The rate of discharge is 1,54,550 cubic meter/sec.
This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.
Also we know that 1 foot = 0.305 meter.
The rate of discharge of water is given as 5,500,000 cubic feet per second.
So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.
Now discharge in cubic meter per second = \(5,500,000*(0.305)^{3}\)
= \(5,500,000*0.028\)
= 1,54,550 cubic meter/sec
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I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
mark me brainliest :D
The sum of two numbers is 54. The sum of the smaller and 5 times the larger is 166. Find the numbers.
Answer:
smaller number is 26
larger number is 28
Step-by-step explanation:
This is a system of equations that we can solve by substitution. Let x = the smaller number and y the larger. The two equations are:
x + y = 54
x + 5y = 166
Solve the first equation for y and use that in the second equation.
y = 54 - x (we will plug this in for y in the second equation and solve that for x)
x + 5(54 - x) = 166
x + 270 - 5x = 166
-4x = 166 - 270
-4x = -104
x = 26
Plug this into x + y = 54 and solve for y
26 + y = 54
y = 54 - 26
y = 28
Hi can you help me with this problem?and explain it to me thanks!
-
Euromart Tile Company borrowed $40,000 on April 6 for 66 days. The rate was 14% using the ordinary interest method. On day 25 of the loan, Euromart made a partial payment of $15,000, and on day 45 of the loan, Euromart made a second partial payment of $10,000.
a.
What was the new maturity value of the loan?
b. What was the maturity date of the loan?
Answer:
A. The new maturity value of the loan would be $15,000
B. The maturity data of the loan would be June 20
Step-by-step explanation:
N/A
Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
Answer:
0.5
Step-by-step explanation:
add up the amount of tiles
6+3+3=12
then subtract the green tiles from the total amount
12-6=6
then divide 12/6
=0.5
Answer:
0.5
Step-by-step explanation:
What is
7(2b + 3) - 2b
Pls I need help fast
Answer:
b= = - 7/4 or -1.75
Step-by-step explanation:
14b +21 -2b=0
12b +21=0
12b= -21
b= -21/12
b= - 7/4 or -1.75
Answer:
i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21
Step-by-step explanation:
first, you have to set this question equal to 0.
7(2b+3)-2b=0
now you have to distribute the 7 to everything inside the parentheses.
14b+21-2b=0
combine like terms
12b+21=0
you can stop here and take this answer if this is the one you want
now subtract each side by 21
12b=-21
divide each side by 12
b=-21/12
simplify
b=-7/4
hope this helps! have a nice day :)
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
URGENT !!!!! CAN ANY ONE GIVE 30 POINTS
Answer:
there an app called wolfram that you can use because I don't know how to do that
Which expression can go in the blank to make this equation true
-4.5 + 4.4 + ? = 0
Answer:
+ 0.1
Step-by-step explanation:
So, first, we will add together -4.5 + 4.4, which equals -0.1. Then, we need to add the positive value of that to make it 0, so we add 0.1. I Hope This Helps :)
Simplify the expression.
27 1/3+ 32 1/5
select one:
a. 2
b. square root of 5
c. 1/2
d. 5
e. 4 square root of 3
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
Which expression calculates the time in hours an object takes to travel 38 miles at a speed of 2 m/h ? (I NEED HELP ASAP)
A. 38:2
B. 38/2
C. 38+ 2
Answer:
Option B : 38/2 is the correct answer.
Step-by-step explanation:
Given that:
Distance to travel = 38 miles
Speed of object = 2 miles per hour
Distance = Speed * Time
To find the time, we will divide the distance by speed.
Time = \(\frac{Distance}{Speed}\)
Putting values of distance and speed in the formula.
Time = 38/2
Hence,
Option B : 38/2 is the correct answer.
5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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Taylor can solve riddles very quickly. She solved 11 riddles in 4 minutes. How many did she solve each minute?
Answer:
2 riddles every minute!
Step-by-step explanation:
HELP ALGEBRA 2!
One side of a square is increased by 2 inches, while adjacent side is decreased by 2 inches. The area of the resulting rectangle is 32 square inches. What were the dimensions of the original square?
Answer:
(x+2)(x-2)=32(x+2)(x-2)=32x^2+2x-2x-4=32(x+2)(x-2)=32x^2+2x-2x-4=32x^2-4-32=0(x+2)(x-2)=32x^2+2x-2x-4=32x^2-4-32=0x^2-36=0(x+2)(x-2)=32x^2+2x-2x-4=32x^2-4-32=0x^2-36=0(x+6)(x-6)=0(x+2)(x-2)=32x^2+2x-2x-4=32x^2-4-32=0x^2-36=0(x+6)(x-6)=0x-6=0x=6 the length of the original side of the square.(6+2)(6-2)=32(6+2)(6-2)=328*4=32(6+2)(6-2)=328*4=3232=32You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 years. Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 95% confidence interval. You manage to obtain data on 17 recently resold 5-year-old foreign sedans of the same model. These 17 cars were resold at an average price of $ 12 comma 100 with a standard deviation of $ 800. What is the 95% confidence interval for the true mean resale value of a 5-year-old car of this model?
Answer:
The 95% confidence interval for the true mean resale value of a 5-year-old car of this model
(11,688.68 , 12,511.32)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 17
mean of the sample x⁻ = 12,100
Standard deviation of the sample (S) = 800
The 95% confidence interval for the true mean resale value of a 5-year-old car of this model
\((x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )\)
Step(ii):-
Degrees of freedom ν =n-1 = 17-1 =16
\(t_{(16 , 0.05)} = 2.1199\)
The 95% confidence interval for the true mean resale value of a 5-year-old car of this model
\((x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )\)
\((12,100 - 2.1199\frac{800}{\sqrt{17} } , 12,100 + 2.1199 \frac{800}{\sqrt{17} } )\)
(12,100 - 411.32 , 12,100 + 411.32)
(11,688.68 , 12,511.32)
\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
Please help me with this problem! Picture Included!!
Answer:
y < 1
Step-by-step explanation:
graphing with inequality
Answer:
3/1/2
Step-by-step explanation:
please mark me the brainiest
f(x)=3x-3. find f(4)
Answer:
f(4)=9
Step-by-step explanation:
The given function is
F(x)=3x-3
so,
f(4)=3*4-3
f(4)=12-3
f(4)=9
putting 4 in place of x we get answer of the question.
Find the values of x, y, and z.
Answer:
x = 20°
y = 160°
z = 160°
Step-by-step explanation:
x = 20°
(Measure of arc is equal to the measure of its corresponding central angle)
z = 180° - 20°
(Linear pair angles)
z = 160°
y = z
(Measure of arc is equal to the measure of its corresponding central angle)
y = 160°
A vehicle uses 1 gallons of gasoline to travel 13 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?
You may find the answer to this question in the statement of the problem, if the vehicles uses 1 gallon to travel 13 times, then it is traveling at a rate of 13 miles per gallon.
Look at the figure below: Triangle ABC has the measure of angle ACB equal to 45 degrees. D is a point on side AC. Points B and D are joined by a straight Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB. (10 points)
Here the answer.
I hope it helps you.
And 6. Mary Lu has deposited $1800 divided between two accounts. Bank A pays an interest rate of 3%, and Bank B pays 5% interest. If the total interest earned was $66, how much does she have on deposit in each account? OSY 66 27
Marry put $1200 into a 3% interest paying account.
And she put 600 dollars in a 5% interest account.
What is meant by interest?Interest is computed as a percentage of the principal in its most basic form. For example, if you borrow $100 from a friend and agree to repay it with 5% interest, the amount of interest you would pay would be 5% of $100: $100(0.05) = $5.
The fee for borrowing money or other assets is known as interest. The borrowed sum is referred to as the principle.
Assuming no time constraint, let A= yearly amount invested at 3% and B= annual amount invested at 5%.
1800 is the total amount invested in both accounts.
66 is the total amount of interest earned in both accounts.
Marry wishes to divide the money into two halves.
A+B=1800
Interest earned in both accounts totals 0.03A+0.058=66.
We must now multiply both sides by 100 (3A+5B=6600).
Solving both equations yields A=1200 B=600.
Marry put $1200 into a 3%-interest-paying account.
And she put 600 dollars in a 5% interest account.
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Evaluate the algebraic expression “2a (a – 2b)” when a = 2 and b = -5.
Answer: 48
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
a = 2
b = -5
Given expression
2a (a - 2b)
Substitute values into the expression
=2 (2) ((2) - 2 (-5))
Simplify by multiplication
=4 (2 - (-10))
=4 (2 + 10)
Simplify by addition
=4 (12)
Simplify by multiplication
=\(\boxed{48}\)
Hope this helps!! :)
Please let me know if you have any questions
Chbcjvhchchchcgchchchchcchhchcjv
Answer:
2308.39 m³
Step-by-step explanation:
The formula of volume of sphere
\( = \frac{4}{3} \pi {r}^{3} \)
The volume of the sphere
\( = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} \)
\( = \frac{4}{3} \times 3.14 \times {8.2}^{3} \)
\( = \frac{6925.18208}{3} \)
\( = 2308.394027...\)
= 2308.39 m³ (rounded to the nearest hundredth)
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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hi besties if you are looking for 50+ brainiest bonus points and brainiest answer this question correctly plz
Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)
Step-by-step explanation:
Solve the initial value problem
y′′+3y=0
y(0)=1
y′(0)=1
Answer:
The solution is \(y(t) = \frac{4}{3} - \frac{1}{3} e^{_{-3} t}\\\)
Step-by-step explanation:
The question is:
Solve the initial value problem
y′′+3y'=0
y(0)=1
y′(0)=1
Step-by-step explanation:
First, we will write the characteristic equation, which is
\(x^{2} + 3x = 0\)
Then, we will solve for \(x\)
\(x^{2} + 3x = 0\) becomes
\(x(x+3) = 0\\\)
∴ \(x = 0\) or \(x +3 = 0\)
\(x = 0\) or \(x = -3\)
Hence, \(x_{1} = 0, x_{2} = -3\)
Since the two roots are distinct, that is, \(x_{1} \neq x_{2}\)
The general solution is
\(y(t) = C_{1}e^{x_{1} t} + C_{2}e^{x_{2} t}\\\)
Then,
\(y(t) = C_{1}e^{0 t} + C_{2}e^{-3 t}\)
\(y(t) = C_{1} + C_{2}e^{-3 t}\\\)
Then, for \(y'(t)\)
\(y'(t) = -3C_{2}e^{-3 t}\\\)
Now, from the question
y(0)=1
y′(0)=1
Then,
\(1 = y(0) = C_{1} + C_{2}e^{-3 (0)}\\\)
Then,
\(1 = C_{1} + C_{2}\) ........ (1)
Also,
\(1 = y'(0) = -3C_{2}e^{-3 (0)}\\\)
Then,
\(1 = -3C_{2}e^{-3 (0)}\\\)
\(1 = -3C_{2}\\\) ....... (2)
∴ \(C_{2} = - \frac{1}{3}\)
From equation (1)
\(1 = C_{1} + C_{2}\)
Then,
\(C_{1} = 1 - C_{2}\)
\(C_{1} = 1 - -\frac{1}{3} \\C_{1} = 1 +\frac{1}{3} \\C_{1} = \frac{4}{3}\)
Hence, \(C_{1} = \frac{4}{3}\) and \(C_{2} = - \frac{1}{3}\)
Then, the solution becomes
\(y(t) = \frac{4}{3} - \frac{1}{3} e^{_{-3} t}\\\)