In a bar graph space between rectangles is always​

The motion of the rock thrown from the cliff which goes downwards due to

the gravitational force, is a free fall motion.

Reasons:

The given function that represents the height of the of the rock in feet x seconds after being thrown is; f(x) = 16·x² + 4·x + 125

At the initial height before being thrown from the cliff, we have;

The time, x = 0

The initial height is therefore;

The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125

125 represents A. The initial height of the rock

Learn more about motion under gravity here:

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Answer:

ABC

Step-by-step explanation:

Colinear means on the same line, and you can tell ABC are all on the line in the middle of the parallelogram. Another way to do this if you don't know what colinear means is to look for the similarities between the points. The only similarity between any of the points is that three are on the same line, meaning they must be colinear and have the right answer.

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Answer:

x=1

Step-by-step explanation:

3(x + 4) = 5(x + 2)

3x+12=5x+10

2x=2

x=1

Answer:

X=1

Step-by-step explanation:

3/x+2 = 5/x+4

3/(1+2) = 5/(1+4)

3/3 = 5/5

3/3=1

5/5=1

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

y = -3x + 7 (above)

Step-by-step explanation:

To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.

We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7

Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.

Plugging that in,

y = -3x + 7

Answer:

Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]

Step-by-step explanation:

[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]

X = 4 – 1 = 3

Y = 4 – 2 = 2

[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

When x=0, y = 1.3333333333333

When y=0, x = -2

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

The approximate breakeven points of the given functions are 15 and 47.

The breakeven point is the point where the total revenue equals to total expenses.

At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.

From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.

Thus, the approximate breakeven points of the given functions are 15 and 47.

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Answer: 15 and 47

Step-by-step explanation:

Hope you could get an idea from here.

Doubt clarification - use comment section

Answer:

Step-by-step explanation:

Expand

-4 + 6px + 18 + 3p = 9p + 9 + 5

Simplify

14 + 9p = 9p + 14

Solve

Take away 14 from both sides

9p = 9p

p = p

p = 0

Step-by-step explanation:

as shown in the photo

p equals to p

Answer:

∠ LKJ = 64°

Step-by-step explanation:

Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is

∠ J = ∠ L = 58° , then

∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°

Answer:

The difference between the maximum and the minimum temperature on that day is [tex]18^0C[/tex]

Step-by-step explanation:

The maximum temperature of an island was recorded [tex]15.5^0C[/tex]

The minimum temperature was recorded [tex]-2.5^0C[/tex]

Difference in temperature

[tex]=15.5--2.5\\\\=18^0C[/tex]

Answer:

the difference between 15.5 and -2.5 is 18

Step-by-step explanation:

Answer:

110x3.5=385

Step-by-step explanation:

I HOPE THIS HELPS!!!!

Answer:

56.52 km

Step-by-step explanation:

You can use this formula to find the circumference.

[tex]C =\pi \:d[/tex]

Here,

C = circumference

d =  diameter

Let us solve now.

[tex]C =\pi \:d[/tex]

C = 3.14 × 18 km

C = 56.52 km

Hope this helps you.

Let me know if you have any other questions :-)

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

=============================================================

Explanation:

Ignore the stems. We count out the number of leaves

So we have a total of 3+5+4+3 = 15 leaves which correspond to 15 data values.

Answer:

the fourth one.. y = 3/4x + 4

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Answer: 0.71429

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

5 cups of dried fruit?

Step-by-step explanation:

unless something is missing it's 5  cups

Answer:

1200000

Step-by-step explanation:

First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes

Then just do 2500 dollars * 480 minutes = 1200000

Answer:

$1,200,000

Step-by-step explanation:

We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000

We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.

I hope this helps have a great day and happy holidays :)

Answer:

24 !!

Step-by-step explanation:

Simple, x got doubled, and since y varies directly as x, 12 doubled = 24. I hope this helps!!!

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Answer:

120 [cm²].

Step-by-step explanation:

1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);

2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];

3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];

4) finally, the required area is: A=96+24=120 [cm²].

all the details are provided in the attachment.

Answer:

Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

j

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 - 70 = 110

110 = 12x + 2 + 15x

108 = 27x

108 : 27 = 4°

4 * 15 = 60° is your answer

check

15 * 4 + 12 * 4 + 2 + 70 = 180

60 + 48 + 72 = 180

the answer is good

Answer:

b = (a/16) - 4

Step-by-step explanation:

a = 16(b + 4)

a = 16b + 64

16b + 64 = a

16b = a - 64

16b/16 = (a/16) - 64/16

b = (a/16) - 4

Answer:

b = a/16 - 4.

Step-by-step explanation:

a=16(b+4)

b+4 = a/16

b = a/16 - 4.

Answer:$1375 in interest and $6875 total.

Step-by-step explanation:

Answer:

Step-by-step explanation: