Answer: third option.
Step-by-step explanation:
You know that the height of the smaller cylinder is 1 cm and the height of the larger cylinder is 3 cm, then you can find the volume ratio. This is:
[tex]Volume\ ratio=(\frac{1\ cm}{3\ cm})^3\\\\Volume\ ratio=\frac{1}{27}[/tex]
Knowing that the volume of the larger cylinder is 2,106 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.
Therefore:
[tex]V_{smaller}=\frac{1}{27}(2,106\ cm^3)\\\\V_{smaller}=78\ cm^3[/tex]
ANSWER
The correct answer is C
EXPLANATION
We have that, the smaller cylinder has height 1 cm and the larger cylinder has height 3cm.
The scale factor of similarity is
[tex]k = \frac{1}{3} [/tex]
That's if the smaller cylinder is the image.
The volume of the larger cylinder is 2106 cm³.
To find the volume of the smaller cylinder, we multiply the volume of the larger cylinder by k³
[tex]( { \frac{1}{3} })^{3} \times 2106 {cm}^{3} [/tex]
[tex]{ \frac{1}{27} } \times 2106 = 78 {cm}^{3} [/tex]
To rent a car, you must pay $0.30 per mile plus a maintenance fee of $35. Write and equation to represent this function.
Let y be the total cost and x be the miles taken:
y = 0.30x + 35
35 is a fixed cost. No matter how many miles you drive the car you will still need to pay $35
.30 is a cost that depends on the miles taken (x).
Hope this helped!
~Just a girl in love with Shawn Mendes
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take
10 men to dig a hole 7 metres deep?
Answer:
I think the picture here explains you everything
hope this helped
Answer:
8 days
Step-by-step explanation:
How do you solve this?
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]
Check the picture below.
The equation of a circle is:
(x - h)² + (y - k)² = radius²
Note:
h = x coordinate for the centre of the circle
k = y coordinate for the centre of the circle
The equation for the circle in the question is:
(x - 6)² + (y - 5)² = 16
So the coordinates for the centre of the circle is:
(6, 5)
------------------------
Since PQ is the diameter of the circle, that means the coordinates for the midpoint of PQ would also be the coordinates for the centre of the circle
That means:
( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)
So x-coords of Q:
[tex]\frac{10 + x}{2} = 6[/tex]
10 + x = 12
x = 2
y-coords of Q
[tex]\frac{-5+ x}{2} = -5[/tex]
-5 + x = - 10
x = 5
So the coordinates for Q are:
(2, -5)
---------------------------------------------
Answer:
Option A) (2, - 5)
Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of steel weighs 7.8 g
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation:
What is the probably of getting heads when poing a coin and getting a number greater than or equal to 5 when rolling a single die
A) 1/6
B) 1/3
C) 1/4
D) 1/12
Answer:
1/6
Step-by-step explanation:
1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6
Answer:
A. 1/6
Step-by-step explanation:
Probability of getting heads: 1/2
Probability of rolling a number >or equal to 5: 2/6
(1/2)(1/3)=1/6
If f.) = 2x2 + 1, what is f(x) when x = 3?
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
what is the correct way to find the distance between the points (9, 6) and (4, 1)?
Answer: Using the distance formula 5sqrt 2 is the answer
d=sqrt(x1-x2)^2+(y1-y2)^2
Step-by-step explanation:
d=sqrt(9-4)^2+(6-1)^2
d=sqrt(5)^2+(5)^2
d=sqrt 25+25
d=sqrt 50
d= 5 sqrt 2
A number cube with the numbers 1 to 6 is rolled. What is the theoretical probability of rolling the number 3?
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]
There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]
Therefore, the probability is [tex]\frac{1}{6}[/tex].
Answer:
1/6
Step-by-step explanation:
When we roll a die, we can get the numbers 1,2,3,4,5,6
Each is equally likely
P(3) = How many times 3 occurs/ total
3 occurs 1 time in on the die and there are 6 possible numbers
P(3) = 1/6
Simplify (5a)(5b) help me plz
Answer:
25ab
Step-by-step explanation:
(5a)(5b) -> Expand the brackets (multiply like terms together, etc) When the brackets are expanded, values can be multiplied, etc easily
25ab -> 5 multiplied by the other 5 gives 25; a multiplied by b gives ab
In the four-digit number ABCD, each letter represents a unique integer. When A is multiplied by B, the product is odd. When A is multiplied by C, the product is even. Which of the following four-digit numbers is even?
A. ABDC
B. CABD
C. ACDB
D. Cannot be determined from the information given.
Answer:
A
Step-by-step explanation:
Nice problem.
The only way you can get an odd number by multiplying two digits together is if they are both odd.
For example 5*7 = 35 which is odd. You cannot find 2 odd numbers that when multiplied will give an even.
That means that A and B are both odd.
Now if you multiply an odd and an even together, you always get an even.
For example 4 * 9 = 36 which is even.
Since A is known to be odd, C must be even. So the four digit number you want ends in C.
The Answer is A
Answer:
Step-by-step explanation:
The aaaa
Evaluate log1212
a. 0
b. 1
c. 12
d. -1
Answer:
B
Step-by-step explanation:
I just took the test lol
Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?
Answer: that not a real question it cant be answered has to be missing something
Step-by-step explanation:)
Answer:
Hi my name is Kylie "How You Doing" phrase from Friends, Joey
How can u tell if a ratio is proportional
Answer:
Ratios are usually proportional if they are the same or have the same relationship.
Step-by-step explanation:
Like: you have 2 fractions that reduce and come out the same they are proportional.
Hope my answer has helped you!
Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.
Step-by-step explanation:
NEED HELP ASAP (WILL MARK BRAINLYEST)
Answer:
The true statements are the third and fifth. [not sure about the second one!]
Step-by-step explanation:
1.) (7u + 4) is written as a sum of three terms.
This is false since 7u is one term, and 4 is one term, making a total of two terms, not three.
2.) 2 is a factor
I'm not sure on this but I don't think its true.
3.) In 7u, 7 is a coefficent
This is true. The coefficent is the number in front of a variable, or in this case, 7.
4.) In (7u + 4), 7u is a constant.
This is false, as a constant is a number without any variable attached to it. The constant in this case would be 4.
5.) 8 and 1 are like terms.
This is true, since you can add 8 and 1, resulting in the sum of 9.
6.) None of these are true.
This is false, as at least 2 of these statements are true.
I hope this helps! :)
Which equation represents the graphed function?
y=-3x + 3
0 y = 3x-3
© y= 3x - 1
y=-3x+3
Answer:
y = -1/3x +3
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (2-3)/(3-0)
-1/3
Then we know the y intercept( where it crosses the y axis)
It crosses at y=3
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -1/3x +3
Answer:
[tex]y=\frac{-1}{3} x+3[/tex]
Step-by-step explanation:
Let frame the equation of the line using the points given on the graph
(0,3) and (3,2)
Equation of the line is y=mx+b
where m is the slope and b is the y intercept
To find slope we use formula
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}[/tex]
Y intercept b is the point where the graph crosses y axis
y intercept b = 3
The equation y=mx+b becomes
[tex]y=\frac{-1}{3} x+3[/tex]
Match the equivalent expressions.
x - 3y + 12
12 - 3y - 2x + x + 2x
3x + 2y - 2x + y + 12
3y + 12
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
x + 3y + 2x - 3x + 7 + 5
x + 3y + 12
5 + 2y + 7x - 4x + 3y - 17
Answer:
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
Step-by-step explanation:
In order to match the equivalent expressions we have to put each expression in its simplest form
So,
[tex]x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12[/tex]
One pair of equivalent expressions is:
x - 3y + 12
12 - 3y - 2x + x + 2x
Second,
x + 3y + 12
3x + 2y - 2x + y + 12
third,
3y + 12
x + 3y + 2x - 3x + 7 + 5
four,
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
..
Answer:
x + 3y + 12 <--> x + 3y + 2x - 3x + 7 + 5
x − 3y + 12 <--> 12 - 3y - 2x + x + 2x
3x + 2y − 2x + y + 12 <--> 3x + y - 12
3y + 12 <--> 4y + 3y + 3x - 6y - 10 - 2
How do you justify AM = 6 ?
Answer:
Definition of midpoint
Step-by-step explanation:
AM = ME because of the lines showing they are equal
M is therefore the Midpoint of the segment AE
Since AE = 12
AM is 1/2 of AE
AM = 1/2 (12)
AM = 6
We use the definition of midpoint
My fraction is 3/60 and my decimal is .05 so what's the percent?
Answer:
5%
Step-by-step explanation:
3/60 = 1/20 = 0.05. This is 0.05(100%), or 5%.
Select the correct answer. If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x, find f(x) − g(x).
Answer:
2( √x - x³ )
Step-by-step explanation:
see attached.
Answer:
(f-g)(x) = 2√x - 2x³
Step-by-step explanation:
Write out the terms of f(x) as they are and then the negatives of all the terms of g. We get:
(f-g)(x) = √x - x - 2x³ + √x + x
Combining like terms, we get:
(f-g)(x) = 2√x - 2x³
Find an equation for the line parallel to y = 3 x - 2 y-intercept (0,5). Write the answer in slope-intercept form.
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.
!!
Answer: x=16 y=22
Step-by-step explanation:
Edge test math
On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz
is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has
pop quiz on the same day?
Final answer:
The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.
Explanation:
To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.
The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:
Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25
When you calculate this, you get:
0.48 × 0.25 = 0.12
Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.
The probability that Nick oversleeps and has a pop quiz on the same day is 12%.
To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.
Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25
The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)
Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12
So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.
pls help asap i’m timed!!!
This is ed right? If so the answer would be c
ANSWER
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
EXPLANATION
The given function is
[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]
The vertex of this function is (3,8)
This function opens downwards so its range is
[tex]y \leqslant 8[/tex]
The function
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
also has vertex (-3,8)
This function is also reflected in the x-axis. Its range is;
[tex]y \leqslant 8[/tex]
The correct answer is C
Identify the property used in each step of solving the inequality 3x – 2 > –4.
Answer:
Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.
3x-2>-4 Given
3x-2+2>-4+2 Addition property of Equality
3x+0>-2 Simplification and Inverse Property of Addition for -2+2
3x >-2 Simplification and Identity Property of Addition for 3x+0
3x/3 >-2/3 Division property of Equality
1x >-2/3 Inverse property of Multiplication for the 3*1/3 part
x >-2/3 Identity property of Multiplication for the 1x part
Solve the system by the elimination method.
2x + y - 4 = 0
2x - y - 4 = 0
When you eliminate y, what is the resulting equation?
A.x = 0
B.4x = -8
C.4x = 8
Answer: C is correct, 4x=8
Step-by-step explanation:
You will add the two equations...
4x-8=0
Now you need to move the -8 over, which reverses its sign to positive.
4x=8
If U = {all positive integers) and A = {x|x EU and x is an odd positive integer}, which describes AC?
Aº = {xlx EU and is a negative integer}
AC = {x|x EU and is zero}
Aº = {x|x EU and is not an integer}
Aº = {xlx EU and is an even positive integer}
The option that describes the Complement A^c is; D: A^c = {x| x ∈ U and x is an even positive integer}
What is the correct set element description?If the Universal set, U = {all positive integers); and
A = {x|x ∈ U and x is an odd positive integer}.
Thus:
The complement of A is the set of the elements of the universal set which are not in A.
If a set is not odd, then it is even.
Thus:
A^c = {x| x ∈ U and x is an even positive integer}
Read more about Set Elements at; https://brainly.com/question/14528403
Assume that you have taken out an amortized loan for $10,000 to buy a new car. The yearly interest rate is 18% and you have agreed to pay off the loan in 4 years. What is your monthly payment?
Answer:
$293.75
Step-by-step explanation:
Any number of financial calculators, spreadsheets, and on-line calculators can compute the monthly payment for you. Or you can put the numbers into the formula and compute it yourself.
A formula I like is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the loan amount, r is the annual interest rate, and t is the number of years. Filling in the given information and doing the arithmetic, we get ...
A = $10000(0.18/12)/(1 -(1 +0.18/12)^(-12·4)) = $150/(1 -1.015^-48) = $293.75
Your monthly payment is $293.75.
The function f is continuous on the interval [3,11] with some of its values given in the table below. Find the average rate of change in t over the interval [3,11].
X. | 3 | 5 | 8 | 10 | 11 |
F(x)| -4| 4 | 10 | 16 | 20 |
A. 1/3
B. 2
C. 3
D. None of these
Answer:
C
Step-by-step explanation:
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3
The average rate of change in t over the interval [3,11] is C. 3.
What is the average rate of change of a function?The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.
The average rate of change of a function f(x) on the interval [a, b] is:
(f(b) − f(a)) / (b − a)
Here, the interval is [3, 11]. f(3) = -4 and f(11) = 20.
(f(11) − f(3)) / (11 − 3)
(20 − -4) / 8
24 / 8
3.
The average rate of change in t over the interval [3,11] is C. 3.
Hence, The correct answer is option C. 3.
To learn more about the average rate of change of a function
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What is the value of x?
a.30
b.45
c.55
d.60
Answer:
b. 45deg
Step-by-step explanation:
see attached
Answer:
45
Step-by-step explanation:
We are seen with two lines crossing each other and the angle in which a line has is 180 degrees. Also, the angles labeled 3x and x are supplementary angles, which mean they add up to 180 degrees. Using this information, we can set up an equation.
[tex]x+3x=180[/tex]
[tex]4x=180[/tex]
[tex]x=45[/tex]
determine the distance between -16 and -4
the answer would be 12
-4 - -16 = 12
the distance between -16 and -4 is 12.