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2 years ago

A football is kicked from the ground so that its height n (in feet) t seconds after being kicked is given by h(t) = –16+48t.

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

h(t) = –16+48t

h(32)=-16+48(32)

h(32)=-16+ 1536

h(32)= 1520seconds

Step-by-step explanation:

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Is 0.3x (4 - y) and - 1.2x - 0.3y equivalent

guapka [62]

Answer:

Inconsistent

Step-by-step explanation:

We are given the equations;

0.3y=0.6x+0.3

1.2x+0.6=0.6y

Assuming we are required to determine whether the system of equations are consistent or inconsistent

We are going to use substitution

Making y the subject;

Equation 1: 0.3y=0.6x+0.3

Dividing both sides by 0.3

y = 2x + 1

Equation 2: 1.2x+0.6=0.6y

Dividing both sides by 0.6

y = 2x + 1

This means both equations are similar and we can't get a solution.

Therefore, the system of equations is inconsistent.

6 0

2 years ago

I NEED URGENT ASSISTANCE

Nata [24]

Answer:

8 C sometimes

9 64x^8 y^11

10 c 1.28r^2/ t^9

Step-by-step explanation:

Algebraic Operations

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

Answer: C sometimes

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

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maks197457 [2]

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3 years ago

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Diano4ka-milaya [45]

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