To determine the number of bacteria at midnight, we can use the concept of exponential growth in bacteria. We set up an equation and solve for the growth rate constant, then use the formula to calculate the number of bacteria at midnight.
Explanation:To solve this problem, we can use the concept of exponential growth in bacteria. In this case, the number of bacteria is growing at a rate proportional to its size. We can set up an equation to represent the growth: dN/dt = kN, where N represents the number of bacteria and t represents time. Since the rate of growth is proportional to the current population, we can use the formula N(t) = N0ekt to calculate the number of bacteria at any given time.
In this case, we have the initial number of bacteria N0 = 6000 at 7:00 AM and N(t) = 6500 at noon, so we can plug these values into the formula and solve for k. Then we can use the formula again to calculate the number of bacteria at midnight.
By using this approach, we can determine the number of bacteria that will be present at midnight based on the given growth rate and initial population.
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I really need help on this!!! God bless you!!
A zookeeper asks,”How many animals were in the zoo each month of last year?”is this question statistical or not?Explain you reasoning.
A figure is translated rotated or reflected describe its image
Final answer:
Transformations in mathematics involve translating, rotating, or reflecting figures, resulting in images that maintain their shape but may change position, orientation, or both. Examples include translations that shift figures, rotations that pivot them around a point, and reflections that create mirror images.
Explanation:
When a figure is translated, rotated, or reflected, its image undergoes specific transformations. In a translation, every point of the figure moves the same distance in the same direction, resulting in a figure that maintains its shape and orientation but changes its position. A rotation involves turning the figure around a fixed point known as the center of rotation, changing the direction of the figure while preserving its shape and size. Finally, a reflection is akin to looking into a mirror, where the figure is flipped over a line known as the axis of reflection, creating a mirror image that maintains the shape and size of the original figure but reverses its orientation.
These transformations can be visually represented and understood using diagrams, such as those involving ray diagrams for reflections. For example, in the reflection of an object in a mirror, light rays hitting the mirror generate new rays that appear to originate from a point behind the mirror, creating a virtual image. This conceptual understanding helps to explain how images are formed through various transformations, highlighting the precision and predictability of geometric operations.
jamal runs 1 2/5 miles a day to train a race. If he runs the same distance for 3 days a week, what is the distance he runs in one week?
An isosceles triangle has a base of 8 inches and legs measuring 12 inches how wide is the base of a similar triangle with legs measuring 36 inches
Matthew made lasagna for dinner he gave equal portions of 2/3 of the lasagna 23 friends what diagram could Matthew use to find a fraction of the whole is lasagneach friend of got
A plot of land is a pentagon with vertices Q(-4, 4), R(2, 4), S(4, 1), T(2, -4), and U(-4, -4).
Each unit of the coordinate grid represents one meter.
Fencing costs $24.75 per meter. What is the cost of placing a fence around the plot of land?
What is the range of: 21, 35, 17, 27, 32, 12 and 30
Find 2/9 of 36
half of a number decreased by 6
The answer is: " [tex]\frac{1}{2}[/tex] x − 6 " .
_______________________________________________
→ in which "x" represents the "unknown number" .
_______________________________________________
The expression written for: "Half of a number decreased by 6" is:
→ " [tex]\frac{1}{2}[/tex] x − 6 " ;
_____________________________________________
→ in which "x" represents the "unknown number" .
________________________________________
Explanation:
Let "x" represent the "unknown number".
→ "One-half" of a number , decreased by "6" ;
→ is written as: "1/2 of "x" , minus "6" .
Note that: " 1/2 of x " = " [tex]\frac{1}{2}[/tex] * x " = " [tex]\frac{1}{2}[/tex] x " .
Then, we subtract "6" ; from that value; to write the expression:
________________________________________
The expression written for: "Half of a number decreased by 6" is:
" [tex]\frac{1}{2}[/tex] x − 6 " ;
→ in which "x" represents the "unknown number" .
________________________________________
Hope this helps!
Best wishes in your academic endeavors — and within the "Brainly" community!
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The figure consists of two quarter circles and a
square. What is the perimeter of this figure?
Use 3.14 for π .
82.24 in.
114.24 in.
132.48 in.
164.48 in.
(A square with sides measuring 16 in and has two quarter circles attached with with the same measurements.)
Answer:
The perimeter of the figure is [tex]114.24\ in[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equivalent to the perimeter of a square plus the perimeter of a semicircle
step 1
Find the perimeter of square
The perimeter of square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
we have
[tex]b=16\ in[/tex]
substitute
[tex]P=4(16)=64\ in[/tex]
step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=16\ in[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]C=3.14(16)=50.24\ in[/tex]
step 3
Find the perimeter of the figure
[tex]64\ in+50.24\ in=114.24\ in[/tex]
Ken got 7 hamsters and 3 mice today. If he does not want to put more than 3 hamsters or mice in a cage, how many cages does he need?
Mark as Brainliest
Answer:
yup 4 cages
Step-by-step explanation:
Han and Clare walk towards each other a constant rate, meet up, and then continue past each other in opposite direction. We will call the position where they meet up 0 feet and the time when they meet up 0 seconds - Han’s velocity is 4 feet per second. -Clare’s velocity is -5 feet per second. -where is each person 10 second before they meet up? - where is each person at the position -10 feet from the meeting place?
Han is around a distance of 40 feet away from Clare, Clare is around -50 feet away from Han and both would be -10 feet far away from the meeting point.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Han's velocity is 4 feet per second, and their meeting point is 0 feet and 0 seconds. Clare's speed is -5 feet per second.
We can calculate their distance in 10 seconds by multiplying their velocity.
Han is around (10× 4)40 feet away from Clare.
Clare is around (10× -5)-50 feet away from Han.
Han and Clare would be -10 feet faraway from the meeting point.
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The geometric mean of 8 and 32
The geometric mean of 8 and 32 is 16.
Given :
The two numbers 8 and 32
To find:
The geometric mean of given numbers.
Solution
The geometric mean is given by the formula:
[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]
n = num ber of terms
According to question : n = 2
The geometric mean of given numbers:
[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]
The geometric mean of 8 and 32 is 16.
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What is the simplified form of -3z^2(z+2)-4(z^2+1)
The ice rink sold 95 tickets for the afternoon
skating session, for a total of $828. General admission
tickets cost $10 each and youth tickets cost $8 each.
How many general admission tickets and how many
youth tickets were sold?
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall. What is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³
Answer:
3534
I just agree with the comment above me.
what is 3/10 in money form?
complete this complex math problem
200/20×5+20-20
in a recent survey of middle school students about pizza toppings it was found that 25 students liked pepperoni pizza 31 like banana peppers pizza and 5 liked both pepperoni and banana peppers on their Pizza if 66 students where surveyed how many students do not like banana peppers on their Pizza
Using the principle of inclusion-exclusion, it was determined that out of 66 surveyed students, 15 do not like banana peppers on their pizza.
The number of students who do not like banana peppers on their pizza can be calculated as follows:
Students who like pepperoni pizza only = 25 - 5 = 20
Students who like banana peppers pizza only = 31 - 5 = 26
Students who do not like banana peppers = Total students surveyed - Students who like banana peppers - Students who like only pepperoni = 66 - 31 - 20 = 15 students
Chris wrote a 5 digit number. One digit has the value of 3. One digit has a value of 4000. One has value that is 10 times the value of the digit in the ones place. One has a value that is 10 times the value of the digit in the tens place. One has the value that is 10 times the value of the thousands place. What number did chris write?
Final answer:
The number Chris wrote, considering the values and conditions provided for each digit, is 40353.
Explanation:
To solve this problem, let's identify each digit based on the clues provided:
One digit has the value of 3. This could be in the ones, tens, hundreds, thousands, or ten-thousands place, but we will determine its position later.One digit has a value of 4000, meaning the digit in the thousands place must be 4.One digit is 10 times the value of the ones place. Let's call the ones place 'x', so this digit would be '10x'.One digit is 10 times the value of the tens place. If the tens place is 'y', then this digit is '10y'.Finally, one digit is 10 times the value of the thousands place, which we know is 4, so this digit is 40, and it must be in the ten-thousands place.Now we start assigning values:
The ten-thousands place must be 40, so the first digit is 4.The digit 3 can't be in the thousands place since 4 is already there. It also can't be in the ten-thousands place (which is 40) nor in the hundreds place (which would make it 300, but that is not asked for). Hence, the 3 must be in the tens or ones place.If 3 were in the tens place, then the digit in the thousands place '10y' would be 30, which is incorrect. Therefore, 3 must be in the ones place and 'x' equals 3.So, 10 times the value of the ones place (which is 3) would make the hundreds place 30, but since we can only have a single digit in each place, this is invalid.Since the only sensible option left is for the tens place 'y' to be equal to 3 (making the digit 3 have the value of 30), the digit 10 times the tens place (300) then goes in the hundreds place, and the ones place is left as 'x', which equals 3.So the number Chris wrote is 40353.
The number Chris wrote appears to be 43031.
To determine the 5-digit number that Chris wrote, we need to analyze the values of each digit based on the clues given.
One digit has the value of 3:
This means one of the digits is 3.One digit has a value of 4000:
This means one of the digits represents the thousands place, specifically 4.One digit has a value that is 10 times the digit in the ones place:
Let’s denote the digit in the ones place as [tex]x[/tex]. Therefore, this digit is [tex]10x[/tex], which must be a valid digit (0-9). This means [tex]x[/tex] can be either 0 or 1 (for [tex]10x[/tex] to be a single digit).One digit has a value that is 10 times the digit in the tens place:
Let’s denote the digit in the tens place as [tex]y[/tex]. Thus, this digit is [tex]10y[/tex]. For it to be a valid digit, [tex]y[/tex] can also be 0 or 1.One digit has a value that is 10 times the thousands place:
The thousands place as previously established has a digit 4. Therefore, the digit in question must be [tex]10 \times 4 = 40[/tex], which would also need to be valid as a single digit. However, since this goes beyond the single-digit representation allowed (0-9), we will not use this assumption for any digit.Based on the second and first clues:
If we take 4 for the thousands place, we are left with 0 (from the thousands) plus additional digits accounting for tens.If we choose [tex]x = 1[/tex], we see the ones place becomes 1, giving 10 when multiplied by 10 times the once value.Following the same thought for this representation yields that:So, we could set:
Thousands place as [tex]4[/tex]Hundreds place could be modeled as 0.Tens place can have a digit such 3.Ones as set previously to 1.Therefore the representation of the number combining these values might just happen to yield:
[tex]40000 + 300 + 10 + 1 = 43031[/tex]
Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?
The Jim's age is 27.
It is required to find the age of Jim.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities.
Given that:
Let cousin's age = x
Let Jim's age = 3x
Since the difference between their ages is 18,
3x - x = 18
Solving for x,
2x = 18
x = 9
Cousin's age is 9.
Jim's age is 27.
So, the Jim's age is 27.
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Which unit of measurement is best to measure the amount of water in a swimming pool?
a. mililiter
b. kiloliter
c. centiliter
d. kilometer
Which measure of central tendency is preferred for this data set? Why?
56, 40, 58, 41, 53, 55, 46, 45, 60, 47, 51, 56, 43, 44, 48, 54, 60, 50, 57, 40,46, 47, 49, 59, 44, 50, 42, 53, 95, 41
Answer:
median; The outlier has a large effect on the sum.
Step-by-step explanation:
Final answer:
The median is the preferred measure of central tendency for the given data set due to the presence of outliers, which can skew the mean.
Explanation:
For the given data set, we should consider the presence of outliers in determining the preferred measure of central tendency. This data set contains values such as 95, which is considerably higher than the rest of the values. This can skew the mean to a higher value, making it less representative of the data set. The median is the middle value when all the numbers are arranged in order, which makes it robust to the effect of outliers. In contrast, the mode represents the most frequently occurring number in the data set, which might not be the best central value in this case. Given the outlier's effect on the mean, the median would be a more accurate reflection of the central tendency for this data set.
Could someone tell me if this is correct please
Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How can the number of infected people be determined from the number of days that have passed?
Final answer:
The number of infected people can be determined by doubling the number of infected people for each day that passes.
Explanation:
The number of infected people can be determined by doubling the number of infected people for each day that passes. Let's say that on the first day, there is 1 infected person. On the second day, the number of infected people doubles to 2. On the third day, it doubles again to 4, and so on. We can represent this pattern with an exponential equation: y = 2ˣ, where y is the number of infected people and x is the number of days that have passed.
For example, if 5 days have passed, we can plug in x = 5 into the equation: y = 2⁵ = 32. So, there would be 32 infected people.
Jane is planting flowers in her garden. She planted 8 flowers on Saturday and 10 on Sunday. So far she planted 2/5 of her flowers. How many flowers does she have total?
The value of a is -3
l4-8(3-12)l - l5-11l
The given mathematical expression is solved by simplifying within parentheses, performing multiplication, and understanding the absolute value concept, leading to a final answer of 70.
Explanation:The given mathematical expression is |4-8(3-12)| - |5-11|. To solve this, we first need to simplify the expressions within the absolute value bars, following the order of operations (PEMDAS/BODMAS).
Step 1: Simplify inside the parentheses3-12 = -9. So, the expression now is |4-8(-9)| - |5-11|.
Step 2: Multiply8 times -9 equals -72. Substituting this, we get |4 - (-72)| - |5-11|, which simplifies to |4 + 72| - |5-11|.
Step 3: Simplify the absolute values4 + 72 equals 76, so |76| is just 76 because absolute values ensure a positive outcome. Next, 5-11 equals -6, so |5-11| is |-6|, which is 6. Therefore, you have 76 - 6.
Step 4: SubtractLastly, subtracting 6 from 76 gives 70. So, the final answer to the given expression is 70.
A computer program reduces the length of each side of an 8'' by 8'' square photograph by 25%. What is the area, in square inches, of the reduced photo?
Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 37 degree, and traveled a distance of 2.1 point, 1 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Stella land? Round your final answer to the nearest hundredth.
1.68 km from the skydiving center did Stella land .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenusecos θ = Base/Hypotenusetan θ = Perpendicular/Basesec θ = Hypotenuse/Basecosec θ = Hypotenuse/Perpendicularcot θ = Base/PerpendicularAccording to the question
Stella's friends got her a skydiving lesson .
Her helicopter took off from the skydiving center, ascending in an angle of 37 degree .
i.e angle of elevation = 37°
then traveled a distance of 2.1 kilometers , 1 kilometers before she fell in a straight line perpendicular to the ground.
i,e
Her helicopter is making a right angled triangle with respect to ground
in which
Hypotenuse of triangle = 2.1 km
Perpendicular of triangle = 1 km
with angle of elevation = 37°
now,
the distance from the skydiving center did Stella land
According to the Trigonometric ratios
cos θ = Base/Hypotenuse
substituting the value in formula
cos 37° = [tex]\frac{Base}{2.1}[/tex]
0.7986 * 2.1 = Base
Base = 1.68
Hence, 1.68 km from the skydiving center did Stella land .
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In an equilateral hexagon, four of the exterior angles each have a measure of x degrees. The other two exterior angles each have a measure of twice the sum of x and 48. Find the measure of each exterior angle. (Show work!!)
Final answer:
The measure of each of the four exterior angles of the hexagon is 21 degrees, and the measure of the remaining two exterior angles is 138 degrees each. This was determined by setting up an equation based on the sum of exterior angles of a polygon, which is always 360 degrees, and solving for x.
Explanation:
To solve this problem, we start by understanding that the sum of the exterior angles of any polygon is always 360 degrees. For a hexagon, this sum is divided among six exterior angles. According to the problem, four of these angles are each x degrees, and the remaining two are each twice the sum of x and 48.
Let's set up the equation reflecting this information:
4x + 2(2x + 96) = 360.
Simplifying this equation, we get:
4x + 4x + 192 = 360,
which combines to:
8x + 192 = 360.
Now, we'll solve for x:
8x = 360 - 192,
8x = 168,
x = 21.
Therefore, each of the four exterior angles is 21 degrees, and each of the remaining two exterior angles is twice the sum of 21 and 48, which is:
2(21 + 48) = 2(69) = 138 degrees.