A water tank initially contained 55 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many liters of water are in the tank after 2 minutes? Round answers to the nearest whole liter.
Answers
Answer:
50 liters
Step-by-step explanation:
2.5 liters drained per minute x 2 minutes = 5 liters drained total
(2.5 x 2 = 5)
55 liters at the start - the 5 liters drained = 50 liters remaining
(55 - 5)
whole equation would be
55 - (2.5 x 2) = 50
Related Questions
need help real baddddddddddddd
Answers
Answer:
x≥2 and x<2 : ∅
x≥2 or x<2 : All real numbers
x≤2 and x≥2 : 2
Step-by-step explanation:
the first one must follow both conditions, so no number would work.
the second one works with any number, so all real numbers.
the third one has only one condition that works, 2
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
Answers
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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a rectangle is bounded by the x-axis and the semicircle
Answers
a rectangle is bounded by the x-axis and the semicircle
y = 36 − x 2
To make a solution for an experiment, Gunther needs to add 40 g of a solute to 100 g of water. When making the
solution at room temperature, he could only add 34 grams before the solute settled out.
What could he do to dissolve the remaining 6 grams of the solute?
Put the solution in an ice bath, dissolve the solute, and let the solution return to room temperature.
O Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled out.
O Add more water, boil the solution, and dissolve the solute until the some of the water evaporates.
O Keep the solution at room temperature, add more water, and dissolve the excess solute.
Answers
Answer:
Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled....(B)
Step-by-step explanation:
hope this helps
Gunther could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
Solubility of a substance refers to the amount of the substance that dissolves in a given amount of water. The most important factor that affects solubility is the temperature of the system. When the temperature is increased, more solute can be dissolved in the solvent.
Since Gunther needs to add 40 g of a solute to 100 g of water but only 34 grams were added before the solute settled out at room temperature. He could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
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Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
Answers
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
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given vector u equals open angled bracket negative 10 comma negative 3 close angled bracket and vector v equals open angled bracket 4 comma 8 close angled bracket comma what is projvu? open angled bracket negative 640 over 109 comma negative 192 over 169 close angled bracket open angled bracket negative 256 over 109 comma negative 512 over 109 close angled bracket open angled bracket negative 8 comma negative 3 close angled bracket open angled bracket negative 16 over 5 comma negative 32 over 5 close angled bracket
Answers
The correct answer is open angled bracket negative 16 over 5 comma negative 32 over 5 close angled bracket, as it is the vector u.
The projection of vector u onto vector v is given by the formula:
projv(u) = (u . v/||v||^2) * v
where u . v is the dot product of vectors u and v,and ||v|| is the magnitude of vector v
Given that u = <-10, -3> and v = <4, 8>, we can substitute these values into the formula and find projv(u)
projv(u) = ( (-10)(4) + (-3)(8) )/ (4^2 + 8^2) * <4,8>
projv(u) = ((-40 - 24)/ (16 + 64))* <4,8>
projv(u) = (-64/80) * <4,8>
projv(u) = (-4/5) * <4,8>
projv(u) = <-16/5,-32/5>
The vector u is already parallel to the vector v, that's why the projection of vector u on vector v is equal to vector u itself.
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what is the square root of 98/2
Answers
Answer:
7
Step-by-step explanation:
\( \sqrt{ \frac{98}{2} } = \sqrt{49 } = 7\)
I hope it helped you
Help me with this math problem please!!
C. State the domain and range: Use the grid to draw the graph and verify your answer. Be sure to label the scales on your axes to accommodate the numbers in the problem. (You may not use a computer program to draw the graphs for you. The goal is to understand how to select points to draw a graph.)
5. y = x2 + 86
6. y = 2x3 + 8
7. y = 40 - 8x2
Answers
Answer:
see below
Step-by-step explanation:
5. Domain: x belongs to all real numbers from negative infinity to positive infinity. The range is y \(\geq\) 86
6. domain: x belongs to all real numbers from negative infinity to positive infinity. The range: y belongs to all real numbers from negative infinity to positive infinity.
7. Domain: x belongs to all real numbers from negative infinity to positive infinity. The range is y \(\leq\) 40
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
\(\pi\)
Step-by-step explanation:
Area = \(\pi x^{2}\) For a full circle. This is 1/4 of a circle
A= \(\frac{\pi 2^{2} }{4}\) = \(\frac{\pi 4}{4}\) = \(\pi\)
Answer : The area of the shape is, 111.02 units 2
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answers
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
* 1 6 8 9 A camera has a listed price of $803.95 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales tax included, Round your answer to the nearest cent, as necessary $870.27
Answers
Answer:
$872.29
Step-by-step explanation:
to do a 8.25 percent sales tax you do $803.95*1.085 and you get the above number
Question 1
Christi alters a skirt. She cuts 7 inches off the bottom of the skirt and then adds a 5-
inch ruffle to the skirt's remaining bottom edge. Which expression best represents the
final length of the skirt?
Os-12
O2+s
02-s
1 pts
OS-2
Answers
Step-by-step explanation:
Let's call the original length of the skirt "l". After cutting 7 inches off the bottom, the remaining length of the skirt is l-7. Then, when Christi adds a 5-inch ruffle, the final length of the skirt becomes:
(l-7) + 5
Simplifying this expression, we get:
l - 2
Therefore, the expression that best represents the final length of the skirt is:
O2 - s
The diagram below shows the layout of an enclosure for horses. In the diagram, every 4 centimeters represents 7 meters of the actual enclosure. To the nearest whole number what is the area of the enclosure?
Answers
Answer:
dont really kno buddy sorry if im not helping you buddy
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Answers
= 173.903t
Step-by-step Explanation:
The given equation is: f(t) = 227e^(b*t)
To convert it to the form f(t) = ab, we need to write it in the form of f(t) = a * e^(k*t), where a and k are constants.
Let's start by taking the natural logarithm (ln) of both sides:
ln(f(t)) = ln(227e^(b*t))
Using the properties of logarithms, we can simplify this to:
ln(f(t)) = ln(227) + ln(e^(b*t))
ln(f(t)) = ln(227) + b*t
Now, let's define a new constant, k = b, and rewrite the equation in terms of a and k:
ln(f(t)) = ln(a) + k*t
where a = 227 and k = -0.09
Taking the exponential of both sides, we get:
f(t) = e^(ln(a) + k*t)
f(t) = e^(ln(a)) * e^(k*t)
f(t) = a * e^(k*t)
Substituting the values of a and k, we get:
f(t) = 227 * e^(-0.09*t)
Therefore, the equation f(t) = ab is:
f(t) = 227e^(-0.09t) ≈ 173.903t (rounded to three decimal places)
Which is the sum of 8 3/4 +2 1/2?
O A. 11 1/6
B. 11 1/4
O C. 10 1/2
O D. 10 1/4
please help fast
Answers
Answer:
B. 11 1/4
Step-by-step explanation:
8 3/4 + 2 2/4 = 11 1/4
We want to sum two mixed numbers.
The correct option is D: 11 1/4
A mixed number is a number that is separated into a whole part and a rational part.
Here we want to sum:
(8 3/4) + (2 1/2)
This can be written as:
8 + 3/4 + 2 + 1/2
Now we group the whole numbers and we group the rational numbers:
8 + 3/4 + 2 + 1/2 = (8 + 2) + (3/4 + 1/2) = 10 + (3/4 + 1/2).
To perform the sum of the rational numbers, we can write:
1/2 = 2/4
Then we have:
10 + (3/4 + 1/2) = 10 + (3/4 + 2/4) = 10 + 5/4 = 10 + 4/4 + 1/4 = 11 + 1/4
Then we can see that the correct option is D.
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How many solutions are there to the equation below?|x| = -4
A 0
B 2
C 4
D 1
Answers
Answer:
There are 0
Step-by-step explanation:
Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true
Answer:
A 0
Step-by-step explanation:
There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.
If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.
Evaluate: (9 - 3)2 + 5 = 1 3
Answers
Answer:
17 ≠ 13
Step-by-step explanation:
(9 - 3)2 + 5 = 13 PEMDAS
(6)2 + 5 = 13
12 + 5 = 13
17 = 13
help me on this i will give brainliest to the first answer
Answers
Answer:
I would say try D and then try A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the inverse of x/4 ?
ill give brainlist thingy lol
Answers
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
Can somebody help ill give you brainliest!!! and 20 points
Answers
Answer:
Genotype: 100% rr
phenotype: 100% white
Step-by-step explanation:
since there are no dominant genes the cross will definitely be a rr genotype
Does anyone know if the further maths gcse will be at July or June
Answers
Answer:
I think june at the earliest
Answer:
Ya and you have 2 tests i think
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
Answers
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
\(\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573\)
Hence,the total amount of return will be 5611.8573.
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QUESTION:-↓
The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.
no spam!
Answers
Given dimensions of the room:
Length: \(\displaystyle\sf 12.5 \,m\)
Width: \(\displaystyle\sf 9 \,m\)
Height: \(\displaystyle\sf 7 \,m\)
Area of each wall:
\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)
\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)
Area of each door:
\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)
Area of each window:
\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)
Total area occupied by doors:
\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)
Total area occupied by windows:
\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)
Total wall area excluding doors and windows:
\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)
\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)
\(\displaystyle\sf = 275 - 6 - 6\)
\(\displaystyle\sf = 263 \,m^2\)
Cost of painting the walls:
\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)
\(\displaystyle\sf = 263 \times 3.50\)
\(\displaystyle\sf = 920.50 \,Rs\)
Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
I would really appreciate some help.
Answers
then just minus that by 1 and divide it by 3. if it’s divisible then it’s a multiple of 3.
What is the mean for the set of data? Pls help i will give brainliest
Answers
Answer:
3.3
Step-by-step explanation:
all the numbers add up to 33
and there is 10 numbers so divide 33 by 10 and you get 3.3
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
Answers
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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What is the common difference for this arithmetic sequence?
-6, -1, 4, 9, 14,
Answers
Answer: +5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
ONCE I HIT 30 ILL GIVE YOU 100 Points if i get a good grade Maybe even more
Answers
Answer:
The correct anwser is 2x+5<4
Step-by-step explanation:
Need help on this question pls help!!!!!!!
Answers
Explanation for mean:
There are 15 dots total throughout 5 lines. 15/5=3. For the mean you add up the total number of dots and divide it by the amount of categories.