This can be represented by the exponential function:
[tex]P=378(2)^\frac{t}{36}[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let P represent the population of the bacteria after t minutes.
Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:
[tex]P=378(2)^\frac{t}{36}[/tex]
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Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?
Answer:
0 hours.
Step-by-step explanation:
He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.
The graph of y=⅔ x - 12 intersects the y-axis at Q (0, -12) and is perpendicular to a line joining Q to the point P ( x , 0). Find x
The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D
Answer: 12% of people responded as City D
What is 3/1,000 as a decimal
Answer: 3/1000 as a decimal is 0.003.
Explanation;
3/10 = 0.3
0.3/10 = 0.03
0.03/10 = 0.003
CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIST IF YOU GET IT RIGHT
3rd option: A middle school student it more likely to own a phone than an elementary school student
solve pls brainliest
Answer:
-8^2=1/64 and -3^3=1/27
Step-by-step explanation:
I appreciated if you mark me as brainliest
DeAnna Worley is the office manager at Central
BioEnergy. She is married with one dependent. Her annual
graduated state income tax is $3,520. What is her semimonthly
salary
Answer:
67 i thing so if it wrong sorry and ill answer it again ight
Step-by-step explanation:
Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-x* 1-0
D A
1+
14
2
1-IS
X =
D
B. x-
= -2
O c. x = 3
-
-1+
D.x =2 1-O
E.1 4x=
.
OF.x
2
Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
A company makes 140 bags.
41 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
25 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer:
41/140 or approximately 29.29%
Step-by-step explanation:
Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.
Answer:
Step-by-step explanation:
b= buttons
z= zips
b∩z'=41
b'∩z=48
b'∩z'=25
b=?
b= b∩z+b∩z' (law of total probability)
140=b∩z+b∩z'+b'∩z+b'∩z' (if this is confusing draw a venn diagram)
140=b∩z+41+48+25
b∩z=26
26+41= 67
67/140= .478571429
Find the area of the shaded shape
Answer:
105
Step-by-step explanation:
yeah-ya............. right?
when a company produces 5,000 units, variable costs are $35 per unit and total cost in $200,000. What is the total cost when the company produces 8,000 units? (both 8000 and 5000 units produced are within the relevant range.)
Review the incomplete equation below. Select the number that makes the equation true.
35 × 64 = 1800 +_____ + 120 +20
Answer:
300
Step-by-step explanation:
find what's 35 x 64 its 2240
then you add up 1800 and 120 and 20 n you get 1940
Then you subtract to see what's missing and you get
300
if you don't understand pls tell me
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. During a two-month period (44 weekdays), daily fees collected averaged $126, with a standard deviation of $15. a) What assumptions must you make in order to use these statistics for inference
The assumptions required for making inference about a population using sample data include ;
The 10% condition, sample size must not be more than 10% of the population size Data should be approximately normal with sample size, n being greater than 30 (n ≥ 30).The sample selection must be independent, as the outcome of a certain trial must not depend on the outcome of another.Learn more : https://brainly.com/question/25609474
Which of the following does NOT reveal the variation (spread) of the data? Check all that apply. Mean Mode Standard Deviation Range Median
Mean, mode and median does NOT reveal the variation (spread) of the data.
When analyzing data, the most sort for characteristics is the variation (spread) in the data.
The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.
Common measure of variation or spread are the standard deviation, range, variance.
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Round your answer to the Nearest tenth
Answer:
3.3 or [tex]\frac{56}{17}[/tex]
Step-by-step explanation:
v/7 = 8/17
Cross multiply ... v times 17 & 7 times 8
17v = 56
Divide both sides by 17
v = 56/17
Keep your answer as a fraction OR
Convert to a decimal : 3.3
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book
Set up a proportion:
2.4/480 = x/380
Cross Multiply:
480x = 912
Divide both sides by 480:
x = 1.9
Answer: 1.9 cm thick
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
9514 1404 393
Answer:
AED 5200
Step-by-step explanation:
The interest in the first year will be ...
I = Prt . . . . principal P invested at rate r for t years
I = 5000×0.04×1 = 200
The account will have AED 5200 in it after a year.
I NEED HELP W THIS ASAP!!!!!
Answer:
[tex]18[/tex]
Step-by-step explanation:
[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]
Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?
Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).
Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...
Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)
Answer:
x – 4y = 20
Step-by-step explanation:
Put the line above in Slope Intercept Form
You can do that by solving for y
y = (1/4)x - 5
The slope, m above is 1/4
The perpendicular will a negative inverse slope m = -4
In Slope Intercept Form your perpendicular line starts below
y = -4x + b
Use the coordinates of the given point on the line (2, -5) to insert and solve for b
-5 = -4(2) + b
-5 = - 8 + b
Add 8 to both sides of the equation
-5 + 8 = b
3 = b
Finally your perpendicular line
y = -4x + 3
I hope this helps
Check my arithmetic
Answer:
×4y=20
Step-by-step explanation:
mark me as brainlist please
please help i seriously don’t know this at all lol
Answer:
156m^2
Step-by-step explanation:
label the shapes A and B) triangle=shape b and rectangle=shape a
shape a)10x12=120m^2
shape b)(12x6)/2=36m^2
add the values of shape a and b together to get the area of the shape)120+36=156m^2
find the sum of 6/12+1/2
Answer:
1
Step-by-step explanation:
[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]
5/8 Divided by 6 5/6
Answer:
15/164
Step-by-step explanation:
5/8 ÷ 6 5/6 = 5/8 ÷ 41/6
= 5/8 x 6/41
= 30/328
= 15/164
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.
4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]
and
[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]
which means the sum we want is 14,950 - 1,196 = 13,754.
Can anyone answer this?
Answer:
∠AMB = 103°
Step-by-step explanation:
The sum of angles in ∆AMB is ...
(∠A)/2 +(∠B)/2 + ∠AMB = 180°
∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2
∠AMB = 103°