The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.
What is an exponent?Let Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs,
a = initial amount, and r = fraction which this growth/decay occurs.
Lionfish are considered an invasive species, with an annual growth rate of 65%.
Then the equation will be
f(n) = P(1.65)ⁿ
P = initial population
A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
7000 = P(1.65)
P = 4242.42
Then the equation will be,
f(n) = 4242.42(1.65)ⁿ
If scientists remove 1,300 fish per year from the bay after the first year.
Then the recursive equation for f(n) will be,
f(n) = 4242.42(1.65)ⁿ - 1300n
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A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
The area wiped by the viper blade is approximately 486.7 square inches.
The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:
[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)
Where:
[tex]\theta[/tex] - Angle, in sexagesimal degrees. [tex]r[/tex] - Inner radius, in inches.[tex]R[/tex] - Outer radius, in inches.If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:
[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]
[tex]A \approx 486.7\,in^{2}[/tex]
The area wiped by the viper blade is approximately 486.7 square inches.
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Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
14x4,5÷100=0,63
14+0,63=14,63
Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?
Answer:
-9/4
also known as
-2 1/4
Step-by-step explanation:
(10-1)/(5-9) = 9/-4
parallel = same slope
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope m of line f using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )
m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line g = - [tex]\frac{9}{4}[/tex]
The primary difference(s) between the standard deviation and the coefficient of variation as measures of risk are:
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
geomtry plz help 15 points
Answer:
it should be 60°. the single marks on each side means they are all equal
Answer:
m∠L=60º
Step-by-step explanation:
The triangle is an equilateral triangle meaning that all angles and sides are equal.
m∠L=60º
Hope this helps :)
write the value of the underlined digit in words 6,302,450? 3 being the underlined number.
Answer:
Three hundred thousand
Step-by-step explanation:
Hope this helps
Share 7.20 naira between Tayo and Visit,so that Tayo gets 70 Kobo more than Bisi. how much does Tayo get?
Answer:
4.30 naira
Step-by-step explanation:
Splitting in half, we have that they both get 3.60 naira each. Adding 70 kobo to 3.60 naira, we have 4.30 naira. Since we need Tayo's share to be 70 kobo more than Bisi's, we give Tayo the bigger share and the left cash to Bisi (2.90 naira).
Tayo will get 3.95 more than the naira of the given shares.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.
Let's call the amount that Visit gets "x".
According to the problem, Tayo gets 70 kobos (0.70 nairas) more than Visit. So, Tayo gets:
x + 0.70
The total amount of money shared between them is 7.20 naira. So, we can set up an equation:
x + (x + 0.70) = 7.20
Simplifying this equation, we get:
2x + 0.70 = 7.20
Subtracting 0.70 from both sides, we get:
2x = 6.50
Dividing both sides by 2, we get:
x = 3.25
To find out how much Tayo gets, we can use the equation we came up with earlier:
x + 0.70
Substituting x = 3.25, we get:
3.25 + 0.70 = 3.95
Therefore, Tayo will get 3.95 more than the naira.
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Which of the following is the greatest common factor of 48 and 32?
Answer:
8
Step-by-step explanation:
cus...
Which number should come next at the end of this series: 1/2, 4, 1/8, 16, _?
Answer:
1/32
Step-by-step explanation:
write an expression for "f increased by 3"
Answer:
f+3
incresed means +
Answer:
The expression for 'f increased by 3' will be f+3.
Step-by-step explanation:
This means that 3 will be added to 'f'. Since, 'f' is a variable and '3' is a numeral, therefore they cannot be added. The expression for it will be f+3.
Have a great day! :D
I NEED HELP ASAP! PLEASE
Answer:
16,32,16
Step-by-step explanation:
We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16. For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.
6=4x^3-10x^2 please hurry it's a test
Answer:
x = about 2.705
Step-by-step explanation:
Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?
Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.
a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined
Answer:
Applicants for the federal funding
Step-by-step explanation:
4.8 x 7 what is this problem?
Answer:
33.6
Step-by-step explanation:
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.
Here, we have,
given that,
The problem 4.8 x 7 is a multiplication problem.
To solve it, we multiply 4.8 by 7.
4.8 x 7
Therefore, the answer to the problem 4.8 x 7
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
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Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive. need answers ASAP for 93 point
Answer:
Is there a reference? there's insufficient information.
Step-by-step explanation:
Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.
Answer:324.24??? Not sure just a guess.
Step-by-step explanation:
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
Answer:
[tex]\huge\boxed{y-4=8(x+6)}[/tex]
Step-by-step explanation:
The equation of a line in the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]
We have:
[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]
Substitute:
[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answer:Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.
Step-by-step explanation:
Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 
Answer:
chu papi
Step-by-step explanation:
given the equation 3x-2y=-10, identify the slope and the y-intercept
Answer:
3/2 is the slope and (0,5) is the y-intercept
Step-by-step explanation:
We need slope-intercept form for this question, so we simplify the equation into:
-2y=-10-3x which is just
y=5+3/2x =
y=3/2x+5
When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.
Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.
Step-by-step explanation:
The equation is 3x - 2y = -10
We need to turn 3x - 2y = -10 into slope intercept form.
y = mx + b → slope-intercept form
m = the slopeb = the y-intercept3x - 2y = -10
-3x -3x
-2y = -3x - 10
Divide the whole equation by -2
y = [tex]\frac{3}{2}[/tex]x + 5
The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.
Brice brought two 2-liter bottles of sport drink to serve at basketball practice. How many 100-milliliter servings of sport drink did Brice bring?
A
Answer:
20 servings of 100-milliliter sports drink
Step-by-step explanation:
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
25+30=15x+10x
solve for X
Answer:
X=11/5
Step-by-step explanation:
Hope your cheating is nice
Answer:
[tex]x=\cfrac{11}{5}[/tex]
Step-by-step explanation:
[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]
Help help help help help
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Can someone help me please
Answer:
I = $650
A = $23,580
Step-by-step explanation:
First question
I = ?, P = $1000, R= 5%, T = 13
[tex]I = \frac{P*R*T}{100}=\frac{1000*5*13}{100}= 650[/tex]
Therefore, interest = $650
Second...
P = $15, 000, R = 5.2%, T = 11, I = ? A= ?
[tex]I = \frac{P*R*T}{100}=\frac{15000*5.2*11}{100}= 8580[/tex]
To find A, we add the principal with the interest
A = P + I = $15,000 + $8580 = $23,580
Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly. How much should each person pay?
ill give brainliest plz help
Answer:
10.65
Step-by-step explanation:
just divide 5 [because there are five people] with $53.25 [the amount of money]
then the answer will be 10.25
thank you
hope it was helpful
13.
Identify the vertex of the parabola.
A. (4, 3)
B. (3, 4)
C. (2, 7)
D. (6, 7)
I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?
Answer:
The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.