The volume of the tank is 15315.35
What is volume?Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up.
Given that,
Top Outlet Tank
Height (h): 2550 mm
Diameter (d): 2100mm
radius (r) : 2.1/2
Mass: 650kg
The volume, in cubic metres, of the tank is
volume of tank = 2π + π[tex]r^{2} h[/tex]
= 2π(1100) + π(2.1/2)(2550)
= 2(3.14)1100+ (3.14)(2.1/2)(2550)
= 6908+ 8407.35
= 15315.35
Therefore, the volume of the tank is 15315.35
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what is one halve times four times five
Answer:
10
Step-by-step explanation:
The price of an item has been reduced by $3.27 the original price was $48.92 what is the price now
HELPPPPP PLEASE
Answer:
$45.65
Step-by-step explanation:
$48.92 - $3.27 = $45.65
hello please help me on this question as soon as possible
10 POINTS
The number of groups of 5/7 that are in 1 is 1 2/5.
when 8 is divided by 5/7, the quotient is 11 1/5.
What are the required values?A proper fraction is a non-integer in which the numerator is less than the denominator. The numerator is the number above and the denominator is the number below. An example of a proper fraction is 5/7.
In order to determine the groups of 5/7 are in 1, divide 1 by 5/7. Division is the process of determining the quotient of two or more numbers. Division is the process of grouping a number into equal groups using another number. The sign that denotes division is ÷.
1 ÷ 5/7
1 x 7/5 = 7/5 = 1 2/5
8 ÷ 5/7
8 x 7/5 = 56 / 5 = 11 1/5
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Its urgent please help with all 6!!!
Using the segment addition postulate and the properties of equality, the value of n is determined as explained below.
What is the Segment Addition Postulate?The segment addition postulate states that if points X, Z, and Y are collinear and lie on a straight line, then the sum of the lengths of XZ and ZY would be equal to the length of XY.
Using the segment addition postulate and other properties of equality, the value of n in the image is determined as explained below:
XY = 42 Given
XZ + ZY = XY a. segment addition postulate
3(n + 4) + 3n = 42 b. substitution
3n + 12 + 3n = 42 c. distributive property
6n + 12 = 42 d. Combine like terms
6n = 30 e. subtraction property of equality
n = 5 f. division property of equality
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(3.8 x 10^8)(6.9 x 10^5)
2.622e+14
OR
262200000000000x^2
Answer:
2.622e+14
Step-by-step explanation:
10^8=100000000
100000000x3.8=380000000
10^5=100000
100000x6.9= 690000
380000000x690000= 2.622e+14
Please Help I would really appreciate it!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:slope(m) = \dfrac{3}{4} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Slope (m) of a line can be calculated by using this formulae :
[tex]\qquad \tt \rightarrow \: m = \dfrac{rise}{run} [/tex]
Considering two points [ (10 , 10) and (50 , 40) ]
[tex]\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{40 - 10}{50 - 10} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{30}{40} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{4} [/tex]
So, slope of given line is 3/4
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
To find the slope of a graph you need to look for 2 pairs of accurate xand y values
First value which is accurate is:
x = 10 and y= 10
Second pair which is accurate is :
x = 50 and y = 40
Gradient = rise/run = y2-y1/x2-x1
im taking y2 as 40, x2 as 50, y1 as 10 and x1 as 10
40-10/50-10
= 30/40
=3/4
plsss mark as brainliest
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work.
3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5
Which is the most accurate description of Miko’s work?
A.Miko found the correct quotient and checked her work using multiplication correctly.
B.Miko found the correct quotient but checked her work using multiplication incorrectly.
C.Miko found an incorrect quotient but checked her work using multiplication correctly.
D.Miko found an incorrect quotient and checked her work using multiplication incorrectly.
The accurate description of Miko’s work is that D. Miko found an incorrect quotient and checked her work using multiplication incorrectly.
How to calculate the expression?From the information, Miko wants to complete the fraction division 5 divided by five-thirds.
This will be illustrated as:
= 5 ÷ 5/3.
= 5 × 3/5
= 3
From the information, the multiplication that was done to check the answer was:
= 3 × 5/3
= 5..
It should be noted that the quotient and the multiplication are wrong. Therefore, the correct option is D.
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please help me on this i don’t know how to do it like help me my brother
The line segment NO of the triangle MNO, that is similar to the triangle QRS, has a length of 25 meters.
How to determine the missing length of geometric system formed by two similar triangles
In this problem we have a system of two similar triangles. Two triangles are proportional when the sides of a triangle are proportional to the corresponding sides of the other triangle. Herein we find the following relationship:
MN / QR = NO / RS = MO / QS
If we know that QR = 1 m, MN = 5 m and RS = 5 m, then the length of the line segment NO is:
NO = (MN / QR) · RS
NO = (5 m / 1 m) · 5 m
NO = 25 m
The line segment NO has a length of 25 meters.
RemarkThere is a typing mistake in the statement, correct form is introduced below:
Given ΔMNO and ΔQRS are similar triangles. If QR = 1 meters, MN = 5 meters and RS = 5 meters. What does line NO equal to?
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Find RS
QR = 11
RS = 3x
the one of the bottom that is the same length as the top is 7x-1
Answer:
RS = 9
X = 3
Step-by-step explanation:
Because QS = QR + RS
QR = 11
RS = 3x
QS = 7x -1
So ...
11 + 3x = 7x - 1
+1
12 + 3x = 7x
-3x
12 = 4x
/ 4
x = 3
3(3) = 9
RS is 9
Solve for x.
X-5=11
x = [?]
Answer: =16
Step-by-step explanation:
X-5=11
⇒X=11+5=16
⇒X=16
What is the truth value for the following conditional statement?
p: false
q: true
~p~q
OTF F
OTF-T
OFF-T
OFT F
This is the right response: T F- F.
What is the explanation:
If the answer to the following question is p, then 2 + 2 = 4.
which is accurate, meaning that this statement has a truth value of True.
The following assertion q illustrates q: 7 + 1 Equals 7.
This is untrue, making the statement's truth value Untrue
As far as we are aware, "pq (p implication q)" means that the truth value of the implication is False only when the truth value of statement p is True.
The truth table reveals that the truth value of pq will be False
So T F → F
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The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(6x+3)°
(2x+7)°
The smallest angle of the right triangle is 27 degrees.
How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, the measure of the smallest angle in the triangle can be found as follows:
90 + 6x + 3 + 2x + 7 = 180
combine like terms
90 + 6x + 3 + 2x + 7 = 180
6x + 2x + 90 + 3 + 7 = 180
8x + 90 + 10 = 180
8x + 100 = 180
subtract 100 from both sides of the equation
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
divide both sides by 8
8x / 8 = 80 / 8
x = 10
angle 1 = 6(10) + 3 = 60 + 3 = 63°
angle 2 = 2(10) + 7 = 20 + 7 = 27°
Therefore,
smallest angle of the triangle = 27 degrees.
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CARD #9:
V (2,2) U(6,2) T(2,10)
Triangle TUV will be dilated by a
scale factor of 2.
Isaac says
that T will be
located at
(4, 20).
Isabelle says
that T' will be
located at (4, 12).
Isaac's statement that T will be located at (4, 20) is correct
How to determine the correct statement?The coordinates of the triangle are given as
V (2,2) U(6,2) T(2,10)
The transformation is given as
Scale factor of 2, across the origin
The transformation can be described by (x, y) --> (2x, 2y)
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)By comparing the rules of the above types of transformation, we have
(x, y) --> (2x, 2y)
For point T, we have
(2, 10) --> (2 x 2, 2 x 10)
Evaluate
(2, 10) --> (4, 20)
When the above is compared to the student's result, we have
Isaac = (2, 10) --> (4, 20)
Hence, the correct statement about the transformation is Isaac's statement is correct
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Write the standard form of the line that contains a slope of -3/2
and y-intercept of 6. Include your work in your final answer. Type your answer in the box provided to submit your solution.
The standard form of the line that contains a slope of -3/2 and y-intercept of 6 is y = (-3/2)x + 6.
The slope intercept form of a line is:-
y = mx + c
Where,
m represents the slope of the line,
(x,y) represents the ordered pair of coordinates of each point on the line, and
c is the y-intercept
The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Hence, we have,
m = -3/2
c = 6
Hence, the standard form of the line that contains a slope of -3/2 and y-intercept of 6 is given by:-
y = (-3/2)x + 6
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Polly used 15/16 pounds of sugar to make 5 batches of cupcakes for a party. She uses the same amount of sugar to make each batch of cupcakes. How many pounds of sugar are in each batch? (I have my answer, but have no clue how to show it visually.
Based on the number of batches of cupcakes, the pounds of sugar in each batch can be found to be 3 / 16 pounds
Find out more below
How to find the pounds of sugar?The total number of pounds of sugar that Polly used was 15/16 pounds of sugar and she used these to make 5 batches of cupcakes.
Each of this batches of cookies used the same amount of sugar so the amount of sugar per batch of cookie is:
= Total number of pounds of sugar used / Number of batches of sugar
Solving for the pounds of sugar gives:
= 15/16 ÷ 5
= 15/16 x 1/5
= 15 / 80
= 3 / 16 pounds
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write and find the general solution of the differential equation that models the verbal statement. the rate of change of n is proportional to n. (use k for the proportionality constant.) evaluate the solution at the specified value of the independent variable. when t
the whole answer to the differential equation used to model the statement. The relationship between the rate of change of n and n is (dN/dt)=kN.
Differential equation definitionA differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
According to given data;
The derivative of N with respect to t, or (dN)/(dt), represents the rate of change of N.
dN/dt = kN, where k is the proportionality constant, if the rate of change of N is proportional to N. We must solve this differential equation.
To solve it, separate the variables:
(dN)/N = kdt
Integrating both sides results in
ln N = kt + C , where C is another constant.
This can be rewritten in exponential form as
N = e^(kt + C)
= N_0e^(kt) .
Here, N_0 = e^C
and it equals N(t) when t = 0.
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What is the quotient of 9,750 divided by 15? 65 650 975 6,500
Answer:
Step-by-step explanation:
The answer is 650 if you use long division you get 6 to make 90 drop the 7 then it is 75 15 goes into 75 5 times then add a zero for the last digit there for making 650. I also checked my work by multiplying 15X650 and I got 9,750.
I need help with number 11 - 16
Answer: Where is the question I can help if you put in the question.
Step-by-step explanation:
When Riley left her house in the morning, her cell phone battery was partially
charged. The charge remaining in Riley's battery, as a percentage, can be modeled by
the equation B = 40 - 5t, where t is the number of hours since Riley left her
house. What is the x-intercept of the equation and what is its interpretation in the
context of the problem?
Riley's phone had a 50% charge when she left her home in the morning. Equation B = 40 - 5t. The x-intercept of the equation is (8,0). After 8 hours, Riley battery has no charge left in it ( since Riley left her house).
Given that,
Riley's phone had a 50% charge when she left her home in the morning. Equation B = 40 - 5t, where t is the number of hours since Riley left her residence, can be used to predict the percentage of charge still in Riley's battery.
We have to find what is the equation's x-intercept and how is it interpreted in the problem's context.
The equation B=40-5t can be used to model Lauren's battery charge remaining as a percentage when t is the number of hours since she left her home.
Put B = 0 to determine the x-intercept. (In this case, the independent variable is "t," as x signified the independent variable).
0=40-5t
5t=40
t=40/5
t=8
Therefore, the x-intercept of the equation is (8,0).
After 8 hours, Riley battery has no charge left in it ( since Riley left her house).
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It costs a flat fee of $100 to rent a water taxi, plus $15 per hour the water taxi is rented.
a. Circle any key words that can help you model this situation as a function!
b. Define your input variable, x:
15
c. Write a function, f(x), to model this scenario:
d. Find f(3). What does this value represent, in context?
e. What is the predicted cost of the water taxi, if you rent it for four hours? Express this
value in function notation.
Answer:
the answer is *a sorry if wrong
How will the area of a square change if its side becomes twice as long; 3 times as
long; 10 times as long; n times as long?
area increase by ( n squared.)
Step-by-step explanation:
consider a square whose sides are 3 by 3.Its area will be 9. if its length becomes twice as long,i.e 6 by 6 ,the area is 36.The ratio between the areas is 1:4 ,hence does the area.In short ,its area increases by 4 times.
Please help! See attachment! Thank u
The missing statements in the given paragraph proof are:
1) corresponding angle postulate
2) angles 3 and 1
3) transitive property of parallel lines
In this question, we have been given a paragraph proof.
we need to complete this proof.
We have been given L || K and M || K
To prove: L || M
Since L || K, ∠2 ≅ ∠1 by the corresponding angle postulate
Since M || K, angles 3 and 1 are congruent for the same reason.
