Answers
Using the function f(x) = 500(0.67)^x :
A).f(0) = 500, f(1) = 335, f(2) = 224.45 and f(3) = 150.3815
B). 33% of bugs are eaten each day
C). 67% of the bugs remain each day
D). After day 7 will there remain fewer than 40 bugs in the farm.
Function of a function ruleThe function of a function rule is defined as the process that changes the input value to output.
day 1 will have 165 bugs eaten with a percentage evaluated as;
(165 × 100)/500 = 33%
day 2 will have 110.55 bugs eaten with a percentage evaluated as;
(110.55 × 100)/335 = 33%
day 3 will have 74.0685 bugs eaten with a percentage evaluated as;
(74.0685 × 100)/224.45 = 33%
day 1 will have 335 bugs remaining with a percentage evaluated as;
(335 × 100)/500 = 67%
day 2 will have 224.45 bugs remaining with a percentage evaluated as;
(224.45 × 100)/335 = 67%
day 3 will have 150.3815 bugs remaining with a percentage evaluated as;
(150.3815 × 100)/224.45 = 67%
At day 7;
f(7) = 500(0.67)⁷
f(7) = 30.30.
Therefore, 500, 335, 224.45 and 150.3815 are the respective population the days:0, 1, 2, and 3. for the function f(x) = 500(0.67)^x
33% of bugs are eaten each day
67% of the bugs remain each day and,
After day 7 will there remain fewer than 40 bugs in the farm.
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Related Questions
Which property is illustrated by the following statement?
AJAR= AJAR
A
J
R
A. Transitive
OB. Associative
O C. Reflexive
D. Symmetric
Answers
Answer: Reflexive
Step-by-step explanation:
The property that illustrated by the following statement is D. Symmetric
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
The symmetric property of congruence says, for objects A and B,
if A ≅ B, then B ≅ A.
The symmetric property of congruence makes the statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
Here properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
Learn more about the Symmetric
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helppppppppppppppppp
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Answer:
16.
Step-by-step explanation:
What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.
Here is our equation: 75/100 x 64 = 48.
So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.
So the price of the wedding cake during the sale is 16.
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y=x+5
Step-by-step explanation:
The opposite of y is x axis
8 squared + b squared= 17 squared find b
Answers
Answer:
b=15
Step-by-step explanation:
8²+b²=17²
b²=225
b=15
Factor out
the GCF
56x^2? + 16x + 64
Answers
Graph the system of equations, and determine
the solution.
X + 2y = 6
2x + 4y = 4
Answers
Answer:
X + 2y = 6
first point : ( 0,3 )
second point : ( 4,1 )
third point : ( 2,2 )
forth point : ( 6,0 )
2x + 4y = 4
first point : ( 0,1 )
second point : ( 2,0 )
third point : ( -2,2 )
forth point : ( -4,3 )
solve the first equation for x.
X+ 5y = 0 20y = -4x
Answers
The answer for the first equation x + 5y = 0 is,
[tex]x = - 5y[/tex]
A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months
Answers
Answer:
I'm not to sure but I think A. or D. I'm so sorry if I'm wrong
The most representative sample of the population of convention participants is:
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
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Answers
Answer:
Step-by-step explanation:
its c
What is the pattern for valence electrons on the periodic table?
Answers
Answer:
In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.
Step-by-step explanation:
y: 2x+3+9x+2
Simplify this
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Answer:
y=16x ??
Step-by-step explanation:
Answer:
=11x+5
Step-by-step explanation:
Let's simplify step-by-step.
2x+3+9x+2
Combine Like Terms:
=2x+3+9x+2
=(2x+9x)+(3+2)
=11x+5
Answer:
=11x+5
For all parts of this question, use the function y + 2 = 3(x + 4)
Part A: Complete the x-y table:
Answers
i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
Student A's scores have a standard deviation of 5.4 and Student B's scores have a standard deviation of 10.6. What does Student B's higher standard deviation mean of his/her test scores?
