The original volume of the gas would be 4.00 liters
What is Boyle's law?Boyle's law is a gas law that states that the pressure of a gas is inversely proportional to it's volume with temperature kept constant.
It is represented thus;
P1V1 = P2V2
Where P1 = Original pressure = 6 atmospheres
V1 = Original volume =?
P2 = Final pressure =4 atmospheres
V2 = Final volume= 6 liters
How to calculate the original volumeMake the original volume V1, subject of formula
V1 = P2× V2 ÷ P1
V1 = 4× 6 ÷ 6 = 24 ÷ 6 = 4. 00 liters
Hence, the original volume of the gas is 4.00 liters
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It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket ?
It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket?
Solution:60% of $13.50 is 0.6*13.50 = 8.10
Cut this figure in half to get 8.10/2 = 4.05
So the cost of each ticket was $4.05
Answer:The cost of each ticket is $4.05.
학습을 계속하다
What is the simple interest on N450 for 2 years at 3%?
Answer:
Simple Interest = PTR/100
P=450
T=2
R=3%
Simple Interest = PTR/100
=450×2×3\100
=27
Hence the interest is 27.
After a 35% reduction, you purchase a new television for $136.5. What was the price of the television before the reduction?
A) First write an equation you can use to answer this question.
B) Solve your equation in part [A] to find the original price of the television.
Answer:
See Below
Step-by-step explanation:
35% off means you pay 65%
sooo A) .65 x = 136.50 where x = original price
B) x = 136.50/.65 = $210 original price
In how many years will $7000 yield an interest of $4620 at 22% simple interest?
Answer:
3 Years
Step-by-step explanation:
7000*22% = 1540
4620/1540 = 3
1540 = the yearly interest
so it will take 3 years of $1540 of interest to get $4620.
Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.
hope this helped
Which equation can be simplified to find the inverse of y = x2-7?
Find the middle term of the expansion of (√x+√y)^8. a. 40x2y2 c. 40x4y4 b. 70x2y2 d. 70x4y4
The middle term of the expansion of (√x + √y)⁸ is; B: 70 * x² * y²
How to solve binomial theorems?We want to expand the expression;
(√x + √y)⁸
Now, according to binomial expansion, we know that;
(x + y)ⁿ = ⁿC₀ xⁿ y⁰ + ⁿC₁ xⁿ ⁻ ¹ y¹ + ⁿC₂ xⁿ ⁻ ² y² + ..... + ⁿCₙ x⁰ yⁿ.
Now, for an 8 power binomial, the coefficient of each term from formula are respectively;
1 8 28 56 70 56 28 8 1
The mid term is the fifth term and so, we have;
(⁸C₄ * (√x)⁽⁸ ⁻ ⁴⁾ * (√y)⁴)
⇒ 70 * x² * y²
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AB = 10 in; AD = 6 in
A=
30sqrt3 in2
30 in2
60 in2
Answer: 30
Step-by-step explanation:
If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].
However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].
So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]
Which of the following are exterior angles? Check all that apply.
A. <4
B. <1
C. <5
D. <2
E. <3
F. <6
All of the ppl that answered this for it wrong, it is <6!! ( < = angle)
A rectangle has an area of 65 cm² and a length of
13 cm. Find the perimeter of this rectangle.
Answer:
36 cm
Step-by-step explanation:
See attached image
EN=NG, which of the following statements CANNOT be true? F M E R NP Q A. MN is a perpendicular bisector. OB. FM = MG O C. Pis a midpoint. O D. MN is a midsegment. G
help dawg
Answer:A. MN is a perpendicular bisector.
Hope that helps
Step-by-step explanation:
i need helpppp with this question
A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
Based on the segment addition postulate, the length of GH is: 4 units.
What is the Segment Addition Postulate?The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.
FG = 2 unitsFI = 7 unitsHI = 1 unitGH = ?FI = FG + HI + GH [segment addition postulate]
7 = 2 + 1 + GH
7 = 3 + GH
7 - 3 = GH
4 = GH
GH = 4 units.
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Answer:
B- 4 units
Step-by-step explanation:
CHARLES' LAW CALCULATION.
1.The temperature will be, T2= 169.8 K
2. The volume if the temperature is 318 K is 0.170 L
What is Charles Law?Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.
