The formula for the volume of a cylinder is
V
=
π
r
2
h
,
V=πr
2
h, where
r
r is the radius of the cylinder and
h
h is the height of the cylinder. Rewrite the formula to solve for
h
h in terms of
r
r and
V
.
V.
Greetings from Brasil...
V = πr²h - isolating h
h = V/πr²A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
a) y=-x+5
b) y=-x-2
c) y= 4x + 2
d) y=-4x-4
Answer: Any line with slope of -3/4
Reason:
Let's calculate the slope of the line through those two points
[tex](x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\[/tex]
The slope of the line is 4/3
Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).
So for example, the answer may be something like [tex]y = -\frac{3}{4}x+5[/tex] or [tex]y = -\frac{3}{4}x-2[/tex]. All that matters is the -3/4 out front of the x.
Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1
tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters. the actual length of a building at the school is 40 meters. how long is the building in the drawing?
The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
Let the length of the building in the drawing be x.
According to the given question.
Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.
So, the given sclae is 1cm : 2m
Also, the actual length of the bulding at the school is 40 meters.
Since, we have to find the the length of the building in the drawing.
Now by the proportional formula we can say that
x : 40 = 1 : 2
⇒ 2x = 40
⇒ x = 20 cm
Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
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Answer:
if your doing IXL than 20cm is correct
Step-by-step explanation:
cylinder a has a radius of 10 inches and a height of 5 inches. cylinder b has a volume of 750π. what is the percentage change in volume from cylinder a to cylinder b?
There is 50% increase in the change in the volume of cylinder A to A
The formula for the volume of the cylinder is given as
V = Πr^2h (1)
Where, r = radius of the cylinder
h = height of the cylinder
We have been given the radius and height of cylinder A which are,
r = 10 inches
h = 5 inches
Now putting the required values in equation (1) we get
V = Π(10)^2(5) cubic inches
V = Π*100*5 cubic inches
V = 500Π cubic inches
We have also been given the volume of cylinder B = 750Π
Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100
= 50%
Hence there is 50% increase in the change of the volume from cylinder A to B
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Let f (x) = -4+1 Write a function g whose graph is a reflection in the y-axis of the graph of f.
If the function is reflected across the y-axis of the graph of f, the resulting function will be g(x) = 4x + 1
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is reflected in the y-axis, the resulting function will be g(x) = f(-x)
Given the function f(x) = -4x+1 if the function is reflected in the y-axis of the graph of f.f, the resulting function will be;
g(x) = f(-x)
g(x) = -(-4x) + 1
g(x) =4x + 1
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HELP ME PLEASE I AM SO CONFUSED
Answer:
19,,
Step-by-step explanation:
A (-2,y) B (4,-6), gradient: -1/6
Find y using the cross-multiply method
We use the slope equation to solve for the slope/gradient of a line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = the slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the lineSolving the Question
We're given:
A (-2,y)B (4,-6)Gradient = [tex]-\dfrac{1}{6}[/tex][tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given information:
[tex]-\dfrac{1}{6}=\dfrac{-6-y}{4-(-2)}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{4+2}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{6}[/tex]
Cross multiply (by multiplying the numerators by the opposite denominators):
[tex]-\dfrac{1}{6}=\dfrac{-6-y}{6}\\\\-1\times 6=6(-6-y)\\-6=-36-6y\\30=-6y\\y=-5[/tex]
Answery = -5
The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?
(–1, –4)
(–4, –1)
(1, StartFraction one-fourth EndFraction )
(1, negative StartFraction one-fourth EndFraction )
Using translation concepts, the point that lies on the new graph is given by: (-1, -4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:
f(ax).
Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:
g(x) = f(4x) = 4x.
Then when x = -1, the output is given by:
g(-1) = 4(-1) = -4.
The point that lies on the new graph is given by: (-1, -4).
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14 less twice the sum of m and 12 is at most 24.
Find all the solutions for m. Give all three
representations.
The solution to the given inequality are x ≤ 7, and (-∞, 7).
Inequality expressionsInequality expressions are expressions that are not separated by an equal sign.
For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:
2(x+12)-14 ≤ 24
Simplify
2x + 24 - 14 ≤ 24
2x + 10 ≤ 24
2x ≤ 24 - 10
2x ≤ 14
Divide both sides by 2
x ≤ 14/2
x ≤ 7
Hence the solution to the given inequality are x ≤ 7, and (-∞, 7).
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The Difference of twice a number(n) and 7 is 9
The algebraic expression of the statement is 2n - 7 = 9
How to write as an expression?The mathematical statement is given as;
The Difference of twice a number(n) and 7 is 9
Twice a number n means 2n
So, we have
The Difference of 2n and 7 is 9
Difference means minus
So, we have
2n - 7 = 9
Hence, the algebraic expression of the statement is 2n - 7 = 9
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Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 555 limbs, lost 121212 limbs, and grew another 222 limbs.
There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Now,
Based on the given conditions, we formulate;
5 - 12 + 2
Calculate the sum or difference = - 7 + 2 = -5
We get the result = -5
Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.
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what reason proves that angle 2 is congruent to angle 6?
Answer:
they are the same angular size. If you put them on top of each other it would be the same.
Rent controls are best illustrated by:
Answer:
E
Step-by-step explanation:
The scale on the horizontal axis is 5 s per division and on the vertical axis 9 m per division. What is the time represented by the third tic mark on the horizontal axis? Answer in units of s.
Using proportions, it is found that:
The time represented by the third tic mark on the horizontal axis is of 15 seconds.The position represented by the fourth tic mark on the vertical axis is of 36 meters.The position at t = 15s is of 18 m.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
On the horizontal axis, each tic represents 5 seconds, hence:
3 x 5 = 15 seconds.
The time represented by the third tic mark on the horizontal axis is of 15 seconds.
On the vertical axis, each tic represents 9 meters, hence:
4 x 9 = 36 meters.
The position represented by the fourth tic mark on the vertical axis is of 36 meters.
When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:
The position at t = 15s is of 18 m.
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Simplify expressions with distribution
4(5y + 2z) + 8z - 4(5z - 2y)
Answer:
28y - 4z
Step-by-step explanation:
Hey there!
In order to simplify this, we need to first distribute the numbers outside of the parentheses to the numbers inside the parentheses:
20y + 8z + 8z - 20z + 8y
Now we combine like terms:
28y - 4z
HELP WILL NAME BRAINLIEST
An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.
Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:
v = d/5.
v = 0.2d.
For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:
v - 99 = d/6.
From the first equation, we have that:
v = 0.2d.
Replacing on the second:
0.2d - 99 = d/6.
d(0.2 + 1/6) = 99
0.3667d = 99
d = 99/0.3667
d = 270 miles.
The distance of the plane ride is of 270 miles.
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What’s the answer? And write the steps on how you go the answer.
Answer:
it's a very easy question.
let the unknown point be x,y.
what number has 7 in tens and thousandths places,2 in the hundredths ,tenths and ones places , and 6 in the hundredths place?
The correct answer for the following question is [tex]672.227[/tex]
As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.
Before solving this question, we need to know about decimal place values and its operations.
Solving as per given statements,
7 in tens place, [tex]7*10=70[/tex]
7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]
2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]
2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]
2 in ones place, [tex]2*1=2[/tex]
6 in hundreds place, [tex]6*100=600[/tex]
Adding the above values and we will get 672.227
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please look at picture this thing is due next day
Snail will have to travel shortest distance of (C) 11 cm
The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -
Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -
Diagonal = ✓(4² + 4² + 10²)
Taking square of the number
Diagonal = ✓(16 + 16 + 100)
Performing addition on Right Hand Side of the equation
Diagonal = ✓132
Taking square root
Diagonal = 11.49 cm
Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.
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The sum of 3 consecutive positive integers is 9 less than the product of the largest and smallest of the same 3 integers.
What is the smallest of these 3 integers?
The smallest integer is 4.
How to calculate the value?Let the numbers be x, x+1 and.x + 2.
Therefore, the expression will be:
x + x + 1 + x + 2 = x(x + 2) - 9
3x + 3 = x² + 2x - 9
Collect like terms
x² + 2x - 9 - 3x - 3
x² - x - 12 = 0
x² -4x + 3x - 12
x(x - 4) + 3(x - 4)
x - 4 = 0
x = 0 + 4 = 4
The smallest number is 4.
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In the figure below, the measure of 21=3x°, the measure of 22=yº, and the measure of 23=87°. Find the value of each variable.
X=
2
3
(Type a whole number.)
(Type a whole number.)
D
I have 10 minutes til class is over
Answer:
21÷3=3×÷3
7=×
-x=-7
x=7
22=y
-y=-22
y=22
if -16 is added to a number and the sum is doubled, the result is 1 less than the number. find the number.
The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.
Let the unkown number be x.
Now according to the given question.
If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.
⇒ (x + (-16))2 = x - 1
⇒ 2x - 32 = x - 1
⇒ 2x - x = -1 + 32
⇒ x = 31
Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.
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Question 4
Find the values of x, y and z.
100⁰ X
B..
y
N
Answer:
y=x=70
hope this helps
Step-by-step explanation:
In parallelogram the adjacent angles are supplementary
∠TBE+y=180
110+y=180
y=70
Also, opposite angles of a parallelogram are equal.
z=∠TSE=110
y=x=70
f(x)=9 find the following values
2f(x) +3
Answer
this question is impossible no expert can solve this!11!1!!!
Step-by-step explanation:
none
helpp this is due tomorrow and i don’t understand it
Answer:
Step-by-step explanation:
Not Sure
Area of PNQ + Area of LPQ = Area of LQM
Area of LQM = 8cm² + 16cm²
Area of LQM = 24cm²
37. Multiple Choice
Which conditional and its converse are both true?
A If x= 1, then 2x 2.
B If x= 3, then x² = 6.
DIf x² = 4, then x = 2.
C If x = 2, then x² = 4.
Answer:
does ² mean ×2?
cuz if it does that maybe I can help
One of the following statements is incorrect. identify! a 3/11 < 5/13 b 5/6 < 7/8 c 2/3 > 1/2 d 7/8 > 10/11
The incorrect option is d) 7/8 > 10/11.
a) 3 / 11 < 5/13
3/11 = 0.2727
5/13 = 0.3846
As it is given 3/11 < 5/13
hence a) 3 / 11 < 5/13 is correct.
b) 5/6 < 7/8
5/6 = 0.8333
7/8 = 0.875
As it is given 5/6 < 7/8
hence b) 5/6 < 7/8 is correct.
c) 2/3 > 1/2
2/3 = 0.6666
1/2 = 0.5000
As it is given 2/3 > 1/2
hence c) 2/3 > 1/2 is correct.
d) 7/8 > 10/11
7/8 = 0.8750
10/11 = 0.9090
As it is given 7/8 > 10/11
hence d) 7/8 > 10/11 is incorrect.
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Solve the equation for x.
2(x+5)+5=6x-4(-5+x)
Answer:
No solution.
Step-by-step explanation:
Simplify the equation.
2(x + 5) + 5 = 6x - 4(-5 + x) {Use distributive property}
2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x
2x + 10 + 5 = 6x + 20 - 4x
2x + 10 + 5 = 6x - 4x + 20 {Combine like terms}
2x + 15 = 2x + 20
This equation has no solution.
suppose you won $15 on a lotto ticket at the local 7-eleven and decided to spend all the winnings on candy bars and bags of peanuts. candy bars cost $0.75 each while bags of peanuts cost $1.50 each.
The slope of a line is defined as the ratio of the difference between the y-coordinate and x-coordinate of the two points m= y₂-y₁/x₂-x₁
We have total spending = $15
So the equation of the budget line will be
PсQс+ PрQр = 15
Where, Pс and Qс is the price of unit candy and quantity of candy respectively. Pр and Qр is the price of unit peanuts and quantity of peanuts respectively.
Part A:Goods A B C D E F Candy Bars 0 4 8 12 16 20Bag of peanuts 10 8 6 4 2 0
Part B :Graph of Budget line
Budget line The slope of a budget is -2 i.e ratio of the prices.
Opportunity costs remain constant as each additional unit of the product is purchased.
The opportunity cost of one more candy bar is 0.5 bags of peanuts.
The opportunity costs of one more bag of peanuts are 2 candy bars.
Part C: No, it tells only what is possible.
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