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Illusion [34]
3 years ago
8

NEED HELP QUICKLY! Giving 100 points, brainiest, thanks, and 5 stars to correct answer.

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

Step-by-step explanation:

Given the following statements

1. line RS || segment AB, ∠1=∠2

2. ∠B = ∠1

3. ∠A = ∠2

4. ∠A = ∠B

5. RA = RB

and the following reasons,

a) If lines ||, corresponding ∠'s are =

b) If two ∠'s of a triangle are =, sides opposite are =

b) If lines ||, alternate interior ∠'s =

c) Given

d) Substitution

we match the statements and the reasons to enable us prove the required proof.

Statement Reason

1. line RS || segment AB, ∠1=∠2 Given

2. ∠B = ∠1 If lines ||, corresponding ∠'s are =

3. ∠A = ∠2 If lines ||, alternate interior ∠'s =

4. ∠A = ∠B Substitution [because we are given that

∠1=∠2]

5. RA = RB If two ∠'s of a triangle are =, sides opposite are =

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The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha
zimovet [89]
The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

\\  \\ W_{t}=96(0.5)^{t}

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0
3 years ago
Read 2 more answers
Help help help help pls
Yanka [14]

Answer:

x - 3 > 10

Step-by-step explanation:

3 0
3 years ago
.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and
Leni [432]

Answer:

a) Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

b) t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

Step-by-step explanation:

Information given

\bar X=130 represent the sample mean for the amount spent each shopper

s=40 represent the sample standard deviation

n=80 sample size  

\mu_o =120 represent the value to verify

t would represent the statistic    

p_v represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

5 0
3 years ago
PLEASE HELP!!! I will give brainliest and give a shoutout for whoever answers this and if I don't, hold me accountable.
kolbaska11 [484]

Answer:

\frac{dy}{dx}  =  \frac{ \sin(y)  - y \cos(x) }{ \sin(x) - x \cos(y)  }

6 0
3 years ago
Help me with this question please
mojhsa [17]

Step-by-step explanation:

so, he will not wear any pants ? socks ? not to mention underwear ?

anyway, we have to deduct the $35 for the shoes, as he is seemingly buying them in any case.

so, we are left with 100 - 35 = $65 for shirts.

as one shirt costs $15, we need to see how often 15 fits into 65, as that is the answer how many shirts he can buy for this money.

65 / 15 = 4.333333333...

since he cannot buy a part shirt, we can only rely on the integer part of the calculation.

so, he can buy 4 shirts and will have $5 left.

8 0
2 years ago
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