The height of the cylinder is 6 units.
What is cylinder?A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.
Volume = π × radius² × height
Let the height of 3x then the radius will be x,
24π = π × x² × 3x
24 = 3x³
x = ∛8
x = 2
Therefore, height = 6
Hence, the height of the cylinder is 6 units.
Learn more about cylinders, click;
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What is -2.53 rounded to the nearest hundredth
Answer:
-2.50
Step-by-step explanation:
3 is closer to 0then 10
Answer:
-2.53
Step-by-step explanation:
Already rounded to the nearest Hundredth
Does this graph show a function? Explain how you know.
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
Which of the following is an arithmetic sequence with common difference –5?
A: 8, 3, -2, -7
B: 5, -25, 125, -625
C: 5, 25, 125, 625
D: 0, 5, 10, 15
Answer:
A
Step-by-step explanation:
because 3-8= -5
and -2-3=-5
Please help, explain too and I will give brainliest :)
Answer:
c
Step-by-step explanation:
Answer:
C. 37 degrees
Step-by-step explanation:
27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.
I'm sure you can do it with an actual formula, but i can't recall. Cheers
1. Resuelve las ecuaciones:
a. x2 + 12x + 32 = 0
b. 9x2 +6x + 1 = 0
2. Resuelve las ecuaciones:
a. 2x2 +5x = 0
b. 2x2 -32 = 0
3. Calcula el valor de m para que la ecuación x2 + mx + 9 = 0 tenga solución doble.
4. Resuelve las ecuaciones:
a. x4 - 25x2 + 144 = 0
b. x4 + 9x2 - 162 = 0
AYUDA ;v
Answer:
1. a) x1 = -8 y x2 = -4
b) x1 = -1/3
2. a) x1 = 0 y x2 = -5
b) x1 = 4 y x2 = -4
3. m debe ser 6. Asi tendriamos (x+3)²=0
4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3
b) x1 = 3, x2 = -3 las otras dos raices son complejas.
Step-by-step explanation:
1. a) [tex]x^{2}+12x+32=0[/tex]
Factorizando:
[tex](x+8)(x+4)=0[/tex]
Entonces: x1 = -8 y x2 = -4
4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3
b) [tex]9x^{2}+6x+1=0[/tex]
Factorizando:
[tex](3x+1)(3x+1)=0[/tex]
[tex](3x+1)^{2}=0[/tex]
Entonces: x1 = -1/3
2. a) [tex]2x^{2}+5x=0[/tex]
Aplicando factor comun:
[tex]x(x+5)=0[/tex]
Entonces: x1 = 0 y x2 = -5
b) [tex]2x^{2}-32=0[/tex]
Despejamos x.
[tex]2x^{2}=32[/tex]
[tex]x^{2}=16[/tex]
Entonces: x1 = 4 y x2 = -4
3. m debe ser 6. Asi tendriamos (x+3)²=0
4. a) [tex]x^{4}-25x^{2}+144=0[/tex]
Hacemos cambio de variable: [tex]w=x^{2}[/tex]
[tex]w^{2}-25w+144=0[/tex]
Ahara podemos factorizar:
[tex](w-16)(w-9)=0[/tex]
Usando el cambio de variable nuevamente.
[tex](x^{2}-16)(x^{2}-9)=0[/tex]
Entonces los valores de x son: x1 = 4, x2 = -4, x3 = 3 y x3 = -3
b) [tex]x^{4}+9x^{2}-162=0[/tex]
Hacemos cambio de variable: [tex]z=x^{2}[/tex]
[tex]z^{2}+9z-162=0[/tex]
Ahara podemos factorizar:
[tex](z-9)(z+18)=0[/tex]
Usando el cambio de variable nuevamente.
[tex](x^{2}-9)(x^{2}+18)=0[/tex]
Entonces los valores de x son: x1 = 3, x2 = -3 las otras dos raices son complejas.
Espero ye haya servido!
c. Suppose you are given the functa. If f(x) = 10x − 1, the value of f(−2) is __________. b. If g(x) = −5x + 13, the value of g(1) is __________. c. If h(x) = x2 − x − 12, the value of h(3) is __________.ion h(x) = −2x + 3 and asked for h(4). This is the same as asking for the value of the function at x = __________.
Answer:
c. f(-2)= -21
b. g(x)=8
c. h(3)= -19
h(4)= -5
Step-by-step explanation:
pls help me solve this multiplication fractions. (show work)
Answer:
32:3/4
33:4/3
34:40
35:48
HELP ME WITH THIS PROBLEM PLEASE!!
Answer:
w ≈ 33.9 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
w² + w² = 48²
2w² = 2304 ( divide both sides by 2 )
w² = 1152 ( take the square root of both sides )
w = [tex]\sqrt{1152}[/tex] ≈ 33.9 in ( to the nearest tenth )
PLEASE HURRY PLEASSEEEE i need help
Answer:
5
Step-by-step explanation:
We cannot repeat an x value for the relation to be a function
Since x=3 ,4, 7 are already used
We must let x=5
What is the standard form of the ellipse equation
25x2 - 150x + 9y2 = 0?
O
(x - 3)2
32
y
1
+
52
0 (x - 5)
1
y2
22
(y - 3)2
22
0x2
+
14
1
O
x2
32
(y - 3)2
22
= 1
Answer: The correct answer is in the first option.
Step-by-step explanation:
Equation of an Ellipse
[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]
[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]
Hellllllllp plsss!! Due in very soon maths
Answer: 23, 27,29
Those im absolutely positive about.
Im not sure abt the rest
Step-by-step explanation:
need help with this question ! :(
Which of the following is the value of y that solves the system of equations shown below?
2x + 3y = -14
x - y = 3
———————————————
(1) -4
(2) -2
(3) 7
(4) 4
thank you to anyone who answers this i appreciate it :))
Answer:
-4
Step-by-step explanation:
2x + 3y = -14
x - y = 3
Multiply the second equation by -2 to eliminate x
2x + 3y = -14
-2x +2 y = -6
-----------------------
5y = -20
Divide by 5
5y/5 = -20/5
y = -4
Answer:
Step-by-step explanation:
Can someone please help me out with a small explanation thank you :)
Step-by-step explanation:
1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.
2. one term is monomial
two terms is binomial
3. b
4. -9
5. c
Rewrite as a simplified fraction please! Btw please be aware of the repeating symbol on the 8!
If x = 0.888…, then 10x = 8.888… and
10x - x = 9x = 8 ==> x = 8/9
Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?
Answer:
It will take him 10 minutes to jog 1 mile.
Step-by-step explanation:
can i have brianliest please
Please solve this question 3(n+4)=5n?
Answer:
6=n
Step-by-step explanation:
Hi there!
We are given this equation:
3(n+4)=5n
And we need to solve it for n
To do that, we need to isolate n on one side
But we need to open up the parentheses on the left side by doing the distributive property
Multiply both n and 4 by 3
3n+12=5n
Now subtract 3n from both sides to remove it from the left side
12=2n
Divide both sides by 2 to change the coefficient on n from 2 to 1
6=n
n is now isolated on one side
Hope this helps!
Answer:
n=6
Step-by-step explanation:
Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.
i need help A S A P!
Answer:
ewfwefwfewfwfwe
Step-by-step explanation:
what would be the answer?
Answer:
A
Step-by-step explanation:
As two angles are same which means 3rd also is equal which means aaa axiom
If the woman in the picture below measured the angle of elevation from herself to the top of castle and found it to be 64 degrees, and she also measured the distance from herself to the base of the castle as being 124 meters, what would the height of the castle be? (round to the nearest whole meter.)
Answer:
254m
Step-by-step explanation:
The setup will be in form of a right triangle. Hence;
The angle of elevation = 64degrees
distance from herself to the base of the castle = 124 meters (Adjacent)
Required
Height of the castle (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 64 = H/124
H = 124tan64
H = 124(2.05030)
H = 254.23
H ≈ 254m
Hence the height of the castle to the nearest whole meters is 254metres
A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction will be delivered?
Answer:
4 days
Step-by-step explanation:
The time it would take the group of 40 workers to deliver the work, [tex]t_{estimated}[/tex] = 16 days
The number of workers that retired after 4 days = 10 workers
Therefore, the number of workers remaining = 40 - 10 = 30 workers
The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days
The amount of work done in 4 days = 40 × 4 = 160 work days
The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days
The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;
n = 480 work days/(30 workers) = 16 days
The actual total number of work days it took for the work to be delivered, [tex]t_{actual}[/tex] = 4 days + 16 days = 20 days
The number of days delay the construction will be delivered, [tex]t_{delay}[/tex], is given as follows = [tex]t_{actual}[/tex]
[tex]t_{delay}[/tex] = [tex]t_{actual}[/tex] - [tex]t_{estimated}[/tex]
∴ [tex]t_{delay}[/tex] = 20 days - 16 days = 4 days
The number of days delay the construction will be delivered, [tex]t_{delay}[/tex] = 4 days
What is [tex]\pi r^2[/tex] ?
Answer:
The formula to determine the area of the circle.
Step-by-step explanation:
↔
Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?
Answer:
$6778.36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 6000
r = 5% = 0.05
n = 1
t = 2.5
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 6000(1 + \frac{0.05}{1})^{1 \cdot 2.5}[/tex]Simplify: [tex]\displaystyle A = 6000(1.05)^{2.5}[/tex]Evaluate: [tex]\displaystyle A = 6778.36[/tex]What is the surface area of the cone?
Answer: C
Step-by-step explanation:
To find the surface area of a cone, you use the formula [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Since we are already given the height and radius, all we have to do is plug in the values and solve.
[tex]A=9\pi (9+\sqrt{41^2+9^2} )[/tex] [solve inside of square root]
[tex]A=9\pi (9+\sqrt{1762} )[/tex] [parenthesis]
[tex]A=9\pi (50.976 )[/tex] [multiply]
[tex]A=458[/tex]
Therefore, the closest answer is C.
what is the account balance of an investment of 7,500after 25 years in an account earning 8% interest compounded continuously
Find the volume
Help me please
Answer:
54piecm^3
Step-by-step explanation:
pie x radius ^2 x h
= v
pie x 9
= 9pie x 6
= 54pie
Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP
Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm
The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²
∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01
[tex]\overline{OP}[/tex] = √26.01 = 5.1
The length of OP = 5.1 cm
The slope of a line is 5/9 and the slope of another line is -975. The two lines
are
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
geometry help translations
Answer:
A' (9,4)
B' (8,-1)
C' (5,1)
Answered by GAUTHMATH
Answer:
A' = 9,4
B' = 8,-1
C' = 5,1
Step-by-step explanation:
what would be the u to usub and what would be the steps to solving this integral?
Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).
Then substituting u = ln(x) and du = dx/x gives
[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]
Ah(t)
1800-
A ball is dropped from a height of 1296 ft. Its height h,
in feet, after t seconds is given by h(t) = 1296 - 1612.
After how long will the ball reach the ground?
0 0
1296
0-
0
12
The ball will reach the ground in seconds.
(Type an integer or a simplified fraction.)