'X' is the input while the 'C' is the output. Because the value of 'C' depends on the value of 'x', then C would be the dependent variable, and 'C' the independent variable.
A water tank has the shape of a horizontal cylinder with radius 1 meter and length 2 meters. If water is being pumped into the tank at a rate of 5 I cubic meters per minute, find the rate at which the water level is rising when the water is 5 C meters deep. Simplify your answer completely.
Step-by-step explanation:
The answer is dhdt=325πmmin.
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
V=πr2h
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
V=π(5m)2h
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
dVdt=(25m2)πdhdt
In the problem, we are given 3m3min which is dVdt. So we substitute this in:
dhdt=3m3min(25m2)π=325πmmin
Three years after a tree was planted it was 9 feet tall. Seven years after it was planted it was 17 feet tall. a What is the yearly growth rate of the tree? b. Determine the height of the tree when it was planted.
Answer:
your answer i think is 2/3 sorry if i'm wrong
Step-by-step explanation:
asap po please thank you po!
Answer:
Step-by-step explanation:
2. Should be 500
8. Should be 290
The rest are correct
Answer:
1. 100 good job
2. 500 round to the nearest hundred either 400 or 500. 500 is closer.
3. 9,000 good job
4. 7,800 good job
5. 250 good job
6. 4,000 good job
7. 6,800 good job
8. 290 round to the nearest 10 either 290 or 300 290 is closer
9. 400 good job
10. 8,000 good job
Step-by-step explanation:
Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.
Plz help
A)40
B)30
C)24
Answer:
I think its 30 hope this helps and sorry if I get it wrong
Answer:
B) 30
Ok now that you have the answer......
If you have me, you want to share me.
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WHAT AM I???????
GHD989 guys please you this code for guathmath thank you .
I will do that soon okay I will
Forty-eight divided by one hundred equals what?
Answer:
0.48
Step-by-step explanation:
jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48
Answer:
0.48
Step-by-step explanation:
48 divided by 100=0.48
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
write linear equatuon relating x and y for each table x (2,4,6,8). y (5,8,11,14)
Step-by-step explanation:
x increases continuously in steps of 2, y increases continuously in steps of 3.
so the slope of the line is y difference / x difference = 3/2. and the slope is siesta the factor of x in the equation
the line equating looks so far like
y = (3/2)×x + b
to get b we use one of the x and y pairs like (2, 5) and put these values in :
5 = (3/2)×2 + b = 3 + b
b = 2
so, the full equation is
y = (3/2)×x + 2
Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is
.
Answer:
The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.
Step-by-step explanation:
Answer:
39.8
Step-by-step explanation:
edge 2022
f) create a residual plot for your data.
g) does your residual plot show that the linear model from the regression calculator is a good model?
h) using your equation estimate the gpa of a student who studies for 15 hours a week.
PLSSSSS NEED HELP
Answer: Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern.
Step-by-step explanation:
Need this answer for this
Answer:
the point (0,6) is the point that is 1/6 of the way
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Correct answer please
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
May I please receive help?
Please?))
Answer:
50°
Step-by-step explanation:
Please leave a “thanks” heart if I helped.
Drag up the correct symbol to make the following relationships true.
9,100
9,200
42,720
42,650
912
738
helppppppppppppppppppppppppppppppp
Step-by-step explanation:
wjjdjrjdjdjdudidjdkdk pick the C
Answer:
D,
Step-by-step explanation:
Step 1: 47-12=27, 27+(-27)=0
step 2: 27/2=13.5, 2c/2=c
step 3, change 13.5 to fraction which is 13 1/2
(hope it's helpful :)
factorise the following, with steps
Answer:
Step-by-step explanation:
1) Sum = - 9
Product = -36
Factors = -12 , 3 {-12 + 3 = -9 & -12*3 = -36}
3a² - 9a - 12 = 3a² + 3a - 12a - 12
=3a(a + 1) - 12(a + 1)
= (a + 1) (3a - 12)
2) 4a² + 38a - 20 = 4a² + 40a - 2a - 20
=4a(a + 10) - 2(a + 10)
=(a + 10)(4a - 2)
3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9
= 11a(a + 3) - 3(a + 3)
=(a + 3)(11a - 3)
Find the y-coordinate of the vertex point of y = -4(x - 4)(x + 17
(hope this helps) :)
Quadrilateral ABCD has both reflection and rotation symmetry. What type of quadrilateral could it
be? Show or explain.
Answer:
Rhombus
Step-by-step explanation:
So if |AB| = |BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely \overleftrightarrow{BD}. Quadrilateral ABCD is what is called a kite.
Since ℓ contains two vertices of ABCD the other two must be reflections of one another about ℓ. In the picture ℓ goes through A and C and D=rℓ(B). So rℓ interchanges AD¯¯¯¯¯¯¯¯ and AB¯¯¯¯¯¯¯¯ and also interchanges CB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. So if |AB|=|BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely BD←→. Quadrilateral ABCD is what is called a kite. Note that we have implicitly used the fact that ABCD is convex: without this hypothesis, the vertex C could be reflected over BD←→, giving a non convex quadrilateral with exactly one line of symmetry.
Rectangle has rotational and reflectional symmetry.
What is Quadrilateral?
A quadrilateral is a polygon having four sides, four vertices and four angles.
Given that;
Quadrilateral ABCD has both reflection and rotation symmetry.
Now,
A rectangle ABCD has a reflection symmetry because it has two line of symmetry.
And, Rotational symmetry is defined as the number of times an object is exactly identical to the original object in a complete 360° rotation.
So, Rectangle ABCD has rotational symmetry.
Thus, Rectangle has rotational and reflectional symmetry.
Learn more about the quadrilateral visit:
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Fill in the blanks W Two numbers that when multiplied together gives 6 and when added together gives -7 are: and
Answer:
-1 and -6.
Step-by-step explanation:
-1 and -6
-1*-6 = 6
-1 + (-6) = -1-6= -7.
Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3
Answer: 45
Step-by-step explanation:
trying to figure it out
A lab technician has 40 gallons of a 15% iodine solution. How many
gallons of a 40% iodine solution must he add to make a 20% iodine solution?
Please show work!!
The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.
According to the question;
We are required to determine how many gallons of a 40% iodine solution must he add to make a 20% iodine solution.Let gallons of a 40% iodine solution to be added be; x gallons.
Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.
By mass balance of iodine in each solution;
(15% of 40) + (40% of x) = (20% of (40 + x))(0.15 × 40) + 0.4x = 0.2x + 80.2x = 2x = 10 gallons.In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.
Read more:
https://brainly.com/question/20730855
Find the products in simplest form.
8 5
21 16
23. 15 =
RETRY
Answer:
part A[tex] \frac{8}{21} . \: \frac{5}{16} \\ \\ \frac{5}{42} \\ \\ 0.119[/tex]
part B
[tex] \frac{12}{25} . \: \frac{15}{16} \\ \\ \frac{9}{20} \\ \\ 0.45[/tex]
Answer:
8/21 . 5/16 = 5/42
12/25 . 15/16 = 9/20
Step-by-step explanation:
16 = 2 x 8
8/21 . 5/16
= ( 8 x 5 ) / ( 21 x 16 )
= ( 8 x 5 ) / ( 21 x 2 x 8 )
= 5 / ( 21 x 2 )
= 5/42
12 = 3 x 4
15 = 3 x 5
25 = 5 x 5
16 = 4 x 4
12/25 . 15/16
= ( 3 x 4 ) / ( 5 x 5 ) . ( 3 x 5 ) / ( 4 x 4 )
= ( 3 x 4 x 3 x 5 ) / ( 5 x 5 x 4 x 4 )
= ( 3 x 3 ) / ( 5 x 4 )
= 9/20
please hehlp!!!!!!!!!!!!!!!!!!!!!
1. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE
a=5.4,b=9.2
2.Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=7.7 ,c=15.3
3. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=4,c=7.2
4. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=6.5, b=14.7
5. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=8.2 , c=15.6
Answer:
I think its number 4
Step-by-step explanation:
but im not sure
Step-by-step explanation:
here is your answer hope you will enjoy
please mark me as a brainlist
thank you
I PROMISE BRAINIEST IF YOU HELP ME
Answer:
The associative property
Step-by-step explanation:
:/ wait its u again lol
Please help I need 6543÷29 options for answers are below in picture
Answer:
6543÷29
=225.620.......
Which function is equivalent to g ( x ) = x 2 + 15 x - 54?
Answer:
g(x) = (x+18)(x-3)
Step-by-step explanation:
g(x) = x²+15x-54= x²+18x-3x+54= x(x+18) -3(x+18)g(x) = (x+18)(x-3)The domen range of the function y = √(x² - 4) is _____.
Please explain with step i need explanation.
[tex] {\large\underline{\sf{Solution-}}}[/tex]
Given function is
[tex]\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} [/tex]
We know
Domain of a function is defined as set of those real values of x for which function is well defined.
So, y is defined when
[tex]\rm \longmapsto\: {x}^{2} - 4 \geqslant 0[/tex]
[tex]\rm \longmapsto\: {x}^{2} - {2}^{2} \geqslant 0[/tex]
[tex]\rm \longmapsto\: (x - 2)(x + 2) \geqslant 0[/tex]
[tex]\rm\implies \:x \leqslant - 2 \: \: or \: \: x \geqslant 2[/tex]
[tex]\rm\implies \:x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )[/tex]
Now, To find the range of function
We know,
Range of a function is defined as set of those real values which is obtained by assigning the values to x.
So,
[tex]\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} [/tex]
On squaring both sides, we get
[tex]\rm \longmapsto\: {y}^{2} = {x}^{2} - 4[/tex]
[tex]\rm \longmapsto\: {y}^{2} + 4= {x}^{2}[/tex]
[tex]\rm \longmapsto\:x = \sqrt{ {y}^{2} + 4 } [/tex]
Now, x is defined when
[tex]\rm \longmapsto\: {y}^{2} + 4 \geqslant 0 \: which \: is \: always \: true \: \forall \: y \in \: real \: number[/tex]
But,
[tex]\rm \longmapsto\:y \geqslant 0[/tex]
Hence,
[tex]\rm\implies \:Range \: of \: function \: = [0, \: \infty )[/tex]
So, we have
[tex]\rm\implies \:Domain \: of \: function : x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )[/tex]
and
[tex]\rm\implies \:Range \: of \: function \: = [0, \: \infty )[/tex]
If it is 7:00 AM at letter F, what time is it at letter A?
5:00 AM
5:00 PM
4:00 AM
4:00 PM
Answer:
The aswer is 1:00 AM to 1:00 PM.
Step-by-step explanation:
please help me solve this thank uuu
Answer:
Same Side Interior Angles
Step-by-step explanation:
Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles
-Chetan K