when a pendulum swings, at which point is potential energy highest?
Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Answer:Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Step-by-step explanation:
The required number of boxes of markers MS. Yost have is 104 boxes.
Given that,
Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
According to the question,
Total number of boxes = 20 + 420% of 20
Total number of boxes = 20 + 4.20 * 20
Total number of boxes = 20 + 84
Total number of boxes = 104
Thus, the required number of boxes of markers MS. Yost have is 104 boxes.
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Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.
Two numbers whose sum is 10 is required.
The answer is
Minimum: 5, 5
Maximum: 9, 1
Let [tex]x[/tex] and [tex]y[/tex] be two numbers
[tex]x+y=10\\\Rightarrow y=10-x[/tex]
The sum of the squares would be
[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]
[tex]f(x)=2x^2-20x+100[/tex]
Differentiating with respect with x
[tex]f'(x)=4x-20[/tex]
Equating with zero
[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]
Double derivative of f(x)
[tex]f''(x)=4[/tex]
[tex]f''(x)>0[/tex]
So, at [tex]x = 5[/tex] the value of the function is minimum.
Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]
For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method
[tex]9^2+1^2=82[/tex]
[tex]8^2+2^2=68[/tex]
[tex]7^2+3^2=58[/tex]
[tex]6^2+4^2=52[/tex]
0 and 10 will not be considered as 0 is neither positive nor negative.
So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.
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Convert 171 from decimal to hexadecimal.
Answer:
AB should be the answer.
HELP!
given that two triangles are similar, what is the measure of la
A) 20
B)35
C)55
D)90
Answer:
angle L is 35 degrees
angle A is 55 degrees
Step-by-step explanation:
angle L is congruent to angle C, and it is given that angle C is 35
angle A is congruent to angle N, and it is given that angle C is 55
PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?
Answer:
try 15 / 2.25
Step-by-step explanation:
100 POINTS ANSWER QUICK
Answer:
B. 20 kilometers
Step-by-step explanation:
I just added all of the "cm" and got 20 kilometers so yeahh im quite positive it is correct!
Answer:
B
Step-by-step explanation:
Express in the form
1
:
n
Give
n
as a fully simplified fraction.
18
:
9
Answer:
Substitute n with the given value which is 18:9
Ratio(:)means fraction, so
1/18:9
To make it easier
1×9/18
Then multiply 1 and 9
9/18=1/2 which equals to 1:2
Step-by-step explanation:
I hope this helps, please give me brainliest
Answer:
1/2
Step-by-step explanation:
1:n
1/(18/9)
9/18
1/2
So 1/2 will be answer
Y=2× Y=×+1
A: (2/3, 1/3)
B: (1,2)
C: (2,1)
D: (1/3, 2/3)
Answer:
The answer is B: (1,2)
Step-by-step explanation:
(solved using elimination method)
-2x+y=0
y=x+1
-x+y=1
-2x+y=0
x+y=-1
-x=-1
x=1
-1+y=1
y=2
(x,y)=(1,2)
Find the greatest common factor of 13m^2 and 8m.
Answer:
i think its 1
Step-by-step explanation:
find the length of the third side to the nearest tenth
Answer:
6.9
Step-by-step explanation
Use the Pythagorean Theorem
a^2+b^2=c^2
a^2=c^2-b^2
a^2=64-16
a^2=Sqr rot of 48
6.92820323
6.9
f(1)=-12, f(n)=2f(n-1)
find first 4 terms
============================================
Explanation:
The notation f(1) = -12 tells us that the first term is -12.
The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.
-12*2 = -24
-24*2 = -48
-48*2 = -96
So the first four terms are -12, -24, -48, -96.
-----------------------------------
Alternative Approach
f(1) = -12 .... first term
f(n) = 2*f(n-1) ... nth term recursive formula
f(2) = 2*f(2-1) ... plug in n = 2
f(2) = 2*f(1)
f(2) = 2*(-12) ... plug in f(1) = -12
f(2) = -24 ... second term
f(n) = 2*f(n-1) .... resetting for the next computation
f(3) = 2*f(3-1) ... plug in n = 3
f(3) = 2*f(2)
f(3) = 2*(-24) ... plug in f(2) = -24
f(3) = -48 .... third term
f(n) = 2*f(n-1) ... one more reset
f(4) = 2*f(4-1) .... plug in n = 4
f(4) = 2*f(3)
f(4) = 2*(-48) ... plug in f(3) = -48
f(4) = -96 ... fourth term
We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.
El extremo del diámetro de una circunferencia de centro A (7, - 6) es B (2,2); Hallar las coordenadas p (x, Y) del otro extremo.
Porfavor ayuda
Justificado la respuesta
Answer:
A
I think that ia the answer hoped thay helps
6 14:24
- 24
3. A bolt ras 15 tuzne per inch. How many turned on 24 intresse
threda
4. If a bosashelf is a inches long, hou wonyinch trackbacks will
holda
5. Deborah reeds to make 16 costumes for the school play. Each costume
regeres 2 yards of motora. Hemom
Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.
Answer:
1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12
Step-by-step explanation:
HELP ME FOR BRAINLIEST
Answer:
4
Step-by-step explanation:
PEMDAS
How many ways are there to arrange the letters in AIRBAGS?
There are 49 ways to arrange the letters (if they aren't words)
Select all of the trips that would take 2 hours.
1.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
2.Walk 3 miles per hour to school, which is 1.5 miles away.
3.Take a train going 80 miles per hour from Albany to New York City
Answer:
#1 and #3
Step-by-step explanation:
if you divide the total distance between them you will get 60 for #1 and 80 for #3 if you multiply them both by 2 you get the total amount of miles for 2 hours
Answer:
1 and 3
Step-by-step explanation:
120 divided by 60=2
160 divided by 8=2
hopes this helps!! have a nice day!!
Which man made object is likely to endure long after humans have disappeared from New York city?
A. Ceilings
B. Sewer systems
C. Steel l-beams
D. Bronze sculptures
Bronze sculptures endure long after humans have disappeared from New York city.
What is Man made objects?Human-made materials are those that humans have manufactured. Such examples are rubber, paper, plastic, furniture, and clothing. Artificial satellites are man-made. They take off from the Earth.
As, Bronze is an extremely robust substance that can withstand many circumstances that softer metals cannot.
Utilizing this metal for art pieces is fantastic because it requires no maintenance and upkeep and can survive for hundreds of years, enhancing its worth even further.
Also, Bronze is last long than Steel.
Thus, Bronze sculptures endure long after humans have disappeared from New York city.
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Find the Unit Rate: If 10 30.5 oz containers cost $70 how much does one container cost?
Answer:
$7
Step-by-step explanation:
70 / 10 = 7
Answer: $7.00
One container would cost $7 because if you can buy 10 for $70 you would have to solve
[tex]\frac{70}{10}[/tex]
Which equals $7.00
Please mark brainliest if correct :)
Find the quotient of 394/6
Answer:
65
Step-by-step explanation:
394/6
When 394 divided by 6 then
we get 65 quotient and 4 remainder
25 pounds of recyclable trash is % ? Of the barrel of 51 pounds of trash
Step-by-step explanation:
25÷100 as it is percentage and any thing percentage is ÷by 100. 25÷100×51=12.75
Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours
100 miles
100 miles
100 miles
100 miles 100 miles
100 miles ok?
Find the measures of Angles A,B, and C
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
AABC is reflected over the x-axis. What will be the coordinates of C'?
4
А A
3
2
-2
B
-1
-2
-3
-4
Answer:
The answer to your question will be A
Step-by-step explanation:
AABC is reflected over the x-axis. What will be the coordinates of C'?
4
А A
3
2
-2
B
-1
-2
-3
-4
what is the equation of the line that passes through (20, 500) and (16, 300)
hi there! here's my answer for you...
Answer:
y = 50x − 500
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
hope this helps. have a good one!
Identify a pair of Alternate Exterior Angles
Answer:
Angles 6 and 3. Hopefully this helps.
Solve 3(x - 5) = 2(x + 5)
Answer:
it should be x=25
