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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
1- (2x+4)= 4x+5 . What is the correct solution ??
Answers
Answer:
x=4
Step-by-step explanation:
We move all terms to the left:
1-(2x+4)-(-4x+5)=0
We get rid of parentheses
-2x+4x-4-5+1=0
We add all the numbers together, and all the variables
2x-8=0
We move all terms containing x to the left, all other terms to the right
2x=8
x=8/2
x=4
Whats the answer for #3
Answers
Answer:
plus 2
Step-by-step explanation:
because there negatives
What Solution set of the equation 9x^2 +6x = -1
Answers
Answer:
[tex] x=\{- \frac{1}{3}\}[/tex]
Step-by-step explanation:
[tex]9x^2 +6x = -1 \\ \\ 9x^2 +6x + 1 = 0\\ \\ {(3x + 1)}^{2} = 0 \\ \\ 3x + 1 = 0 \\ \\ 3x = - 1 \\ \\ x = - \frac{1}{3}\\\\x=\{- \frac{1}{3}\} [/tex]
U
(3x -9)
30°
240
w
What is the value of x?
1.
21
2.
39
3
45
4
126
Answers
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
Solve problem in photo 8th math
Answers
Answer:
I did this test it Is b
Step-by-step explanation:
Answer:
The answer is B 16
Step-by-step explanation:
The square root of it is 15.9059737206 but if you round it the closest answe is B.
A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.
Answers
Answer:
the number is 4
Step-by-step explanation:
we can write this as
x + 15 = 19
now we transpose
x= 19-15
x= 4
4 -2x plus 5 when x =4
Answers
Answer:
1
Step-by-step explanation:
f(4)=4-2x+5
4-2(4)+5
4-8+5
1
Answer:
x=1
Step-by-step explanation:
4-2x+5
x=4 so substitute the x with 4.
4-2(x)+5
=1
Select all of the equations that passes through (5,2) and (0,18)??
25 points
Answers
Answer:
A
E
F
those are the only three answers the rest of them are wrong
Determine the vertical intercept
Answers
What is the coefficient of the term 53xy ?
5xy
5/3
5
1/3
Answers
Answer:
It's 53, unless you entered the problem wrong then its 5/3
Step-by-step explanation:
Coefficents are the numbers attached to unknown variables
Fabian harvests 10 pounds of tomatoes from his garden. He needs 22/5 pounds to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Fabian make? Drag numbers to write and solve an equation. Numbers may be used once, more than once, or not at all.
Answers
Answer: He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Hope this helps... Stay safe and have a great day/night!!! :D
Answer:He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Step-by-step explanation:hope thiss helps
CDE is an obtuse angle. Which of the following could be its measure?
Answers
Answer:
Anything between 90 and 180, excluding 90 and 180.
Step-by-step explanation:
INFO
Actividad: Elabora tu propia ficha de autoevaluación de las 11 áreas que desarrollas y contesta las siguientes preguntas:
- acciones que realizaste para lograrlo.
- dificultades que encontraste.
- como te sentiste con el resultado.
Answers
Answer:
i dont speak chinese
Step-by-step explanation:
sorry ;-;
f(0) and f(2) in function notation form
Answers
Answers:
f(0) = 1
f(2) = 5
============================================
Explanation:
Determining f(0)
The y intercept point (0,1) indicates that x = 0 and y = 1 pair up together. Recall that y = f(x), which means f(x) = 1 when x = 0. This is shortened to f(0) = 1.
-----------------
Determining f(2)
Start at 2 on the x axis. Draw an arrow pointing directly upward until you get to the curve. See the diagram below. Then move to the left until you hit the y axis. You should arrive at y = 5.
This tells us x = 2 and y = 5 pair up together. Therefore, f(2) = 5.
Louisa spent 5/8 of an hour on math homework, 1/6 of an hour on science homework, and 7/12 of an hour on English homework. How much time total did she spend on homework? Pls help
Thx
Answers
Answer:
1.375
Step-by-step explanation:
5/8+1/6+7/12
Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.
Answers
A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?
Answers
Answer:
The system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture is:
p + c = 6....... Equation 1
4p + 5c = 4.40(6)....... Equation 2
Step-by-step explanation:
A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?
Let the number of pounds of dried peaches = p
the number of pounds of dried cherries = c
We are told: health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound.
