Answer:
P_he = 562.5 mmHg
P_ne = 1068.75 mmHg
P_ar = 618.75 mmHg
Step-by-step explanation:
Formula for partial pressure is;
Partial pressure = mole fraction × total pressure
Mole fraction of Helium(He); x_he= 1/(1 + 1.9 + 1.1) = 1/4 = 0.25
Mole fraction of Neon(Ne); x_ne = 1.9/(1 + 1.9 + 1.1) = 1.9/4 = 0.475
Mole fraction of argon; x_ar = 1.1/(1 + 1.9 + 1.1) = 1.1/4 = 0.275
Thus;
Partial pressure of He;
P_he = 0.25 × 2250
P_he = 562.5 mmHg
Partial pressure of Ne;
P_ne = 0.475 × 2250
P_ne = 1068.75 mmHg
Partial pressure of Ar;
P_ar = 0.275 × 2250
P_ar = 618.75 mmHg
Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and
12 pounds of almonds cost $90. Which equation gives the total cost y of
x pounds of almonds?
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3/1
Step-by-step explanation:
If you cant tell I hate percents :)
A group of friends went to lunch. Click on all the correct answers below according to the Letters A, B, and C.
A Their original bill cost $50.00, but they had a coupon for 20% off their meal. Find the discounted price (before tax and tip).
B A sales tax of 7% was added. What was the total amount including sales tax?
C The group chose to tip 20%. What is the total amount that their bill cost including tax and tip?
Assuming the following two triangles are congruent, solve for x if GR = 6x + 8 and QH = 9x - 1.
Answer: x = 3
Step-by-step explanation:
if two triangles are congruent, that means thy have the same sides and angles.
6x + 8 = 9x - 1
-6x +1. -6x +1
9 = 3x
divide both sides by 3 to get x by itself
x = 3
What percentage of a dollar is the value of 5 quarters and 1 dime
Answer:
135%
Step-by-step explanation:
The quarters percentage is 125% and the dime is 10% and that equals 135%
What is the value of x.
x=25.5
Step-by-step explanation:
6x-3+3x+6+5x=360
14x+3=360
14x=360-3
x=357/14
x=25.5
Solve for x.
7(1x - 3) = 4(x + 5)
Answer:
x = 41/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
7(1x - 3) = 4(x + 5)
Step 2: Solve for x
Simplify: 7(x - 3) = 4(x + 5)Distribute: 7x - 21 = 4x + 20Subtract 4x on both sides: 3x - 21 = 20Add 21 on both sides: 3x = 41Divide 3 on both sides: x = 41/3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)Multiply: 7(41/3 - 3) = 4(41/3 + 5)Subtract/Add: 7(32/3) = 4(56/3)Multiply: 224/3 = 224/3Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
five times the differce between twice a number and 4 is -10
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Translate
"Five" = 5
"times" is multiplication
"difference" is subtraction
"twice" means 2 times something
"a number" = x
"is" means equal
"-10" = -10
Step 2: Set up equation
5(2x - 4) = -10
Step 3: Solve for x
Distribute 5: 10x - 20 = -10Isolate x term: 10x = 10Isolate x: x = 1Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
The required correct answer is (a) x-intercept is (-8,0) and the y-intercept is (0,8).
What is the intercept in the equation?In the context of a linear equation, an intercept is a point where the graph of the equation crosses or intersects with one of the axes in a coordinate system. There are two types of intercepts:
x-intercept: the point where the graph crosses the x-axis. It occurs when y = 0. In other words, the x-intercept is the value of x when y = 0 in the equation.y-intercept: the point where the graph crosses the y-axis. It occurs when x = 0. In other words, the y-intercept is the value of y when x = 0 in the equation.Here,
To find the x-intercept, we set y = 0 in the equation y = x + 8 and solve for x:
0 = x + 8
x = -8
Therefore, the x-intercept is (-8, 0).
To find the y-intercept, we set x = 0 in the equation y = x + 8 and solve for y:
y = 0 + 8
y = 8
Therefore, the y-intercept is (0, 8).
So the correct answer is (a) the x-intercept is (-8,0) and the y-intercept is (0,8).
Learn more about intercept here:
https://brainly.com/question/3605446
#SPJ7
(-3 + 4² + 2 – 5)
(- 2)
Answer:
-20
Step-by-step explanation:
i think is -20 wait for someone else to answer if you really need it
Answer:
(-3+4^2+2-5)(-2)
(13+2-5)(-2)
(13+2)
(15-5)
(10)(-2)
-20
(y + 2)(y^2 - 2y + 3)
Answer:
y^3 - y + 6
Step-by-step explanation:
I believe this is right
A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, what is the booking
fee?
Answer:
2.20
Step-by-step explanation:
2.20
Original price =282$ %Markdown =10%
Answer:
Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.
Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:
282 x 0.10 = X
28.2 = X
Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).
The altitudes of a triangle _________ meet inside the triangle. *
A. Always
B. Sometimes
C. Never
Answer:
sometimes
Step-by-step explanation:
The three altitudes in an acute triangle all lie in the interior of the triangle and intersect inside the triangle. Two of the three altitudes in a right triangle are the legs of the triangle.
Find the quotient:
–37.44 ÷ 4.8
Check reasonableness by estimating:
–37.44 Almost-equals
4.8 Almost-equals
Estimated quotient:
Answer:
heres the answer
Step-by-step explanation:
Sam is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges an initial fee of $ 20 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $47.50 and an additional 10 cents for every mile driven.
For what mileages will Company A charge no more than Company B?
Write your answer as an inequality, using m for the number of miles driven.
>
OSO
D20
Х
$
?
Answer:
m
Step-by-step explanation:
Due to recent demand,Target is raising the price of a video game by 24%. If the game was previously sold for $25, what is the new price
Answer:
25*.24=6
25+6=31
Step-by-step explanation:
NEW AMONG US CODE
YHFZNF
Answer:
ok
Step-by-step explanation:
Suus
But Ok
[Sus music]
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
A store having on almonds and jelly beans. For 2 pounds of almonds and 12 pounds of jelly beans, the total cost is $45 For 5 pounds of almonds 3 pounds of jelly beans , the total cost is $18. Find the cost for each pound of almonds and each pound of jelly beans.
Answer:
3.50 per almonds
1.50 jelly beans
Step-by-step explanation:
About 20% of the kids will attend an overnight summer camp, will attend day camp, and 0.22 will attend no summer camp at all. Which group of kids is
the greatest?
Ovemight Camp
O Day Camp
No Camp
How do you do this question?
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Help me out please!!! no work needed just give the answer
*Brainliest if correct*
Answer:
150 degrees
Step-by-step explanation:
(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)
The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.
We have 3 angles: y = 100, 50, and 60.
360 - (100+50+60)
= 360 - 210
= 150
How do you do this question?
Answer:
k=±6/7
Step-by-step explanation:
At part (b)
1 - 0
2- Asin(kt) +Acos(kt)
3- 36A
4- 36-49k^2
5- 0
6- 36/49
Brianna needs to contact members of the softball league. She calls 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening?
Answer:
...
Step-by-step explanation:
Answer:
64 people
Step-by-step explanation:
in the morning, 4 people are called. Those 4 people call 4 more people, which brings it to 16 people called. Those 16 people then each call 4 others, which is 16 x 4. Giving you the answer of 64 people for the evening.
FYI, if the question asked how many people were called in total, you would add the 4 people from the morning, 16 people from the afternoon, and 64 people in the evening to get a total of 84 people called.
Hope this helps!
A 90% confidence interval for the mean height of a population is This result is based on a sample of size 169. Construct a 99%confidence interval.
This question is incomplete, the complete question is;
A 90% confidence interval for the mean height of a population is 65.7 < μ < 67.3
This result is based on a sample of size 169.
Construct a 99%confidence interval.
Answer: at 99%, confidence interval is [ 65.2, 67.8 ]
Step-by-step explanation:
Given that;
confidence level = 90%
∝ = 1 - 90% = 1 - 0.9 = 0.1
the mean height of a population is 65.7 < μ < 67.3
so
x" - t_∝/2, n-1{standard Error] = 65.7 ----let this be equation 1
x" + t_∝/2, n-1{standard Error] = 67.3 -----let this be equation 2
where t∝/2, n-1 = t_0.1/2, 169 - 1 = t_0.05, 168 = 1.654 (t table)
now we add equation one and equation two
2x" = 65.7 + 67.3 = 133
x" = 66.5
next we subtract equation one from equation two
(x" + t_∝/2, n-1{standard Error]) - (x" - t_∝/2, n-1{standard Error])
= 67.3 - 65.7 = 1.6
so
2 × t_∝/2,n-1 × standard Error = 1.6
standard Error = 1.6 / (2 × t_∝/2,n-1)
we substitute
Standard Error = 1.6 / ( 2 × 1.654 ) = 1.6 / 3.308 = 0.48367
Now 99% confidence interval for μ is given as;
∝ = 1 - 0.99 = 0.01
x" ± t_∝/2, n-1{standard Error]
(x" ± t_0.01/2, 169-1 [standard Error])
where t_0.005, 168 = 2.6054 (t table)
now for Lower Bound: (x" - t_0.005, 168 [standard Error])
Lower Bound : ( 66.5 - (2.6054 × 0.48367))
= 66.5 - 1.26015 = 65.2398
Upper Bound : ( 66.5 + (2.6054 × 0.48367))
= 66.5 + 1.26015 = 67.7602
Therefore at 99%, confidence interval is [ 65.2, 67.8 ]
In the 2nd week of the year Carrie had $700 in her savings account. At 5 weeks she had $325. What is the equation that represents this situation?
Answer:
y = 125x + 75
Step-by-step explanation:
Let x represents the week and
Let y represent the balance
When x = 2, y = 325.
This means
(x1,y1) = (2,325)
When x = 5, y = 700
This means
(x2,y2) = (5,700)
Required
Determine the equation
First, we need to solve for m, the slope
m = ∆y/∆x
i.e.
m = (y2 - y1)/(x2 - x1)
Substitute values for x and y
m = (700 - 325)/(5 - 2)
m = 375/3
m = 125
Next, we calculate the equation in slope intercept form using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 325 = 125(x - 2)
y - 325 = 125x - 250
Collect like terms
y = 125x - 250 + 325
y = 125x + 75
Hence, the equation is:
y = 125x + 75
Answer: x=-125+950
Step-by-step explanation:
The value went from 700 to 325 in 3 weeks
700-325= 375 /3 =125
0=950
1=825
2=700
3=575
4=450
5=325
You move right 7 units. You end at (8, 7). Where did you start?
Answer:
y=mx+b 58
Step-by-step explanation:
PLZ HELP! 1ST GETS BRAINILIEST!
What if Shana then considers a different brand of orange juice. She picks up a 25-ounce bottle that costs $4.50.
Which orange juice is the better price--the 16-ounce bottle or the 25-ounce bottle?
Answer:
i think the 25 ounce bottle
Step-by-step explanation: