Answers
Answer:
D. 126 cm³
Step-by-step explanation:
The formula for the volume of a cylinder in terms of its diameter can be written as ...
V = (π/4)d²h
The difference between the volume of the overall cylinder and the volume of the hole is ...
V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h
V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³
The volume of the solid cylinder with a hole in it is about 126 cm³.
Related Questions
Jeanine Baker makes floral arrangements. She has 22 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are possible?
Since the order of the flowers does not matter, this is a combination of 22 things taken 6 at a time.
Answers
Answer:
16
Step-by-step explanation:
Y=4x+8 y=-x-7 solve by substitution
Answers
Step-by-step explanation:
Alrighty! here you go image.
Answer:x=15
Step-by-step explanation:
Ramon Escalante purchases a digital camera for $399.99 in Omaha Nebraska, where the sales tax rate is 5.75 percent
A. what is the sales tax?
B. what is the total purchase price?
Answers
Answer:
[tex] \: [/tex]
A. The sales tax will be $ 22.999425
so, the sales tax » $ 23
5.75 % of $ 399.99
B. The Total Purchase will be →
$ ( 399.99 + 22.999425 ) $ 422.989425or
$(23 + 399.99) $ 422.99How much money was invested at 5% annual simple interest for 4 years to earn $2870?
Answers
Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
Graph the number on the number line.
Answers
Answer:
Step-by-step explanation:
can u take good picture
to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false
Answers
Answer:
True
Explanation:
3 feet is 1 yard so 13/3 is 4.3 yards approximately
True
[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]
3x = 13
[tex]x = \frac{13}{3} yards[/tex]
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answers
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
The reason that’s correct is because $8 is 2 times more than $4. So we would do 14 (which is the amount of copies that are made for $4) x 2 = 28 copies
What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet
Answers
Area of a rectangle= Base x Height
Base= 7ft
Height= 3ft
A= 7 x 3= 21 ft^2
Answer:
21ft^2
Step-by-step explanation:
A=LW
A= 3ft x 7ft
A=21ft^2
can anyone solve this step by step for me
Answers
Answer:
0.5 ㏑ | 1-2x | +c
Step-by-step explanation:
Formula: ∫ 1/ax+b dx = 1/a ln Iax+bI +c
Anyone that can answer it right gets 30!
Answers
Answer:
First
Step-by-step explanation:
1.
[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]
[tex]5 + 3^2 = 5 + 9 = 14[/tex]
2.
[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]
[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]
3.
[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]
[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]
4.
[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]
[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts
Answers
as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)
but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15
According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?
Answers
Answer:
Given the temperature of an object at time t as
-kt f(t) = T. + Ce +
where TO is the environment temperature, C is the difference in temperature of environment and object.
Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have
To = 0
C = 100 – 0= 100
After 26 minutes the temperature of water is 50 degree celsius.
f(26) = 0 + 100e -26k = 50
100e 26K = 50
-26 e = 0.5
-26%: In e = ln 0.5
-26% = ln 0.5
In 0.5 k= 26
So the temperature of water after 78 minutes will be,
f(78) = 100e -78 In 0.5 26 = = 12.5 =
The temperature of water after 78 minutes will be approximately 12.5 0 C
Step-by-step explanation:
how do you solve this problem lol
Answers
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A. 5
O B. //
1
C.
091
D. -5
Answers
Answer:
its C. 1/5
Mark me BRAINLIEST(1.2•10^9) divided by (3•10^5)
Answers
Answer:
4000
Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4 so u do the same in the equation and it gives you 4000. Pls give brainly if i was right
Answer:
4000Step-by-step explanation:
(1.2•10^9) divided by (3•10^5)
(1.2 * 10^9) : (3 * 10^5) =
(1.2 * 1000000000) : (3 * 100000) =
1200000000 : 300000 =
4000
Find the slope (show your solution)
y=4x+5
please help me to answer this i really really need it
Answers
Y = Mx+c
The slop of the line is M
And the y intercept ( where it goes through on y axis) is C
So if we substitute that into ur equaton
Y = Mx +c
Y= 4x + 5
You can see that M ( the slope) is 4
And C ( y intercept) is 5
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answers
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
right answer only plz and thank u
Answers
Answer:
[tex](x-1)^2(x+3)[/tex]
Step-by-step explanation:
For factorization the given expression you can use the Ruffini's rule.
First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].
[tex]3 = \{\pm1,\pm3\}[/tex]
Now replace each number in the polynomial
[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]
If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].
[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]
In the first row are the coefficients of the given polynomial.
In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].
The third row are the coefficients of the quotient polynomial (except the last that is the remainder).
[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]
Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to
[tex]x^2 + 2x -3[/tex]
So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:
[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]
So the last expression is:
[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]
Help help help help help help help help help
Answers
Answer:
(-1,1)
Step-by-step explanation:
Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite of (1,-1) would be (-1,1) ).
Hope this helped!
right answers only plz and thank you
Answers
Answer:
letter A
Step-by-step explanation:
3x=0
x=0
x-2=0
x=2
2x+7=0
2x=-7
x=-7/2
can anyone help with this, please
Answers
Answer:
Step-by-step explanation:
As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)
y = C(x + 2)(x - 2) = C(x² - 4)
applying the y intercept of (0, 4)
4 = C(0² - 4)
C = -1
y = -1(x² - 4)
y = 4 - x²
Answer:
hi
Step-by-step explanation:
Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!
Answers
Answer:
C. Transitive property of ≅Step-by-step explanation:
The statement #5 and #7 give an outcome of the statement #8:
ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCBThis is called transitive property of congruence:
If one triangle is similar with another two, then the the other two triangles are similar to each otherCorrect choice is C
Answer:
C. Transitive property of congruence
Step-by-step explanation:
Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.
Is there anyone that can please help me out with this question as soon as possible?
Answers
Answer:
1. -3 × Equation [A1] --> Equation [B1]
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
Step-by-step explanation:
There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:
1. -3 × Equation [A1] --> Equation [B1]
6x × -3 = -18x
-7y × -3 = 21y
14 × -3 = -42
2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]
(4x × 7) + -18x = 28x - 18x = 10x
(-3y × 7) + 21y = -21y + 21y = 0y
(-4 × 7) + -42 = -28 - 42 = -70
I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.
pls help me i will mark as brilliant
Answers
Answer:
6
Step-by-step explanation:
[tex]45 \: min = 0.75 \: hour[/tex]
[tex]0.75 * 8 = 6 \: hours[/tex]
Need help with this
Answers
Answer:
It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
nope
Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?
Answers
Answer:
3.5 cups of sugar per bag.
Step-by-step explanation:
17.5/5
3.5 cups of sugar are used to make 1 bag of cotton candy
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 5 bags of candy = 17.5 cups of sugar needed
and, For 1 bags of candy
=17.5/ 5
=3.5 cups of sugar needed
hence, 3.5 cups of sugar are used to make 1 bag of cotton candy
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará
Answers
Answer:
i tink its a
Step-by-step explanation:
Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.
Answers
Answer/Step-by-step explanation:
C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
Answer:
C = 35 + 9.5m
Step-by-step explanation:
This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
you are slicing pie for your family. Your grandmother asks for 1/3 of the pie. Your brother asks for 1/4 of the same pie. Your aunt asks for 1/2 of the remainder of the pie. How much pie is left?
Answers
1 - 1/3 - 1/4 = 5/12 ( of the pie )
After give your aunt, you have:
5/12 - 1/2 x 5/12 = 5/24 ( of the pie )
Ok done. Thank to me :>
If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?
Answers
Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...
But if the roles are reversed the the Seventh graders should earn the 50 points.
There is not a full answer to what I am saying but from speculation you should be able to decide..
Answer:
Step-by-step explanation: