In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?
Answer:
In about 2073, 3440 acres
Step-by-step explanation:
Determine the equation for each forest. Forest A: y=-105x+4000 Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.
In 2073 the areas of the forests to be the same.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.
If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.
let the number of decades occur be x
So, the equation is
4000 - 105x= 3600 - 30x
400 = 75 x
x= 5.33
x= 53.3 years
Hence, In 2073 the areas of the forests to be the same.
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write the product using exponents. (very easy)
Answer:
-12^5
Step-by-step explanation:
Answer:
(-12)^5 or -248832Step-by-step explanation:
\((-12) \cdot(-12)\cdot(-12)\cdot(-12)\cdot(-12)\\\\\mathrm{Remove\:parentheses}:\\\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\\\=-12\cdot \:12\cdot \:12\cdot \:12\cdot \:12\\\\\mathrm{Multiply\:the\:numbers:}\:\\12\cdot \:12\cdot \:12\cdot \:12\cdot \:12\\=248832\\\\\)
OR\((-12) \cdot(-12)\cdot(-12)\cdot(-12)\cdot(-12)\\\\ (-12)\:appears \:in \:5\:places\\\\=(-12)^5\)why is the graph wrong
and how would a fixed one look like
Answer:
It's wrong because they are being paying $3 each day so it would be $3, $6, $9, $12, $15, $18 and so on. Not $5, $8, $11, and $14.
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
you have to do all of the questions and add the answers together
Answer: Where is the question?
Step-by-step explanation:
I'm sorry, I'm not sure what you mean. Could you please clarify which questions you are referring to and what you would like me to add together?
Free Brainliest!! :D
58 x 4/8
Answer: 29
Step-by-step explanation:
\(58*\frac{4}{8} =\frac{58*4}{8} =\frac{232}{8} =29\)
\(\boldsymbol{\sf{58*\dfrac{4}{8} }}\)
We reduce the fraction 4/8 to its lowest expression by extracting and canceling 4.
\(\boldsymbol{\sf{\dfrac{4}{8}=\dfrac{4\div4}{8\div2}=\dfrac{1}{2} }}\)
\(\boldsymbol{\sf{58\times\left(\dfrac{1}{2}\right) }}\)
Multiply 58 and 1/2, so 58/2.
\(\boldsymbol{\sf{\dfrac{58}{2}= }}\boxed{\bf{29}}\)
A tart contains either 3 white, or 4 red, or 5 black cherries. A tray of 20 tarts contains 89 cherries. How many red cherries are on the tray if it contains 3 tarts with white cherries?
Please help me with the answer
The cost that will maximize the demand, considering the quadratic function, is given as follows:
$3.
How to maximize the demand?The quadratic function representing the demand is given as follows:
y = -10x² + 60x + 180.
The vertex of a quadratic function is the point on the graph where the function reaches its maximum or minimum value. For a quadratic function in standard form y = ax² + bx + c, the x-coordinate of the vertex is given by:
x = -b / (2a)
The coefficients of the quadratic function in this problem are given as follows:
a = -10, b = 60.
The x-coordinate is the price that maximizes the demand, hence it is obtained as follows:
x = -60/(2 x (-20))
x = 3.
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Please help me. All I get is decimal problems that aren't helping at all.
Respond using complete sentences and math language. Mike told his friend Jacky that 16 + 5 * 2 - 3 = 23. Jacky disagrees, she says that 16 + 5 * 2 - 3 = 39. Who is correct? Explain how you know.
Answer:
22 hope this help enjoy ya day
Step-by-step explanation:
The common hamster has 20 chromosomes. How many different types of hamster offsprings could form
Answer: How many different types of hamster offspring's could form
Answer:5 Golden hamster, grey dwarf hamster, Chinese hamster, winter white dwarf hamster, roborovski dwarf hamster.
Step-by-step explanation:
I really hope this helps
The types of hamster offspring could form if The common hamster has 20 chromosomes Golden hamster, gray dwarf hamster, Chinese hamster, winter white dwarf hamster, roborovski dwarf hamster. So the number is 5.
What is chromosomes?A chromosome is a lengthy DNA molecule that contains all or a portion of the genetic code for an organism. The histones, which are the most significant of these proteins in eukaryotic cells, coat the very long, thin DNA fibers in most chromosomes.
Given:
The common hamster has 20 chromosomes,
The 22 chromosomes that make up the Chinese hamster chromosome set are divided into 10 pairs of autosomes and XY sex chromosomes. For mouse-like rodents, it is unusual to have a karyotype combination of different-sized metacentrics and acrocentrics (Myomorpha).
The types of hamster offspring could form, is 5.
5 Golden hamster, gray dwarf hamster, Chinese hamster, winter white dwarf hamster, roborovski dwarf hamster.
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Two fifths of the 40 students earned an A, what percent of the students earned an A
Answer:
40%
Step-by-step explanation:
2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)
Therefore 40% of the students earned an A.
Q.1 5d
plss answer due tmrw
Answer:
28
Step-by-step explanation:
If im wrong, sorry-
Truck A leaves station 1 at 9:00 a.m. and travels at the rate of 60 kph. After 2 hours, Truck B leaves the same station and travels in the same direction at the rate of 80 kph. At what time will Truck B overtake Truck A?
Answer:
12.30 P.M.
Step-by-step explanation:
What is the fewest number of people surveyed if exactly 93.6% of people completed a survey?
Use the whole numbers 0 through 9, at most one time, to fill in the boxes to create an accurate
number line.
Answer:
Step-by-step explanation:
7
What does X represent
....................
Answer:
?
Step-by-step explanation:
Can anyone help? I just need the Area of the lawn
Answer:12500
Step-by-step explanation:
33.
Find the value of the expression: (5 + 7)2
a. 24 c. 144
b. 74 d. 54
Answer: a. 24
Step-by-step explanation:
We will simplify using PEMDAS.
Given:
(5 + 7)2
Add:
(12)2
Multiply:
24
a. 24
Hello!
\((5+7)2\)
\(5+7=12\\12*2=24\)
Your answer would be A. 24
Hope this helps!
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Mr. Killian is buying tickets for a school field trip. He buys 80 student tickets, and 15 adult tickets. The cost of a ticket for a student is $8 less than the cost of an adult ticket. He pays an additional charge of $14.75 in taxes and fees. If his total bill comes to $405, choose equation Mr. Killian can use to determine the cost of an adult ticket, x and solve it.
95x - 8 + 14.75 = 405
95(x - 8) + 14.75 = 405
15x + 80(x-8) + 14.75 = 405
2(x-8) + 80x + 14.75 = 405
Answer: The answer is option 3
Step-by-step explanation: I think this is the answer based on the info i got from the story
can someone help me with this?? If you can't see the picture don't bother to answer.
Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.
Answer:
Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.
Step-by-step explanation:
The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.
For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.
I've enclosed an attachment for that.
Hope this helps!
125 to the 3rd power lies between
Answer:1953125
Step-by-step explanation: 125x125=15625x125=1953125
How can you use the Distributive Property to check your work when factoring?
1. Once an expression has been factored, use the Distributive Property to expand the expression. The factored expression should be the original expression.
2. Once an expression has been factored, use the Distributive Property to factor the expression. The factored expression should be the original expression.
3. Once an expression has been factored, use the Distributive Property to factor the expression. The expanded expression should be the original expression.
4. Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
when 2 pipes fill a pool together, they can finish in 5 hrs. if one of the pipes fills half the pool then the other takes over the finishes filling the pool, it will take them 18 hrs. how long will it take each pipe to fill the pool if it were working alone?
Answer:
about 10 hrs each id say
Step-by-step explanation:
I just did 5 times two
The time taken to fill the pool if it were working alone is 18 hours.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
The symbols cross (×), asterisk (*), and dot (·) are used to denote multiplication. You most frequently utilize the cross when writing in your notebooks. In computer languages and algebra, the asterisk and dot are both utilized (higher mathematics).
Given:
When 2 pipes fill a pool together, they can finish in 5 hrs,
One of the pipes fills half the pool then the other takes over to finish filling the pool, it will take them 18 hrs
1 / 2 of pool = 9 hrs as given
full pool = 9 × 2 = 18 hours
Therefore, The time taken to fill the pool if it were working alone is 18 hours.
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The diagram shows a pair of similar figures.
What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?
Answer:
C
Step-by-step explanation:
Zoe is 6 years old. Her brother, Langston is 3 years more than twice her age. Write a numerical expression for Langston´s age. can you solve it? give me a like if you solved it and pls friend request me.
The Drombeg stone circle is a collection of megaliths (large prehistoric stones) located in Glandore, Ireland, that was used between 1100 BCE and 800 BCE.
The Drombeg stone circle measures approximately `31` ft across. Which of the following would be a reasonable approximation of its circumference?
A: 15.5
B: 49
C: 90
D: 97
E: 31π
Answer:
A
Step-by-step explanation:
A is the reasonable answer
Compare the pair of numbers. Use <, =, or >.
33
40
333
4
OOO
3/4
434
A
V 11
33
40
33
40
33
40
Answer:
3/4 < 33/40
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Hope it helped