Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
Evaluate the expression if a =
- 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
4a - |3b + 2cl
Answer:
-13
Step-by-step explanation:
expression =4a-|3b+2c|
subtitute all values in the expression:
=4(-2) -|3(-3)+2(2)|
=-8-|-9+4|
=-8-|-5|
=-8-(5)
=-8-5
=-13
Note:if you need to ask any question please let me know.
The value of the expression from the variables is -13
How to evaluate the expression from the variablesFrom the question, we have the following parameters that can be used in our computation:
4a - |3b + 2cl
Also, we have
a = - 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
substitute the known values in the above equation, so, we have the following representation
4a - |3b + 2cl = 4 * -2 - |3 * -3 + 2 * 2|
Evaluate
4a - |3b + 2cl = -13
Hence, the expression from the variables is -13
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2/6 -
ies
✓
Monica needs a piece of wood that is exactly 9.185 feet long for her project. She went to the store and bought
one that was 10.5 feet long.
How much wood does Monica need to cut off?
O 1.315 feet
O 9.185 feet
O 19.685 feet
O I don't know.
1
2
3
4
Nelie
Answer:
1.315
Step-by-step explanation:
10.5 - 9.185 = 1.315
HELP HELP HELP!! Giving brainliest
Of 200 students, 150 like Math or English. 50 like both subjects and 90 of the students like math. How many students like English?
Answer:
60 is the correct answer
hope it helps
Answer:
110
Step-by-step explanation:
150+50-90= 110
so therefore the answer is 110
For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
+36 +36
----------------------------------
-4r = -12r + 48
+12r +12r
----------------------------------
8r = 48
/8 /8
----------------------------------
r = 6
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
-36 - 4r = 12 - 12r
-48 - 4r = -12r
-48 = -8r
r = 6
-2z² + 4z + 2z² = ?
Can someone please explain how to do this?
Answer:
4z
Step-by-step explanation:
-2z² + 4z + 2z²
Combine like terms
-2z^2 + 2z^2 +4z
0z^2 +4z
4z
[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]
Combine like. variables[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]
[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]
[tex]\\ \sf\longmapsto 0z^2+4z[/tex]
[tex]\\ \sf\longmapsto 4z[/tex]
căn 0.45*0.3*6
pls help
thanks you
Answer:
0,81
Step-by-step explanation:
0.45 x 0.3 x 6
= 0,135 x 6
= 0,81
[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]
x^2-3x+8 is x=4 will choose brainly
Answer:
12Step-by-step explanation:
[tex] {x}^{2} - 3x + 8[/tex]
(Putting value of x = 4)
[tex] = {4}^{2} - 3 \times 4 + 8[/tex]
= 16 - 12 + 8
= 24 - 12
= 12 (Ans)
Answer:
It is 12
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 3x + 8[/tex]
When x is 4, substitute x as 4:
[tex]f(4) = {(4)}^{2} - 3(4) + 8 \\f(4) = 16 - 12 + 8 \\ f(4)= 12[/tex]
can someone help me please?
Answer:
[tex]2x - x + 25 - x = x \: terms \: togther \\ 2x - x - x + 25 \\ = 0x + 25 \\ = 25 \\ thank \: you[/tex]
Answer:
2×12-12+25-12
24-12+13
24+13-12
37-12
25
Plz help me for 10 points
Please help
Which of the following is in the solution set of the inequality -3 > -3t+ 6?
A. -1/3
B. 1/3
1مرايا C. 4
D. -4
Answer: C) 4
==========================================================
Explanation:
Let's isolate t
-3 > -3t + 6
-3+3t > 6
3t > 6+3
3t > 9
t > 9/3
t > 3
This means any value can replace t such that it's larger than 3.
Something like t = 1/3 = 0.33 won't work since it's not larger than 3.
But something like t = 4 would work because it makes t > 3 true.
That's why choice C is the final answer.
A(-3,-4) Translate A 3 units right, 8 units up
Answer:
at the origin, move it 3 units to the right, then raise the unit up by 8 units. Then the origin would be (0,4)
Step-by-step explanation:
please please please help me.
Answer: sorry i just know no.2
Step-by-step explanation:
2) = soln
h = ?
p = 5
b =9
[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]
Let the angle be x
so
tan x = p/b
tan x = 5/9
x = [tex]tan^{-1} (5/9)[/tex]
so, x = 29.054
rounding off to ten
x = 29.1
now
let the another angle be y
so
90+y+29.1 = 180
29.1 + y = 180-90
y = 90-29.1
so, y = 60.9
the missing side is √90 and missing angles are 29.1° and 60.9°
Write an equation to tell this
story: We scored 9, 3, and 7
points. We need N points to
reach 35.
PLEASE HELP I WIL, GIVE BRAINLIST
Answer:
B There should be lines drawn through the inner vertices as well
Step-by-step explanation:
The answer is B There should be lines drawn throu the inner verticesas well Because
those red lines are from inner vertices
I will give you cookie if it’s right
Answer:
The slope is just 1.
Step-by-step explanation:
Rise 1, up 1. so 1 over 1 just equals 1
A new car sales person, sold an average of $46,975 per day for the first two days she worked. The next one days she worked, she sold an average of $45,765. How much did she sell on average per day over the entire time she worked?
Answer:
$46,571.67
Step-by-step explanation:
if your description is right and complete, she sold cars on the first 2 days as average for $46975.
and on the third day for $45765
to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).
how do we get the total sales ?
we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950
as the average of these 2 days = (day1 + day2)/2
46975 = (day1 + day2)/2
day1 + day2 = 2×46975 = 93950
it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.
so, we have in total
$93950 on the first 2 days
$45765 in the third day
-------------
$139715 for all 3 days
the average per day is then
139715 / 3 = $46,571.67
James is making a paper chain from different colored paper strips. He joins the links in the following pattern: red, blue, red and blue, and so on. Counting from the first link, what color will the 23rd link be
What are RQS and TQS?
Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
[tex]2 \times 3 + 45 \div 2 - 6 + 9[/tex]
Answer according to BODMAS
Answer: 31.5
Step-by-step explanation:
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
BracketOrderDivisionMultiplicationAdditionSubtractionSolve:
Given
2 × 3 + 45 ÷ 2 - 6 + 9
Simplify by division
=2 × 3 + 22.5 - 6 + 9
Simplify by multiplication
=6 + 22.5 - 6 + 9
Simplify by addition
=28.5 + 9 - 6
=37.5 - 6
Simplify by subtraction
=31.5
Hope this helps!! :)
Please let me know if you have any questions
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price. Complete the sentence to explain whether Jamil paid more or less than the new sale price, excluding sales tax.
The new price offers price is less than the offer of 20% discount.
Given that,
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
percentage of the price paid = 1 - 0.2 = 0.8
Let the original price be x,
According to the question,
36 = 0.8 (x)
x = 36/0.8
x = $45
Since the original price is $45,
As of the new price, the price is $10 so the price becomes $35 which is less than a 20% discount.
Thus, the new price offers price is less than the offer of 20% discount.
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In 2015, 120000 people voted. The number of viewers who voted in 2015 was 20% more than those in 2014. Calculate the numbers of viewers who voted in 2014
Answer:
Given;
120,000 people voted in 2015.
In 2015, 20% more people voted than 2014.
Therefore:
How many more people voted in 2015 = 20% of 120,000
= 24,000
Total number of people voted in 2014 = 120,000 - 24,000
= 96,000
Ans) 96,000 people voted in 2014.
What is the value of the expression 2 + 3/4 (1 1/2 + 3.8)
Answer:
5.975
Step-by-step explanation:
How do you write a number less than one and one-third in an algebraic expression?
Step-by-step explanation:
x<1
x<(1/3)
yes this is the answer
round off 19340 to 1 s f
Answer:
20000
Step-by-step explanation:
This is because when you round to the signifigant figure, you basically look at any digits at the start of the number, which isn't zero. In this case it would be in the ten thousand 19340. So you round 19340 to the nearest 10 thounsand, which, would be 20000
X^6-64 divided by X+2
Answer:
[tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]
Step-by-step explanation:
[tex] {x}^{6} - 64 \div x + 2[/tex]
➡️ [tex] {x}^{6} - \frac{64}{x} + 2[/tex]
➡️ [tex] \frac{ {x}^{7} - 64 + 2x }{x} [/tex]
➡️ [tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]
Find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +
Find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +
first one is 1/4
second one is 3
Answer:
first box is 1/4
second box is 3
for the next question on the page ( h(x) = (2x-4)/3 ) the answer is C (h^-1(x) = (3x+4)/2 )
Step-by-step explanation:
Including a 5% sales tax, an inn charges $172.20 per night. Find the inn's nightly cost before tax is added.
The cost of the room before the tax is X.
To get the total cost they multiply the cost of the room x by 1 + sales tax rate.
Total cost would be x(1.05)
To find x divide total cost by 1.05:
Cost of room before tax: 172.20/1.05
Cost: $164
Write 0.002349 in scientific notation.
Hi! I'm happy to help!
To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by [tex]10^{x}[/tex].
In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)
So now, we insert our numbers:
2.349·[tex]10^{-3}[/tex]
You write 0.002349 like 2.349·[tex]10^{-3}[/tex], when it is in scientific notation.
I hope this was helpful, keep learning! :D
4^x when x = 2 need asap
Answer:
16
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
to rent a popcorn machine, it costs 35 dollars plus 6.95 dollars for each hour. Write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the costs for 5, 6, 7, and 8 hours
Answer:
equation=35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6
Step-by-step explanation:
the equation is found by adding 35 (the cost of the machine) and 6.95 times how many hours. To find the hours after 5 just add 6.95 every time.
Answer:
35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6
Step-by-step explanation:
35+6.95h=c
5 hours= $69.75
6 hours= 76.7
7 hours= 83.65
8 hours= 90.6