Answer:
The total flow in gallons is approximately 16.524 gallons
Step-by-step explanation:
The given diameter of the tank, D = 18 inches
The amount by which the water depth rose, Δh = 15 inches
The quantity being measured = The total flow = The change in volume of water in the tank
The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh
Substituting the known values, gives;
ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³
1 gallon = 231 in.³
ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³) ≈ 16.524 gallons
The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.
find the value of k by
quardractic equation two real and equal roots
5x - 2kx +20=0
Answer:
k = +10 or -10
Step-by-step explanation:
It's given in the question that the roots of the eqn. are real and equal. So , the discriminant of the eqn. should be equal to 0.
[tex] = > {b}^{2} - 4ac = 0[/tex]
[tex] = > {( - 2k)}^{2} - 4 \times 5 \times 20 = 0[/tex]
[tex] = > 4 {k}^{2} - 400 = 0[/tex]
[tex] = > 4( {k}^{2} - 100) = 0[/tex]
[tex] = > {k}^{2} - 100 = 0[/tex]
[tex] = > k = \sqrt{100} = + 10 \: or \: - 10[/tex]
Step-by-step explanation:
Given Equation
5x-2kx+20=0
If it has real and equal roots then[tex]\boxed{\sf \longrightarrow D=0 }[/tex]
Substitute the values[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow b^2-4ac=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (-2k)^2-4\times 5\times 20=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2-20\times 20=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2-400=0[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2=400 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k^2=\dfrac {400}{4}[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k^2=100 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k=\sqrt{100}[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k=10 [/tex]
[tex]\therefore\sf k=10 [/tex]
Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick costs $1.40, and each box of crayons costs $0.59. How much money did Ms. Blankenship have left after these purchases?
Answer:
$16.32
Step-by-step explanation:
First you need to find how much each thing is going to cost.
So for 32 glue sticks, it will cost $44.80 because you multiply 32 by 1.40.
Next you need to find the cost of thebox of crayons, which is $18.88 because you multiply 32 by 0.59.
Then you add those two totals together and you get 63.68.
Lastly you subtract that from 80 to see how much money Ms. Blankenship has leftover which is $16.32.
Hope this helps. :)
At the movie theatre, child admission is $5.10 and adult admission is $8.80. On Saturday, 157 tickets were sold for a total sales of $1144.80. How many child tickets were sold that day?
Answer:
64 child tickets
Step-by-step explanation:
Let's set this up a system of equations. Number child tickets is c and adults are a.
5.1c+8.8a=1144.8
c+a=157
We can now solve by elimination. Let's multiply the second equation by -8.8 so that we are left with the child tickets.
-8.8c-8.8a= -1,381.6
We combine the two equations.
-3.7c=-236.8
Divide both sides by -3.7
c=64
Have a wonderful day! :D
how to solve using Substitution or Elimination??? Help!!!
y=3x-1
y=2x+2
Answer:
x=3
y=8
Step-by-step explanation:
the given equations are y=3x-1 --------(1)
and y=2x+2---------(2)
Using substitution method,
and solving y=3x-1
y+1=3x
or y+1/3 =x ------(3)
Putting the value of x= y + 1 / 3 in equation 2
y= 2x+2
or, y = 2 ( y + 1/3) +2
or, y= 2y + 2 / 3 +2
or, y = 2y + 2 + 6 // 3 ( Taking LCM)
Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)
OR, 3 Y - 2Y =6 PLUS 2
or y = 8
therefore, y=8
now substituting the value of y=8 in equation (3)
y + 1 /3 = x
or ,,, 8 plus 1 by 3 =x
or,,,,, 9 by 3 =x
Therefore, x is 3
HELPP ‼️‼️‼️ THIS IS DUE LIKE IN A MIN
Answer:
1, -2
Step-by-step explanation:
The x axis is 1 to the right, and the y axis is 2 down.
Type the correct answer in the box.
