Answer: 281.25 milligram
Step-by-step explanation:
Given
Milligrams of aspirin left after t hours is given by
[tex]\Rightarrow a=500(\frac{3}{4})^t[/tex]
for [tex]t=2\ hr[/tex]
[tex]\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}[/tex]
UHHH HELP ITS SO CONFUSING:(
Answer:
a. y = 2x b. 32
Step-by-step explanation:
a, y = kx, where k is a non-zero constant
when x = 7, y = 14
14 = 7k
k = 2
The required equation is y = 2x
b. From(a), y = 2x
y = 2(16)
y = 32
What do I do with e^y in the differential equation dy/dt =(2t)/(e^y)?
As you said, the equation is separable:
dy/dt = 2t / exp(y)
exp(y) dy = 2t dt
Integrate both sides:
∫ exp(y) dy = ∫ 2t dt
exp(y) + C₁ = t ² + C₂
Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:
exp(y) = t ² + C
Solve for y explicitly by taking the logarithm of both sides:
ln(exp(y)) = ln(t ² + C )
y = ln(t ² + C )
C can be any number; if it happens to be 0, then you have
y = ln(t ²) = 2 ln(t )
so B is the correct choice.
You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)
For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become
2 exp(t ) = 2t / exp(2 exp(t ))
which is clearly (I hope) not true.
Order 3 , -4 , 7, and -6 from least to greatest
Explain?
Answer:
-6 -4 3 7
Step-by-step explanation:
This is right because if it goes- it goes lower and if it goes up on + it goes higher.
Answer:
-6, -4, 3, 7
Step-by-step explanation:
First you need to know that negative numbers are smaller than positive numbers, the larger the number beside the negative sign is, the smaller the number.
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
C
Step-by-step explanation:
I need help with this please I appreciate it!
Answer:
1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.
2A. No I am way taller than the 75".
2B. Ella can scale the bed up by 7:1 so that it can fit me.
Step-by-step explanation:
solve the x. 7x-7=2x-1
when adding a Positive, on the number line you move left or right?
Answer:
by adding. positive, you move towards right.
Answer:
Right
Step-by-step explanation:
when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....
its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0
a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress
Please help! Brainliest Answer! Thank You!
Answer:
B) 63°
Step-by-step explanation:
Step 1: find the angle beside x (inside the pentagon)
*A pentagon has a total of 540°
119 + 100 + 116 + 88 = 423
540 - 423 = 117
Step 2: x is a supplementary angle, which means it's angle adds up to 180°
Since we know the other angle is 117°, we just subtract that from 180
180 - 117 = 63
x = 63
PLEASE HELP!! Find the value of x.
What will be the sign of the product if we multiply together.
(a) 8 negative integers and 3 positive integers?
(b) 5 negavtives integers and 4 positive integers?
(c) (-1) twelve times?
(d) (-1), 2m times, m is a natural number?
Answer:
(a)positive
(b)negative
(c)positive
(d)positive
what is a reclusive formula?
Answer:
a formula that defines each term of a sequence using preceding terms
Step-by-step explanation:
gogle
Answer:
A recursive formula is a formula that defines each term of a sequence using preceding term(s).
A rectangular field is built next to a house and is enclosed by 400 m of fencing for the 3 remaining sides. Determine the dimensions of the field to maximize the area to nearest tenth of a metre.
Answer:
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
Step-by-step explanation:
The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:
[tex]A = x\cdot y[/tex] (1)
[tex]p = 2\cdot x +y[/tex] (2)
Where:
[tex]x[/tex] - Width, measured in metres.
[tex]y[/tex] - Height, measured in metres.
Note: We assume that height of the rectangle is parallel to the wall of the house.
By (2):
[tex]y = p - 2\cdot x[/tex]
In (1):
[tex]A = x\cdot (p-2\cdot x)[/tex]
[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)
Then, we obtain its first and second derivatives by Differential Calculus:
[tex]A' = p - 4\cdot x[/tex] (4)
[tex]A'' = -4[/tex] (5)
By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:
[tex]x = \frac{p}{4}[/tex]
And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:
[tex]x = 100\,m[/tex]
[tex]A = 20000\,m^{2}[/tex]
And the height of the triangle is:
[tex]y = 200\,m[/tex]
The dimensions of the field to maximise the area are 100 metres (width) and 200 metres (height).
In AABC, AB = CA and mZA = 110°. Find mZC.
Answer is 35 degrees
Twice the sum of a number, n, and seven is four less than the quotient of a number, n, and three.
Answer:
Step-by-step explanation:
[tex]2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6[/tex]
Need an explanation pls
Find the unit price the 24 cupcake for $56 to the nearest cent.
Answer:
$517.50
Step-by-step explanation:
25x20.7
Look at the question below
Answer:
D = 18 miles
Step-by-step explanation:
The coordinate of a library = (4,3)
The coordinate of the school = (-5,3)
We need to find the distance between the library and the school. We can use the distance formula i.e.
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles[/tex]
As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles
So, the correct option is (c).
I need help with this one...
Consider two circular swimming pools. Pool A has a radius of 32 feet, and Pool B has a diameter of 19.7 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A _____ is meters. So, the diameter of Pool _____ is greater, and the circumference is _____ by _____ meters
ILL GIVE YOU BRAINLIEST AND ALL MY POINTS PLS HELP MEEE Tysm Algebra
Answer:
I think it is the second one haha loll
Simplify 8(2x2−3x −.5)=
Answer:
16x^2-24-4
Step-by-step explanation:
8(2x^2-3x-.5)
16x^2-24x-4
In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
What is the length, in centimeters, of AC?
NEED HELP ASAP
Answer:
12
Step-by-step explanation:
Use the Pythagorean Theorem to solve.
10 squared minus 8 squared=36
Square rt = 6
6 + 6=12
The length, in centimeters, of AC should be considered as the 12
Calculation of the length:Since
In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
So here the length should be like
= 10^2 - 8^2
= 100 - 64
= 36
= 6
So for AC it should be
= 6+ 6
= 12
Hence, The length, in centimeters, of AC should be considered as the 12
Learn more about length here: https://brainly.com/question/12497184
PLEASE HELP ME You want to buy a pet bunny that costs $233. You already have $52 and you plan to save
$13 per week. If w represents the number of weeks until you have enough money to buy
the bunny, which equation could you use to find the value of w?
a) 52 - 13x = 233
b) 13x + 52 = 233
c) 521 -13 = 233
d) 521 + 13 = 233
Answer:
The answer is b
Step-by-step explanation:
Plz help me with this question
Answer:
122
Step-by-step explanation:
[tex]x^6+y^2[/tex]
Plug in 1 for x and 11 for y
[tex]=1^6+11^2[/tex]
1 to the power of any number will always equal 1
[tex]=1+11^2\\=1+121\\=122[/tex]
I hope this helps!
Can I have some help please?
See diagram below.
===========================================================
Explanation:
The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)
For the general parabola y = ax^2 + bx + c, we can define h to be
h = -b/(2a)
In this case, we plug in a = -2 and b = 8 to find h to be...
h = -b/(2a)
h = -8/(2*(-2))
h = -8/(-4)
h = 2
Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get
f(x) = -2x^2 + 8x - 1
f(2) = -2(2)^2 + 8(2) - 1
f(2) = -2(4) + 8(2) - 1
f(2) = -8 + 16 - 1
f(2) = 8 - 1
f(2) = 7
This means k = 7
So the vertex for f(x) is at (h,k) = (2,7)
The max value of f(x) is f(x) = 7 which is the same as y = 7.
The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.
Therefore, g(x) produces the larger maximum value compared to f(x).
We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).
The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.
36 students for 3 teachers _ students for 1
Answer: 12 students for 1 teacher.
Step-by-step explanation: 36 students divided by 3 teachers is 12 students for each teacher.
Answer:
The answer is 12
Step-by-step explanation:
36 students divided by 3 teachers
36 / 3 = 12
Hope this helps!! ;3
A 8.33% tax is added to a $120 grocery bill.
A. Amount of tax: $9.99
B. Total paid: $127.99
Find the distance between the two points rounding to the nearest tenth (if ne
(-7, -7) and (1, -3)
What is a unit fraction of 4/5
Answer:
1/5
Step-by-step explanation:
i need hell with this pleasee
what is 2/5 x 6/7 as a fraction.
Answer:
12/35
please give me brainliest!
The product of the fractions is 12/35, or 2/5 x 6/7 as a fraction is equal to 12/35.
Given that we need to convert 2/5 x 6/7 in a fraction.
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, you have:
(2/5) x (6/7)
Multiplying the numerators gives you 2 x 6 = 12, and multiplying the denominators gives you 5 x 7 = 35.
So, the product of the two fractions is: 12/35
Therefore, 2/5 x 6/7 simplifies to 12/35 as a fraction.
Learn more about Multiplication click;
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