Answer:
h=(x/5)-8
Step-by-step explanation:
i hope that helps
Formula for h is, h = 1/5 (x - 8).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The formula is,
⇒ x = 5h + 8
Now, We can solve the formula for h as;
⇒ x = 5h + 8
Subtract 8, we get;
⇒ x - 8 = 5h + 8 - 8
⇒ x - 8 = 5h
Divide by 5;
⇒ 1/5 (x - 8) = h
⇒ h = 1/5 (x - 8)
Learn more about the mathematical expression visit:
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Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Plz helplplpp this is due NOWWW
Answer:
Option 2
Step-by-step explanation:
1/4 is equal to .25 or 25/100
whats 0.1 as a percent
Answer:
TO findt he percent move the decimal place to the right 2 times. THis applies for any decimal. Therefore the percent is 0.1--->10%
Step-by-step explanation:
Please stat Brainlist who ever answers first OR! Who ever answers with a fluent explanation.
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.
Answer:
Yes it is a proportional relationship.
Step-by-step explanation:
It is because You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.
Can you please tell me if this is a function or not
What is the Inverse function of F(x)=3x²?
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
i dont have one. i just did it.
I need asap!!!brainliest for best answer
Answer:
D
Step-by-step explanation:
the answer is D ok so u see how she jsbdjdbd
It is 5:15 pm now. What time will it be in 40 minutes?
5:45 am
A5:45 pm
c5:55 pm
6:00 pm
Answer:
C:5:55
Step-by-step explanation:
5:15 plus 40 minutes will be 5:55
Answer:
C. 5:55 itssssss easyyy
Step-by-step explanation:
5:15
+40
55
Jack is 2 times as old as Lacy. 5 years ago the sum of their ages was 20. How old are they now?
Answer:
2x-6=8
2x-6=8+6
2x=24
x=12
Is y=6x-4 proportional?
Answer: no
Step-by-step explanation:
it wont be proportional since if we substitute 0 for x y wont be 0
Helpp meeeeeee plzzz (13 points )
Answer:
that they both have right angles and have a leath of 5
Step-by-step explanation:
Find the value of x. Will give brainliest
Answer:
x = 11
Step-by-step explanation:
Angle CAB = 33 degrees (Z-figure)
Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.
Sum of all angles in the triangle should equate to 180 degrees.
Now the sum is of all angles in triangle ABC is:
CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x
So 213 - 3x should equal 180.
213 - 3x = 180 <=> -3x = -33 <=> x = 11
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
What type of correlation does the scatter plot show?
A. Positive
B. Negative
C. Cannot tell
D. None
what is the largest prime number?
Answer:
28258933-1
Step-by-step explanation:
hope it helps you
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining the letter p twice
Answer:
The probability of obtaining the letter p twice is 1/121
Step-by-step explanation:
Probability of Recurring Events
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
[tex]\displaystyle P_1=\frac{1}{11}[/tex]
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
[tex]\displaystyle P_2=\frac{1}{11}[/tex]
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]
[tex]\displaystyle P=\frac{1}{121}[/tex]
The probability of obtaining the letter p twice is 1/121
Hurry please
I need the answer to this one in 2 minutes
Answer:
125
Step-by-step explanation:
45 ÷9=5
5² or 5×5=25
25×5=125
Hope this helps!
Answer:
I THINK ITS
Step-by-step explanation:
5x(2025 ÷81)
5x25
125
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank
Answer:
Step-by-step explanation:
False,true,true
a coffee supplier finds that it cost $850 to roast and package 100 pounds of coffee in a day and $2850 to produce 500 pounds of coffee in a day. assume that the cost function is linear. express the cost as a function of the number of pounds of coffee they produce each day
Answer:
f(x) = 5x + 350
Step-by-step explanation:
Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.
The 2 points are (100, 850) and (500, 2850)
Then, use rise over run to find the slope:
(y2 - y1) / (x2 - x1)
(2850 - 850) / (500 - 100)
2000 / 400
= 5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
850 = 5(100) + b
850 = 500 + b
350 = b
Plug in the slope and y intercept into y = mx + b to get the equation:
y = 5x + 350
Put it into function form:
f(x) = 5x + 350 is the cost function
Which of these affect real investment value? Check all that apply.
Answer:
Fees and expenses
nominal interest rate
taxes
Step-by-step explanation:
The freshman basketball coach’s office has a doorway that is 77 inches high. The coach will only recruit those student athletes who have to duck to enter the office. Of all the freshmen who wish to play basketball, the mean height is 75 inches with a standard deviation of 2.82 inches. Meanwhile, the football coach will only recruit student athletes to play linebacker (a defensive position) who weigh 210 pounds or more. Of all the freshmen who wish to play linebacker, the mean weight is 190 inches with a standard deviation of 12.32 pounds. Who do you think will have a harder time recruiting players?
Sale! 25% OFF of the original price! Laura wants to buy a sleeping bag. The original price is $56. How much will Laura pay if she buys it during the sale.
Answer:
$14
Step-by-step explanation:
56 × 0.25 = 14
to check this, you can divide 14 ÷ 56 = 0.25
to turn a percentage into a decimal, just divide it by 100
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
The amount of change that goes up
Answer:
rates of change, positive or negative
Step-by-step explanation:
What is the common difference between successive terms in the sequence?
0.36, 0.26, 0.16, 0.06, –0.04, –0.14, ...
A.)–0.1
B.)–0.01
C.)0.01
D.)0.1
Answer:
-0.1
any more help just ask :)
Answer:
up
Step-by-step explanation:
A. -1 I hope I helped ...........Let f(x) = 9x and g(x) = x + 7. What's
the smallest number that is in the domain of
fºg?
Enter the correct answer.
OOOO
DONE
Clear all
Answer:
Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)
Step-by-step explanation:
I'm not sure if that's right
What is the graph of y=3/4x-3?
Answer:
Graph A
Step-by-step explanation:
you can write the equation into desmos (search it up on google) and it will produce a graph for you and just match it to the ones you have shown
A man travels 320 miles in 8 hours. If he continues at the same rate, how many miles will he
travel in the next 2 hours?
Answer: 80 miles
Step-by-step explanation:
320miles/8hours= 40mph
40mph=xmiles/2hrs
40*2= 80 miles
Levante changes 24 650 Hungarian forints to dollars.
The exchange rate is $1 = 290 forints.
Calculate how many dollars Levante receives.
Someone helpppppp
The relation between the dollars and forints will be directly proportional. Then the number of dollars will be $ 85.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Levante changes 24 650 Hungarian forints to dollars.
Then the relation between the dollars and forints will be directly proportional. Then we have
Let x be the number of the dollars. Then we have
x / 1 = 24650 / 290
x = $ 85
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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