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3 years ago

Find the equation of a line that is perpendicular to line g that contains (P, Q).

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

the answer is B

Step-by-step explanation:

im smart

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Solve for q(x) and r(x). (4x^3-3x^2+5x-7)/(x-2) = q(x)+ r(x)/(x-2)

4vir4ik [10]

By synthetic division,

q(x) = 4x^2 +5x +15

r(x) = 23

7 0

3 years ago

A factory inspector found flaws in 1 out of 15 wooden boxes. What is the experimental probability that the next wooden box will

NikAS [45]

First do 1/15=0.06
then 0.06 as a fraction is 6/100

6/100 can be turn into 3/50

3/50 is the answer :)

5 0

3 years ago

A plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane

serious [3.7K]

Answer:

357 passengers

Step-by-step explanation:

$\frac{x}{420}=\frac{85}{100}$ (The $\frac{85}{100}$ is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: $\frac{x}{21}=\frac{85}{5}$ which is $\frac{x}{21}=17$

Finally, multiply 17 by 21 to get x.

Therefore, x=357

3 0

2 years ago

You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and

White raven [17]

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

4 0

3 years ago

6. Write the explicit formula for the geometric sequence of the height of the ball on the 10th bounce.First bounce: 54 inchescom

Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

$\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}$

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

5 0

1 year ago