Answer:
there are 32 bottles needed
Step-by-step explanation:
Thanks
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.
Answer:
The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]
Step-by-step explanation:
From the question we are told that
The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]
Generally this equation can be represented as
[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]
Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as
[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]
=> [tex]\frac{dR}{dM} = CM - M^2[/tex]
decrease 5% by 2205
Answer:
The answer is,2094.75
Step-by-step explanation:
Percentage decrease = 5% × 2,205
2,205 - Percentage decrease =
2,205 - (5% × 2,205) =
2,205 - 5% × 2,205 =
(1 - 5%) × 2,205 =
(100% - 5%) × 2,205 =
95% × 2,205 =
95 ÷ 100 × 2,205 =
95 × 2,205 ÷ 100 =
209,475 ÷ 100 =
2,094.75
Or to be simpler
You find 5% of 2,205 which is 110.25 then subtract it from 2205 which is 2,094.75 and that 5% of 2,205
What value is equivalent to 52 + 53 − 54?
Answer:
51
Step-by-step explanation:
Answer: 51
Step-by-step explanation:
Evaluate
You have 32 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
How many servings can you make? Whole servings only - round down rather than using partial servings.
Answer:
25 servings
Step-by-step explanation:
7.51 rounded to the nearest tenth
Answer:
7.5
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
I am a senior so I am right
In a game you have 1/20 probability of winning $76 and a 19/20 probability of losing $9. What is your expected value?
Answer:
1
Step-by-step explanation:
The expected value for the given case is $-4.75.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
Given that,
The probability of winning $76 is 1/20.
And, the probability of losing $9 is 19/20.
The expected value for the given probability can be given by taking the product of the probability and the wining or losing amount and then substracting them as,
Expected value = 1/20 × 76 - 19/20 × 9
= 3.8 - 8.55
= -4.75
Hence, the expected value of amount for losing and winning the game is $-4.75.
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Beth and Pam both did some babysitting in the summer. Pam earned $4 less than 3 times as much as Beth. Together they earned $860. How much money did each person earn babysitting?
======================================================
Work Shown:
B = amount Beth earned
P = amount Pam earned
amounts are in dollars
Pam earned $4 less than 3 times as much as Beth, so,
P = 3B-4
Together they earned $860, meaning
P+B = 860
Plug the first equation into the second. Solve for B
P+B = 860
3B-4+B = 860
4B-4 = 860
4B = 860+4
4B = 864
B = 864/4
B = 216
Use this to find P
P = 3B-4
P = 3*216-4
P = 648-4
P = 644
Beth earned $216 and Pam earned $644.
----------------------------------------
Check:
B+P = 860
216+644 = 860
860 = 860
First equation is true
P = 3B-4
644 = 3*216-4
644 = 644
Second equation is true
Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.
Isabel purchased a prepaid phone card for $20. Long-distance calls cost 18 cents a minute using this card. Isabel used her card only once to make a long-distance call. If the remaining credit on her card is $14.24, how many minutes did her call last?
Answer:
20 - .07c = 17.13
20 - 17.13 = 2.87
2.87/7 = 41
Her call took 41 minutes
Step-by-step explanation:
Identify the slope of the line using the 2 points
(8,-7), (6,17)
12
-12
12
12
can you make an irrational number, a rational number and if possible, how?
Answer:
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
A bamboo tree grew 3 in. Per day. Write and solve an equation to find how many days d it took the tree to grow 144 in. What is the equation
Answer:
144 divided by 3 = d (number of days)
Step-by-step explanation:
Answer:
Equation: 3d=144
Solution: 48 days
Step-by-step explanation:
Since it grown 3 in. per day and it grew 144 in.
U have to divide the 2 numbers
3d=144
d=144/3
d=48 days
(d=how many days)
Help.-. Plsssssssssss
Answer:
mDE = 9
Step-by-step explanation:
mCD and mDE must add up to mCE
Step 1: Set up equation
mCD + mDE = mCE
5x + 1 + 3x + 3 = 20
Step 2: Solve for x
Combine like terms: 8x + 4 = 20Subtract 4 on both sides: 8x = 16Divide both sides by 8: x = 2Step 3: Find mDE
mDE = 3x + 3
mDE = 3(2) + 3
mDE = 6 + 3
mDE = 9
What is equivalent to (r^-7)^6
50 Points
What is the value of y?
Answer:
y=14
Step-by-step explanation:
measure of a=50degrees b=50 degrees c=(5(14)+10) =80
50+50+80=180
Answer:
Y= 14
Step-by-step explanation:
a=50degrees
b=50 degrees
c=(5(14)+10) =80
50+50+80=180
Sophia has fabric to make banners for school she needs 1 and 1/4 yards of fabric for each Banner she has made 4 banners and has 2 and a 1/2 yards of fabric left over how much fabric did she begin with
Answer: 7 and a 1/2
Step-by-step explanation: 1 and 1/4 times4 = 5 plus 2 and a 1/2 = 7 and a 1/2
Answer please I need it ASAP
Answer:
answer what???
Step-by-step explanation:
What is the midpoint of P(-3,-7) and Q(3,-5)
Answer: See Screenshot
Step-by-step explanation:
Please help with this fast
Answer:
integers from -1 ≤x≤2
Step-by-step explanation:
The domain is the value of the input or the x values
The domain is -1,0,1,2
integers from -1 ≤x≤2
Is (10^2)^-3 equivalent to (10^-2)^3
Answer:
Yes, they both become 1/1,000,000
Step-by-step explanation:
if f(x) = 2x + 4 and g(x) = 6x - 10, find f(4) - g(2)
Answer:
f(4) - g(2) = 10
Step-by-step explanation:
[tex]f(x) = 2x + 4 \\ f(4) = 2 \times 4 + 4 = 8 + 4 = 12 \\ \\ g(x) = 6x - 10 \\ g(2) = 6 \times 2 - 10 = 12 - 10 = 2 \\ \\ f(4) - g(2) = 12 - 2 \\ \\ \huge \red{ \boxed{ f(4) - g(2) = 10}}[/tex]
The sales tax for a $53.85 handbag with a 7% sales tax is
Answer:
$3.77 is the tax. Total is $57.62 is you buy it.
Step-by-step explanation:
Answer:
3.77
Step-by-step explanation:
Sales price x sales tax rate = sales tax
53.85 x .07 (7%) = 3.77
Cual es el resultado correcto de la siguiente ecuación 2x-8=?
Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55 m How many months, m, did Barbara receive dance lessons from Dance Unlimited? F. 2.25 months G. 6 months H. 12 months J. 9 months
Answer:
G. 6 months
Step-by-step explanation:
1. 495-165 to remove the one-time payment = 330
2. 330/55 to find the number of months = 6
Barbara receive 6 months of dance lessons from Dance Unlimited
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165.
Let m be the no of months and f(m) is the total cost.
∴ f(m) = 55m + 165.
The equation represents the $495 total cost,
∴ 495 = 55m + 165.
55m = 330.
m = 330/55.
m = 6.
Barbara receives 6 months of dance lessons from Dance Unlimited.
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-9y+7=24y-4. Solve for y.
Answer:
y=1/3
Step-by-step explanation:
-9+7=24y-4
7=33y-4
11=33y
y=1/3
what IS the sum 59+23
Answer:
82
Step-by-step explanation:
59 + 23 = 82
The sum of 59 and 23 is 82
प्रश्न 5 समीकरण हल कीजिए- (आलेख विधि से नही)
4x-5y+16 =0
2x+y-6 =0
bicol method)
Answer:
Step-by-step explanation:
Given the simultaneous equation
4x-5y+16 =0 ....... 1
2x+y-6 =0 ...... 2
Let us solve to get the variable x and y:
The equation becomes
4x-5y =-16 ........ * 1
2x+y =6 ...... *2
Using Elimination method
Multiply eqn 1 by 1 and eqn 2 by 2
4x-5y =-16
4x+2y =12
Subtract resulting equation
-5y-2y = -16-12
-7y = -28
solve for y
-7y/-7 = -28/-7
y = 4
Substitute y = 4 into equation 2 to get x
2x+y =6
2x + 4 = 6
2x = 6-4
2x = 2
x = 2/2
x = 1
hence x is 1, y is 4
A the graph shows a proportional relationship between the number of computers produced a factory per day and 3 days 36 computers are produced 48 computers are produced in 4 days and 60 computers are produced in 5 days find the unit rate of computers per day using the graph
Answer:
12 computers/1 day
Step-by-step explanation:
Take one of the day numbers and the output: 60/5=12 per day
If x = − 4, which number line shows the value of |x|?
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.
Answer:
B
Step-by-step explanation:
Juan runs 6 miles in 30 minutes. At the same rate, how many miles would he run in 35 minutes.
Answer:
7
Step-by-step explanation:
30 ÷ 6 = 5 minutes per mile
7 × 5= 35
Answer:
He would run seven miles in 35 minutes.
Step-by-step explanation:
If he runs 6 miles in 30 minutes, then he runs at a rate of 1 mile in 5 minutes. So he'd be running 7 miles in 35 minutes. Multiply 5 by 7.
Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
(fog)(-2)
(fog)(-2) =
PLEASE HELP!!!
Answer:
Ok:
Step-by-step explanation:
So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:
if f(x) = 2x+2
and g(x) = [tex]x^2[/tex]
f(g(x)) = [tex]2x^2+2[/tex].
Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.
Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.
And we plug in -2 to solve:
2(3(-2)-2)-3.
and get -19.
Check if I am wrong because everyone makes mistakes but that is the way to solve this.