This product involves zero. So, you don't have to bother and compute all the factor, because if you multiply anything by zero you get zero.
A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.
Find the formula for the daily rate. Type your answer as a fraction.
Answer:
r=ln3/10
Step-by-step explanation:
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
[tex]y=3a^{\frac{x}{10}[/tex]
[tex]y=a3^{\frac{x}{10}[/tex]
Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].
To learn more about the daily rates visit:
https://brainly.com/question/25793394
whats y'alls answer streak, mine is 10. Highest gets brainiest!
Answer:
20 :3
Step-by-step explanation:
Answer:
lol currently I'm at 14, good job! I hope you have a good day, stay safe, and Happy holidays!
Step-by-step explanation:
Find the slope of the line that passes through (10, 8) and (9, 13)
Graph the line whose y-intercept is 2 and whose x-intercept is -5
Answer:
y=2/5x + 2
Step-by-step explanation:
find slope by using formula between these two points: (0,2) and (-5,0); then put into slope-intercept form (y=mx+b)
Karen is solving the quadratic equation shown below x2+12x-1=0 x2+12x-1+1=0+1
The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:
[tex]x = -6 \pm \sqrt{37}[/tex]
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are given as follows:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In which:
[tex]\Delta = b^2 - 4ac[/tex]
For this problem, the equation is given by:
x² + 12x - 1 = 0.
The coefficients are:
a = 1, b = 12, c = -1.
Hence:
[tex]\Delta = 12^2 - 4(1)(-1) = 148[/tex][tex]x_1 = \frac{-12 + \sqrt{148}}{2}[/tex][tex]x_2 = \frac{-12 - \sqrt{148}}{2}[/tex]Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:
[tex]x = -6 \pm \sqrt{37}[/tex]
More can be learned about quadratic equations at https://brainly.com/question/24737967
#SPJ1
9. 16 is 40% of what number? If necessary, round to the nearest tenth. A 40.0 B 0.4 C 640.0 D 6.4
Answer:
A
Step-by-step explanation:
16 x 100 = 1600
1600 / 40 = 40.0
Answer:
A. 40.0
Step-by-step explanation:
the difference of the
ages of two brothers is 4 years 5 years ago if the product of their ages was 96 find their present ages
Answer:
OB - Older Brother
YB - Younger Brother
A) OB -YB = 4
B) OB * YB = 96
B) OB = 96 / YB
Multiplying A) by -1
A) -OB + YB = -4 then we add B)
B) OB = 96 / YB
YB = -4 + 96 / YB
Multiplying both sides by YB
YB^2 = -4YB +96 then re-arranging
YB^2 + 4YB -96 = 0 solving by quadratic equation
AS OF 5 years AGO:
Younger Brother's age = 8
Older Brother's age = 12
NOW THEIR AGES ARE:
8 + 4 = 12 YB and
12 + 4 = 16 OB
Step-by-step explanation:
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answer:
Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)
Step-by-step explanation:
Refer to the diagram attached.
Let [tex]\rm O[/tex] denote the observer.Let [tex]\rm A[/tex] denote the top of the tree.Let [tex]\rm R[/tex] denote the base of the tree.Let [tex]\rm B[/tex] denote the point where line [tex]\rm AR[/tex] (a vertical line) and the horizontal line going through [tex]\rm O[/tex] meets. [tex]\angle \rm B\hat{A}R = 90^\circ[/tex].Angles:
Angle of elevation of the base of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].Angle of elevation of the top of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].
Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].
The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].
The length of segment [tex]\rm OB[/tex] could be represented in two ways:
In right triangle [tex]\rm \triangle OBR[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].In right triangle [tex]\rm \triangle OBA[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].
[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].
Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].
Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].
Equate the right-hand side of these two equations:
[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].
Solve for [tex]x[/tex]:
[tex]x \approx 81\; \rm ft[/tex].
Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].
If the total value of the coins is 36¢, what is the missing coin?
Answer:
1 penny 3 nickels 2 dimes = 36 cents
quarter
Step-by-step explanation:
What I don’t get this someone help
Answer:
1 3/4 gallon or 1.75
Step-by-step explanation:
1 (1/4) = 5/7
5/4 = 5/7
5/4 = 1.25
1.25/x = 5/7
7(1.25) = 5x
5x = 8.75
x = 1 3/4
Best answer gets brainiest. On Wednesday at camp, Diana went for a hike at 5:35 A.M. The hike took 1 hour and 30 minutes. As soon as she got back from the hike, Diana played volleyball for 55 minutes. What time did Diana finish playing volleyball?
Include A.M. or P.M. in your answer.
Answer:
Diana finshed playing volleyball at 8am
Step-by-step explanation:
So we know she started at 5:35 AM
And she hiked for an hour and 30 minutes
so 5:35+1 hour is 6:35
and 6:35+35 is 7:05
So before playing volley ball, the time is 7:05 am
Now volley ball was 55 minutes
so 7:05+55 is 8
So 8am
Answer:
She finish playing valleyball at 8:00 am
Step-by-step explanation:
Hike at 5:30 => 1h 30 min => 7:05
valleyball at 7:05 => 55 min => 8:00
Which set of numbers represents a Pythagorean triple?
Answer:
52 , 165 , 173 is Pythagorean triple.
Step-by-step explanation:
Pythagorean triple;
a² + b² = c²
Computation:
88² + 105² ≠ 139²
39² + 80² ≠ 119²
38² + 198² ≠ 202²
52² + 165² = 173²
So,
52 , 165 , 173 is Pythagorean triple.
Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, about 22 percent of the population weighs over 0.5 kilogram (kg). For the western gray squirrel, about 36 percent of the population weighs over 0.5 kg. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)
Answer:
p₁ - p₂ = ( -0,28 . 0 )
Step-by-step explanation:
Eastern gray squirrel
Sample size n₁ = 60
p₁ = 22 % p₁ = 0,22 then q₁ = 1 - 0,22 q₁ = 0,88
Western gray squirrel
Sample size n₂ = 120
p₂ = 36% p₂ = 0,36 Then q₂ = 1 - 0,36 q₂ = 0,64
p (s) = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂)
p(s) = ( 0,22 - 0,36 ) /√ (0,22*0,88)/60 + ( 0,36*0,64)/120
p(s) = -0,14 /0,071
p(s) = - 1,9718
Then
CI = ( p₁ - p₂ ) ± p(s) *EED
EED = /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂) = 0,071
CI = ( - 0,14 ± 1,9718 * 0,071 )
CI = ( - 0,14 ± 0,14 )
CI = ( - 0,28 ; 0 )
we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval ( -0,28 , 0 )
p₁ - p₂ = ( -0,28 . 0 )
The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.
The mean of the difference in sample proportion is; (E) 0.22 - 0.36
Reasons:
The given information are;
Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%
Percentage of western gray squirrel population weighing over 0.5 kg = 36%
Sample size of the eastern gray squirrels = 60
Sample size of the western gray squirrels = 120
Required:
The mean of the sampling distribution of the difference in sample proportions (eastern minus western)
The mean of the difference is given by the difference of the mean.
The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂
Where;
p₁ = The proportion of the eastern gray squirrel = 22% = 0.22
p₂ = The proportion of the western gray squirrel = 36% = 0.36
Therefore;
Mean = p₁ - p₂ = 0.22 - 0.36
The correct option is (E) 0.22 - 0.36
Learn more here:
The possible question options obtained online includes;
[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]
[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]
(C) 60·(0.22) - 120·(0.36)
(D) 0.36 - 0.22
(E) 0.22 - 0.36
A 500 yard train travels at a constant speed. A motorcyclist rides at a constant speed on the highway parallel to the train tracks. The motorcyclist starts at the rear of the train and drives to the very front of the train, and then falls back to the rear of the train. As the motorcycle completes this cycle, the train travels 1200 yards. How far did the motorcyclist travel?
Answer:
120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs
cross multiply
(2)(x) = (120)(5)
2x = 600
x = 600/2
x = 300....the motorcyclist would travel 300 miles in 5 hrs
or u could do it this way..
120/2 = 60 miles per hr
60 * 5 = 300 miles
Step-by-step explanation:
Gary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The calculation can be done by any method that adds 6% of the original salary to the original salary. That's equivalent to multiplying the original salary by 1.06 or 106%. The attachment shows some possibilities.
Answer:
_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_
Step-by-step explanation:
with situation is an example of work
answers:a person holding several tools,
a person sitting a parked car,
a person hitting a pitched basketball.
holdig several tools because he do someting or she :
I think is a person
Step-by-step explanation:
Pls help. Take a pic of your work on paper thanks.
Answers:
1.) -x - 5
2.) 11x^2 + 5x
3.) 13x + 2y +3y^2
4.) -12x - 2
5.) -24
Sorry, it won’t somehow let me attach a picture of my work on paper :(
But hopefully this helps! :)
Answer:
2) Seems like 11x² +9x , 6) seems like 42
Step-by-step explanation:
Group the ones with the same variables :
3x²t8x²-2x+7x
Then add or subtract the ones with same variables from the left :
3x²+8x²=11x²
2x+7x = 9x
therefore; 11x²-9x
is 6(4j - 6) and 24 - 36j equivalent
Answer:
no because its supposed to be 24j-36
Step-by-step explanation:
so basically im trying to say is that they did the problem wrong.
The roof of the Westin Tower (officially called the Westin Peachtree Plaza Hotel) in Atlanta is located at a height of 723 ft. Assume a stone is dropped from this roof. (Note: Round numerical answers to two decimal places, if necessary.)
Required:
a. Find the distance of the stone above the ground at any time t (before it hits the ground).
b. How long does it take the stone to reach the ground?
c. With what velocity does it reach the ground?
Answer:
a) The stone takes approximately 6.704 second to reach the ground.
b) The stone takes approximately 6.704 second to reach the ground.
c) The stone hits the ground at a velocity of -215.695 meters per second.
Step-by-step explanation:
a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:
[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)
Where:
[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.
[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:
[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)
b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:
[tex]723-16.087\cdot t^{2} = 0[/tex]
[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]
[tex]t \approx 6.704\,s[/tex]
The stone takes approximately 6.704 second to reach the ground.
c) The function velocity is found by differentiating (2) once:
[tex]v = -32.174\cdot t[/tex] (3)
If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:
[tex]v = -32.174\cdot (6.704)[/tex]
[tex]v = -215.695\,\frac{m}{s}[/tex]
The stone hits the ground at a velocity of -215.695 meters per second.
You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate bar cost?
Answer:
$2.65Step-by-step explanation:
Let chocolate bar cost = c and blow pops cost = b
As per given we have equations below:
5c + 8b = 23.25 2c + 13b = 21.5513 times the first equation minus 8 times the second to eliminate b and find c:
13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55) 65c - 16c = 129.85 49c = 129.85 c = 129.85/49 c = 2.65Each chocolate bar costs $2.65
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements. Since angle G is angle, the opposite side, JH, is . The order of the side lengths from longest to shortest is .
Answer:
Since angle G is
✔ the largest
angle, the opposite side, JH, is
✔ the longest side
. The order of the side lengths from longest to shortest is
✔ HJ, GH, and GJ
.
Step-by-step explanation:
Answer: the answers are
-the largest
-the longest side
-HJ, GH, and GJ
Step-by-step explanation: put them in edge 2020, got them right Hope this helps :)
30% of the presents under the
tree were for Tammy. If there
were 20 presents under the
tree, how many presents did
Tammy get?
Answer:
6
Step-by-step explanation:
2x (3x+20) find the value of X
Answer:
6x^2+40x
Step-by-step explanation:
2x(3x+20)
6x^2 +40x
That's your answer. you won't be able to find x
3 x1/4 =
Please help me
Answer:
3/4
Step-by-step explanation:
please mark me as brainliest
Answer:
3/4
Step-by-step explanation:
You just multiply the whole number by the numerator.
solve for x 4(x-3)-8=16
Answer:
x=9
Step-by-step explanation:
4(x-3)-8=16
1. Distribute
(4x) - (4*3) - 8 =16
4x-12-8=16
Combine the 12 and the 8
4x-20=16
Add 20 to both sides
4x-20+20=16+20
4x=36
Divide by 4.
x=9
Hope this helps plz hit the crown :D
Help 6th grade math thanks
Answer:
8.75
Step-by-step explanation:
In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.
Divide 122.5 by 14 and your answer would be 8.75
Hope this helps!!! :)
Also, please give me brainliest if you don't mind. :)
If you don't want to, then it's okay.
8.75 hope this answers your question.
The coordinate grid shows three points P, Q, and R:
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Numerical Answers Expected!
Answer for Blank 1:
Answer:
10 unitsStep-by-step explanation:
Given:
Point Q = (-6, -6)Point R = (4, -6)The segment QR is horizontal as both have same y- coordinate of -6.
The distance between Q and R is the distance between x- coordinates:
4 - ( -6) = 10 unitsAnswer:
10
Step-by-step explanation:
i took the test flvs right segmant exam
Mahammad Yunus is the founder of the Grameen Bank and a recipient of the Nobel Peace Prize for his work to find solutions to extreme poverty. The Grameen Bank issues microcredit loans and is the world's original microlending organization. Microcredit loans are one way to help people move out of extreme poverty. The loans involve lending very poor people small amounts of money to start a new business or to expand an existing one. 1. Malik wants to open a bicycle repair shop in India. He will need 800 rupees to buy the tools and equipment necessary to start his business. After that, he will need 1,400 rupees per month to keep his business running a. Copy and complete the table below for Malik's total costs. Number of Months in Business Total Costs to Operate (in rupees) 1 2 3 6 n
Answer:
sorry didnt get to find the anwser
Step-by-step explanation:
Rewrite 105,000 in scientific notation.
Answer options are in pic below
Answer:
the answer is the third option (C)
Tawfiq Trading Company plans to supply 50,000 cartons of oil in January 2021 with the carton selling for $ 20.
It is predicted that the imported oil will fall by 20,000 if the price of a carton of oil falls by 20%.
develop the Supply Equation formula?
Answer:
[tex]\displaystyle s=5,000p-50,000[/tex]
Step-by-step explanation:
Linear Model
The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.
If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).
It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)
The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:
[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]
Substituting the given points:
[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]
Calculating:
[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]
[tex]\displaystyle s-50,000=5000(p-20)[/tex]
Operating and simplifying:
[tex]\displaystyle s-50,000=5,000p-100,000[/tex]
[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]