Answers
200.6ft
Step-by-step explanation:
find the area of the square that is L².=12²ft which is 144ftthe area of the half a circle which is 1/2πr²which is 1/2×22/7×6²=56.6 after rounding of to one decimal placeadd the two areas 144+56.6=200.6ftRelated Questions
Biologists notice an alarming trend in the walleye population in Lake Erie. Despite efforts, the population is decreasing by 15% each year. They estimate the walleye population was 26 million at the beginning of the current year. Write a sequence that lists the population for the first 4 years using 26 million as the first term.
Walleye populations are considered to be in a rehabilitation state when they are between 15 and 20 million. In what year will the population reach this level? In addition to a harvest restriction, what intervention could be used?
Using the formula [tex]s_n = \frac{a^1 - a^1 (1 + r)^n}{1-(1+r)}[/tex] the sum of the population for the first 10 years? Remember it is decreasing by 15% each year!!
Answers
Answer:
Part A
The population for the first four years are;
Year 1; 26,000,000,
Year 2; 22,100,000
Year 3; 18,785,000
Year 4; 15,967,250
Part B
i)The third year
ii) Provision of spawning environment and the reduction of predators
Part C
The population after 10 years is approximately 139,208,436
Step-by-step explanation:
Part A
The given parameters are;
The rate at which the population is decreasing = 15%
The population of the walleye at the beginning of the current year, P = 26 million
Therefore, we have;
The population of subsequent year = 0.85 × The population of the current year
Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;
aₙ = a + ar + ar² + ...
Therefore the first 4 years using 26 million as the first term are;
a₁ = 26 × 10⁶
a₂ = 26 × 10⁶ × 0.85 = 22,100,000
a₃ = 26 × 10⁶ × 0.85² = 18,785,000
a₄ = 26 × 10⁶ × 0.85³ = 15,967,250
The population for the first four years are;
26,000,000, 22,100,000, 18,785,000, 15,967,250
Part B
i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;
The population in the third year = 18,750,000 < 20,000,000
Therefore, the population enters rehabilitation state in the 3rd year
ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators
Part C
The formula for the sum of the geometric progression is presented as follows;
[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]
Therefore, we have;
[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]
The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436
Can SOMEONE PLZ HELPPPP
Answers
Answer:
option D would be your answer
Step-by-step explanation:
[tex]y=\frac{-1}{2}[/tex]
Answer:
its -1/2 the last option
Step-by-step explanation:
If f(x) = - 3x3 -- x2 +8
what is f(-2)?
Answers
Answer:
f(-2) = 28
Step-by-step explanation:
Given that,
[tex]f(x) = - 3x^3 -x^2 +8[/tex]
We need to find the value of f(-2). Put x = -2 in the given function. SO,
[tex]f(-2) = - 3(-2)^3 -(-2)^2 +8\\\\=24-4+8\\\\=28[/tex]
So, the value of f(-2) is equal to 28.
Identify all the expressions that are equivalent to 43.
A
12
B.
64
C
4x4x4
D
34
E
82
F
26
Answers
Answer:
4*4*4, 64, 8^2, 2^6
Step-by-step explanation:
4^3=4*4*4
=64
4^3=2^(2*3)=2^6
=8^2
Wilbur won 98 super bouncy balls. He gave four to every student in his math class. He only has 10
remaining. How many students are in his class? Write an equation to represent the situation and solve.
Answers
Answer:
22
Step-by-step explanation:
The equation would be:
let s be the number of students
[tex]4s + 10 =98[/tex]
Solve:
[tex]4s+10=98\\4s = 88\\s = 22[/tex]
2) Jacob is 3 years older than Sarah, and Caroline is twice as old as Sarah
If Caroline is 28 years old, how old is Jacob? *
Answers
Half of 28 is 14
Sarah is 14 and Jacob is 3 years older than her
Jacob is 17!
Can someone please help me solve #6
I’ll give brainiest to the first answer
Answers
Answer: It's either 278 or 178
Step-by-step explanation: I didn't know what equation the question wants you to use so for the first equation it showed I did (10^2+24+10+144) and got 278. For the second equation I did 24+10+144 and got 178. Considering it gave you ax+b as an area equation I just added them (same with the other equation). I don't know whether those are correct of not though.
Which expression is equivalently to x^2 + 2x + 2?
Answers
Answer:
(x-1)^2 +1
Step-by-step explanation:
Answer:
(x + 1 - i ) (x + 1 + i)
Step-by-step explanation:
2. Find the volume of the
cylinder
Answers
Answer:
V≈43.98
Step-by-step explanation:
V=πr2h=π·22·3.5≈43.9823
The measure of central angle RST is r radians.
What is the area of the shaded sector?
A. 41π units^2
B. 8π units^2
C. 16π units^2
D. 20π units^2
Answers
The area of the shaded sector of the circle is 16π units².
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex]
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex]
sq. units
We are given that;
θ = r radians
r = 4 units
Now,
To convert radians to degrees, we use the formula:
Degrees = Radians × 180°/π
So,
θ = r × 180°/π
Substituting these values in the formula for area of a sector, we get:
Area of a sector = (r × 180°/π / 360°) × π(4)²
Simplifying, we get:
Area of a sector = r² units²
=16π units².
Therefore, by the area of a circle the answer will be 16π units².
Learn more about area of a circle here:
https://brainly.com/question/13004063
#SPJ5
solve the equation -8(4k-5)=200
Answers
Answer:
k = -5
Step-by-step explanation:
What is missing
answer for brainiest
Answers
Answer:
The answer is 30
Step-by-step explanation:
The numerator is rising by 2, and the denominator is rising by 6
24 + 6 = 30
Base ten numeral
What is Two and four hundred fifty eight thousandths?
Answers
Answer:
2.458
Step-by-step explanation:
Answer:
2.458
Step-by-step explanation:
It’s basically Place Values, 2 is in the ones, 4 is in the tenths, 5 is in the hundredths and 8 is in the thousandths.
A small bottle contains 120 mL of juice. A large bottle contains 160 mL of juice. What is the ratio of the volume of juice in the small bottle to the volume of juice in the large bottle? A. 4 : 3 B. 3:5 C.3 : 4 D. 5:3
Answers
Answer:
3:4
Step-by-step explanation:
Given:
Small bottle volume = 120 mL
Big bottle volume = 160 mL
Find:
Ratio of small bottle to big bottles volume
Computation:
Ratio of small bottle to big bottles volume = 120 / 160
Ratio of small bottle to big bottles volume = 3/4
Ratio of small bottle to big bottles volume = 3:4
Option "C" is correct.
The dimensions of Tommy's living room are 15 feet by 12.5 feet tommy wants to buy a rug for the living room that is 8 feet by 10 feet which equation can be used to determine a the area of the living room that is not covered by the rug
Answers
Answer: (15*12.5)-(8*10)
107.5 is the area not covered by the rug
Step-by-step explanation:
In the volume formula, V=Bh, what does the capital B stand for?
Answers
Answer:
B stands for base
Step-by-step explanation:
The B stands for the base of the shape.
what is 10,000,000,000,000 as a scientific notion?
Answers
Answer:
1 x 10 13
Step-by-step explanation:
Answer:
1 x 10^12
Step-by-step explanation:
At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a drink.
Answers
Answer:
$3
Step-by-step explanation:
Given data
Let the cost of drinks be x
and the cost of hotdogs be y
so
3x+4y=15-------1
also
3x+y= 10.5------2
solve 1 and 2
3x+4y=15
-3x+y= 10.5
3y= 4.5
divide both sides by 3
y= 4.5/3
y= $1.5
Put y= 1.5 in 1
3x+4(1.5)=15
3x+6= 15
3x=15-6
3x= 9
x= 9/3
x= $3
Hence the cost of a drink is $3
are -3.5, √16, 3π rational or irrational?
Answers
Answer:
-3.5 is rational,[tex]\sqrt{16}[/tex] is rational, and 3π is irrational
Step-by-step explanation:
-3.5, and [tex]\sqrt{16}[/tex] is rational because it can be expressed as a fraction or part of a whole number. 3π is irrational because these numbers cannot be expressed as a fraction or ratio of two integers.
plz help,i'll give brainlliest
Answers
Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4
Answers
Answer:
1/128 * (3 - 4cos2x + cos4x)
Step-by-step explanation:
See attachment for steps
PLZ HELP ASAP
The circle is centered at the point (4,5), and the length of its radius is 3. what is teh equation of the circle?
a) (x-4)^2 + (y-5)^2 = 9
b) (x+4)^2 + (y+5)^2 = 3
c) (x-5)^2 + (y-4)^2 = 9
d) (x^2-4) + (y^2-5) = 3^2
Answers
Answer:
The answer is C.
Step-by-step explanation:
help also use GEMDAS OR PEMDAS brainlest might be given
Answers
Answer:
10
Step-by-step explanation:
6(10) ÷ 3(2) = 10
60 ÷ 6 = 10
10 = 10
A boat travels 1 mile east and then turns and travels 2.4 miles north. How far is the boat from its starting point?
Answers
Answer:
distance = 2.6 miles
Step-by-step explanation:
using the Pythagorean theorem:
1²+2.4² = distance²
distance² = 6.76
distance = 2.6 miles
which lf the following graphs show a proportional relationahip chose all that apply
Answers
Answer:
i believe its A and B because they are a straight line and they both go through the origin :)
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
A proportional relationship is a relationship where the rate of change is constant. In the following graphs both have a constant proportionality therefore they are both proportional relationships
What is the transformation shown?
Answers
Answer:
it moves up
Step-by-step explanation:
Which question is a statistical question?
What is the height of the tallest mountain?
What is the favorite flower of each student?
How many children does my math teacher have?
How many miles is the longest hiking trail?
Answers
3≤7+g
Help
I’m famous
Answers
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Let's solve your inequality step-by-step.
3 ≤ 7 + g
Step 1:Simplify both sides of the inequality.
3 ≤ g + 7
Step 2: Flip the equation.
g + 7 ≥ 3
Step 3: Subtract 7 from both sides.
g + 7 − 7 ≥ 3 − 7
g ≥ −4
Answer:
g ≥ −4
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
-4 ≤ g is an answer for this.
I need to find the Surface Area must show all work: I need help!!
Answers
rectangles - 24*17=408*2= 816
base - 24*10= 240
ADD 240+816+180= 1,236cm
12ax^{2} -15ab-16a+20b[/tex]
Answers
Answer:
12 a x^ 2 -15 a b-16 a