Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the same height and radius as the cylinder.
Cone:
Sphere:
Answer:
Cone: 100ft^3
Sphere: 200ft^2
Step-by-step explanation:
Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:
[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]
So we can just instantly tell that the volume of the cone is 100feet^3.
Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]
[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]
So we can instantly tell that the volume of the sphere is 200feet^3
Determine if the graph of the function opens up or down. Explain how you know
Answer:
Opens up
Step-by-step explanation:
x^2+2x-15
Standard form: ax^2+bx+c
If a<0, then the graph opens down
If a>0, then the graph opens up.
In this case: 1x^2+2x-15
a=1
Since 1>0 then the graph opens up.
Help me fast please
Answer:
The answer is the third option, 20.
A ball is thrown upward from a height of 15 feet with an initial velocity of 64 feet per second. Use indefinite integrals to write the position function of the ball at time t.
Answer:
The equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
Step-by-step explanation:
We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).
And we know that acceleration can be written as a second derivative:
[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)
Now, we can take the integral in each side:
[tex]\int gdt=\int y''dt[/tex]
[tex]\int y''dt=\int -9.81dt[/tex] (2)
Solving the integral in each side we have:
[tex]y'(t)=-9.81t+C[/tex] (3)
Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.
Now, the initial conditions are:
initial height y(0) = 15 feet
initial velocity y'(0) = v(0) = 64 feet/s
Using this condition we can find C. Let's evaluate equation (3) at t = 0.
[tex]y'(0)=-9.81(0)+C[/tex]
[tex]C=64\: feet/s[/tex]
So we have:
[tex]y'(t)=-9.81t+64[/tex] (4)
Now, we need to take the integral of equation (4) to get the position function:
[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]
Solving this new integral we have:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)
Using the same method above, we can find D evaluating (5) at t = 0, we have:
[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]
[tex]D=y(0)[/tex]
[tex]D=15\: feet[/tex]
Finally, the equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
I hope it helps you!
The growth rate of Las Vegas is about 3.5% per year. If the population in 2010 was 1.35 million, what would be the expected population in 2020?
Answer:
Expected population= 1,904,308 people
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,350,000
Number of periods (n)= 10 years
Growth rate (g)= 0.035 per year
To calculate Future Value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,350,000*(1.035^10)
FV= 1,904,308 people
I need help with this question, please answer quickly.
Answer:
Flowers: 5
Vegetables: 25
Step-by-step explanation:
Cone is formed from 3200 ft of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Question :
Cone is formed from 3200 ft³ of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Answer:
11.3 feet
Step-by-step explanation:
The volume of a cone = πr²h/3
We are asked to find the radius
The formula is given as:
r = √3V/πh
V = 3200 ft³
h = 24 ft
r = √3 × 2400/π × 24
r = 11.28379 ft
Approximately = 11.3 ft
The radius in feet = 11.3 ft
Carmen said that the probability of an event occurring is 100. Is this probability possible?
Answer:
maybe
Step-by-step explanation:
45°
9
X
Find the value of x. Write your answer in simplest form.
9514 1404 393
Answer:
x = (9/2)√2 = 4.5√2
Step-by-step explanation:
We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:
9 = x·√2
9√2 = 2x . . . . multiply by √2
(9/2)√2 = x . . . divide by 2
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 245 Granny Smith apples and 133 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Type of apple Granny Smith Golden Delicious
Needed for a pie
9
5
Needed for a jar of applesauce 4
2
The farm can make
pies and jars of applesauce.
if today is Wednesday what day of the week will it be after 39 days?
Answer:
Monday, may 31, 2021
Step-by-step explanation:
:)))
4х² – 2(x² — 3х+2)
combine like terms to write a polynomial in standard form.
Step-by-step explanation:
[tex]4 {x}^{2} - 2( {x}^{2} - 3x + 2) \\ = 4 {x}^{2} - 2 {x}^{2} + 6x - 4 \\ = 2 {x}^{2} + 6x - 4 = \\ {x}^{2} + 3x - 2[/tex]
DO NOT guess just answer the question correctly.
In the equation, 3x-6y=18, what is the x-intercept?
Carrie is on Shark Tank and is offering 40% of her company for $100,000. What is the value of Carrie's company?
Answer:
I think the answer is $40,000
Step-by-step explanation:
Answer:40,000
Step-by-step explanation:
PLZ helpppp
Explain where you would draw all lines of symmetry for each shape
Answer:
AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right
Step-by-step explanation:
The Scale on a map shows that 1 inch represents 18 miles. The distance on the map between Olivia's town and her grandmother's town is 4-5 inches.
Answer:
(20 miles/inch) * (3.5 inches) = 70 miles
Step-by-step explanation:
Answer:
72-90 mile
OlivOliviOlivia‘s grandmother Town is 72 to 90 miles away
line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?
Answer: 9/8
Step-by-step explanation:
If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?
Answer:
10 more shawties
Step-by-step explanation:
30-20 = 10
Can someone please help me?
Answer:
It is C i believe
Step-by-step explanation:
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Solve the equation lol 54x+6x-30=7(x+2)+3x
Answer: 22/25
Step-by-step explanation:
54x+6x-30=7(x+2)+3x
60x-30=7(x+2)+3x
60x-30=7x+14+3x
60x-30=10x+14
60x-10x-30=14
60x-10x=14+30
50x=14+30
50x=44
x=22/25
can someone help me with this... also can you do this on paper...
here you go hope this helps!
heyy dude just wanted points. so yeah.
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
Can you please help me I am in a rush
Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .
Answer:
4/5
Step-by-step explanation:
you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction
daily limit on the videos for free answers ....completely and utterly st up id.
Answer:
I was not aware of the "daily limit" thing for answers
Step-by-step explanation:
how do i solve for x and y?
Answer:
X= 8 and y= 138
Step-by-step explanation:
IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION
Help me please thank you
Answer:
h=18.68
Step-by-step explanation:
V=( [tex]\pi[/tex] h r² )/ 3
h = 3V / r²·[tex]\pi[/tex] = 18.68
Answer:
V=3,14×6
=18,68
A.16,68 feet
Find the slope of each line.
plsssss help
the slope of this line is either A) 3 or C) 1
I think its 3
I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here