Answers
Answer:
Student B's score has a greater variation from the mean than student A's score
Step-by-step explanation:
Student A : standard deviation = 5.4
Student B : standard deviation = 10.6
The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answers
Answer:
$115.36
Step-by-step explanation:
Given data
P=$103
r=1.9%
t= 6 years
The expression for the amount is given as
[tex]V = P e ^{r t}[/tex]
substitute
[tex]V = 103*e^{0.019 *6}[/tex]
[tex]V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\[/tex]
Hence the final amount is $115.36
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Answers
Answer:
do like this i think answer is correct
el conjunto solucion de la ecucacion 2x - 6=8x, es
Answers
Answer:
English translate please so i can help you?
Step-by-step explanation:
A company charges its customers a flat fee of $6 plus an additional $5 per hour to kennel a dog. A function, C(h), can be used to describe the relationship between the number of hours, h, and the total amount, in dollars, of charges.
Write an equation in function notation to represent the function.
Answers
Find the circumference. Use 3.14 for pi.
Answers
Answer:
62.8
Step-by-step explanation:
3.14 x 20 = 62.8
Its about 62.83
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radius - 10 ( Half the Diameter )
Evaluate 9 - nº when n = 2.
Answers
Answer:
answer is 8
Step-by-step explanation:
Which point is located at (2,3)
Answers
Answer:
Point C
Step-by-step explanation:
Points are read as (x, y).
This means that 2 = x and y = 3.
X is the bottom line, whilst Y is the line going up.
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The perimeter of a rectangle is 24cm. The length is 4cm. Write and solve an equation to find the width of the rectangle.
Answers
Answer:
24-(L times 2) then divide the awnser by 2
Step-by-step explanation:
Answer:
2(l+b)
2*4+2*b=24
8+2b=24
2b=24-8
2b is 16 so b is 16/2
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Answer:
X=45
Step-by-step explanation:
45+3x=180
180-45=135
135/3=45
x has to be 45
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Answers
If 23% of is 46, then what is the value of ?
Answers
Answer:
10.58
Step-by-step explanation:
the percentage multiplier is 0.23
so do 46 x0.23 = 10.58
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answers
Answer:
[tex]r = 5[/tex] --- Radius
[tex]h = 3.9[/tex] --- Height
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 97in^3[/tex]
Required
Determine different possible values of radius and height
The volume (V) of a cone is calculated as:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute 97 for V
[tex]97 = \frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3
[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]
[tex]291 = \pi r^2h[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]291 = 3.14* r^2h[/tex]
Divide both sides by 3.14
[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]
[tex]\frac{291}{3.14} = r^2h[/tex]
[tex]92.68 = r^2h[/tex]
From the question, we understand that:
[tex]r \ne h[/tex]
So, we have to assume a value for either r or h and then solve for the other variable.
Let [tex]r = 5[/tex]
So, We have:
[tex]96.28 = 5^2 * h[/tex]
[tex]96.28 = 25 * h[/tex]
Make h the subject
[tex]h = \frac{96.28}{25}[/tex]
[tex]h = 3.8512[/tex]
[tex]h = 3.9[/tex] --- approximated
Note that there are other different possible values of h that is true for
[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]
what 2/5(10x + 3/4) - 2x?
Answers
Answer:
2x + 3/10
Step-by-step explanation:
2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10
HELPPP 25 POIIIIINTSS.......
Answers
Answer:
good luck, i hope this helps :)
A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?
Answers
Answer:
16 years approx
Step-by-step explanation:
Given data
P=$3000
r= 6%
A= $7700
t= ??
The compound interest formula is
A= P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(7700/3000)/0.06
t= ln(2.566)/0.06
t= 0.942/0.06
t= 15.7
The time is 16 years approx
A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
Step-by-step explanation:
we will calculate first the sales tax
706.95*(9.75/100)=68.93
706.95+68.93= $775.88
What would be the answer if x=-8
Y=- 3/4+10
Answers
Answer:
x= -8, 9 1/4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.