Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
To learn more on exponential function click:
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3(2X+3)+2(3X+2)=9X+4
Answer:59
Step-by-step explanation:
differentiate between Charles babbage's and Alan turing's computer designs
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
14
Step-by-step explanation:
un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Areas..
Bienvenidos al concepto de áreas.
Área de un triángulo = 1/2 * base * altura,
aquí, base = 250, altura = 180, así que obtenemos como
Área = 1/2 * 250 * 180
Área = 250 * 90
Área = 22,500 mtrs.
The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
First, let's calculate the area of the triangular piece of land in square feet:
Area = (1/2) x base x height
Area = (1/2) x 250 ft x 180 ft
Area = 22,500 sq. ft
To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:
Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft
Area ≈ 2,094.2 sq. m
Rounding to the nearest tenth of a square meter, we get:
Area ≈ 2,094.2 sq. m
Therefore,
The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.
Learn more about triangles here:
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The complete question:
A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
help
There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?
35 rooms + 3 suites = 38 total rooms.
38 / 4 = 9.5
2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each
2 Housekeepers need to clean more rooms than the other two.
How
Solve The D. E
dy/dx=2x^5 y^3 - 4y/x
Which equation represents a linear equation
Answer:
I'm thinking it's A or C
Step-by-step explanation:
I'm sorry I can't decide ;-;
Answer:
The 4th answer.
Step-by-step explanation:
It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.
SOMEONE SAVE ME FROM FAILING PLEASE
Answer:
Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
Answer:
y - 3 = -2(x + 4)
What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm
Answer:
24mm
Step-by-step explanation:
I did the test and got it right
hope this helps :)
Answer:
B)24mm
Step-by-step explanation:
got it right edge 2021
Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)}
Answer:
1. is a function
2.is a function
3. is function
4 is not function
5. is not function
Step-by-step explanation:
Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o
Answer: $2066
Step-by-step explanation:
PLEASE PLEASE PLEASE PLEASE HELP!
Answer:
x=40°
Step-by-step explanation:
x=180-75-65=40°
solve
y+ 5- y + 4 =
Answer:
9
Step-by-step explanation:
its 9 lol
Answer:
9
Step-by-step explanation:
Solve:
y-y= 0y or 0
5+4= 9
Hope this helps!
If a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs
THX mark me brainlyiest
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment
Answer:
There were 70 choices for the four locations to apply the new ointment
Step-by-step explanation:
The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the four locations to apply the new ointment
Four locations from a set of 8. So
[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]
There were 70 choices for the four locations to apply the new ointment
Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)
Answer:
Step-by-step explanation:
You need to find the slopes of the line segments.
If the lines are perpendicular to each other, the product of their slopes is -1.
If the lines are parallel, they have the same slope.
harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help
A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.
Answer:
The answer is "Choice A".
Step-by-step explanation:
[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]
In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.
HELP solve the proportion x+1/16 = 17/32
Answer:
Exact Form:
x=15/32
Decimal Form:
x=0.46875
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Exact Form:
x=15/32
Decimal Form:
x=0.46875
Hope this helps!!!
Answer:
Exact Form : x = 15/32
Decimal : 0.46875
Round 7.5 to nearest whole number
Answer:
The answer is 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
When a number has .5 after it you round up.
So, if a number has 5, 6, 7, 8, or 9 after the decimal round up
If a number has 1, 2, 3, or 4 after the decimal round down
Hope this helps!!
- Kay :)
The figure shows a square with sides of length 1 and a diameter of length x.
How can you determine the value of x?
Find x.
Pls help i don’t know what this is or how to figure it out
Answer:
√2 unitsStep-by-step explanation:
It should be diagonal not diameter.
The diagonal of the square is √2 time the side.
The side given 1 unit, then the diagonal is x = √2 units
9514 1404 393
Answer:
x = √2
Step-by-step explanation:
Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...
c² = a² + b²
The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...
x² = 1² + 1²
x² = 2
x = √2 . . . . . . the length of the diagonal (diameter)
_____
Additional comment
The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...
side : side : hypotenuse = 1 : 1 : √2
(You will see this again.)
Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98
Answer:
A
Step-by-step explanation:
sin 82 I think but i just try
6/10 times 1/5 pls hurry
Answer:
is your answer 6/50
Step-by-step explanation:
6/10 X 1/5 = 6/50
Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?
Answer:
She can spend $38 and have $5 left.
Step-by-step explanation:
$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.
Answer:
$5
Step-by-step explanation:
Subtract 48 by 38
48 - 38
You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.
What is x. PLEASE HELP NEED ANSWERS NOW. M=
please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)
Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?
Equation:
n=
Answer:
nweoksowjxu928idvdiwd9w
Help plz:)))I’ll mark u Brainliest
Step-by-step explanation:
The angle where the shadow ends is
[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]
The distance from the tree to the angle of end shadow equal (60-20)=40ft
So the tall of tree is
[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]