All categories

2 years ago

Divide (x^2+10x+30)/(x+5)

Mathematics

1 answer:

Goryan [66]2 years ago

6 0

Write it as a fraction

11x + 32

X + 3

You might be interested in

2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

4 months ago

A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan

Talja [164]

Answer:

Total discount = $39.50

or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes. She is getting 30 percent off the 65 dollars.

Discount = price * percent off

= 65*.3

= 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

= 45.50

To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

= 39.50

To find the total percent discount, we use the formula

total percent discount = (original - final)/original * 100

= (85- 45.50)/85 * 100

= 39.5/85*100

= 46.47%

4 0

3 years ago

Need help,please and thank you

Daniel [21]

X=90 which (180-90) is 90 for m and n

4 0

2 years ago

A line has a slope of -6. Which of the following could describe two points on the line?

MrRa [10]

Answer:

A is the answer just did the quiz

5 0

2 years ago

What is x in 3x-7=5x+13

Elodia [21]

3 x - 7 = 5 x + 13

3 x - 5x = 13 + 7

-2x = 20

x = 20 / -2

x = - 10

7 0

2 years ago

Read 2 more answers