There are 310 bacteria are present after 10 hours.
The first is the correct option.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
The population of a bacterial culture grows at a rate of 4.5% every hour.
If there were 200 bacteria at the start,
then the number of bacteria after 10 hours are,
y = 200(1 + 0.045)¹⁰
y = 310.6
Therefore, 310.6 bacteria are present after 10 hours.
To learn more about the exponential growth;
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Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
[tex]8.995[/tex]cm
Step-by-step explanation:
The circumference formula is: [tex]C=2\pi r[/tex]
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
[tex]56.52=2\pi r[/tex]
Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]
[tex]\frac{56.52}{2\pi } =r[/tex]
[tex]8.995[/tex]≈[tex]r[/tex]
If you want to round it up, you can round it to 9cm.
11 and 3/8 pounds of cat food were donated to the shelter
6t/9-22;t=60
please help me
Answer:
if t=60, then 6(60)/9-23. (360-198)/9
=18
What is 27.5 divided by 22
Answer:
1.25
Step-by-step explanation:
plss answer Part A #1 abc . i will give brainliest. late answers accepted
Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²
Um... anyone know this?
Answer:
show more picture pls!
Step-by-step explanation:
calculate 30% of 500 kg
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Y – X= -5
Answer:
Submit Answer
attempt 1 out of 2
The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5
Answer:
I just did it its 1/3n - 5
Step-by-step explanation:
Find the equation of the line through (-5,4) which is parallel to the line y=-x+6.
Give your answer in the form y=mx+b
Answer:
[tex]y = -x -1[/tex]
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
[tex]m = -1[/tex]
The line equation is then calculated as:
[tex]y=m(x - x_1) + y_1[/tex]
Where
[tex]m = -1[/tex]
[tex](x_1,y_1) = (-5,4)[/tex]
So:
[tex]y = -1(x - (-5)) + 4[/tex]
[tex]y = -1(x +5) + 4[/tex]
[tex]y = -x -5 + 4[/tex]
[tex]y = -x -1[/tex]
Given the functions f(x) = 10^x - 5 and g(x) = 2^X + 20. Graph the functions to determine which value of x is closest to where g(x) begins to exceed f(x).
A) x = 4
B) x=5
C) x=6
D) x=7
"^" means exponent
Its on usatestprep
Answer:
b cuz yea its correc
Step-by-step explanation:
its b just b I know
Answer:
B he is correct
Step-by-step explanation:
In AHIJ, the measure of J=90°, IJ = 5 feet, and JH = 3.2 feet. Find the measure of
I to the nearest tenth of a degree.
5
J
H
3.2
Answer:33.6
Step-by-step explanation:
Answer:
32.6
Step-by-step explanation:
What percent is 31 green fish out the f 49
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100
What is 4(3+x) and how do I solve it
Answer:
12 + 4x
Step-by-step explanation:
To solve this you would have to use the distributive property.
The problem would basically go like this.
4 (3+x)
(Distribute)
(4x3) (4 x X)
4x3 = 12, 4 x x = 4x
So the answer would be 12 +4x
Hope this helps :)
Answer:
12+4x
Step-by-step explanation:
4(3+x)
1️⃣Expand by distributing terms.
4*3+4x
2️⃣Simplify 4*3 to 12
12+4x
Answer: 12+4x
Done ✔
4. Estimate:
2 1/6 - 1 2/7 =
Answer:
Uhh I just want the points
1. The temperature on a winter night in Kansas is - 6 Celsius. The
temperature decreases by 8 Celsius. What is the new temperature, in
degrees Celsius? *
An elementary school is offering 3 language classes: one in Spanish, one inFrench, and one in German. The classes are open to any of the 100 students inthe school. There are 28 students in the Spanish class, 26 in the French class,and 16 in the German class. There are 12 students that are in both Spanish andFrench, 4 that are in both Spanish and German, and 6 that are in both Frenchand German. In addition, there are 2 students taking all 3 classes.(a) If a student is chosen randomly, what is the probability that he or she isnot in any of the language classes
Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
[tex](A \cap B \cap C) = 2[/tex]
6 that are in both French and German
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]
So
[tex](B \cap C) = 4[/tex]
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]
So
[tex](A \cap C) = 2[/tex]
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]
So
[tex](A \cap B) = 10[/tex]
10 Spanish and French, but not German
16 in the German class.
This means that:
[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]
[tex](C - B - A) = 8[/tex]
8 in only German.
26 in the French class
[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]
[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]
[tex](B - C - A) = 10[/tex]
10 only French
28 students in the Spanish class
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]
[tex](A - B - C) = 14[/tex]
14 only Spanish
At least one of them:
The sum of all the above values. So
[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]
None of them:
100 total students, so:
[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.
13 + 4 (2x + 5)
Help pls
Answer:
8x + 33
Solution:
13 + 4 (2x+5)
4 • 2x = 8x
4 • 5 = 20
20 + 15 = 33
8x + 33 Is your answer
Please help!!!!!!!!!!!!
Which measure is equivalent to 4 feet 5 inches?
Answer:
53
Step-by-step explanation:
4ft x 12 = 48 in
48 in+ 5 in= 53
4 feet and inches will be equal to 53 inches .
Given,
4 feet 5 inches
Now conversion of inches to feet,
Few unit conversions,
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
1 feet = 12 inches
Here we need to convert feet into inches,
So,
1 feet = 12 inches
4 feet = 48 inches
Hence the height will be,
48 inches + 5 inches = 53 inches
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can someone help me with this
Solve the following equation for "y": 3x-4y=20
Answer:
Step-by-step explanation:
20=3x-4y, add 4y to each side
4y+20=3x, subtract 20 from each side
4y=3x-20, divide each side by 4
y=(3x-20)/4 or if you prefer
y=0.75x-5
Which conic section does the equation below describe? x+2^2=4y-3
Answer: Circle
Step-by-step explanation:
What is the measure of angle AEF
Answer:
B) 144°
Step-by-step explanation:
<AEC=108
<EDG= 180-108=72
<DEF=180-72=108
<AEF=360-108-108=144
SOMEONE ANSWER MY FREAKING QUESTIONS!!!!!!
please
Answer: i dont know trie asking linder0917
Step-by-step explanation:
ok
The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years
Answer:
suppose: the age of the man now is x
the sum of the ages of his two sons now is y
(x, y > 0, x, y € N)
so the age of the man 10 years ago is x - 10
the sum of the ages of his 2 sons ten years ago is
y - 20
because now, The age of a man is twice the sum of the ages of his two sons => x = 2y
because Ten years ago, his age was five times
the sum of their ages
=> x - 10 = 5( y - 20)
<=> x - 10 = 5y - 100
<=> 2x - 20 = 10y - 200
<=> 2x = 2y.5 - 180
but x = 2y => 2x = 5x - 180
<=> 3x = 180
<=> x = 60
=> his present age is 60
Can someone please help!!!
Answer:
I think is the 3rd one but I am not sure
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
15 points really need the right answer :(
Answer:
-4x^9
Step-by-step explanation:
Please assist me with this Distribution Problem
9514 1404 393
Answer:
1. 6.1 to 10.3
2. 9.6 hours
3. 7.5 hours
Step-by-step explanation:
1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...
8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]
The range of hours is 6.1 to 10.3 hours.
__
2. 2.5% of the distribution is above μ +2σ, or ...
8.2 +2(0.7) = 9.6 . . . hours
__
3. The bottom 16% of the distribution is below μ -σ, or ...
8.2 -0.7 = 7.5 . . . hours