Answer:
Option B
Step-by-step explanation:
[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]
Hope this helps.
The equation for T will be;
⇒ T = PV/nR
Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.
Option B is true.
What is Linear equation?
When in an equation the highest power of variable is one then its called Linear equation.
Given that;
The equation for the ideal gas law is,
PV = nRT
Where, P, V, and T represent pressure, volume, and temperature,
n represents the number of moles of gas, and R is a constant for the ideal gas.
Now,
Solve the equation for T as;
PV = nRT
Divide both side by 'nR' we fet;
PV/nR = nRT/nR
PV/nR = T
T = PV/nR
Thus, The equation for T will be;
⇒ T = PV/nR
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A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Jorge wants to find the height of the house, help him find it.
The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.
The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
What are the lower and upper bound?
The lower bound is the smallest value that would round up to the estimated value.
The upper bound is the smallest value that would round up to the next estimated value.
Here the number 1000 is rounded to the nearest 100 will be:
The Lower bound will be 950.
The Upper bound will be 1050
Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
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1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.
Probability that it rains and you go over in data tomorrow = 0.0539
Percentage of time it takes to go over your data limit = 49%
Probability that you go over your data limit, P(data) = 49/100
P(data) = 0.49
The chance that it rains tomorrow = 11%
Probability that it rains tomorrow, P(rain) = 11/100
Probability that it rains tomorrow, P(rain) = 0.11
Probability that it rains and you go over your data tomorrow = P(rain) x P(data)
Probability that it rains and you go over in data tomorrow = 0.11 x 0.49
Probability that it rains and you go over in data tomorrow = 0.0539
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Find the value of x in each case.
Answer:
Step-by-step explanation:
To find x
Â= 180⁰-8x (angle on a straight line)
B= 180- 9x (angle on a straight line)
:. G + Â + B = 180⁰ ( sum of angles in a triangle)
5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰
5x -8x - 9x + 180⁰ +180⁰ = 180⁰
-12x + 360⁰ = 180⁰
360⁰ - 180⁰ = 12x
180⁰ = 12x ( divide both sides by 12)
x = 15⁰
Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answer:
$3
Step-by-step explanation:
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Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F
9514 1404 393
Answer:
B. 15/8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
The side opposite the 62° angle is marked 15.
The side adjacent the 62° angle is marked 8.
Then the tangent ratio for 62° is ...
tan(62°) = 15/8
Substitution method
-3x + 3y = 4
-x + y = 3
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
Describe the slope of the line. Then find the slope. What’s the slope?
Hello there!
We are given two points.
We use the following formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{0-(-1)}[/tex]
[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]
So the slope is -3. Hope it helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Answer:
[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]
[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]
[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=-3[/tex]
_________________________________
the given number line shows the solutions to which inequality
A)x + 4 ≥ 5
B)x – 2 > 7
C)x – 3 ≥ 6
D)x – 1 ≥ 8
—————————-
C) x – 3 ≥ 6
Solving this inequality by adding 3 on both sides, we get
x ≥ 9 which is shown on the number line
the equation of a line with slope2/5 and y-intercept 1 is
Step-by-step explanation:
y=(2/5)x + 1
that is the answer
Answer:
y=2/5x+1
Step-by-step explanation:
y=mx+b
m=2/5
b=1
Hope this helps :)
Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7
h(8)-2*f(3)
This is called question #18 on the worksheet images.
Answer:
Step-by-step explanation:
h(8) = -8 - 7
h(8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
h(8) - 2 f(3) = -15 - 2(4) = -23
The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Functions f(x) = -x²+8x-11 and
h(x)=-x-7
h(-8) = -8 - 7
h(-8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
= h(8) - 2 f(3)
= -15 - 2(4)
= -23
Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
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geometry homework help
Answer:
To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128
m<1= 128
For the first one (i think)
Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.
66+84+x=180
You’d get x=30
Now we have 30 as angle 1.
angle 3 and 84 degrees are supplementary so we can just do
84+y=180 which in this case is 96 so angle 3 is 96
Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing
96+43+n=180
in this case n is angle 2 and the measure of angle 2 is 41 degrees.
Final answers:
m<1=30
m<2= 41
m<3= 96
Answer:
Step-by-step explanation:
Question 2
1 = 76+52=128
=180-128
=5266+84 = 150 180-150=30
2. 96+43=139 180-139=
=41
3.180-84
=96
Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.
Answer:
b
Step-by-step explanation:
Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.
Count the multiples of 12:
⌊1000/12⌋ = 83
(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)
These are the integers
{12, 24, 36, 48, …, 996}
Count the multiples of 15:
⌊1000/15⌋ = 66
These are
{15, 30, 45, 60, …, 990}
Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:
⌊1000/60⌋ = 16
These are
{60, 120, 180, 240, …, 960}
Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:
83 + 66 - 2•16 = 117
Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.
How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?
Answer:
30x t 78
Step-by-step explanation:
If 10 candy cost $35. How much candy can I buy with $20
Answer:
6 candies
Step-by-step explanation:
(find unit rate, cost / quantity)
35/10 = 3.5
20/3.5 = = 5.7142857142857
candies cannot be in decimal so you must round to the nearest whole
A family buys a studio apartment for $140,000. They pay a down payment of $28,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
$their down payment is $280 the percentage of the purchase is $2.8
Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?
his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)
ok done. Thank to me :>
Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran
What is Speed?Speed is the time rate at which an object is moving along a path.
Speed =Distance/Time
His average speed as he ran:
V = S/t
Hundred by twelve.
= 100/12
Divide numerator and denominator by four.
Twenty five by three.
Average speed= 25/3 (m/s)
Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran
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The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?
The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:
15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X
Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
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help plz I have an f in the class
show that √20 = 2√5
hence , 2√5 = √20
what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST
Answer:
1/2
Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.
Answer:
12 / 12
Step-by-step explanation:
LCM of 12 and 2 = 12
1 / 2
= ( 1 / 2 ) x ( 6 / 6 )
= ( 1 x 6 ) / ( 2 x 6 )
= 6 / 12
6 / 12 + 1 / 2
= 6 / 12 + 6 / 12
= ( 6 + 6 ) / 12
= 12 / 12
sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.
Answer:
Chips= $20 Pretzel=$15
Step-by-step explanation:
Sara bought 2 Chips + 3 Pretzels = $85
(Extra) 1 Chips + 2 Pretzels = $50
Pretzels are twice as much as chips so above ^^ Can be expressed
as Pretzel (15) + Pretzel (15) + Chips(20) = $50
Now lets go back to the first line Putting in the new prices
Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85
help me answer this 100 POINTS!!!!!
Answer:
1 C
2 A
Step-by-step explanation:
1 C No it cannot be defined because A and B are not congruent
2 A Yes, the lines will remain parallel
PS. It's only 50 points because two answers are allowed. Each answerer gets half.
Here is another one if anyone can help me out
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.