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2 years ago

7

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art

project. How many inches long was the piece Anthony have to his brother?

1 answer:

AleksAgata [21]2 years ago

6 0

I’m pretty sure the answer is 8 inches, mark as brainleist pls :)

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A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32

olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

32*t = 32

t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0

3 years ago

What is the smallest positive integer n > 1 for which fewer than 1% of the positive integers less than n are factors n?

disa [49]

its 34 boy im telling you

5 0

2 years ago

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

SVETLANKA909090 [29]

Answer: c

Step-by-step explanation:

Because the total should be at the end plus how much pounds it is so c

6 0

2 years ago

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Nimfa-mama [501]

You can see the trapezoid in the attached picture.

The data given in the problem are:
KF = 10
LK // MF
A(KLMF) = A(FMN)

We know that KLMF is a parallelogram because:
LM // KF (bases of the trapezoid)
LK // MF (hypothesis).
The area of a parallelogram is given by the formula:
A(KLMF) = b × h
   = KF <span>× h</span>
               = 10 × h

The area of a triangle is given by the formula:
<span>A(FMN) = (b × h) / 2
   = (FN </span>× h) / 2

The problem states that the two areas are congruent, therefore:
A(KLMF) = <span>A(FMN)
</span>10 × h = FN <span>× h / 2
10 = FN </span><span>/ 2
FN = 20

Therefore we can calculate:
KN = KF + FN = 10 + 20 = 30

Hence, KN is 30 units long.</span>

3 0

2 years ago

3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)

SOVA2 [1]

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

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2 years ago