Answer:
a) y = 400(0.75) ^x
b) Exponential Decay
Step-by-step explanation:
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
This situation above is an exponential decay situation.
The forms is given as
y = a(1 - r) ^x
Where
y = the total amount of ibuprofen
a = initial amount of ibuprofen = 400mg
r = Decay rate = 25%
x = Time in hours
Hence, the Equation is written as
y = 400(1 - 0.25) ^x
y = 400(0.75)^x
b. Does this situation represent exponential growth or decay? Explain how you know
This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.
5x + 3y = -3
2X - 3y = 24
Answer:
Y=-5/3x-1
y=2/3x-8
If you are adding then it is:
7x=21
x=3
Step-by-step explanation:
5x+3y=-3
3y=-5x-3
y=-5/3-1
2x-3y=24
-3y=-2x+24
y=2/3x-8
Answer:
If you add the two equations, you get
-5x = -10
Step-by-step explanation:
it might be wrong
The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?
Answer:
13410
Step-by-step explanation:
So, first we find 4.6% of 9000
9000 x .046 = 414
Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years
414 x 10 = 4140
now add 4140 and 9000
Answer = 13140
PLEASE HELP FOR BRAINLEIST
Answer:
25.) Slope of AB = 5
Slope of CD = -1/5
Perpendicular
26.) Slope of EF = -3/5
Slope of GH = -3/5
Parallel
Step-by-step explanation:
Use this formula to find slope. [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Parallel lines have the same slope
Perpendicular lines have the opposite reciprocal and sign
25.)
Plug in AB slope is 5
2 - 7/ 3 - 4 = -5/-1 = 5
Plug in for CD slope is -1/5
3 - 4/ 2 - -3 = -1/5 = -1/5
The lines AB and CD are perpendicular because they have opposite reciprocals and opposite signs.
26.)
Plug in EF slope is -3/5
1 - 4/ 3 - -2 = -3/5 = -3/5
Plug in GH slope is -3/5
-5 - -2/ 4 - -1 = -3/5 = -3/5
The lines EF and GH are parallel lines because they have the same slopes.
Hope this helps ya!
Answer:
what the other person said
Step-by-step explanation:
you were already saved just give them brainliest now
OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance
Answer:
b) 75%
c) 150%
d) 90%
Step-by-step explanation:
HELLPPPPPPPPPP!!!(Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answer:
Just interest is $187.50
Total is $2,687.50
Step-by-step explanation:
1. Determine what 7.5% of $2,500 is:
0.075 × 2,500 = 187.5
2. Add the interest (187.5) to the amount invested:
2,500 + 187.5 = 2,687.5
Answer:
375 interest, 2875 total
Step-by-step explanation:
I - ?
P - 2,500
R - .075
T - 2
2,500 x .075 = 187.5
187.5 x 2 = 375
375 + 2,500 = 2,875
(Do you go to GPFAA bc I have the same question)
How do you do this for expanding and factoring expressions 8(4x-12)
Answer:
32x - 96
Step-by-step explanation:
Apply the distributed property:
8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96I hope this helps!
please help!
what’s the value of x?
8
56
12
62
Answer:
56
the picture below shows one that is parallel to the
which line is 56
a fraction is shown 5/9 which number equivalent to the fraction
Answer:
10/18 or 25/45
Step-by-step explanation
What is the surface area of the solid?
Answer:
B
Step-by-step explanation:
which expression is equivalent to 8/9 divided by 3/4
3.3 X 10^{5} + 44{,}000 =3.3⋅10
5
+44,000
Answer:
374,000 or 3.74*10^5
Step-by-step explanation:
if its wrong u can report me and also srry if i got is wrong
A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?
Answer:
The sphere and the cylinder
Find the length of BC.
Answer:
BC = 8
Step-by-step explanation:
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
How can you figure out the next number in the pattern below? Write a conjecture that describes the pattern.
29, 28, 26, 23, 19...
pls pls pls pls help
How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The correct statements about given synthetic division are C, D, and F
What is a quadratic polynomial?"It is a polynomial with degree 2."
What is synthetic division?"It is defined as a way of dividing one polynomial by another polynomial of first degree."
For given question,
We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]
We can factorize above quadratic polynomial as,
[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]
This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)
And the roots of the polynomial would be,
[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]
This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]
Therefore, the correct statements about given synthetic division are C, D, and F
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
Apply the Pythagorean Theorem to find the distance between points A and C.
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
HELP ASAP :( ILL GIVE BRAINLIEST
Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.
aye wassup. what do yall want for christmas?
Answer:
Mafia Ii definitive edition for my ps4 and thats it lol ;p
Step-by-step explanation:
Answer:
I want a burrito plushie. Which I already got lol
Step-by-step explanation:
A baker has 7 3/4 bags of flour.Each bag of flour will make 60 cakes.How many cakes will the baker be able to make if she uses all these bags of flour.
400 3/4
265
80 1/2
465
The baker would be able to make 465 cakes. Or D.
Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
Math
A shirt costs $24.99. After using a gift card as a partial payment, you still
owe $9.99. What is the value of the gift card?
Your answer
Answer:
15
Step-by-step explanation:
Answer:
yes the answer Is A
Step-by-step explanation:
all you have to do is add and subtract
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above
Answer:
Your answer is (4,1).
Step-by-step explanation:
5x - 2y = 18
5(4) - 2(1) = 18
20 - 2 = 18
18 = 18 (Which means it's correct)
Let me know if you need anymore help!
plz answer! only if correct
Answer:
should be 180
Step-by-step explanation:
All triangles add up to 180 degrees based on the triangle sum theorem
What decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answer:
I think its -0.75.
Step-by-step explanation:
Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol
Answer:
WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3
Step-by-step explanation: