Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45​

Answer:

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

Step-by-step explanation:

From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:

[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height of the ball, measured in feet.

[tex]a[/tex] - Second order coefficient, measured in feet per square second.

[tex]b[/tex] - First order coefficient, measured in feet per second.

[tex]c[/tex] - Zero order coefficient, measured in feet.

From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:

[tex]A(t, h)= (0\,s,192\,ft)[/tex]

[tex]c = 192\,ft[/tex] (Eq. 2)

[tex]B(t,h) = (1\,s,240\,ft)[/tex]

[tex]a+b+c = 240\,ft[/tex] (Eq. 3)

[tex]C(t,h) =(6\,s,0\,ft)[/tex]

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)

By Algebraic methods, we get this unique solution:

[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

Answer:

9

Step-by-step explanation:

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

Answer:

the answer to your question is A and D i just got it right

Step-by-step explanation:

i hope this helps your welcome

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1

StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h

Answer:

A and D

Step-by-step explanation:

correct on edge

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

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Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

Answer:3

Step-by-step explanation:

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

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See attachment for math work and answer.

Answer:

false

Step-by-step explanation:

15 is a larger number than -16

Answer:

A

Step-by-step explanation:

A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.

Which triangle has 0 reflectional symmetries to determine.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure.  So it is impossible to find any axis of symmetry within the triangle

Thus,  a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.

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Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Length of the rope holding Kayla to the boat = 240 meters

Horizontal distance of Kayla from the boat = x = 181 meters

Let the distance of Kayla above the boat = y meters

Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,

x² + y² = (240)²

(181)² + y² = (240)²

y = [tex]\sqrt{57600-32761}[/tex]

  = [tex]\sqrt{24839}[/tex]

  = 157.6 meters

Therefore, vertical distance between Kayla and boat is 157.6 meters.

Option (4) will be the answer.

Answer:

4/5

Step-by-step explanation:

rise/run is the slope

Answer:

its the 4th one

Step-by-step explanation:

x<-70

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

Answer:

-2

Step-by-step explanation:

f(2): take the (2) from the f(2) because that's the x value.

you go to where it's 2 on the x-axis.

f(x)=f(2)

f(x)=y

so you are trying to find the y-axis number when you are at 2 on the x-axis.

whichhh is -2

Answer:

Step-by-step explanation:

10 i

es esto

Answer:

Step-by-step explanation:

M is less than or equal to 1

Answer:

we need to know what the question is.

Step-by-step explanation:

Answer:

10 in

Step-by-step explanation:

The length, height and width of a cube are always equal. Therefore, the length of one side of the storage container can be any of the side length of the cube.

Volume of cube is given as a³. Where, a = length of one of the sides

Given that the storage container has a volume of 950 in³, side length of one side is:

[tex] 950 = a^3 [/tex]

[tex] \sqrt[3]{950} = \sqrt[3]{a^3} [/tex]

[tex] \sqrt[3]{950} = a [/tex]

[tex] 10 = a [/tex] (nearest integer)

Length of one side = 10 in

Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

Answer:

The mean is 15 pages a day.

Step-by-step explanation:

105/7=15

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]

[tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]

Answer:

4.995

Step-by-step explanation:

Answer:

the answer should be 7a^3-4a^2-2a-87

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped