The water level rises at a rate of 3/(2π) meters per minute when the depth is 6 meters.
How to solveTo find the rate at which the water level rises when the depth is 6 meters in an inverted conical reservoir, follow these steps:
Convert dimensions to meters: height H = 3.6576 m, radius R = 1.2192 m.
Express the radius of the water surface (r) in terms of water height (h): r = (1/3)h.
Write the volume formula (V) in terms of h: V = (1/27)πh³.
Differentiate with respect to time (t): dV/dt = (1/27)π(3h²)(dh/dt).
Plug in given values (dV/dt = 6 m³/min, h = 6 m): 6 = (1/27)π(108)(dh/dt).
Solve for dh/dt: dh/dt = 3/(2π) meters per minute.
The water level rises at a rate of 3/(2π) meters per minute when the depth is 6 meters.
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The question in English
A reservoir in the shape of an inverted cone has a height of 12 feet and a diameter of 8 feet. If water enters the tank at a rate of 6 m/min. Determine how fast the water level rises when its depth is 6 meters.
The radius of a circle is 7.9 cm. Find the circumference to the nearest tenth.
Answer:
50cm
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What are the intercepts of 3x – 2y = 12. put answers in as an orders pair
(PLEASE HELP)
Answer:
x int (4,0)
y int (0, -6)
Step-by-step explanation:
Answer:
(4, -6)
Step-by-step explanation:
To solve for the x-intercept, plug in 0 for y. To solve for the y-intercept, plug in 0 for x. You do this because the x-intercept is the point at which the line intercepts the x-axis, meaning y would equal 0, and the y-intercept is the point at which the line intercepts the y-axis, meaning x would equal 0.
1 point
Tina recorded the low temperatures for the last 7 days. Here are her
observations: 72, 75, 70, 59, 74, 72, 76. Which value from the data set is an
outlier?
Find the area and perimeter.
4x
3x-5
Answer:
P = 2(l+w)
P = 2(7x+5)
P = 14x+5
A = L x W
A = (3x - 5) * 4x
A = 12x^2 - 20x
The area and the perimeter of the rectangle are 12x² - 20x and 14x - 10 respectively.
What is the area and the perimeter of the figure?The figure in the diagram is a rectangle.
The area and perimeter of a rectangle are expressed as:
Area A = length × width
Perimeter P = 2( length + width )
From the diagram:
Length = 3x - 5
Width = 4x
Area A =?
Perimeter P =?
Plug the expressions into the above formulas to solve for the area and the perimeter:
Area A = length × width
Area A = ( 3x - 5 ) × 4x
Area A = 12x² - 20x
The perimeter is:
Perimeter P = 2( length + width )
Perimeter P = 2( ( 3x - 5 ) + 4x )
Add like terms:
Perimeter P = 2( 3x + 4x - 5 )
Perimeter P = 2( 7x - 5 )
Perimeter P = 14x - 10
Therefore, the perimeter is 14x - 10.
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Let m be a positive integer, and suppose that 9 is its own inverse \pmod m, but 3 is \textbf{not} its own inverse \pmod m. How many possible values for m are there?
The number of possible values for m is 3.
An integer a is its own inverse mod m if a * a^(-1) = 1 (mod m)
For the first condition, 9 is its own inverse mod m, 99^(-1) = 1 (mod m)
so 99^(-1) = 1 + km for some integer k.
so 9*9^(-1) - 1 = km
so 8 = km
so m must be a divisor of 8.
For the second condition, 3 is not its own inverse mod m, 33^(-1) ≠ 1 (mod m)
so 33^(-1) = 1 + km for some integer k, k ≠ 0
so 3(3^(-1) - 1) = km
so 3(3^(-1) - 1) = km
so 3(1 - 3^(-1)) = km
so 3(1 - 9^(-1)) = km
so 3(8 - 9^(-1)) = km
so 38 - 39^(-1) = km
so 24 - 39^(-1) = km
so 24 - 27^(-1) = km
so 24 - 27^(-1) = km
so -327^(-1) = km
so -33^(-1) = km
so -33^(-1) = km
so 33^(-1) - 1 = km
so 33^(-1) = 1 + km
so 3*3^(-1) ≠ 1 (mod m)
The only positive integers that divide 8 are 1,2,4 and 8. Out of these, only 8 is not a solution. So the number of possible values for m is 3.
Therefore, The number of possible values for m is 3.
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Can someone answer this for me?
Answer: as per question statement
we need to set up an equation first
p(t)=1200e(0.052*t)
they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present
we need to find population at t=6
we need to plug t=6 in p(t).
P(6)=1200e(0.052*6)=1639.38
1638.38 bacteria were present at that time t=6
Step-by-step explanation: I hope this helps.
The top of a plateau is the highest point in an area. The difference between the top of the plateau and the lowest point in the area is 250 meters. Which word describes this 250-meter measurement
Relief refers to the highest and lowest point elevation in an area.
Relief
Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.
elevation
The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.
geology
Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.
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Answer: Relief
Step-by-step explanation:
Relief refers to the highest and lowest point elevation in an area.
Slope is the measure of steepness
Topography refers to the arrangement of the land in an area
Elevation on the other hand is the distance above sea level
What number should go in the space?
Multiplying by 0.05 is the same as decreasing by _____%.
Answer:
95%
Step-by-step explanation:
When a value is multiplied by 0.05 ;
The equivalent percentage decrease on the value is :
(1 - 0.05) * 100%
0.95 * 100%
= 95%
Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%
Name the slope and y-intercept of the graph of each question
y = 3x + 8
5x+y=17
PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points
Answer:
Step-by-step explanation:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Answer:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Step-by-step explanation:
Whats the answer y’all
The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).
What is the Difference of Two Expressions?The difference of two expressions is determined by subtracting one from the other.
Find the difference of each of the expressions given to determine which will give us 5.
-3 - (-8)
= -3 + 8
= 5
-2 - 3 = -5 [this is not the same as 5]
1 - (-4)
= 1 + 4
= 5
7 - (-2)
= 7 + 2
= 9
-3 - (-8) and 1 - (-4) will give us a difference of 5.
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Plz help me with this plz a thx, but actually know what your doing
Answer:
DB
Step-by-step explanation:
Basically, the radius is the measure of the distance from the center to any point on a circle. Hence the answer, DB.
Mr. Patrick has 30 students in his class working on a project. Show at least 3 different ways he could equally group his students.
I will offer more points soon
Answer:
10 groups of 3, 3 groups of 10 and 5 groups of 6
Step-by-step explanation:
Struggling to work out answer
Answer:
Px⁶ = £1,752.60
Px⁵ = £1,690.50
----------------------
x = 254/245 = 1.0367 = 3.7%
P = 1,752.60 / (254/245)⁶ = £1,411.49
a) £1,411.49
b) 3.7%
please solve for M<UVW
Answer:
53
Step-by-step explanation:
5x²—3x—2=0 by completing the square method
Answer:
{1, -2/5}
Step-by-step explanation:
5x^2 - 3x -2 = 0
x^2 - (3/5)x - 2/5 = 0
( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0
( x - (3/10) )^2 = 2/5+9/100
( x - (3/10) )^2 = (7/10)^2
Take square roots on both sides
x - 3/10 = +/- 7/10
x = 3/10 +/- 7/10
= { 1, -2/5 }
Geometry HELP PLEASE and explain how I can get it
Please check the attached image for answer.
By Benjemin
Use the pattern you found to predict whether each set of lengths below will form a triangle. If a set will form a triangle, state whether the triangle will be acute, obtuse, or right. Justify your conclusion. Pls Help!!!
a. 5 cm, 6 cm, and 7 cm
b. 2 cm, 11 cm, 15 cm
c. 10 cm, 15 cm ,20 cm
d. 10 cm,24 cm, 26 cm
e. 1 cm, 3 cm,9 cm
f. 2 cm, 10 cm, 11cm
From the given measurements a. obtuse b. obtuse c. acute d. obtuse e. With the measurements we can't form a triangle f. obtuse.
How do you name a triangle based on the angle?A triangle can be named based on its angles as follows:
Acute Triangle: A triangle where all three angles are less than 90 degrees is called an acute triangle.
Obtuse Triangle: A triangle where one angle is greater than 90 degrees is called an obtuse triangle.
Right Triangle: A triangle where one angle is exactly 90 degrees is called a right triangle.
a. The set of lengths 5 cm, 6 cm, and 7 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 5² + 6² < 7², the triangle will be obtuse.
b. The set of lengths 2 cm, 11 cm, and 15 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 2² + 11² < 15², the triangle will be obtuse.
c. The set of lengths 10 cm, 15 cm, and 20 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 10² + 15² > 20², the triangle will be acute.
d. The set of lengths 10 cm, 24 cm, and 26 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 10² + 24² < 26², the triangle will be obtuse.
e. The set of lengths 1 cm, 3 cm, and 9 cm will not form a triangle because the sum of the two smaller sides is not greater than the largest side.
f. The set of lengths 2 cm, 10 cm, and 11 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 2² + 10² < 11², the triangle will be obtuse.
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Suppose R and S are relations on {a, b, c, d}, where R = {(a, b),
(a, d), (b, c), (c, c), (d, a) } and S = {(a, c), (b, d), (d, a) }. Find the
followings. [20 pts.] a. R3 b. $3 c. ROS d. RUS e. S - R
a. R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.
b. S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.
c. R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}
d. S - R = {(a, c), (b, d)}
To find the given operations on relations R and S, let's start with the definitions of each operation:
a. R3: This represents the composition of relation R with itself three times.
To find R3, we need to perform the composition operation on R three times:
R3 = R ∘ R ∘ R
Calculating R ∘ R:
R ∘ R = {(a, c), (a, a), (b, a), (c, c), (d, b), (d, d)}
Now, let's calculate R ∘ R ∘ R:
R ∘ R ∘ R = R ∘ (R ∘ R)
= R ∘ {(a, c), (a, a), (b, a), (c, c), (d, b), (d, d)}
= {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}
Therefore, R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.
b. $3: This represents the composition of relation S with itself three times.
To find S3, we need to perform the composition operation on S three times:
S3 = S ∘ S ∘ S
Calculating S ∘ S:
S ∘ S = {(a, a), (a, d), (b, a), (d, c)}
Now, let's calculate S ∘ S ∘ S:
S ∘ S ∘ S = S ∘ (S ∘ S)
= S ∘ {(a, a), (a, d), (b, a), (d, c)}
= {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}
Therefore, S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.
c. R ∪ S: This represents the union of relations R and S.
R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}
d. R ∩ S: This represents the intersection of relations R and S.
R ∩ S = {(d, a)}
e. S - R: This represents the set difference of relation S and relation R.
S - R = {(a, c), (b, d)}
Therefore:
a. R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.
b. S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.
c. R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}
d. S - R = {(a, c), (b, d)}
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what is The Vertical Angles Theorem
Answer:
Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. Vertical angles are always congruent angles, so when someone asks the following question, you already know the answer.
Please mark me the brainliest!?!
What is the value of x? Round to the nearest tenth if necessary. 11 cm 4 cm cm x cm 8 cm
The volume of the given triangular prism is 192 cubic centimeters.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism. In this case, the base of the triangle has a length of 12 cm and an altitude of 8 cm. Thus, the area of the base can be found using the formula for the area of a triangle, which is (1/2) x base x height.
Area of base triangle = (1/2) x 12 cm x 8 cm = 48 cm²
The height of the prism is given as 4 cm. Therefore, we can now find the volume of the prism by multiplying the area of the base by the height of the prism.
Volume of triangular prism = area of base x height of prism = 48 cm² x 4 cm = 192 cm³
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Complete Question:
Find the volume of the solid. Round to the nearest tenth, if necessary. triangular prism: base of triangle 12 cm, altitude of triangle 8 cm, height of prism 4 cm
PLEZ FIND ANSWER ASAP WILL GIVE BRAINLIEST.
Answer:
y = 4
Step-by-step explanation:
Answer:
The equation of the line is 4
But it is also undefined
Step-by-step explanation:
1 The table that follows shows the fuel prices (in US dollars) in six African countries on 05/06/2019 and 01/03/2021 with the exchange rate per currency on 01/03/2021. Country/ Land Fuel price (in US dollars) in six African countries/ Brandstofprys (in Amerikaanse dollar) in ses Afrika-lande South Africa/Suid-Afrika Angola Zimbabwe Namibia/Namibië Swaziland Botswana Fuel price in US$/ Brandstofprys in VSAS 05/06/2019 01/03/2021 1,04 1,061 0,47 0,254 0,80 1,258 0,88 0,796 0,86 0,87 0,84 0,732 Current dollar exchange rate/currency on 01/03/2021/ Huidige dollarwisselkoers/ geldeenheid op 01/03/2021 R15,36 626,41 Angolan kwanzas/Angola kwanza $1,258 15,36 Namibian dollars/Namibiese dollar 15,35 Swazi emalangeni/Swazi lilangeni 11.14 Botswana pulas/Botswana pula Use the table to answer the questions that follow. 1.1.1 Calculate the fuel price increase for Namibia from 05/06/2019 to 01/03/2021. the (2)
The fuel price increase for Namibia from 05/06/2019 to 01/03/2021 is 0.08 US dollars.
To calculate the fuel price increase for Namibia from 05/06/2019 to 01/03/2021, we need to subtract the fuel price on 05/06/2019 from the fuel price on 01/03/2021.
Fuel price increase = Fuel price on 01/03/2021 - Fuel price on 05/06/2019
Given the fuel prices in US dollars for Namibia:
Fuel price on 05/06/2019 = 0.80 US$
Fuel price on 01/03/2021 = 0.88 US$
Fuel price increase = 0.88 US$ - 0.80 US$
= 0.08 US$
Therefore, the fuel price increase for Namibia from 05/06/2019 to 01/03/2021 is 0.08 US dollars.
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if 75 cookies feed 25 students, then how many cookies are needed to feed 40 students
Answer:
120
Step-by-step explanation:
75 / 25 = 3
40 x 3 = 120
PLZ GIVE BRAINLIEST ONLY NEED 2 MORE!
Answer:
120
Step-by-step explanation:
Hope this helped have an amazing day!
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line x - y = 5?
Answer:
Step-by-step explanation:
-y = -x + 5
y = x - 5
y + 6 = x + 7
y = x + 1
The equation of the line passing through the point ( -7,-6) will be y = x + 1.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
Given that the line that passes through the point (-7, -6) and is
parallel to the line x - y = 5.
The equation of the line will be calculated as:-
-y = -x + 5
y = x - 5
y + 6 = x + 7
y = x + 1
Therefore, the equation of the line passing through the point ( -7,-6) will be y = x + 1
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Your friend is more then 3 minutes late
Understanding inequality statements page 167
Answer:
Step-by-step explanation:
what are the steps to solve 3x+1=4x-8
Answer:
x = 9
Step-by-step explanation:
3x+1=4x-8
-1 -1
3x=4x-9
-4x -4x
-x=-9
x=9
Transforming linear functions :
f(x)=2x is reflected across the y-axis
A function assigns the values. The reflected function across the y-axis will be -2x.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the linear function, f(x)=2x is needed to be reflected across the y-axis, therefore, the reflected function can be found by multiplying the function by -1. Therefore, the reflected function will be,
f(x) = 2x
Reflected function, g(x) = -1 × (2x) = -2x
Hence, the reflected function across the y-axis will be -2x.
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You are baking cookies you need to buy chocolate chips and butterscotch chips you bought eight bags all together chocolate chips cost three dollars and 50 Cent per bag and butterscotchchips cost $4.75 per bag and you spent $30.25 at the store how many bags of each time did you buy
The number of butterscotch bags is 2.75 and the number of chocolate bags is 5.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you bought eight bags altogether chocolate chips cost three dollars and 50 Cent per bag and butterscotch chips cost $4.75 per bag and you spent $30.25 at the store how many bags of each time did you buy
The number of bags will be calculated as,
3.5C + 4.75B = 30.25
C + B = 8
Solve by elimination method,
3.5C + 4.75B = 30.25
3.5C + 3.5B = 28
________________
B = 2.75
The number of chocolate bags,
C + B = 8
C = 8 - 2.75
C = 5.25
Therefore, the number of butterscotch bags is 2.75 and the number of chocolate bags is 5.25.
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Scott brought $23.25 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was one fourth as much as the sketchbook, and the sketchbook cost two thirds the cost of the paint set. Scott had $4.00 left over after buying these items.
Answer:
Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75
Step-by-step explanation:
Let the cost of paint set be = p
Cost of sketchbook 's' = (2 / 3) p
Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p
Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25
Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b
= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25
( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11
p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75
Which numbers in Set A = {5, 9, 12, 14, 18} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 3}
The numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.
How to illustrate the information?It should be noted that even numbers can be divided by 2.
The multiple of 3 in the numbers are 12 and 18 that can be divided by 2 as well.
Therefore, the numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.
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