Answer:
8
Step-by-step explanation:
4(x-3) -2(x+1) =2
=> 4x - 12 - 2x - 2 = 2 [opening brackets]
=> 4x - 2x - 12 - 2 = 2
=> 2x - 14 = 2
=> 2x = 14 + 2
=> 2x = 16
=> x = 16/2
=> x = 8
4 ( x - 3 ) - 2 ( x + 1 ) = 2
2 ( x - 3 ) - ( x + 1 ) = 1
2x - 6 - x -1 = 1
2x - x = 1 + 6 + 1
x = 1 + 6 + 1
x = 7 + 1
x = 8
The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool
9514 1404 393
Answer:
25 ft
Step-by-step explanation:
The volume is given by the formula ...
V = LWD . . . . . the product of length, width, depth
Solving for L, we have ...
L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft
The length of the pool is 25 ft.
need help with some khan academy stuff
Answer:
2.2 % per minute
35 minutes
Step-by-step explanation:
(0,23%) and (30, 89%)
We can find the slope
m = ( y2-y1)/(x2-x1)
= (89-23)/(30-0)
66/30
=2.2 % per minute
To get to full change we need 100-23 = 77 %
77% * 1 minute/ 2.2 % =35 minutes
How would I graph this?
If 32^2^c= 8^cC+7, what is the value of c?
Answer:
C=3
Step-by-step explanation:
A factory makes 3.65 meters of masking tape every second. How many meters of masking
tape can the factory make in 4 seconds?
Answer:
i think 14.6
Step-by-step explanation:
pls mark bainlyest
If z=(x+y)e^y and x=5t and y=1−t^2, find the following derivative using the chain rule. Enter your answer as a function of t.
dz/dt= ?
By the chain rule, if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then
[tex]\dfrac{\mathrm dz}{\mathrm dt} = \dfrac{\partial f}{\partial x}\dfrac{\mathrm dx}{\mathrm dt} + \dfrac{\partial f}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}[/tex]
We have [tex]f(x,y)=(x+y)e^y[/tex], for which
• [tex]\dfrac{\partial f}{\partial x} = e^y[/tex]
• [tex]\dfrac{\partial f}{\partial y} = e^y + (x+y)e^y = (x+y+1)e^y[/tex]
and [tex]x(t)=5t[/tex] and [tex]y(t)=1-t^2[/tex], so that
• [tex]\dfrac{\mathrm dx}{\mathrm dt} = 5[/tex]
• [tex]\dfrac{\mathrm dy}{\mathrm dt} = -2t[/tex]
Putting everything together, we get
[tex]\dfrac{\mathrm dz}{\mathrm dt} = 5e^y - 2t(x+y+1)e^y \\\\ \dfrac{\mathrm dz}{\mathrm dt} = 5e^{1-t^2} - 2t(5t-t^2+2)e^{1-t^2} = \boxed{\left(2t^3-10t^2-4t+5\right)e^{1-t^2}}[/tex]
The solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
What is the Chain rule?The chain rule explains how to calculate a composite function's derivative.
What is a composite function?If you may write [tex]f(g(x))[/tex] , a function is composite. It's a function within a function, or a function of a function, in other words.
By the chain rule, we can write if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
As it is given to us, [tex]f(x,y)=(x+y)e^y[/tex], therefore, we can write,
[tex]\dfrac{\partial f}{\partial x}=e^y[/tex][tex]\dfrac{\partial f}{\partial y}=e^y+(x+y)e^y=(x+y+1)e^y[/tex]And x(t)=5t, while y(t)=1-t², So,
[tex]\dfrac{dx}{dt}=5[/tex][tex]\dfrac{dy}{dt}=-2t[/tex]Now, Substitute all the values together, in the equation,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
Substituting the values we will get,
[tex]\dfrac{dz}{dt} &=(5 \times e^y)+[-2t(x+y+1)e^y]\\\\[/tex]
[tex]=5e^{1-t^2}-2t(5t-t^2+2)e^{1-t^2}\\\\=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex]
Hence, the solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
Learn more about Chain Rule:
https://brainly.com/question/2285262
brainliest to best answer
Answer:
2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
so 2x1=2 so -2x-1=2
if its wrong i dont now cause im silly
I =∫▒dx/(x^2 √(x^2+4))
Calculate the difference and enter it below.
-19-(-10)
Answer here
Answer:
+1 is the answer
Step-by-step explanation:
-19-(-10)
-19+10
+1
evaluate x^2 when x=5
Answer:
25
Step-by-step explanation:
x = 5
x^2 = 5^2 = 5*5 = 25
Answer:
25
Step-by-step explanation:
5*5=25
J is the midpoint of CT
If:
CJ= 5x – 3 and
JT = 2x + 21
Find CT.
Answer:
74
Step-by-step explanation:
Since J is the midpoint, that just means that both CT and JT are going to be the same length. With that information we can create an equation and solve for x.
5x - 3 = 2x + 21
5x = 2x + 24
3x =24
x = 8
Now to find the length of CT, we will add both equations to find the total length.
5x - 3 + 2x + 21
5(8) - 3 + 2(8) + 21
40 - 3 + 16 + 21
37 + 16 + 21
53 + 21
74
Best of Luck!
Answer:
CT = 74
Step-by-step explanation:
J = the midpoint of CT
CJ = JT
5x – 3 = 2x + 21
+3 +3
------------------------
5x = 2x + 24
-2x -2x
-------------------------
3x = 24
x = 8
Now, we know that CT = CJ + JT
= 5x - 3 + 2x + 21
= 7x + 18
now our x value we found was 8 right? Plug that in here.
= 7 (8) + 18
= 56 + 18
= 74
Distrubutive property
(m-3)(-10)?
Answer: -10m + 30
Step-by-step explanation:
Given expression
(m - 3) (-10)
Expand parentheses and apply the distributive property
=m · (-10) - 3 · (-10)
Simplify by multiplication
=[tex]\boxed{-10m+30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same
Answer:
you could have a 6 and then a -6
or a 3 and a -3
or 0 and 0
have 2 cards with the same number but one is negative
Step-by-step explanation:
S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39
9514 1404 393
Answer:
A. 32
Step-by-step explanation:
The relationship between segment lengths is ...
WT·WU = WC·WV
14(2x +2) = 12(2x +5)
28x +28 = 24x +60
4x = 32
2x = 16
Then the measure we're after is ...
UT = WT +WU = 14 +(16 +2)
UT = 32
4. Los usuarios del transporte público llegan en forma aleatoria e independiente a una para de autobús. La tasa media de llegada es 10 persona por minuto.
a. Calcule la probabilidad de que no llegue ninguna persona en un lapso de un minuto.
b. Calcule la probabilidad de que lleguen tres o menos personas en un lapso de un minuto.
c. De que no llegue ninguna persona en un lapso de 15 segundos. d. De que llegue por lo menos una persona en un lapso de 15 segundos
Answer:
Step-by-step explanation:
Help!
Which expression is equivalent to—
Answer:
2a
Step-by-step explanation:
[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]
➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]
➡️ [tex] = 2a[/tex] ✅
Find the output, k, when the input, t, is -7.
k= 10t - 19
k=
Answer:
Here is the answer . hope this helps.
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain in Simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,
I apologize for asking this again but I need help finding the complementary angles, ASAP
Answer:
2nd option is correct
∠AEF and ∠FED , ∠AEG and ∠CEG
Step-by-step explanation:
1st option is a supplementary and even 3rd and 4th options
A rectangle has an area of 48 cm2 and a perimeter of 38 cm. What are the dimensions of the rectangle?
The dimensions of the rectangle will be 3 cm. and 16 cm..
Solution:
First, calculating the area of the rectangle, based on these dimensions,
Formula for the area of a rectangle:
A=LW
A=(3)(16), or A=(16)(3)
A=48 cm²✔
So, now we know that these dimensions satisfy the area of the rectangle, but do they satisfy the perimeter of the rectangle?
Now, calculating the perimeter of the rectangle, based on these dimensions,
Formula for the perimeter of a rectangle:
P=2(L+W)
P=2(3+16), or 2(16+3)
P=2(19)
P=38 cm ✔
Now, we know that both of these dimensions satisfy both of the given conditions. So, the final answer is that the two dimensions of the rectangle are 3 cm. and 16 cm.. I hope that this answer helped you find what you were looking for. Enjoy your day, and take care.
Simplify the following expression. 2p – 10 – 4p – 7
Answer:
the answer is-2p-3
hope is helpful
Answer:
2p – 10 – 4p –7
–2p –17
I hope I helped you^_^
What is the midpoint of (-2,3) and (4,5)
please help me to find out the answer because I have to show my hw to my teacher
Answer:
2a^3 + 24ab^2
Step-by-step explanation:
yes that is the answer 100%
Help please due today
solve the equation -7 x = -28
-7 x = -28
Divide both sides by -7.
x = 4
Jaya's mother is 5 years more than three times her age. Find Jaya's age if her mother is 44 years old.
Answer:
Jaya is 13 years old.
Step-by-step explanation:
Let's assume Jaya's age to be x years old.
Jaya's mothers age is (3*x)+5.
3x+5=44
3x=39
x=13.
In the cylinder r = 8 cm and h = 4 cm what is it volume by cm
Answer:
804.25 cm³
Step-by-step explanation:
V = πr²h
V = π * (8 cm)² * 4 cm
V = 3.14159 * 64 cm² * 4 cm
V = 804.25 cm³
Three foreign languages are offered at Cliff High School. 1/6 of the students take French, 1/5 take Spanish, and 1/3 German. Which
fraction represents the number of students taking a foreign language at Cliff HS?
Answer:
1/3
Step-by-step explanation:
If 3x+2=5/9, what is the value of −3x+8?
Answer:
[tex] \frac{85}{9} [/tex]
Step-by-step explanation:
hopefully the picture is clear and understandable!
:)
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
(g o f) (x) = g ( f(x) )
= (x+7)² – 1
= x² + 14x+49 – 1
= x² + 14x+48
If you want, (f o g ) (x) below is the solution ^_^
(f o g ) (x) = f ( g(x) )
= g(x) + 7
= x²-1 +7
= x² +6
I hope I helped you^_^