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3 years ago

Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.

1 answer:

5 0

Hi! C and D are not the answers, because they do fall downward and with the force of gravity. It does fall with an acceleration of -10 m/s. The object actually falls faster as it gets closer to ground and above 10 m/s, so the speed is not constant. The answer is A.

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the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the

Brums [2.3K]

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

6 0

3 years ago

Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulti

ss7ja [257]

Answer:

The alcohol concentration of the resulting solution is 58.4%

Step-by-step explanation:

- At first we must to find the quantity of pure alcohol in the 8 liters

∵ The alcohol concentration is 48% in 8 liters

∴ The quantity of pure alcoholic = $\frac{48}{100}*8=3.84$ liters

- She added 2 liters pure alcohol to the solution that means the solution

increased by 2 liters and alcohol quantity increased by 2 liters

∵ She added 2 liters pure alcohol

∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters

∴ The resulting solution = 2 + 8 = 10 liters

- Now we need to find the concentration of alcohol in the resulting

solution

∵ The quantity of pure alcohol = 5.84 liters

∵ The resulting solution = 10 liters

∴ The concentrate of alcohol = $\frac{5.84}{10}*100$ % = 58.4%

The alcohol concentration of the resulting solution is 58.4%

5 0

3 years ago

Read 2 more answers

What is x in the equation in -4(3x+7)= 4

Nana76 [90]

Answer:

-12x-28=4

-12x=32

x=-16/3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.

Sindrei [870]

Answer:

y= -3x +6

Step-by-step explanation:

<u>slope-intercept form</u><u>:</u>

y=mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -3, m= -3.

Susbt. m= -3 into the equation:

y= -3x +c

Since the line passes the point (4, -6),

(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.

y= -3x +c

when x=4, y= -6,

-6= -3(4) +c

-6= -12 +c

c= 12 -6

c= 6

Hence, the equation of the line is y= -3x +6.

7 0

2 years ago

A model of a lighthouse is 2 inches wide at its base and 6 inches tall. If the actual lighthouse is 30 feet wide, what is the ap

lubasha [3.4K]

Answer:

Step-by-step explanation:

just multiply 6 time 90 which gives you 180

6 0

3 years ago