2. The number of atoms of a particular chemical element is modelled by
the following function: y=600 x 3-* where x is the number of hours.
a) How many atoms of the element were there at the start?
b) Draw a graph for 0
c) At what time were there 150 atoms?
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
__
c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
In ⊙Q, mJK=180° and mLM=116°. What is m∠1?
Answer:
64degrees
Step-by-step explanation:
From the given diagram;
m<LK = 180degrees
m<LM = 116degrees
Required
m<1
Since <1 and <LM lies on the same straight line, hence;
m<1 + m<LM = 180
m<1 + 116 = 180
m<1 = 180 - 116
m<1 = 64degrees
Hence the measure of m<1 is 64degrees
Answer: 32
Step-by-step explanation:
2a+180+116=360
2a=64
a=32
Need help ASAP please not links please
Answer:
a) 22:24 simplified the answer is 11:12
b) 21:81 simplified the answer is 7:27
Step-by-step explanation:
not sure how you were taught but those could also be
a) [tex]\frac{22}{24}[/tex] or simplified the answer is [tex]\frac{11}{12}[/tex]
b) [tex]\frac{21}{81}[/tex] or simplified the answer is [tex]\frac{7}{27}[/tex]
Jake took $20.00 to the shop and asked that it be changed into 5-cent coins. How many coins did he get?
Answer:
He got 400 coins because there are 100 cents in a dollar. 100*20=2000. 2000/5=400!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Find the volume of a figure that has a length of 5 cubic units, a width of 5 cubic units, and a height of 5 cubic units. *
Answer:
V = 125 cubic units
Step-by-step explanation:
The formula for volume is length x width x height. Now we must solve.
Solve:
5 x 5 x 5 = 125
125 cubic units
Answer:
125 units^3
Step-by-step explanation:
To find the volume of a cube (a figure with all the same side lengths) you multiply any length by itself 2 times or cube it
5^3 = 5*5*5 = 125 units^3
Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75 For Gas. He Earned $10 For Ever Lawn He Mowed. How Many Lawns Did He Buy? A. N = 400 x 10 b n 250 x 10 c. N = 400 / 10 d. N = 250 / 10
Answer:
C. N = 400 / 10
Step-by-step explanation:
Lawn-cutting Bank Account = $325
Amount paid for gas = $75
Total amount earned = Lawn-cutting Bank Account + Amount paid for gas
= $325 + $75
= $400
Amount earned per every lawn he mowed = $10
How Many Lawns Did He mow?
Let N = number of lawns he mowed
N = Total amount earned / Amount earned per every lawn he mowed
N = 400 / 10
N = 40 lawns
Is this relation a function?
Find the volume of each solid figure. (the yellow and blue figures)
Please help me to solve this
Answer:
x = -5, 6
Step-by-step explanation:
[tex]x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6[/tex]
The area of a rectangle is 221 in?. If its width is 13 in, then find its length.
Use the information to answer the following question.
The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.
The table gives some of the values of the exponential function g.
x
-1
0
1
2
3
g(x)
-0.5
0
1
3
7
Which of the following statements is FALSE?
A.
f(3) > g(3)
B.
Both functions have a domain of all real numbers.
C.
The y-intercept of f(x) is greater than the y-intercept of g(x).
D.
The functions f(x) and g(x) have the same value at x = 1.
Answer:
Step-by-step explanation:
Suppose that your mom gives you $20 to go to the school supplies store.
There is a 6% sales tax on supplies. You need to buy the following items
If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rectangle.
Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
2(2.2h+5.8h)+15(15h+5)
Answer:
,,,,,,,,,,,,,,,,,,,,,,,,,
what is 10 x 40 to the 12 power divided by 3 x 4
Answer:
33.33333333
Step-by-step explanation:
List three values for x that would make 5x < -20 true.
Answer:
1. -5
2. -6
3. -10
Step-by-step explanation:
There are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the inequality is below as
⇒ 5x < -20 ...(i)
⇒ 5x / 5 < -20 / 5
⇒ x < - 4
Thus, all the negative values which are less than -4 for x would make it true.
For example, we take x = -8
Substitute the value of x = -8 in the inequality (i),
⇒ 5(-8) < -20
⇒ - 40 < -20
This is true.
Similarly x = - 6, and - 7 also for x would make it true.
Hence, there are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
x-5+2x-7 find the vale pleaser!!
Answer:
12
Step-by-step explanation:
They are the same angle so they must be equal.
So, x+5 = 2x-7
5+7 = 2x-x
12 = x
Which two quadrilaterals are reflections of each other across the y-axis? i forgot to add the picture to the last one .
Answer
F and G
Step-by-step explanation:
Answer:
F and G
Step-by-step explanation:
find the 13th term of the arithmetic sequence -2x+8, 4x+2, 10x-4,...
Answer:
70x - 64
Step-by-step explanation:
Answer attached.....
Hope it helps:)
Evaluate the expression when z=7 3z+8
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
[tex]3(7)+8[/tex]
[tex]3(7) = 21[/tex]
[tex]21 + 8[/tex]
[tex]= 29[/tex]
☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?
Answer:
Step-by-step explanation:
∡a = ∡b
Please help me, I'm afraid of failing this but I don't know what it's even about
Answer:
...
Step-by-step explanation:
the coefficients are 4, 7, 4, 6
12 mols of h20 will be produced
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
Step-by-step explanation:
Ok, so remember your order of operations here.
Also, Remember that what we do to one side, we must do to the other side.
We cant solve whats in the parentheses, so that wont come first. The next best thing is the multipication of 0.8 in front of it:
0.8x(2x-4)
=
1.6x-3.2
Now lets rewrite the equation as:
1.6x-3.2=16
Now lets simply solve the rest:
1.6x=19.2
All I did is add 3.2 to both sides so I could get 1.6x on its own.
What is left is just dividing 1.6x to get 1x:
1.6x/1.6=19.2/1.6
This gets us:
x=12
This is because we divided 1.6 from both sides so that 1.6x became just x.
Answer:
12
Hope this helps!
Will give brainliest please help!!!!
In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin did the successful candidate win the election.
Answer:
the successful candidate won the election with a 24% margin.
Step-by-step explanation:
With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:
577,500+ 348,700=926,200
Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:
577,500/925,200=0.62*100=62%
348,700/926,200=38%
Now, you need to find the difference between both percentages to get the margin:
62%-38%=24%
According to this, the answer is that the successful candidate won the election with a 24% margin.
if y+z=4 and yz=3 then find y³+z³=?
I have no idea what the problem was with
Answer:
,,,,,,,,,,,,,,,,,,,,
Answer:
120in
Step-by-step explanation:
Okay, this is going to be a long one so hang onto your hats let's go
So, we first have to find the length that each of the frogs jumped so:
We're going to start with froggy #1, the 2-inch frog:
2 x 20 = 40
So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:
40 x 3 = 120
So froggy #1 jumped 120 inches
Now, we do the same with froggy #2, the 4-inch frog:
4 x 20 = 80
80 x 3 = 240
So froggy #2 jumped 240 inches
Now, we have to figure out how far ahead froggy #2 is from froggy #1:
240 - 120 = 120
So, the two froggies will end up 120 inches apart
hope this helps:)
What answer would this be?
Those are the reasons when I put BD perpendicular to AC
Step-by-step explanation:
Actually, ∠BDA＋∠BDC=180°
2∠BDA= 180°(CPCTC)
∠BDA= 90°
This is how BD is perpendicular to AC
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation: