The volume of the resulting ring is (4/3)π(R³ - r³)
Volume
The volume of an object is the amount of space occupied by the object in three dimension.
The volume (V) of a sphere is given by:
V = (4/3)πr³
Where r is the radius of the sphere.
For the sphere with radius R, volume is:
V = (4/3)πR³
The hole with radius r, has a volume of:
V = (4/3)πr³
Hence volume of the ring = (4/3)πR³ - (4/3)πr³ = (4/3)π(R³ - r³)
The volume of the resulting ring is (4/3)π(R³ - r³)
Find out more on Volume at: https://brainly.com/question/1972490
What is the answer to 5/8+2/3-1/4=
The thesis statement, the theme or central idea of a speech, should be expressed as.
A basket of fruit contained 5 oranges, 5 apples, 3 bananas, and 2 grapefruit. What percent of the basket were bananas
Answer:
20%
Step-by-step explanation:
The percentage score for 3 out of 15 is 20.00%.
need help on this question.
[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]
If you are wondering why 2x = 74 then, vertically opposite angles are always equal.
Charity and timothy collect stamps. Timothy collected 17 fewer than three times the number of charitys stamps. Altogether, they collected 527 stamps. How many stamps did charity and timothy collect?
Charity collected _____
timothy collected____
Let
charity collected=xTimothy collected=3x-17ATQ
[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x=544[/tex]
[tex]\\ \tt\hookrightarrow x=136[/tex]
Charity=136Timothy=527-136=391[/tex]Which graph represents the solution of |–2 + (x – 3)| < 7?
Answer:
D
Step-by-step explanation:
the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.
otherwise, we would have a "<=" ("smaller or equal") symbol.
let's start for the first limit to calculate without the absolute value :
-2 + (x - 3) < 7
-5 + x < 7
x < 12
the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :
-1×(-2 + (x - 3)) < 7
2 - (x - 3) < 7
2 - x + 3 < 7
-x + 5 < 7
-x < 2
x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).
I dont know how to do this. My teacher said we had to use the X method and im so confused. please help
Answer:
use distribution and multiply by the variable of x
i am your teacher and i knew youd ask this question so i got on here i knew i could catch you, i want you in the principals office tommorrow after my class, understood?
Step-by-step explanation:
A bicycle has a listed price of $556.98 before tax. If the sales tax rate is 8.75% find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
Total Price with Tax: $ 605.72
Step-by-step explanation:
We can write an equation for the total cost of the bicycle as:
C=p+(t×p)
Where:
C is the total cost we are trying to calculate.
p is the list price - $556.98
t is the tax rate - 8.75%. "%" means "out of 100" or "per 100", Therefore 8.75% can be written as 8.75 [tex]\frac{x}{100}[/tex].
Substituting and solving for C gives:
C = $556.98([tex]\frac{8\\.75}{100}[/tex]×$556.98)
C = $556.98+$48.74
C = $605.72
pls help me i need the answer
4672 x 47 will mark brainlists
Chris buys 2 identical bags of cherries to make a pie.
There are more than 10 but less than 30 cherries in each bag.
Chris eats 7 cherries, then uses half of the rest in his pie.
Chris uses 11.5 cherries for his pie.
How many cherries were in each bag to start with?
==================================================
Explanation using mental math:
He uses 11.5 cherries for his pie, which is half the amount left (after eating those 7 cherries).
This means 2*11.5 = 23 cherries were left over after he ate those seven. In other words, half of 23 is 11.5
If we reverse time, then we get those 7 cherries back to get 7+23 = 30 cherries total. Divide those up equally between the two bags and we get 30/2 = 15 cherries per bag.
Going forward in time we have 15 cherries per bag, so 2*15 = 30 total. He eats 7 to be left with 30-7 = 23 cherries. That cuts in half to 23/2 = 11.5 cherries for his pie.
---------------
Explanation using algebra
c = number of cherries in each bag.
10 < c < 30 based on the second sentence
2c = number of cherries total from both bags combined
2c-7 = the amount left after Chris eats those 7 cherries
(2c-7)/2 = he uses half of the remaining cherries for the pie
Set that equal to the 11.5 number stated and solve for c.
(2c-7)/2 = 11.5
2c-7 = 11.5*2
2c-7 = 23
2c = 23+7
2c = 30
c = 30/2
c = 15
We effectively follow similar steps as when we did the mental math route.
Notice how c = 15 makes 10 < c < 30 true.
Factor the expression of 2x squared + 7x -4
Answer:
(2x−1)(x+4)
Step-by-step explanation:
2x2+7x−4=(2x−1)(x+4)
Look at the pic down there
Answer:
Part A: 8.4 minutes per mile
Part B: 38 minutes
Explanation on Part B: (put it in your own context)
8.4 + 1.1 = 9.5 minutes per mile
As 9.5 * 4 = 38 minutes
Enjoy ;)
how many lines of symmetry does this rectangle have?
Answer:
sorry I don't know
Step-by-step explanation:
you have no image I can't tell
Answer: 2
Step-by-step explanation:
Rectangles have 2 lines of symmetry. One of them is vertically down the middle, and the other one is horizontally down the middle lengthwise. However, you can not draw the 2 symmetry lines diagonally in a rectangle from each corner to the opposite corner. An image is attached for a reference/example of this.
I hope this helps!
pact cameras are as follows:
185, 165, 250, 170, 220, 160, 215, 300, 180, 95, 150, 210, 180, 180
Find each of the following for the data:
a.) mean
b.) median
c.) mode
d.) midrange
e.) range
of the
f.) variance
g.) standard deviation
Molisivab babae
Answer:
In step by step
Step-by-step explanation:
Your mean is 190.
Your median is 180 because it is in middle.
Mode is also 180 because it appears most often
Range 205 because 300-95
Variance= without decimals/2346
Standard deviation without decimals /48
Hope it helps :} have a great day!
CHOOSE ALL THAT APPLY
Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
-Geometric sequences have a common difference between terms.
-Geometric sequences can have a first term of 0.
-Geometric sequences are restricted to the domain of natural numbers.
-Geometric sequences have a common ratio between terms.
PLSSSS HELPPPPP
Answer:
Geometric sequences have a common ratio between terms. TRUE
hope it helped ;-;''
Which equation is NOT true?
Answer:
B
Step-by-step explanation:
Using the method of cross- multiplication
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc
If ad ≠ bc then equation is not true
A
[tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex] , then
10 × 6 = 12 × 5 = 60 ← equation is true
B
[tex]\frac{69}{100}[/tex] = [tex]\frac{6}{10}[/tex] , then
69 × 10 = 690 and 100 × 6 = 600
690 ≠ 600 ← equation not true
C
[tex]\frac{10}{5}[/tex] = [tex]\frac{200}{100}[/tex] , then
10 × 100 = 5 × 200 = 1000 ← equation is true
D
[tex]\frac{12}{4}[/tex] = [tex]\frac{6}{2}[/tex] , then
12 × 2 = 4 × 6 = 24 ← equation is true
Hi!
I can help you with joy! :)
• Here, we need to determine if each equation is true by simplifying fractions.
• The 1st equation states that
10/12 = 5/6
Is it true?
Let’s simplify 10/12 to find out.
Divide 10 and 12 by 2:
5/6
Thus. The 1st equation is true.
How about the next one?
We have 3 options left.
69/100=6/10
Is that correct?
Nope!
Why?
If we simplify 69/100, we will not get 6/10.
In fact, 69/100 cannot be simplified.
Thus, the second equation is not true.
Now, how about Options C and D?
Well, both of these equations ARE true.
Thus, the second equation is not true.
Hope it helps.
Do ask if you have any query.
~Silent~
For each inequality, find two For each inequality, find TWO values for that make the inequality true.
X+3>70
A. 61
B. 66
C. 50
D. 67
E. 70
Answer: Choice D and Choice E
Explanation:
Subtract 3 from both sides
x+3 > 70
x+3-3 > 70-3
x+0 > 67
x > 67
Any number larger than 67 will make the original inequality to be true.
Unfortunately, only E) 70 fits the description.
D) 67 won't work since 67 > 67 is false.
However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.
So I'll assume that this is the inequality you meant to type out.
determine slope and what it represents!
Answer:
15 is the slope, it means you make $15 an hour
Step-by-step explanation:
$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.
Given Trapezoid JOKE with m
Answer:
Step-by-step explanation:
In trapezoid JOKE, JO // EK
m∠J + m∠E = 180 {so-interior angles are supplementary }
m∠J +80 = 180
m∠J = 180 - 80
m∠J = 100
m∠O + m∠K = 180 {Co-interior angles are supplementary}
m∠O + 50 = 180
m∠O = 180 -50
m∠O = 130
[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } [/tex]
simplify.
Answer:
1,000,000,000
Have a great day! :D
[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } \\ {10}^{6 + 3} \\ {10}^{9} [/tex]
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters?
5 m
10 m
30 m
45 m
The area of a right triangle is the amount of space on it
The length of the base is 10 meters
How to determine the length of the baseThe given parameters are:
Area = 15 square meters
Height = 3 meters
The area of the triangle is:
Area = 0.5 * Base * Height
So, we have:
15 = 0.5 * Base * 3
Divide both sides by 0.5
30 = Base * 3
Divide both sides by 3
10 = Base
Rewrite as:
Base = 10
Hence, the length of the base is 10 meters
Read more about areas at:
https://brainly.com/question/24487155
Answer: 10 m
Step-by-step
if x + y = 12 and x * y = -360 what are the values of x and y
Step-by-step explanation:
x + y = 12
x × y = -360
we need to transform one equation into an identity of one variable being expressed by the other variable.
e.g. the first equation gives us
x = -y + 12
and then we use that in the second equation :
(-y + 12) × y = -360
-y² + 12y = -360
y² - 12y - 360 = 0
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = y
a = 1
b = -12
c = -360
y = (12 ± sqrt(144 - 4×1×-360))/2 =
= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =
= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =
= 6 ± 6×sqrt(11)
y1 = 6 + 6×sqrt(11) = 25.89974874...
y2 = 6 - 6×sqrt(11) = -13.89974874...
x1 = -y1 + 12 = -13.89974874...
x2 = -y2 + 12 = 25.89974874...
so, we see, they are interchangeable.
the solution is either
x = 25.89974874...
and
y = -13.89974874...
or
x = -13.89974874...
and
y = 25.89974874...
Tori received $28.50 for 2 hours of work. How
much did she earn if she worked 15 hours?
Answer:
Hey! I hope this helps. I used ratio, I divided $28.50 by 2 to find out how much she worked for in an hour then I multiplied by 15.
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.
Answer:
(d) 219.80 ft
Step-by-step explanation:
The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(20°) = (80 ft)/(distance to sculpture)
This rearranges to ...
distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft
Two cards are drawn from a standard deck; the first card is not placed back into the deck before the second one is drawn. What is the probability of drawing a queen and then drawing an ace
Answer:
52-2=50-1=49-1=48/4=12/4=3
answer: 1 out of 4 chances to draw a queen
Step-by-step explanation:
A bowl has a radius of 3 inches. What is the circumference of the bowl?
Answer:
9.42 (sorry if im late)
Step-by-step explanation:
I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence
3.14 x 3 = 9.42
At 8 a.m., the temperature in Phoenix, Arizona, is 74°F. The Temperature increases 25% by 11 a.m. and another 20% by 2 p.m. What is the temperature at 2 p.m.? Round your answer to the nearest tenth of a degree Fahrenheit.
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is 111.0 °F)
The final temperature is original temp + original temp * temp increase
74+74*0.25=92.5
(another increase)
92.5+92.5*0.2=111
Final: 111degrees
The mapping diagram shows a functional relationship. Domain Range Complete the statements. f(4) is ___ f(x) = 4 when x is ___
Answer:
f(4) is 1/2
f(8) is 4
Step-by-step explanation:
Remember that the range is the output so when you have f(anything) that anything is the domain (x) and the =anything is the y value.
What is the slope-intercept
equation?
Answer:
y=mx+b
Step-by-step explanation:
y-y1=m(x-x1) is point slope form
Answer:
y=mx+b
Step-by-step explanation:
Slope-intercept form is commonly referred to as "y=mx+b form", which can be remembered because m=slope and b=y-intercept. Hope that helps :)
Please help me answer these questions I keep getting 60% and I can’t move on unless I have 70%