41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
Answers
An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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Related Questions
What is the volume of the triangular prism?
12 cm
3 cm
8 cm
Answers
Answer:
Find the area of the triangle side, then multiply by the length of the prism.Area of triangle = 1/2 x height x baseArea = 1/2 x 2 x 3 = 3 square cmVolume = 3 x 4 = 12 cubic cm.Answer is A)
Step-by-step explanation:
ST is tangent to OQ. What is m
Answers
Sum of the interior angle of any triangle must equal to 180 degrees thus :
[tex]53 + 90 + t = 180[/tex]
[tex]143 + t = 180[/tex]
[tex]t = 37[/tex]
Thus angle T has a measure of 37° .
Answer: 37
Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37
what is the answer ?
Answers
The angle B will be equal to ∠B=53.13 degrees.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
It is given that:-
Three sides of the triangle are:- a= 3, b=4 and c =5
The angle B will be calculated by the following formula;-
[tex]\angle B=Cos^{-1}\dfrac{a^2+c^2-b^2}{2ac}\\\\\\\angle B=Cos^{-1}\dfrac{3^2+5^2-4^2}{2\times 3\times 5}\\\\\\\angle B=Cos^{-1}(0.6)\\[/tex]
∠B=53.13 degrees
Hence the angle B will be equal to ∠B=53.13 degrees.
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question 2. write the product using exponents
Answers
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given expression ,
[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]
this can also be written as ,
[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]
hope helpful ~
Find the 14th term of the geometric sequence 2, 6, 18,
Answers
Answer:
52
Step-by-step explanation:
alfredo va a comprar 850 dolares si cada dolar cuesta en promedio 2945 pesos cuanto dinero en pesos debe llevar alfredo
Answers
Answer:
He will need $2,503,250 pesos.
Step-by-step explanation:
2,945 x 850 = 2,503,250
A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk
Answers
Will someone help me solve this?
sally was given a standard deck of 52 cards she randomly chose 3 cards from the deck replacing the card befor each time. what is the probability of choosing an ace, a queen, and a six?
Answers
Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.
In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.
But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:
AQ6, A6Q, QA6, Q6A, 6AQ, 6QA
That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.
Then the probability of getting a hand consisting of an ace, queen, and six is
3! • 1/13³ = 6/2197 ≈ 0.002731
can someone help me with this question
Answers
Answer:
the answer will be 1 7/3 I believe
Ms Hieronymus goes through 1/2 a package of pencils every 1/8 a month for her students How many packages does Ms Hieronymus need for 10 months
Answers
Answer:
Every 1/8 month (ie about 4 days) she uses 1/2 a package
So every month she will use 8 x (1/2) = 4 packages
So in 10 months she will use 4 x 10 = 40 packages
i just dont know the answer
Answers
Answer:
(3,7) (4,4) (1,2)
Step-by-step explanation:
180 degrees: (x, y) —> (-x, -y)
Which is the next step in the following construction of an equilateral triangle?
circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C
Answers
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.
A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
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Handedness: 18 left-handed
22 right-handed
The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A) 0.410
B) 0.357
C) 0.333
D) 0.250
If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.
The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
Answers
Answer:
Let x be the number of left handed female students and let y be the number of left handed male students.
Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.
x+y=18 and 5x+9y=122
Solving this system gives x=10 and y=8.
Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is the fraction 50/122
which to the nearest thousandth is 0.410.
T is average time spend by shoppers in minutes
N average number of shoppers.
Here, shoppers/hour =84.
Hence r=
60
84
T=5
Hence N=rT=
60
84
×5=7
Average number of shoppers waiting at checkout =7
Answer:
EMMA ITS KAIDN. text back.
Step-by-step explanation:
I had already answered this.
the jar contains 22 marbles 12 purple 8 red and 2 green one marbles drawn and put back then a 2nd marble is drawn, what is the probability that both marbles were red?
Answers
Explanation:
There are 8 red marbles out of 22 total
8/22 = 4/11 is the probablity of randomly selecting red.
If the first marble is put back, then that probability will not change.
The probability of two red marbles in a row is (4/11)*(4/11) = 16/121
Side note: 16/121 = 0.1322 = 13.22% approximately
1-Find the measure of
1. 226 degrees
2. 113 degrees
3. 134 degrees
4. 67 degrees
2-Find the circumference of the circle 7 cm. Use 3.14 for pi.
1. 21.98 cm
2. 38 cm
3. 3.5 cm
4. 7 cm
3-Classify the triangle by its sides and angles: 15.5 in, 15.5 in and 15.5 in.
1. Scalene, right
2. Equilateral, right
3. Equilateral, acute
4. Isosceles, acute
4-What are the coordinates of the image of point L(4,2) after a reflection over the line y = -1.
1. (-5,2)
2. (4,-4)
3. (3,1)
4. (4,-2)
5-A point P has coordinates (3.2). What are it’s new coordinates after reflecting point P over the y-axis.
1. (-3,-2)
2. (3,-2)
3. (3,2)
4. (-3,2)
Answers
Solve for x
58° 22 X
Answers
Answer:
x = 13.75 units
Step-by-step explanation:
Right triangle
tan 58 = opposite side / adjacent side
tan 58 = 22/x
x = 22/ (tan 58) = 13.75
mary drove for four hours on an interstate highway at a constant rate of 60 miles per hour. during the next hour, she drove on a state road at a slower rate of 40 miles per hour. how many miles did mary travel on her trip?
Answers
Step-by-step explanation:
speed = distance/time
distance = speed × time.
so, for the first 4 hours
distance = 60 m/h × 4 h = 240 miles
and for the next hour
distance = 40 m/h × 1 h = 40 miles
she traveled therefore
240 + 40 = 280 miles
the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took
What is the sum of the solution 4|3x-5|-5=-1
Answers
4|3x-5|-5=-1
|12x-20|-5= -1
|12x-20|= -1+5
|12x-20|= 4
x1-> 12x-20= 4
12x= 4+20
x= 24/12
x=2
x2-> -12x+20 = 4
-12x = 4-20
-12x= -16
x= -16/-12
x= 4/3
Expand and simplify 3(x-4)(2x+5)
Answers
3(x-4)(2x+5)
= 3×(x-4)×(2x+5)
= (3x-12)(2x+5)
= 6x²+15x-24x-60
= 6x²-9x-60
[tex]3( {2x }^{2} + 5x - 8x - 20) \\ 3( {2x}^{2} - 3x - 20) \\ {6x}^{2} - 9x - 60 \\(6x + \frac{5}{2} )(x - 4)[/tex]
To divide x3y by x4y, first divide y by y to get x3/x4. Which of these would you do next to solve?
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The division of x³y by x⁴y can be done as,
x³y/x⁴y
= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾
= x⁻¹
= 1/x
Hence, the solution of the division of x³y by x⁴y is equal to 1/x.
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344/299 = x
what is x?
Answers
Answer:
Mixed Number Form: x = 1 45/299
Decimal Form: x = 1.15050167…
Step-by-step explanation:
Question:
9x - 2 = 4x + 9
Answers
Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
In ΔRST, = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch
Answers
Answer:
<r=29
Step-by-step explanation:
What is the interquartile range of the set of data this box-and-whisker plot represents?
Answers
The interquartile range = upper quartile - lower quartile = 18 - 15 = 3 (option A).
What is Interquartile Range (IQR)?The interquartile range (IQR) of a data = upper quartile - lower quartile.
In the box-and-whisker plot given:
Upper quartile = 18Lower quartile = 15Interquartile range (IQR) = 18 - 15Interquartile range (IQR) = 3Learn more about the interquartile range on:
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The first four terms of a sequence are shown on the graph below.
What can be concluded about the sequence?
The common ratio of the sequence is 2.
The common difference of the sequence is 2.
The next term of the sequence is represented by the point (5, 64).
The next term of the sequence is represented by the point (5, –64).
Answers
Answer:
The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
From inspection of the graph, the first four terms of the sequence are:
(1, -4)(2, 8)(3, -16)(4, 32)Each x-value increases by 1 for each consecutive term.
Each y-value is the previous y-value multiplied by -2.
Therefore, it is a geometric sequence with a common ratio of -2.
Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:
x = 4 + 1 = 5y = 32 × -2 = -64So, the next term of the sequence is represented by the point (5, –64)
Im honestly so confused and need help with it because i just want to go on to the next question♀️
Answers
Answer:
1.05 (0.2x + 1/2y + 0.75z)
Step-by-step explanation:
Finding the cost of each item :
1 Sweatshirt
Cost = $xDiscount = 80% offPrice = (100% - 80%)(x)Price = 0.2x2 T-shirts
Cost = $yDiscount = Buy one, get one 50% offPrice = (50%)(y)Price = 1/2y1 Pair of Pants
Cost = $zDiscount = 25% offPrice = (100% - 25%)(z)Price = 0.75zNow, the final cost (after applying sales tax) is :
1.05 (0.2x + 1/2y + 0.75z)Option #1Someone help please answer question 1
Answers
Answer:
Reflection in line x=1
Step-by-step explanation:
If you draw a line of all values where X = 1. It forms a line between the 2 shapes and by reflecting in that line, you will get Shape B from shape A
A, B & C form a triangle where Z
BAC = 90°.
AB = 3.3 mm and CA = 7.7 mm.
Find the length of BC, giving your
answer rounded to 1 DP.
Answers
Answer:
BC≈8,38
Step-by-step explanation:
AB=a
BC=c
CA=b
a²+b²=c²
3.3²+7.7²=c²
√70,18=√c²
c≈8,38
A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
Answers
Answer:
1/2 this is the correct answer to the question
is the only plane shape in which every point on the figure is the exact same distance from the center.
Answers
The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle
How to Identify a Circle?
There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.
Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.
The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.
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