Volume is directly proportional to the temperature. The volume of the new balloon is given by: Option B: 200 cm³
What is the relation between volume and temperature for a gas?If the initial volume and temperatures for a gas(assuming behaving ideally) are written as: [tex]V_1[/tex] and [tex]T_1[/tex], and the changed volume and temperatures are [tex]V_2[/tex] and [tex]T_2[/tex], then we have:
[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}[/tex]
For the given case, we are provided that:
Volume of balloon at [tex]T_1 = 60^\circ C[/tex] is [tex]V_1 = 100 \: \rm cm^3[/tex]
Let for temperature [tex]T_2 = 120^\circ C[/tex], we get volume of balloon (which is the volume of the air inside it) as [tex]V_1 = x \: \rm cm^3[/tex]
Then, by the volume-temperature ratio, we get:
[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\\\\\dfrac{100}{60} = \dfrac{x}{120} \implies x = 2 \times 100 = 200 \: \rm cm^3[/tex]
Thus, the volume of the new balloon is given by: Option B: 200 cm³
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Answer: 118 cm3
Step-by-step explanation:
I took the test it was correct
y’all helpppppppppp!!!!
Answer:
Perimeter= 20 inches
Step-by-step explanation:
since the perimeter of a plane figure is distance round the shape, we add all the sides in order to get 20inches.
Perimeter= 4+5+4+4+3= 20incjes. That's for the perimeter.
Then area, we divide the shape into two portions sides A and B.
We find the area of side A which is a rectangle so, the are = Length×Breadth..
= 4×5 = 29cm².Side B is a triangle so it's area will be
Answer:
Total Perimeter = 30 in
Total Area: 30 in²
Step-by-step explanation:
First, do the perimeter of the triangle.
Equation: side+side+base = 3 + 4 + 5 = 12
Next is the perimeter of the rectangle.
Equation: 2(length + width) = 2·(5 + 4) = 18
Then, add the two perimeters:
12 + 18 = 30 in (Total Perimeter = 30 in)
Next, do the area of the triangle.
Equation: height • base/2 = 4 · 5/2 = 10
Finally, the area of the rectangle.
Equation: width • length = 4 · 5 = 20
Then, add the two areas:
10 + 20 = 30 (Total Area: 30 in²)
the problem is Question
Divide.52÷(−45)
Answer:
-1.555
Step-by-step explanation:
52/(-45)= -1.555555
Answer:
well i just worked it out and got -1.155556...
Step-by-step explanation: Sorry if this wasn't very helpful, i really did try though have an amazing day :D
A 2-cup bottle of hair gel costs $23.20. What is the price per fluid ounce?
$_______
Answer:
11.6
Step-by-step explanation:
Divide the 23.20 by 2 to get 11.6 per fluid. So the answer is $11.6.
Hope this helped you out!!!
Answer:
$1.45 per fluid ounce
Step-by-step explanation:
There are 8 ounces in 1 cup
There are 16 ounces in 2 cups
Solve:
16 ounces = $23.201 ounces = $23.20 ÷ 161 ounces = $1.45-Chetan K
I need help!!!!!!!!!!!
i) less than
ii) greater than
iii) less than
iv) greater than
Step-by-step explanation:
do you need the calculations too?
Anyone mind helping!?
Answer:
B) [tex]3\sqrt{3}[/tex]
Step-by-step explanation:
First simplify the radical on the right.
[tex]\sqrt{75}[/tex] is equal to [tex]\sqrt{25} *\sqrt{3}[/tex] , because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.
Then we know [tex]\sqrt{25}[/tex] is just equal to 25, which means the simplified version of [tex]\sqrt{75}[/tex] is [tex]5\sqrt{3}[/tex].
Then we can use this new representation to finish solving.
[tex]8\sqrt{3}-5\sqrt{3} =3\sqrt{3}[/tex], so the answer would be B
If the metal used to construct the spinner costs $13. 25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent. Cost = $.
Answer:
129.82
Step-by-step explanation:
I got the right answer
The cost to make the spinner is $132.50.
The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.
The area of each triangle is (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters.
The total area of the spinner is 2 * 5 = 10 square centimeters.
The cost to make the spinner is 10 * $13.25 = $132.50.
Rounded to the nearest cent, the cost is $132.51.
Here is the calculation:
Area of each triangle = (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters
Total area of the spinner = 2 * 5 = 10 square centimeters
Cost to make the spinner = 10 * $13.25 = $132.50
Rounded to the nearest cent, the cost is $132.51
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cos60=5/zy ??? how do I get rid of the 5? Normally I would multiply by the denominator but that doesn't work here. The end answer should be zy=10
cos 60 = 1/2
1/2 = 5/zy
1= 10/zy
zy=10
CAN SOMEONE PLS HELP ME ON THIS QUESTIONNN????????????
Answer:
the answer is 322
Step-by-step explanation:
Jimmy applied the distributive property to write the equation below.
24 + 6 = 6 (4 + 2)
Answer: if you simplify this it becomes 30=28 but this is a false statement so you would say 30≠28
Step-by-step explanation:
≠ means not equal
This morning Harry took a history test they were 45 multiple choice problems on the test and answered 60% of them correctly how many problems did Harry get right
Answer: 27
Step-by-step explanation:
Convert 60% to a decimal
.60 * 45 = 27
Deternine what thanks
Answer:
Point B
Step-by-step explanation:
f (-4) is finding -4 on the y axis. Point B is (2, -4), hence the reason why it is the answer.
what is the equation of the linear function
Answer:
y=3x+10 is the answer. I hope it is
hello i don't get it pla help me i just want an answer
Answer:
-3
Step-by-step explanation:
y = 4x - 3
this equation is put in slope intercept form
y = mx + b
where m = slope and b = y intercept.
we want to find the y intercept
-3 takes the spot of b therefore the y intercept is -3
A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3. 14 for π and round your answer to the nearest tenth. 682. 7 in3 2143. 6 in3 85. 3 in3 267. 9 in3.
Volume is the space occupied by an object. The volume of the globe is 268.0825 in³.
What is the volume of a sphere?The volume of the sphere is given by the formula,
[tex]\text{Volume of Sphere}= \dfrac{4}{3} \pi r^3[/tex]
We know that the diameter of the globe is reduced to half, therefore, the diameter of the globe,
[tex]\rm \text{New Diameter of the globe} = \dfrac{Diameter}{2} = \dfrac{16}{2} = 8\ inches[/tex]
Also, the radius of the globe is half of its diameter,
[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{8}{2} = 4\ inches[/tex]
We know that the shape of a globe is spherical, also, we know the formula of the volume of the sphere, therefore, the volume of the globe can be written as,
[tex]\begin{aligned}\text{Volume of Globe}&= \dfrac{4}{3} \pi r^3\\\\& =\dfrac{4}{3} \pi (4)^3\\\\&=268.0825\rm\ in^3 \end{aligned}[/tex]
Hence, the volume of the globe is 268.0825 in³.
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What is the volume of a right circular cylinder with a base diameter of 17. 5 ft and a height of 24. 5 ft? Enter your answer in the box. Use 3. 14 for pi and round only your final answer to the nearest hundredth.
Right circular cylinder has its height as the straight line connecting centers of its top and bottom circle. The volume of given cylinder is: 5889.95 cubic feet.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi \times r^2 \times h \: \rm unit^3[/tex]
For the given case, the considered right circular cylinder has these dimensions:
Its base diameter = 17.5 ft
Its height = 24.5 ft
Since radius is half of diameter, thus, radius of considered cylinder = 17.5/2 = 8.75 ft
Thus, using the formula for volume of right circular cylinder, we get:
[tex]V = \pi \times r^2 \times h \: \rm unit^3\\V \approx 3.14 \times (8.75)^2 \times (24.5) \approx 5889.95 \: \rm ft^3[/tex]
Hence, the volume of given cylinder is: 5889.95 cubic feet.
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11. A bank is offering a 6-month loan of $5,000 with an annual simple interest rate of 7%. What is the
loan amount at maturity?
a. $5,175
b. $5,100
c. $5,050
d. $5,235
HELP ME PLEASE I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
>
Step-by-step explanation:
|-4| = 4
-|4| = -4 as the absolute value is applied first, then the number becomes negative because of the minus sine.
find the slope of each line
please help i am confused,
Answer:
Slope: 3
Step-by-step explanation:
There are two ways to solve this, one is more algebraically, and one is more logically.
Algebraically:
When only a graph is available to us as a resource, we can use a method called rise-over-run, which looks like this [tex]\frac{y}{x}[/tex].
Now, we select 2 points on the graph that are real integer values, meaning they aren't decimals. I will use (3,-2) and (4,1)
When we use rise-over-run we subtract the y-values and the x-values from each over before dividing. [tex]\frac{1-(2)}{4-3} = 3/1=3[/tex]
Logically:
We can use something called a "slope triangle" to find the slope. We will connect the same 2 points mentioned before.
We will draw a triangle to the right of the two points. I will attach a screenshot.
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 25 pounds each. There
are 125 boxes in all. If the truck is carrying a total of 4625 pounds in boxes, how many of each type of box is it carrying?
Number of large boxes =
Number of small boxes =
Answer:
There are 50 large boxes.
There are 65 small boxes
Step-by-step explanation:
First, "boxes of two sizes" means we can assign variables:
Let x = number of large boxes
y = number of small boxes
"There are 115 boxes in all" means x + y = 115 [eq1]
Now, the pounds for each kind of box is:
(pounds per box)*(number of boxes)
So,pounds for large boxes + pounds for small boxes = 4125 pounds"the truck is carrying a total of 4125 pounds in boxes"
(50)*(x) + (25)*(y) = 4125 [eq2]
It is important to find two equations so we can solve for two variables.
Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:
x = 115 - y [from eq1]
50(115-y) + 25y = 4125 [from eq2]
5750 - 50y + 25y = 4125 [distribute]
5750 - 25y = 4125
-25y = -1625
y = 65 [divide both sides by (-25)]
There are 65 small boxes.
Put that value into either equation (now, which is easier?) to solve for x:
x = 115 - y
x = 115 - 65
x = 50
There are 50 large boxes.
The areas of the figure below
Answer:
264 , 42
Step-by-step explanation:
i need help with this
Answer:
V=904.32 cubic centimeters
Step-by-step explanation:
V=4/3(Pi)x6^3
3x + 5y = 7
How to solve it
Answer:
x=1 and y=4/5
Step-by-step explanation:
Given system of equations
3x+5y=7
5x+10y=13
Multiply first equation by 2
2(3x+5y)=2(7)
6x+10y=14
Eliminate y-variable to get "x"
6x+10y=14
- 5x+10y=13
x = 1
Substitute x=1 into either equation and find "y"
3x+5y=7
3(1)+5y=7
3+5y=7
5y=4
y=4/5
Therefore, x=1 and y=4/5
TONTE UI E doove
7) Is this exponential growth or decay?
ТУ
$ 10
Growth
Decay
Both
ОО
O Neither
Wibataisuthe initial amount anbefunction
EXTD
i need help please thanks
did i get the second one wrong
Answer:
Earth to the Moon I think
How do I solve this ?
Step-by-step explanation:
12 in long requires 96 pounds.
inversely proportional means that if I double the length of the handle, I need only half of the force.
so,
24 in long requires 48 pounds.
the product of both factors is constant for the system.
c = 12×96 = 1152 = 24×48 = ...
c is called "work". it is force times distance and usually expressed in joules.
(a)
so, the force is then work / distance.
force = 1152 / length
(b)
60 = 1152 / length
60 × length = 1152
length = 1152/60 = 288/15 = 96/5 = 19.2 in
the handle must be 19.2 in long to do the same work with 60 pounds of force (i.e. to loosen the bolt with 60 pounds of force).
Tell me is it same or different?
Tell me why?
same.......
i guess......
The equation 5x+7=4x+8+x-1 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe what happens.
What is the product of 8.2 × 109 and 4.5 × 10-5 in scientific notation?
36.9 × 10-45
12.7 × 104
3.69 × 105
3.69 × 1014
Answer:
Step-by-step explanation:
8.2×10^9 ×4.5×10^{-5}=36.9×10^4
Answer:
its c 3.69x105
Step-by-step explanation:
Calculator
What is the solution to this inequality?
4x + 8 <_ 28
Drag and drop a symbol and number to correctly complete the inequality.
_9 -5
5
9
Der
Answer:
x<_5
Step-by-step explanation:
first collect the like terms
4x<_28-8
4x/4<_20/4
=x<_5
A bouncy ball is dropped such that the height of
its first bounce is 4.75 feet and each successive
bounce is 75% of the previous bounce's height.
What would be the height of the 9th bounce of
the ball? Round to the nearest tenth (if
necessary).
The rate at which the ball drops from the height is an illustration of an geometric sequence
The height of the 9th bounce of the ball is 0.4 feet
How to determine the height of the ballThe given parameters are:
Initial height, a = 4.75
Rate, r = 75%
Bounce, n = 9
The function that represents the height of the ball is:
[tex]H = ar^{n[/tex]
So, we have:
[tex]H = 4.75 * (75\%)^{9[/tex]
Evaluate
[tex]H = 0.4[/tex] --- approximated
Hence, the height of the 9th bounce of the ball is 0.4 feet
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