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3 years ago

Help ASAP PLEASE!!!!!!!!!!!!!!!

Mathematics

1 answer:

RUDIKE [14]3 years ago

7 0

Have you thought for yourself which of the given possible answers would be most likely to be correct? f(n) = -1.2n + 38.1 is the equation of a straight line, and the slope of this graph is -1.2.

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1.) A projectile launched straight up into the air with an initial velocity of 20 meters per second from a height of 10 meters.

Dafna1 [17]

Hello,

I have just answered the question

gravity on earth :g=9.81 m/s²

$h(t)=-\frac{g*t^2}{2}+v_{0}*t+h_{0}$
9.81/2≈4.9
$v_{0}\ is\ initial\ speed$
$h_{0}\ is\ initial\ height$

Answer 1

2)
h(t)=-4.9*t²+20*t+10

To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²

t=(-20-4√35)/(-4.9*2)=4,4555...(s)

t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)

4 0

3 years ago

A radical whose radicand is not a perfect power is a rational number

Daniel [21]

<span>A perfect power is a positive integer that can be expressed as an integer power of another positive integer.
More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that $m^k = n$ .

Sometimes, some fractional or decimal radicants are not perfect power, yet they evaluate to a terminating decimal or recalling decimal.

Example: 6.25 is not a perfect power, but $\sqrt{6.25}=2.5$ .

Therefore, </span><span>A radical whose radicand is not a perfect power is a rational number</span> SOMETIMES.

4 0

3 years ago

Read 2 more answers

How do you do this problem? Simple and concise explanation, please!

natita [175]

Step-by-step Answer:

This is a problem of partial fractions.

Step 1:

factor all denominators on the left-hand side (LHS).

LHS = a/[(x+1)(x-1)] + x/[(x-3)(x+1)]

Note the common factor (x+1) in both denominators, which makes the combined/common denominator [(x+1)(x-1)(x-3)]

Step 2:

multiply each term, top and bottom, by the factor "missing" from the common denominator.

The first term is missing (x-3), the second term is missing (x-1)

a(x-3)/[(x+1)(x-1)(x-3)] + x(x-1)/[(x+1)(x-1)(x-3)]

which can be simplified to:

[a(x-3)+x(x-1)]/[(x+1)(x-1)(x-3)]

Expand numerator:

[x^2 + ax-x -3a]/[(x+1)(x-1)(x-3)]

Step 3:

For the two expressions on each side of the equal sign (LHS and RHS) to be equivalent (for ALL values of x), the numerators and denominators must be identical when expanded, so

For denominator, we have factors [(x+1)(x-1)(x-3)], or b,c,d = -3, -1, 1 (in ascending order).

For the numerator, we need to have LHS = RHS

x^2 + (a-1)x -3a = x^2 + 2x -9

putting a=3 gives the

LHS = x^2 + (3-1)x -3(3) = x^2 + 2x - 9 which makes equality with the RHS.

So we have solved for all values required.

6 0

3 years ago

If 15 workers can paint 18 houses in 24

Rasek [7]

Answer: 11

Step-by-step explanation:

If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?

--------------

# of days are inversely related to # of workers and directly related

to # of houses.

--------------

d = kh/w

---

Solve for "k" using "15 workers can paint 18 houses in 24 days"

24 = k*18/15

k = 15*24/18 = 15*(4/3) = 20

--------------

Equation:

d = 20h/w

---

Solve: How many days will 40 workers take to paint 22 houses?

d = 20*22/40

d = 11 days

6 0

3 years ago

To which subset of real numbers does the number 1/4 belong

g100num [7]

Answer:

1/4 belongs to b. irrational numbers

Step-by-step explanation:

If you converted it into a decimal, it would only be .25.

If it was a number like pi, then it would be an irrational number because is no end.

4 0

4 years ago