Answer:a) 16 3/4 - 19 4/5 liters/min
b) (16 3/4 - 19 4/5) / 4 liters
c) The level of water will drop.
Step-by-step explanation:
Someone help? The covered word is 'numerator'.
Hello XxItzYourLifexX!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Find the required fraction.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Let's take the fraction as x/y , where x = numerator & y = denominator.
Given,
1st condition :-
[tex] \rightarrow \frac{x + 1}{y - 1} = 1 \: \: \: \: \: \: \: \: \: - - (1) \\ [/tex]
2nd condition :-
[tex] \rightarrow \frac{x}{y + 1} = \frac{1}{2}\: \: \: \: \: \: \: \: \: - - (2) \\ [/tex]
__________________
Now, let's take eq. (2) & find the value of x using cross multiplication.
[tex] \frac{x}{y + 1} = \frac{1}{2} \\ 2x = 1(y + 1) \\ 2x = y + 1 \\ x = \frac{y + 1}{2} [/tex]
We got x as y+1/2. Now, let's substitute this value of x in eq. (1) & solve it using cross multiplication.
[tex] \frac{x + 1}{y - 1} = 1 \\ \frac{ \frac{y + 1}{2} + 1 }{y - 1} = 1 \\ \frac{ \frac{y + 1}{2} + 1}{y - 1} = \frac{1}{1} \\ \frac{y + 1}{2} + 1 = y - 1 \\ \frac{y + 3}{2} = y - 1 \\ y + 3 = 2(y - 1) \\ y + 3 = 2y - 2 \\ y - 2y = - 2 - 3 \\ - y = - 5 \\ \boxed{ y = 5}[/tex]
The value of y is 5. Now, let's find x. (x = y+1/2)
[tex]x = \frac{y + 1}{2} \\ x = \frac{5 + 1}{2} \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]
So, the values of x & y respectively are 3 & 5. Now, the required fraction will come in the form of x/y. So, the fraction is...
[tex] \frac{x}{y} \\ = \large\boxed{\boxed{ \bf\frac{3}{5} }}[/tex]
The correct answer is 3/5 (option b).__________________
Hope it'll help you!
ℓu¢αzz ッ
NO LINKS!!!!!!
Write in graphing form x^2 + 10x + y^2 - 6y = 2
9514 1404 393
Answer:
(x +5)^2 +(y -3)^2 = 36
Step-by-step explanation:
Add the squares of half the linear term coefficients, then rewrite using squares. You get the standard form equation of a circle.
x^2 +10x +y^2 -6y = 2
(x^2 +10x +5^2) +(y^2 -6x +(-3)^2) = 2 +5^2 +(-3)^
(x +5)^2 +(y -3)^2 = 36 . . . . . circle centered at (-5, 3) with radius 6
These numbers are multiples of __________.
4, 8, 16, 24
A) 3
B) 4
C) 5
D) 6
please help ! worth 30 points
Florida Company (FC) and Minnesota Company (MC) are both service companies. Their stock returns for the past three years were as follows: FC: −5 percent, 15 percent, 20 percent; MC: 8 percent, 8 percent, 20 percent. Calculate the mean return for each company.
Using the mean concept, it is found that:
The mean return for Florida Company is 10%.The mean return for Minnesota Company is 12%.The mean of a data-set is given by the sum of all observations divided by the number of observations.
For Florida Company(FC):
3 returns, of -5%, 15% and 20%.Thus, the mean is:
[tex]M = \frac{-5 + 15 + 20}{3} = \frac{30}{3} = 10[/tex]
The mean return for Florida Company is 10%.
For Minnesota Company(MC):
3 returns, of 8%, 8% and 20%.Thus, the mean is:
[tex]M = \frac{8 + 8 + 20}{3} = \frac{36}{3} = 12[/tex]
The mean return for Minnesota Company is 12%.
A similar problem is given at https://brainly.com/question/13451786
Show that the function is always increasing
[tex] \sf{f(x) = log(1 + x) - \dfrac{2x}{x + 2}f(x)=log(1+x)−x+22x}\ \textless \ br /\ \textgreater \ [/tex]
ᑎO Տᑭᗩᗰ ᑭᒪᗴᗩՏᗴ
Answer:
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
☼︎~Given function is[tex]\rm \: f(x) = log(1 + x) - \dfrac{2x}{x + 2}[/tex]
~Let first define the domain of f(x).
[tex]{ \underline { \underline{ {\rule{200cm}{0.4cm}}}}}[/tex]
Now, log(1 + x) is defined when x + 1 > 0☼︎~Now, Consider[tex]\sf \: f(x) = log(1 + x) - \dfrac{2x}{x + 2}[/tex]
☼︎~On differentiating both sidesw. r. t. x, we get
[tex]\rm {\: \longmapsto\dfrac{d}{dx}f(x) =\dfrac{d}{dx}\bigg[ log(1 + x) - \dfrac{2x}{x + 2}}[/tex]
☼︎~We know,[tex]\boxed{\sf{ \longmapsto\dfrac{d}{dx}logx \: = \: \dfrac{1}{x}}}[/tex]
❀And[tex]\boxed{\sf{\longmapsto \dfrac{d}{dx} \dfrac{u}{v} = \dfrac{v\dfrac{d}{dx}u \: - \: u\dfrac{d}{dx}v}{ {v}^{2} } \: }}[/tex]
~So, using these results, we get
[tex]\sf {\:\longmapsto f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)\dfrac{d}{dx}2x - 2x\dfrac{d}{dx}(x + 2)}{ {(x + 2)}^{2} }}[/tex]
☼︎~We know,[tex]\boxed{\rm{\longmapsto \dfrac{d}{dx}x = \sf \pink{ 1 \:} }} [/tex]
And-
[tex]\begin{gathered}\boxed{\sf{\longmapsto\dfrac{d}{dx}k = 0 \: }} \\ \end{gathered}[/tex]
☼︎~So, using this result, we get
[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)2 - 2x(1 + 0)}{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)2(x+2)2−2x(1+0)
[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{(x + 2)2 - 2x(1 + 0)}{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)2(x+2)2−2x(1+0)\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{2x + 4 - 2x}{ {(x + 2)}^{2} }[/tex]
[tex]\rm \: f'(x) = \dfrac{1}{x + 1} - \dfrac{4 }{ {(x + 2)}^{2} }f′(x)=x+11−(x+2)24[/tex]
[tex]\rm \: f'(x) = \dfrac{ {(x + 2)}^{2} - 4(x + 1)}{(x + 1) {(x + 2)}^{2} }[/tex]
[tex]\rm \: f'(x) = \dfrac{ {x}^{2} + 4 + 4x - 4x - 4}{(x + 1) {(x + 2)}^{2} }[/tex]
[tex]\rm \: f'(x) = \dfrac{ {x}^{2} }{(x + 1) {(x + 2)}^{2} }[/tex]
☼︎~Now, as[tex]\longmapsto\rm {\: {x}^{2} \geqslant 0x2⩾0}[/tex]
[tex]\longmapsto\sf\:{(x+2)}^{2} > 0[/tex]
[tex]\longmapsto\sf\: x + 1 > 0x+1>0[/tex]
☼︎~So,[tex]\sf\longmapsto \:\rm \: f'(x) = \dfrac{ {x}^{2} }{(x + 1) {(x + 2)}^{2} } \geqslant 0[/tex]
☼︎~Therefore, f'(x) is always increasing when x > - 1[tex]{ \underline { \underline{ \bold {\rule{200cm}{0.4cm}}}}}[/tex]
Additional Information:-[tex]\boxed{\begin{array}{c|c} \bf f(x) & \tt \dfrac{d}{dx}f(x) \\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf k & \sf 0 \\ \\ \sf sinx & \sf cosx \\ \\ \sf cosx & \sf - \: sinx \\ \\ \sf tanx & \sf {sec}^{2}x \\ \\ \sf cotx & \sf - {cosec}^{2}x \\ \\ \sf secx & \sf secx \: tanx\\ \\ \sf cosecx & \sf - \: cosecx \: cotx\\ \\ \sf \sqrt{x} & \sf \dfrac{1}{2 \sqrt{x} } \\ \\ \sf logx & \sf \dfrac{1}{x}\\ \\ \sf {e}^{x} & \sf {e}^{x} \end{array}}[/tex]
[tex]{ \underline { \underline{ \bold {\rule{200cm}{0.3cm}}}}}[/tex]
I NEED HELP PLS...ASAP
Which equation represents this sentence?
3 times the difference of 6 and a number is equal to 15
3x−6=15
3(6−x)=15
6−3x=15
3(x−6)=15
Answer:
3(6-x)=15
Step-by-step explanation:
May i have some help please?
Answer:
a+b=5/2a, a+b=5/3b
Step-by-step explanation:
1.2a=0.8b
6/5a=4/5b
6a=4b
b=3/2a, a=2/3b
a+b=3/2a+a
a+b=5/2a
a+b=2/3b+b=5/3b
the volume of a rectangular prism is 160 cubic meters the length is 8 meters and the width is 5 meters what is the height?
Answer:
8*5=40
160/40=4
to recheck
V= LxWxH
V=8*5*4
V=160
Step-by-step explanation:
GOOD LUCK
a seed spouted and grew 2/3 of a foot in 3 months. what was its rate of growth
Answer:
0.2222 of growth in a month
Step-by-step explanation:
2/3feet / 3 months
Answer:
The rate of growth of sprout seed in 3 months is 1.14%
Step-by-step explanation:
Given as:
The length of seed sprout grew = foot
The time period for sprout grew = 3 month
Let The rate of sprout grew = r%
Let The initial length of seed = l foot
So, The length of seed sprout grew after 3 months = × l foot
Now, According to question
The length of seed sprout grew after n months =
Or , × l =
Or, =
Or, 1 + =
Or, = 1.14
∴ r = 1.14 ×100 = 114
So, The rate of growth = r = 1.14 %
Hence The rate of growth of sprout seed in 3 months is 1.14%
triangle angle- sum theorem
help!!!
9514 1404 393
Answer:
s = 2°
Step-by-step explanation:
The triangle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to write an equation that can be solved for s.
s +38° +34s +72° = 180°
35s = 70° . . . . . . . . . . . . . subtract 110°
s = 2° . . . . . . . . . . . . . divide by 35
_____
Check
The triangle angle measures are (s+38°) = 40°, 34s = 68°, and 72°. These total 180°, as they should.
The function f is one-to-one. Find its inverse. F(x) = 2/x+5
The point (3, 6/5) lies on the graph reprrsenting a proportional relatiomship which of the folowimg point also lie on the graph
Answer:
A=0.4
B=0.4
D=0.4
Because they are all the same
Step-by-step explanation:
which is the better by 8-foot of cord for $2.80or 9-foot piece of cord for $2.88
Answer:
9-foot piece is better deal by $0.03 per foot
Step-by-step explanation:
2.80/8 = $0.35 per foot (for 8-foot piece)
2.88/9 = $0.32 per foot (for 9-foot piece)
Answer:
9 foot peice of cord
Step-by-step explanation:
A half-marathon is 13.1 miles long. There is a water station every 1 11/20 miles along the race trail. Which expression represents the total number of water stations?
A) 13.1 - 1 11/120
B) 13.1 + 1 11/120
C) 13.1 (1 11/120)
D) 13.1 ÷ 1 11/120
Answer:
The answer is D
Please help me!!!!! Show your work 45-45-90 method <3
Answer:
hope it helps and u understand
check the steps in picture attached
10 is 20% of what i can't figure this out
Answer:
50
Step-by-step explanation:
if the given amount (20%) is 10 then to find the whole :
multiply 10 with 100 and then divide the result with 20
10*100/20 = 50
15 laps in 3 days = laps per day
Answer: The answer is 5 laps per day
Step-by-step explanation: Just do 15 divided by 3 because if they are asking for laps per day and there are 15 laps in 3 days. You just divide 15 days by 3 days to get how many laps are in per day. And you'll get 5.
I need to convert this equation from vertex into standard form.
x^2 = 44(y-12)
I don’t understand the whole leading coefficient thing.
Answer:
If you want to solve x it will be 11
If you want to solve y it will be y
=
x
2
44
+
12
Step-by-step explanation:
54,392 rounded to the tens place
Answer:
54,390
Step-by-step explanation:
Answer:
54, 390
Step-by-step explanation:
What is 54,392 close to? 90 or 100? (In this case, 54,300)
92 is closer to 90.I hope this helped at all.
You move right 1 unit and left 7 units. You end at (-5, -1). Where did you start?
Answer:
you started at (-5, 4)
Step-by-step explanation:
do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.
In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the slope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."
(I saw the image on another question you had asked. Have a nice day!)
Math look at picture
27 because adding then divideing
7 pounds of organic cheese costs $40.60. What is the constant of proportionality that relates y the cost of pounds of
organic cheese
5.80
7.15
5.98
40.60
Answer:
5.80
Step-by-step explanation:
it is
40.60/7=5.80
Answer:
5.8
Step-by-step explanation:
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required?
Show your work please I don't understand this
Given that,
\hat p= 0.5 ( assume 0.5)
1 - \hat p = 1 - 0.5= 0.5
margin of error = E = 4% = 0.04
At 95% confidence level the z is ,
\alpha = 1 - 95% = 1 - 0.95 = 0.05
\alpha / 2 = 0.05 / 2 = 0.025
Z\alpha/2 = Z0.025 = 1.960 ( Using z table )
Sample size = n = (Z\alpha/2 / E)2 * \hat p * (1 - \hat p )
= (1.960 / 0.04)2 * 0.5 * 0.5
= 600.25
Sample size =601
Line x and line z are straight lines.
Lines x, z, and y intersect to form 5 angles. From top left, clockwise, the angles are: a: right angle, b, c, d, e.
Which pair of angles are vertical?
Angle a and Angle d
Angle b and Angle d
Angle a and Angle b
Angle c and Angle e
78 points if you answer
Answer:
it is C and E
hope it helps
Answer:
Thepersin above me is correct
Step-by-step explanation:
*WILL GIVE BRAINLIEST*
Subtract. Write your answer in scientific notation.
(9.04×109)–(5.86×109)
Answer:
Step-by-step explanation:
346.62
Answer:
3.4662 times 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
In a box there are 6 orange balls, 4 green balls and blue "x" balls. If the probability of drawing one blue ball is 1/3, what is the probability of drawing two blue bags?
Answer:
well you could write this as
1) 0.5/3
2) 1/6
so yeah.
if its 1/3 to get one blue ball, for two you would divide the numerator in half so you'd get 0.5/3
Step-by-step explanation:
Which three test points could be used to draw the graph of the solutions to
x2 + 6x-5> 0?
O A. -3- »14. - 3+ w74, 1
O B. -7,0,1
O C. -6,0,1
O D. -3- 14,0, -3+wV14
Answer:
(-3,-14); (-3+[tex]\sqrt{14}[/tex],0); (-3-[tex]\sqrt{14}[/tex], 0); (0,-5)
Step-by-step explanation:
how do you write 7% in the most simple fraction
Need help Solve: 4ln(3x) = 20
Answer:
e5/3
Step-by-step explanation:
