Answers
Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Related Questions
help me with this pls
Answers
Answer:
Yes they both = 125
Step-by-step explanation:
What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?
(–8, –6)
(–6, 8)
(8, 6)
(6, –8)
Answers
Answer:
The answer is B. (-6,8) !
Step-by-step explanation:
plsss help mee i donot now the answer
Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.
1. If you live in Manila, then you live in the Philippines.
2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.
3. A square is not a triangle.
4. An even number is divisible by 2.
5. The measure of an acute angle is less than 90.
Answers
Answer:
1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)
2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)
3. A square is not a triangle (conclusion)
4. An even number is divisible by 2. (conclusion)
5. The measure of an acute angle is less than 90. (conclusion)
Which expression represents the expanded version of the expression below?
4x(3x+7)
Answers
Answer:
X is just a variable.
Step-by-step explanation:
Please help I don’t understand please!!!
Answers
Answer:
y>5.5
Step-by-step explanation:
4y+3>2y+14
Subtract 2y from both sides.
2y+3>14
Subtract 3 from both sides.
2y>11
Divide 2 by both sides.
y>5.5
-hope it helps
the (y) and mean 1 and you need to multiply al number
Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?
Answers
Answer:
She can invite 13 people.
Step-by-step explanation:
Because Sarah has to pay $100 for the room, we can subtract.
$180-$100=$80.
Now that she has $80 left, we can see how many times $6 can go into $80.
$6x14=84.
This number is four more than $80, so Sarah can not invite 14 people.
But, if we do $6x13, we get $78.
$78 does not past $80 and is really close, Sarah can invite 13 people.
Final Answer: Sarah can invite 13 people without going over her budget.
I hope this helps and have a wonderful day! ;0
Answer:
13
Step-by-step explanation:
180-100 = 80
80 divided by 6 = 13.333
I have no clue what to do
Answers
answer people questions if you know the answers.Or ask for help if your doing homework.
Answer:
Borrow a brain
Step-by-step explanation:
which steps transform the graph of y=x^2 to y=-(x-3)^2+2
Answers
Answer:
reflection over the x-axis
shifted 3 right
shifted 2 up
Step-by-step explanation:
This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.
When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.
Solve for a
1/12 a +21 = 25
Answers
Hope This Helped!
Step-by-step explanation:
First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48
We are left with A being equal to 48.
[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]
The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
6mph
Step-by-step explanation:
180/4.5=40
180 × (1+15%)=207
207/4.5=46
46-40=6
A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project
Answers
Answer: 40 HOURS
Step-by-step explanation:
If the students complete 30% of the project in 12 hours,
that means:
12 h................................30%
? h...................................100%
(12*100)/30= 40H
THE STUDENTS NEED 40H TO COMPLETE THE PROJECT
It will take 40 hours for the group to finish the project.
How many hours will it take the group to finish the project?
If the students complete 30% of the project in 12 hours,
that means:
⇒ 12 h = 30%
⇒ ? h = 100%
By using percentage theory:
Percentage formula = (Value/Total value) × 100.
⇒ (12*100)/30= 40H
The answer is 40 hours.
What are a percentage and its formula?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.
Learn more about percentage here: brainly.com/question/843074
#SPJ2
Enter the value of x + 27.
х
1
o
1x + 27)
67°
Answers
1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.
The diameter of a circle is 18 kilometers. What is the circle's circumference? d=18 km Use 3.14 for n. kilometers
Answers
Answer:
56.52 km
Step-by-step explanation:
You can use this formula to find the circumference.
[tex]C =\pi \:d[/tex]
Here,
C = circumference
d = diameter
Let us solve now.
[tex]C =\pi \:d[/tex]
C = 3.14 × 18 km
C = 56.52 km
Hope this helps you.
Let me know if you have any other questions :-)
Please show any steps you used to solve the equation!
Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]
I'll mark brainliest if correct!
Answers
sec(θ) = 2
By definition of secant,
cos(θ) = 1/2
Solve for θ :
θ = arccos(1/2) + 2nπ or θ = -arccos(1/2) + 2nπ
(where n is any integer)
θ = π/3 + 2nπ or θ = -π/3 + 2nπ
We get two solutions in the interval 0 ≤ θ < 2π :
θ = π/3 or θ = 5π/3
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star
Answers
By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.
[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]Reasons
The given parameters are;
The distance from the star to the Sun = d
The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees
The average distance from Earth to the Sun = 1 AU
By trigonometric ratios, we have;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]
Therefore;
[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]
The expression to calculate for d for any star is therefore;
[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]The angle given for θ for the referenced star is θ = 0.00001389
Therefore;
[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]
Learn more about trigonometric ratio here:
https://brainly.com/question/14421002
https://brainly.com/question/8514165
The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?
Answers
angle a = 180°-80°-40°=60°
i really need your help on this
Answers
Answer:
That is an improper fraction
Step-by-step explanation:
When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper
Hope this helps!
Answer:
Improper fraction
Step-by-step explanation:
A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?
Answers
Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height
Answers
So, this has many steps to it.
This part is to let us know what symbols we should use (VERY IMPORTANT)
1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression
2.Then you look for the key word which is quotient and that means to divide
All of our symbols are in now. Time for the next step
This part us know what we are dividing and adding.
Now 2+ b/5
Answer:
[tex]2 + \frac{b}{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
will give brainliest
Answers
Answer: x > − 4
Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.
(Try to solve b. and c. with only these resources and if you still need help, let me know.)
-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?
Answers
Answer:
Number of coefficients of x: 2 coefficients (-4 and 3)
Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)
Simplified: - x - 12
Step-by-step explanation:
1) Subtract the numbers.
-4x - 12 + 3x
2) Combine like terms.
- x - 12
The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?
Answers
Answer:
I have no any ideas
Step-by-step explanation:
sorry
Which system of equations is graphed on the coordinate plane below?
Answers
Answer: 12,2
Step-by-step explanation:
Answer:
so the answer is TRUE
Step-by-step explanation:
I'm not sure how to explain but ik it it
Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination
Answers
Slope = -2/3
6 joggers and 0 tees
4 joggers and 3 tees
2 joggers and 6 tees
0 joggers and 9 tees
I cannot figure this out. Any help would be appreciated.
Answers
90+x+15+3x+15=180
4x=60
X = 15
LMN = 15+15
LMN = 30
hopefully this is correct :)
Can someone help me with this one I would appreciate it very much!!
Answers
Answer:
12.5 pounds
Step-by-step explanation:
16 ounces = 1 pound
200 ounces = 1 × 200/16 = 12.5 pounds
find the midpoint of CD with C(-4,5) and D(-1,-4).
Answers
Answer:
(-2.5, 0.5)
Step-by-step explanation:
(-4) + (-1) / 2 = -2.5
5 + (-4) / 2 = 0.5
12>-2(y-4) solve the inequality
Answers
[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]
this question is hard
Answers
A) Total number of old plans = 3500 + 4700 = 8200
In the new month, the unlimited plans increased by 55%, which adds
0.55 • 3500 = 1925
unlimited plans, while the limited plans decreased by 25%, which subtracts
0.25 • 4700 = 1175
limited plans. Then
Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950
which corresponds to a percent change of
(8950 - 8200)/8200 ≈ 0.0915 = 9.15%
That is, percent change is given by
(new value - old value) / (old value)
B) The percent change is positive, so it's a percent increase.
share 120 between 8 boys
Answers
Answer:
15
Explanation:
120 divided by 8 is 15
Answer:
120 ÷ 8 = 15
Simple math. :D
Step-by-step explanation:
Pls give brainliest.