Answer:
[tex] V_1 : V_2= 2197 : 729[/tex]
Step-by-step explanation:
Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.
[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)
[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]
[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]
[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]
[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]
From equations (1) & (2), we have:
[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]
[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]
[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]
Thus, the ratio of the volumes of two spheres would be 2197 : 729.
Answer:
2197:729
hope it helps
please mark brainliest
x is 40% of 60
x=?
please help!!
Answer:
x = 24
Step-by-step explanation:
x = .4(60)
x = 24
40% of 60 can be found by converting 40% to a decimal and multiplying it by 60.
40% = 0.4
60x0.4=2.4
Now move the decimal point right one.
So x is 24.
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hope it helps
Steves pattern: 4, 25, 130, 665. what is steves pattern?
Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.
Step-by-step explanation:
What is the y-intercept for the equation y= 11x + 1?
-11
-1
1
11
Answer:
1
Step-by-step explanation:
The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.
Please help me out you can just give me the answer! PLEASE AND THANK YOU!
Answer:
(Disclaimer: all digits in the answers are in the measuring unit degrees)
1) 15
2) 16
3) 46
4) 59.
Step-by-step explanation:
The first one is said to add up to 89, so you have to do 89 subtract 44 and 30 as they are told. That = 15
The second one is a right angle, meaning it adds up to 90. You do 90 - 74 as that is the value told. That = 16
Angles on a straight line = 180 so you have to do 180 - 134 as that is the value told. This = 46
This is 54 as opposing angles on two lines are =. That means this = 59 too.
Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .
Answer:
-1/2
Step-by-step explanation:
The point slope form of equation of a line is expressed as;
[tex]y - y_{0} = m(x-x_0)[/tex]
m is the slope
(x₀, y₀) is the point on the line
Given
(x₀, y₀) = (1, 2)
Given the equation 3y = 2x - 4
Rewrite the equation
y = 2/3x - 4/3
mx = 2/3x
m = 2/3
The slope is 2/3
Substitute the slope and the point into the formula above
[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]
Compare the expression to x+(m+2)y=n−5
m + 2 = -3/2
m = -3/2 - 2
m = -7/2
Similarly
n - 5 = -2
n = -2 + 5
n = 3
m + n = -7/2 + 3
m + n = -1/2
hence the sum of m and n is -1/2
1\ solve the system using elimination. 4x+5y=2 -2x+2y=8
The most efficient first step in the process to factor the trinomial 3x³-24x² + 36x is :
O A. factor out 3
O B. factor out 3x
O C. factor out (x - 2)
O D. factor out-1
Answer:
B
Step-by-step explanation:
4h + 14 > 38
What’s the answer
Answer:
Inequality Form:
h > 6
Interval Notation:
( 6 , ∞ )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help me on #5. Both parts of possible please. Thank you for helping!
Answer:
5) No
The actual distance between the drone and the fossil is [tex]32\dfrac{3}{4}[/tex] ft
Step-by-step explanation:
3) A. -2/9
(2/3 - 5/6)/3/4 = (-1/6)/(3/4) = (-1/6) × (4/3) = -2/9
4) d. [tex]0.\overline {90}[/tex]
10/11 = 0.9090909...
∴ 10/11 = [tex]0.\overline {90}[/tex]
5) The height of the drone is flying above the ground = [tex]25\dfrac{1}{2}[/tex] ft.
The location of the fossil below the ground = [tex]7\dfrac{1}{4}[/tex] ft.
Taking the ground level as the origin on a number line, we have;
The location of the drone relative to the ground = + [tex]25\dfrac{1}{2}[/tex] ft. (The positive sign for a point above the origin)
The location of the fossil relative to the ground = [tex]-7\dfrac{1}{4}[/tex] ft. (The negative sign for a point below the origin)
Therefore;
The distance between the drone and the fossil = The difference between the location of the drone and the fossil
The distance between the drone and the fossil = [tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right)[/tex]
[tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right) = 25\dfrac{1}{2} + 7\dfrac{1}{4} = 32\dfrac{3}{4}[/tex]
The distance between the drone and the fossil = [tex]32\dfrac{3}{4}[/tex] ft.
Therefore;
The distance between the drone and the fossil > 32 ft.
With the values of sin 30°, cos 30°, sin 60° and cos 60°
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
Is the cost of candy proportional to pounds of candy?
Answer:
Step-by-step explanation:
Yes
Answer:
yes because for every pound it is $3
Step-by-step explanation:
i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30
What is the value of y in the equation 4 + y=-3?
7
1
-1
-7
Answer: -7
Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)
someone please help!!
Answer: -7
Step-by-step explanation:
In order to find rate of change, we use two points (0,70) and (3,49).
rate of change = (y2 - y1)/ (x2 - x1)
= (49 - 70) / (3 - 0)
= -21/3
= -7
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
what type of line is not a function
Answer:
A vertical line
A teacher is correcting a student's homework
assignment, but she cannot read one line of the
student's work. The student's work is shown
below, with a blank space representing the
missing line.
Step 1:
- 2x + 11 = -5
Step 2: -2x + 11 – 11 = -5 – 11
Step 3:
-2x = -16
Step 4:
Step 5:
1x = 8
Step 6:
x= 8
Which of the following represents the correct
Step 4 and the property that would be used to
justify the step?
Answer without Explanation:
B
2. Find mzR and mzS.
89°
R
157 T
Р
Answer:
m∠R = 123°
m∠S = 91°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc
m of arc QRS = 2 m∠P = 2(57) = 114
Now m of arc SPQ = 360 - 114 = 246
So, m∠R = 1/2(246) = 123
m of arc RSP = 2 m∠Q = 2(89) = 178
m of arc PQR = 360 - 178 = 182
m∠S = 1/2(182) = 91
what is the domain of the function
Answer:
hi sh Sheet sh I monorailg Jericho improve Odom Ybor
please help me do it
Please help me with the first half
Answer:
a) 12:45 am
b) 7:30 pm
c) 20:15
d) 0:00
Step-by-step explanation:
a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.
The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.
So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."
b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."
But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:
19 - 12 = 7
So it's the 7th hour.
So it would be 7:30 pm.
c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.
8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).
12 + 8 = 20
This is our hours. We can attach it to the minutes: 20:15.
d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.
If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.
This means that no time has passed during Sunday yet—it just reset.
So it would be 0:00 because no time has passed officially on Sunday yet.
The regular price of a camera is $500. The camera is on sale for 25% off the regular price. What is the sale price of the camera in dollars and cents?
Answer:
375
Step-by-step explanation:
500-125(25% of 500)=375
please help.I don’t understand
Answer:
y=13 degrees
Step-by-step explanation:
This is an isosceles triangle, we know this because NO and NM are equal.
In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.
We also know that the sum of the interior angles of a triangle are equal to 180.
With this information, we can make an equation by gathering all the interior angles:
8y+2(3y-1)=180
Solve for y.
8y+6y-2=180
14y-2=180
14y=182
y=13
which expression is a fourth root of -1 + i√3?
Answer:
−1+1.732051i
Step-by-step explanation:
Solve the system of equations using substitution
y=x+1
x+y = 7
i just want to make sure i’m correct so is this correct?
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
so what i did is i multiplied 16 x 26 = 416 then i divided 32 and 416 and got 13 so Annie filled 13 quarts of coffee.
please tell me i’m correct or not.
Answer:
I think you are I'm not 100%
Answer:
13qt
Step-by-step explanation:
your totally correct.
Find the next two terms in
the sequence 11, 7, 3,-1,
Answer:
The next term will be -5.
Step-by-step explanation:
This is actually an AP with a = 11 and common difference d = -4.
Therefore next term will be -1 - 4 = -5
Answer:
Step-by-step explanation:
The numbers in this sequence come by subtracting 4 so
11, 7, 3, - 1, - 5, - 9, - 13
HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!
Answer:
i am unsure
Step-by-step explanation:
I HEART POINTS
(1/2)x x 3/43=
Pls im so close for finishing 20 POINTS
Answer:
It's 3[tex]x^{2}[/tex]/86
hope this helps:)
Write an equation for this word
sentence: one third of a number
equals 9.
Hurry plsss
Answer:I believe D
Step-by-step explanation: Hope you get it right