Given: V1= 250 ml=0.25L
V2=150 ml= 0.15 L
T1= 10 °C=283 K, T2=?
Now using Charles law
V1/T1=V2/T2
0.25/283=0.15/T2
T2= 169.8 K
2. T1= 20 °C= 293 K
V1= 160 cm³
T2= 318 K
V2=?
Using Charles Law,
V1/T1=V2/T2
0.16/293=V2/313
0.170 L=V2
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Problem #2
Using the perpetual inventory system, journalize the entries for the following transactions:
a) Sold merchandise on account for $12,000, terms 1/10, n/30. The cost of the merchandise sold was $6,500.
b) Sold merchandise on account for $9,500 to customers who used a VISA card. The cost of the merchandise sold was
$5,300.
c) The customer in a) returned merchandise which was sold for $1,000 and that we had purchased for $780.
d) Purchased merchandise on account for $8,500, credit terms 1/15, n 45, FOB destination. The appropriate company paid
the Freight costs of $500.
The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.
How to depict thejournal?
a. Debit Accounts Receivable 12000
Credit Sales 12000
Debit Cost of Merchandise Sold 6500
Credit Merchandise Inventory 6500
b. Debit Cash 9500
Credit Sales 9500
Debit Cost of Merchandise Sold 5300
Credit Merchandise Inventory 5300
c. Debit Cash 2900
Credit Sales 2900
Debit Cost of Merchandise Sold 1700
Credit Merchandise Inventory 1700
d. Debit Credit Card Expense 385
Credit Cash 385
e. Debit Credit Card Expense 75
Credit Cash 75
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Evaluate 1/2 X (6 X 4)÷3 + 2 show your work to find the answer pls hurry
So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8
To answer the question, we must use the rules of arithmetic in mathematical operations
What are mathematical operationsMathematical operations are operation which include
addition, subtraction, multiplication and division. Rules of arithmetic in mathematical operationsIn arithmetic, we follow the rule PEMDAS where
P - parentheses E - exponents M - multiplication D - division A - addition and S - subtractionSo, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.
So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2
= 12 ÷ 3 + 2
= 6 + 2
= 8
So, 1/2 × (6 × 4) ÷ 3 + 2 = 8
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pls help me with 5,6,7,8,9,10,11.Its 7th grade maths i really need help.I'll
also give brainliest
The missing areas and dimensions of the given squares, rectangles, and triangles are:
2. 36 cm²
3. 21 cm²
4. 9 cm²
5. 5 cm
6. 10 cm
7. 4 cm
8. 8 cm
9. 7 cm
10. 7
11. 10
What is the Area of a Square, Rectangle, and a Triangle?Area of a square = s²
Area of a rectangle = (length)(breadth)
Area of a triangle = 1/2(base)(height).
2. Area of square = s² = 6² = 36 cm².
3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².
4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².
5. Area of a rectangle = (length)(breadth)
60 = (12)(breadth)
Breadth = 60/12
Breadth = 5 cm.
6. Area of a triangle = 1/2(base)(height)
35 = 1/2(7)(height)
Height = (35)(2)/7
Height = 10 cm
7. Area of a square = s²
16 = s²
s = √16
s = length = 4 cm
8. Area of a triangle = 1/2(base)(height)
40 = 1/2(10)(height)
Height = 40/5
Height = 8 cm.
9. Area of a square = s²
49 = s²
s = √49
s = length = 7 cm
10. Area of a rectangle = (length)(breadth)
84 = (12)(breadth)
Breadth = 84/12
Breadth = 7 cm.
11. Area of a triangle = 1/2(base)(height)
35 = 1/2(7)(height)
Height = 70/7
Height = 10 cm.
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A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.
A dartboard consists of a circle inscribed in a square.
Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3.14 for π.
22%
25%
75%
79%
The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A dartboard consists of a circle inscribed in a square.
The area of the square is 64 square inches.
We know the area of the square:
A = a²
a is the side of the square.
64 = a²
a = 8 inches
As the circle inscribed in a square.
The diameter will be 8 inches
The radius of the circle r = 8/2 = 4 inches
Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches
P(dart will land on circular dartboard) = 50.24/64 = 0.785
P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215
or
P(dart will not land on circular dartboard) = 21.5% ≈ 22%
Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.
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Answer:
22%
Step-by-step explanation
Edge.2023!
Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m<ABC
Answer: [tex]45^{\circ}[/tex]
Step-by-step explanation:
[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.
[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]
This means that:
[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]
As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]
ristina and Lamar use a ruler and protractor to draw triangles with given conditions. Part A Cristina is asked to construct a triangle with a 45° angle and a 65° angle. How many different triangles could she draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle Part B Lamar is asked to construct a triangle with two angles measuring 45° and 65°, with the side length between those angles 4 centimeters long. How many different triangles could he draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle
Answer:The sum of the interior angles in any triangle must be equal to 180 degrees
In this problem we have a triangle with a 45 degree angle and a 65 degree angle
so
The measure of the third side must be equal to
The triangle is a 45°-65°-70°
Remember that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem
I can have as many triangles whose internal angles are congruent and their sides are proportional
therefore
More than one triangle can be drawn with these conditions
Step-by-step explanation:
Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
the piece of fabric to the diagonally opposite corner. Now Abby has two equally sized triangles of fabric. What is the perimeter of each triangle centimeters
answer: 195cm
the photo should explain
what is the smallest number when divided by 24 and 12 leaves remainder 12
Answer:
The smallest number is two 2
Find the surface area and lateral surface area of the cylinder. Round your answers to the nearest tenth.
3 yd
Surface area:
Lateral surface area:
A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Lateral area of the cylinder = Area of the curved surface
= 2πR × H
= 2 × π × 3yd × 6yd
= 36π yd²
= 113.0973 yd² ≈ 113.1 yd²
The total surface area of the cylinder
= Area of the two bases + Area of the curved surface
= 2(π × 3²) + 113.0973 yd²
= 56.54866 yd² + 113.0973 yd²
= 169.6459 yd² ≈ 169.7yd²
Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².
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Triangle ABC is defined by the points A(2,9), B(8,4), and ((-3,-2).
Complete the following equation for a line passing through point C and perpendicular AB.
The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
The slope of the segment AB:
[tex]\rm m =\dfrac{4-9}{8-2}[/tex]
m = -5/6
The slope of the line perpendicular to AB:
Let M is the slope of the line:
mM = -1
(-5/6)M = -1
M = 6/5
The line:
y = Mx + c
y = (6/5)x + c
The line passing through the point C(-3, -2)
-2 = (6/5)(-3) + c
c = 8/5
y = (6/5)x + 8/5
5y = 6x + 8
Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
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HELP ASAP WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Remark
This is a proportion question. A proportion is 2 equal ratios that requires you to solve the 4th part when you know the other 3.
Givens
1 foot scale model length
5 feet of actual length
x = length of model
65 feet of actual length
Formula
1 foot / 5 feet = x / 65 feet
Solution
1/5 = x / 65 Cross multiply
5x = 65 Divide by 5
5x/5 = 65/5
x = 13
Answer
The model is 13 feet long
(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55. Which statement best describes how accurate she can expect her prediction to be? Her prediction will probably be close to the actual value. Her prediction will be unlikely to be close to the actual value. Her prediction will be somewhat likely to be close to the actual value. Her prediction will very likely be close to the actual value.
A correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.
What is correlation coefficient?The correlation coefficient shows the relationship between two variables. It can be used to describe how to variables increase or decrease.
Thus, a correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.
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A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.
Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:
[tex]p = \frac{10}{435}[/tex]
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:
[tex]P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}[/tex]
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The bearing
of P from Q is 0.60°. What is the bearing
of Q from P
Answer:
MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm
Step-by-step explanation:
a circular garden has a diameter of 12 yards whag is the area of the garden use 3.14
Step-by-step explanation:
the area of a circle is
pi × r²
r is the radius (= half of the diameter) of the circle.
radius in our car is 12/2 = 6 yd
and we are to use 3.14 as pi.
so we get as area
3.14 × 6² = 3.14 × 36 = 113.04 yd²
What’s the second step to solving 2x-4=26
Answer:
The second step is to isolate the variable by multiplication or division
Step-by-step explanation:
so it should be solving the x
Answer:]
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
:] Correct me if i'm wrong :]
EASY POINTS
NEED HELL ASAP WIT THIS
Answer:
5
Step-by-step explanation:
You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.