a the power m ×b the power n
Answer:b = +7-6
Step-by-step explanation:
Solve as a difference equation.
After caffeine is absorbed into the body, 1% is eliminated from the body each hour. Assume a person drinks an 8-oz cup of brewed coffee
containing 130 mg of caffeine, and the caffeine is absorbed immediately into the body. Find the difference equation for Yn, the amount of caffeine in
the body after n hours. Solve the difference equation. After how many hours will 65 mg (one-half the original amount) remain in the body? How
much caffeine will be in the body 24 hours after the person drank the coffee?
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So [tex]$\frac{dy}{dn}= - \ Y$[/tex]
[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]
[tex]$Y = 130 \ e^{-0.01n}$[/tex]
When Y = 65
[tex]$65 = 130 \ e^{-0.01 n }$[/tex]
[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]
[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]
n = 69.315 hours
At n = 24 hours
[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]
Y = 102.26 mg
A quiz consists of 920 true or false questions. If the student guesses on each question, what is the mean number of correct answers
Answer:
460
Step-by-step explanation:
This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.
True represents correct = 0.5
False represents wrong = 0.5
The probability of correct is = 0.5
With a sample size of 920
Mean = no
= 920x0.5
= 460
So the mean number of correct answer from this calculations I just did is equal to 460
у = 2 – 3х
Is this a linear equation
Please help! (Not hard) I’m just slow
Answer: i think it is a
Step-by-step explanation:
Answer- the answer is C because x axis gos first therefore y=2
Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
A.-$134
B.$134
C.$604
D.-$604
Answer:
C. 604
Step-by-step explanation:
Karana returned the items so you are adding the money back to the credit card which would be 604. 369 + 235 = 604
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
A square has a side that is 5 meters long. What is the diagonal length of the square?
Answer:
5 meters
Step-by-step explanation:
a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters
3.0625 divided by 7 in long division
Answer:
the answer to your question is 0.4375
Evaluate the expression.
| 31 | + | –5 |
Answer:
36
Step-by-step explanation:
The answer is the absolute value of 31 + (-5)
So it is 36
a) 15% of what is 12?
Answer: 80
Step-by-step explanation:
Given
15% of ? is 12
We multiply
Answer:
80
Step-by-step explanation:
15% × ? = 12
? =
12 ÷ 15% =
12 ÷ (15 ÷ 100) =
(100 × 12) ÷ 15 =
1,200 ÷ 15 =
80
HELPPPPPPP!!!!! PLEASE!!!!!
Answer:
B
Step-by-step explanation:
You can tell by looking at the graph that the x coordinate is 4, and the only option with an x coordinate of 4 is B
What is the degree of the simplest polynomial function with zeros at the square root of 3, 4i, and -2.
Answer:
Degree of polynomial → 4
Step-by-step explanation:
Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.
In this question it has been given that a polynomial function has the zeros (roots) as x = [tex]\sqrt{3}[/tex], 4i and -2.
Therefore, the given polynomial will have four roots, [tex]\sqrt{3}[/tex], 4i, -4i and -2.
Function will be f(x) = (x - [tex]\sqrt{3}[/tex])(x + 4i)(x - 4i)(x + 2)
Degree of the polynomial → 4
A number with no variable attached is called a what
Answer:
constants
Step-by-step explanation:
That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The term or number with no variable attached is called a constant as in the polynomial or expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
A number consists of the expression with no variable.
As we know, the expression is a combination of numbers, variables, and operators.
If we take an example of the polynomial.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here a₀ is a constant because the term a₀ has no variables.
Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
What is the area in square inches?
Answer:
946 Sq Inches
Step-by-step explanation:
just cut it off to make two rectangles
28 * 7 = 196
30*25= 750
then add em up
750+196 = 946
Answer:
918 in²
Step-by-step explanation:
Those are just 2 recangles.
1. 30*25 = 750
2. 7*24 = 168
add 750+168= 918
Do both ASAP due in 7 mins and pls show all the steps
the answer is 1961.6
if you need a remainder, it is 1961 r9
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
Can someone help me with this ONE question? Write an equation.. and solve for X
Answer:
Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
x=17
Step-by-step explanation:
A 6 sided polygon is 720° degrees
so
720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
Simplify
720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)
Combine like terms:
720=26x+278
flip equation:
26x+278=720
subtract 278 from both sides
26x=442
divide by 26 both sides:
x=17
Hope this helps.
Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on the weekdays to the total number of hours she worked?
Answer:
25:36
Step-by-step explanation:
the number of hours on weekdays which is 25, and the total hours she worked is 25+11 which is 36, so it is 25:36
2x+3x+y+2y combining like terms and distributive property
Answer:
5x+3y
Step-by-step explanation:
You combine the x's and the y's
Need help with number 3 please
Answer:
I believe the answer is 7 for the rate of change
Step-by-step explanation:
100 points to the people who answer and you'll be reported if answer with something stupid
Y'all, what's another way to say "dramatic flare"
please and thank you:)
Answer:
another way to say dramatic flare is flamboyant which means to be loud and dramatic like saying the shirt with the parrots on it is very flamboyant
Step-by-step explanation: brainliest plz
what is equivalent to 9 x (78) will brainlist
What is the independent variable of y=3.5x+2.8
Answer:its y and x = 6.3
Step-by-step explanation:
look
Find X for this shape
Answer:
x=58
Step-by-step explanation:
ok this is a 5 sided polygon
5 sided polygon has 540 degrees
540-90-120-108-100= the unkown angle
122
but look at the line exterior plus interior = 180 degrees
180=122+x
subtract 122 from both sides
x=58
|-4y+2z|-7z z=-9 and y=2
Answer:
37 sorry if i calculated wrong
step-by-step explanation:
Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p).
Answer:
3(4+n)
Step-by-step explanation:
What is the Cost of Goods if manufacturing costs equal $50 each, packaging equals $1.00 each, delivery equals $2.00 each, and advertising equals $1,000?
Answer:
$1,053.00
Step-by-step explanation:
50 + 1.00 + 2.00 + 1,000 = 1,053.00
Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
what is 9 + 10? hi my name is andy. i have a dad who works on this website and i want to prank him
Answer:
19.
How do you want to prank him?
Step-by-step explanation:
Answer: 19
Step-by-step explanation: 9+10 is equal to 19. (I get the joke but I don't want to get flagged)