Step-by-step explanation:
Given radii ratio is 2:3 and height ratio 5:3
Let the radius be 2x,3x and height be 5y,3y
V1= π(2x²) ×5y
V2 =π(3x)² ×3y
V1= (2×2)² ×5 *π = 20π
V2= (3×3)² ×3 *π = 27π
V1/V2 = 20π\27π
=20\27
=20:27
Answer:5:9
Step-by-step explanation:
Which of the ordered pairs in the form (x,y)is a solution of this equation?
6x - 5y = 1
Question 1 options:
(-4,-5)
(5.-6)
(1,-1)
None are solutions
apply the distributive property 3(7x+1)
Answer:
[tex]\displaystyle 3 + 21x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3[7x + 1] \hookrightarrow \boxed{21x + 3}[/tex]
I am joyous to assist you at any time.
What is the solution to this inequality?
x/9 + 7 ≥ 10
Answer:
x ≥ 27
Step-by-step explanation:
x/9 + 7 ≥ 10
Subtract 7 from each side
x/9 + 7-7 ≥ 10-7
x/9 ≥ 3
Multiply each side by 9
x/9 *9 ≥ 3*9
x ≥ 27
Answer:
X>27
Step-by-step explanation:
Your Welcome
Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Answer:
$4.85Step-by-step explanation:
John spent and gave to his two friends a total of
1.25 + 1.20 + 1.20 = $3.65
Money left
8.50 - 3.65 = $4.85
-------------------------------------------------------------------------------------------------------------
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
$4.85
Step-by-step explanation:
Given;
Little John had $8.50
Spent $1.25 on sweets
Gave 2 friends $1.20
Step 1; [Solve Spend on Sweets]
$8.50 - $1.25=7.25
Step 2; Find amount given to his 2 friend]
[Gave $1.20 to each of his 2 friends]
$1.20 x 2 = 2.40
7.25 - 2.40=4.85
Hence, Little John have $4.85 is left
[RevyBreeze]
You order a pizza for dinner. The circumference of the pizza is 31.4 inches. What are the radius and diameter of the pizza? What is the area of the pizza?
Answer:
Diameter: 10 inch
Radius: 5 inch
Area: 78.54 inch
I hope I'm right let me know
Need help !!! Which figures demonstrate a reflection ? Select each correct answer.
Answer:
4th one
Step-by-step explanation:
They are both L's on either side.
Answer:
Ánswer 4th one ..I think
please help this is due tomorrow
Answer:
Temperature is the measure of hotness or coldness expressed in terms of any of several scales. An example would be "The cup of beans are boiling hot and has a temperature of 100 °C, whereas the water in the tub is just comfortably warm, with a temperature of about 38 °C. Although the water in the tub has a much lower temperature, it has greater thermal energy".
Step-by-step explanation:
of 0.1 - ? 0.1 as a fraction
Answer:
0.1 as a fraction is 1/10
Step-by-step explanation:
Answer:
the answer is 1/10•••••••••
Solve the equation using elimination
2x - 3y = 9
5x + 3y = 12
Answer:
Step-by-step explanation:
ΔABC and ΔDEF appear to be similar. Which set of measurements prove that the two triangles are similar?
Answer:
C.
Step-by-step explanation:
Similar triangles have congruent corresponding angles, and proportional corresponding sides.
The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)
__
The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)
The remaining choices have side ratios of ...
B. DE : DF = 16 : 21 ≠ 3 : 4
C. DE : DF = 12 : 16 = 3 : 4
The set of measurements that would make ΔABC ~ ΔDEF is ...
DE = 12, DF = 16, and ∠D = 35°
1) Find the minimum and maximum values for the function with the given domain interval. Round your answers to the nearest thousandth. m(x) = ln x, given 1/10 ≤ x ≤ 1/5
The function m(x) = ln x is a natural logarithm function
The minimum value is -2.30 and the maximum value is - 1.61
How to determine the minimum and maximum values?The function is given as:
m(x) = ln x
The domain is given as:
1/10 ≤ x ≤ 1/5
At x = 1/10, we have:
m(1/10) = ln (1/10)
m(1/10) = -2.30
At x = 1/5, we have:
m(1/5) = ln (1/5)
m(1/5) = -1.61
So, we have: -2.30 ≤ m(x) ≤ -1.61
Hence, the minimum value is -2.30 and the maximum value is - 1.61
Read more about functions at:
https://brainly.com/question/13473114
Answer:
The minimum value is -2.303 and the maximum value is -1.609.
Step-by-step explanation:
[tex] \left \lgroup\displaystyle\rm \sum_{k=0}^{\infty}{1\over k!}\int_0^{\infty}{\cos(x)\over \displaystyle x^2+1}\text{d}x \over \displaystyle \rm \int_0^\infty{\sqrt{x}\over x^2+2x+5}dx \right \rgroup^{2} [/tex]
I use complex analysis to compute the integrals in question.
First, notice that the first integrand is even:
[tex]\dfrac{\cos(-x)}{(-x)^2+1}=\dfrac{\cos(x)}{x^2+1}[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\int_{-\infty}^\infty\frac{\cos(x)}{x^2+1}\,dx[/tex]
Consider a contour C that's the union of
• Γ, a semicircle of radius R in the upper half-plane, and
• the line segment connecting the points (-R, 0) and (R, 0)
On Γ, we have [tex]z=Re^{it}[/tex] with 0 ≤ t ≤ π.
Consider the complex function
[tex]f(z)=\dfrac{e^{iz}}{z^2+1}[/tex]
and notice that our original integrand is the real part of f(z). Then the integral of f(z) over C is
[tex]\displaystyle\int_Cf(z)\,dz=\lim_{R\to\infty}\left(\int_{-R}^Rf(z)\,dz+\int_\Gamma f(z)\,dz\right)[/tex]
As R → ∞, the first integral on the right is exactly twice the one we want. Estimate the second one to be bounded by
[tex]\displaystyle\left|\int_\Gamma f(z)\,dz\right|\le\pi R|f(z)|\le\frac{\pi R}{R^2-1}[/tex]
since
[tex]|z^2+1|\ge\bigg||z^2|-|-1|\bigg|=|R^2-1|[/tex]
and so the integral along Γ vanishes.
f(z) has only one pole in the interior of C at z = i. By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\,\mathrm{Res}\left(f(z),z=i\right)=2\pi i\lim_{z\to i}(z-i)f(z)=\frac\pi e[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\mathrm{Re}\left(\int_Cf(z)\,dz\right)=\frac\pi{2e}[/tex]
For the second integral, we recall that for complex z,
[tex]\sqrt z=\exp\left(\dfrac12\left(\ln|z|+i\arg(z)\right)\right)[/tex]
Consider a keyhole contour C, the union of
• [tex]\Gamma_R[/tex], the larger circle with radius R and [tex]z=Re^{it}[/tex], with 0 < t < 2π ;
• [tex]\Gamma_\varepsilon[/tex], the smaller circle with radius ε and [tex]z=\varepsilon e^{-it}[/tex], with 0 < t < 2π ;
• [tex]\ell_1[/tex], the line segment above the positive real axis joining [tex]\Gamma_\varepsilon[/tex] to [tex]\Gamma_R[/tex] ; and
• [tex]\ell_2[/tex], the other line segment below the positive real axis joining [tex]\Gamma_R[/tex] to [tex]\Gamma_\varepsilon[/tex]
Then
[tex]\displaystyle\int_Cf(z)\,dz=\int_{\Gamma_R}f(z)\,dz+\int_{\ell_1}f(z)\,dz+\int_{\Gamma_\varepsilon}f(z)\,dz+\int_{\ell_2}f(z)\,dz[/tex]
and in the limit, the integral over [tex]\ell_1[/tex] converges to the one we want.
Estimate the integrals over the circular arcs:
• [tex]\Gamma_R[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_R}f(z)\,dz\right|\le2\pi R|f(Re^{it})|\le\dfrac{2\pi R^{3/2}}{|R-\sqrt5|^2}\to0[/tex]
as R → ∞.
• [tex]\Gamma_\varepsilon[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_\varepsilon}f(z)\,dz\right|\le2\pi \varepsilon|f(\varepsilon e^{-it})|\le\dfrac{2\pi\varepsilon^{3/2}}{|\varepsilon-\sqrt5|^2}\to0[/tex]
as ε → 0.
Consider the integral over [tex]\ell_2[/tex] :
[tex]\displaystyle\int_{\ell_2}f(z)\,dz=\int_R^\varepsilon\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_R^\varepsilon\frac{\exp\left(\dfrac12\left(\ln|z|+2\pi i\right)\right)}{z^2+2z+5}\,dz\\\\=-\int_R^\varepsilon\frac{\exp\left(\dfrac12\ln|z|\right)}{z^2+2z+5}\,dz\\\\=\int_\varepsilon^R\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_{\ell_1}f(z)\,dz[/tex]
so in fact,
[tex]\displaystyle\int_Cf(z)\,dz=2\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx[/tex]
By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\sum_{\rm poles}\mathrm{Res}\,f(z)[/tex]
We have poles at z = -1 + 2i and z = -1 - 2i. On our chosen branch,
[tex]\sqrt{-1+2i}=i\sqrt[4]{5}\exp\left(-\dfrac i2\tan^{-1}(2)\right)[/tex]
[tex]\sqrt{-1-2i}=i\sqrt[4]{5}\exp\left(\dfrac i2\tan^{-1}(2)\right)[/tex]
The residues are
[tex]\mathrm{Res}(f(z),z=-1-2i)=\dfrac{i\sqrt[4]{5}\exp\left(\frac i2\tan^{-1}(2)\right)}{-4i}[/tex]
[tex]\mathrm{Res}(f(z),z=-1+2i)=\dfrac{i\sqrt[4]{5}\exp\left(-\frac i2\tan^{-1}(2)\right)}{4i}[/tex]
Their sum is
[tex]\displaystyle\sum_{\rm poles}\mathrm{Res}\,f(z)=-\frac{\sqrt[4]{5}}2\sin\left(\dfrac12\tan^{-1}(2)\right)=-\frac{\sqrt[4]{5}}2\sqrt{\frac{5-\sqrt5}{10}}=-\frac i2\sqrt{\frac1\phi}[/tex]
where ɸ = (√5 + 1)/2 is the golden ratio, and so the overall integral is
[tex]\displaystyle\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx=\frac\pi2\sqrt{\frac1\phi}[/tex]
Lastly, recall
[tex]\displaystyle\sum_{k=0}^\infty\frac1{k!}=e[/tex]
Then our expression reduces to
[tex]\left(\dfrac{e\times\frac\pi{2e}}{\frac\pi2\sqrt{\frac1\phi}}\right)^2=\boxed{\phi}[/tex]
Which of the relations below is not a function?
Pleasure that’s for today
Thanks <3...
Answer:
C
Step-by-step explanation:
In the relation stated in C the x values repeat. This shows that each x value doesn't have its own y value. By the definition of functions, this means that C cannot be a function
What’s the answer?
-6 x (-8)=____
Answer:
48 because when dividing, the negatives cancel out making it a positive. and the parentheses don't really matter.
Answer:
Multiply 8 by 6. It's 48.
The negatives cancel out when multiplying and dividing. However, it's different when adding or subtracting.
[tex]8*6=48[/tex]
Hope this helps!If it does, give thanks!Mrs. Williams is deciding between two field trips for her class. The Science Center
charges $114 plus $3 per student. The Dino Discovery Museum simply charges $6
per student. For how many students will the Science Center charge less than the
Dino Discovery Museum?
For more than
students.
HELP!!!!
Science Center: 114 + (3 * x)
Dino Museum: 6 * x
114+(3*x) = 6*x
114+(3*39) = 6*39
114+117 = 234
231 = 234
There needs to be at least 39 students for the science center to cost less than the dino discovery museum. Hope this helps! Please mark brainliest:)
How much sleep does a jaguar get in 1 year? The amount of sleep is ________ hours.
Chart jaguar 77 {usual hours per week}
Answer:
Jaguars sleep to about 15-18 hours a day so multiply that by how many days are in a year.
Write each equation in slope-intercept form.
19. y - 4 = 3(x - 2)
20. y + 2 = -(x + 4)
21. y - 6 = -2(x + 2)
22. y + 1 = -5(x - 3)
23. y - 3 = 6(x - 1)
24. y - 8 = 3(x + 5)
Help me plz
Answer:
The picture is the answer. Hope it's all correct. Good luck
The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it?
$4.87
$7.74
$9.74
$19.48
Answer:
The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C
Step-by-step explanation:
The form of the linear equation is;
y = m x + b, where
m is the slope of the line (The rate)b is the y-intercept (initial amount, value y at x = 0)∵ The value of a collectible coin can be represented by the equation
y = 2 x + 9.74
→ Compare it with the form of the linear equation above
∴ m = 2
∴ b = 9.74
∵ x represents the number of years that Consuelo has owned the coin
∵ y represents the total value, in dollars, of the coin
→ That means the value of y at x = 0 is the value of the coin when
Consuelo originally purchased it
∵ b represents the value of y at x = 0
∵ b = 9.74
∴ The value of the coin when Consuelo originally purchased it is $9.74
Answer:
c
Step-by-step explanation:
In order to find the value of sin K in △JKL, which of the following ratios needs to be used?
A
JLJK
B
KLJL
C
JKKL
Answer:
Im pretty sure its B
Step-by-step explanation:
The ratio to be used to find sink is A. JL : JK
What is sine of an angle?The sine of an angle is the ratio of perpendicular to its hypotenuse.
Mathematically,
Sine of an angle = Perpendicluar/Hypotenuse
Now, it is given that a △JKL.
To find sine K we need to find the hypotenuse and Perpendicular of the triangle.
Since, Sine of an angle = Perpendicluar/Hypotenuse
So, sin K = Perpendicluar/Hypotenuse
Since K is the angle given so opposite of the angle K must be the perpendicular.
So, Perpendicular of the △JKL = JL
So, Hypotenuse of △JKL = JK or KL.
Since from the given option, it can be concluded that JK is the hypotenuse of △JKL.
Therefore, sin K = JL/JK
Thus, the ratio to be used to find sink is A. JL : JK
To learn more about ratio:
https://brainly.com/question/22285396
#SPJ2
HELP ME PLS This pattem follows the "add 3" rule What is the next number in the pattern? 3. 6. 9. 12, 15,
Answer:
18
Step-by-step explanation:
Since it's an add 3 rule, you need to add 3 to 15
3+15=18
On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).
What is the rule for the reflection?
A. rx-axis(x, y) → (–x, y)
B. ry-axis(x, y) → (–x, y)
C. rx-axis(x, y) → (x, –y)
D. ry-axis(x, y) → (x, –y)
Answer:
B. Ry-axis(x, y) → (–x, y)Step-by-step explanation:
As per the graph we see that:
Reflection over y-axis, y- coordinates remain as is, x- coordinates change to oppositeSo the rule is:
Ry-axis (x, y) → ( - x, y)Correct option is B
Answer:
B. ry-axis(x, y) → (–x, y)
Step-by-step explanation:
Took the quiz, hope this helps! :)
One travels due south at an average speed of 58 miles per hour, and the other travels due north at an average speed of 49 miles per hour. After how many hours will the two trucks be 802.5 miles apart?
Answer:
424
Step-by-step explanation:
How many 10 rupees can be exchanged for ₹ 100?
Answer:
10 - 10 rupees note
Step-by-step explanation:
have a good day .please mark as brainiest
name the two pairs of parallel sides
_____ and ______
______and________
Please mark as brainliest
Answer:
1. HP and MN
2. HM and PN
Step-by-step explanation:
The parallel sides are the ones that do not touch.
HP and MN don't touch.
HM and PN also don't touch.
24% of 200 is what percent of 500
Answer:
9.6%
Step-by-step explanation:
Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?
Step-by-step explanation:
I don't see answer options, but I can very well guess what went wrong :
he used the area formula to calculate the perimeter.
the area would be length × width, in our case
6 × 5 = 30 units²
but the perimeter is 2×length + 2×width, in our case
2×6 + 2×5 = 12 + 10 = 22 units
Hello!
P= 6+5+6+5 =22u
or
2(6+5) = 2*11 => 22u
6*5 = 30 is area
Maria left her house and walked 2 miles north. Then she turned
and walked 3 miles west. How far is Maria from her house?
Round your answer to the nearest tenth.
Answer:
3.6 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]2^{2}+3^{2} =\\4 + 9 = \sqrt{13}[/tex]
√13 = 3.60555127546
Nearest tenth = 3.6
someone pls help me on my math
Answer:
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
Step-by-step explanation:
SA = 2lw + 2lh + 2wh
We know the length is 5 and the height is 8 and the width is 4
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
Which of the following pairs of numbers has 16 as their greatest common factor?
A.32,48
B.32,62
C.48,36
D.42,16
1. Estelle went to the store and bought a box of crackers for $3.79 and a package of cheese for $4.59. About how much will this cost her?
Answer: It will cost Estelle roughly $8.86
Step-by-step explanation: