Answer:
the initial temperature is 22.5 atm
Step-by-step explanation:
The law describing pressure-temperature relationship is the Gay-Lussac's Law.
The Mathematical Form of which is:
=> [tex]\frac{P1}{T1} = \frac{P2}{T2}[/tex]
Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K
=> [tex]\frac{P1}{600} = \frac{30}{800}[/tex]
=> P1 = 0.0375 * 600
=> P1 = 22.5 atm
So, the initial temperature is 22.5 atm
5x^3 − 2x^2 + 3x − 8 - (2x^2 + 4)
Answer:
5x^3 - 2x² +3x -8 -(2x²+4)5x^3 - 2x² + 3x - 8 -2x²-45x^3 - 4x²+3x-12Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%
Answer:
78.5%
Step-by-step explanation:
Hope this helps ;) ❤❤❤
Which of the following show the expanded and simplified version of the expression
g(x) = 6(x + 2)2 + (x - 3)(x - 5)
a) 5x² + 16x +39
Ob) 7x² + 32x +39
Oc) 7x² + 16x +39
d) 7x² + 32x +9
Answer:
c) 7x² + 16x +39
Step-by-step explanation:
g(x) = 6(x + 2)² + (x - 3)(x - 5)
g(x) = 6(x² + 2*2x + 2²) + (x² - 3x - 5x + 15) =
= 6x² + 24x + 24 + x² - 8x + 15 = 7x² + 16x + 39
Instructions: Find the missing length indicated.
Answer:
X = 25
Step-by-step explanation:
Set up as a ratio:
Simplify ratio, multiply by 5, divide by 12
[tex]\frac{60}{144} = \frac{x}{60} \\\frac{5}{12}=\frac{x}{60} \\ 300 = 12x\\12x=300\\x=25[/tex]
Find the product of 2x and 3.
Answer:
6x
Step-by-step explanation:
Product is multiplication.
2x × 3
Multiply.
2 × x × 3
= 6x
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
Please help me to answer this question thank you otherwise I my teacher will be so mad .
Answer:
2/3 ≈ 0.666667
5/11 ≈ 0.454545
5/6 ≈ 0.833333
6/7 ≈ 0.857143
Step-by-step explanation:
Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.
Answer:
2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever
5/11= 5 divided by 11 = 0.454545
5/6 = 5 divided by 6 =0.833333
6/7 = 6 divided by 7 = 0.857143
rounded up because it is an infinite decimal
Hope this helps
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]
Find the solutions to the equation below.
6x^2+ 5x - 4 = 0
A. x= - 4/3
B. X = -2
C. X= 4
D. x= - 1/3
E. x= 1/3
F. x = 1/3
Answer:
F x=1/2
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
We want to find the zeros of this polynomial:
p(x)= 3x^3 – 3x^2– 18x
Answer:
x=0 x=3 x=-2
Step-by-step explanation:
p(x)= 3x^3 – 3x^2– 18x
Factor out the greatest common factor, 3x
p(x)= 3x (x^2 – x– 6)
Factor inside the parentheses
What 2 numbers multiplies to -6 and adds to -1
-3*2 = -6
-3+2 = -1
p(x)= 3x (x-3)(x+2)
Setting the function equal to zero to find the zeros
0 = 3x (x-3)(x+2)
Using the zero product property
3x = 0 x-3 =0 x+2 =0
x=0 x=3 x=-2
Answer:
x = -2, 0, 3.
Step-by-step explanation:
3x^3 – 3x^2– 18x = 0
First take out the GCF which is 3x:
3x(x^2 - x - 6) = 0
So one zero is 0 ( because 3x = 0).
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = -2, 3.
The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?
Answer:
P=26
Step-by-step explanation:
Answer:
Step-by-step explanation:
Begin with the fact that the area of a rectangle is A = L * W. We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.
42 = 7 * W so
w = 6 mm.
The perimeter formula is P = 2L + 2W, and now we know L and W. So
P = 2(7) + 2(6)
P = 14 + 12
P = 26
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
Which of the following is the Perpendicular Bisector Theorem?
Answer:
B
Step-by-step explanation:
So perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length).
Answer:
the answer is b
Step-by-step explanation:
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
What is the probability of choosing a card that does not have a digit 1 on it? Give the answer as a fraction numbers: 1,2,3,4,5,6,7,8,9,10
Answer:
8/10
Step-by-step explanation:
There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8
8/10
What is the highest common factor (HCF) of 9 and 15?
Answer:
3
Step-by-step explanation:
9's factor is 1, 3, 9.
and 15's factor is 1, 3, 5, 15.
so, the answer is 3.
Please answer please correct
Answer:
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
Step-by-step explanation:
The sides of an angle are rays. A ray is named by first naming its end point, then a point on the ray.
Here, the lower side is ray VU. The vertical side is ray VW.
If you have the symbols available, you can indicate the feature is a ray by putting a single-ended arrow over the name. The arrowhead is over the point that is not the vertex of the angle. Here, the sides of angle UVW are ...
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
. Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva sus 3 últimos juegos: 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con s/. 70. ¿Cuánto tenía al inicio?
Answer:
Alfredo tenía 80 soles peruanos al inicio.
Step-by-step explanation:
La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:
Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:
[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]
[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]
Donde:
[tex]x[/tex] - Monto inicial, medido en soles peruanos.
[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.
Se reduce el sistema de ecuaciones:
[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]
[tex]z = \frac{2}{5}\cdot x[/tex]
Gana en forma consecutiva sus 3 últimos juegos:
[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]
[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]
[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]
Donde:
[tex]z[/tex] - Monto inicial, medido en soles peruanos.
[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).
Se reduce el sistema de ecuaciones:
[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]
[tex]w = \frac{35}{16}\cdot z[/tex]
Si [tex]w = 70[/tex], el monto inicial es:
[tex]z = \frac{16}{35}\cdot w[/tex]
[tex]z = \frac{16}{35} \cdot (70)[/tex]
[tex]z = 32[/tex]
Ahora,
[tex]x = \frac{5}{2} \cdot z[/tex]
[tex]x = \frac{5}{2}\cdot (32)[/tex]
[tex]x = 80[/tex]
Alfredo tenía 80 soles peruanos al inicio.
Al inicio Alfredo tenía $80.
Determinación de cantidadesDado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:
((((0.66X) x 0.6) x 1.5) x 1.25) x 1.16 = 70((((0.66X) x 0.6) x 1.5) x 1.25) = 70 / 1.16(((0.66X) x 0.6) x 1.5) = 60 / 1.25(((0.66X) x 0.6) x 1.5) = 60 / 1.25((0.66X) x 0.6) = 48 / 1.50.66X = 32 / 0.6X = 53.333 / 0.66 X = 80Por lo tanto, al inicio Alfredo tenía $80.
Aprende más acerca de determinación de cantidades en https://brainly.com/question/13806160
Help me please thanks must be accurate
Answer:
Answer B (The cost of fabric compared to its length)
Step-by-step explanation:
The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.
The other options are much more randomly varying.
An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV
After driving half the way from the city to the Zoo, I passed a tour bus traveling at an average speed of 78 km/h in the opposite direction from the Zoo to the city. When I reached the Zoo 20 minutes after passing the bus, the bus was still 14 km from the city. How far was the Zoo from the city? Can someone please solve this for me?
Answer:
The distance from the Zoo to the city is 80 km
Step-by-step explanation:
The given information are;
The speed of the tour bus = 78 km/h
The point of passing the tour bus = Half way between the city and the Zoo
The time taken after passing the tour bus when it was still 14 km from the city = 20 minutes = 20/60 hour = 1/3 hour
Therefore, we have that the distance covered by the tour bus in 1/3 hour = Time ×Speed = 1/3×78 = 26 km
The distance remaining for the tour bus to reach the city = 14 km
The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo
Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km
∴ 40 km = Half the distance from the city to the Zoo
Which gives;
The distance from the Zoo to the city = 2 × 40 km = 80 km.
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
Convert 5.86 to a percent. A. 586% B. 58.6% C. 5.86% D. 0.0586%
Answer:
586%
Step-by-step explanation:
5.86 times 100 to change to a percent
586 %
Answer:
A. 586%
Step-by-step explanation:
Multiply 5.86 by 100.
Drop the decimal.
Add the percent symbol.
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
98-x2=0 solve this with the quadratic formula
Answer:
x∈{-7√2, 7√2}
Step-by-step explanation:
[tex]98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2[/tex]