Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
Will give brainliest to whoever solves Calculate
Answer:
1. 2
2. 1
Step-by-step explanation:
All work is attached!
please mark brainliest!
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
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What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!
Answer:
180
Step-by-step explanation:
its 180 cos its the closest number to 193 that 18 can go in, your overall answer to the equation is 310 remainder 13. But I dont know if u need that..
what is the value of x ?
Answer:
Should be 33 degrees if it is congruen.
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
124 + 33 = 157
180 - 157 = 23
Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7
Answer:
8 times a number plus 7
Step-by-step explanation:
F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
Which operations are commutative and associative?
Answer:
Step-by-step explanation:
if there are two numbers a and b.then
1. a+b=b+a ,commutative under addition.
2. ab=ba,commutative under multiplication.
If there are three numbers a,b,c then
1. a+(b+c)=(a+b)+c,associative under addition.
2.
a×(b×c)=(a×b)×c ,associative under multiplication.
Answer: Addition and multiplication :)
The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.
Answer:
2
Step-by-step explanation:
Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.
A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?
Answer:
39.59
Step-by-step explanation:
A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar graph:
Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.
Answer:
There are twice as many people who purchased a red car than a black car.
What is a constant of proportionality in the equation 3y equals 2x?
Answer:
y=2/3x (y equals two-thirds x)
Step-by-step explanation:
3y=2x
(divide by 3 on both sides to get just the y value)
3/3y=2/3x
y=2/3x
You have 9 identical balls, one of which is heavier than the rest. What is the smallest number of times you need to weigh the balls to know which one is the heavier one?
You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.
If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
1. For each event state whether you think it is impossible,
very unlikely, unlikely, evens, likely, very likely or
certain.
a) Pick a club card from an ordinary pack of cards
b) Pick the ace of spades from an ordinary pack of cards
c) Tossing a coin and it landing on heads
d) I roll a dice and get a 7
e) Somebody you know is left handed
2. Give two examples of events with the following
probabilities.
a) Impossible
b) Unlikely
c) Certain
d) Likely
e) Very likely
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
16 units
Answer:
the answer is b, 4 units
Answer:
4
Step-by-step explanation:
quatro
Which is the solution to the following system?
y=3x+1
6x-2y=4
Answer:
x=-7/3 and y=-6
Step-by-step explanation:
6x-3(3x+1)=4
6x-9x-3=4
-3x-3=4
-3x=7
x=-7/3
y=3(-7/3)+1
y=-6
Find the volume of this solid
Answer:
[tex]997.66ft^3[/tex]
Step-by-step explanation:
[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]
Which equation represents h(x)?
Answer: The second choice: h(x) = (f(x))(g(x))
Step-by-step explanation:
f(x) = -15
g(x) = 15
h(x) = -225
-15 * 15 = -225
Therefore, h(x) is the distribution of f(x) and g(x).
You should draw a line of best fit for a scatter plot if there is no correlation among the data points. True False
Answer:
False
Step-by-step explanation:
N/A
Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points
Answer:
f1: 0.440, f2: 0.931, f3: 1.519
Step-by-step explanation:
To solve the system of equations we need to use the inverse of matrix A, as follows:
A x F = C
A^-1 x A x F = A^-1 x C
I x F = A^-1 x C
where I is the identity matrix.
The inverse of A is:
1.450 -0.392 -0.090
A^-1 = -0.074 -0.022 0.1536
-0.406 0.7122 -0.060
(computed with Excel)
The multiplication between the inverse of A and C gives:
0.440
A^-1 x C = 0.931
1.519
(computed with Excel)
Answer:
1f = .441
f2 = .931
f3 = 1.520
Step-by-step explanation:
did it on edge 2020
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
-2(x - 2)2 = -8(7 + y)
y = 1 / x²-x-6
y=-2+ V28+4x
y - 2+28+4x
Answer:
y=2+√28+4x
Step-by-step explanation:
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
1 point
9 sides
10 sides
11 sides
12 sides
Answer:
12 sides
Step-by-step explanation:
To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;
first write down the formula for finding sum of the interior angle of a polygon
s= (n-2)180
where s is the sum of the interior angle and n is the number of side
from the question given, sum of the interior angle s=1800 degrees
substitute s=1800 degree into the formula and solve for n
s= (n-2)180
1800 = (n-2)180
divide both-side of the equation by 180
1800/180 = n-2
10 = n - 2
add 2 to both-side of the equation
10 + 2 = n
12 = n
n= 12
The polygon have 12 sides
If x = -2, then x2-7x+10 equals
00
O 20
028
Answer:
28
Step-by-step explanation:
x^2-7x+10
Substitute x = -2
(-2)^2 -7(-2) +10
Exponents and multiplication
4 +14+10
Add
28
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
Answer: 8
Step-by-step explanation:
there is no table
Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?
Answer:
There is a zero percent chance of him giving his friends two green pens.
Step-by-step explanation:
He only has One pen.
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!
A book has 280 pages. Of the 280 pages, 210 have printing, 40 have pictures, and 30 are blank. Write your answers as fractions. Represent a fraction using the / symbol.
What is the probability of not opening to a printed page?
Answer:
1/4
Step-by-step explanation:
printed part = 210
total pages = 280
probability to open printed page 210/280 =3/4
probability to not open printed page = 1 - probability to open printed page = 1 - 3/4 = 1/4
Answer:
1/4
Step-by-step explanation:
280-210=70
P=70/280=1/4
In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5
Answer:
None, unless c was a typo
Step-by-step explanation:
Distributing gets us xy+2x=5
None of the options is that
If you meant option c as xy+2x = 5 though, then it would be correct
A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.
Answer:
0 , 120 , 120 , 150
Step-by-step explanation:
Lets consider in step by step
For Time = 0 hours
At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0
For Time = 2 hours
The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.
For Time = 2.5 hours
The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.
For Time = 3.5 hours
After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.
Total Distance covered = 120+30 = 150 miles
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ compass bearings ?”
Answer:
this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."
I can't really make sense of it though...
Answer:
What is the difference between constructing a square and constructing a regular hexagon?
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
Step-by-step explanation:
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer: i hope this is correct take care
Step-by-step explanation: