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Question is in screenshot below
Show your work if you can
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Answers
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
------------------------
As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
------------------------
At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
Related Questions
plz help this paper is worth 50 points
Answers
Answer:
c
Step-by-step explanation:
Answer:
Choice A
Step-by-step explanation:
Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon
Answers
Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
I need help plzzzz percent equations blank% of $30 =3
Answers
Answer:
10%
Step-by-step explanation:
Hello I can help you with this question. Lets start.
The question is asking what percent of $30 is 3
so i think u actually meant $3 right but anyways
30 is 10 times 3
then clearly it would be 10%
gogo that's the answer!
Write an equation in Point Slope Form that has a slope of -5 and passes through the point (4,9)
Answers
I hope that will be help full to u
Step-by-step explanation:As we know point slope form , (Y- Y1) = m (X- X1) As given data , m = -5(X1,Y1) = (4, 9) X1= 4 , Y1= 9putt in the above equation these values, we get Y-9 = (-5) ( X-4) Y-9= -5X +20Y= -5X+29 AnsAs more years go by, the prediction (extrapolation) becomes reliable.
Answers
Answer:
Less
Step-by-step explanation:
edge 2020
Answer:A.)less
Step-by-step explanation:
edge 2023
The double number lines show the ratio of minutes to days. How many minutes are in 222 days?
Answers
Answer:
319680 minutes
Step-by-step explanation:
60 minutes in an hour
24 hours in 1 day
60 x 24 = 1440 minutes
1440 x 222 = 319680 minutes
Answer: the answer is 319680
Step-by-step explanation:
because there are 24 hours in a day, which is 1440 minutes just multiply 1440 minutes by 222 days.
What would these be :)
Answers
f= 7
d= 1.9
it’s the answer
What is the quotient of 1 +i ? 3 +4i
Answers
Step-by-step explanation:
pls check the answer here is ur answer
Answer:
7/25-1/25i
Step-by-step explanation:
NEED HELP ASAP I WILL MARK YOU BRAINLIST
Answers
Answer:
The correct answer is: Option H: 14.4 units
Step-by-step explanation:
CD is a line segment and let M be the mid-point of the line segment.
As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point
Given
C( 2,-1) => (x1,y1)
M(8,3) => (x2,y2)
The distance formula is given by:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values
[tex]|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211[/tex]
We know that
[tex]CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4[/tex]
Hence,
The correct answer is: Option H: 14.4 units
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6<= x <= 6?
Answers
Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 6, 6 ]
From the graph
f(b) = f(6) = - 2
f(a) = f(- 6) = 10 , thus
average rate of change = [tex]\frac{-2-10}{6-(-6)}[/tex] = [tex]\frac{-12}{12}[/tex] = - 1
step by step explanation:
I don't know
sorry really wanna help
Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
carlos got 25 and Jonathan got 15.
Step-by-step explanation:
5+3=8 40/8=5
5×5=25. 5×3=15
Divide 129/4.3 by 4.3
Answers
Answer:
6.97674418605
Step-by-step explanation:
thats what i got .-.
Answer:
6.97674418605Step-by-step explanation:
PLS HELP ME PLS whats 2x6x8 (5/8)
Answers
Answer:
96 5/8?????
if its wrong i sorryyy
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
If you mean multiplying them all, then:
2x6x8=96
5/8=0.625
0.625x96=60
yay its 60
what is π + e its very simple
Answers
Answer:
5.85987448
Step-by-step explanation:
Pie
Answer:
the answer to your question is 5.85987
Find:11/3 ÷ 2/3
the quotient is 5 and _____
Answers
Answer:
5.5 quotient 5 and rest 1
But I would answer quotient is 5 and half
Step-by-step explanation:
11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5
So the quotient is 5 and rest is 1
Hope this helps, have a good day
Answer:
5 1/2
Step-by-step explanation:
11/3÷2/3
Applying the fractions formula for division,
=11/3×3/2
=33/6
Simplifying 33/6, the answer is
=5 1/2
35,423 ÷ 15 with a remainder
Answers
Answer:
Brainliest
Step-by-step explanation:
35,423 ÷ 15= 2361 R 8
If the area of the base of a cone is 58 pi square inches, and the height is 3 inches, then which expression represents the volume of a cylinder?
Answers
I need help guys go to my account and answer my question pls I need help pls,pls,pls pls pls,
If m 6=51, then m 7=
Answers
Answer:
m 7=129
Step-by-step explanation:
if 6 and 7 are right next to each other. it makes 180 degrees so you would take 180-51 to get your answer
how do you graph y is less than or greater to x?
Answers
Answer:
I was taught to rearrange the equation so "y" is on the left and everything else on the right, plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>), then shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Step-by-step explanation:
Hope this helps :)
4. Express each of the following in m/s.
(a) 65 cm/s
(b) 367 km/h
(c) 1000 cm/min (d) 86 km/min
Answers
[tex]{ \large{ \purple{ \sf{Hello \: there!}}}}[/tex]
As we know that, 1 cm = 0.01 m
So,
(a) 65 cm/s = 0.65 m/s
b) 367 km/h = (367 × 5 ÷ 18) m/s
c) 1000 cm/min = (1000 × 60 ÷ 100) m/s
d) 86 km/min = (86 × 60 ÷ 1000) m/s
[tex] \star \:{ \underline{ \boxed{ \sf{ \blue{Thank \: you : ) }}}}}[/tex]
Find the area. Simplify your answer.
Answers
18. A storage facility has small units designed to hold 40 - 50 large boxes, a large box on average weighs 85 lbs. On average, if someone fills the container to capacity, how much will all the boxes they store weigh?
a. 3400 lbs
b. 4250 lbs
c. 4175 lbs
d. 3825 lbs
Answers
4. Jean Junction is selling jeans at 15% off the regular price. What is the sale price of a pair of jeans that cost $25.
5. You own a small jewelry store. You increase the price of jewelry by 125%. The cost of the jewelry is $250. What is the selling ptice of the piece of jewelry?
PLZ ITS DUE BY 11:59
worth 15 points
Answers
Answer:
5. $562.50
Step-by-step explanation:
Question
What is the solution to this system of equations?
ly
101
y=x-2
y=-0.5x + 4
8
6
2.
6
10
O A. (2,4)
O B. (1,2)
O C. (2,1)
O D. (4,2)
PLS HELP
Answers
Answer:
im not completely sure but i think its A
Answer:
D . (4,2)
Step-by-step explanation:
i got it right !
Help will give brainlist!
If correct. Thanks!
Answers
Answer:
B y=0.5x-1
Step-by-step explanation:
Answer:
Y=-1/2x-1
Step-by-step explanation:
The slope is found using rise/run
Y-int can be found on the graph
I need help with this problem
Answers
Mary types 3 pages in 12 minutes. If she continues this same speed, How many pages should she type in 60 minutes? Show your work/ Use a double number line, HELP PLEASE!!!!!!!!!
Answers
3 pages .............................. 12 min
x pages ............................... 60 min
x = 3*60/12 = 15 pages
Please help!
Select the correct answer from each drop-down menu.
On a horizontal number line, -6 is located to the [blank] of -4. So, -6 is [blank] than -4.
First blank- left, right,
Second blank- greater, less,
CORRECT ANSWER GET'S BRAINLIEST!
Answers
Answer:
To the "LEFT", so -6 is "LESS"
Step-by-step explanation:
-6 < -4
Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?
Answers
Step-by-step explanation:
6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie
✨✨Hope it helps✨✨
✨Brainliest?✨
Solve each of these equations. Explain or show your reasoning.
2b+8−5b+3=-13+8b−5
2x+7−5x+8=3(5+6x)−12x
2c−3=2(6−c)+7c
Answers
Answer: Answers are in the pictures