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3 years ago

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Usimov [2.4K]3 years ago

7 0

Answer:

lololol

Step-by-step explanation:

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The equation $y=-4.9t^2+3.5t+5$ describes the height (in meters) of a ball thrown upward at $3.5$ meters per second from $5$ met

Georgia [21]

Answer:

Step-by-step explanation:

The position function is

$s(t)=-4.9t^2+3.5t+5$ and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.

$0=-4.9t^2+3.5t+5$ and factor that however you are currently factoring in class to get that

t = -.71428 seconds or

t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).

We all know that time will never be a negative value, so the time it takes this ball to hit the ground is

1.42857 seconds (round how you need to).

4 0

3 years ago

Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles. 40

Lisa [10]

Answer:

$\frac{40}{4}$

Step-by-step explanation:

The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:

$\frac{40 tiles}{4} = 10 groups$

Therefore, the expression modeled by the arrangement of the tiles is $\frac{40}{4}$

6 0

3 years ago

Read 2 more answers

Question 7 Unsaved A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes?

jeyben [28]

Let the price be p. Then 1.10p = $8.25. Solving for p, p = $750 (answer)

4 0

3 years ago

Read 2 more answers

Determine the slope from the following order pairs:<br> (0,3) (3,-1)

liq [111]

Use slope formula
y^2-y^1/x^2-x^1

the answer is -4/3

3 0

3 years ago

"You are dating Moon rocks based on their proportions of uranium-238 (half-life of about 4.5 billion years) and its ultimate dec

Olenka [21]

Step-by-step explanation:

a.

Initial mass of the isotope = x

Time taken by the sample to decay its mass by 41% = t

Formula used :

$N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}$

where,

$N_o$ = initial mass of isotope = x

N = mass of the parent isotope left after the time, (t) = 59% of x = 0.59x

$t_{\frac{1}{2}}$ = half life of the isotope = 4.5 billion years

$\lambda$ = rate constant

Now put all the given values in this formula, we get

$0.59x=x\times e^{-(\frac{0.693}{\text{4.5 billion years}})\times t}$

t = 3.4 billion years

The age a rock is 3.4 billion years.

b.

Initial mass of the isotope = x

Time taken by the sample to decay its mass by 35%= t

Formula used :

$N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}$

where,

$N_o$ = initial mass of isotope = x

N = mass of the parent isotope left after the time, (t) = 65% of x = 0.65x

$t_{\frac{1}{2}}$ = half life of the isotope = 4.5 billion years

$\lambda$ = rate constant

Now put all the given values in this formula, we get

$0.65x=x\times e^{-(\frac{0.693}{\text{4.5 billion years}})\times t}$

t = 2.8 billion years

The age a rock is 2.8 billion years.

5 0

3 years ago