A ball has a diameter of 6 inches. A smaller ball has a radius of 2 inches. What is the approximate difference between the volume of the two balls
The difference between the volumes is 79.55 cubic inches.
What is the difference between the volumes?The volume of a sphere of radius R is:
[tex]V = (4/3)*3.14*R^3[/tex]
Here we have two spheres, the larger has a diameter of 6 inches, so its radius is:
R = 6in/2 = 3in
The smaller ball has a radius of 2 in.
Then the difference between the volumes is:
[tex]V = (4/3)*3.14*( (3in)^3 - (2in)^3) = 79.55 in^3[/tex]
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What is 360 divided by 9
The value of the quotient of 360 divided by 9 is 40.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A phrase: 360 divided by 9.
To find the quotient:
360 divided by 9;
360 ÷ 9,
Here,
The factors of 360 = 2 x 3 x 3 x 3 x 3 x 5
And the factors of 9 = 3 x 3.
The GCF of 360 and 9 is 9.
So, the quotient will be a whole number.
360/9
= 40
Therefore, the value of the quotient is 40.
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An angle measures 18° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
81
Step-by-step explanation:
as x+y is 180
- x-y is 18
2x is 198
x is 99
180-99 is 81
Solve the following system of equations.
Answer:
n= -6, a= 5
Step-by-step explanation:
Label the two equations:
a= -2n -7 -----(1)
-3a +n= -21 -----(2)
Substitute (1) into (2):
-3(-2n -7) +n= -21
Expand:
-3(-2n) -3(-7) +n= -21
6n +21 +n= -21
Simplify, minus 21 on both sides:
7n= -21 -21
7n= -42
Divide both sides by 7:
n= -42 ÷7
n= -6
Substitute n= -6 into (1):
a= -2(-6) -7
a= 12 -7
a= 5
Part B
Write a numerical expression that represents the area Sabrina painted the second weekend. Using this numerical expression, find the area that Sabrina painted the second weekend.
Step-by-step explanation:
she painted half of the still to be painted area.
after the first weekend there were 800 of 1600 ft² painted, and therefore 1600 - 800 = 800 ft² left to be painted.
on the second weekend she then painted half of that :
800 / 2.
that means she painted 800/2 = 400 ft², and that left 800 - 400 = 400 ft² to be painted on the following weekends.
if we look in detail, we find the starting 800 ft² of the second weekend are already the result of the first weekend.
800 = 1600 / 2
so,
800 / 2 = 1600 / 2 / 2 = 1600 / 2² = 1600 / 4.
and the same principle goes on weekend after weekend.
therefore, the expression for the nth weekend could be
1600 × (1/2)^n ft²
that means, she painted
on the 1st weekend : 1600 × 1/2 = 800 ft²
on the 2nd weekend : 1600 × 1/4 = 400 ft²
on the 3rd weekend : 1600 × 1/8 = 200 ft²
on the 4th weekend : 1600 × 1/16 = 100 ft²
...
that also means : she will never be finished, as she always paints only half of what is still left open, and that leaves always some part open. it will be tinier and tinier over time, but never 0.
Please help with this question!
how many lines of symmetry does this shape have ???
Answer:
1 is the answer. Have a great day!!!
Answer:
1
Step-by-step explanation:
You can only split it diagonally without unevenly splitting it.
Solve for x. Round to the nearest hundredth.
17
18°
х X
what trigonometric function would you use to find x?
O Cosine
Sine
Tangent
O Secant
O Cosecant
Answer:
5
Step-by-step explanation:
like i dont know probably 5 its kinda weird. it definitely has to be 5
in the adjoining figure AOC is a straight line find 'y'
Answer:
30°
Step-by-step explanation:
y+30° +4y =180° (angles on a straight line equal 180°)
5y+30° =180°
5y= 180° - 30°
5y = 150°
divide both sides by 5
5y/5 = 150/5
y= 30°
Which of these scatter plots show evidence of a positive association between the variables a negative association? Which do not appear to sow an association? Match the graph to the correct explanation
Answer:
A) negative strong correlation B ) negative weak correlation C) no relationship
Step-by-step explanation:
draw a line if these points gather around a line there is a relationship . since the slope will be negative by drawing a straight . Line in the A and B graphs , we according to the will see if it is week and strong according point distribution that will have a negative correlation .C for ) dots scattered no relationship
There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard deviation was 1. 6. The margin of error, assuming a 95% confidence level, is approximately. Round to the nearest hundredth.
The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
What is the margin of error?The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
[tex]\text{MOE}[/tex] = margin of error
[tex]\gamma[/tex] = confidence level
[tex]z_{\gamma}[/tex] = quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742[/tex]
Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
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Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.
Answer:
The circumference is 26.38 yards
Step-by-step explanation:
The formula for finding the circumference of a circle is 2π(r). 2 times pi times the radius. We see that the radius is 4.2 yards, so we plug 4.2 into the variable labeled "r"
2 (3.14) (4.2) = 26.376
26.376 rounded to the hundredths place is 26.38
Hola there !
Answer is in attachment ; let me know if you have any doubts
how do i solve this
Check the picture below.
What is the best approximation for the circumstance of a circle with a radius of 18 ft?
Use 3.14 to approximate pi.
A. 21.1 ft
B. 36 ft
C. 56.5 ft
D. 113.04 ft
Answer: 113.04 ft
Step-by-step explanation:
C = 2πrC = 2x18x3.14
C=113.04
Pip, David and Bridget share £60 in a ratio 1:2:2. How much money does each person get?
