The number of bacterial population after 5 hours is; 816
The formula for the exponential growth of the population is;N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
We are given;N_o = 480
r = 11.2% = 0.112
t = 5
Thus;N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
Approximating to a whole number gives; N(5) = 816 bacteriaRead more about exponential growth at; https://brainly.com/question/15316908
I need help with numbers 17 and 18.
Answer:
17. D
18. C
Step-by-step explanation:
For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.
17.The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.
As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:
D. Y'(11, -8)
__
18.Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.
R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)
R' = (-2/3, 1) . . . . . matches choice C
The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?
Based on the information given, it should be noted that the area of the pages will be 112cm².
Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.
Therefore, the area of the pages will be calculated thus:
= Length × Width
= 8cm × 14cm
= 112cm²
Therefore, it can be concluded that the area of the pages will be 112cm².
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Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.
A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+
Answer:
(8x+3)<23 is the same as -(-8x-3)<23
Step-by-step explanation:
-(-8x-3)<23 Original equation
(8x+3)<23 [Remove the parentheses]
It is the same equation as the chosen answer: (8x+3)<23
Answer:
Choice E.
Step-by-step explanation:
-(-8x – 3) < 23
-8x - 3 > -23
-8x > -20
x < 20/8
x < 2.5.
E:-
(8x + 3) < 23
8x < 20
x < 2.5.
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5
I need help with this question
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
look at this inequality
What is the probability that a student took AP Chemistry, given they did not get into their first-choice college? Enter
your answer as a decimal to the ten thousandths place.
Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Did not get into their first-choice college.Event B: Took AP chemistry.According to the chain given, the percentages associated with not getting into their first-choice college are:
0.1375(chemistry).0.1575(physics).0.24(Env Sci).0.07(Biology).Hence:
[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]
The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]
0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
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Answer: 0.2273
Step-by-step explanation: because it says so <3
Sara bought 12 roses for $30. Find the unit price
look at screenshot to see question
f(x) = -3x – 12
g(x) = 3x2 – 2x – 14
Answer:x
=
2
3
,
−
1
Step-by-step explanation:
Can someone help me plsss
Pls help me with this question
Step-by-step explanation:
A
the answers are already right in picture. we only need to count.
maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.
and "prism" is simply another word for "box".
so, we see that there are 5 cubes fitting along the length of the prism.
so, the length of the prism is
5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.
3 cubes are the width of the prism.
so, the width of the prism is
3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.
B
we know the height of the prism is 3/4 ft.
1 ft = 12 in
3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in
how many layers of cubes fit into 9 in ?
well, that is what we use division for :
9 ÷ 1 1/2
this is the same as
9 / 3/2 = (9/1) / (3/2)
to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :
(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6
so, 6 layers of the cubes fit into the prism.
I need help on this question
No links!
Answer:
>
Step-by-step explanation:
> means greater than and because 79 is greater than -5, the correct sign you would use will be >
79 > -5
Find the value of x. Please help me. I can’t find the answer.
Answer:
Step-by-step explanation:
The two sides opposite the angles marked as equal are themselves equal
4x + 8 = 48 - x Add x to both sides
4x + x + 8 = 48 Combine
5x + 8 = 48 Subtract 8 from both sides.
5x + 8 - 8 = 48 - 8 Combine
5x = 40 Divide by 5
5x/5 = 40/5
x = 8
Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.
Answer:
142
Step-by-step explanation:
Hope this helps
What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm
Answer:2*225*pie/360*3
Step-by-step explanation:
The required length of the arc is 11.78cm
Angle θ = 225 degrees
radius = 3 cm
arc = ?
What is an arc?
Arc is the measure of angle on the circumference of circle.
Length of an Arc = θ × (π/180) × r
Length of an Arc =225 × (π/180) ×3
= 11.78
Thus, the required length of the arc is 11.78 cm
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What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?
The cash payment for the article is RS. 2,260.
A discount reduces the price of an item. The article becomes cheaper after the discount.
Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000
VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the VAT is levied,
Cost of the article = (100 + 13%) x 2000
1.13 x 2000 = RS 2,260.
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need help on this one
Answer:
[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]
Step-by-step explanation:
[tex]x=2\sqrt[3]{y-3} +4[/tex]
switch the x and y, then use order of opperations
if laura has a school loan of $420,a car loan of $300 and rent of $550,what must she budget just to pay those expenses?
Answer:
1270
Step-by-step explanation:
420+300+550
$420+300=720+550=1270
Help please just this 1-5 please answer correctly but real people only answer correctly I'll do anything
Answer: Check the answers below
Step-by-step explanation:
Remember: slope is rise/run
1) 3/15 = 0.2 ft
2) 4/3
3) 2
4) 6/8
5) 2/9
HELP PLS !!! IM IN A TESTT!
Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?
Answer:
He worked 7 hours each day, last week
Step-by-step explanation:
-$420 earned last week
-He worked for 5 days (420 / 5)
-He earns $12 per hour
- How many hours he worked is unknown (x)
Equation
12x = 420/5
12x = 84
x = 7
PLEASE HELP ME!!!!
Which table represents the increasing linear function with the greatest unit rate?
Answer:
the answer should be C
Step-by-step explanation:
Hope this helps!
How i can answer this questions
Answer:
B and C
Step-by-step explanation:
[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]
A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
27/50
Step-by-step explanation:
You would have to subtract 50 and 23 to find out how many adult tickets there was
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
27 ounces
Step-by-step explanation:
36 / 4 = 9 x 3 = 27
32-?-10+4=16 what is the missing number?
Can someone help answer b plzzz
In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.
I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)
Answer:
It would be y=0.5x+1
Step-by-step explanation:
1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept
Need NOW help FAST PLS . hs geometry
Hope you could get an idea from here.
Doubt clarification - use comment section.