Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million
Help pls and no links
Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
[tex]y=mx+b[/tex]
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
Plz help i have been asking this question too much
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
<3
Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
) Factorize fully
1. 2x^2yz-32x^2y^3z
Answer:
2x²yz(1 - 4y)(1 + 4y)
Step-by-step explanation:
Given
2x²yz - 32x²y³z ← factor out 2x²yz from each term
= 2x²yz(1 - 16y²) ← difference of squares
= 2x²yz(1 - 4y)(1 + 4y)
Factorise x^2-3x
plz help me
x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
If n + n + 2 = 10, then n= ____.
Answer:
n = 4
Step-by-step explanation:
Combine like terms and solve.
n + n + 2 = 10
2n + 2 = 10
2n = 8
n = 4
ive been stuck on problem 20 for so long, help!!
Help plz need answers less than 10 minutes
Answer:
the answer wouldbe 8585434930.123
Step-by-step explanation:
Someone answer this please
Answer:
y = - 27/5
Step-by-step explanation:
4(3) - 5y = 39
12 - 5y = 39
-5y = 39 - 12 = 27
y = - 27/5
Help me find y..........
Answer:
2nd
Step-by-step explanation:
x=10
y²=x²+10²=200
y=10√2
pls pls help for math
Answer and Step-by-step explanation:
The answer would be D. 82%.
All we need to do is add together the amount that can swim.
We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.
0.34 + 0.48 = 0.82.
Multiply by 100 and we get 82%.
#teamtrees #PAW (Plant And Water)
Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation:
You fill cone-shaped pastry bags with icing to a height to 1 foot and a diameter of 3.5 inches. You use about 1.35 cubic inches of icing per cupcake. About how many cupcakes can you decorate with 2 bags of icing?
Answer:
about 57
Step-by-step explanation:
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answer:
P(12, 5) = 95040
P(8,8) = 40320
Arjun's family is traveling in a car at a constant speed of `65` miles per hour. How far do they travel in `25` minutes?
Answer:
can you say me which chapter question is this
Answer:
Step-by-step explanation:
1. it takes 3.1 hours
2.27.08 miles is how far they travel in 25 minutes
please give me a brainliest, i worked pretty hard to find these out, if you need a explanation, i will add it
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
ANSWER NEEDED URGENCY HIGH
Answer:
6 or 6 1\3 but i really think it is 6
Step-by-step explanation:
If P = -4,3 and Q = 2,1 are the endpoints of the diameter of a circle, find the equation of the circle. Help pls :/ 30 points!!
Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?
Find the area of this shape
Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!
9514 1404 393
Answer:
15.4567.0787040.7872.0Step-by-step explanation:
Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)
If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.
The second attachment shows the names of the number places, if you need a reminder.
What is the solution of /x+ 12 - X?
a). X=-3
b) x=4
c) x=-3 or x = 4
d) no solution
Answer:
???
Step-by-step explanation:
sorry can you format it?
A pizza with a diameter of 13 inches is cu to to 12 equal slices.
Jayden 44.2433333 inches squared
Carson 55.3041665 inches squared
Step-by-step explanation:
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
What is the simplest form for 20:36
Answer:
5:9
Step-by-step explanation:
20÷4=5
36÷4=9
If you divide 20 by 4 you get 5. If you divide 36 by 4 you get 9. You need to be able to divide each number in the ratio by the same number. In this case, that number is 4. You can tell that this ratio (5:9) is in simplest form because 5 is a prime number and cannot be simplified any more.
If you want to check this divide the ratio by 2 two times. Or just divide it by 4 once.
20÷2=10 → 10÷2=5
36÷2=18 → 18÷2=9
PLEASE HELP AND HURRY I NEED THIS NOW PLEASE
The path of a shot thrown during a shot put event can be modeled by the function
f(x)--0.025x2+x+5. In this function, x is the horizontal distance (in feet) from where the shot is
released and f(x) is the height (in feet) of the shot. What is the maximum height reached by the
shot?
A 5 ft
C 15 ft
B. 20 ft
D 35 Ft
Due in 5 mins help please!
K
9.6
16
M
L
Answer:
Step-by-step explanation:
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]