Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
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Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?
Answer:
The median increased more
Step-by-step explanation:
Given that:
Scores on last 15 :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72
Obtaining the range, mean, median and mode from the data above :
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84
Range = 84 - 64 = 16
Mode = 72 - frequency of 3)
Mean = ΣX / n where n = sample size
Mean = 1140 / 15 = 76
Median = 0.5(n+1)th term = 0.5(16)th term =
8th term = 75
A score of 80 on each of next 3 rounds :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84
Range = 84 - 68 = 16
Mean = ΣX / n where n = sample size
Mean = 1380 / 18 = 76.67
Median =0.5(n+1)th term = 0.5(19)th term =
9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5
3x + y = 15 What is the solution of this system of equations? (5x+2y=-4
Answer:
x=34 y=-87 (34,-87)
Step-by-step explanation:
3x+y=15 rewrite to solve for y -----> y=15-3x
5x+2y=-4
Plug y=15-3x into 5x+2y=-4
So, 5x+2 (15-3x)=-4
Distribute: 5x+30-6x=-4
Combine like terms: 30-x=-4
Solve for x -x=-34
Solve for x x=34
Then, to solve for y, plug "x" into 3x+y=15
So, 3(34)+y=15
Distribute: 102+y=15
Solve for y y=-87
Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?
Answer:
85100
Step-by-step explanation:
the decimal 0.85 can be converted to the fraction 85100 , by defintion of a decmial.
find the missing angles
Answer:
112 and 68 (same as matching above ones)
Step-by-step explanation:
-8(6x - 7y) - (24x - 3y)
Answer:
-72x + 10y
Step-by-step explanation:
First apply the Distributive Property of Multiplication:
-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.
Combining like terms, we get -72x + 10y
Answer:
-21x+53y
Step-by-step explanation:
learned it
Hellllp please asap
270 students in an elementary school. There are 5 boys for every 4 girls. How many boys are there in school
Answer:
150
Step-by-step explanation:
Determine whether the mapping diagram shown below represents a
function
27 points
Answer:
Not a Function
Step-by-step explanation:
Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest
6/ PLEASE HELP ME ASAP.
Answer:
40
Step-by-step explanation:
In the minute number 2, you can see the intersection point in 40 packs.
Best regards
draw a flowchart to calculate the average from 25 exam scores
Answer:
?
Step-by-step explanation:
What is the slope of the line that passes through the points E(5, 1) and F(2-7)?
12 Points)
Answer:
8/3
Step-by-step explanation:
the slope is 8/3 i am sure
can anyone help me find the answers please !!
Solve for EG. A) 18 B) 12 9 D) 6
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
BRAINLIEST PLEASE
I REALLY NEED HELp!!!!!!!!
Retail Price Quantity Total Price
Twister Pen .35 * 2 = $0.70
Mini Fish Eraser .50 * 1 = $0.50
Happy Cap Eraser .05 * 5 = $0.25
Erasing Grip .35 * 3 = $1.05
---------
Subtotal .7 + .5 + .25 + 1.05 = $2.50
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Retail Price Quantity Total Price
Twister Eraser .35 * 3 = $1.05
Astral Wonders Pencils .20 * 4 = $0.80
Criss Cross Critters .15 * 2 = $0.30
Traction Mechanical
Pencil .35 * 2 = $0.70
Muchin Mike Sharpener .50 * 2 = $1.00
----------
Subtotal 1.05 + .8 + .3 + 0.7 + 1 = $3.85
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Best of Luck!
Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?
Answer:
n = -19/14
Step-by-step explanation:
Please transcribe this into a symbolic equation:
26n + 4 = 12n - 15
Then 14n = -19, or n = -19/14.
Write an expression that represents the product of q and 5 divided by 2. Plz Help Me
Answer:
(5q)/2Step-by-step explanation:
Since we want the q x 5 to be done first, we must use parentheses.
(5q)/2 (5q is a shorthand way to wrote 5 times q)
Which equation is a point slope form equation for line AB?
y+1=−2(x−6)
y+6=−2(x−1)
y+2=−2(x−5)
y+5=−2(x−2)
Answer:
The equation of the line would be y + 6 = - 2(x - 1).
3m + 3
m= -7
A: -18
B: 24
c: -12
Answer:
Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.
In the least-squares regression line, the desired sum of the errors (residuals) should be:_____.
a) maximized.
b) 1.
c) positive.
d) negative.
e) zero.
In the least-squares regression line, the desired sum of the errors (residuals) should be: zero
What is Number system?A number system is defined as a system of writing to express numbers.
The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.
An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.
Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible
Hence in the least-squares regression line, the desired sum of the errors (residuals) should be: zero
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Can someone please help with writing this out as equation?
The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.
What is the y intercept of y =4x
Answer:
origin of the graph (0)
Step-by-step explanation:
because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)
Answer:
a, b, d. Yes c. NoStep-by-step explanation:
a. 6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
Yesb. 10 * 53 -4*53 = (10 - 4)*53 = 6*53
Yesc. 6 * 50 + 3 = 303
Nod. 6 * (50 + 3) = 6*53
YesAnswer:
A, B, D = Yes
C = No
6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
10 * 53 -4*53 = (10 - 4)*53 = 6*53
6 * 50 + 3 = 303
6 * (50 + 3) = 6*53
Enter the value for x
that makes the equation 16=−4(x−1)+4
true.
Answer:
-2
Step-by-step explanation:
16=-4x+4+4
16=-4x+8
4x=8-16
4x=-8
x=-2
Tthe required value of x is -2 for which the given expression is true.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2
Thus, the required value of x is -2 for which the given expression is true.
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Help me fast pleasee
Answer:
y=3x
Step-by-step explanation:
hope it helped
Solve for x.
-x/3= 2
A.x = -6
B.x = 6
C.x = -1
Answer:
I thinK b dont blame me if wrong
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The answer is negative 6.
Find the 53rd term of the following arithmetic sequence.
3, 12, 21, 30, ...
Answer:
471
Step-by-step explanation:
using the equation 9n-6 and replacing the n with 53 you would get 471.
check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys.
Answer:
YES
Step-by-step explanation:
4(Z-3)=16
4Z-12=16
+12 +12
4Z=28
Z=7
Answer:7
Step-by-step explanation:
4(z-3)=16
4z-12=16
4z=28
4z/4=28/4
z =7
Where is the blue dot? Fill in the blank
Answer:
-19
Step-by-step explanation:
It's every 3 numbers because -7 would be between -10 & -4
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%