In which of the following units is acceleration expressed? A. Kilograms
B. Meters per second squared
C. Foot-pounds
D. Newtons

Answers

Answer 1
Answer: The question is,' in which of the following unit is acceleration expressed. The correct option is B. Acceleration is defined as the rate of change of velocity per unit time. The unit of velocity is meter per second while the unit of time is second, therefore, the unit of acceleration is meter per second per second or meter per second squared [m/s2].
Answer 2
Answer:

your answer is B. Meters per second squared

i just took the test


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What is the 51st term of the sequence below? -7,2,11,20

What is the 22nd term of the sequence below?
-9,-3,3,9

Answers

first determine whether arithmetic sequence or geometric

both seem to be arithmetic

first one
adds 9
starts with -7
an=a1+(n-1)d
a1=first term
d=common difference
an=-7+9(n-1)
51 term is
a51=-7+9(51-1)
a51=-7+9(50)
a51=-7+450
a51=443

51term is 443




adds 6 every times
starts with -9
an=-9+6(n-1)
22nd term
a22=-9+6(22-1)
a22=-9+126
a22=117
22nt term is 117

Solve the equation. Show your work.
1/a =6/18

Answers

Hey there, we cross mutliply, 1*18=6*a=18=6a, we flip the equation to 6a=18, divide both sides by 6, 6a/6=18/6. We come up with a answer of a=3

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.

Answers

Use the equation y = mx +c
y = 2/3x +c              Substitute the slope (m) in
5 = 2/3(-2) +c          Substitute the point (-2,5)
5 = -4/3 +c               Make C the subject
c = 19/3

y = 2/3x + 19/3        This is the equation of the line.

Next you start subbing the points A and B in separately, using the same equation.

Subbing A(x, 3)
3       = 2/3x + 19/3         Make x the subject to find it.
-10/3 = 2/3x
     -5 = x

The point A is (-5,3)

Subbing B(-2, y)
y = 2/3(-2) + 19/3           y is already the subject and you just solve it
   = -4/3 + 19/3
y = 5

The point B is (-2, 5)

I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<

Answer:

(x) = -5 (y) = 5

There are 3 feet in each yard. Complete the table to show the number of feet in 1, 2, 3, and 4 yards.

Answers

Answer:

1 yard = 3 feet

2 yard = 6 feet

3 yard = 9 feet

4 yard = 12 feet

Answer:

1 yard-3 feet

2 yards-6 feet

3 yards-9 feet

4 yards-12 feet

Step-by-step explanation:

The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x. She earns the same amount of commission per car each week. Which situation could be described by this expression?Jessie earned a total commission of $800 in the first week and x dollars in the second week.


Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.



Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.



Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.

Answers

If Jessie earns the same commission on every car, the 400x part of the equation suggests she earns $400 on each car. If that is the case, in the first week she must have sold 2 cars because 800 / 400 = 2. So Jessie sold 2 cars in the first week and x number of cars in the second week, earning $400 per car.

Answer:

B

Step-by-step explanation:

Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

Determine the general solution of:

sin 3x - sin x = cos2x

Answers

sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....