Answer:
41 + (D x 1) = L
Step-by-step explanation:
To determine the necessary equation to lengthen a road whose initial measure is 41 miles, knowing that a new mile is built every day, the following equation must be performed:
41 + (D x 1) = L
Thus, if 14 days had passed, the length of the journey would be determined as follows:
41 + (14 x 1) = L
41 + 14 = L
55 = L
Therefore, after 14 days, the road's length will be 55 miles.
Somebody please help me :(
Answer:
The answer is C.
Step-by-step explanation:
There are more minutes than the amount of water, so this is the only reasonable answer.
Which region represents the solution to the system of inequalities?
Region A
Region B
Region C
RegionD
Answer:
A
Step-by-step explanation:
This is because the shaded regions are not required
Answer:
A
Step-by-step explanation:
its not shaded
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 71 cells. (a) Find the relative growth rate. (Assume t is measured in hours.) k = Incorrect: Your answer is incorrect. (b) Find an expression for the number of cells after t hours. P(t) = Incorrect: Your answer is incorrect. (c) Find the number of cells after 8 hours. cells (d) Find the rate of growth after 8 hours. (Round your answer to three decimal places.) billion cells per hour (e) When will the population reach 20,000 cells? (Round your answer to two decimal places.) hr
Answer:
[tex]r=1.57[/tex], [tex]P(t)=71e^{3t\ln2}[/tex], [tex]P(8)=1191182336[/tex],[tex]P'(8)=2476994033[/tex] [tex]t=2.713\; hr[/tex]
Step-by-step explanation:
[tex](a)[/tex] Find the relative growth rate.
[tex]P=Ae^{rt}[/tex] where given [tex]A=71, P(t)=120\;\;and \;\; t=\frac{1}{3}[/tex]
Find the value of [tex]r[/tex]
[tex]\Rightarrow 120=71 e^{\frac{r}{3} }[/tex]
[tex]\Rightarrow \frac{120}{71} =e^{\frac{r}{3} }[/tex]
[tex]\Rightarrow 1.69=e^{\frac{r}{3} }[/tex]
[tex]\Rightarrow \ln1.69=\frac{r}{3}[/tex]
[tex]\Rightarrow 3\ln1.69=r \;\;\; or \;\;\; r=1.57[/tex]
[tex](b)[/tex] Find an expression for the number of cells after t hours.
[tex]P(t)=71e^{3t\ln2}[/tex]
[tex](c)[/tex] Find the number of cells after 8 hours.
[tex]P(8)=71e^{3\times 8\times \ln2}[/tex]
[tex]\Rightarrow P(8)=1191182336[/tex]
[tex](d)[/tex] Find the rate of growth after 8 hours.
[tex]P(t)=71e^{3\times t\times \ln2}[/tex]
Now differentiate w.r.t. [tex]t[/tex]
[tex]\Rightarrow P'(t)=71\times 3\ln2\times e^{3t\ln2}[/tex]
[tex]\Rightarrow P'(8)=3573547008\ln2[/tex]
[tex]=2476994033[/tex]
[tex](e)[/tex] When will the population reach 20,000 cells?
[tex]20,000=71e^{3t\ln2}[/tex]
[tex]\Rightarrow \ln\frac{20000}{71} =3t\ln2[/tex]
[tex]\Rightarrow \frac{ \ln\frac{20000}{71}}{3\ln2} =t[/tex]
S0, [tex]t=2.713 hr[/tex]
3 pounds of gummie bears cost $8.97.
What will one pound cost?
Answer:
2.99
Step-by-step explanation:
Suppose approximately 75% of all marketing personnel are extroverts, whereas about 55% of all computer programmers are introverts. (For each answer, enter a number. Round your answers to the three decimal places.)
A. At the meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts?
What is the probability that 5 or more are extroverts?
What is the probability that all are extroverts?
B. In a group of 5 computer programmers, what is the probability that none are introverts?
What is the probability that 3 or more are introverts?
What is the probability that all are introverts?
Answer:
A.)
0.852 ; 0.999 ; 0.013
B.)
0.018 ; 0.593 ; 0.050
Step-by-step explanation:
Given :
Proportion of marketing personnel that are extrovert, p = 0.75
1 - p = 1 - 0.75 = 0.25
Proportion of computer programmers that are introverts, p = 0.55
1 - p = 1 - 0.55 = 0.45
According to binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - r)
A.) n = 15
Probability that 10 or more are extrovert
P(x ≥ 10) = p(x = 10) + p(x = 11) +... p(x = 15)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 10) = 0.8516 = 0.852
Probability that 5 or more are extrovert :
P(x ≥ 5) = p(x = 5) + p(x = 6) +... p(x = 15)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 5) = 0.9999 = 0.999
Probability that all are extrovert :
P(x = 15) = 15C15 * 0.75^15 * 0.25^0
P(x = 15) = 1 * 0.75^15 * 0.25^0
P(x = 15) = 0.01336 = 0.013
B.
What is the probability that all are introverts?
n = 5
None are introvert :
P(x = 0) = 5C0 * 0.55^0 * 0.45^5
P(x = 0) = 1 * 1 * 0.0184528125
P(x = 0) = 0.01845 = 0.018
P(x ≥ 3) = p(3) + p(4) + p(5)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 3) = 0.5931 = 0.593
Probability that all are introvert
P(x = 5) = 5C5 * 0.55^5 * 0.45^0
P(x = 5) = 1 * 0.55^5 * 0.45^0
P(x = 5) = 0.0503 = 0.050
Write your answer with no space and any fraction with “/“
Answer:
y= 3x-1
Step-by-step explanation:
The nth term of a sequence can be determined by the function f (n)=20 (1/4)^n-1 Which choice is a term of the sequence?
Answer: I think it c or d but more c
Step-by-step explanation:
Stephanie has 20 coins in her purse.
• Some are quarters.
• Some are dimes.
• The total value of the coins is $3.35.
How many of each type of coin does she have?
Answer:
11 dimes and 9 quarters
Step-by-step explanation:
lets make x quarters and y dimes
Here is the equation we have so far:
x+y=20
BUT it can also be used to determine the values:
0.25x+0.10y=3.35
----------------------------------------------------------------------------
0.25x+0.10y=3.35
x+y=20
Im going to solve for quarters first.
Multiply everything by 0.25 on the bottom equation: 0.25x+0.25y=5
Now you have two equations:
0.25x+0.10y=3.35
and 0.25x+0.25y=5
subtract out the 0.25x
.15y=1.65
y=11
------------------------------------------------------------------------------
you have 11 dimes.
x+11=20
x=9
You have 9 quarters
Can I get some help on this? it wants it solved for L
Multiply both sides by 2pi:
F(2pi) = sqrt(g/l)
Square both sides:
F^2 (2pi)^2 = g/l
Solve for l by dividing both sides by F^2 (2pi)^2
L = g/ F^2 (2pi)^2
Simplify:
L = g / 4pi^2(f^2)
True or False: The rate at which men and women preferred SUV's are exactly the same.
True
False
Answer:
False
Step-by-step explanation:
The male's want sports cars more and the female's want SUV's more.
write. (0.25)³ as a multiplication
A number raised to an exponent is the number multiplied by itself the number of times the exponent is.
The exponent is 3, so this means 0.25 is multiplied by itself 3 times.
0.25^3 = 0.25 x 0.25 x 0.25
Answer:0.100
Step-by-step explanation:
If you sed the rule of counting decimal places in the equation to find the number of decimal places in the answer you must not discard zeros too early. For example to multiply 0.25 by 0.4 you need 2+1 decimal places and the multiplication without a decimal point gives 0100. The answer is therefore 0.100.
How many four digit numbers can be formed using the digits 7, 6, 5 and 2 if no
repetitions are allowed?
Answer:
24
Step-by-step explanation:
4! = 4*3*2*1 = 24
24 numbers can be formed
Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.
[tex] \Large \text {Answer:} [/tex]
[tex] \large \boxed {\dfrac{23}{40}} [/tex]
[tex] \Large \text {Step-by-step explanation:} [/tex]
[tex] \text{P}_{B}(r) = \text{P}_{A}(r) \cdot \text{P}_{B}(r) + \text{P}_{A}(w) \cdot \text{P}_{B}(r) [/tex]
[tex] \text{P}_{B}(r) = \left (\dfrac{3}{5} \right ) \negthickspace \left(\dfrac{5}{8}\right ) + \left (\dfrac{2}{5} \right ) \negthickspace \left (\dfrac{4}{8} \right ) [/tex]
[tex] \text{P}_{B}(r) = \dfrac{23}{40} [/tex]
The probability of drawing a red chip from bowl B will be ( 23 / 40 ).
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B.
The probability will be calculated as:-
[tex]\rm P_B(r)=P_A(r)P_B(r)+P_A(w)P_B(r)\\\\P_B(r) = (\dfrac{3}{5})(\dfrac{5}{8})+(\dfrac{2}{5}(\dfrac{4}{8})\\\\P_B(r)=\dfrac{23}{40}[/tex]
Therefore, the probability of drawing a red chip from bowl B will be ( 23 / 40 ).
To know more about probability follow
https://brainly.com/question/24099712
#SPJ2
Please help me with math!!
Answer:
[tex]x = 9\\LN=MP=79\\[/tex]
Step-by-step explanation:
In a rectangle, the diagonals are equal:
[tex]LN = MP\\4x+43=9x-2 => 5x = 45 => x = 9\\LN = 79\\MP=79\\[/tex]
stu's teacher wrote his test score as a fraction. He wrote 7/10. What is his score as a percent
Answer:
that would be a seventy (70)
Answer:
70%
Step-by-step explanation:
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
What is the product of 1/3 and 3/4
Answer:
1/4
aus74ebsi2neissnejws
Answer:
1/4 or . 25
Step-by-step explanation:
pls mark brainliest to help my rank :)
4. Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5,
4, 11 and 9. Find the Standard Deviation. Is 13 a "Usual” number of flowers?
Answer:
No
Step-by-step explanation:
SD=8+2+5+4+11+9÷6
13=10+9+20÷6
13=19+20÷6
13=39÷6
13=6.5-False=No
13 is not a usual number. A further solution of the given query is provided below.
Given:
Number of observations = 6
Series 8, 2, 5, 4, 11, 9
The Mean will be:
= [tex]\frac{Sum \ of \ observation}{Total \ number \ of \ observations}[/tex]
By substituting the values, we get
= [tex]\frac{8+2+5+4+11+9}{6}[/tex]
= [tex]\frac{32}{6}[/tex]
= [tex]6.5[/tex]
Now,
The Standard deviation will be:
= [tex]\sqrt{\frac{|x-\bar x|^2}{n} }[/tex]
= [tex]\sqrt{\frac{(1.5)^2+(4.5)^2+(1.5)^2+(2.5)^2+(4.5)^2+(2.5)^2}{6} }[/tex]
= [tex]3.0956[/tex]
13 is not within the range of standard deviation. Thus it is not a usual number.
Learn more about standard deviation here:
https://brainly.com/question/12402189
Rewrite the equation x3-1/2x+2=0 such that no side is 0
x3 - 1/2x + 2 = 0
if you mean x³, and not x3, then heres the answer to the problem: (if it is something else please let me know)
x³ - 1/2x + 2 = 0
-2 -2
x³ - 1/2x = -2
^no side is 0 :D
There are 33 boxes of erasers in the supply closet. Each box contains 34 erasers. How many erasers are there in all?
Answer:
The answer is 1,122
Step-by-step explanation:
33 x 34
The two triangles are similar.
What is the value of x?
Answer:
21
Step-by-step explanation:
Ratios are used.
10/30 = 12/36 = 7/x
1/3 = 7/x
x = 3*7 = 21
Evaluate bd/a+c if a=−2 , b=3 , c=−12 , and d=−4
Answer:
6/7
Step-by-step explanation:
First you just have to plug the numbers in so you get 3*-4/-2+(-12) which simplifies to -12/-14 which can be simplified to 6/7
The value of expression bd/a+c will be 6/7.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is ,
bd / a+c
And, The values are a=−2 , b=3 , c=−12 , and d=−4.
Now, Find the value of the expression we can substitute all the given values in the expression;
⇒ bd / a+c
⇒ 3 × (-4) / -2+(-12)
⇒ -12/-2-12
⇒ -12/-14
⇒ 12/14
⇒ 6/7
Thus, The value of expression bd/a+c will be 6/7.
Learn more about the substitution method visit:
https://brainly.com/question/2254238
#SPJ2
The following is an example of which property?
2 x 3 = 3 x 2
Question 2 options:
Distributive property
Commutative property of addition
Identity property of multiplication
Commutative property of multiplication
Answer:
I think it is commutative
Step-by-step explanation:
because commute means move so I think that's what it is
Answer:
commutative property of multiplication i did the test
Step-by-step explanation:
y=f(x) what is the graph for g(x)=1/2f(x)-6
Here you go!
Hope this helps! :D
Super Grocery Store paid its cashiers $6.75 an hour. Since the store has come under new management, the cashiers make 25% more an hour. How much do the cashiers currently make an hour? Round answer to the nearest hundredth
Answer:
the answer is 7.83 it's not rounded though
What's the Answer for (-8 ) – (- 8 ) =
Create and expression that is equivalent to 3x+2x+x using the fewest terms
Answer:
6x
Step-by-step explanation:
add the terms to make one term
Which graph shows a line with the slope of 3/2
I BEG YOU PLEASE HELP ME ASAP PLEASE ♥♥♥♥ PLEASE
Why should anyone help you when you just post absurd answers for other people?
1. 3(x + 12) =
2. 2(7 + 6x)
3. 9(5x−2)
Step-by-step explanation:
done....................I hope its right
Answer:
1. 3x + 36
2. 14 + 12x
3. 40x-18
Step-by-step explanation:
1. 3(x+12)
3x + 36
2. 2(7+6x)
14 + 12x
3. 9(5x-2)
40x-18
Ace Carlos