Pip:
£
David:
£
Bridget:
£
Answer:
12
Step-by-step explanation:
3 person, devide total budget by 5, each person's share would be £12
QUICK whoever gives correct answer will get brainliest please and thank you.
Step-by-step explanation:
d. the light become bri--
Answer:
a i think hope i help
Step-by-step explanation:
i really don tunderstand what is going on forreal ts tripping me out
Answer:
What do you mean why are you tripping out.
Step-by-step explanation:
(07. 01)How many solutions can be found for the equation 4x = 4x? Zero One Two Infinitely many.
The given equation have infinitely solution.
we have given that equation 4x=4x
What are the condition for solution no solution one solution infinite solution?
Zero solution:-No solution would mean that there is no answer to the equation
One solution:-There is only one value for the variable that makes the equation true.
Two solution:-A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.
infinitely solution:- Infinite solutions would mean that any value for the variable would make the equation true.(x=x)
Given equation have infinitely many solution because there are so many different ways that can be found.
Therefore we have the given equation have infinitely solution
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A business owner opens one store in town A. The equation p(x) = 10,000(1.075)' represents the anticipated profit aft-
t years. The business owner opens a store in town B six months later and predicts the profit from that store to increas
at the same rate. Assume that the initial profit from the store in town B is the same as the initial profit from the store ir
town A. At any time after both stores have opened, how does the profit from the store in town B compare with the pro
from the store in town A?
a
O 65%
O 96%
104%
154%
Mark this and retium
Answer:
96%
Step-by-step explanation:
he rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t
So, given that both
store A and store B follow the same equations but t is different for them, you can right: Store A: pA (t) 10,000 (1.075)^t
Store B: pB(t'): 10,000 (1.075)^t'
=> pA(t) / pB(t') = 1.075^t / 1.075^t'
=> pA(t) / pB(t') = 1.075 ^ (t - t')
And t - t' = 0.5 years
=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368
or pB(t') / pA(t) = 1.075^(-0.5) = 0.964
=> pB(t') ≈ 0.96 * pA(t)
This means that the profit of store B is about 96%of the profit of store A at any time after both stores have opened.
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26)
∘
and m\angle B=(x+25)^{\circ}∠B=(x+25)
∘
, then find the measure of \angle B∠B
we know angles A and B are supplementary, thus their sum is 180°.
[tex]\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}[/tex]
The measure of angle m∠B = 112°
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 2x+26 ) + ( x+25 ) = 180
Now we can combine like terms and apply the operations to find the value of x:
⇒ ( 2x+26 ) + ( x+25 ) = 180
⇒ 3x + 51 = 180
⇒ 3x = 180 - 51
⇒ 3x = 129
⇒ x = 129/3
⇒ x = 43
Then Angle B will have a measure of x+25 = 43 + 25 = 68°
m∠ B = 112°
The measure of Angle A will be :2x+26 = 2(43) + 26 = 112°
m∠A = 68°
Thus, the measure of angle m∠B = 112°
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Jennifer has 78 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Jennifer
the garden with greatest area? The diagrams are not to scale.
Answer:
a
Step-by-step explanation:
Let's go through each answer choice.
The formula for Area of a rectangle is [tex]A=l*w[/tex]
a.
[tex]A=l*w=19*20=380\ ft^2[/tex]
b.
[tex]A=l*w=17*22=374\ ft^2[/tex]
c.
[tex]A=l*w=21*18=378\ ft^2[/tex]
d.
[tex]A=l*w=23*16=368\ ft^2[/tex]
Upon evaluation of each answer choice, we can conclude:
[tex]380 > 378 > 374 > 368[/tex]
Therefore the answer is a.
pls helppp
What is the scale factor of this dilation?
Answer:
B. 1 1/2
Step-by-step explanation:
Pls, choose me as brainliest!
Explanation:
Divide the horizontal sides to get
image/preimage = B'C'/BC = 15/10 = 1.5 = 1 & 1/2
This says that the larger image's side lengths are 1.5 = 1 & 1/2 times that of the corresponding preimage side lengths.
find the mode of 8,6,7,9,7,0,2,3,5,7,8,9,6,9
Answer:
7 and 9
Step-by-step explanation:
both 7 and 9 occur 3 times in this sequence of numerals, thus resulting in a bimodal solution
Waylon is typing a paper for keyboarding class. He has typed 648 words in 8 minutes. He types at the same rate each minute. Which equation represents the number of words (w) Waylon can type in m minutes?
Answer:
that is the correct answer
In Martha's pet store 3/6 of the mice were white, 2/6 of the mice were black, and 1/6 of the mice were brown. What fraction of the mice were black or white?
Add black and white together:
3/6 + 2/6 = 5/6
Answer: 5/6
Please tell the answer
Answer:
18 Answer
Step-by-step explanation:
.: PQ +RQ
= 7+11
= 18
Please help me please please please help
Percentage profit formula ?
Answer:
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
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Mary spent a total of $291.34 for a party. She spent $200.74 on food, plus an additional $30.20 for each hour of the party. How long was the party?
A.
5 hours
B.
4 hours
C.
3 hours
D.
2 hours
Answer:
C
Step-by-step explanation:
291.34 - 200.74 is 90.60. 90.60/30.20 = 3.
HELP ITS MAKING ME DO ANOTHER ONE
Answer:
Since we know that each of the three triplets are the same age we can put next to n, 3.
And given that another child is 14 years old we can put that next to the "+" sign.
In total, it would equal 32, so put the 32 after the equal sign.
It should look like this:
3n + 14 = 32
But now they want us to solve for the triplet's ages, so we just solve for n;
3n + 14 = 32
-14 -14
3n = 18
/3 /3
n = 6, the triplet's ages are 6 years old each.