Apply combine gas law
[tex]\\ \rm\dashrightarrow \dfrac{P1V1}{T1}=\dfrac{P2V2}{T2}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{10(341)}{310}=\dfrac{15V2}{120}[/tex]
[tex]\\ \rm\dashrightarrow 11=\dfrac{V2}{8}[/tex]
[tex]\\ \rm\dashrightarrow V2=88in^3[/tex]
Answer:
88 in³
Step-by-step explanation:
we are given that the volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P.
Condition-1:
The volume V of a given mass of gas varies directly as the temperature T , thus
[tex]V\propto T\\\implies V=kT[/tex]
Condition-1:
The volume V of a given mass of gas varies inversely as the pressure P, therefore,
[tex]V\propto 1/P\\\implies V=k\cdot 1/P[/tex]
combining 1 and 2 yields
[tex]V\propto k\cdot T/P[/tex]
Case-1:
V = 341.0 in³T = 310°P=10 lb/in²To find:
kFinding the constant of proportionality
[tex]341= k\cdot 310/10\\\implies k=341\times 10/310 \\ \implies \boxed{k=11}[/tex]
Case-1:
To find:
Vwhen:
T = 120°P=15 lb/in²k=11Finding the volume:
[tex]V= 11\times 120/15\\\implies V=11\times 8 \\ \implies \boxed{V=88}[/tex]
A rectangle measures 4 1/2 inches by 2 3/4 inches what is its area?
Answer:
12.375
Step-by-step explanation:
Length x Width
L x W
4.5*2.75 = 12.375
Answer:
12 3/8
Step-by-step explanation:
4 1/2 x 2 3/4 = 99/8
99/8 simplified is 12 3/8
The expression 40x2 – 65x 50 represents the sum of the interior angles of a regular pentagon in degrees. if the interior angles of the pentagon are equal, which expression represents the measure of two angles? 2x2(20 – 32x 25x2) 2(8x2 – 13x 10) 5x2(8x2 – 13x 10) 5(3x2 – 8x 5)
The expression which represents the measure of two interior angles of the provided regular pentagon is 16x²-26x+20.
What is regular Pentagon?Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
The expression, which angles represent the sum of the interior angles of a regular pentagon in degrees, is,
[tex]40x^2 - 65x +50[/tex]
The interior angles of the given pentagon are equal. A Pentagon has 5 sides. Thus, the measure of angle of interior angle of the regular pentagon is,
[tex]m\angle n=\dfrac{40x^2 - 65x +50}{5}\\m\angle n=\dfrac{5(8x^2 - 13x +10)}{5}\\m\angle n=8x^2-13x+10[/tex]
The measure of two angles is,
[tex]2m\angle n=2(8x^2-13x+10)\\2m\angle n=16x^2-26x+20[/tex]
Hence, the expression which represents the measure of two interior angles of the provided regular pentagon is 16x²-26x+20.
Learn more about the regular pentagon here;
https://brainly.com/question/1592456
According to this box plot of test scores, the middle 50% of the class scored between what two scores?
options:
96-100
73-96
60-73
85-90
Answer:
I guess it's d not sure tho
Answer:
Im guessing 85-90
Step-by-step explanation:
IT COULD BE WRONG
Vic's favorite cookie recipe uses 250250250 grams of flour for every 170170170 grams of butter. Imani made cookies using 750750750 grams of flour for every 630630630 grams of butter. What will Vic think of the amount of butter in Imani's cookies
Answer:
Vic would likely say that Imani is using too much butter. Vic is also using too much butter in their recipe, that much butter in any recipe can be lethal.
__________________________________________________________
Questions related to the topic? Ask me in the comments box.
Answer:
Vic has too much butter!!!
Step-by-step explanation:
Simplify this equation...
Answer: 3) [tex]\frac{x+3}{x}[/tex]
Step-by-step explanation:
Start by factoring the numerator by grouping
[tex]\frac{x^3+2x^2-9x-18}{x^3-x^2-6x} \\\frac{(x^3+2x^2)+(-9x-18)}{x^3-x^2-6x} \\\frac{x^2(x+2)-9(x+2)}{x^3-x^2-6x} \\\frac{(x^2-9)(x+2)}{x^3-x^2-6x} \\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}[/tex]
Now factor the denominator
[tex]\\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}\\ \\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\[/tex]
Factor the trinomials by finding two numbers that add to get -1 and multiply to get -6. In this case the numbers are -3 and 2
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\\\\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\[/tex]
Cancel out the terms that are both in the numerator and denominator. In this case they are (x-3) and (x+2)
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\\\\\\frac{(x+3)}{x}\\[/tex]
Chen is a lorry driver.
He earns a bonus if he drives at least 2.8 kilometres per litre of fuel.
The figures show some information about Chen's last journey.
Journey time 4.5 hours
Average speed 61 km/h
Amount of fuel used 96 litres
Work out whether Chen earned a bonus for this journey.
Answer:
Yes, Chen earned a bonus for the journey.
Step-by-step explanation:
1 hour = 61 km
4.5 hrs = 61 * 4.5 = 274.5 km
Now,
96 litres = 274.5 km
1 litre = 274.5/96 km
1 litre = 2.859 = 2.9 km (approximately)
So, he drived more than 2.8 kilometers per litre of fuel.
Answer:
Yes
Step-by-step explanation:
Calculating distance travelled by Chen
Journey time x Average speed4.5 hours x 61 km/h274.5 kmCalculating distance covered per litre of fuel
Distance covered / Amount of fuel used274.5 / 962.86 km/litreThe requirement was 2.8 km/litreTherefore, Chen has earned a bonus for this journeySolve the inequality. 2(4 2x)≥5x 5 x≤−2 x≥−2 x≤3 x≥3
Answer:
x > 1, x5 < - 2/5
Step-by-step explanation:
(30 Points) 1. State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a (first picture). Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
2. ⦁ Keeping all other criteria the same, add a child to the family you used in part a to determine the monthly expenses. How does an additional child impact the family budget and hourly wage (second picture)? Which category was least affected by this change? Explain why you think there was little impact to this category.
The minimum monthly income will be $6165 and the hourly wage to cover the expenses will be $8.5625.
How to calculate the income?From the information given, the minimum monthly income will be $6165 since that's needed to cover the expense.
Also, the hourly income will be:
= 6165/(24 × 30)
= 6165/720
= 8.5625
The hourly income will be $8.5625.
Learn more about income on:
https://brainly.com/question/25745683
The figure is a parallelogram. Find the missing measures.
G is the center of the parallelogram, and the midpoint of both diagonals.
If CG = 7, then GE must also be 7.
CE = CG + GE = 7 + 7 = 14
CE = 14
If FD = 22, then FG must be half of 22, which is 11.
Hope this helps!
The side lengths of △JKL are 60 cm, 80 cm, and 100 cm.
Which formula can be used to show that △JKL is a right triangle?
60^2+1002=80260 squared plus 100 squared is equal to 80 squared
60^2+802=100260 squared plus 80 squared is equal to 100 squared
60^2−802=100260 squared minus 80 squared is equal to 100 squared
80^2−602=100280 squared minus 60 squared is equal to 100 squared
Answer:
2nd option
Step-by-step explanation:
using the converse of Pyhagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 100 , then 100² = 10000
60² + 80² = 3600 + 6400 = 10000
then
60² + 80² = 100²
thus the triangle is right
Two gears are in mesh. The first gear is rotating at 60 rpm and has 23 teeth. The second gear is rotating at 5 rpm. How many teeth does the second gear have
The second gear has approximately 2 teeth.
To find the number of teeth on the second gear, we can use the concept of gear ratios. The gear ratio is the ratio of the number of teeth on the first gear to the number of teeth on the second gear. It is equal to the ratio of their rotational speeds.
Gear Ratio = (Number of Teeth on First Gear) / (Number of Teeth on Second Gear)
Given that the first gear is rotating at 60 rpm and has 23 teeth, and the second gear is rotating at 5 rpm, we can set up the gear ratio equation:
60 rpm (First Gear) / 5 rpm (Second Gear) = 23 teeth (First Gear) / X teeth (Second Gear)
Now, let's solve for X (the number of teeth on the second gear):
X = (23 teeth × 5 rpm) / 60 rpm
X = 115 teeth / 60 rpm
X ≈ 1.92 teeth
Since you cannot have a fraction of a tooth, you would generally round up to the nearest whole number.
Thus, the second gear has approximately 2 teeth. However, it's important to note that it's not practical to have a gear with only 2 teeth, as it wouldn't effectively mesh with the first gear.
In real-world applications, gears typically have a higher number of teeth for smooth and efficient operation. So, in practice, the second gear would likely have a different, more practical number of teeth.
Learn more about Gear ratio click;
https://brainly.com/question/33934916
#SPJ4
Your friend uses the percent equation to answer the question. What number is 35% of 20?
Is your friend correct?
Answer:
The friend is correct.
Step-by-step explanation:
[tex]\frac{35}{100} =\frac{x}{20}[/tex]
cross multiply:
700 = 100x
700/100 = 100x/100
7 = x
Your friend is correct. The method they used to solve is also a valid way of solving.
hope this helps!
Steve noticed that there were 72 lights on and 78 lights turned off.
What percent of the lights are on?
Answer:
48% of the lights are on.
Step-by-step explanation:
First, gather the total amount of lights by adding the on and off lights.
72 + 78 = 150
There are 150 total lights.
Now set up a fraction to determine the percentage.
lights on/total lights = 72/150
Divide 72 by 150.
72/150 = 0.48
Multiply this by 100 to get the percent.
0.48 * 100 = 48%
48 percent of the lights are on.
Answer:
48 percent
Step-by-step explanation:
Your welcome!
What is the value of x?
Enter your answer in the box.
x =
Answer:
39°
Step-by-step explanation:
To answer this question it's important to remember that all triangles have 3 angles which sum to 180. This means that we can set up an equation to find the missing angle
Create the equation
[tex]39+102+x=180[/tex]Combine like terms
[tex]141+x=180[/tex]Subtract 141 from both sides
[tex]x=39[/tex]This means that the missing angle is 39 degrees. Since two of the angles are equal to 39, this also means that this triangle is isosceles.
Can s0mbody h3Lp me PLEASE!!!
HELP WANTED!
cuz i forgot how to do this
Answer:
Step-by-step explanation:
Remark
Just fill in the formula. If you don't have a formula sheet, it would be a good idea to make one.
Formula
C = 2*pi * r
Givens
pi = 3.14
r = 10 inches
C = ?
Solution
C = 2*pi * r Put the givens into the formula
C = 2* 3.14 * 10 Combine
C = 6.28 * 10
C = 62.8 inches.
Answer
C = 62.8 inches.
The numbers 1-10 are placed in a bag. What is the probability of the number being between 2-7? PLEASE HELP, I will give BRAINLIEST to anyone that can answer me quickly. Professional or not, I seriously need help. Im giving 37 points.
The probability of picking a number beween 2 and 7 from the numbers placed in the bag is 2/5.
What is the probability?
Probability is a statistial measure used to determine the chances that a given event would happen. If the event would happen with certainity, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.
The probability of picking a number beween 2 and 7 = numbers between 2 and 7 / total numbers in the bag
4/10 = 2/5
To learn more about probability, please check: https://brainly.com/question/13234031
(100 points) ASAP need help with khan academy practice
Answer:
125,
Step-by-step explanation:
the answer would be fifteen because 5 to the third power is 125.
Simplify. 3(1 + 5x + y)
Answer:
Your simplified expression would be 15x + 3y + 3.
Step-by-step explanation:
Rearrange termsDistributeSolution = 15x + 3y + 3.
please hepl check screenshot
Answer:
A) [tex]3x+1[/tex]
Step-by-step explanation:
[tex]\dfrac{6x^2+2x}{2x}[/tex]
Factor the numerator by factoring out the common term [tex]2x[/tex]:
[tex]\implies \dfrac{2x(3x+1)}{2x}[/tex]
Cancel the common factor [tex]2x[/tex]:
[tex]\implies 3x+1[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6x^2+2x}{2x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2x(3x+1)}{2x}[/tex]
Cancel 2x[tex]\\ \rm\Rrightarrow 3x+1[/tex]
Option A
Capital Credit has offered Jackson a credit card loan of $5000 at an interest rate of
13.9% with a monthly payment of $170.65. If he was repay this loan in 3 years how much intrest will he pay?
Answer:
2000
Step-by-step explanation:
solve for x
3 = x over 7
Answer:
21
Step-by-step explanation:
3= x/7
3/1=x/7
x=21
I hope this was helpful
Answer:
21
Step-by-step explanation:
3=x/7
x=3×7
x=21
PLEASE HELP VERY URGENT
Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.
The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.
A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2
(if u have trouble reading the text look at the attached photo for the question)
Answer:
√(a² + b²) is the answer as
Step-by-step explanation:
both ABC AND DEF are right triangles...
So Pythagoras theorem will work here
please help i will give brainliest
I personally think that the answer here would be C, all the birds in the forest.
The first 25 birds that were recorded are not the population.
The species with the greatest number is not the population. It is the most thriving species.
The species that are native to the area don't make up the whole population. They make up part of it, not the whole of it.
I hope this makes sense and it helps.
-Toremi
When finding an indefinite integral, your answer must include.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.
What must an answer about a indefinite integral of a function include?
A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.
[tex]\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C[/tex] (1)
Where C is the integration constant.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. [tex]\blacksquare[/tex]
To learn more on integrals, we kindly invite to check this verified question: https://brainly.com/question/18125359
Evaluate c/d if c= 4.75 and d=1 1/4 write your ancwer in simplest form. (Example3)
Hey there!
c/d
= 4.75 / 1 1/4
= 4.75 / 5/4
= 4.75 / 1.25
= 19/5
≈ 3 4/5
≈ 3.8
Therefore, your answers are:
• 19/5
• 3 4/5
• 3.8
(EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which expressions are equivalent to ? Choose all the correct answers. Show your work in arriving at your answers.
Answer:A D but not sure for b
Step-by-step explanation:
Answer answer questions answer
Answer:
-16
Step-by-step explanation:
All you have to do is divide 4 from both sides, you do this so you can get W by itself
4w= -64
/4 /4
w= -16
Answer: the answer is option b
Step-by-step explanation:
4 times -16 is -64
Which dog pens will take up the same area?
A sandwich shop sells a foot-long grinder for $8 and a calzone for $6. Which equation shows the relationship between the amount of each type of product sold and the total sales, in dollars?
A. 14(x + y) = z; x represents calzones sold; y represents grinders sold; z represents total sales
В. 6x + 8y = Z, x represents calzones sold, y represents grinders sold: z represents total sales
C. 14(x + y) = z; x represents grinders sold, y represents calzones sold, z represents total sales
D. 6x + 8y = z; x represents grinders sold; y represents calzones sold: z represents total sales.
Answer:
B. 6x + 8y = z , x represents the calzones sold; y represents grinders sold; z represents total sales.
A small box contains 30 packets of cheese and onion crisps and 20 packets of salt and vinegar crisps
A large box contains 50 packets of cheese and onion crisps and 30 packets of salt and vinegar crisps
A packet of crisps in chosen at random
From which box are you more likely to choose a packet of salt and vinegar crisps
Answer: small box
Step-by-step explanation:
Large box probability is 30/80= 3/8
Small box = 20/50 =2/5
Which is bigger 3/8 or 2/5
15/40 or 16/40