Answer:
1056
Step-by-step explanation:
dP/dt = 0.0013P (1 − P/6200)
Euler's method states:
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
Substituting:
P(t+1) = P(t) + (1) [0.0013 P(t) (1 − P(t)/6200)]
P(t+1) = P(t) + 0.0013 P(t) (1 − P(t)/6200)
We know that when t=0, P=1000.
P(1) = P(0) + 0.0013 P(0) (1 − P(0)/6200)
P(1) = 1000 + 0.0013 (1000) (1 − 1000/6200)
P(1) = 1001.1
Repeating the pattern, we get P(50) is:
P(50) = 1055.7
Rounded to the nearest whole number, P(50) = 1056.
The number of birds this year in the city of L.A. has increased by 15%. Last year there were 405,000 birds. How many birds are there now? Explain your answer
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
Pls help me don’t make fun
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
Please help fast, I’ll mark Brainlist for correct answer!
Answer:
1. y=2x -12
2. 2x-y=12
3.y=2/3x 11/3
Step-by-step explanation:
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
Evaluate f(x)= -3x+8 at the following values.
Box #1: x=3
Box #2: x=0
Box #3: x=-2
High school idk why it says college
Answer:
Box 1= 1
Box 2 =-8
Box 3= -2
Step-by-step explanation:
Plug in the numbers that are provided where you see x
-3(x) +8 x=3
20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74
X-(-5) = 10
x=
help me
Answer:
X-(-5) = 10
x+5=10
x=10-5
x=5
X-(-5) = 10
-negative sign and -negative sign= +positive sign
X+5=10
move +5 to other side to get X by itself
sign changes from +5 to -5
X+5-5=10-5
X=10-5
X=5
answer: X=5
What’s the approximate value of a $12,000 car after 1 year?
Answer:
i think the aswer s 60,000
Step-by-step explanation:
Please need help thank
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Step-by-step explanation:
We need to use distributive property to remove the parentheses (x+12)8
According to distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
A radius of 8.5m what is the area
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²
Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)
Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.
Answer:
Step-by-step explanation:
Yes
Answer:
Step-by-step explanation:
No, I don't agree with Daryl. If you multiply -3 by 2, you will get -6. -6 is not equal to -32, which means that they don't have the same value, so Daryl is wrong.
Solve the following inequality 5x-60>8x
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[tex]5x - 60 > 8x[/tex]
[tex]8x < 5x - 60[/tex]
Subtract sides 5x
[tex] - 5x + 8x < - 5x + 5x - 60[/tex]
[tex]3x < - 60[/tex]
Subtract sides 3
[tex] \frac{3x}{3} < \frac{ - 60}{3} \\ [/tex]
[tex]x < - 20[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer: The answer is x<–20.
Step-by-step explanation: Let’s solve the inequality step by step.
• Step 1 Subtract 8x from both sides. Do the rest of the step by step of the following inequality.
I am rin pre-K and there givrung us math I can’t doe
Answer:
since your in pre-k bud x+y+z = abc :)
Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc
this is totally correct:)
through: (-2,-5), parallel to y = x + 3
Answer:
No,
Step-by-step explanation:
Guess why
If you do x = - 2
Then y become 1,
Which is not matched to
-5
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
Answer:
The area of the shaded region is 3.
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
[tex]A_s=2 * A_t[/tex]
Where At is the area of each triangle.
[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]
[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]
We know AB=3 and BC=2, thus:
[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]
Simplifying:
[tex]\displaystyle A_t=\frac{3}{2}[/tex]
Finally:
[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]
[tex]A_s=3[/tex]
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
GIVING OUT BRAINLIST
ASAP
find the sales price:
$89.95 DVD Player, 5% discount.
(Round your number to the nearest cent (hundredths place)
Solve the inequality 2 (x - 2) +8.6 < 14.
Answer:
x<4.7
Step-by-step explanation:
2(x-2)+8.6<14
2x-4+8.6<14
2x=4.6<14
2x<14-4.6
2x<9.4
_____
x<4.7
mom said its my turn to be brainliest answer ;0
also, help me on my math hw maybe ?
Answer: x < 4.7
Step-by-step explanation:
Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?
Answer:
Step-by-step explanation:
4000*1/10= $400
Hey all, can I get the answer + explanation for this? Would be much appreciated.
Much love,
Vic
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that line which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
What is 2 1/2 feet to inches?
Actual question:
1 foot=12 inches
2 1/2 feet= blank inches
IREADY!!
thanks :)
PLEASE HELP MEHH!!!!!
Select the coordinates of two points on the line y = −2. (2 points)
A. (2, −2) and (−2, 2)
B. (−2, −2) and (−2, 0)
C. (2, −2) and (0, −2)
D. (−2, 2) and (−2, −2)
Answer:
C.) (2,-2) and (0,-2)
Step-by-step explanation:
The coordinates would have to have y values of -2, because the line plotted only has y values of -2
Answer:
C.
Step-by-step explanation:
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
Negative
Step-by-step explanation:
the slope in this equation is negetive as it is pointing in a downwards position.
Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion
Answer:
b
Step-by-step explanation:
aye
What are the slopes to these ? please answer
A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.
Answer:
-1 5/8
Step-by-step explanation:
Let the total amount in the bowl be x;
If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;
x - 7/8
If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;
= x - 7/8 - 3/4
= x - (7-2(3))/8
= x - (7+6)/8
= x - 13/8
This shows that the total change after the two days is -13/8
As a mixed fraction;
-13/8 = -1 5/8