Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours
PLEASE HELPMME WITH THIS QUESTION
Answer:
12
Step-by-step explanation:
Why are there two different types of area formulas for parametric equations?
Step-by-step explanation:
The first equation is the surface area of a curve that's been rotated about the x-axis.
The second equation is the area between a curve and the x-axis.
Jed drives 60 miles from Trenton, New Jersey, to Newark, New Jersey. About how many kilometers is that?
(1 mile ≈ 1.6 kilometers)
96. Explanation: you have to multiply 1.6 by 60.
Based on the graph below, which sequence of transformations is needed to carry ABCD onto its image A'B'C'D'?
Answer:
D: A 90 degree clockwise rotation about the origin and then a reflection across the line y=x
Step-by-step explanation:
Your welcome!!!
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
Part III: The Olympic triangle (22 points)
Draw a sketch of the short course triangle below, labeling the points A, B, and C. Don’t draw it on your master map yet! (3 points)
Answer:
thank you!!!!!!!
Step-by-step explanation:
The course triangle can be used to determine the transition of course stages from one to the other with labels as in the image. The angle <ABC and <BCA depends on the type of triangle we draw. Here it is 60° each.
What is a course triangle ?The three main elements of the course design triangle are objectives, assessments, and instruction. All three course components must be closely correlated with one another and take into account the course setting to produce a cogent learning experience.
The Olympic triangle is a sailing course that is frequently used in racing dinghies, especially at important regattas like State, National, and World Titles, and it was also used during the Olympics.
When looking up the course towards the top mark, the start line is frequently tilted 5 to 10 degrees to the port end, or the left end, as opposed to how the start line would be if it were parallel to the wind.
To windward of the top mark, with a finishing mark and the committee boat serving as either end of the line, is the most adaptable location to establish the finishing line.
Find more on course triangle:
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I need your help! there’s a photo above ^^
Answer:
1. c 2. No, its not the original figure. Its 270 degree turn.
Step-by-step explanation:
Answer:
1.) C 2.) choice d flipped left to right.
A researcher is testing the claim that the average university student works less then 15 hours a week. To test this claim she surveys a random sample of 20 undergraduate students who reported an average of 13.5 hours a week of work. We will assume that the population is normally distributed with a standard deviation of 5 hours per week.
Test this claim at the alpha of 0.02 by calculating the z-score and comparing it to the critical z-score (z subscript c r i t end subscript equals negative 2.05 right parenthesis.
You have the standard error of the mean, so solve for the z-score.
Answer:
no
Step-by-step explanation: pick up the phone baby i know your home
what i do wrong
?????
Answer:
just put 10 not x =10
Step-by-step explanation:
yeet yeet
The ellipse is centered at the origin, its major axis is horizontal, with length 8; the length of its minor axis is 4;
Consider we need to find the equation of ellipse.
Given:
Ellipse is centered at the origin.
Major axis is horizontal, with length 8.
The length of its minor axis is 4.
To find:
The equation of ellipse.
Solution:
Major axis is horizontal, so standard form of ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.
Ellipse is centered at the origin. So, h=0 and k=0.
Major axis is horizontal, with length 8.
[tex]2a=8[/tex]
[tex]a=4[/tex]
The length of its minor axis is 4.
[tex]2b=4[/tex]
[tex]b=2[/tex]
Substitute h=0, k=0, a=4 and b=2 in equation (i).
[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]
Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].
Tommy, Joel, and garret shared a supreme pizza from pizza kingdom. Tommy ate 3/8
Answer:
I would love to answer this question but i dont think you wrote out the whole thing.
Step-by-step explanation:
A truck is carrying 9 cars weighing an average of 4,000 pounds each. What is the total weight in tons of the cars on the truck
Answer:
18 tons
Step-by-step explanation
First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.
what is the missing number in the
sequence -10,-6, -2,_ 6, 10?
Answer:
It would be a positive 2.
Step-by-step explanation:
This is because if you start with -10 and add 4, the number 2 would go in the blank. Also if you start at positive 10 you just subtract 4 and the number 2 would still go in the blank.
Hope this helps!
Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
Find the equivalent number
Answer:
2
Step-by-step explanation:
you make 3⁴ into 12 and 3² into 6 which makes it 12/6 & 6 times 2 is 12 so it would be 2
How do you solve
8.4-6.8=-3.2y+16.4
Answer:
y = 4.625
Step-by-step explanation:
Subtract 16.4 from both sides and collect terms.
8.4 -6.8 -16.4 = -3.2y +16.4 -16.4
-14.8 = -3.2y
Divide both sides by -3.2.
-14.8/-3.2 = (-3.2y)/-3.2
4.625 = y
The solution is y = 4.625.
Answer:
y=4.625
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Two dice are rolled. What is the probability that the sum of the numbers rolled is either 4 or 9? Express your answer as a fraction in lowest terms or a decimal rounded to
the nearest millionth.
Answer:
1/4
Step-by-step explanation:
There are 36 possible combinations. Of those 36, the ones that add up to either 6 or 9 are:
1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3
There are 9 combinations that add up to either 6 or 9. So the probability is 9/36, or 1/4.
emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. how much does emelia's job pay in a day when she works 5 and a half hours? write an expression and evaluate for 5 and a half hours.
Answer:
8.74(5)+3.50=47.20
Step-by-step explanation:
She earns $47.20 that day
$51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
What is Expression?An expression is combination of variables, numbers and operators.
Given emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job
We need to find how much does emelia's job pay in a day when she works 5 and a half hours
Let us write the given data in the form of expression.
8.74x+3.50
Now for 5 and half hours we have to calculate
8.74(5.5)+3.50
48.07+3.50
51.57
Hence, $51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
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Which of the following is an equivalent form of the compound inequality -33> -3x - 6> 6
Answer:
21
Step-by-step explanation:
One hundred minus
six times x is equal to
twenty-seven
What is algebraic expression?
Answer:
100 - 6x = 27
Step-by-step explanation:
Percent decrease from 275 to 242
.
क. गाय
(D द्रव्यवा चक संज्ञा का उदाहरण कौन सा है?
ख. दूध क. गाय
ग. पंखा
घ. सेना।
कौन सा शब्द समूहवाचक संज्ञा नहीं हैं?
फ. भीड़ख ख. कक्षा
ग. सेना
घ. चिड़िया ।
6 ताजमहल आगरा में स्थित है। रेखांकित शब्द की
संजा बताइए?
क. व्यक्तिवाचक संज्ञा ख. जातिवाचक संज्ञा ।
ग. भाववाचक संज्ञा घ. समूहवाचक संज्ञा ।
Answer:
I dont know how to read hindi can u pls translate it into English
Devon made a scale drawing of a triangle. He used a scale factor of [tex]\frac{1}{4}[/tex] to draw the new triangle. How does each side of the new triangle compare to the original?
A) Each side of the new triangle is [tex]\frac{1}{4}[/tex] the length of each side of the original
B) Each side of the new triangle is [tex]\frac{1}{12}[/tex] the length of each side of the original
C) Each side of the new triangle is 4 times the length of each side of the original
D) Each side of the new triangle is 12 times the length of each side of the original
Answer:
D
Step-by-step explanation:
Step-by-step explanation
Answer: D:))
I took the test
Need help ASAP step by step plz 14 points :)
Answer:
39
Step-by-step explanation:
it’s just simple multiplication and addition
Help!
How to get over a huge crush
Answer:
there are cute boys on Tik-tok or you can try and think about something happy
Step-by-step explanation:
You baked a total of 270 cookies for your school using three shapes:
stars, circles, and hearts. You have four times as many stars as
circles. The number of hearts is ten less than five times the number
of circles. How many hearts are there?
Answer: They are only 5 heart remaining.
Step-by-step explanation:
i will give brainliest solving x
Answer:
6
Step-by-step explanation:
Write a decimal equivalent to 9/20 (15 points)
Convert these numbers from standard form to scientific notation 1. 31,560,000 =
Answer:
Step-by-step explanation:
31,560,000 = 3.156 x 10^7
What is the solution to the system of equations?
3x+10y=-47
5x - 7y=40
O (1.-5)
O (1,5)
0 (-1,-5)
0 (-1,5)
Answer:
x=1 ,y=-5
Step-by-step explanation:
3x + 10y = 47
5x - 7y = 40
____________
21x + 70y = 329. equ 1
50x - 70y = 400. equ 2
subtract equ 1 from 2
=71x = 71
divide both sides by the 71
71/71 = 71/71
x = 1
_________
to find y
substitute x into either equ 1 or equ 2
am using equ 2
5x - 7y = 40
5(1) - 7y = 40
5 - 7y = 40
7y = 5 - 40
7y = -35
divide both sides by the coffecient of y
7y/7 = -35/7
y = - 5