All categories

3 years ago

(6p+ 15) + (10p-9) O A. 16p- 6 OB. 16p+ 24 O C. 16p+ 6 O D. 6p+ 6

Mathematics

2 answers:

Alja [10]3 years ago

8 0

16p+6

Add 10p and 6p to get 16p
And add 15+-9 to get 6
(Adding a negative and positive number is like subtracting like in this example it is like saying 15-9)

Vlada [557]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

What is the answer?ppphsusudhdhd

nevsk [136]

6x+3+5x+1=180
x=16
(5*16)+1=81
1=81

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3D%281-0.08%29%5E%7B%5Cfrac%7B1%7D%7B12%7D%20%7D%20%5E%7B%2812t%29%7D" id="TexFormula

oksano4ka [1.4K]

Answer:

See Below.

Step-by-step explanation:

We have:

$\displaystyle f(x)=(1-0.08)^{\frac{1}{12}(12t)}$

First, we can subtract within the parentheses:

$f(x)=(0.92)^{\frac{1}{12}(12t)}$

By the properties of exponents:

$f(x)=((0.92)^\frac{1}{12})^{12t}$

Approximate. Use a calculator:

$f(x)\approx (0.993)^{12t}$

Notes:

0.993 is only an approximation, hence the approximately equal sign.

I'm not given the context of the problem, but it's simpler to just simplify in the exponent like so (the fractions cancel):

$\displaystyle f(x)=(1-0.08)^{\frac{1}{12}(12t)}=(0.92)^t$

Full Problem:

The value of Sara's car decreases at a rate of 8% per year.

We will use the exponential decay formula with a set time, given by:

$f(x)=a(r)^{x/d}$

Where a is the initial value, r is the rate, x is the time that has passed (dependent on d), and d is the amount of time for one decrease.

For this problem, we can ignore the initial value.

And since the value decreases at a rate of 8% per year, r = 0.92 (we acquire this from 1 - 0.08).

Part 1) Per Month:

Since it decreases per month, d = 12.

$f(x)=(0.92)^{x/12}$

Approximate:

$f(x)=((0.92)^{1/12})^x\approx(.993)^x$

In this case, x is measured in months.

Part 2) Per Week:

Since it decreases per week, d = 52.

$f(x)=(0.92)^{x/52}$

Approximate:

$f(x)=((0.92)^1/52)^x\approx (.998)^x$

In this case, x is measured in weeks.

Part 3) Per Day:

So, d = 365.

$f(x)=(0.92)^{x/365}$

Simplify:

$f(x)=((0.92)^{1/365})^x\approx(.999)^x$

In this case, x is measured in days.

Part 4)

So, as d increases, our r increases as well.

Therefore, the smaller the time interval (from months to weeks to days), the higher our rate of decrease is.

8 0

3 years ago

What is this math question -22a =462

Lerok [7]

Answer:

a = -21

Step-by-step explanation:

-22 x -21 = 462

6 0

3 years ago

A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest

Minchanka [31]

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.

Replacing with the values given:

65^2 = 16^2 + x^2

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

A box contains light bulbs. Each light bulb is the same size and shape.

blondinia [14]

Answer is 21.4 %

Used a probability tree diagram.

8 0

2 years ago