To solve that question we can think by the following way:
The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.Using the fundamental principle of counting, we will find out that can be formed [tex]4\times 4 = 16[/tex] differents sequences (for example, AA, AG, TT, TG, CT...).
Know we know that, we can generalize. If I have [tex]n[/tex] elements and I must choose one of them [tex]t[/tex] times to do a sequence, the total number of sequence that I can form will be [tex]n^t[/tex].
In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is [tex]4\times 4\times 4\times ... \times 4[/tex] (29 times) [tex]= 4^{29}[/tex].
Therefore, there are [tex]4^{29}[/tex] DNA sequences with exactly 29 letters long.
I hope I've helped you. =D
Enjoy your studies. \o/
What is 98,248 written as a number name?
Answer:
ninety eight thousand two hundred forty eight
Answer:
Ninety-eight-thousand-and-two-hundred-and-forty-eight
Step-by-step explanation:
In Joan's math class, there are 20 computers and 32 students.
What percent of students will be able to use a computer with out
sharing?
*
62.5%
32.5%
25%
66%
20/32
5/8
0.625
62.5
62.5%
x% x 32= 20; x%=20÷32: x%=.625:; x= 62.5%
Hi, need help on this please, will give 5 stars and a thanks if you get it correct (:
Answer:
Move the decimal point in 407.26 three places to the left = 0.407283
Step-by-step explanation:
Answer:
3, left
Step-by-step explanation:
When you're dividing a number by any power of 10 that is a whole number (10, 100, 1000, etc.), you move the decimal point to the left as many times as there are zeroes in the digit.
Examples:
30.22 ÷ 100 = 0.3022
There are two zeroes in 100, so move the decimal point two spaces to the left.
568.9 ÷ 10000 = 0.05689
There are four zeroes in 10000, so move the decimal point four spaces to the left.
The given equation in the problem is 407.26 ÷ 1000, so you move the decimal point 3 spaces to the left to find the correct answer.
If 1040-x=3y and x-880=y what is y
HELP FAST
y = x - 880 ==》 x = y + 880 ( ☆ )
_________________________
3y = 1040 - x =☆=》 3y = 1040 - ( y + 880 )
====》 3y = 1040 - y - 880
====》 3y + y = 1040 - 880
====》 4y = 160
====》 y = 160 ÷ 4
====》 y = 40
Can someone help me please.
I will give brainliest to whoever gets it right.
PLZ HELP ME!! GUYS i need help on my homework!!
Answer:
The answer is 24
Step-by-step explanation:
Answer:
The answer is 24 or D
Step-by-step explanation:
Well, first you need to figure out the equation in these [ ].
[-5 (2-4) ÷ 2]
[-5 (-2) ÷ 2] ---> -5(-2) = -5 x -2
[10 ÷ 2]
[5]
Then, you need to complete the equation in these { }
{3+[5]} OR {3+5}
{8}
Then, you need to finish the equation!
{8} · 3 OR 8 x 3
24__________________________
Hope this helped!
If f(x)=x^2+x, find f(-3)
Answer:
f(-3) = (-3)^2 + (-3) = 9 - 3 = 6
Answer:
I believe the answer is 6
Step-by-step explanation:
1) If f(-3), x is equal to -3 ( I think )
2) f(x) = -3^2 + (-3)
3) f(x) = 9 - 3
4) f(x) = 6
The answer is f(x) = 6
See photo attached (NEED SOON)
Answer:
3 mStep-by-step explanation:
The formed triangles are similar and the ratio of corresponding sides is equal:
x/4 = 9/12x/4 = 3/4x = 3 mThe light source should be at 3 m height
Both triangles are congruent so
[tex]\\ \bull\sf\longmapsto \dfrac{x}{4}=\dfrac{9}{12}[/tex]
[tex]\\ \bull\sf\longmapsto 12x=36[/tex]
[tex]\\ \bull\sf\longmapsto x=3[/tex]
Light source should be at 3m
which is greater? -1 17/20 or -1 8/10
PLSSS HELP ASAP
PLSSS SHOW WORK ASWELL
Answer:
-18/10
Step-by-step explanation:
I think that is correct
Answer:
1 17/20
Step-by-step explanation:
if you × 8/10 it by 2 = 16/10
If the individual interior angle of a regular polygon is 120, what is the exterior angle.
Answer:
60
Step-by-step explanation:
Interior and exterior angle from a linear pair.
Let the exterior angle = x
x + 120 = 180
x = 180 - 120
x = 60
Absolute value of -2
0.052 x 8.17 Multiplying Decimals
(Answer and how to write it)
Answer:
0.42484
Step-by-step explanation:
place them on top of each other but the bottom one has to leave a space and put a zero in that space also go by the order of the decimal do not do 8.17 0.052 it will not give you the correct answer so they put it in a way to give you an answer. you should write it like this 0.052
x 8.170
_____
I hope this helps! If you can, can I have brainlest? I really want to level up.
Donna Forrester's gross pay is $72,500 a year. The state income tax is 6% of
taxable wages. Donna takes a married exemption of $4,000 for herself and her
husband. How much is withheld from her gross earnings for state income tax
for the year?
A.$4,350
B.$4,110
C.$4,590
D. $3,870
I have no idea to be honest with you
Answer:
Choice BStep-by-step explanation:
Cuz I'm smart :)
Hope this helps :]
pls make brainliest :3
and have an amazing day <3
Which of the following is 10 times what the 5 represents in 9,235?
plz help me i really need help these problems are really hard for me to understand so if anybody helps it would be highly appreciated
Answer:
51.5; the originStep-by-step explanation:
TranslationFor the translation find the distance between corresponding points of A and A'. It is 5 units.
DilationWe see the figures A' and A'' are symmetrical and the sides on the x-axis overlap. It means the center of dilation is the origin, the point (0, 0).
Find the scale factor by dividing the corresponding x- or y- coordinate of A'' to the one of A'.
Take points (-2, 0) of A' and (-3, 0) of A''.
The scale factor is:
k = -3/-2 = 1.5Leo is traveling to Canada for work. He is taking $2,400 with him that he wants to
convert to Canadian dollars. If the current exchange rate is 1 U.S. dollar is equal to
1.33 Canadian dollars, how many Canadian dollars will he have when he converts
his money?
2, 400 Canadian dollars
3,000 Canadian dollars
3,192 Canadian dollars
1,084 Canadian dollars
Answer:
C) 3,192 Canadian dollars
Step-by-step explanation:
$2,400 x 1.33 = $3,192
Suppose the interest rate is 4%. a. Having $200 today is equivalent to having what amount in one year? b. Having $200 in one year is equivalent to having what amount today? c. Which would you prefer, $200 today or $200 in one year? Does your answer depend on when you need the money? Why or why not?
(a) $200 today is equivalent to having $208 in one year with 4% interest rate.
(b) $192.31 today would be equivalent to $200 in one year with 4% interest rate.
(c) true
Explanation:
(a) since simple interest is given as:
I = p x r x t/100
Where p = the principal amount
r = interest rate
t = number of years
Now, from the question our principal is $200 since we are to calculate the interest on it, and our rate is 4% as obvious from the question and as well as our time is 1year. Substituting these to the interest formula we get:
I = 200 x 4 x 1/100
And that gives $8 as the interest, therefore in one year the amount we shall have will be: $200 + $8 = $208
(b) assuming we have 200 as the amount, we have now, we can get the principal we had last year at 4% interest with the following
A = p(1 + rt/100)
Now our amount is assumed to be $200 for 1year at 4% interest rate, therefore we have:
200 = p(1+4 x 1/100)
This gives
200 = p x 1.04
which gives
200/1.04 = p
p = $192.31(to the nearest cents)
(c) The statement is obviously true, because the amount we buy things today are more expensive than the amount we bought them in previous years, so having $200 today is preferable because the interest on it is just so small and would be a waste of resources.
Someone please hurry and answer number 4!!!! Will give brainliest
Answer:
25×2.50=62.5
62.5+12=74.5
hope that helps
Answer:
$74.50
Step-by-step explanation:
M = 2.50(f) + 12
M = 2.50(25) + 12
M = 74.5
A figure has been dilated from center O by a scale factor of r = 3/10 scale factor would magnify the dilated figure back to the original size?
Answer: The new scale factor needs to be 10/3
Explanation:
Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.
To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.
6th grade students took a survey on their favorite subject.
The ratio of students whose favorite subject was Science to
students whose favorite subject was Math was 3:5. If 238
more students picked Math as their favorite subject, how many
students picked Science as their favorite subject?
Using a system of equations, it is found that 595 students picked Science as their favorite subject.
For our system, we suppose that x is the number of students that picked science, and y is the number of students that picked math.
Ratio of science to math of 3:5, thus:
[tex]\frac{x}{y} = \frac{3}{5}[/tex]
Then
[tex]5x = 3y[/tex]
[tex]x = \frac{3y}{5}[/tex]
238 more students picked Math as their favorite subject, thus:
[tex]y = 238 + x[/tex]
[tex]y - \frac{3y}{5} = 238[/tex]
[tex]\frac{2y}{5} = 238[/tex]
[tex]y = \frac{238(5)}{2}[/tex]
[tex]y = 595[/tex]
595 students picked Science as their favorite subject.
A similar problem is given at https://brainly.com/question/21244414
10. Write an equation to find the
value of x.
Answer:
x = (180 - 68) / 2
Step-by-step explanation:
x = 56°
Answer:
56°
Step-by-step explanation:
(180° - 68°) ÷ 2 = 112° ÷ 2
= 56°
your welcome :)
NO LINKS OR ASSESSMENT!!!
Part 1: Domain and Range of Graphs
Domain:
- 5 < x < 5 or x ∈ (-5, 5)Range:
-5 < y < 5 or y ∈ (-5, 5)Function:
YES - passes the vertical line test#3Domain:
- 5 < x ≤ 5 or x∈ (-5, 5]Range:
-3 < y ≤ 2 or y ∈ (-3, 2]Function:
YES - passes the vertical line test#5Domain:
- 5 < x < 3 or x∈ (-5, 3)Range:
0 < y < 4 or y ∈ (0, 4)Function:
N0- doesn't pass the vertical line testSo what’s the easiest way to get the answer? 80 = 720 divided by?
Answer:
57,600
Step-by-step explanation:
720 * 80 = 57,600
Answer:
9
Step-by-step explanation:
You divide the answer with the first number and you'll get the answer, 9.
One angle of a triangle measures 112°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is = 180.
The congruent angles each measure
pls help
Answer:
Each of the congruent angles is 34
Step-by-step explanation:
A = 112 A is the given angle
A + x + x = 180 A + x + x = 180 All triangles have 180 degrees
112 + x + x = 180 Combine
112 + 2x = 180 Subtract 112 from both sides
112-112 + 2x = 180 - 112 Combine
2x = 68 Divide both sides by 2
2x/2 = 68/2
x = 34
Payton starts a lemonade stand for the summer. She thinks that she should be able to operate her business for 14 weeks. The table shows the expenses and revenue after 1 week.
Item Expenses Revenue
Cups $5
Lemonade $6
Ice $7
Income $45
Based on this, how much money will Payton make during the 14 weeks?
$__
Payton will make money after 14 weeks is $378.
What is income and expenses?Income is the money your business takes in and expenses are what it spends money on. Your net income is generally your revenue, or all the money coming into your business, minus all of your expenses.
