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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True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False
a spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.
What is the theoretical probability of landing on T?
What is the experimental probability of landing on a consonant?
Compare the theoretical probability to the experimental probability of landing on H.
Answer:
there's four of them so it's a movie 25 / 100 would be the probability of landing on them
The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.
What is probability?The probability is given as,
P = (Favorable event) / (Total event)
A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.
Section Frequency
M 28
A 21
T 26
H 25
The theoretical probability of landing on T will be given as,
P(T) = 1/4
P(T) = 25/100
The experimental probability of landing on a consonant is given as,
P(Consonant) = 79 / 100
The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.
More about the probability link is given below.
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Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.
Answer:
X= 6.2 + 68 ???
Step-by-step explanation:
I'm not sure that's what I would write in an exam
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Given:
A figure of a right triangle.
To find:
The missing side by using the trigonometric ratios.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\cos A=\dfrac{AC}{AB}[/tex]
[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]
[tex]0.857=\dfrac{b}{270}[/tex]
Multiply both sides by 270.
[tex]0.857\times 270=b[/tex]
[tex]231.39=b[/tex]
[tex]b\approx 231.4[/tex]
Therefore, the missing side length is b=231.4 inches.
The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?
an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1
Answer:
C
Step-by-step explanation:
The formula for any geometric sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.
We want the formula for the geometric sequence:
-3, -6, -12, -24, ...
Note that our first term is -3. Hence, a₁ = -3.
Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.
Therefore, by substitution, we acquire:
[tex]a_n=-3\cdot (2)^{n-1}[/tex]
Our answer is C.
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
If the total cost is $30, use your expression to determine the cost per person.
Answer:
Well, how many people are there?
Step-by-step explanation:
We can't solve this without the number of people.
what is the answer for number 1?
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
h(t)=-16t^2+80t+64 after 40 feet off the ground
Answer:
Part A) The potato hit the ground at t=5.70 seconds (see the explanation)
Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)
Step-by-step explanation:
Stephen has $157.92 in his savings account. He deposited d more dollars into his account after receiving a gift from his grandmother. Enter an equation that represents the total amount of money, t, Stephen now has in his savings account.
Answer:
157.92 + d =t
Step-by-step explanation:
subtract (-4305) from |(-2508)+(-3502)|
answer:
10315
I used a calculator
step by step
(- 4305) - |(-2508) + (- 3502)|
Rewrite
Remove the parentheses
4305 - |
Calculate
4305 - |
- 2508 - 3502
- 6010
Calculate the absolute value
- 4305 - 6010
Calculate
Solution
- 10315
The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%
Answer:
15,000,r=30%
Step-by-step explanation:
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answer:
8.2m
Step-by-step explanation:
Formula : Area = base x height
rearrange : Base = area ÷ height
37.72÷4.6=8.2m
Answer:
8.2
Step-by-step explanation:
Combine Like Terms 4a + 7a
Answer:
[tex]11a[/tex]
Step-by-step explanation:
[tex]4a + 7a = 11a[/tex]
Hope this helps you
Can I have the brainliest please?
Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3
*BTW this is pre-algebra*
Answer: 16 times 20 is 320
Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate
Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2
Answer:
13
Step-by-step explanation:
find the measure of each angle with an expression.
there should be 2 answers.
PLS HELP
determine whether the data in the table display exponential behavior. Explain why or why not
please help
Answer:
A
Step-by-step explanation:
What does this question equal: x + 11 < 20
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence
Answer: After Nancy bought the sandwich, the cashier handed back $2.36
Step-by-step explanation:
Which of the following theorems verifies that GHI = UVW
Correct Answer: C / AA
Jim is 5 feet tall. What is his height in inches?
Helppppppp
Answer:
5 feet = 60 inches
Step-by-step explanation:
Every foot is 12 inches, so.. this problem can be turned into simple multiplication..
12 x 5= 60
So, Jim is 60 inches tall.
Hope this helps! :)
Have a nice day!♥
The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621
100 hundred times larger
What 3D solid does this net create
I think it makes a square cuz it do be looking like a square
Answer:
cuboid.
................
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?
Answer:
one is 2 inches bigger that the other.
Step-by-step explanation:
becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .
The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm
Answer:
[tex]Height = 2.5[/tex]
Step-by-step explanation:
Given
[tex]Volume = 35[/tex]
[tex]Length =7[/tex]
[tex]Base=4 cm[/tex]
Required
Determine the height
The volume is calculated as:
[tex]Volume = Height * Base\ Area[/tex]
Since, it has a triangular cross-section, the expression becomes:
[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]
So, we have:
[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]
[tex]35 = Height * 14[/tex]
[tex]Height = 35/14[/tex]
[tex]Height = 2.5[/tex]
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
-6,144
-118,098
-3,072
-354,294
Answer:
3072
Step-by-step explanation:
double the number until the 11th time which would be -3072 so C
I am so smart lol lol lollololololololololollololololololollolololololollololo
Answer:
2. c. 1/2
3. d. 13/16
5. d. 5/12
1. b. simplified
4. b. Nicholas did not divide the numerator and..............
Answer:
i know it’s been months since you posted this question but...
Step-by-step explanation:
2. c) 1/2, 9/18 / 9 = 1/2
3. d) 13/16, 26/32 / 2 = 13/16
5. d) 5/12, 10/24 / 2 = 5/12
1. b) simplified, you can’t simplify 8/9, it’s already smaller.
4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.
why does that say 20/24 tho?- i think it meant 20/30.
i hope this helped! also, a definition of gcf:
GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.
Laura says her triangle has angle measures of 100', 88°, and 72°.
Answer:
First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.
Step-by-step explanation:
Mark me brainly please hop this helps.