Answer:
1713 milliliters
Step-by-step explanation:
1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.
2000 mL - 287 mL = 1713 mL
So 1713 mL are left.
A 25,000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it to take to fill the pool?
Answer: 50 hours
Step-by-step explanation:
Given
The volume of a swimming pool is [tex]25,000[/tex] gallon
It takes 30 minutes to fill [tex]250\ \text{gallons}[/tex]
Using Unitary method
[tex]\Rightarrow 250\ \text{gallon takes}\rightarrow 30\ \text{minutes}\\\Rightarrow 1\ \text{gallon takes}\rightarrow \dfrac{30}{250}\\\\\Rightarrow 25,000\ \text{gallon}\rightarrow \dfrac{30}{250}\times 25,000=3000\ \text{minutes or 50 hours}[/tex]
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Analyze: 30 + 11 when c=4
Answer:
23
Step-by-step explanation:
3c + 11
3(4) + 11
12 + 11
23
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 8 hours, to the nearest whole number?
Answer:
593
Step-by-step explanation:
[tex]490(2)^8^/^2^9 = 593.25[/tex]
593.25 ≈ 593
The number of bacteria after 8 hours is 593.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Number of bacteria placed in petri dish = 490
Time required for bacteria to double = 29 hours
Number of bacteria after 8 hours is
⇒ [tex]490(2)^{\frac{8}{29} }[/tex]
⇒ [tex]490(2)^{0.2758}[/tex]
⇒ [tex]490(1.2107)[/tex]
⇒ [tex]593.25149[/tex]
⇒ [tex]593[/tex]
Hence we can conclude that the number of bacteria after 8 hours is 593.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
what is the answer to 7(2x + 9)
Answer:
14x + 63
Step-by-step explanation:
[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]
Hope this helps.
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answer: I dont know AZ
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
The local movie theater charges $13 for adult tickets and $7 for children’s tickets. Yesterday they sold 115 tickets and made $943. How many adult and children tickets did they sell?
Answer:
i need more info
Step-by-step explanation:
Please look at the picture and answer my question I need help!
Answer:
64oz=4lb
Step-by-step explanation:
When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.
To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.
64/16=4
64oz=4lb
happy april fools day you nerds now take my points
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
100 POINTS! PLEASE HELP!!
Hey y'all! I haven't gotten a correct answer/explanation for this question and I struggling so if someone could help, I'd really appreciate it! :)
Suppose RT= 16 in. and ST= 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Step-by-step explanation:
yes it possible to find the length of tu
6/7x21 please help i need this to finish early
Answer:
6/7 x 21 = 18
Answer:
the answer is 18 hope this helped :)))
How many solutions does the system of equations 5x−4y=8 and 5x−4y=2 have?
A)no solutions
B)1 solution
C)2 solutions
D)an infinite number of solutions
Answer:
1 solution. y= 5/4x - 1/2
The equation shown has an unknown number ⍰÷3/4=4/9
Answer:
9
Step-by-step explanation:
Which expressions are equivalent to this exponential expression?
6-10
6-4
06-6
0 66
0
1
0
O
1
36
Answer:
6*6=36
Step-by-step explanation:
6*6. 6 with exponent of 2=36
QUESTION 6 / 10
Which of the following is not a source of income?
A. Your monthly student loan payment.
B. The stipend you receive for doing an internship.
C. Your annual salary for doing your job.
D. The wages you receive after a work shift.
Answer:
b. The stipend you receive.
Step-by-step explanation:
It would say paid intern if they were paid.
Find the values of x and y that make these triangles congruent by the HL Theorem
Answer:
number 3
because because because because because because because because because
Step-by-step explanation:
because because because because
Find the apothem or height of the triangle. Round your answer at the end to the nearest tenth.
Answer:22.4
Step-by-step explanation:
Yea I'm bad at explaining
How many real fifth roots does -0.00243 have?
Answer:
I get 3 so i don't know
Step-by-step explanation:
What is the expression and value of "six less than nine times the sum of a number and eight" when n = 5? 9 (n + 8) minus 6; when n = 5, the value is 111. 6 minus 9 (n + 8); when n = 5, the value is 111. 9 (n) + 8 minus 6; when n = 5, the value is 47. 6 minus 9 (n) + 8; when n = 5, the value is 47.
Answer:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A plz mark me brainlest
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Step-by-step explanation:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Answer:
it A
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Which frequency table shows the test times in minutes) for a reading test?
81, 63, 61, 58, 72, 70, 79, 68, 82, 64, 54, 82, 72, 63, 64, 76, 57, 65, 73, 58
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
Chloe purchased a sweater that cost $24 and a shirt cost 5-8 times as much as the sweater what amount of change did she receive from clerk $50
Answer:
The answer is "$11".
Step-by-step explanation:
Chloe bought a pull, which costs [tex]\$24[/tex], and a shirt which costs [tex]\frac{5}{8}[/tex] times as much as the pullout.
Sweater cost = [tex]\$24[/tex]
Shirt cost [tex]= \frac{5}{8} \times 24=15[/tex]
Therefore, total shirt and sweater costs[tex]= 24+15=39[/tex].
Then she gave [tex]\$ 50[/tex] to her officer.
Thus, she got changes [tex]= 50-39=11[/tex]
therefore, Chloe received a change of 11 dollars if she gave her employer [tex]\$50[/tex].
Which of the following correctly completes the square for: x^2+2x=48
A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
Answer:
hey I'm pretty sure it's B. (x+2)²=49
Step-by-step explanation:
x²+2x+(2\2)²=48 + (2\2)²
(x+1)²=49
2 over 2 by the power of 2 = 1
Is parallelogram BCDE a rectangle?
Leslie invest 42,000 into an account that pays 7%compounded weekly. How much is the account worth after 5 years?
Answer:
$41,998.58
Step-by-step explanation:
The computation of the account worth after 5 years is shown below:
As we know that
Future value = Present value ×(1+ rate of interest)^number of years
= 42,000 × (1 + 0.07 ÷ 52)^5× 52
= 42,000 × (1 + 0.0013461)^260
= $41,998.58
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.