1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.
2. [tex]V(h(r)) = 3.5\pi r^3[/tex]
3. The volume depends on the radius of the cylinder
HCF of 15 and 60
in full form
Answer: 15
Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.
The common factors here are 3 and 15 the highest common factor is 15.
Now another method is to draw the division diagrams which are shown in the image below...
Answer:
Step-by-step explanation:
HCF of two or more numbers is the largest number that divides the number without leaving remainder.
Prime factorize 15 and 60
15 = 3 * 5
60 = 2 * 2 * 3 * 5
HCF = 3 * 5 = 15
If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold
Answer:
53721.23
Step-by-step explanation:
V=πr^2h
v = 3.14(30)^2(19)
v = 53721.23
Answer:
a cylinder can hold a liquid of 53,721 cm³
Step-by-step explanation:
volume of a cylinder = π r² h
vol = π * (60/2)² * 19
vol = 53,721 cm³
For Elizabeth’s lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons used in cups of lemonade per lemon?
Answer:
1/2 cup of lemonade per lemon
Step-by-step explanation:
2 cups of lemonade use 4 lemons
(2 cups of lemonade)/(4 lemons) =
= 2/4 cup of lemonade per lemon
= 1/2 cup of lemonade per lemon
Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.
Answer:
(1, 5)
Step-by-step explanation:
The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.
P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)
The point of interest is (1, 5).
90 POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for the missing side x of the right triangle
Answer:
x = 13.28
Step-by-step explanation:
basic trig ratios: using tanФ = opp/adj.
tan(38) = x / 17
x = tan(38) * 17
x = 13.28
to get more idea of the subject, read below:
The cotangent (cot)
The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.
tan(A) = opp/adj = a/b
cot(A) =adj/opp = b/c
Answer:
[tex]\Huge \boxed{x \approx 13.28}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the problem.
[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]
[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]
Multiplying both sides by 17.
[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]
[tex]\sf x= 13.28185565...[/tex]
The measure of x is approximately 13.28.
[tex]\rule[225]{225}{2}[/tex]
Tiana has already cycled 17 kilometers this year, plus she plans to cycle 3 kilometers during
each trip to work. How many trips will Tiana have to make to cycle a total of 44 kilometers?
Answer( 9 trips )
Step-by-step explanation:
44-17=27
27/3=9
basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.
hope this helped :)
Answer:
9 trips
Step-by-step explanation:
44 minus 17 equals 27
Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips
1. Three people board the subway train at the first stop. Five people board the train at
the second stop. Seven people board the train at the third stop. If this pattern
continues and no one gets off the train, how many people are on the subway train when
it reaches the seventh and final stop?
Answer:
48 people.
Step-by-step explanation:
The sequence is 3 5 7 ...
The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:
3 + 5 + 7 + 9 + 11 + 13 = 48 people.
=
is 8.3 greater than 83 tenths?
Answer:
NO
Step-by-step explanation:
They are equal
83 tenths divided by 10 is 8.3
Hope this helps :-)
HELP PLZ WILL GIVE BRAINLIEST
Answer:
x = 31 °
Step-by-step explanation:
90 = 58 + x
x = 90 - 58
x = 31 °
Answer:
x° = 32°
Step-by-step explanation:
∠BAC = ∠IAK = 58° (Vertically opposite angles)
∠GCJ = ∠ACB = x° (Vertically opposite angles)
Angles of a Δ ABC = 180°
Δ ABC = 90° + 58° + x° = 180°
⇒x° = 180° - 90° - 58 °
⇒x° = 32°
Emma drew 2 hearts and 37 circles. What is the ratio of circles to all shapes?
Answer:
37:39
Step-by-step explanation:
You write the amount of circles then add 37 to 2 and make a ratio table.
Answer: 37:39
Step-by-step explanation: there are 37 circles and there are 39 shapes in all (37 circles plus the two hearts)
Identify the domain intervals over which the inverse of the graphed function is also a function. Select all that apply.
Answer:
A, B and D
Step-by-step explanation:
There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.
Domain range of the decreasing one is:
( - oo, 3 )Domain range of the increasing one is:
[ 3, +oo )Correct choices are: A, B and D
Note: A and B are same
How many atoms are contained in 1cm of
interstellar space?
Answer:
0.1 atoms
Step-by-step explanation:
Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.
Answer-1 billion
Step-by-step explanation:
Deanna is investigating transformations that carry a regular polygon onto itself. She claims that for a regular polygon of k sides, the minimum angle of rotation about its center that carries it onto itself is equal to the measure of each interior angle of the polygon. For what value of k would Deanna's claim be true?
Answer:
The value of k that would make Deanna's claim to be true is k = 4
Step-by-step explanation:
The given transformation that Deanna has a claim for = Rotation
Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon
We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon
Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square
Here;
The exterior angle of the polygon = The interior angle of the polygon 90
The value of k which is the number of sides of the polygon, for a square = 4
Therefore, the value of k that would make Deanna's claim to be true is k = 4.
You use it to form general ideas and rules based on your experiences and ______.
Solve for x:
2 + 10 ≥ 24 or 1 − 4 < 4
Answer:
There is no x in the question
Eva already has 5 plants in her backyard, and she can also grow 1 plant with every seed
packet she uses. How many seed packets does Eva need to have a total of 45 plants in her
backyard?
. Зу - 18 = -2 + 5y
Answer:
y = -8
Step-by-step explanation:
-18+2 = 5y-3y
-16 = 2y
y = -8
If you need more explaining notify me
geometry points lines and planes
A) How many points appear in the figure?
B) How many lines appear in the figure?
C)How many planes appear in the figure?
D) Name three collinear points
E) Name four non-coplanar points
F)Give another name for line e
G) Name the intersection of PQ AND MO
H) Name the intersection of Plane K and line c
I) Give another name for plane L
I) Give another name for PQ
Answer:
A.) 9 points
B.) 3 lines
C.) 2 planes
D.) P, N, G / M, N, O / R, N, S
E.) U, T, O, S / There are multiple ways but that will take a while sorry. :)
F.) M, N, O
G.) N
H.) S
I.) I don't know sorry
J.) Line D
Hope this Helps! :)
In geometry, lines, planes and points are very important for description purpose. The answers to the given questions can be stated as follows:
A. 9 points (Points - M, N, O, P, Q, R, S, T, U)
B. 3 lines (Lines - MO, PQ, RS)
C. 2 planes (Planes - K and L)
D. (P, N, Q) , (M, N, O), (R, N, S)
E. (M, P, S, T)
F. M, O
G. N
H. S
I. Horizontal plane
J. Line D
Geometry is an aspect that deals with lines, planes and points. A line is a straight path that connects two points, while a plane is a flat surface which could either be a horizontal or vertical.
To solve the given questions, it is important to understand the given figure and interpret each question with respect to the terminologies in it. Example: Collinear points are points which are connected by a straight line, while non-collinear points are points that can not be linked by a straight line.
Therefore, the answers to the questions are as follows:
A. 9 points (Points - M, N, O, P, Q, R, S, T, U)
B. 3 lines (Lines - MO, PQ, RS)
C. 2 planes (Planes - K and L)
D. (P, N, Q) , (M, N, O), (R, N, S)
E. (M, P, S, T)
F. M, O
G. N
H. S
I. Horizontal plane
J. Line D
Reference: https://brainly.com/question/17721067
Evaluate f + g2 - 3g if f= 3 and g = 5.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13}}}}}[/tex]
Step-by-step explanation:
Given, f = 3 and g = 5
[tex] \sf{f + {g}^{2} - 3g}[/tex]
Plug the values
⇒[tex] \sf{3 + {5}^{2} - 3 \times 5}[/tex]
Evaluate the power
⇒[tex] \sf{3 + 25 - 3 \times 5}[/tex]
Multiply the numbers : 3 and 5
⇒[tex] \sf{3 + 25 - 15}[/tex]
Add the numbers : 3 and 25
⇒[tex] \sf{28 - 15}[/tex]
Subtract 15 from 28
⇒[tex] \sf{13}[/tex]
Hope I helped!
Best regards! :D
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Answer:
[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]
Step-by-step explanation:
We want to solve the quadratic inequality:
[tex]9x^2-15x<6[/tex]
In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:
[tex]9x^2-15x=6[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]
By the Zero Product Property:
[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]
Hence:
[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]
Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.
To test the first interval, let x = -1. Substitute this into our original inequality:
[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]
The resulting symbol is "greater than," which is not our desired symbol.
To test the interval between -1/3 and 2, we can let x = 0:
[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]
The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.
Finally, to test the third interval, let x = 3. Then:
[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]
Again, this is not our desired symbol.
In conclusion, our only solution is the interval:
[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]
Or as an inequality:
[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]
If he pays $46.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine
Answer:
Each magazine costs 3.90
Step-by-step explanation:
Take the total cost and divide by the number of magazines
46.80/12
3.90
Answer:
3.90$ per magazine is paid
solve for n.........
Answer:
[tex]n=\frac{-360}{A-180}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]A=\frac{180(n-2)}{n}[/tex]
Step 2: Multiply both sides by n
[tex]An=180(n-2)[/tex]
Step 3: Distribute
[tex]An=180n-360[/tex]
Step 4: Subtract 180n on both sides
[tex]An-180n=-360[/tex]
Step 5: Factor out n
[tex]n(A-180)=-360[/tex]
Step 6: Divide both sides by (A - 180)
[tex]n=\frac{-360}{A-180}[/tex]
-2|5x-1|-3=11 and -2|5x-1|-3=-11
Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.
Step-by-step explanation :
The given equation is:
[tex]-2|5x-1|-3=-11[/tex]
The term -3 is moved or added to the right hand side.
[tex]-2|5x-1|=-11+3[/tex]
[tex]-2|5x-1|=-8[/tex]
The term -2 is divided to the right hand side.
[tex]|5x-1|=\frac{-8}{-2}[/tex]
[tex]|5x-1|=4[/tex]
Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.
Negative case : [tex]-(5x-1)=4[/tex]
Positive case : [tex](5x-1)=4[/tex]
Now solve both the cases.
Negative case : [tex]-(5x-1)=4[/tex]
[tex]-5x+1=4[/tex]
[tex]-5x=4-1[/tex]
[tex]-5x=3[/tex]
[tex]x=\frac{-3}{5}[/tex]
and,
Positive case : [tex](5x-1)=4[/tex]
[tex]5x=4+1[/tex]
[tex]5x=5[/tex]
[tex]x=1[/tex]
Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.
Convert the following to standard notation.
1.5 x 10
Answer:
15
Step-by-step explanation:
1.5*10 =15
Answer:
15.
Step-by-step explanation:
1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.
4. If mZRST = (12x - 1)º, mZRSU = (9x - 15),
and mZUST = 53°, find each measure.
x=
mZRST =
mZRSU =
Answer:
mZRST = 155°, mZRSU = 102°
Step-by-step explanation:
Given that mZRST = (12x - 1)º, mZRSU = (9x - 15), and mZUST = 53°.
We know that mZRSU + mZUST = mZRST (since S is a common point)
So, (9x - 15)º + 53° = (12x - 1)º
Expanding the brackets we have
9x - 15 + 53 = 12x - 1
collecting like terms, we have
53 - 15 + 1 = 12x - 9x
54 - 15 = 3x
39 = 3x
Dividing through by 3, we have
x = 39/3
x = 13°
So, mZRST = (12x - 1)º
= 12(13) - 1
= 156 - 1
= 155°
So, mZRST = 155°
mZRSU = (9x - 15),
= 9(13) - 15
= 117 - 15
= 102°
So, mZRSU = 102°
k squared - 13k+36
[tex]18n + 20n - 378[/tex]
Answer:
k^2-13+36
38n-378
Step-by-step explanation:
k^2-13k+36
k^2-13+36
The above expression can't be simplified further because they are not like terms.
18n+20n-378
38n-378
Hope this helped ;) ❤❤❤
Give three examples of objects that have potential energy
Answer:
A car parked on a hill, A raised weight, A snow pack.
Step-by-step explanation:
To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
Three examples of objects that have potential energy are, a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.
What is Potential Energy ?
The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.
The basic formula to determine the Potential Energy possessed by the body is given by :
P.E = mgh
examples of objects that are having potential energy are :
1) a child at the top of the seesaw in play-ground.
2) water in dam.
3) rock kept at some finite height of hill.
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A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000. Which function represents the annual salary for total sales of x dollars, where x is greater than $250,000? A) S(x) = 3,000 + 0.025(x – 250,000) B) S(x) = 3,000 + 2.5(x – 250,000) C) S(x) = 12(3,000) + 0.025(x – 250,000) D) S(x) = 12(3,000) + 2.5(x – 250,000)
Answer:
answer is c.
I got it right on edge
Function S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.
Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)
Thus, function S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.
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question is givenin the photo given above
Step-by-step explanation:
In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).
If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.
Hope this helped!
12. What value of c would make x = 4 in the
equation 5 + cx = 13 ?