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3 years ago

What is the length of AC¯?

Mathematics

2 answers:

xeze [42]3 years ago

7 0

x+4 = 3x-8

x+12 = 3x

12 = 2x

x = 6

AC = x = 6

liberstina [14]3 years ago

4 0

X+4=-4
3x-8=-8

Hope it helps.

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Click the picture that I sent you

Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

$.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}$

5 0

3 years ago

The graph of f (0) = -4 cos 0 is shown below. The range of this function is

Anika [276]

Answer:

-4 ≤ f ( $\theta$ ) ≤ 4

Step-by-step explanation:

The range of a function is the allowed y-values of the function.

We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.

We can say -4 ≤ f ( $\theta$ ) ≤ 4

Last answer choice is right.

*** <u>NOTE:</u> it is a type, not "0", rather " $\theta$ "

5 0

2 years ago

A shop has 15% sale. Originally a computer cost £275. How much does the computer cost in the sale?

Kaylis [27]

Answer:

= 233.75

Step-by-step explanation:

To find the discount, we multiply the original price by the percent off

discount = 275* .15

= 41.25

To get the sale price, take the original price and subtract the discount

sale price = 275-41.25

= 233.75

4 0

2 years ago

It's really hard for me to understand what they are asking.

Gekata [30.6K]

Answer:

B is the correct answer

Step-by-step explanation:

Angles 1, 2, and 3 added together should make 180 degrees.

So, if angle 2 is 70 degrees, you subtract 70 from 180 (180-70=110) and you're left with 110 degrees.

Angle 1 and 3 add together should make 110 degrees which makes B the only true statement.

3 0

2 years ago

HELP HELP HELP First to HELP gets the brainliest :D

jasenka [17]

Answer:

$y= -\frac{1}{3}x -6$

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

7 0

2 years ago

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