Answers
Answer:
Step-by-step explanation:
A
Answer is 5/4x - 2
Related Questions
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 16 hours. Write a function showing the number of bacteria after tt hours, where the hourly growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per hour, to the nearest hundredth of a percent.
Answers
Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that [tex]P(16) = 2P(0)[/tex]. We use this to find r.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^{16}[/tex]
[tex](1+r)^{16} = 2[/tex]
[tex]\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{16}}[/tex]
[tex]1 + r = 1.0443[/tex]
[tex]r = 1.0443 - 1[/tex]
[tex]r = 0.0443[/tex]
The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that [tex]P(0) = 80[/tex].
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 80(1+0.0443)^t[/tex]
[tex]P(t) = 80(1.0443)^t[/tex]
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.
Answers
Answer:
10.8°degrees
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤
there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?
Answers
Answer:
45
Step-by-step explanation:
100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45
How many
sixths
are
there in (a) one whole?
(b) Two wholes?
Answers
Answer:
(b) 2 / (1/6) = 2 * (6/1) = 12
(a)There are six sixths in a whole. In terms of numbers, 6/6 = 1.
Answer:
6 sixths in one whole and 12 sixths in 2.
Students were drawing numbers for the school talent contest. The
following numbers were left:
3 | 4 | 10| 21 | 23|
36| 42| 45| 46| 51|
52| 54| 62| 71| 74|
75| 86| 90| 100|
What is the probability the next person in line will draw a number divisible
by three?
Answers
Answer:
9/20 is your answer
Step-by-step explanation:
Pleaseee helppp due in 12 minutes!!
Answers
Answer:
c(30*6)+(30*7)
Step-by-step explanation: an example of distributive property:
6(17)
6(10+7)
6(10)+6(7)
=60+42
=102
That's an example now use it with 37 and 6
37 and 6
=6(37)
=6(30)+6(7)
=180+42
=222
(Kinda need help ASAP)
a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
A(n) 2 of Spades?
Hearts or Clubs?
A number smaller than 7 (counting the ace as a 1)?
Answers
Answer:
Plzzzz answer fast......
which scatterplot most likely has a line of best fit represented by y=-2x-1?
NO LINKS PLS
Answers
Answer:
The answer to your question is the letter C
Answer:
I think it is c
Step-by-step explanation:
$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answers
Answer:
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that [tex]P = 650, r = 0.086, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 650(1 + \frac{0.086}{12})^{12t}[/tex]
[tex]A(t) = 650(1.0072)^{12t}[/tex]
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
At a sale this week, a table is being sold for $426. This is a 29% discount from the original price. What is the original price?
Answers
Answer:
$600
Step-by-step explanation:
Let x = og price
x - 0.29x = 426
0.71x=426
÷0.71 ÷0.71
x = 600
5) A rectangular prism has a width of 2 cm, a height of 5 cm and a depth of 3 cm. What is the volume of the prism
Pls help ASAP!!!
Answers
Answer:
30 cm^3
Step-by-step explanation:
for find the volume we have to multiply the three numbers:
V = 5 x 2 x 3 = 30 cm^3
Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is .2%. Suppose now that you want to find the probability that at least 1 is broken when twelve diamond cutters are selected at random. Choose the option below that best answers how to do this question. Let X be the discrete random variable that represents the number of breaks. Assume a binomial distribution.
a. do (.998)^12 Ob)
b. do 1 – [(-998)^12] c)
c. calculate P(X=1) + P(X=2) +...+ P(X=12) using the binomial formula or an individual table in excel d)
d. calculate the P(X31) using the binomial formula or a cumulative table in excel e)
e. both b and care correct f)
f. both c and d are correct
Answers
Answer:
calculate P(X=1) + P(X=2) +...+ P(X=12) using the binomial formula or an individual table in excel
calculate the P(X ≥ 12) using the binomial formula or a cumulative table in excel
Step-by-step explanation:
For a binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = number of trials = 12 ; x = number of successes
p = probability of success = 0.2% = 0.002
1 - p = 1 - 0.002 = 0.998
Probability that atleast 1 is broken ;
p(1) + p(2) + p(3) +... + p(12) ;
This can be calculated by summing the values obtained using the binomial formula or in excel.
Alternatively, using the binomial formular or excel, the cumulative probability could be obtained as P(x ≥ 1)
Find 80% of 75 using a fraction.
Answers
I hope it’s helps
Find the length of each trapezoid.
Answers
Answer:
EF = 34
Step-by-step explanation:
(9x + 23)/2 = 6x + 4
9x + 23 = 12x + 8
3x = 15
x = 5
EF = 6(5) + 4 = 34
7. Mr. Mathewson increased the amount of weight he
lifted each morning from 80 pounds to 90 pounds. By
what percentage did Mr. Mathewson increase the
amount of weight he lifted?
O A. 12.5%
B. 10%
O C. 15%
O D. 18.5%
will mark brainlyest
Answers
9514 1404 393
Answer:
A. 12.5%
Step-by-step explanation:
The percentage increase is found from ...
pct increase = (increase)/(base amount) × 100%
= (90 -80)/80 × 100% = 1/8 × 100% = 12.5%
Mr. Mathewson increased the amount of weight by 12.5%.
Answer:
A 12.5%
Step-by-step explanation:
Which method would determine the volume of the prism shown below? 2 - cm 4 2 C 2 cm 5 cm 10 unit cubes and 10 one-quarter cubes gives 10+ 10x 4 as the volume. ox A 에 0 20 unit cubes and 10 one-quarter cubes gives 20+ 10x 4 as the volume. O 20 unit cubes and 10 one-quarter cubes gives 20+ 2 as the volume.
Answers
Answer:
A
Step-by-step explanation:
Answer: It’s A
Step-by-step explanation:
please help i am giving away brainliest
An aquarium has the dimensions shown in the diagram. What is the volume of the aquarium?
A. 3240 in.3
B. 432 in.3
C. 540 in.3
D. 6480 in.3
no dam links
Answers
Answer:
6,480in.3
Step-by-step explanation:
Hope this helps!
The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
What is rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
What is volume of rectangular prism?The volume of a rectangular prism is the space that is inside it .
The volume of the rectangular prism, V = Length * Breath * Height
According to the question
Length of the aquarium = 36 in.
Breath of the aquarium = 12 in.
Height of the aquarium = 15 in.
As aquarium is a rectangular prism
volume of the aquarium, = Length * Breath * Height
= 36 * 15 * 12
= 6480 [tex]in. ^{3}[/tex]
Hence, The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
To know more about rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
What is the area of the triangle 2,7,5-by the time you answer this I might already be done with this beck add all to slow to answer it-no hate tho :;
Answers
Answer:
5 units squared
Step-by-step explanation:
To find the area of a triangle, the formula is base * height/2
the base of this triangle is 2 while the height is 5
area = (2*5)/2
area = 5 units squared
HELP ASAP!! I will give brainlist! Thanks!
Answers
Answer:
C. Addition Property of Equality
Step-by-step explanation:
Given,
x - 6 = 4
To find x, the addition property of equality is applied by adding 6 to both sides.
Thus:
x - 6 + 6 = 4 + 6
x = 10
6. Find the Volume of the Triangular Prism below:
A) 2145 ft to the 3 power
B) 1072.5 ft to the 3 power
C) 728 ft to the 3 power
D) 900 ft to the 3 power
Answers
Answer:B 1072.5 ft^3
Step-by-step explanation: The steps are in the picture
please help thanks
Answers
Answer:
7
Step-by-step explanation:
It adds 2 each time to the function. Y-Intercept is 1, so you add 2 three times.
2*3=6
6 plus the starting dog (1)= 7
Find an equation of a line of best fit shown in the figure given below.
Answers
Answer:
C
Step-by-step explanation:
So you can use two points on the line to find the gradient. I used K and G. B and D could've been easily eliminated since the line goes through the origin (0,0) so there's no y - intercept or b value.
M = (Y-y)/(X-x)
M = (8-4)/(14-7)
M = 4/7
And the equation of a line is y = mx + b. There's no b so it's just y = (4/7)x
A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.
Determine whether each statement about the leaf is true. Select True or False for each statement.
True False
The initial height of the leaf is 18 feet.
The leaf falls at a rate of foot every 1 second.
The leaf is 3 feet above the ground after 6 seconds.
Answers
Answer:
The initial height of the leaf is 18 feet. (False)
The leaf falls at a rate of foot every 1 second. (False)
The leaf is 3 feet above the ground after 6 seconds. (True)
Please help me and no linkd
Answers
Answer:
Um what’s the question?
Step-by-step explanation:
Answer:
*links* hope this helped!
Step-by-step explanation:
Please help me no links
Answers
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answers
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles
downstream. How fast is the current?
Answers
Answer:
The speed of the current is 3 miles per hour
Step-by-step explanation:
The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r
Let x = speed in still water
Let c = speed of the current
The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.
Distance Rate Time
Upstream x − c
Downstream x + c
The distance column with the numbers from the problem and the value for speed in still water for x.
Distance Rate Time
Upstream 4 5 − c
Downstream 16 5 + c
The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time
Upstream 4 5 − c
5 − c
4
Downstream 16 5 + c
5 + c
16
“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:
4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3
The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’
Answers
Answer:
4.6
Step-by-step explanation:
x³-6x=72
x³-6x-72=0 .... a solution between 4 and 5
x=4 x³-6x-72= 64-24-72 = -32
x=5 x³-6x-72= 125-30-72 = 23
we have to find an x value that makes x³-6x-72 --> 0
see the attachment, we can find the 0 value of x is between 4.63 and 4.64
‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)
Select the correct answer.
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
Answers
Solve: -5 3/4 - 3 1/2=?
Answers
I hope this helps!
Answer:
-9.25 in decimal form
-9 1/4 :) in fraction form
hope this helps here is the explanation on how I got this answer :)!
therefor it will be the last answer :)
Step-by-step explanation:
-9.25
= – 9.25 × 100
1 × 100= –925
100
= – 925 ÷ 25
100 ÷ 25
= – 374
= – 9 1/4