Use a calculator 4 divided by 11= 0.36 (2dp)
Water flows through a pipe at a rate of 2 liters every 3.5 seconds. Express this rate of flow in cubic feet per minute. Round your answer to the nearest hundredth.
Answer:
1.21
Step-by-step explanation:
2 liter = 0.0706
3.5 seconds = 0.0583 minutes
0.0706/0.0583 = 1.21 cubic feet/minute
The rate of flow in cubic feet per minute is 1.21 cubic feet/minute if the water flows through a pipe at a rate of 2 liters every 3.5 seconds.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Water flows through a pipe at a rate of 2 liters every 3.5 seconds.
As we know:
2 liter = 0.0706
3.5 seconds = 0.0583 minutes
= 0.0706/0.0583
= 1.21 cubic feet/minute
Thus, the rate of flow in cubic feet per minute is 1.21 cubic feet/minute if the water flows through a pipe at a rate of 2 liters every 3.5 seconds.
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the difference between the squares of two numbers is 5. four times the square of the first number increased by the square of the second number is 40. find the numbers.
Answer:
The first number is [tex]\pm 3[/tex] and the second number is [tex]\pm 2[/tex].
Step-by-step explanation:
Create two equations using the given information. Let's set variables for the two numbers as x and y.
"The difference between the squares of two numbers is 5":
[tex]x^2-y^2=5[/tex]We can let x be the first number;
"Four times the square of the first number increased by the square of the second number is 40":
[tex]4x^2 + y^2 =40[/tex]Now we have a system of equations that we can solve for x and y:
[tex]x^2-y^2=5[/tex][tex]4x^2 + y^2 =40[/tex]It looks like [tex]y^2[/tex] can easily be canceled out from both equations if we use the elimination method. Add these equations together.
[tex]5x^2=45[/tex]Divide both sides of the equation by 5.
[tex]x^2=9[/tex]Take the square root of both sides of the equation.
[tex]x= \pm3[/tex]It doesn't matter if we use positive or negative 3, since the variables x and y are both being squared, so the outcome will always be positive.
Substitute either positive or negative 3 into the first equation.
[tex](3)^2-y^2=5[/tex]Evaluate the exponent.
[tex]9-y^2=5[/tex]Subtract 9 from both sides of the equation.
[tex]-y^2=-4[/tex]Divide both sides of the equation by -1 to get rid of the negative sign in front of [tex]y^2[/tex].
[tex]y^2=4[/tex]Square root both sides of the equation.
[tex]y= \pm2[/tex]Again, it doesn't matter if y is positive or negative since it is getting squared regardless.
The first number is [tex]\pm 3[/tex] and the second number is [tex]\pm 2[/tex].
[tex]x= \pm3[/tex] [tex]y= \pm2[/tex]Prove: DC = DB
What is the reason for the fourth and eighth steps in the proof?
A.
ASA criterion for congruent triangles
B.
Alternate Interior Angles Theorem
C.
Transitive Property of Equality
D.
Perpendicular Bisector Theorem
Answer:
Option (D)
Step-by-step explanation:
Statements Reasons
1. DG ⊥ AC 1. Given
2. AG = GC 2. Given
3. DG is the perpendicular bisector of AC 3. deduced from step 1 and 2
4. DA = DC 4. Perpendicular bisector theorem
5. DH ⊥ AB 5. Given
6. AH = HB 6. Given
7. DH is the perpendicular of AB 7. Definition of perpendicular bisector
8. DA = DB 8. Deduced from steps 6 and 7
9. DC = DB 9. Transition property of equality
Therefore, Option (D) will be the answer.
Answer:
d
Step-by-step explanation:
Find the missing angles.
Answer:
every angle is 60°, because its a equilateral triangle
Step-by-step explanation:
^^^
What would be the bill amount of an article costing
Rs.350. if 15% VAT is levied after a discount of 20%?
Answer:
Discount can be calculated when discount percentage is given. ... Additional expenses made after buying an article are included in ... If the selling price is Rs 112, cost price = Rs 100.
how many times can 1000000000000 go into 10
Answer:
10 million (10,000,000) tens can go into 100,000,000
Step-by-step explanation:
Answer: 10 million (10,000,000) tens can go into 100,000,000
Step-by-step explanation:
name the vertex
1.N
2.O
3.M
4.MN
Answer:
O is the vertex
Step-by-step explanation:
Vertex is a common meeting point of the two lines
Answer:
o
Step-by-step explanation:
o is the vertex
A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links.
11) Ten customers enter a convenience store during
their lunch hour on Monday. The list shows age
of each customer
23, 38, 24, 35, 27, 27, 34, 28, 33, 31
What is the mean absolute deviation of the ages?
A 30 years
B 5.6 years
C 3.8 years
D 42 years
Answer:
A. 30 years
Step-by-step explanation:
23+38+24+35+27+27+34+28+33+31= 300
There are 10 numbers in total
300/10= 30
Evaluate this expression.
y + 7, if y = 12
Answer:
[tex] \huge{ \boxed{ \sf{19}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \sf{Given}} : \sf{y = 12}[/tex]
[tex] \underline{ \sf{To \: Find}} : \sf{Value \: of \: the \: given \: expression} [/tex]
[tex] \sf{y + 7}[/tex]
plug the value of y
[tex] \mapsto{ \sf{12 + 7}}[/tex]
Add the numbers: 12 and 7
[tex] \mapsto{ \sf{19}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The function f(x)=|x| written as a piecewise function looks like:
f(x)= x if x greater than or equal to 0
-x if x< 0
Please select the best answer from the choices provided
T
F
Answer:
True
Step-by-step explanation:
Just took the test
Answer:
A. True
Step-by-step explanation:
just passed the quiz on edge 2020 2021
Set up a Table How many gallons of pure water should be evaporated from 160 gallons of a solution containing 12% salt so that the remaining solution contains 20% salt? Fill in the table: Amount of salt Total solution Original b RETRY a Removed What is the original amount of solution in gallons? a = 0.12 160 0.2 X 19.2 New
Step-by-step explanation:
Original Removed New
Amount of salt .12(160) 0 .12(160)
Total solution .2(160) .2a .2(160 - a)
.12(160) = .2(160 - a)
19.2 = 32 - .2a
.2a = 12.8, so a = 64 gallons pure water
Find the sum of 20 and the difference between 10 and 2
Answer:
The answer would be 28.
Step-by-step explanation:
Cuz, 10-2=8
8+20=28
So the answer is 28, Hope this helps:)
Answer:
28
Step-by-step explanation:
the sum means it is addition and difference means subtraction.
this means that if you add the difference of 10 and 2 to 20 you will get the answer.
10-2 equals to 8
then do 20+8 to get 28
2 of 6
As an estimation we are told 5 miles is 8 km.
Convert 32.7 km to miles.
miles
Step-by-step explanation:
8 km = 5 miles
32.7 km = x miles
x = (32.7 × 5)/8
x = 163.5/8 = 20.4375 = 20.44 miles
Evan ran 9 3/5 miles in one hour and twenty four minutes. Find the average number of minutes it took him to complete one mile.
Answer:
8.75 minutes
Step-by-step explanation:
One hour is 60 minutes, so 1:24 is 60+24 = 84 minutes.
Evan's rate is then ...
84 minutes/(9.6 miles) = 8.75 minutes per mile
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?
add 7
add 9
divide by 4
subtract 5x
Answer:
Divide
Step-by-step explanation:
What is the ratio of the number of beaks to the number of legs the chickens and the sheep have on this farm?
Answer:
8 chickens, 14 sheep needs to be simplified
Step-by-step explanation:
So the chicken has 1 beak and 2 legs and a sheep has 4 legs.
so since there are 8 chickens we know we have 8 beaks
if we mulitply 2 times 8 we get 16
if we mulitply 4 times 14 we get 56
the number of legs is 16+56=72
so we have 8 beaks and 72 legs or 8:72
Divide both sides by 8 to simpilfy u get 1:9 as the answer
the tallest building in franklin is two -third the highest of the tallest building in mayville. if the tallest building in mayville is 8013/16feet, find the hihest of the tallest building in franklin
Answer:
[tex]\dfrac{2671}{8}\ \text{feet}[/tex]
Step-by-step explanation:
Given that,
The tallest building in franklin is two-third the highest of the tallest building in mayville.
The tallest building in mayville is [tex]\dfrac{8013}{16}[/tex] feet
We need to find the height of the tallest building in franklin.
Let f is the height of the tallest building in franklin and m is the height of the highest building in mayville.
ATQ,
[tex]f=\dfrac{2}{3}m[/tex]
We have, m = [tex]\dfrac{8013}{16}[/tex] feet
So,
[tex]f=\dfrac{2}{3}\times \dfrac{8013}{16}\\\\f=\dfrac{2671}{8}\ \text{feet}[/tex]
So, the height of the tallest building in franklin is [tex]\dfrac{2671}{8}\ \text{feet}[/tex].
Answer:
53 and
23/24
Step-by-step explanation:
Kailua knows that 6 lamps among 216 are defective.How many lamps will be defective among 288 lamps?