Hence: The system of equations is given as:
p + c = 6...... Equation 1
$4× p + $5 × c = $4.40(6)
4p + 5c = 26.4.......Equation 2
A baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29. How many runs were scored in the second game?
Answers
Answer:
a lot
Step-by-step explanation:
If baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29.Then 11 runs were scored in the second game
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the runs scored by team in first game be x.
The team scored 5 more runs in its second game than its first.
x+5
The team scored twice as many runs as the first game in the third game.
2x
The total number of runs in all three games was 29
This we can write as x+x+5+2x=29
Add x variable terms
4x+5=29
Subtract 5 on both sides
4x=24
x=6
So the score in the second game will be x+5=6+5=11
Hence, 11 runs were scored in the second game
To learn more on Equation:
https://brainly.com/question/10413253
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plz help with math
Answers
Answer:
Yes, they are functions.
Step-by-step explanation:
domains : 1 and 2
Range : 7, -7, 8, -8
A line with a slope of -7 passes through the points (-8, 7) and (-7, k). What is the value of
K?
Answers
Answer:
k = 0
Step-by-step explanation:
On the graph, the second point would be at (-7,0)
Answer:
k = 0
Step-by-step explanation:
We can find the answer to this question by using the slope equation:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's define some variables:
[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]
We know the slope is -7 so we can put k-7 equal to it and solve
[tex]k-7 = -7\\k = 0[/tex]
We find that k is equal to 0.
I hope this helps!!
- Kay :)
At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?
Answers
Please help me with this
Answers
Answer:
t = 39
Step-by-step explanation:
the diagonals of a parallelogram bisect each other, therefore t = 3t - 78 further solving this equation we get
2t = 78 and then t = 39
Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include
hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage
student attendance while still covering the cost of the band and the food.
1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.
Answers
Answer:
Band A:y=700
Band B:y=550+1.50x
Step-by-step explanation:
Band A: since they are a fixed rate no matter how many students the equation would be y=700 . There is no need for x since there is no extra price for students
Band B: Since this band charges 550 plus 1.50 per student we will need a x in our equation
y=550+1.50x
The difference between the two equations is that in Band B we need to add the price per student.
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answers
Answer:
63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
21x3=63
Which similarity statements are true? Check all that
apply.
AJKL - AKML
AJKM – AJKL
ΔJKM - ΔKML
Ο ΔJMK - ΔJKL
Ο ΔJMK - ΔKML
Answers
Answer:A, D, E
Step-by-step explanation:
ΔJKL and ΔJKM are similar triangles and ΔJKL and ΔKML are similar triangles. Therefore, options A and B are the correct answers.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure, ΔJKL, ΔJKM and ΔKML are right angle triangles.
Now, consider ΔJKL and ΔJKM
∠JMK=∠JKL (Measure of angle is equal to 90°)
∠KJM=∠KJL (Reflexive property)
ΔJKL and ΔJKM are similar triangles
Consider ΔJKL and ΔKML
∠KML=∠JKL (Measure of angle is equal to 90°)
∠JLK=∠MLK (Reflexive property)
ΔJKL and ΔKML are similar triangles
Therefore, options A and B are the correct answers.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ7
If cos O =-2/5 and tan O > 0 what is the value of sin O
Answers
Answer:
negative square root 21 over 5.
Step-by-step explanation:
mathGiven that for an angle ,
We are to find the value of
We know that
Cosine is negative in Quadrant II and Quadrant III.
Tangent is positive in Quadrant 1 and Quadrant III.
So, the given angle lies in the Quadrant III.
We will be using the following trigonometric identity:
We have
Since the angle lies in Quadrant III and sine is negative in that quadrant, so
Thus, option (B) is correct.
Find the measure of each missing angle
Answers
Step-by-step explanation:
m1= 35
m2=65
m3=29
m4=115
m5=65
m6=36
m7=144
hope u got it......
Which is it? A,B,C or D
Answers
0.26÷1.56 ...........................................................................................
Answers
Answer:the answer is 0.16 in the calculator its 0.166666666667 but just take the first 3 numbers at thats your answer.
Step-by-step explanation:
evaluate each expression if x= 6. 8+x
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
If: x = 6
Expression: 8 + x
8 + x
= 8 + 6
= 14