Simplify the given expression into the form , where a and b are rational numbers.
2(-36-3i)+5(+2i)12-2i)
Answer:
[tex]\huge\boxed{-8+8i}[/tex]
Step-by-step explanation:
[tex]2(-36-3i)+(5+2i)(12-2i)\\\\\text{use the distributive property and FOIL}\\\\=(2)(-36)+(2)(-3i)+(5)(12)+(5)(-2i)+(2i)(12)+(2i)(-2i)\\\\=-72-6i+60-10i+24i-4i^2\\\\i=\sqrt{-1}\to i^2=-1\\\\=-72-6i+60-10i+24i-4(-1)=-72-6i+60-10i+24i+4\\\\=(-72+60+4)+(-6-10+24)=-8+8i[/tex]
The expression in the form of a + ib is
-88 + 8i
where a = -88 and b = 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2(-36 - 3i) + (5 + 2i)(12 - 2i)
Remove the parenthesis.
-72 - 6i + 60 - 10i + 24i + 4
Add like terms.
-88 + 8i
This is in the form of (a + ib).
Where a = -88 and b = 8
Thus,
-88 + 8i is our final expression.
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Boris had 91.5 g of pepper then he use 0.4 g of the pepper to make each plate of scrambled eggs how much pepper does Boris have left if he made 16 plates of scrambled eggs
Answer:
85.1 g
Step-by-step explanation:
Boris has 91.5 g of pepper
He used 0.4g to make one plate of scrambled egg
If she made 16 plates of scrambled egg then the amount of pepper that will be left can be calculated as follows
= 0.4×16
= 6.4g
= 91.5g - 6.4g
= 85.1g
Hence Boris will have 85.1g of pepper left
Megan use 2/3 cup of almonds to make 4 cups of trail mix. Using this same portion, how many cups of almonds would Megan need to make 9 cups of trail mix.
Rob is saving to buy a new iPad. For every $15 he earns babysitting, he saves $6. On Saturday, Rob earned $75 babysitting. How much money did he save?
WILL GIVE BRAINLIEST
what is the end behaivor of function h options for both are [negative infinity], [positive infinity], or [a constant]
EDIT : NEGATIVE AND NEGATIVE IS CORRECT FOR PLATO USERS <3
Answer:
. Negative infinity
. Negative infinity
The word "less than" represent what operation?
Answer:
The term 'less than' is used to indicate the relationship between two values.The term 'less than' symbolically represented as '<'.Step-by-step explanation:
The term 'less than' is used to indicate the relationship between two values.It expresses that one value will be lesser than the other.
The term 'less than' symbolically represented as '<'.
We can implement certain operations like comparing values, heights, and numbers.
For example, there are 3 pencils in one bag A, and 8 pencils in bag B.
When we compare the two, we can easily observe that bag A has fewer pencils than bag B.
Thus,
Pencils in Bag A < Pencils in Bag A
3 < 8
If a1=2 and an=2an-1 find the first 5 sequences
Answer:
The first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Step-by-step explanation:
Given:
[tex]a_{1}[/tex] = 2
[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex] -----------------(i)
To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).
The first term (when n = 1) has been given as:
[tex]a_{1}[/tex] = 2
The second term (when n = 2) is given as:
[tex]a_{2}[/tex] = 2[tex]a_{2-1}[/tex]
[tex]a_{2}[/tex] = 2[tex]a_{1}[/tex] (but [tex]a_{1}[/tex] = 2 )
=> [tex]a_{2}[/tex] = 2(2)
=> [tex]a_{2}[/tex] = 4
The third term (when n = 3) is given as:
[tex]a_{3}[/tex] = 2[tex]a_{3-1}[/tex]
[tex]a_{3}[/tex] = 2[tex]a_{2}[/tex] (but [tex]a_{2}[/tex] = 4 )
=> [tex]a_{3}[/tex] = 2(4)
=> [tex]a_{3}[/tex] = 8
The fourth term (when n = 4) is given as:
[tex]a_{4}[/tex] = 2[tex]a_{4-1}[/tex]
[tex]a_{4}[/tex] = 2[tex]a_{3}[/tex] (but [tex]a_{3}[/tex] = 8 )
=> [tex]a_{4}[/tex] = 2(8)
=> [tex]a_{4}[/tex] = 16
The fifth term (when n = 5) is given as:
[tex]a_{5}[/tex] = 2[tex]a_{5-1}[/tex]
[tex]a_{5}[/tex] = 2[tex]a_{4}[/tex] (but [tex]a_{4}[/tex] = 16 )
=> [tex]a_{5}[/tex] = 2(16)
=> [tex]a_{5}[/tex] = 32
Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.
at least how many hours of sleep do students ages seven to twelve need per night
A seven
b eight
C nine
d ten
Answer:
10 hours
Step-by-step explanation:
ok
Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree
Answer:
15ft
Step-by-step explanation:
Calculation for how tall is the tree
First step Let the proportion be x/10ft = 6ft /4ft
Second step is to cross-multiply by 4x
4x =10ft*6ft
4x = 60
Third step is to divide both sides by 4
4x = 60
4x/4=60/4
x=15 ft
Therefore the tree will be 15ft tall
O treime din numărul elevilor participanti la o activitate de curatenie in parc (adica 106) sunt din clasele a iii-a cati elevi participa la acea activitate?
Răspuns:
318 de participanți
Explicație pas cu pas:
Dat fiind:
Număr în parc = 106
Numărul din parc reprezintă 1/3 din numărul elevilor care participă la activitatea de curățenie.
Pentru a obține numărul total de studenți care participă la activitate; fie numărul total = x
Prin urmare;
1/3 din x = 106
x / 3 = 106
Înmulțiți ambele părți cu 3
x = 318
Prin urmare, numărul total de studenți implicați în activitatea de curățenie = 318 stuaen
HELP RIGHT AWAY IF YOU SEE
Answer:
I would say A
Step-by-step explanation:
priya can bike 300 meters in 20 seconds. How many meters can she bike in 10 seconds?
What is the slope of the line in the graph?
Slope = ______
Answer:
1/1 or 1
Step-by-step explanation:
Answer:
1 or 1/1
Step-by-step explanation:
WHOEVER ANSWERS FIRST GETS BRAINLIEST PLSSSSS HELP MEH
Cami drank 7¼ liters of water Monday, 5½ liters of water on
Tuesday, 9¾ liters of water on Wednesday, and 6¼ of water on
Thursday. How much water did Cami drink during that four day span?
Answer:
29
Step-by-step explanation:
7 1/4 + 9 3/4 = 17
6 1/4 + 5 1/2 = 12
17 + 12 = 29
Answer:
She drank 28,75 liters.
Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =
1. 7.2 x 100 = 720
2. 468.8 ÷ 100 = 4.688
3. 0.12 x 1,000 = 120
4. 86.4 ÷ 100 = 0.864
5. 2.001 x 10 = 20.01
6. 1,200 ÷ 1,000 = 1.2
7. 3.41 x 100 = 341
8. 3.41 ÷ 10 = 0.341
9. 0.0031 x 100 = 0.31
10. 5.7 ÷ 100 = 0.057
11. 1.34 x 1,000 = 1340
12. 10 x 0.57 = 5.7
13. 57 ÷ 100 = 0.57
14. 1.068 x 100 = 106.8
15. 168.1 ÷ 10 = 16.81
16. 0.0341 x 100 = 3.41
Different observers reporting different conclusions when watching the same event may indicate unreliability in what type of data collection
Answer:
Personal observation.
