Answer:
=34602838637675
Step-by-step explanation:
=−519601+(62626626)(552526)
=−519601+34602839157276
=34602838637675
Please help worth 50 points!!!
Choose the correct name for the set of numbers, {1,2,3,...) irrational numbers integers whole numbers real numbers natural numbers rational numbers
Answer:
These are rational numbers.
If you need to find the value of a variable in an equation, you need to
equation, which means to find the set of values that makes the equation true.
A.isolate
B.simplify
C.check
D.solve
A bacteria can double every 4 hours. If you start with 22, how many will you have in 18 hours?
Answer:
ii cud givee uu an explanation for understandment for help if still don't understand im sowwyy thenn.
Step-by-step explanation:
It is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
Geometric sequence can model the considered situation. The number of bacteria in 18 hours for the considered situation will be 264
What is a geometric sequence and how to find its nth terms?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.The second parameter is the quantity by which we multiply previous term to get the next term.The third parameter is the length of the sequence. It can be finite or infinite.Suppose the initial term of a geometric sequence is [tex]a[/tex] and the term by which we multiply the previous term to get the next term is [tex]d[/tex]
Then the sequence would look like
[tex]a, ad, ad^2, ad^3, ad^4,...[/tex] (till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ad^{n-1}[/tex]
We can model the given situation with the geometric sequence since each previous count is being doubled(multiplied by 2) per 4 hours.
We're given initial number of bacteria = a = 22
Each new element will be denoting number of bacteria after 4 hours from previous count.
So, from 0 to 16 hours, there are four set of 4 hours. Thus, n = 4
Since number of bacteria are doubling, thus, d= 2
We get fourth term = number of bacteria after 16 hours
[tex]T_n = a(d)^{n-1} = 22 \times (2)^3 = 176[/tex]
Now, in the last 2 hours, assuming that if x -> 2x in 4 hours(which is increment of x), then in 2 hours, only x/2 must be incremented.(assuming linear growth in each 4 hour group).
Thus, after 18 hours, 176 + 176/2 will be the number of bacteria.
Thus, Number of bacteria after 18 hour for the given case = 176 + 88 = 264
Learn more about geometric sequence here:
https://brainly.com/question/2735005
8. Given MML = 80 and m2KML 33
what is mM
Casey burrows 3200 for a computer system at a rate of 4.25% per year. How much simple interest will he owe if he takes 4 months to repay the loan? Round to the nearest cent.
Answer:
$45.33
Step-by-step explanation:
First we find 4.25% of $3200 to find the interest in 1 year.
For simple interest, use this formula:
I = Prt
where
I = amount of interest
P = principal amount (the amount deposited or borrowed)
r = annual interest rate
t = number of years
We have
I = ?
P = $3200
r = 4.45% = 0.425
t = 1 year
I = ($3200)(0.0425)(1)
I = $136
The interest in 1 year is $136.
Now we convert 4 months to years
1 year = 12 months
4/12 = 1/3
4 months are only 1/3 of a year, so he pays only 1/3 of the interest of an entire year.
1/3 * $136 = $136/3 = $45.3333...
Answer: $45.33
Please help fast !!!!!!!!!
Answer:
x >= -2
Closed circle and going to the right, so it is greater than or equal to -2.
What are the coordinates of point J'?
Answer:
Step-by-step explanation:
The coordinates of point J are (10,-2) and L os a point on the y axis.
15. Tom is deciding whether or not he should become a gym member to use their basketball courts. The membership cost is $135. Members pay $3 to rent out the basketball courts. Non-members can rent the courts also, but they have to pay $11 each time. How many times would Tom need to rent the court in order for it to be cheaper to be a member than a non-member?
Answer:
Tom need to rent the court in order for it to be cheaper more than 15 times.
Step-by-step explanation:
Answer:
Tom needs to rent it atleast 17 times.
Step-by-step explanation:
1) First, write your equations. x in this case equals the # of times you rent the court.
For members: y = 135 + 3x (members)
Non-members: y = 11x (non-members)
From here, there can me many methods that can work. Right now I can only think of one though :/.
So what you can do is plug in numbers and see what happens. I suggest you work with easy numbers when you plug stuff in. Once you find that non-members is greater than the amnt for members have, that's your answer!
a) x = 10
For members: 135 + 3(10) = 165
Non-members: 11(10) = 110
Didn't work. :(
b) x = 20
For members: 135 + 3(20) = 195
Non-members: 11(20) = 220
Aha! We have a valid answer. However, we need to find the minimum number of times Tom needs to rent it.
c) x = 15
For members: 135 + 3(15) = 180
Non-members: 11(15) = 165.
So our answer is between 15 and 20.
