Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
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10^7 is how many times as large as 3.10^3
Answer:
333831
Step-by-step explanation:
Answer:
10^7 is 10,000,000
3 x 10^3 is 3000
Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000
& you’ll get 3333.3
Step-by-step explanation:
Help plsss 10 points
pls help math pls pls
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
[tex](5^{3})^{-3}[/tex] pls
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men
How do I find RS? I've been having great trouble with questions like this recently.
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
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what is the area of this rectangle?
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).
Answer:
[tex](f-g)(x)=-4x^2+10x[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]
Distribute:
[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]
Rearrange:
[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]
Combine like terms. Hence:
[tex](f-g)(x)=-4x^2+10x[/tex]
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
3.1 x 22 1/2 = 69.75 rounded is 70
What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4
Answer:
4
Step-by-step explanation:
each term is 4 times the previous term
the common ration is 4
Answer:
r = 4
Step-by-step explanation:
The common ratio r of the geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
Ranking brainliest if correct :)) thanksss
Answer:
Y=40 X=75
Step-by-step explanation:
i think im not 100% on that, been a long time since i did stuff with triangles
Answer:
gdjksbdifkfnfuwiaksujdbf
what are ascending number's
Answer:
Ascending order
Step-by-step explanation:
Ascending numbers are numbers that begin from smallest to biggest.
PLEASE HELP I NEED IT REALLY FAST!!!!
The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
find the hight of the tree to the nearest hundredth of a meter
Answer:
4.12m
Step-by-step explanation:
(distance of whole shadow - distance of Aisha from tree)
17.95-12.5=5.45m
17.95/5.45=3.29...(scale factor)
3.29...*1.25=4.12m(to the nearest hundredth)
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
solve for q: plz help
Answer:
-0.67 rounded to hundredths
Step-by-step explanation:
3×(q + 4/3) = 2
q + 4/3 = 2/3
q = -2/3 = -0.666666666666...
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)
Answer:
I think it is k(2,5) or k'(-2, -5
Step-by-step explanation:
Hope This Helps Have A Good Day
70% sure that it is K(2,5)
Which statement describes why the system has two solutions?
add 4312base5 3444base5 qunary number please add qunary
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
Please give me the answer and show me how you solved it
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
Select the correct answer. Which graph represents the solution to this inequality? A. B. C .
Answer: C
Step-by-step-explanation: Given
- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
[tex]-3,5,13,21...[/tex]
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
[tex]-3,5,13,21...[/tex]
The difference between two consecutive terms are:
[tex]5-(-3)=8[/tex]
[tex]13-5=8[/tex]
[tex]21-13=8[/tex]
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get
[tex]a_n=-3+(n-1)8[/tex]
[tex]a_n=-3+8n-8[/tex]
[tex]a_n=8n-11[/tex]
Putting [tex]n=47[/tex], we get
[tex]a_{47}=8(47)-11[/tex]
[tex]a_{47}=376-11[/tex]
[tex]a_{47}=365[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.
In a survey of 2,700 people who owned a certain type of car, 954 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35.333333333...%
Step-by-step explanation:
954/2700 = 35.33333333333333...%
You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.
Anyway, hope this helps.
Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______
Answer:
Volumen A = 30000 cm³
Volumen B = 35000 cm³
Volumen C = 72000 cm³
Step-by-step explanation:
a) Volumen A
Largo = 50 cm, Ancho = 30 cm Alto = 20 cm
Volumen = Largo × Ancho × Alto
= 50 cm × 30 cm × 20 cm
= 30000 cm³
b) Volumen B
Largo = 35 cm, Ancho = 20 cm Alto = 50 cm
Volumen = Largo × Ancho × Alto
= 35 cm × 20 cm × 50 cm
= 35000 cm³
c) Volumen C
Largo = 40 cm, Ancho = 60 cm Alto = 30 cm
Volumen = Largo × Ancho × Alto
= 40 cm × 60 cm × 30 cm
= 72000 cm³