For the given situation,
Item Expenses Revenue after 1 week
Number of Cups = $5
Number of Lemonade = $6
Number of Ice = $7
Total revenue, Income = $45
Formula to find the net income,
Net Income = Total Revenue - Total Expenses
⇒ Net Income = [tex]45 - ( 5+6+7 )[/tex]
⇒ Net Income = [tex]27[/tex]
Thus net income for 14 weeks = [tex]14[/tex] × [tex]27[/tex]
⇒ [tex]378[/tex]
Hence we can conclude that Payton will make money after 14 weeks is $378.
Learn more about income and expenses here
https://brainly.com/question/26313056
#SPJ2
can you please help, geometry question
Answer:
x = 15
y = 12
m < AED = 83°
m < DEC = 97°
Step-by-step explanation:
According to the given problem:
< AED = (6x - 7)°
< BEC = (4x + 23)°
< AEB = (8y + 1)°
< DEC = (5y + 37)°
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that < AED and < BEC are vertical angles, then it means that they have the same measure.
The same goes with < AEB and <DEC, they are also considered as vertical angles.
To solve for x:
< AED = < BEC
(6x - 7)° = (4x + 23)°
Subtract 4x from both sides:
6x - 4x - 7 = 4x - 4x + 23
2x - 7 = 23
Add 7 to both sides:
2x - 7 + 7 = 23 + 7
2x = 30
Divide both sides by 2 to solve for x:
2x/2 = 30/2
x = 15
To solve for y:
< AEB = <DEC
(8y + 1)° = (5y + 37)°
Subtract 5y from both sides:
8y - 5y + 1 = 5y - 5y + 37
3y + 1 = 37
Subtract 1 from both sides:
3y + 1 - 1 = 37 - 1
3y = 36
Divide both sides by 3 to solve for y:
3y/3 = 36/3
y = 12
To double check whether our values of x and y are correct, substitute these values into the established equality statements:
< AED = < BEC
(6x - 7)° = (4x + 23)°
[6(15) - 7]° = [4(15) + 23]°
(90 - 7)° = (60 + 23)°
83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).
< AEB = <DEC
(8y + 1)° = (5y + 37)°
[8(12) + 1)° = [5(12) + 37]°
(96 + 1)° = (60 + 37)°
97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).
Please mark my answers as the Brainliest if you find this helpful :)
Solve the following inequality: -3x > 6 or 2x + 3 > 9
Answer:
I think the first one is x < 2 and the second is x > 3
please help
the answer is not 16
Answer:
18
Step-by-step explanation:
Three consecutive integers have a sum of 78. Find the integers
Let the numbers be x, x+1 and x+2 .
Equation :-
=> x+(x+1)+(x+2)=78
=> x+x+1+x+2=78
=> 3x+3=78
Subtract 3 from both sides..
3x=75
Divide both sides by 3 .
x=25
The three consecutive integers are
x , x+1 and x+2..In the place of x replace 25
∴ 25 , 26 and 27 are the three consecutive integers.
Given : Three consecutive integers have a sum of 78. Find the integers
Solution : Let's assume that the variable be x
The first one be x itself. Now, as it's consecutive the number should be increased by 1. So, let the second one be x + 1. As we know again it will be increased by 1. Hence, the third one be x + 1 + 1 i.e. x + 2
So, we got all the three now let's proceed
The result is 78
x + x + 1 + x + 2 = 78 3x + 3 = 78Taking 3 as common on the RHS of the equation
3(x + 1) = 78 x + 1 = 78/3 x + 1 = 26x = 26 - 1 x = 251st number = x = 25
2nd number = x + 1 = 26
3rd number = x + 2 = 27
Solve 31-X + (2 x + 1)] = x - 1.
Answer:
x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)
Step-by-step explanation:
31 - X + (2x+1) = x - 1
or, 2x+1 = x - 1 - 31 + X
or, 2x - x = -1 -31 + X -1
or, x = -2 -31 + X
or, x = X - 33