Answer:
Final volume, V2 = 8.57 liters
Step-by-step explanation:
Given the following data;
Initial volume, V1 = 7.7 liters
Initial pressure, P1 = 6.9 atm
Final pressure, P2 = 6.2 atm
To find the new volume V2, we would use Boyles' law.
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 6.9 * 7.7 = 6.2*V_{2} [/tex]
[tex] 53.13 = 6.2V_{2} [/tex]
[tex] V_{2} = \frac {53.13}{6.2}[/tex]
[tex] V_{2} = 8.57 [/tex]
Final volume, V2 = 8.57 liters
Therefore, the new volume is 8.57 liters.
Answer:
just greeting so that the other one can get a brainliest (would be kind if the favor would be returned :D )
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.
9514 1404 393
Answer:
63.7% or 33.35 miles
Step-by-step explanation:
The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.
The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...
y/38 +x/36 = 1
19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount
Then the distance from the origin to the line is ...
d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243
The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:
x² + (26.1243)² = 31²
x² = 31² -(684/√685)² = 190429/685
x ≈ 16.6733
The driving distance for which the transmitter is picked up is twice this, so is ...
2x = 2(16.6733) ≈ 33.3466 . . . miles
The total drive length is also given by the Pythagorean theorem:
drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles
Then the fraction of the drive during which the signal is picked up is ...
fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%
__
The signal is picked up for 33.35 miles, about 63.7% of the drive.
______
The intercept-form equation for a line is ...
x/(x-intercept) +y/(y-intercept) = 1
The distance from (x, y) to line ax+by+c=0 is given by ...
d = |ax+by+c|/√(a²+b²)
The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:
c² = a² +b²
Find the median of the following numbers. 15, 28, 44, 42, 32, 48
Answer:37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
First, sort the data in increasing order.
15, 28, 32, 42, 44, 48
The number of data is even (there are 6 numbers), so there isn't one in the middle. In that situation, you average the middle 2 data (32 and 42).
(32 + 42)/2 = 74/2 = 37
If there IS a middle numbe, just use it.
Help me PLEASEEEEEEEEEEEEE
Answer:
B, C, D.
Step-by-step explanation:
These are all statistical questions since these can be answered by collecting data that vary.
1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?
Answer:
4/5
Step-by-step explanation:
here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5
What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4
Answer:
2x+6=0 x-4=0 2x=-6 x=-3 x=4
Answer:
- 3 and 4
Step-by-step explanation:
pls i need help i’ll give brainliest!
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Answer:
x = 12
Step-by-step explanation:
The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...
(6)(6) = (3)(x)
x = 36/3 = 12 . . . . . divide by the coefficient of x
which sentence is true iready math
please help I don't know how to do
Answer:
9y+7=2y+98
5y=91
y=91\5
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
The transformation of y=f(x) to y=f(2x) is a:
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
14. Which makes the number sentence true?
12 - 3= 7+_
Simplify (3√5 − 5√2 ) (4√5 + 3√2 )
Answer:
=30−11√1
hope it helped!
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%
Answer: the answer should be 10%
Step-by-step explanation:
Answer:
10% is correct!
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?
Answer:
False
Step-by-step explanation:
Precision describes repeatability.
Accuracy describes the closeness of a measurement to the actual value.
So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).
Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.
What is the value of x in the equation 7(x − 2) = 5(x + 4)?
Answer: x= 17 I hope that helps you understand it Goodbye!
Step-by-step explanation:
7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down
1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides
2. 7x=5x+20+14 = 5x+34
3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides
4. 7x-5x=34 So then I do 7x-5x=2x
5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17
So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please
The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
68 - 4 × (6 - 4)4
pls help the answer questions are
16 80 4 or -2
please help with this question i will mark you brainliest!
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.
Please Help! 100 Points to whoever does!
Answer:
cross multiply
(3+2) 10^3==
5*10^3
anybody know the answer to this question? I’m kinda lost
Answer:
A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F
Step-by-step explanation:
A regression model is in the form :
y = mx + c
With m being the slope = rate of change
In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x
The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F
Plz help me well mark brainliest if correct....??????????????...
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?
Answer:
Yes I would
Step-by-step explanation:
You would not have enough test subjects to have an accurate survey.
30
7
0.7
dbksb
FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.
Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.
Answer:
18312.5mm³
Step-by-step explanation:
Given parameters:
Height of cylinder = 18mm
radius = 18mm
Unknown:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
Insert the given parameters and solve;
Volume = 3.14 x 18² x 18
Volume = 18312.5mm³
Answer:
282.6
Step-by-step explanation:
volume= h*(pie*r^2)
3*3=9
9*pie=28.26
10*28.6=282.6
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22
Answer:
[tex]p' = 0.22[/tex]
Step-by-step explanation:
Given
[tex]p = \frac{78}{100}[/tex]
Required
Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles
To do this, we make use of complement rule;
Which states that:
[tex]p + p' = 1[/tex]
Make p' the subject
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - \frac{78}{100}[/tex]
Express fraction as decimal
[tex]p' = 1 - 0.78[/tex]
[tex]p' = 0.22[/tex]
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
can you help me with this one
Answer:
q = 3m
Step-by-step explanation:
We know that segment HF is half of IJ, therefore we can say;
IJ / 2 = HF or q
6 / 2 = HF or q
3 = HF or q
Hope this helps!