By the transitive property of congruence, ∠2 ≅ ∠3
By the transitive property of parallel lines, L || M
Therefore, the missing statements in the given paragraph proof are:
1) corresponding angle postulate
2) angles 3 and 1
3) transitive property of parallel lines
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if two dice are rolled one time, find the probability of getting these results. enter your answers as fractions or as decimals rounded to 3 decimal places. part: 0 / 40 of 4 parts complete part 1 of 4 (a)a sum of 11
When two dice are rolled one time, the probability of getting a sum of 11 is 1/18.
How to calculate the probability?From the information, two dice are rolled one time. There are 6 different possibilities and the outcomes of rolling the dice will be:
= 6 × 6 = 36
It should be noted that the sum of 11 can be gotten as (6, 5) and (5, 6). That's 2 out of 36.
Therefore, the probability will be:
= 2 / 36
= 1 / 18
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MATHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer:
Y=136
Step-by-step explanation:
When adding and subtracting with significant digits, it's important to consider decimal places in the numbers being added.
TRUE or FALSE?
Answer:
false
Step-by-step explanation:
pls pls help whoever gets it right gets marked brainliest
Answer:
Step-by-step explanation:
B
For the equation:
5 (2X +7) -15= 15
What might be the first step to solving the equation?
Answer:
Using inverse operations to isolate teh variable 'X'.
Step-by-step explanation:
THE FIRST STEP IS TO MULTIPLY EACH AND EVERY TERM IN THE BRACKETS BY 5
[tex]5(2x) + 5(7) - 15 = 15 \\ 10x + 35 - 15 = 15[/tex]
THEN GROUP THE LIKE TERMS TOGETHER. WHEN TERMS MOVE ACROSS THE EQUAL SIGN THEY CHANGE SIGNS.
[tex]10x = 15 - 35 + 15 \\ 10x = - 5[/tex]
[tex] \frac{10x}{10} = \frac{ - 5}{10} \\ x = \frac{ - 5}{10} \\ x = - \frac{1}{2} [/tex]
ATTACHED IS THE SOLUTION
DOMAIN AND RANGE FOR BOTH OF TGOSE FUNCTIONS!!! PLEASE HELP IMMEDIATELY!!! WILL MARK BRAINLIEST AND GIVE EXTRA POINTS!! PLEASE HELP!!!
Answer: So think of x to y cordinents. You have reguler numbers and negitive numbers where would you but the regulear numbers? and where would you put the negitve numbers? So what is range? Range is yo subtracting the largeest number form the littlest number.
Step-by-step explanation:
An ice cream truck driver sold 2,812 popsicles and 2,265 ice cream bars in one month. he had 422 treats left over. how many treats did he have to start with? 4,499 total treats 5,500 total treats 5,499 total treats 4,500 total treats
Answer: 5499
Step-by-step explanation:
2812 + 2265 + 422 = 5499
Liz has a recipe that uses 1 1/3 cups of sugar and 2 1/4 cups of flour to make 18 muffins. She has a total of 9 cups of flour. Liz wants to use all of her flour to make as many muffins as possible using this recipe.
Exactly how many cups of sugar will Liz use if she use all 9 cups of flour? & how many muffins will Liz make if she uses all 9 cups of flour?
well, first off let's convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} ~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}}[/tex]
now, let's use proportions to bind the sugar and flour that she'll be using, now if she were to use the 9 cups of flour, let's see how much will that be in sugar for this recipe
[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&\stackrel{cups}{flour}\\ \cline{1-2} \frac{4}{3}&\frac{9}{4}\\[1em] S&9 \end{array}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{S}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{9}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{\frac{S}{1}}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{\frac{9}{1}}\implies \cfrac{4}{3S}=\cfrac{1}{4} \\\\\\ 16=3S\implies \cfrac{16}{3}=S\implies \boxed{ {\Large \begin{array}{llll} 5\frac{1}{3}=S \end{array}}}[/tex]
now, we know that 9/4 cups of flour gives Liz 18 muffins, well hell how many for 9 cups of flour then?
[tex]\begin{array}{ccll} \stackrel{cups}{flour}&muffins\\ \cline{1-2} \frac{9}{4} & 18\\[1em] 9& M \end{array} \implies \cfrac{~~ \frac{ 9}{4 } ~~}{9}~~=~~\cfrac{18}{M}\implies \cfrac{~~ \frac{ 9}{4 } ~~}{\frac{9}{1}}~~=~~\cfrac{18}{M} \\\\\\ \cfrac{1}{4}=\cfrac{18}{M}\implies \boxed{M=72}[/tex]