Step-by-step explanation:
plug in the values of x in the function
1. 58
2. 90
3. 148
4. 180
PLEASE HELP!!! URGENT!!! ASAP!!! WILL GIVE BRAINLIEST!!! JUST PLEASE LEND ME A HELPING HAND!
Let P(t) represent the amount of a certain drug, in milligrams, that is in the bloodstream at time t hours. The rate at which the drug leaves the bloodstream is proportional to the amount of the drug in the bloodstream. The amount of the drug in the bloodstream can be modeled by dP/dt = kP, where k is a constant and t is time, in hours. At time t = 0,500 milligrams of the drug was administered. At the moment when the amount of the drug in the bloodstream is 50 milligrams, the amount is decreasing at a rate of 11.5 milligrams per hour. Which of the following is an expression for P (t)?
A. P(t) = 500 – 0.23t.
B. P(t) = 500 – 0,23 42.
C. P(t) = 500e -0.231.
D. P(t) = e-0.23+ + 499.
As proportional relationship, the amount decreasing at a rate milligrams per hour can be written in expression P(t) = 500 + e⁻⁰²ˣ
What is Proportional relationship?In math, the relationships between two variables where their ratios are equivalent is known as proportional relationship.
Given that P(t) represent the amount of a certain drug, in milligrams, that is in the bloodstream at time t hours.
Here we have the rate at which the drug leaves the bloodstream proportional to the amount of the drug bloodstream.
The amount of the drug in the bloodstream can be modeled by dP/dt = kP, where k is a constant and t is time, in hours.
Here we need to find the expression.
Bloodstream = 500 milligrams
So, the expression for this proportional relationship is written as;
P(t) = 500 + e⁻⁰²ˣ
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You want to determine how quickly messages can spread on a social media website. On the first day, you
create a message that is shared with 2 people. On the second day, each of those people share it with 3 people.
On third day, everyone who received the message shares it with 3 more people, and so on. Write an equation
that represents the nth term of the geometric sequence. Then find as.
The equation that represents the nth term of the geometric sequence is 6 x 3^N = X.
Equations
Given that you want to determine how quickly messages can spread on a social media website, and on the first day, you create a message that is shared with 2 people, and on the second day, each of those people share it with 3 people, and on the third day, everyone who received the message shares it with 3 more people, and so on, to write an equation that represents the nth term of the geometric sequence, the following calculation must be made:
2 x 3 x (3 x (3 x (3 x( 3 x ...)))) = X2x3x3^N = X6x3^N = XTherefore, the equation that represents the nth term of the geometric sequence is 6 x 3^N = X.
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Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds.
Answer:
see attached
Step-by-step explanation:
Any of the vertical lines is perpendicular to any of the horizontal lines.
The open/close/adjust handle is perpendicular to the blind slats and the blind frame.
The threads that hold the slats, and the string that raises/lowers them are also perpendicular to the slats.
Provide two numbers that are on the opposite side of zero.
Answer:
Positives: 9 and 4
Negatives: -5 and -7
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What is 316+178*2427(2639+26383)-373637/282637
Answer:
12537678446.7
Step-by-step explanation:
316+178 divided by 2427 (2639 plus 26383) - 373637/282637
guys i NEED HELP NOW! ansewr this ( 2 1/4) x (-8)
Answer:
-18
Step-by-step explanation:
If you turn 2 1/4 into an improper fraction, you get 9/4
Turn -8 into an improper fraction, you get -8/1
Equation: 9/4*-8/1
You can cross cancel the 4 and the 8 so your equation becomes 9/1*-2/1 which becomes 9*-2
Multiply and you get -18 :)
Please help! Problem is below! What is the length of CD to the nearest tenth of a centimeter? All angles are right angles and right triangles are formed.
What’s the answer to them and can u show work as well
3. 5
Constant terms are terms with no variables attached to them, and will not change under any circumstances. A variable is typically denoted by a Latin Alphabet.
4. 4
The coefficient is the whole number found in front of the variable, typically being multiplied to it. In this case, you are solving for the coefficient that is found in front of g², which is 4.
5. -3c
The coefficient -3 is found at the 3rd term of the expression.
6. -12x & -17x ; 15y & 16y
Like terms are terms with the same variable as well as the same amount of variables. For example x² is not a like term of x, though both variables have x to signify them.
7. 3c
Unlike terms are terms that do not share at least one partner of the same amount of variables. c is a variable by itself with no other terms containing it, and so is your answer.
~
Please help with math please
Answer:
eight to the power of 4 would be 8x8x8x8, 9 cubed would be 9x9x9 and 9^3, 17x17x17, 21x21x21x21x21 and 21^5, 7^2, 11x11x11x11
Step-by-step explanation:
Which inequality describes the graph
Y < 3/4x -3
Y _> 3/4x -3
Y _< 3/4x -3
Y > 3/4x -3
Answer: Choice B) [tex]y \ge \frac{3}{4}x-3[/tex]
The boundary is the equation y = (3/4)x-3 which goes through (0,-3) and (4,0)
This boundary is a solid line. Since it's a solid line, we will involve "or equal to" as part of the inequality sign.
The shading above the boundary line indicates we'll also have "greater than" as part of the inequality sign.
So overall, the inequality sign is "greater than or equal to". That leads to choice B.
P is inversely proportional to q^3, when p has the value 27, q has the value 3. i) find the formula which expresses p in terms of q. P= r is directly proportional to q, when r has the value 10, q has the value 2. ii) prove that r=kp^n and so find the value of k and n.
Answer:
Step-by-step explanation:
i) If p is inversely proportional to q³, this is expressed as p ∝ q³
p = k/q³ where q is the proportionality constant.
Given p = 27 and q = 3
Substitute this values into the formula
27 = k/(3)³
27 = k/27
k = 27×27
k = 729
Substitute k = 1 into the formula
p = 729/(q)³
Hence the formula which expresses p in terms of q is p = 729/q³
ii) If r is directly proportional to q, it is expressed as r ∝ q
r = kq
If r = 10 and q = 2
Substitute
10 = 2k
k = 10/2
k = 5
The equation becomes
r = 5q... 1
From 1) p = 729/q³
q³ = 729/p
q = 9/³√p
q = 9/p^1/3....2
Substitute equation 2 into 1
r = 5(9/p^1/3)
r = 45p^-1/3
Compare r = 45p^-1/3 with r = kp^n
k = 45 and n = -1/3
Suppose the equation is 9.99s + 7.99s + 4.6 = 53.94. Can you combine the s terms and 4.6? Explain.
Answer: No you cannot.
Step-by-step explanation:
They are different units and cannot be combined.
What does the ㏑symbol on a calculator do?
Thanks :)
Answer:
That handy button allows you to instantly change a positive number into a negative number, or, to change a negative number to a positive one
A 2-column table with 4 rows. The first column labeled Elevation (meters) has entries 500, 1000, 1500, 2000. The second column labeled Temperature of air (degrees Celsius) has entries 11. 8, 8. 5, 5. 3, 2. 0. As elevation increases, temperature decreases. At which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters.
At an elevation of 500m, the sound will travel fastest.
Elevation Temp
500m 11.8°C
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temeratures?We know that air molecules at higher temperatures have more energy and can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the given temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Write the equation of the line that passes through the points (4,-1) and (4,8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = 4
Step-by-step explanation:
Given the points (4, - 1) and (4, 8)
Note the x- coordinates are 4 in both cases.
This indicates the line passing through the points is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through. In this case 4, thus
x = 4 ← equation of vertical line
Which value of x makes the equation 6 ( x − 2 ) = 3 − 9 x true?
Answer:
x = 1
Step-by-step explanation:
6(x - 2) = 3 - 9x
We want to find x so that LHS = RHS/
6x - 12 = 3 - 9x
6x + 9x = 3 + 12
15x = 15
x = 1
Not 100% sure!
The value of x that makes the equation true is x = 1.
What is an expression?An expression in mathematics is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value or quantity.
We can solve for x by simplifying the equation using the distributive property and combining like terms:
6(x - 2) = 3 - 9x
6x - 12 = 3 - 9x (distribute 6)
6x + 9x = 3 + 12 (add 9x and 12 to both sides)
15x = 15 (combine like terms)
x = 1 (divide both sides by 15)
Therefore, the value of x that makes the equation true is x = 1.
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Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Malik pay back altogether?pls help
$520
$2,080
$8,000
$10,080
Answer:
$520
Step-by-step explanation:
8000x0.065=520
I need some help with this one please and thanks.
Answer:
116
Step-by-step explanation:
hope this helps
help pleaseeeeeeeeeeee
Answer:
3x + 7
Step-by-step explanation:
let the number be x then multiply it by 3 is 3x , then add 7 is
3x + 7
Answer:
3x + 7
Step-by-step explanation:
3 multiply x then add 7
3x + 7
A patient is expected to drink 8 fluid ounces of water every hour for 5 hours prior to going to bed, the night before a colonoscopy. Then right before bed, they must drink 6 fluid ounces of water and 5 ounces of Pedialyte. How many total fluid ounces has the patient consumed prior to going to bed.
Answer:
40
Step-by-step explanation: It's 40 because 8 times 5 is 40. But if you want to find out how much water the patient drank all together including right before bed then it would be 46 ounces of water.
the adjacent side of a parrallelogram are 12 and 7cm.if the angle between them is 150 degrees.find the area of the parallelogram
Answer:
area of parallelogram= 59.39 cm square
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer, B
I looked up this question and i couldnt find the correct one, so here you go
Darren arrived at school at 8:00 a.m. and left at 2:30 p.m. Dean arrived at school at 8:15 a.m. and left at 3:15 p.m. How much longer was Dean at school than Darren
Answer:
Dean was at school for 30 minutes more than Darren.
Step-by-step explanation:
8:15-3:15 is 7 hours. 8:00-2:30 is 6 hours 30 minutes. The difference between the two is half an hour.
Hope this helps!!
how many numbers are between 1 and 212
Answer:
210 (numbers between )
Step-by-step explanation:
Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean
(07.02 MC) what is the value of y in the equation 3(3y - 15) = 0?
Answer:
[tex]y = 5[/tex]
Step-by-step explanation:
Given equation:
[tex]3(3y - 15) = 0[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3(3y - 15)}{3} = \dfrac{0}{3}[/tex]
[tex]\implies 3y-15 = 0[/tex]
Add 15 to both sides:
[tex]\implies 3y-15 +15= 0+15[/tex]
[tex]\implies 3y=15[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3y}{3}=\dfrac{15}{3}[/tex]
[tex]\implies y=5[/tex]
Answer:
The value of y is 5.
Step-by-step explanation:
First, we will distribute 3 on (3y - 15) This means 3(3y) - 3(15) = 0. Now, we will multiply 3 by what is inside the parentheses for each value. This gives us 9y - 45 = 0. After that, we will add 45 to both sides, which leaves us with 9y = 45. Finally, we will divide 45 by 9 to give us the y value, 5. I hope this helped (:
anyone know the answer
Answer: 0.1 goes in the blank because the hundredths is improper
Step-by-step explanation:
Last year a tree was 12.8 meters tall it grew 1.35 meters taller this year if it grows the same amount next year how tall will the trees be
Answer:
15.5 meters tall
Step-by-step explanation:
Add 1.35 for each year to the start amount.
A small rectangular package has a area of 9x square units and a height of 5 units. A large rectangular package has an area of 6 square units a d a height of 3x units more than the small box. What equation could be used to determine the volume of the large rectangular box?
The equation to determine the volume of the rectangular box is:
V = 6 * (5 + 3x)
Given that the area of the large rectangular package is 6 square units and its height is 3x units more than the small box,
To determine the volume of the large rectangular package, multiply its area by its height.
Volume of the large rectangular package = Area of the large rectangular package * Height of the large rectangular package
The area of the large rectangular package is given as 6 square units, so we substitute it into the equation:
Volume of the large rectangular package = 6 * Height of the large rectangular package
Now, the height of the large rectangular package is 3x units more than the small box. The height of the small box is 5 units, so we add 3x to it:
Height of the large rectangular package = 5 + 3x
Substituting this into the equation:
Volume of the large rectangular package = 6 * (5 + 3x)
Hence, the equation to determine the volume of the large rectangular package is: Volume = 6 * (5 + 3x)
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