Answer:
An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
Step-by-step explanation:
We know that :
[tex]a_x=\frac{dv_x}{dt}[/tex]
Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]
So, We will use chain rule over here :
[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]
Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]
Chain rule:Here we used the chain rule:
It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).
So,
[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]
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If 5x + 6 = 10, what is the value of 10x + 3 ?
Answer:
11
Step-by-step explanation:
Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.
Answer:
2/15
Step-by-step explanation:
if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15
add the sum of 296 and 173 to their difference
hello please help will give brainliest
Answer:
c
Step-by-step explanation:
288/6 = 48
Hope this helps
Answer:
c.
Step-by-step explanation:
For ratio, u should divide
So, 288/6 = 48:1 or 48/1
6 times 48=288
Pls mark me brainliest
Round 57,824,279 to the nearest ten-million.
57,824,279 rounded to the nearest ten-million is
Answer:
60,000,000
Step-by-step explanation:
5 and up - round up
4 and down - round down
You can see 7, so we round up.
57,824,279 is rounded to 60,000,000
Let me know if I'm wrong!
Answer:
57,824,279 to the nearest ten million is 60,000,000
Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.
Step-by-step explanation:
What is 8x - 6x + 4 +5 = 19
Answer: x = 5
The step-by-step explanation is below.
Combine like terms
8x-6x = 2x
4+5=9
2x+9=19
Subtract 9
2x=10
Divide by 2
x = 5
Hope this helps!
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
(6. 10)
Ka, 8)
(4.b)
(2.2)
a. What is the slope of the line? Type the answer in the box below.
The slope of the ines
Find the value of A, B and C, given that 2z^2 + z + C = A (z+1)^2 + B (z+1) + 4 for all values of z. Please show the step by step process. :)
2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
Are points B, J, and C collinear or noncollinear?
what is the value of x in the equation 2/3(6x-9)=2(x+12)
Answer:
x=15
Step-by-step explanation:
hope this helps
What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.
Answer:
m= -2
Step-by-step explanation:
Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3
Parallel lines have the same slope, so the slope is -2.
The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
Given that, the equation of a line is 2x + y = 3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
Now, compare y=3-2x with y=mx+c, we get
Slope (m) = -2
So, slope of parallel to the line is m1=m2= -2
Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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HELPPS PLEASE FOR BRIANILIST
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
Answer the answer to your question is $7.50
Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?
Answer: 4 necklaces
Step-by-step explanation: 4/5 x 5 = 4
hope this helps
Answer:
Janet makes 2.4 necklaces in 1 hour
Step-by-step explanation:
first you need to find how many minutes it takes to make one necklace.
to do this, divide 20 by 4 and multiply by 5.
20/4 = 5
5 * 5 = 25
janet makes one necklace every 25 minutes.
one hour is 60 minutes.
60/25 = 2.4
Help with this please
Answer:
158
Step-by-step explanation:
Write an equation for the line parallel to g(x) = 4x + 5 and passing through the point (10,7). Write the answer in slope-intercept
form.
Answer:
y=4x-33
Step-by-step explanation:
the slope for parallel lines is the same so it would be 4
(y-y₁)=m(x-x₁)
(y-7) =4(x-10)
(y-7) =4x-40
+7 +7
y=4x-33
11. Use an inequality symbol (<,>, 2, =) to compare -26
54
A.
B. =
O C.<
O D.>
Answer:
c. less than symbol < because -26 is less than 54 because its far to the left from 54
A circular crop field has an irrigation system in which a pipe, with one end attached to a tower at the center of the field, turns continuously to deliver water. The horizontal distance, in meters, from the tip of the pipe to the farmhouse is represented by y = Equals 400 sine (StartFraction pi Over 8 EndFraction x + pi) + 500, where x represents time in hours.
What does the amplitude of this function represent?
A.the length of the pipe
B.the distance between the tower and the farmhouse
C.the time it takes for the pipe to complete one full circle
D.the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
Answer:
It A: the length of the pipe
Step-by-step explanation:
is math hard or easy. comment your answer
math is hard, but sometimes it can be easy
Answer:
a little bit of bth
Step-by-step explanation:
Write 0.00000000007 in scientific notation
HHhhHHHHEEEEEElLllLlpPpPp!!!!!
Answer:
7x10^-11
Step-by-step explanation:
You probably don't need this answer anymore.
38.5 divided by 0.5 simplified
Answer:
77
Step-by-step explanation:
38.5 ÷ 0.5 = 77
77 x 0.5 = 38.5
(think of 5 x 7)
0.5 x 70 = 35 (3.5 left)
0.5 x 7 = 3.5 (0 left)
70 + 7 = 77
If f(x) = 2(x - 5), find f(8).
4
6
8
16
Answer:
6
Step-by-step explanation:
So, eq. 8 in f(x)
f(8)=2(8-5)
=2(3)
Multiplying,
=6
Pls Mark me brainliest!!!
Answer:
if (x-5) is an exponent: the answer is 8
Step-by-step explanation:
Substitute:
f(8)=2(8-5)
f(8)=2(3)
f(8)=8
Learning Task 4. Solve the problem. Estimate the total amount. Mr. Cruz's monthly
income is P75,000.00. He divide his income to the following expenses:
Food: P 22, 450.89
Recreation: P5, 676.63
Clothes: P 15,670.25
Transportation: P 10,067.15
Step-by-step explanation:
Answer: 21,135.08
Step-by-step explanation: because
22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92
so now 75,000 - 53,864.92 = 21,135.08 that's it
que es suma y resta de fracciones homogeneas
Answer:
responder
Step-by-step explanation:
Para sumar y restar fracciones, sus denominadores deben ser iguales. Por tanto, sumar o restar fracciones homogéneas es más fácil, dado que ya tienen el mismo denominador.
Answer:
Recuerda que cuando se suman fracciones homogéneas se hace lo mismo que cuando se suman objetos del mismo tipo. Por ejemplo, la suma tres décimos más dos décimos da como resultado cinco décimos: , por la misma razón que sumar tres vacas más dos vacas da como resultado cinco vacas.
Step-by-step explanation:
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good explanation plz)
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.
Step-by-step explanation:
I need the answer plzz help me
Answer: A) a translation 3 units down
Step-by-step explanation: Notice how your y-values are decreasing by 3.
y-values only increase or decrease, so if they’re decreasing, they are going down.
Hope this helps!
giving brainliest ! :))
Answer:
I did this before ok gh and jk is 5
Step-by-step explanation:
Miss Rockwell surveyed her class and found that 12 out of 30 students chose peaches as their favorite fruit write the number of students who chose peaches as a fraction in the simplest form then write the fraction as a decimal
Answer: 8282828
Step-by-step explanation: I’m not sure
1) Qual a área lateral do prisma triangular regular, cuja aresta da base mede 5 cm e a altura 10 cm ? *
1 ponto
Imagem sem legenda
a) 50 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
2) Um prisma triangular regular tem a aresta da base igual à altura. Calcular a área total do sólido, sabendo-se que a área lateral de uma das faces é 10 m². *
1 ponto
a) 5 (√3 + 6) m²
b) 2√3 + 36 m²
c) 56 m²
d) 2 (√3 + 6) m²
Answer:
1) c) 150 cm²
2) a) 5 (√3 + 6) m²
Step-by-step explanation:
1) A fórmula para a área lateral do prisma triangular regular é
L.A = Perímetro × Altura
Perímetro = 3 × borda da base
L.A = 3 × 5 cm × 10 cm
L.A = 150cm²
Opção c. 150cm² é a opção correta²
2) Diz-se na pergunta que a área lateral de uma das faces = 10m²
A área lateral de todo o prisma = 3 × 10m²
= 30m²
Onde a borda da base = altura
A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base
Portanto, Altura = √10m
= Borda da base = √10m
A área de superfície total de um prisma triangular é:
2B + Ph
Ph = área de superfície lateral
B = Área de Base
2 (Área da Base) = 2( Borda da Base² × √3/4)
2 (Área da Base) = 2((√10)² × √3 / 4)
2 (Área de Base) = 2(10√3/4)
= 20√3/4
2 (Área da Base) = 5√3 m²
A área de superfície total de um prisma triangular é:
2B + Ph
= 5√3 m² + 30 m²
= 5 (√3 + 6) m²