 2 hours.
[tex]f(2)=12(0.82)^2[/tex]
[tex]f(2)=12(0.6724)[/tex]
[tex]f(2)=8.0688[/tex]
Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.
Answer:
8.07
Step-by-step explanation:
...
what is the steps of 3/5÷7/10
Answer:
6/7
Step-by-step explanation:
1) Keep, Change, Flip.
-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.
3/5 x 10/7
-The 7/10 is flipped and is now 10/7.
2) Now we multiply the top and bottom numbers.
30/35
3) Simplify.
30/35 = 6/7
- I divided by 5.
Last month, it took 3 gardeners 12 hours to fix up the gardens in the city's main square. This month, the city has a bigger budget and can hire 6 gardeners. Knowing that it took 12 hours to finish the job for 3 gardeners. It took 6 hours for 6 gardeners to fix up the gardens.
Answer:
So what is the question?
Step-by-step explanation:
A sporting goods store bought a ski set at a cost of $432. Later, the ski set was marked down 10% from its selling price and then marked down another 20%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.
Answer:
The original selling price of the ski set is $600
Step-by-step explanation:
The cost price of the ski set = $432
The first percentage mark down of the ski set = 10% from its selling price
The first percentage mark down of the ski set = 20% from its selling price
Let x represent the original selling price of the ski set at the sporting goods store, we are given;
80/100 × (90/100 × x) = The cost price of the ski set
Therefore, we have;
80/100 × (90/100 × x) = 432
0.72 × x = 432
x = 432/0.72 = 600
Therefore, the original selling price of the ski set, x = $600
find a number if 0.7 of it is 3.43.
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
Pls help me!!!!!!!!!!!!!!!
Answer:
The answer is B. and C.
Answer:
i think it will be c
Step-by-step explanation:
ANSWER QUICKKKKK ILL GIVE U BRAINLEST IF U ALSO SHOW STEPS 20 points
Find the equation of the line that is:
Parallel to 2x – 4y = 8 and has the same y-intercept as 5x + y -10 = 0
Answer:
y = 1/2 x + 10
Step-by-step explanation:
The equation should be in format
y = mx + b with m being the slope and b being the y-intercept.
The y-intercept of 5x + y - 10 = 0 is the same as the y-intercept of the unknown equation. The y-intercept of 5x + y - 10 = 0 is 10, so now our unknown equation is y = mx + 10.
Two parallel lines have the same slope but different y-intercepts, so we just need the slope of 2x - 4y = 8, which in the y = mx + b form, is y = 1/2 x - 2. Now, we just copy the slope of y = x/2 - 2 to the slope of the unknown equation, which results in y = 1/2 x + 10.
In conclusion, the unknown equation that is parallel to 2x - 4y = 8 and shares the same y-intercept as 5x + y - 10 = 0 is y = 1/2 x + 10
plz quick! 100 pts
A shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?
a. 2
b. 4
c. 6 2/3
d. 5
Answer:
Hmm I think D but don't take my word for it just a guess
Step-by-step explanation:
Solve the system using substitution. show work.
x=y−6
y=6−3x
Answer:
y=6
x=0
Step-by-step explanation:
X=(y-6)
y=(6-3x)
So For Y
y=6-3(y-6)
y=6-3y+18
add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6
and for X just plug in whats in (y)
x=(6-3x)-6
So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0
Convert y=x^2-4x-2 to vertex form
Hopefully this can help you
ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. at this rate, how many miles can he drive on 1 gallon of gas
Answer:
22 miles per gallon
Step-by-step explanation:
5.5 x 4 =
5 x 4 = 20
0.5 x 4 = 2
20 + 2 = 22
22 mi/ga
Question: Tell whether each function is linear or non-linear.
Choices:
A. Function A is non-linear and Function B is non-linear.
B. Function A is linear and Function B is non-linear.
C. Function A is linear and Function B is linear.
D. Function A is non-linear and Function B is linear.
Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.
Answer:
D. Function A is non-linear and Function B is linear.
Step-by-step explanation:
A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.
So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.
Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.
The solution is Option D.
Function A is non-linear and Function B is linear.
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
Let the first equation be A
Let the second equation be B
where
The function A is represented by y = x³
The function B is represented by y = -x + 5
Now ,
We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph
The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1
So , the function B y = -x + 5 is linear
Hence , the Function A is non-linear and Function B is linear.
To learn more about linear equation in 2 variables click :
https://brainly.com/question/11897796
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4x - 2y = 5 and y = 3x - 1
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.
(Note: use whole numbers only, do not type the degree
symbol or the word)
Answer:
x = 13
y = 7
Step-by-step explanation:
✔️Recall that sum of the interior angles of a ∆ = 180°
Therefore:
(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)
Solve for x
3x - 3 + 4x + 20 + 7x - 19 = 180
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
✅x = 13
✔️Recall also that an isosceles has two equal sides, therefore:
8y - 7 = 5x - 16
Plug in the value of x
8y - 7 = 5(13) - 16
8y - 7 = 65 - 16
8y - 7 = 49
Add 7 to both sides
8y = 56
Divide both sides by 8
✍️y = 7
Can you help meh pls:)
Answer:
The answer is Charlie.
Step-by-step explanation:
Which expression is equivalent to 4(7c+3)+5?
A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20
Answer:
C
Step-by-step explanation:
28c +12 +5 which is the answer choice C
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
Should be around 4.5
Step-by-step explanation:
If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
Lisa had 4.25 in her purse she brought some school supplies for $2.75 how much money does lisa have left
Answer:
1.50 $
Step-by-step explanation:
Hope this helps!
Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?
Answer:
They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.
Step-by-step explanation:
If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)
3. The price of a pair of shoes is $64.00 plus 9% sales tax. What is the sales tax on this pair of shoes in dollars and cents? A. $5.76 B. $57.60 $69.716) D. $78.00
Step-by-step explanation:
To figure out this answer, you need to figure out how much 9% is in $64.00
? 9
------- = --------
64 100
Now to solve this you have to multiply diagonally and divide the neighbor
(let me explain)
basically in this case, you would multiply 64 and 9, then divide by 100
64 * 9 = 576
576 / 100 = $5.76
In short: your answer is 'A' $5.76
Hope this helps <3
Will you please help me with this problem
Answer:
A
Step-by-step explanation:
if you want the step by step, let me know (:
Answer:
a
Step-by-step explanation:
how do you find the interior angle in a heptagon
Answer:
A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides
when you consider that cows eat grass and the water needed to grow the grass that cows eat it takes 65 gallons
Please help asap- will give brainliest:
See the image attached and choose ONE
Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plurality election
Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest
Answer:
the explanation contains numbered sticky notes please follow them in order and i do encourage you to follow along somewhere.
merry christmas :)
x = 67,
y = 124
Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.
Question 1 options:
329.04 inches squared
164.52 inches squared
221.04 inches squared
272.52 inches squared
Answer: 221.04 inches squared
Step-by-step explanation: