Answer:
[tex]2.5\; \rm m^3[/tex].
Step-by-step explanation:
Let [tex]V_1[/tex] and [tex]P_1[/tex] denote the volume and pressure of this gas before the change. Let [tex]V_2[/tex] and [tex]P_2[/tex]denote the pressure of this gas after the change.
The ratio between the volume of this gas before and after the change would thus be [tex]\displaystyle \frac{V_1}{V_2}[/tex].
The ratio between the pressure of this gas before and after this change would be [tex]\displaystyle \frac{P_1}{P_2}[/tex].
Because the volume of a given mass of (ideal) gas varies inversely with pressure, these two ratios should be reciprocal of each other. That is:
[tex]\displaystyle \frac{V_1}{V_2} = \frac{1}{\displaystyle \displaystyle \left(\frac{P_1}{P_2}\right)}[/tex].
In other words:
[tex]\displaystyle \frac{V_1}{V_2} = \frac{P_2}{P_1}[/tex].
Rearrange and solve for [tex]V_2[/tex], the volume of this gas after the change:
[tex]\displaystyle V_1 = V_2\cdot \left(\frac{P_2}{P_1}\right)[/tex].
[tex]V_2 = \displaystyle V_1 \cdot \left(\frac{P_1}{P_2}\right)[/tex].
From the question:
Volume of this gas before the change: [tex]V_1 = 2\; \rm m^3[/tex].Pressure of this gas before the change: [tex]P_1 = 500\; \rm N \cdot m^{-2}[/tex].Pressure of this gas after the change: [tex]P_2 = 400\; \rm N \cdot m^{-2}[/tex].Solve for [tex]V_2[/tex]:
[tex]\begin{aligned} V_2 &= V_1 \cdot \left(\frac{P_1}{P_2}\right) \\ &= 2\; \rm m^3 \times \frac{500\; \rm N \cdot m^{-2}}{400\; \rm N \cdot m^{-2}} = 2.5\; \rm m^3\end{aligned}[/tex].
pwease can i have help pwease if two answer I will give brainliest
1/3 of a number T is less than or equal to five
Answer: x ≤ 15
Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x ≤ 15.
Hope this helps!
Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12
Answer:
If so then this table is linear
Step-by-step explanation:
when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear
A box has length 5 feet, width 8 feet and height 3 inches. Find volume in cubic feet and in cubic inches
Answer:
120 cubic feet
Step-by-step explanation:
The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.
Solve: 39 - 7x = -4(7x + 7) + 4
Ramona believes that plants exposed to radio waves will become extra tall. She decides to plant two
seeds in 20 separate pots. She placed 10 pots near a radio for 5 days and the other 10 pots in a room
without a radio. Each plant had the same size pot and the same amount of soil and water She
compared the height of the exposed plants to those not exposed. The average height of the plants
exposed to the radio waves was 6.5 cm. The average height of the plants unexposed was 70 cm
Answer:I have this same problem but if you’re asking for the independent and other questions here’s the answer. Independent variable is the radio since that’s the only change happening to the 10 other pots. Dependent variable is the height of the plant since that’s what Ramona wants to see change as the output. Control group is the 5 pots without the radio i’m pretty sure. The constants are the amount of seeds, pots, soil, and water.
Step-by-step explanation:
(a). Solve for x if 133x = 43 seven
(). Given that fix - 2x2 - 8x + 5 and g: x - x -2
(i). Calculate f(-3)
(ii). Find the values of x, such that f(x) = g(x)
Step-by-step explanation:
*Syntax Error*
just consult with your teacher
A carnival ride holds 30 people at a time. In one hour,
220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?
Answer:
7
Step-by-step explanation:
Write thirty eight thousandths as a decimal
Answer:
0.0038
Step-by-step explanation:
The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.
If y= 44 when x=240, what is the value of y when x=84?
Kenya has 2 hours to work a 100 problem math test at what rate must she work in order to finish in 2 hours A. 0.83 B. 1.23 C. 1.41 D. 1.35
Answer:
A 0.83
Step-by-step explanation:
2 Hrs = 120 Minutes
100 : 120 = 0.83 minutes per questions
Kenya must complete 0.83 questions per minute in order to finish the test in two hours.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Kenya has 2 hours to work on a 100 problem math test.
We know, 2 hours is equal to 120 minutes.
Therefore, The rate per minute at which she must complete one question in order to complete it in two hours is,
= (100/120).
= 0.83.
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Jessie enjoys running every day for exercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles. On Wednesday, he ran 2.98 miles. On what day did Jessie run the farthest? *
Answer:
monday
Step-by-step explanation:
Hi can someone pls help me on the last question (#5)
[tex]solution \: (a) \:: [/tex]
[tex] \frac{1}{7} x = 1[/tex]
[tex]x = 7[/tex]
[tex] solution \: (b) \:: \\ x \times \frac{1}{11} = 1[/tex]
[tex]x = 11[/tex]
[tex]solution \: (c) \:: [/tex]
[tex]1 \div \frac{1}{5} = x[/tex]
[tex]x = 5[/tex]
18% of 200 is between which two numbers?
Answer:
35&37
Step-by-step explanation:
Well 18% of 200 is 36 so...
The legth of a rectangle is 15 inches less then twice its width, w. If the perimeter of the rectangle is 96 inches what is the length of a rectangle?
Answer:
length of the rectangle=27"
Step-by-step explanation:
length be = l; width be = b
2b-15= l
perimeter= 2(l+b)
=2(2b-15+b)=96
=2(3b-15) =96
3b-15 .=48
3b=48+15=63
b=21. Therefore l = (2 x 21) - 15=42-15 =27"
Shop Mart bought 47 crates of cereal. In each crate, there are a dozen boxes of cereal. How many boxes of cereal did Shop Mart buy? Answer the question below and remember to label your answer!
Answer:
564 Boxes Of Cereal
Step-by-step explanation:
You take 47 (# of crates), and 12 (# of items in a dozen) and multiply them.. to get 564
Find the constant of proportionality (unit rate) for each set of values.
Price per apple
Answer: 1.99
Step-by-step explanation: It's about time I tell you how this works. So here it says price PER apple. So PER means we divide 7.96/4 to get 1.99. Now you may be like, How do I know that I do 7.96/4? Why not 4/7.96? Well it says PRICE per APPLE. Price being first so we do 7.96 which is the price, divided by 4 which is the apples. Then we just repeat this process if you want to check your work. So 9.95/5, and 11.94/6
Four times a number add to 9 times the number is 65. What is the number?
Answer:
5
Step-by-step explanation:
Answer
Answer = 5
Step-by-step explanation:
amberlouise2
Ambitious
71 answers
3.6K people helped
4 X 5 = 20
9 X 5 = 45
20 + 45 = 65
Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10, complete parts a and b below.a. Does the student organization have enough evidence to refute the college's claim?Determine the null and alternative hypotheses.Upper H 0H0:μ▼Upper H 1H1:μ▼
Answer:
a
The student does have enough evidence to refute the college claim
b
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Step-by-step explanation:
From the question we are told that
The average class size is [tex]\mu = 32[/tex]
The sample size is [tex]n = 40[/tex]
The sample mean is [tex]\= x = 34.8[/tex]
The standard deviation is [tex]\siigma = 99[/tex]
The significance level is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Generally the test statistics is mathematically represented as
[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]
=> [tex]z = 0.1789 [/tex]
Generally the p-value is mathematically represented as
[tex]p- value = P (Z > 0.1789)[/tex]
From the z- table
[tex] P (Z > 0.1789) =0.42901 [/tex]
So
[tex]p- value = 0.42901 [/tex]
So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis
This means that the student does not have enough evidence to refute the college claim
Find the value of x.
(14x – 13)
(8x + 5)
Answer:
x = 3 (I think)
Step-by-step explanation:
14x - 13 = 8x + 5 (I'm assuming the two expressions are equal)
6x - 13 = 5
6x = 18
x = 3
The simplified value of x from the equation is x = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( 14x - 13 ) = ( 8x + 5 )
Subtracting 8x on both sides , we get
( 14x - 8x ) - 13 = 5
6x - 13 = 5
Adding 13 on both sides , we get
6x = 18
Divide by 6 on both sides , we get
x = 18/6
x = 3
Hence , the equation is solved and x = 3
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Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?
Answer:
18= 4+ x
Step-by-step explanation:
A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on
the sales floor. Every month that a shirt doesn't sell, the store reduces the selling price by 25%. After three monthly
markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total
cost to the customer?
Answer:
8.86
Step-by-step explanation:
The final cost to the customer would be:
$8.86
Explanation:
We can find this answer by taking each step individually.
The first step is to determine the cost after the 100% markup.
To get this, we would multiply the original cost by 2.
10*2 = 20.
Now that we have that new cost, we would find the cost after each markdown.
We would get this by taking the cost from the previous month and multiplying by 0.75 (75%), which is how much is left after each markdown of 25%.
First ---> 20*.75 = 15.
Second---> 15*.75 = 11.25.
Third ---> 11.25*.75 = 8.43.
Now that we have the cost of each shirt, we have to find the price along with sales tax.
Since the sales tax is 5%, we need to multiply by the whole cost 100% plus the addition 5% or (1.05).
8.43*1.05= 8.86
what is the quotient in simplest form
12/7÷3
Answer:
5.150214592274678
Step-by-step explanation:
Answer:
12/21
Step-by-step explanation:
12/7 /3 = 12/7 * 1/3
12/7 * 1/3 = 12*1 / 7*3
12*1 / 7*3 = 12/21
Round the product of 645.99 and 0.125 to the nearest tenth?
Answer:
646.0 and 0.1 but you might have to keep the second one the same .125
Step-by-step explanation:
The nearest tenth is the number behind the decimal, and the number in the hundredths place is what you use to see if where to round it. If it is 4 or less keep it the same it it is 4-9 change is up by one.
EX: 1.58 you would round it to 1.6 because the number in the hundredths place is bigger than 4 so you up the number in the tenths place one.
The product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.
What is the round to the nearest tenth of a number?The decimal point is followed by the number that is closest to the tenth, and the hundredth place number is used to determine whether or not to round the number. If it is four or fewer, leave it alone; if it is four to nine, move it up one.
We have to determine the product of 645.99 and 0.125
⇒ 645.99 × 0.125
⇒ 80.74875
Rounded to the nearest tenth, we get
⇒ 80.7
You would diminish the number in the tenth place by one because the number in the hundredth place is less than 5, thus you would round it to 80.7.
Therefore, the product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.
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I don’t know how to do this one.
Answer:
(a) The unit circle is centered at (0,0) with a radius of 1.
(b) The equation of a circle of radius r, with a center located at (0,0):
x²+ y² = r².
(c) (i) P(1,0)
(ii) P(0,1)
(iii) P(-1,0)
(iv) P(0,-1)
Step-by-step explanation:
Part (a)
The unit circle is centered at (0,0). This point is the origin.
The radius of the unit circle is 1
The term "unit" means "one", which describes the radius length.
=========================================================
Part (b)
The equation of the unit circle is x^2+y^2 = 1
The general equation of any circle is (x-h)^2+(y-k)^2 = r^2
In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.
=========================================================
Part (c)
The following four points are on the unit circle
(1,0)(0,1)(-1,0)(0,-1)As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.
For example, if we know x = 1, then...
x^2+y^2 = 1
1^2+y^2 = 1
1+y^2 = 1
y^2 = 1-1
y^2 = 0
y = sqrt(0)
y = 0
Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.
what is 48,020,000 expressed in scientific notation?
A triangle is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the triangle?
A
(x, y) --> (-x + 9, y - 8)
B
(x, y) --> (-x + 9, -y - 8)
C
(x, y) --> (x + 4, y + 6)
D
(x, y) --> (5x - 4, y + 2)
Answer:
Step-by-step explanation:
D
Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2. Find the scale factors for each of the following:
1. From T to S
2. From S to R
3. From R to T
4. From T to R
Answer:
1/2
1/3
6
1/6
Step-by-step explanation:
When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:
1. From T to S, it's the reciprocal of the scale factor (2) so 1/2
2. From S to R, it's the reciprocal of the scale factor (3) so 1/3
3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6
4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6
12x ÷ 4y (if x = -8 and y = 3)
Answer:
- 8
Step-by-step explanation:
Step 1:
12x ÷ 4y Equation
Step 2:
12 ( - 8 ) ÷ 4 ( 3 ) Input x and y
Step 3:
- 96 ÷ 12 Multiply
Answer:
- 8 Divide
Hope This Helps :)
Christian's furniture store buys a desk and chair at a wholesale price of $320.00 If the markup rate at Christian's store
is 40%, what is the total markup in dollars.
$128
Step-by-step explanation:
you can literally just look it up ya know?
