Answer:
= x^2 + 3 / (x-1)(x-3)
Step-by-step explanation:
Adjust fractions based on the LCM:
= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)
Combine the fractions (equal denominators):
= (x-3)^2 + 6(x-1) / (x-1) (x-3)
Expand:
x^2 + 3 / (x-1)(x-3)
Answer:d
X^2+3\(x-1)x-3)
Step-by-step explanation:
On Plato
A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv?
9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
PLS I NEED THIS ASAP 100 POINT ---------The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? 100 POINTS
Answer:
12%
Step-by-step explanation:
You never gave any numbers than 12% and you asked how much the commission would be...
If he gets 12% commission then he would have to pay 12% commission.
Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6
Answer:
y' = (x² + 4)eˣ
Step-by-step explanation:
Power rule: y' = f'(x)g(x) + f(x)g'(x)
[tex]\frac{d}{dx} [e^x]=e^x[/tex]
Step 1: Write equation
y = (x² - 2x + 6)eˣ
Step 2: Differentiate
Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣPLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE
Answer:
18 hours. For 1 hour you packed 10 boxes.
Step-by-step explanation:
help with this immediately
x= 2
Step-by-step explanation:
The answer for what does x= is,
x = 2
someone please help!!!!!!!!!
Answer:41+108+17=166
And 8×5/6×17=680/30
Step-by-step explanation:I might be wrong bit Hope its right and it helps ;)
ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?
Answer:
11.400 dollars... is the answer
Answer:
$5400
Step-by-step explanation:
9 x 600 = 5400
What is the inverse of the function? *
f(x)=3x+1
Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
Answer:
[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]
Step-by-step explanation:
Inverse means the opposite of the original function.
The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.
Answer:
12 girls =)
Step-by-step explanation:
Make a table labeled girls and boys like this
2|3
4|6
6|9
8|12
Multiply until you get to 8 boys
Determine the intercepts of the graph below please help be sure of your answer
Answer:
y= 0, .4
x= .3, 0
Step-by-step explanation:
and thats the way the cookie crumbles.
A stack of books is 62 inches high. How high is it in feet and inches?
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
which situation is best described by this number line?
Answer:
Step-by-step explanation:
Where’s the number line
11y = 2y + 45 solve for y.
Answer:
[tex]y=5[/tex]
Step-by-step explanation:
[tex]11y=2y+45[/tex]
Start by subtracting [tex]2y[/tex] from both sides of the equation:
[tex]9y=45[/tex]
Divide by the coefficient of [tex]y[/tex], which is [tex]9[/tex]:
[tex]y=5[/tex]
_
Check your work by substituting the solved [tex]y[/tex] value ([tex]5[/tex]):
[tex]11(5)=2(5)+45[/tex]
[tex]55=10+45[/tex]
[tex]55=55[/tex]
Since both sides of the equation are equal, our answer is correct!
Answer:
y = 5
Step-by-step explanation:
Solving the equation for y means finding the value of that variable that makes the equality true.
11y = 2y + 45
Subtract 2y from both sides.
11y - 2y = 45
9y = 45
Divide both sides by 9.
y = 5
Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)
Answer:
163
Step-by-step explanation:
i need an answer help !
I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)
Dividing both into this (15 x 32) below.
15=10+5
32=30+2 and both of the equations will give you the result of 4 partial products.
10x30=300
5x30=150
10x2=20
5x2=10
How many proportional relationships are shown in the coordinate plane below? Please answer quick
Answer:
The answer is 1
Step-by-step explanation:
There is 1 proportional relationship in the graph
3x - 4 < 8 and 2x+ 2 > 4
20 points crq
Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Answer:
I think its B
Step-by-step explanation:
Forgive me if I am wrong, give me brainliest if I am right!
At a wedding, guests have cone shaped containers to hold flower petals to throw on the bride and groom as they leave. The cones have a radius of 5 cm and height of 10 centimeters. If there are 150 cones, what is the total volume, that all the cones will hold?
The total volume of the 150 cones is:
Total volume = 39,270 cm³
What is the total volume, that all the cones will hold?We know that the volume of a cone of radius R and height H is given by the formula:
V = (1/3)*pi*R²*H
Where pi = 3.1415...
Here we know that the radius of the cone is 5cm and the height is 10cm, then:
R = 5cm
H = 10cm
We can replace these values to get:
V = (1/3)*3.1415*(5cm)²*10cm
The volume of the cone will be:
V = 261.8 cm³
And there are 150 of these cones, so the total volume is 150 times the above one:
Total volume = 150*261.8 cm³ = 39,270 cm³
Learn more about volume at:
https://brainly.com/question/1972490
#SPJ1
When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data
Answer:
The linear function would be:
C = 10t + 2
where C is the cost and t is time in months
Step-by-step explanation:
Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads
Answer:
The equation that models the relationship between Z and N is N = 56 Z
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour
→ Find his rate per hour by dividing the number of pages by its time
∴ His rate of reading = 42 ÷ [tex]\frac{3}{4}[/tex] = 42 × [tex]\frac{4}{3}[/tex] = 56 pages per hour
∵ His rate = 56 pages/hour
∴ m = 56
∵ Z represents the number of hours Mark reads
→ That means replace x in the form of the equation above with Z
∵ N represents the number of pages of the book he reads
→ That means replace y in the form of the equation above with N
∴ N = 56 Z + b
∵ There is no initial amount of reading
∴ b = 0
∴ N = 56 Z
The equation that models the relationship between Z and N is N = 56 Z
Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.
Answer and explanation:
Please find answer and explanation attached
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answer:
a. 15 students
b. 32 students
c. 35 students
d. 34 students
e. 55 students
f. 67 students
Step-by-step explanation:
See attachment for complete question
Solving (a): Tricycle, Motorcycle and Car
This is the intersection of Tricycle, Motorcycle and Car.
From the attached Venn diagram, there are 15 students in this category
Solving (b): Tricycle and Motorcycle.
This is the intersection of Tricycle and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]
[tex]All = 15[/tex]
[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]
[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]
[tex]Tricycle\ and\ Motorcycle = 32[/tex]
Solving (c): Car and Motorcycle.
This is the intersection of Car and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Motorcycle\ only = 20[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]
[tex]Car\ and\ Motorcycle = 15 + 20[/tex]
[tex]Car\ and\ Motorcycle = 35[/tex]
Solving (d): Car and Tricycle.
This is the intersection of Car and Tricycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Tricycle\ only = 19[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]
[tex]Car\ and\ Tricycle = 15 + 19[/tex]
[tex]Car\ and\ Tricycle = 34[/tex]
Solving (e): Car only
From the attached Venn diagram, we observe the following data:
[tex]Car\ only = 55[/tex]
Solving (e): Motorcycle only
From the attached Venn diagram, we observe the following data:
[tex]Motorcycle\ only = 67[/tex]
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
8x - 9 = - 2x + 11
Answer:
10/3
3.333333
3 1/3
Step-by-step explanation:
hope this helps
6÷2+3×100000000000000000000000000000000000000000
Answer:
3E41
Step-by-step explanation:
hope it helps
Answer:
3e+40
Step-by-step explanation:
pls give me brainliest
Y=3x+10 slope and y intercept
Answer:
The slope is 3 and the y-intercept is 10
Step-by-step explanation:
Answer:
Slope: 3
y-intercept: ( 0 , 10)
Step-by-step explanation:
y=mx+b
y=3x+10
Hope this Helps!!!