Answer:
V = 160 cm³ when P = 40 kg/cm²
Step-by-step explanation:
V = k / P
Where,
V = volume
P = pressure
k = constant of proportionality
The volume of a gas is 200 cm3 under pressure of 32 kg/cm2
V = k / P
200 = k / 32
Cross product
200 × 32 = k
6,400 = k
k = 6,400
What will be its volume under pressure of 40 kg/cm2?
V = k / P
= 6,400 / 40
= 160
V = 160 cm³
2x+7y =3
x= -4y
x=
y=
Answer:
Y=2
x=7
but they all equal 3
3x+3(x+y) please help
Answer:
6x + 3y
Step-by-step explanation:
distribute
3x + 3x + 3y
Combine like terms
6x + 3y
theres ur answer
Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.
Answer:
x=10+(2/6)
Step-by-step explanation:
Hope this helped!
Answer:
10 + 2/6
Step-by-step explanation:
A quotient is the answer to a division problem.
A sum refers to addition.
Would appreciate Brainlitest!
Write the following number in
scientific notation.
0.05796
[? ] [ ]
Answer:
= 5.796 × 10^-2
(scientific notation)
= 5.796e-2
(scientific e notation)
Step-by-step explanation:
Answer:5.796 x 10- 2
Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
Given that x=8 and y= 12, calculate the value of x3 + y/4
Answer:
72
Step-by-step explanation:
8 times 3 = 24
12 divided by 4 = 3
24 times 3 = 72
i would really really appreciate some help on this... brainliest to whoever can help?..
Answer:
=2 i think srry if i get it wrong
Step-by-step explanation:
The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed
to 18, what will be the new median? ASAP correct answers only pls help
15 will be the new median.
Choose a justification for each step in the derivation of the sine difference identity.
Step 1:
Step 2: Distributive property
Step 3: Associative property
Step 4: Factoring out –1
Step 5:
Step 6:
Step 7:
The Sine difference function was derivated with the help of the sine sum function.
What is the sine difference function?The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.
As we know that
[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)
If we replace b by -b equation (1) becomes
[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]
We know that
Cos(-b) =cosb
Sin(-b) =-Sinb
So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]
Therefore, the Sine difference function was derivated with the help of the sine sum function.
To get more about the Sine function visit:
https://brainly.com/question/10879727
Please help me before I fail... I really need some help <3 please ;-;
Answer:
the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above
Answer: and Step-by-step explanation:
sin(61) = x/55
55(sin(61)) = x
48.1 = x
Hope this helps!
PLEASE HELP ILL GIVE YOU DA BRAINLIESTTTTT
Answer:
x=2, And i think the 2nd one is reflexive
Step-by-step explanation:
Help solve this issue with mathematics
Answer:
last one
Step-by-step explanation:
i would say the last one, but im not sure, this one is really hard
110=-8(2x+9)-3 this is urgent HELP
Answer:
∴x=-11.5625
Step-by-step explanation:
110 = -8 (2x+9 ) -3
110 = -16x - 72 -3
185 = -16x
∴x=-11.5625
Justin was asked to write six different equations based on the triangle below.
600
10
Four of the six equations that Justin wrote are correct. Select FOUR equations that are correct.
tan (60) = 73
tan ( 30 ) =
A
B.
c.
cos ( 30") =
D.
sin ( 60 ) = ?
E. F
cos (60) =
sin ( 30 ) = 3
Answer:
ADEF
Step-by-step explanation:
Four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
Given that ΔABC
∠A = 60° and ∠B = 90° which is given in the figure
⇒ sin 60° = perpendiculer /hypotenuse
⇒ √3/2 = BC/10
⇒ BC = √3/2 × 10
⇒ BC = 5√3
⇒ tan 60° = perpendiculer /base
⇒ √3 = 5√3/AB
⇒ AB = 5√3/√3
⇒ AB = 5
⇒ sin 60° = 5√3/10 = √3/2
⇒ cos 60° = base / hypotenuse
⇒ cos 60° = 5/10 = 1/2
⇒ tan 60° = perpendiculer /base
⇒ tan 60° = 5√3/5 = √3
⇒ cot 60° = 1 /√3
Hence, four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.
Learn more about the Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
Find the sum (2x−6)+4(x−3) =
Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Btw this is a backup account
Answer:
6x - 18
Step-by-step explanation:
Distribute: 2x − 6 + 4x − 12
Group Common Factors: 2x + 4x - 6 -12
Solve: 6x - 18
I hope this helped, please mark Brainliest, thank you!
Ian's car can go 140 miles on 4 gallons of gas. During a drive last weekend, he used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.
140 miles / 4 gallons = 35 miles per gallon.
35 x 5 = 175 miles
Answer:
The car would be able to drive 175 miles with 5 gallons of gas.
Step-by-step explanation:
Every gallon of gas would give you 35 miles of distance.
To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.
Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.
For every 35 miles, I gallon of gas is used.
Hope this helps.
If I deposit $ 800 in a savings account at 6% interest compounded annually, and if I make no withdrawals or deposits for 4 years, how much will I have in my account at the end of 4 years?
Answer:
$992.00
Step-by-step explanation:
Where:
I = P x r x t
P is the principal amount, $800.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 800 × 0.06 × 4 to get that:
The interest is: $192.00
Usually, now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 800.00 + 192.00 = 992.00. For example:
If you borrowed the $800.00, you would now owe $992.00
If you loaned someone $800.00, you would now be due $992.00
If owned something, like a $800.00 bond, it would be worth $992.00 now.
What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2
Answer:
3.74
Step-by-step explanation:
Count, N: 4
Sum, Σx: 32
Mean, μ: 8
Variance, σ2: 14
Hope this helped!
Whoever answers correctly earns brainliest.
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El
Paso is approximately 930 kilometers, what is the approximate distance
between Austin and El Paso on Savannah’s map?
Answer:
6 inches
Step-by-step explanation:
First, take the 930 kilometers and divide it by 77.5 kilometers. You will get 12. This means the distance between Austin and El Paso is 12 one half inches. That is equivalent to 6 inches.
1
2
3
23. Short Answer--- Emily slid down She
the sliding board at the park. A. top
Where did Emily have the most bott
potential energy? B. Where did
Emily have the most kinetic
energy?.
I need help with this plz
Answer:
Most kinetic energy on the top
I need help ill giv3 brainlyness
Answer:
i think the answer if (-9,-3)
Step-by-step explanation:
Tell me if i got it right so i can see where i made a mistake IF i got it wrong
the first answer gets brainliest whether it's right or wrong :)
Answer:
1 :)
Step-by-step explanation:
8 x 7=56
7 x 1=7
Least to greastest .
Answer:
these are fromeast to greatest
9^10
9^5
1^3/4
1^3/20
Answer
Least #3 - #2 - #4 - #1 Greatest
Step-by-step explanation:
Umm I kinda need help pls
Answer:
what help would i do
Step-by-step explanation:
The sum of 2 numbers is 150.One number is 12 more than the other number.What is the smaller number?
Answer: Why did you type on my answer "Thanks for the points".
Step-by-step explanation:
Determine the intercepts of the line.
x-intercept:( , )
y-intercept:( , )
Answer:
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).
The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.
Hope this helps you :)
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
The high school band sells cured hams for a fundraiser. The first week of the
fundraiser, the club sells 8 cases of hams. Each case contains 10 hams. The goal is to
sell at least 20 cases. During the second week of the fundraiser, the club meets its
goal. Which graph of the inequality can be used to find the possible number of hams
sold the second week?
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C