Answer:
The estimated number of bacteria after 20 hours is 40.
Step-by-step explanation:
This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:
[tex]n(t) = n_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial number of bacteria, dimensionless.
[tex]r[/tex] - Increase growth of the experiment, expressed in percentage.
[tex]t[/tex] - Time, measured in hours.
[tex]n(t)[/tex] - Current number of bacteria, dimensionless.
If we know that [tex]n_{o} = 30[/tex], [tex]r = 1.4[/tex] and [tex]t = 20\,h[/tex], then the number of bacteria after 20 hours is:
[tex]n(t) = 30\cdot \left(1+\frac{1.4}{100} \right)^{20}[/tex]
[tex]n(t) \approx 39.616[/tex]
[tex]n(t) = 40[/tex]
The estimated number of bacteria after 20 hours is 40.
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations)
Answer:
How much per a pencil and eraser? I'll help you out from there :)
Mrs. Ryan purchased 25,000 grams of clay for her art classes at school. If she has 100 students, how many grams of clay will each student get if it is divided equally?
25 grams
100 grams
250 grams
2,500 grams
Write 7 more than w is 25 as an algebraic equation.
Answer:
w+7=25
Step-by-step explanation:
if you need it solved its
w+7=25
-7 -7
w=18
Answer:
7+w=25
Step-by-step explanation:
when it says more than, that's addition, so 7 more than w is 7+w
25 is the answer so that's self explanatory
Please help me I am confused
Helpppppppppppppppp it is due now
You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?
Answer:
Step-by-step explanation:
Step-by-step explanation:
Since, after making the diagram of this situation,
We get two triangles ABC and CED,
In which AB = 90 feet, BC = 36 feet and CE = 100 feet,
Now,
( Vertically opposite angles )
( Right angles )
By AA similarity postulate,
By the property of similar triangles,
Since, point D represents the lighthouse.
Hence, the distance from point E to the lighthouse = 250 feet
A game uses a single 6-sided die.
To play the game, the die is rolled one time, with the following results:
Even number = lose $10
1 or 3 = win $3
5 = win $8
What is the expected value of the game?
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?
At the electronics store, James bought a headset that was originally priced at $90 for $60. What was the percent of change in the headset's price?
Answer:
30%
Step-by-step explanation:
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f
Answer:
Step-by-step explanation:
its a or e
Answer:
A
Step-by-step explanation:
A is bicycles to skateboards which is 10:6
Which is true of the standard form of the equation of the line graphed the value of a can be
Answer:
Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?
Step-by-step explanation:
answer-4p - 7 = 13
ANSWER QUICKLY!!!11!!!1!1
what is 3/4 divided by one - sixths
Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *
The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.
The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.
The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.
Answer:
Your answer would be The third option or C
Step-by-step explanation:
Answer:
c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
Step-by-step explanation:
math answer
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6
Answer: y = x/4 + 2
Y equals one fourth x plus two.
Step-by-step explanation:
There seems to be a typo on answer choice c.
Slope intercept form is y= mx + b
m is the slope. b is the y-intercept.
The y-intercept is given here in the coordinate (0,2) It is +2
Slope is rise/run.
Rise: Difference in given y-values is 4-2 = 2.
Run: Difference in x-values is 8-0=8.
So the slope is 2/8 = 1/4
The equation is y = 1/4 x + 2
A company manufactures batteries in batches of 26 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch.
Answer:
The standard deviation for the number of defects per batch is 0.87.
Step-by-step explanation:
Let X denote the number of defective batteries per batch.
A company manufactures batteries in batches of n = 26.
It is provided that the rate of defects is, p = 0.03.
Each battery is defective independently of the others.
The random variable X follows a binomial distribution.
The standard deviation of a binomial distribution is:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Compute the standard deviation for the number of defects per batch as follows:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{26\times 0.03\times (1-0.03)}\\\\=0.86982757\\\\\approx 0.87[/tex]
Thus, the standard deviation for the number of defects per batch is 0.87.
A line passes through the points (8, 1) and (6, 7). What is the slope?
Answer:
-3
Step-by-step explanation:
7-1=6
6-8=-2
A line connects the points (8, 1) and (6, 7). The angle is -3.
What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.Therefore,
Slope (m) = ΔY/ΔX
= 3/-1
= -3
The slope = -3
θ = arctan(ΔY/ΔX) + 180°
=1 08.43494882292°
ΔX = 6 – 8 = -2
ΔY = 7 – 1 = 6
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = -3x + 25
When x = 0, y = 25
When y = 0, x = 8.3333333333333
Hence, A line connects the points (8, 1) and (6, 7). The angle is -3.
To learn more about slope, refer to:
brainly.com/question/16949303
#SPJ2
ASAP Evaluate the expression: 20.16(0.375)
Answer:
7.56
Step-by-step explanation:
Just multiply
20.16 times 0.375
7.56
Answer:
Hii
The answer is 7.56.
Step-by-step explanation:
you multiply the value outside of the bracket with the value inside of the bracket.
Which is the last operation preformed when evaluating (8-2x)²+4 for x=3
A addition
B multiplication
C subtraction
D applying the exponent
Please hurry
Answer: I think its c sorry if im whrong
Solve for w.
w−8=32
w = 4
w = 24
w = 40
w = 256
Answer:
w=40
Step-by-step explanation:
Let's solve your equation step-by-step.
w−8=32
Step 1: Add 8 to both sides.
w−8+8=32+8
w=40
Choose the correct rule for the graph shown. Please Help 30POINTS
Answer:
B
Step-by-step explanation:
Answer:
B) y=3x
Step-by-step explanation:
3/4 ^ 5/12 = 3/4 x _______
9. Which expression is equivalent to 14(8x−36)+2x? (1 point)
a. 10x - 36
b. 30x
c. 4x - 9
d. 4x - 36
Answer:
Step-by-step explanation:
14(8x-36)+2x
112x -504 +2x
114x-504
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.
Answer:
1) 28 divided by 7 equals 4
2) 32 divided 8 equals 4
3) 4000 divided by 4 equals 1000
i hope these are right!
Answer:
4
1/4
1000
multiply it by the reciprocal of the 2nd number
Step-by-step explanation:
PLEASE HELP I SUCK AT MATH
The answer to the question is B. [tex]y=4x[/tex]
[tex]4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20[/tex]
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ
Answer:
Stands Steakhouse has 210 servers.
Step-by-step explanation:
5 servers to 1 cook.
5/1 = x/42
x = 5 * 42 = 210