It would take 70 years for the deer population to reach 800.
An exponential function is in the form:
y = abˣ
where b is the multiplier, y, x are variables and a is the initial value.
Let y represent the population and x represent the time in years.
a = 200, b = 100% + 2% = 102% = 1.02
y = 200(1.02)ˣ
For a population of 800:
800 = 200(1.02)ˣ
ln(4) = xln(1.02)
x = 70 years
It would take 70 years for the deer population to reach 800.
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Answer: 200, 0.02, and 800
Step-by-step explanation:
x²- 8x-9=0 i need some help over here
Answer:
(x+1)(x-9)
Step-by-step explanation:
Break the equation: x²- 8x-9=0 into groups:
([tex]x^{2}[/tex]+x)+(-9x-9)
Factor X out of [tex]x^{2}[/tex]+x: x(x+1)
Then Facor -9 out of (-9x-9): -9(x-1)
This means that you can simplify these 2 equations: (x-9) & (x+1)
So your answer is: (x+1)(x-9)
1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)
Answer:
D şıkkı iyi dersler hadi
Answer:
C: [tex](2x+5)(4x^2-10x+25)[/tex]
Step-by-step explanation:
First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].
Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]
Or you commit the two formulas to memory.
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
use this equation:
b+t+3+4
The radius of a circle is 19 miles. What is the circle's circumference?
Answer:
119.32 miles
Step-by-step explanation:
radius=19 miles
circumference =2×3.14×19 miles
The circle's circumference 119.32 miles
What is circle's circumference ?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
GIven that, radius of a circle is 19 miles
we know , circumference of circle = [tex]2\pi r[/tex]
= [tex]2\pi \cdot19[/tex]
= 38 (3.14)
= 119.32 miles
Hence, circle's circumference 119.32 miles
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Trey wants to earn more than $89 trimming trees. He charges $8 per hour and pays S7 in equipment fees. What are the possible numbers of hours Trey could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
11 hours
Step-by-step explanation:
8t + 7 > 89
8t > 81 : subtract 7 from both sides
t > 10.125 : divide by 8 for both sides
t = 11 : estimate
Trey has to work 11 hours because 10 hours would only give him $87.
What is the function rule for the line?
Answer: It is f(x)= -3/2x-2
Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.
Evaluate the expression for m = 45.
m|
54
Submit
[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]
[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Please help, I will give brainliest Health Insurance Expenses
Business
Type
Definition
Costs
Premium
The annual amount employee pays
the insurance company for the policy.
$6,237
Career
College Rea
Deductible
The amount employee pays for
medical expenses before the
insurance pays for anything.
$1,000
Extra Cred
Business
The percentage employee pays for
Co-Payment medical treatment after the
deductible is paid
30%
Kerr Heavyn_He
hbenefitsss
Use the information in the table. If the employer has agreed to pay 45% of the employees' health insurance premium, what is the total annual
premium?
X
Select one:
O A. The premium is $13,860.
OB. The premium is $11,340,
O C. The premium is $5,103.
Answer:
It is B
Step-by-step explanation:
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
5
101
10
10
-20
20
- 10
10
-10
20-
101
A.
B.
C.
D.
A. Graph A
B. Graph B
O C. Graph C
D. Graph D
Answer:
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
-A. Graph A
The function y = 2x^2 + 6x + 3 is a quadratic function that has a vertex of (-1.5,-1.5)
How to determine the graph of the function?The equation of the function is given as:
y = 2x^2 + 6x + 3
Differentiate
y' = 4x + 6
Set to 0
4x + 6 = 0
This gives
4x = -6
Divide by 4
x = -1.5
Substitute x = -1.5 in y = 2x^2 + 6x + 3
y = 2(-1.5)^2 + 6(-1.5) + 3
Evaluate
y = -1.5
This means that the function y = 2x^2 + 6x + 3 has a vertex of (-1.5,-1.5)
See attachment for the graph of y = 2x^2 + 6x + 3
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Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)
Answer:
B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]
Step-by-step explanation:
[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]
Hope this helps
Help...................
Step-by-step explanation:
the surface area of that object consists of
2 triangles (one left, one right)
1 rectangle at the top
1 rectangle at the bottom
1 rectangle in the back
so, we need to calculate the area of each of these 5 areas and sum them up. that's it.
the area of such a triangle is
6×8/2 = 24 m²
we have 2 such triangles, so in total they are 48 m².
the rectangle at the top
10×12 = 120 m²
the rectangle at the bottom
12×8 = 96 m²
the rectangle in the back
12×6 = 72 m²
so the total surface area is
48 + 120 + 96 + 72 = 336 m²
How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent
Answer:
SAS
Step-by-step explanation:
there are vertical angles in the middle and the sides are already marked
Don Swifter earns $9.75 per hour as a clerk. He starts work Monday through Friday morning at 8:00 AM. He takes a one-half hour lunch break every day. If he finishes work at 3:30 PM Monday through Thursday, how late must he work on Friday to have total pay of $360.75 for the week?
Answer:
He works until 5:30.
Step-by-step explanation:
ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!
Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.
How to determine how late he must workDon works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:
Total work hours from Monday to Thursday:
(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)
= 7.5 hours - 0.5 hours
= 7 hours (per day)
Total work hours for the week (Monday to Thursday):
4 days x 7 hours/day = 28 hours
Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday
$360.75 = $9.75 x 28 hours + Additional hours on Friday
Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75
Additional hours on Friday = ($360.75 - $273) / $9.75
Additional hours on Friday = $87.75 / $9.75
Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)
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find the greatest common factor GCF and the least common multiple LCM of these Numbers. 8and 9
Answer:
LCM is [tex]72[/tex]
GCF is [tex]1[/tex]
Step-by-step explanation:
LCM is least common multiplier
LCM of
[tex]8,9=8\times 9\\\\=72[/tex]
GCF is greatest common factor
Factors of [tex]8=1,2,4,8[/tex]
Factors of [tex]9=1,3,9[/tex]
Greatest common factor is [tex]1[/tex]
GCF is [tex]1[/tex]
Look at the top questions. Pls I need help asap I don’t get it
Which equation best matches the scenario below?
The total cost t is proportional to the number n of items purchased at a constant price of $4.
A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n
Answer:
Definetly t = 4n
Write -37.75 as a mixed number.
Answer:
[tex]-37\frac{3}{4}[/tex]
Step-by-step explanation:
0.75 is equivalent to three quarters, or (3/4).
3/4 would be the fraction. -37 would be the whole number.
[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]
Hope this helps.
Answer:
- 37 3/4
Step-by-step explanation:
if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.
Answer:
4
Step-by-step explanation:
y = x + 1
yeah-ya.... right?
Answer:
4 is the answer i believe
Step-by-step explanation:
C skips 2 dots, Hope this helps:)
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answer:
y = 0.4 x
Step-by-step explanation:
The radius of the semicircle is 3 in. How long is its perimeter?
Please be accurate and explain.
Answer:
15.42 inches
Step-by-step explanation:
-formula : perimeter of semi circle= πr+2r
r=3 inch
π.3+2.3
=3π+6
≅15.42inchAnswer:
15.425 or 6+3π
Step-by-step explanation:
If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.
{(23,4),(-3,8),(-25,-21),(20,13),(21,-14)} what is the domain and range
Answer:
Step-by-step explanation:
The domain: { - 25, - 3, 20, 21, 23 }
The range: { - 21, - 14, 4, 8, 13 }
What is the slope of the line?
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]
1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.
Answer:
(1/2)x + 4 - 4 = 10 - 4
2(1/2)x = 6 * 2
x = 12
Explain plzzzzzzzzzzzzzz
Answer:
8/3
Step-by-step explanation:
x equals 8/3
7x_2_4x_6=0
3x=8 ÷3 in both sides
Help help help math math
Answer:
yes
Step-by-step explanation:
x increases by 2, and y increases by 3 consistently
Answer:
No
Step-by-step explanation:
please mark me brainliest
please help me on this one would be great help.
Answer:
60
Step-by-step explanation:
How do you write 2/5 as a percentage
Answer:
40%
Step-by-step explanation:
To convert a decimal to a fraction, multiply it to 100
[tex]\frac{2}{5} \times 100[/tex]
[tex]=\frac{2}{5} \times \frac{100}{1}[/tex]
[tex]=\frac{2\times100}{5\times1}[/tex]
[tex]=\frac{200}{5}[/tex]
[tex]=40[/tex]
Therefore, [tex]\frac{2}{5}[/tex] is 40%
Step-by-step explanation:
Explanation:
To get 25 as a percent, we need the denominator to be 100 .
Now that we have a denominator equal to 100 , just look at the numerator and that's your percent.
40%
.40.
.4 or 0.4.
Factor: 3x4y3 – 48y3
Answer: 4y3(1x1 - 12)
3x4y3 – 48y3
4y3(1x1 - 12)
Please help derivitive
Please dont comment if you dont know …
[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]
The midpoint of AB is M(1, -4). If the coordinates of A are (-3, -6), what are the coordinates of B
Answer:
Step-by-step explanation:
x value of M is 1 - (-3) = 4 units to the right of A
B will be another 4 units to the right of M or x = 1 + 4 = 5
y value of M is -4 - (-6) = 2 units above A
B will be another 2 units above M or y = -4 + 2 = -2
B = (5, -2)