All categories

1 year ago

(k^8+8k^2+10k+21) / (k+7)

Mathematics

1 answer:

Serga [27]1 year ago

5 0

Answer:

Step-by-step explanation:

$\frac{k^8+8k^2+10k+21}{k+7}$ is already simplified.

You might be interested in

Help me please!!! I’m going to fail

____ [38]

Answer:

x=12

Step-by-step explanation:

That's the right answer

5 0

3 years ago

Read 2 more answers

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

5 months ago

Jane wants to share her pizza with two friends. She wants to make sure they all get the same amount. How should she cut the pizz

Anna11 [10]

Answer:

Into 1/3 pieces

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum

3 0

3 years ago

Read 2 more answers

What are the answers ?

Anika [276]

If c = 8 and d = -5:

a) c - 3 = 8 - 3
= 5

b) 15 - c = 15 - 8
= 7

c) 3(c + d) = 3(8 + (-5))
= 3*3
= 9

d) 2c - 4d = 2(8) - 4(-5)
= 16 + 20
= 36

e) d - c^2 = -5 - (8)^2
= -5 - 64
= -69

f) 2d^2 + 5d = 2(-5)^2 + 5(-5)
= 50 - 25
= 25

5 0

3 years ago

6.<br> A. y=-13x1<br> or B. y = 1-3xl

IrinaVladis [17]

Answer: B

Step-by-step explanation

6 0

2 years ago