Answer:
The number of times organism B's population is larger than organism A's population after 8 days is 32 times
Step-by-step explanation:
The population of organism A doubles every day, geometrically as follows
a, a·r, a·r²
Where;
r = 2
The population after 5 days, is therefore;
Pₐ₅ = = 32·a
The virus cuts the population in half for three days as follows;
The first of ta·2⁵ he three days = 32/2 = 16·a
The second of the three days = 16/2 = 8·a
After the third day, Pₐ = 8/2 = 8·a
The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;
P₈ = a·2⁸ = 256·a
Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times
Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.
A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. Find the height of the balance point of the blade.
Answer:
5.6 cm
Step-by-step explanation:
Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2
L = 1 cm
The y axis or the vertical length will be
L = sqrt ( [ 4-0]^2 + [0-0]^2)
L = Sqrt(16)
L = 4 cm
Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
That is,
Thickness = 2 × 4 = 8 mm
The height of the balance point of the blade will be;
Height = 8 mm + 4 cm + 8 mm
Height = 0.8 + 4 + 0.8
Height = 5.6 cm
Note that the thickness will be added to both the top and the bottom of the blade.
The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)
Answer:
$937
Step-by-step explanation:
P(1-20/100)=750- 1 is the object the you take away the percentage that is in
fraction form
P(1-.2)=75-take it from fraction form to decimal form
P(.8)=750-this is the final product of the equation above
750/.8-Take the current price and the decimal and divide
75000/80- take the .8 and add two 0's to get the whole accurate amount
937.5-Price before the price fell
Sorry I'm not the best at explaining things hoped this helped!
(9mn-19^4n) - (8m^2+12m^4n+9mn
Answer:
-19n^4 - 8m^2 - 12m^4n
Step-by-step explanation:
8m^2 + 12m^4n + 9mn
-
19n^4 9mn
------------------------------------------------------------------------
-19n^4 - 8m^2 - 12m^4n
Answer:
The answer is B.) -31m^4n-8m^2
A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
Answer:
312.7 in^2Step-by-step explanation:
This problem is on the mensuration of flat shapes, sectors and arc.
we know that the area of a sector is given as
A=(∅/360)*πr^2
Given that the length of the wiper R=24 in
and the length of the blade r= 16in
To find the area of the wiped surface we only require the length of the blade as the radius
The area of the wiped surface is given as= (140/360)*3.142*16^2
A= 0.3888*3.142*256
A=312.7 in^2
Which situation can be represented by the inequality 3.35x + 25 < 6.75x + 5?
Answer:
x >100/17
plz mark brainliest
what is the value of x? enter your answer in the box.
Answer:
84
Step-by-step explanation:
The interior sum of a pentagon is 540 degrees. If you add up all the given angles together, then it will add up to be 456. subtract 456 from 540, and you'll get your answer, which is 84.
Jacob makes $3600 a month, he spends 40% of his income on his mortgage. How much money does he spends? A. $400 B. $1440 C. $440 D. $820
Answer:
the answer is b- 1440
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
6th grade math pls help
Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))
Answer:
A. 1
B. 2
C. 2
D. 0
Hope it helps :-)
how to factorise 30+b-b²
Hey there!☺
[tex]Answer:\boxed{-(b-6)(b+5)}[/tex]
[tex]Explanation:[/tex]
[tex]30+b-b^2[/tex]
Factor 30+b-b^2 by grouping.
[tex]-(b-6)(b+5)[/tex]
Hope this helps!☺
Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; y-intercept = 5
What is the equation of the line?
Answer:
y = -9x +5Step-by-step explanation:
Slope = -9
y-intercept = 5
In [tex]y = mx +b[/tex] ;
m = slope
b = y-intercept
So just replace -9 for m and 5 for b in slope intercept form;
[tex]y = -9x +5[/tex]
Find the slope, if it exists, of the line containing
(-8,-5) and (-19,- 13)
Answer: 8/11
Step-by-step explanation:
To find slope you can use this formula:
y2-y1/x2-x1
substitute the values with the ones from the 2 points
-13-(-5)= -8
-19-(-8)=-11
you then divide -8/-11
and you get 8/11
8/11 is the slope of those 2 points.
Which number is prime?
49
51
53
55
Answer:
53
Good luck with your quiz/test :D
Answer:
53
Step-by-step explanation:
Use the grouping method to factor the polynomial below completely.
x2 – 3x2 + 5x - 15
A. (x+3)(x - 5)
B. (x - 3)(x+5)
O C. (X - 5)(x+3)
O D. (2 + 5)(x-3)
Step-by-step explanation:
You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.
5x-15
can be simplified to 5(x-3)
x²-3x
can be simplified to x(x-3)
Then u rewrite it (5 + x)(x - 3)
Need help please ASAP ! The options for the first blank is A.close B.open price C.volume the options for second blank is A.day B.month
99 is 36% of what number?
Answer:
257
Step-by-step explanation:
36% of 275 is 99. 100% of 275 is 275, therefore 36 percent of 275 equals 99
You intend to estimate a population mean μ with the following sample. 78.4, 85.3, 50, 68.4, 59.4, 73.7, 73.2, 47.4, 40.5
You believe the population is normally distributed.
Find the 99.5% confidence interval.
The answer must be done as an open-interval accurate to 2 decimal places.
Answer:
(17.75, 110.32)
Step-by-step explanation:
The sample mean is 64.03, and the standard deviation is 15.43.
The population is normally distributed, so 99.5% confidence is ±3 standard deviations.
The confidence interval is therefore:
(64.03 − 3 × 15.43, 64.03 + 3 × 15.43)
(17.75, 110.32)
The 99.5% confidence interval will be equal to (17.75, 110.32).
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given data provided by the question,
With a standard deviation of 15.43 and a sample mean of 64.03, respectively.
Since the population has normally distributed, 99.5% probability lies within a range of three standard deviations.
Consequently, the confidence interval is:
= (64.03 − 3 × 15.43, 64.03 + 3 × 15.43)
= (17.75, 110.32), this is up to 2 decimal places.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ3
If there are 7533 students at Rocky Valley College and 1/3 of the students take speech, how many students take speech at Rocky Valley College?
Answer:
no of student take speech at college = 1/3*7533=2511
Step-by-step explanation:
Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?
Answer:
18.56
Step-by-step explanation:
6.4% of 290 is 18.56
you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)
this is a segment addition practice. can someone please help me find the length indicated?
Answer:
3
Step-by-step explanation:
Points C, D, and E are collinear.
Segment CD = 8
Segment CE = 11
Segment DE = ?
According to the segment addition postulate:
[tex] CD + DE = CE [/tex]
[tex] 8 + DE = 11 [/tex] (substitution)
Subtract 8 from both sides
[tex] 8 + DE - 8 = 11 - 8 [/tex]
[tex] DE = 3 [/tex]
The missing lenght indicated = 3
The temperature in Chicago was 12°F this
morning, while the temperature in Minneapolis
was -8°F. What is the difference between the
two temperatures?
Answer:
4 °F
Step-by-step explanation:
15 – 2x=3x
the solution is x =
Answer:
x=3
Step-by-step explanation:
15 – 2x=3x
Add 2x to each side
15 – 2x+2x=3x+2x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
Answer:
3
Step-by-step explanation:
15 - 2x = 3x
Add 2x to both sides
15 = 5x
Divide 5 to both sides
3 = x
Best of Luck!
Which interval for the graphed function has a local
minimum of 0?
[-3, -2]
[-2, 0]
[1, 2]
[2, 4]
Answer:
the answer is D i hope this help
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Solve -2a -5 > 3 Which graph shows the solutions?
Answer: a< -4 D
Step-by-step explanation:
Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.”
Which variable expressions could Elaina have written?
Select each correct answer.
Answer:
C and D are both correct
hope that helps
here are the answer choices if anyone needs it :)
4 ÷ n
14n
n4
4n
In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD,
m∠CBD, and m∠ABC.
Answer:
37, ABD = CBD = 44 degrees, and ABC = 88 degrees
38. ABD = CBD = 24 degrees, and ABC = 48 degrees
39. ABD = CBD = 65 degrees, and ABC = 130 degrees
40. ABD = CBD =67 degrees, and ABC = 134 degrees
Step-by-step explanation:
Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:
37.
6 x + 14 = 3 x + 29
3 x = 19 - 14 = 15
x = 15/3
x = 5
then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees
CBD must equal ABD , so CBD = 44 degrees
And the total angle ABC = 88 degrees
38.
3 x + 6 = 7 x - 18
24 = 4 x
x = 24/4 = 6
Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees
39.
- 4 x + 33 = 2 x + 81
- 6 x = 81 - 33
-6 x = 48
x = - 48/6
x = -8
Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees
The also CBD = 65 degrees, and ABC = 130 degrees
40.
8 x + 35 = 11 x + 23
35 - 23 = 11 x - 8 x
12 = 3 x
x = 12/3
x = 4 degrees
Therefore:
ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.
Then also CBD = 67 degrees, and ABC = 134 degrees
Using the origin as a starting point, explain how you would plot the point (-5, 3).
The area of a rectangular mirror is 11 11 16 square feet. The width of the mirror is 2 3 4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit
How would you do this question?
Answer:
1) ∫ x² e^(x) dx
4) ∫ x cos(x) dx
Step-by-step explanation:
To solve this problem, eliminate the choices that can be solved by substitution.
In the second problem, we can say u = x², and du = 2x dx.
∫ x cos(x²) dx = ∫ ½ cos(u) du
In the third problem, we can say u = x², and du = 2x dx.
∫ x e^(x²) dx = ∫ ½ e^(u) du
Evaluate 4-0.25g+0.5h when g=10 and h=5