Let:
• t, be the time that the colony has spent growing (in days)
,• f(t) ,the number of bacteria after ,t, days
The function that describes the situation is:
\(f(t)=40\cdot3^{\frac{t}{4}}\)For t = 20,
\(\begin{gathered} f(20)=40\cdot3^{\frac{20}{4}} \\ \Rightarrow f(20)=40\cdot3^5 \\ \Rightarrow f(20)=9720 \end{gathered}\)You would have 9720 bacteria.
"Five less than
the quotient of
a number and
3 is -7°
A. 5 - X/3-7
B. -7 +x/3
C. X3 - 5 =-7
D. 5 - 4/2 = -7
Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .
The coordinates of points C, E and G are respectively; C(-0.75, 8.5), E(3.75, 7.5) and H(7.5, 6)
How to find the Coordinates of a Line Segment?
We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.
Now, coordinates of A and B are; A(-3, 9) and B(9, 5)
Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;
x, y = (-3 + 9)/2, (9 + 5)/2
x, y = (6, 7)
H is the midpoint of FB. Thus;
H(x, y) = (6 + 9)/2, (5 + 7)/2
H(x, y) = (7.5, 6)
D is midpoint of A and F. Thus;
D(x, y) = (-3 + 6)/2, (9 + 7)/2
D(x, y) = (1.5, 8)
E is midpoint of F and D. Thus;
E(x, y) = (1.5 + 6)/2, (8 + 7)/2
E(x, y) = (3.75, 7.5)
C is midpoint of D and A. Thus;
C(x, y) = (-3 + 1.5)/2, (9 + 8)/2
C(x, y) = (-0.75, 8.5)
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Answer:
Select the correct answer from each drop-down menu.
Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.
In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).
The coordinates of point C are
.
The coordinates of point E are
.
The coordinates of point H are
.
cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6
Step-by-step explanation:
Mimi is tacking 6 posters on her wall. Every poster needs a tack in each corner. What is THE LEAST number of tacks Mimi needs to hang the posters so that each can be seen completely?
Answer:
36 if the posters have 3 corners
Step-by-step explanation:
you would just multiply the corners by 6
What two numbers multiply to -18, adds up to 3
Answer:
6 and -3
Step-by-step explanation:
6 times -3 equals -18 because a positive times a negative equals a negative. 6 plus -3 equals 3, remember that a positive plus a negative can be rewritten as subtraction. So 6+(-3)=6-3, which equals 3.
Jim began a 145mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on bicycle is 4.5 hours.
Given Jim began a 145 mile bicycle trip.
The whole trip took 7 hours.
Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
speed = distance / time
time = distance / speed
ride:
d = distance ridden
t = d/30 (given from the problem)
walk:
t = (145 - d)/4 (given from problem)
total trip time:
7 = d/30 + (145 - d)/4.
7 = 4d/120 + 30(145 - d)/120
7×120 = 4d + 30(145 - d)
840= 4d +4350-30d
840 ₋ 4350 = ₋30d ₊ 4d
₋3510 = ₋26d
d = 3510/26
d = 135
d=135 then from here using the formula t = d / s we can solve
t=135/30 = 4.5 hours
hence the amount of time Jim spent on the bicycle is 4.5 hours.
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5. Mariel volunteers at the
animal shelter 3 times a month.
After 6 months, how many
times has she volunteered at
the animal shelter?
Please help me I’m so confused
Using Venn diagram, There are total 24 people who study Russian and Spanish.
A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.
Given,
50 pupils study Russian.
31 pupils study Spanish.
23 pupils study neither Russian nor Spanish.
Total = 80
80 - 23 = pupils study either Russian nor Spanish.
Using venn diagram formula,
(A ∪ B) = (A) + (B) – (A ∩ B)
⇒ 57 = 50 + 31 - (A ∩ B)
⇒ 57 = 81 - (A ∩ B)
⇒ (A ∩ B) = 24
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10 is 20% of which number
Answer:
50
Step-by-step explanation:
100/20 = 5
5 x 10 = 50
Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer: This is the answer. please give me the brainliest. Thanks
Find the angle measure of a blue wedge
Answer:
14 +15 the answer is this
eecia joins a gym. She pays a membership fee of $75.00 and $49.99 per month for the first 8 months. The gym increases its rates, and she must pay $59.99 per month for the next 4 months. Which numerical expression can be used to find the total cost of the first year of Keecia’s gym membership?
75 + (8) (49.99) + (4) (59.99)
75 + (8 + 4) (49.99 + 59.99)
75 minus (8) (49.99) + (4) (59.99)
75 + 49.99 + 59.99
Answer:
A.
75 + (8) (49.99) + (4) (59.99)
Step-by-step explanation:
simplify 36ab divided by 40ab
juan has 12 pencils. two-thirds of these pencils are sharpned which model represents the number of sharpend pencils juan has?
Answer:
8
Step-by-step explanation:
Answer: Do you have a picture?
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
PLEASE HELP ME WITH THESE TWO QUESTIONS ILL GIVE U A GREAT RATING
For #8 its B. 4.5
For #9 is C. 33/5
Classify the triangle with the given side lengths as 1,13,13
Answer:
isosceles triangle
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
The one all the way to the left (1 1/9 ft)
Step-by-step explanation:
You have to multiply Height x Width x length together.
Height will be 5/3 or 1.66
length side will have the lenght of 1
Width will be 2/3 or .66
So now you just have all of that. And you get 1.1 ( I multiplied the decimals )
And that was closest to 1 1/9
HELP SRSLY I JEED TO GET THIS RIHT ILL MARK AS BRAINLYIST AND ILL GIVE 40 POINTS 14 yd-
12 yd
30 yd
2
The triangular prism above undergoes a dilation whose scale factor is
3
What is the volume of the image? Round your answer to the nearest tenths place.
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.
The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.
The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.
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The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
Directions. Answer the question about rate, ratios, and proportions.
What value will make this an esu valent ratio?
37 and
21
Answer:
37
Step-by-step explanation:
37
During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
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Ingresa en la calculadora un numero de 4 cifras.¿como harias para convertir ese numero en 0 usando exactamente cuatro cuentas?
Answer:
Multiply the last value by 0.
Step-by-step explanation:
The question is:
Enter a 4-digit number into the calculator. How would you convert that number to 0 using exactly four accounts?
Solution:
Consider any 4-digit number.
Let the number be, x = 6400.
Convert 6400 to 0 as follows:
Step 1:
Take square root of the number, x = 6400,
\(\sqrt{x} = \sqrt{6400}\\=80\)
Step 2:
Divide the result from step 1 by 10,
\(\frac{\sqrt{x}}{10}=\frac{80}{10}=8\)
Step 3:
Take cube root of the resultant number from step 2,
\(\sqrt[3]{x}=\sqrt[3]{8}=2\)
Step 4:
Multiply the resultant number from step 3 by 0,
\(2\times 0=0\)
Hence converted.
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that the average length of a steel sheet from a sample of 9 units is more than 29.95 inches long
Answer:
62.93%
Step-by-step explanation:
Z score is a score used in statistics to measure by how many standard deviations that the raw score is above or below the mean. A positive z score means the raw score is above the mean and a negative z score means the raw score is below the mean. The z score is given as:
\(z=\frac{x-\mu}{\sigma}\)
Given that:
Mean (μ) = 30.05 inches, standard deviation (σ) = 0.3 inches
For x > 29.95
\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{29.95-30.05}{0.3} =-0.33\)
From the normal distribution table, P(x > 29.95) = P(z > -0.33) = 1 - P(z < 0.33) = 1 - 0.3707 = 0.6293 = 62.93%
the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
What is the value of the expression when a = 5 and b = 2?
F(x) = (x-2)(x + 1)
X+1
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As x,
y1.
As x,y".
As x,y -—-.
As x,y 1.
As x,y.
As x + y -0.
Answer:
the second and the last one
Step-by-step explanation:
answer was revealed on edg after i took quiz
The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function shown in the picture.
f(x) = (x - 2)(x + 2)/(x + 1)
The above function is a fractional function:
The denominator of the function cannot be zero:
x + 1 ≠ 0
x ≠ -1
From the graph of a function:
If x → ∞, y → ∞
If x → –∞, y → –∞
Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
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Help help math math math
Lets see some basics properties of shapes provided in the choices :
⧉ Pαrαllєlσgrαm ↬σppσѕítє ѕídєѕ αrє cσngruєnt αdjαcєnt αnglєѕ αrє ѕupplєmєntαrч ⧉ Rєctαnglє ↬❑ A spєciαl tчpє σf prαllєlσgrαm, with ѕαmє prσpєrtiєѕ
αll αnglєѕ mєαѕurє 90°⧉ Rhσmвuѕ ↬❑ A ѕpєcíαl tчpє σf pαrαllєlσgrαm wíth αll ѕídєѕ єquαl (cσngruєnt) tσ єαch σthєr вut αll αnglєѕ αrє nσt nєcєѕѕαrílч 90°
⧉ Squαrє ↬❑ A ѕpєcíαl kínd σf rhσmвuѕ hαvíng αll ѕídєѕ єquαl αnd єαch αnglє mєαѕuríng 90°
\(\rule{20cm}{1 mm}\)
❖ Anѕwєr ~☘ So, what we can conclude from the properties is that square has all required properties asked by the question.
hence, the correct choice is ' D '
\(\qquad \qquad\huge \dag\normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag\)