Answer:
Step-by-step explanation:
since for 216 lamps, 6 are defective, for 1 defective lamp there are 216/6 = 36 lamps..... so therefore for 288 lamps there are 288/36 = 8 defective lamps.
Hope u got the answer
select all the values of x so g(x) is not a function.
Answer: The answer is 6 and 9
Step-by-step explanation: We are trying to figure out what makes the chart not a function. A function is is one input equals one output.
so all you have to do is look at the x and look at the number that is already there and just make it repeat.
The value of x so g(x) is not a function is 3, the correct option is A.
We are given that;
The table of x and g(x)
Now,
A function is a relation that assigns exactly one output to each input. In other words, a function is a relation that has no repeated x-values. To check if g(x) is a function, we can look at the table and see if there are any x-values that have more than one corresponding g(x) value. If there are, then g(x) is not a function.
To find the equation of a linear function, we need to know its slope and its y-intercept.
We can plug in any pair of x and g(x) values from the table and solve for b. Now, using x = 3 and g(x) = 8, we get:
g(x) = mx + b 8 = 4(3) + b 8 = 12 + b b = -4
The equation of g(x) is g(x) = 4x - 4
Looking at the table,
we can see that x = 3 has two different g(x) values: 8 and 9.
This means that g(x) is not a function for x = 3.
Therefore, by the function answer will be 3.
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Solve for v.
5v- 13=22
Answer:
5(7)-13=22
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
5v-13=22
+13 +13
5v=35
5v/35
v=7
8n - 2n =12 help ASAP
Step-by-step explanation:
Answer n=2
add 8n and -2n which is 6n and then divide 6n by 6 and 12 by 6 and you get n=2
KANE IS TRAINING FOR A MARATHON. HE RUNS 3 MILES EVERY TRAINING SESSION. EACH WEEK HE PLANS TO INCREASE THE DISTANCE OF HIS RUN by 1/4 mile. Write a formula with w represent the week
Answer:
i think the answer might be w=3+1/4
Which function(s) are also one-to-one?
the mapping diagram
the set of ordered pairs
DONE
Answer: the set of ordered pairs
Step-by-step explanation:
Answer:set of ordered pairs
Step-by-step explanation:
just did it on edge 2021
perform the following calculations: (-16) - (-42)
Answer:
26
Step-by-step explanation:
When we subtract a negative it is like adding
(-16) - (-42)
(-16) + (42)
Re arranging the order
42 -16
26
Answer:
Step-by-step explanation:
The - 42 is going to give trouble.
Two minus signs multiplied together give a plus. In fact any number of even minus signs (2,4,6,8, 1000) multiplied together make a plus.
(-16) + 42 = 26
What the GCF of 6 and 11
Answer:
it is 1 be ause they do not go into each other
Drag the values to the correct location in the equation. Not all values will be used. Which two values will make the equation true, for y≠0
The two values which will make the given true are 17 and 4.
SimplificationWhat is simplification?By employing different processes, simplification refers to reducing the expression to a simpler form. The mathematical equation is simplified to its closest value using approximation, which is not perfectly accurate.
Simplification for the given equation:Consider the given equation and substitute the vale 17 and 4 in the blank space.
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{48y^{4} }[/tex]
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{6*8y^{3} y}[/tex]
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{6*2^{3} y^{3} y}[/tex]
Further simplifying,
= [tex]17y\sqrt[3]{6y} -14*2y\sqrt[3]{6y}[/tex]
= [tex]17y\sqrt[3]{6y} -28y\sqrt[3]{6y}[/tex]
= [tex]-11y\sqrt[3]{6y}[/tex]
Therefore, the values for which the [tex]17y\sqrt[3]{6y} -14\sqrt[3]{48y^{4} }[/tex] = [tex]-11y\sqrt[3]{6y}[/tex] is 17 and 4.
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Answer for brainiest
The ratio table above describes the relationship between grapes and blueberries in a fruit salad.
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
9:6
10:5
12:3
14:1
please help. I don't understand this. 50PTS
Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch
Answer:
48 square inches per inch
Step-by-step explanation:
The difference quotient is the average rate of change:
m = ΔA / Δe
m = (A(e+h) − A(e)) / h
m = 12e + 6h
In this case, e = 3 and h = Δe = 5−3 = 2.
m = 12(3) + 6(2)
m = 36 + 12
m = 48
As an estimation we are told 5 miles is 8 km.
Convert 25.9 miles to km.
Answer:
41.6820096
Step-by-step explanation:
In the last 6 years the population of Manchester, England, has grown at a rate of 0.8% per year to 530,300. If this rate continues, what will be the population in 15 more years? Round your answer to the nearest whole number.
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 + [tex]\frac{0.8}{100}[/tex] = 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people