If you keep doing this, you'll find that 18 is the minimum number of times tom will have to rent the court. So your answer is anything greater than equal to 17.
x = 17
For members: 135 + 3(17) = 186
Non-members: 11(17) = 187
Sorry I made this tedious, but this is one method. Though I helped you find the answer, I hope someone else can help you find the best method!
anyone have the answer to this one?
Area of the rectangle is 60
Area of the semi circle 14.13 ir 14.1
60 plus 14.1 is 74.1
I hope its right
Choose an even number between 10 and 19 . Draw a picture and then write a sentence to explain why it its an even number
Answer:
12, 14, 16, and 18 are all even numbers between 10 and 19
Step-by-step explanation:
They are all even numbers because they end in 2, 4, 6, or 8. 0 is considered neither even nor odd.
Answer:
12 is an even number because it is divisible by 2
Write each fraction as a decimal and as a percent.
Answer:
0.35 and 35%
Step-by-step explanation:
7/20=35/100
35/100=0.35=35%
A snake bar sold 12 1/2 gallons of milk at 35 cents a pint. How much did the snack bar receive for the milk
9514 1404 393
Answer:
$35.00
Step-by-step explanation:
The number of pints sold is ...
(12.5 gal)×(8 pt/gal) = 100 pt
Then the total amount received for the milk is ...
(100 pt)($0.35/pt) = $35.00
Is the function y=|x-5|a one to one function? Justify your answer
Answer:
no
Step-by-step explanation:
if a=0 it's y=0, it's not one to one
if ais not 0, it's a even function and it's not 1 to 1, for example a=1, x=8 and x=2 have same f(x)
pls change this to decimal number 1011111 base 2
Answer:
95
Step-by-step explanation:
1. First, the binary to decimal formula is:
decimal = [tex]d_0*2^0 + d_1 *2^1 + d+2*2^2+..[/tex]2. Now, let's apply it:
[tex](1011111 )_2= (1 *2^6) + (0 *2^5) + (1*2^4) + (1*2^3) + (1 *2^2) + (1 *2^1) + (1*2^0)[/tex] [tex]1(64) + 0(32) + 1(16)+1(8)+1(4)+1(2)+1(1)[/tex] [tex]64 + 0 + 16 + 8 + 4 + 2 + 1[/tex] [tex]80 + 8 + 4 + 2 + 1[/tex] [tex]88 + 4 + 2 + 1[/tex] [tex]92 + 2 + 1[/tex] [tex]94 + 1[/tex] [tex]95[/tex]Therefore, the answer is 95.
Find the solution of the system of equations. 6x -y= 21. -5x + y= -18
I NEED A MATH EXPERT TO GIVE ME 100% ACCURATE RIGHT ANSWER FOR THESE QUESTIONS NO LINKS !!!
4(+2)=8+4
1.Distribute
4(+2)=8+4
4+8=8+4
2.Rearrange terms
4+8=8+4
4+8=4+8
3.Subtract 8 from both sides of the equation
4+8=4+8
4+8−8=4+8−8
4.Simplify
Subtract the numbers4+8−8=4+8−8
4=4+8−8
2.Subtract the numbers
4=4+8−8
4=4
5.Subtract 4 from both sides of the equation
4=4
4−4=4−4
6.Simplify
1.Combine like terms
4−4=4−4
0=4−4
0=0
The Answer is 0=0.
[tex] \frac{1}{5}(25 - 5a) = 4 - a [/tex]
Rearrange terms
[tex] \frac{1}{5}(25 - 5a) = 4 - a \\ \frac{1}{5}( - 5a + 25) = 4 - a \\ [/tex]
2.Combine multiplied terms into a single fraction
[tex] \frac{1}{5}( - 5a + 25) = 4 - a \\ \frac{1( - 5a + 25)}{5} = 4 - a [/tex]
3.Multiply by 1
[tex] \frac{1( - 5a + 25)}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = 4 - a [/tex]
4. Rearrange terms
[tex] \frac{ - 5a + 25}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = - a + 4 [/tex]
5.Add to both sides of the equation
[tex] \frac{−5+25}{5} = - a + 4 \\ \frac{−5+25}{5} + a= - a + 4 + a [/tex]
6. Simplify
Find common denominator
[tex] \frac{ - 5a + 25}{5} + a = - a + 4 + a \\ \frac{ - 5a + 25}{5} + \frac{5a}{5} = - a + 4 + a [/tex]
2.Combine fractions with common denominator.
[tex] \frac{ - 5a + 25}{5} + \frac{5a}{5} =−+4+ \\ \frac{−5+25 + 5a}{5} = - a + 4 + a [/tex]
3. Combine like terms
[tex] \frac{ - 5a + 25 + 5a}{5} = −+4+ \\ \frac{25}{5} = −+4+[/tex]
4. Cancel terms that are in both the numerator and denominator
[tex] \frac{25}{5} = −+4+ \\ 5 = −+4+[/tex]
5. Combine like terms
5 = - a + 4 + a
5=4
Answer: 5=4.
7
find the factors and the greatest common factor for each set of numbers. 250, 45, 30
The gcf of 250, 45, and 30 is 5
Tina is working on a science project. She needs to make green paint in
order to complete her project. For every two gallons of blue paint, she
needs to add six gallons of yellow. If Tina used a total of 1,312 gallons
of paint, how many gallons were yellow?
94
Answer:
I think 164
Step-by-step explanation:
1312/8
Given lines are parallel, find value of x.
Answer:
x=42
Step-by-step explanation:
3x+1+x+11=180
Combine like terms
4x+12=180
subtract 12 from each side
4x=168
divide by 4
x=42
Hope this helps! Have a great day!!
Help me out please!!
Step-by-step explanation:
1. [tex](fg)' = f'g + fg' [/tex] (chain rule)
2 [tex]f(x) = x^5\sin{x}[/tex]
[tex]\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}[/tex]
simplify the radical and use the imaginary unit i.
Answer:
√
−
49
=
7
i
Explanation:
A square root of a number
n
is a number
x
such that
x
2
=
n
Note that if
x
is a Real number then
x
2
≥
0
.
So any square root of
−
49
is not a Real number.
In order to be able to take square roots of negative numbers, we need Complex numbers.
That's where the mysterious number
i
comes into play. This is called the imaginary unit and has the property:
i
2
=
−
1
So
i
is a square root of
−
1
. Note that
−
i
is also a square root of
−
1
, since:
(
−
i
)
2
=
(
−
1
⋅
i
)
2
=
(
−
1
)
2
⋅
i
2
=
1
⋅
(
−
1
)
=
−
1
Then we find:
(
7
i
)
2
=
7
2
⋅
i
2
=
49
⋅
(
−
1
)
=
−
49
So
7
i
is a square root of
−
49
. Note that
−
7
i
is also a square root of
−
49
.
What do we mean by the square root of
−
49
For positive values of
n
, the square root is usually taken to mean the principal square root
√
n
, which is the positive one.
For negative values of
n
, the square roots are both multiples of
i
, so neither positive nor negative, but we can define:
√
n
=
i
√
−
n
With this definition, the principal square root of
−
49
is:
√
−
49
=
i
√
49
=
7
i
Footnote
The question remains: Where does
i
come from?
It is possible to define Complex numbers formally, as pairs of Real numbers with rules for arithmetic like this:
(
a
,
b
)
+
(
c
,
d
)
=
(
a
+
c
,
b
+
d
)
(
a
,
b
)
⋅
(
c
,
d
)
=
(
a
c
−
b
d
,
a
b
+
c
d
)
These rules for addition and multiplication work as expected with commutativity, distributivity, etc.
Then Real numbers are just Complex numbers of the form
(
a
,
0
)
and we find:
(
0
,
1
)
⋅
(
0
,
1
)
=
(
−
1
,
0
)
That is
(
0
,
1
)
is a square root of
(
−
1
,
0
)
Then we can define
i
=
(
0
,
1
)
and:
(
a
,
b
)
=
a
(
1
,
0
)
+
b
(
0
,
1
)
=
a
+
b
i
The somatic cells, or non-reproductive cells, in the human body contain 46 chromosomes that occur as 23 pairs of chromosomes.
Which answer below best explains where these chromosomes come from?
Step-by-step explanation:
23 of the chromosomes come from one parent , 23 from other parent.
the qustion is to make 5 dinner rolls 1/3 cup of flour is used how much flour is needed to make 1 dinner roll
Answer:
[tex]\frac{1}{15}[/tex] cup of flour
Step-by-step explanation:
5 rolls = [tex]\frac{1}{3}[/tex] cup
? × 5 = [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] ÷ 5 = ?
[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{5}{1}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]
Graph the image of the polygon after the given rotation. 90 degrees
Answer:
qqqqqqqqqqqqqqqqqqqqqqqq
9. Please answer this question
A is the point (8, 5) and B is the point(- 4, 1).Calculate the length of AB. *
Answer:
..............................
Help please thanksss
What is the slope of -7 ,-4 and 7,-4
Answer:
ifk
Step-by-step explanation:
what is a nice party in the car going right be in a call to get place to go out and to some of these things for you to take care and party and to parties place party on the phone case pink or something like else is one nice good to of rid if not you a bit of longer health way your family or
PLEASE HELP FAST. Maggie pays for a 6-month subscription to a video streaming channel. Because she purchased 6 months at once, she receives a $10 discount. Her final price after the discount is $43.94. What was the original price per month (H)?
Answer:
53.94$
Step-by-step explanation:
Answer:
53.94$
Step-by-step explanation: