Question 15 of 41
What is the ratio for the volumes of two similar spheres, given that the ratio of their radii is 3:5?
A. 9:25
B. 27:125
C. 125:27
D. 25:9
SUBMIT

Answer:

sqrt(3) /3

Step-by-step explanation:

1 / sqrt(3)

Multiply the top and bottom by sqrt(3)

1/ sqrt(3) * sqrt(3)/ sqrt(3)

sqrt(3) /  sqrt(3)*sqrt(3)

sqrt(3) /3

Answer:

[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]

Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

Answer:

x + ×-4 > or =104

X> or =54

am I right please ?

the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x

Hence, the possible value for x is 54

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Answer:

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

Step-by-step explanation:

Given the data:

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152

Sample size, n = 15

The first quartile, Q1 = 1/4(n+1)th term

Q1 = 1/4(15+1)th term

Q1 = 1/4(16) = 4th term

Q1 = 87

The Median , Q2 = 1/2(n+1)th term

Q2 = 1/2(15+1)th term

Q2 = 1/2(16) = 8th term

Q2 = 102

The third quartile, Q3 = 3/4(n+1)th term

Q3 = 1/4(15+1)th term

Q3 = 3/4(16) = 12th term

Q3 = 115

The interquartile range, IQR = Q3 - Q1

IQR = (115 - 87) = 28

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

Answer:

(8x3)x4+(3x3)x2=114

Step-by-step explanation:

Answer:

3rd option, $672

Step-by-step explanation:

The area is,

(4×12)+(8×10)

= 128

per square foot it costs $5.25, so the total cost will be,

128×$5.25

= $672

Answered by GAUTHMATH

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

Answer:

Given:- [tex]y=-5x^3+10x+20[/tex]

A parabola attain maximum height at the vertex: formula to find x-coordinate of vertex is, [tex]x=-\frac{b}{2a}[/tex]

plug in a=-5 and b=10

so, [tex]x=-\frac{10}{2(-5)} =-\frac{10}{-10} =1[/tex]

Now plug in x=1 to get maximum height,

[tex]y=-5(-1)^2+10(1)+20[/tex]

[tex]=-5+10+20[/tex]

[tex]=+25[/tex]

so, maximum heigh reached by the rocket was 25 yards

Rocket will hit the ground when y=0

[tex]0=-5x^2+10x+20[/tex]

[tex]0=-5(x^2-2x-4)[/tex]

[tex]\frac{0}{-5} =\frac{-5}{-5} (x^2-2x-4)[/tex]

So, [tex]x^2-2x-4=0[/tex]

quadratic formula is,

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

plug in a=1, b=-2,and c=-4

[tex]x=-\frac{(-2)=-\sqrt{(-2)^2-4(1)(-4)} }{2(1)}[/tex]

[tex]=\frac{2=-\sqrt{4+16} }{2}[/tex]

[tex]=\frac{2+-\sqrt{20} }{2}[/tex]

[tex]=\frac{2+-2\sqrt{5} }{2}[/tex]

[tex]=1+-\sqrt{5}[/tex]

[tex]=1-\sqrt{5} ,1+\sqrt{5}[/tex]

[tex]=1-5.236,1+2.236[/tex]

[tex]=-1.236,3.236[/tex]

So, it takes 3.2 seconds to hit the ground.

OAmalOHopeO

Answer:

Step-by-step explanation:

If [tex]y=x^2-2x+5-6x[/tex] then

[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).

[tex]\frac{dy}{dx}=2x-8[/tex]

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

Answer:

6÷3

=2

So each chimpanzee Will get 2 bananas

Answer:

11:35

Step-by-step explanation:

add 13 hour and 45 minutes to 1:50 giving you 4:35 and since the time is 7 hours ahead add another 7 hours and tada

The arrival time in Colombo is 10:35 pm.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, First, we need to convert 13 hours and 45 minutes to just hours.

We can do this by dividing the minutes by 60:

45 minutes ÷ 60 = 0.75 hours

So the total flight time is,

13 + 0.75 = 13.75 hours.

Next, we need to add the time difference between London and Colombo. Since Colombo is 7 hours ahead of London, we need to add 7 hours to the total flight time:

13.75 hours + 7 hours = 20.75 hours

Now we need to convert this to a time.

Since the flight left at 01:50, we can add 20 hours and 45 minutes to find the arrival time in Colombo:

01:50 + 20:45 = 22:35

So, the arrival time in Colombo is 10:35 pm.

Learn more about the addition visit:

https://brainly.com/question/25421984

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Answer:

The answer of this question is 134.83

Answer:

3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then

3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x

x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)

x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r

x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r

x= p + 7q - 6r→x=p+7q−6r

Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Answer:

5p+3q-6r

Step-by-step explanation:

4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r

if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r​

Answer:

Y = 27

Step-by-step explanation:

To find the the value of y when x = 4 simply substitute the given value of x

into the equation and solve for y

Equation given: y - 3x = 15

x = 4 * substitute 4 for x in given equation *

y - 3(4) = 15

Now solve for y

simplify multiplication

y - 12 = 15

Add 12 to both sides

y - 12 + 12 = 15 + 12

y = 27

So we can conclude that when x = 4 y = 27

Answer:

y = 27

Step-by-step explanation:

y - 3x = 15

Let x = 4

y - 3(4) = 15

y - 12 = 15

Add 12 to each side

y -12 +12 =15+12

y = 27

The measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have angles shown in the picture.

Angle AFB = 25 degrees

Angle BFC = 57 degrees

Angle CFD = 34 degrees

Angle DFE = 57 degrees

Angle AFE is the sum of the angle AFB, Angle BFC, Angle CFD, and Angle DFE.

Angle AFE = Angle AFB + Angle BFC + Angle CFD + Angle DFE

Angle AFE = 25 + 57 + 34 + 57

Angle AFE = 173 degrees

Thus, the measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ5

Answer:

4.5

Step-by-step explanation:

9/2 = 4.5

Answer:

<4 and <3

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.

I hope this helps.

Answer:

angles 4 and 3

Step-by-step explanation:

its the right answer

Answer:

The solution to above problem is 1- $45n 2- $(250+28n) 3- $(500+20n)

Step-by-step explanation:

Answer:

-1/3 · Ix+4I + 5

or

y∠ - Ix+4I -15

            3

Step-by-step explanation:

hope this helped

Answer: Rs. 35,000

Step-by-step explanation:

The taxable income is:

= Yearly income - Tax exemption

= 500,000 - 150,000

= Rs. 350,000

The tax on the first Rs. 2,000,000 is 10% which means that tax is:

= 350,000 * 10%

= Rs. 35,000

Their LCM is

70

hope it helps you.

Answer:

Their L.C.M IS

70....

IT IS YOUR ANSWER

Answer:

(-6,2)

Step-by-step explanation:

Answer: y= 1x+1

Step-by-step explanation:

The slope- intercept form is y=mx+b.

m is the slope(rise over run) and b is the y-intercept.

With this knowledge and the graph, m is 2/2 or 1, and b is 1.

Answer:

add 3, add 5, add 3

Step-by-step explanation:

1, 4, 9, 12

add 3, add 5, add 3

Answer:

x^2

Step-by-step explanation:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

And so on.

So, the rule is x^2.

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem

diagonal² = 16² + 12² = 400

diagonal = √400 = 20 cm

Answer:

[tex]9[/tex]

Step-by-step explanation:

Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].

Therefore, simplify:

[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]9[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

i hope these 3 images helps