Answer:
h = [tex]\frac{V}{\pi r^2}[/tex]
Step-by-step explanation:
Given
V = πr²h ( isolate h by dividing both sides by πr² )
[tex]\frac{V}{\pi r^2}[/tex] = h
find the equation of straight line passing through each of the following pairs of points
a) (2,4) and (7,2)
Answer:
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2), so:
Change in y: 2 - 4 = -2
Change in x: 7 - 2 = 5
Slope: [tex]m = \frac{-2}{5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + b[/tex]
(2,4)
This means that when [tex]x = 2, y = 4[/tex]. So
[tex]y = -\frac{2}{5}x + b[/tex]
[tex]4 = -\frac{2}{5}(2) + b[/tex]
[tex]b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}[/tex]
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
Tính (1,5)4; ((-2)/3)3; (√3)5.
Step-by-step explanation:
câu trả lời là trong bức ảnh trên
Which operation should you perform first in the expression 7x2^3?
Answer:
Below,
Step-by-step explanation:
The exponent part is done first
7 x 2^3
= 7 * 8
= 56.
You use the acronym PEMDAS:-
( E ( exponential) comes before M (multiply))
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?
10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
–32 and 2
–2 and 32
–2 and 2
–32 and 32
Answer:
-2 and -2
Step-by-step explanation:
Find the sum of the first 5 terms of the following geometric series.
512 - 256 + 128 +...
Answer:
352
Step-by-step explanation:
512 - 256 + 128 - 64 + 32 = 352
show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1
Answer:
y³ + x³ = 1
First, differentiate the first time, term by term:
[tex]{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}[/tex]
↑ we'll substitute this later (4th step onwards)
Differentiate the second time:
[tex]3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\[/tex]
[tex]3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}[/tex]
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11
Answer:
I think choose (1)
[tex]125 ^{ \frac{1x}{3} } [/tex]
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answer:
We want to find the graph of:
|x| = 3
Remember how the absolute value function works:
|x| = x if x ≥ 0
|x| = -x if x < 0
Then for the equation:
|x| = 3
We have two possible values of x:
x = 3
|3| = 3
and x = -3
|-3| = -(-3) = 3
Then the graph of this equation is two vertical lines, one at:
x = 3
and another at:
x = -3
The graph can be seen below:
If 12 muffins cost $27, how much would 2 muffins cost?
Please can you help me
Answer:
[tex]x = 24.75[/tex]
Step-by-step explanation:
Required
Find x
To find x, we have:
[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle
Because [tex]\bar {PR}[/tex] is extended to S, then:
[tex]\angle QRS = \angle QRP[/tex]
So, we have:
[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]
Collect like terms
[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]
[tex]8x = 198[/tex]
Divide by 8
[tex]x = 24.75[/tex]
Please help pleaseeeeee
Answer:
Step-by-step explanation:
Pythagorean theorem states, square of longer is equal to the sum of square of other sides.
That is, c² = a² + b²
[tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]
Therefore, the lengths satisfies Pythagorean Theorem.
If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.
Identify the 3D shape shown below
Answer:
square pyramid...........
Answer:
SQUARE PYRAMID
Step-by-step explanation:
help please show work
please help meeeeeeeeeeeeeeeeee
pt 1
Answer:
Completing the square
Step-by-step explanation:
The proof is lengthy, and I don't think you came here to see that whole proof. Here it is anyway to show you the process of completing the square.
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/quadratic-formula-proof-review
Pic added
Solve for x.
L
20x + 10
850
K
J
3
8
Answer:
Option (3)
Step-by-step explanation:
By applying the property of inscribed angle and intercepted arc in the given circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]
[tex]85=\frac{1}{2}(20x+10)[/tex]
[tex]170=20x+10[/tex]
[tex]20x=160[/tex]
[tex]x=8[/tex]
Therefore, Option (3) is the correct option.
HELP MATH ANSWER QUESTION
the answer is in the picture
5v– 1/2 =4+ 3/2 v
How does one person solve this if the like terms are on opposite sides?
Answer:
Step-by-step explanation:
Given
[tex]5v - 1/2 = 4 + 3/2v[/tex]
Required
Solve
We have:
[tex]5v - 1/2 = 4 + 3/2v\\[/tex]
Collect like terms
[tex]5v - 3/2v = 4 + 1/2[/tex]
Express fractions as decimals
[tex]5v - 1.5v = 4 + 0.5[/tex]
[tex]3.5v = 4.5[/tex]
Make v the subject
[tex]v= \frac{4.5}{3.5}[/tex]
Divide by .5
[tex]v= \frac{9}{7}[/tex]
help i’ll give brainliest
Answer:
5
Step-by-step explanation:
Y intercept = y value of point where the line passes the y axis
The line passes the y axis at (0,5) and the y value of that point is 5
Therefore y intercept = 5
Answer:
5........................................................................................
67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
2/3
Step-by-step explanation:
2/3 is 66 2/3%
what is 186.4 ounces oz of water in millliiters (mL)
Answer:
The answer is 5284.35 using the conversion
Answer:
5284.4
Explanation:
Tbh if you have a conversion table then see the conversion for what 1 oz is equal to in mL and do the math like that… •_•
Hope this helps, have a good day!
What is the answer. I need it ASAP u have to choose 3 answers
Cos15°°- Sin 15°= 1/√2
Hope it's help you
06.04 find the area of the image below a.24.6 units b.25.8 units c.26.3 units d.27.5 units
PLEASE HELP ASAP Determine the period.
27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet
The length of the shorter piece is 15.55 feet.
Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio and solve for the lengths of the two pieces.How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feetThus, the length of the shorter piece is 15.55 feet.
As none of the options matches the answer, all options are incorrect.
Learn more about Ratio & Proportion here:
https://brainly.com/question/12182733
#SPJ2
There are 5,000 books in the town's library. Of these, 4,700 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Answer:
94%
Step-by-step explanation:
4,700/5,000 x 100%
0.94 x 100% = 94%
Answer:
94%
Step-by-step explanation:
3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?
Answer:
t = -1
c = 6
s = 8.2 or 8 1/5 (same thing just different notation)
Step-by-step explanation:
3(t+4) = 9
3t + 12 = 9
3t = -3
t = -1
-(c-6) = 0
-c + 6 = 0
-c = -6
c = 6
-10(s+4) = -122
-10s - 40 = -122
-10s = -82
10s = 82
s = 82/10 = 8.2 or 8 2/10 or 8 1/5
Evaluate the expression for the given value of the variable.
3x + 4 when x = 2
5y - 3.6 when y = 4
7z4+ 1.05 when z = 1.2
20 - b3.2when b = 5.2
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes to be sold and divide by the number of girls in the troop
1000/13
76.92307692
Round up
77
Each girl must sell 77
77*13 =1001