Step-by-step explanation:
Worthy of note is to say that, it's is practically impossible to have a line of different people retell what they heard, saw or experienced in the same way. Because of the fact that human being differs, there's always a difference in the retelling of the story eventually. Everyone seems to retell the story in a manner they can relate to, in a manner of what they understand, and that's given rise to unreliability in personal observation. Not that they're wrong, nor that one is right than the other, but that they're just not reliable.
What is the product?
Two-thirds times 12.33
4.11
8.22
24.66
36.99
Answer:
[tex]\frac{2}{3} * 12.33=8.22[/tex]
Step-by-step explanation:
Given
Two-thirds times 12.33
Required
Solve
Two-thirds means [tex]\frac{2}{3}[/tex]
Mathematically, Two-thirds times 12.33 implies
[tex]\frac{2}{3} * 12.33[/tex]
Solving further
[tex]\frac{2 * 12.33}{3}[/tex]
[tex]\frac{24.66}{3}[/tex]
[tex]8.22[/tex]
Hence:
[tex]\frac{2}{3} * 12.33=8.22[/tex]
Answer:
8.22 is your right answer! The person above me has it down cold! You should mark him brainliest! :)
Step-by-step explanation:
Find the perimeter and area of the figure shown.
Answer:
perimeter = 18.81 units
area = 15 unit²
Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hours.
f(t) = 5t + 3
The function f represents the fact that every hour —
Janna and Travon can make 5 posters together, and 3 posters were already made.
Janna can make 5 posters, and Travon can make 3 posters.
Travon can make 4 posters, and Janna can make 1 poster.
Janna and Travon can make 5 posters apiece, and 3 posters were already made.
Answer:
I think is D
Step-by-step explanation:
Help ME PLSS WHOEVER ANSWERS FIRST WILL GET A BRAINLIEST!!!!
Jodie works at the local candy store and sells candy by the pound. She
sells 2½ pounds of gumdrops, 3 pounds of orange slices, and
¾ pounds of gummi bears. How much candy did Jodie sell altogether?
Answer:
6.25 or 6 1/4
Step-by-step explanation:
Jodie sold 6.25 candy altogether.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that perform the arithmetic operations are called arithmetic operators.
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
For example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given that
Jodie sells 2½ pounds of gumdrops,
3 pounds of orange slices, and ¾ pounds of gummi bears.
Convert the fractions into decimals
Number of pounds of gumdrops = 2½ = 5/2 = 2.5
Number of pounds of gummi bears = ¾ = 0.75
So the total amount of candy Jodie sold :
⇒ 2.5 + 3 + 0.75
⇒ 6.25
Hence, Jodie sold 6.25 candy altogether.
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[tex] \sqrt{17.3} [/tex]
Find the answer to /17.3 giving your answer correct
to 1 decimal place.
Answer:
[tex]\sqrt{17.3}[/tex] = 4.159..... so approx 4.2
Step-by-step explanation:
PLEASE HELP!! IM BEING TIMED!!!
Solve for X
Options: 6.5
14
10
19.25
Answer:
x = 10
Step-by-step explanation:
x = 10
Pleassse HELP WILL GIVE BRAINLIEST
Darrell bought an 80 pound bag of dog food. If ⅝ of a pound are used to
feed the dog each day, how many days will the bag of dog food last?
Answer:
The 80 p0und bag will last 128 days.
Step-by-step explanation:
In order to find out how much days the 80 pound bag last we have to divide the 80 pounds by the among that the dog eats each day. And so we get.....
80 / [tex]\frac{5}{8}[/tex] = [tex]\frac{80}{1} / \frac{5}{8}[/tex] = [tex](\frac{80}{1})(\frac{8}{5})[/tex] = [tex]\frac{640}{5}[/tex] = 128
Answer:
For some reason my answer got deleted.
The dog food will last 128 days,
Step-by-step explanation:
80 ÷ 5/8 = 128
Since 5/8 is being used each day, you divide.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
can someone with course hero help me plzzz!!
What is the distance between points A and B
Answer:
1/3
Step-by-step explanation:
To make it shorter.