Answer:
x = ± 5
Step-by-step explanation:
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
That is x = - 5, x = 5
a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?
Answer:
0.026 m / min.
Step-by-step explanation:
Volume V = π7^2h
V = 49πh
dV/dh = 49π
Rate that the volume is increasing is 4 m3/min.
So dV/dt = 4
dV/dt = dh/dt * dV/dh
4 = dh/dt * 49π
dh/dt = 4/49π
= 0.026 m / min.
The required height of the water increase is given as 0.026 m/min.
Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π - - - - - - - (1)
Rate of the filling the tank is given,
V/t = 4
V = 4t
Substitute this in equation 1
4t / h = 49π
h / t = 0.026 m/s.
Thus, the required height of the water increase is given as 0.026 m/min.
Learn more about Volume here:
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what is 2(x+3)=x-4 please answer ASAP
Answer:
-10
Step-by-step explanation:
2x+6 = x-4
2x = x - 4 - 6
2x = x -10
2x -x = x-x - 10
x = -10
Please mark my answer as brainest
Reflect the point over the y axis. (8, -3)
Answer:
-8, 3
Step-by-step explanation:
Reflections formula
Y-axis (-x, y)
X-axis (x, -y)
Answer:
https://scratch.mit.edu/projects/580972810/
Step-by-step explanation:
This website is a link to a Scratch project. It's mine.
I made this because I couldn't do it on Brainly.
This is NOT a scam. I promise.
It will have a tiny purple ball which is the oringinal, and a green one which is the reflected.
What is tthe distance between points 11,3 and 4,3 on a coordante plane
Answer:
7 units
Step-by-step explanation:
ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.
Answer:
56is shjdns djdndjsndnskdvdjdnshdkd
Find two consecutive integers such that the second is 13 less than twice the first.
Answer:14,15
Step-by-step explanation:
X first x+1 second
X+1=2x-13
-×+1.=-×-13
1=×-13
+13=×+13
14=×
Use the distributive property to write an expression that is equivalent to 8(7+ X).
56+ 8x
8+ 7x
56+ x
7 + X= 1/8
Answer:
56 + 8x
Step-by-step explanation:
8(7) + 8(x)
= 56 + 8x
4. 18 is 80% of what?
A. 20
B. 22.5
C. 14.4
D. 9
Answer:
22.5 (B)
Step-by-step explanation:
A local business rents computer time for a $5 setup charge and $0.30 per minute the computer is used
Write an equation to represent the cost of using the computer for a given amount of
Us
time in minutes. Define your variables.
How much does 30 minutes of computer time cost?
Answer:
[tex]c = 0.3m + 5[/tex]
define the variables:
c is the cost and m is minutes
It costs $14
Step-by-step explanation:
[tex]c = 0.3m + 5[/tex]
To solve for cost substitute 30 in for m
[tex]c = 0.3(30) + 5[/tex]
multiply
[tex]c = 9 + 5[/tex]
add
[tex]c = 14[/tex]
please help me
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[tex]\\ \sf\longmapsto a+\dfrac{1}{a}=\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto \left(a+\dfrac{1}{a}\right)^3=\sqrt{3}^3[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+\dfrac{3a^2}{a}+\dfrac{3a}{a^2}=3\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+3a+\dfrac{3}{a}=3\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\sqrt{3}-3a-\dfrac{3}{a}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\left(\sqrt{3}-a-\dfrac{1}{a}\right)[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3(0)[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=0[/tex]
ProvedAnswer:
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing 12$ is displayed by the store manager at a selling price of 8$. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
please help me in really stuck you would be a huge help
Answer:
Step-by-step explanation:
12$ = original price (need to add 67% mark up)
12/100 = 0.12 = 1%
0.12 x 67 = $8.04 markup
12 + 8.04 = $20.04 is the correct selling price
the error was accidently not adding the markup ($8.04) to the original price
You are asked to create a solution that is 3 parts water and 2 parts bleach. You have 4 liters of bleach. How much water should you add?
Step-by-step explanation:
If this is 3L water : 2L bleach then this following measures and answers are the answer.
3L:2L
?L:4L
4L/2L= 2L
so therefore
3L* 2L = 6L
so
6L water : 4L bleach
6L water
*20 points* 7x + 24 = 2x - 6 How many solutions?
Answer:
x= -6
Step-by-step explanation:
so i'm thinking 1 solution.
(let me know if i'm wrong)
Answer:
infinitely many solutions.
Step-by-step explanation:
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has
a. Describe the three ways in which two lines may be related
a. Which of the following is the correct way to relate two lines? Select all that apply.
A. congruent
B. skew
C. parallel
D. intersecting
E. collinear
30 fortyths into a decimal
Answer:
0.3
Step-by-step explanation:
Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.
Hope this helps :)
pls give brainliest :p
And let me know what you think of my pfp :0
subtract 8 from 5 times g
Answer:
5g-8
Step-by-step explanation:
i don't know
have a great day
I NEED THIS ASAP!!!!!
1/2x*x*x*1/2x=360
Solve for x
Answer:
X to the 4th power = 1440
Step-by-step explanation:
It took Valerie 80 minutes to drive 120 miles. Which of the following unit rates expresses how fast Valerie was traveling?
60 miles per hour 70 miles per hour
80 miles per hour 90 miles per hour
Answer:
90 miles per hour
Step-by-step explanation:
Divide distance by time to get speed.
[tex]\frac{120}{80}[/tex]=1.5 miles per minute
60 minutes in an hour
1.5(60)=90 miles an hour
At a farm the ratio of cows to horses was 9 : 8 .If there were 45 cows at the farm,how many horses were there?
Answer:
40
Step-by-step explanation:
there are 9 cow for ever 8 horses
45 is 5 sets of 9 (45/5 = 9)
so to make this ratio equal you have to multiply the amount of horses by 5 too
8*5=40
40 horses
or
Adam is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry Hound dog food each day. Adam wants to know how many days he can feed Pickles from a 15-cup bag of Hungry Hound.
Which equation can Adam use to find the number of days d he can feed Pickles from the bag?
Solve this equation for d to find the number of days Adam can feed Pickles.
Which benchmark fraction is 6/7 closest to PLZ HELP
equivalent to the complex number i^14
Answer: The powers of i have a repetitive cyclic nature.
When we raise the imagenry unit i to increasing powers, we get a pattern which repeats itself.
Observe the following table of powers of i.
Power of i i1 i2 i3 i4 i5 i6 i7 i8 i9
Simplified i -1 -i 1 i -1 -i 1 i
As you see above, the pattern repeats itself and is four members long.
Therefore, ix+8 ix+4 will equalx.
When asked to determine the value of i to a power higher than 4, we can use this information in order to find our position in the cycle.
So, instead of using the actual power, we can take the remainder of the power divided by 4.
The mass of the sun is about 1.98x10^30 kg. The mass of the Earth is about 5.97x10^24 kg. Estimate how many times bigger the mass of the sun than the mass of earth. Round to the NEAREST TENTH!
Answer:
About 333000 times
Step-by-step explanation:
Michelle has four credit cards with the balances and interest rates listed below. Rather than budget to pay each of the credit cards off in 36 months, Michelle would like to pay them off one at a time based on the balance for each credit card. In which order should Michelle pay off her credit cards?
Credit Card
Balance
APR
#1
$4,380
17%
#2
$1,365
19%
#3
$2,480
23%
#4
$5,000
15%
a.
1,2,3,4
b.
4,1,3,2
c.
4,3,1,2
d.
1,3,2,4
Answer:
B) 4,1,3,2
Explanation:
Michele's credit cards have the following balances and APR
Credit Card Balance APR
#1 $4,380 17%
#2 $1,365 19%
#3 $2,480 23%
#4 $5,000 15%
If she wants to start paying them off one at a time depending on their balance, she could start by paying the credit card with the highest balance, then continue with the second highest balance and so on. She would pay first her credit card #4, then #1, #3 and finally #2.
Answer:
b.4,1,3,2
Step-by-step explanation:
edge 22'
a square's area is 3 times its perimeter. Find the dimensions of the square.
can someone help me with this question
Answer:
The answer is D, because once you use SADMEP to reduce and reverse the sign for a negative, you get that anwer.
Step-by-step explanation:
MARK BRAINLIEST PLEASE!
how much would I make per year if I get 10 dollars every 2 weeks ?
Answer:
$20,960
Step-by-step explanation:
brainliest?
every 14 days you get payed only 10 dollars?
id say less then 1000
The cost of a long distance call is $1.25 for the
first three minutes and $.15 for each additional
minute.
1. Which of the following equations gives the total
cost of a phone call, y, in terms of the total number
of minutes, x?
(A) y = 0.15x +1.25
(B) y=1.25.r+0.15
(C) y = 0.15(x-3)+1.25
(D) y =1.25(x-3)+0.15
(E) y = 0.15r+(3–1.25)
2. Walter bought a 21-pound bag of flour. He used 4.2 pounds of the flour.
He stored the rest of the flour in 2 2/5-pound portions. What is the number
of 2 2/5-pound portions he stored?
help me answer these pls!!
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