MATHEMATICS COLLEGE

20 Points! Answer ASAP! Which statement is true about angles 1 and 2? (image below)A. They are adjacent angles
B. They are complementary angles
C. They are supplementary angles.
D. They are vertical angles.

Answers

Answer 1

Answer:

Answer:

A. They are adjacent angles

Step-by-step explanation:

Angles 1 and 2 are next to each other, that makes them adjacent angles

A They are adjacent angles (next to each other and share a side) True

B. They are complementary angles (add to 90 degrees) False- Angle 2 is 90 degrees)

C. They are supplementary angles. (add to 180) False, they do not form a straight line

D. They are vertical angles. (opposite angles) False, they are not made by intersecting lines

Answer 2

Answer:

Answer:

The answer is adjacent angles:)

Step-by-step explanation:

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Finding second Derivatives In Exercise,find the second derivate.
f(x) = 5e - x - 2e - 5x

Answers

Answer: The second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

Step-by-step explanation:

Since we have given that

$f(x)=5e^(-x)-2e^(-5x)$

We will find the first derivative w.r.t. 'x'.

So, it becomes,

$f'(x)=-5e^(-x)+10e^(-5x)$

Then, we will find the second derivative w.r.t 'x'. $f''(x)=5e^(-x)+10* -5e^(-5x)\n\nf''(x)=5e^(-x)-50e^(-5x)$

Hence, the second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

Determine whether the geometric series is convergent or divergent. 6 + 5 + 25/6 + 125/36 + ... If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Answers

The $n$ -th term in the series is 6 multiplied by the $(n-1)$ -th power of 5/6:

$a_1=6=6\left(\frac56\right)^(1-1)$

$a_2=5=6\left(\frac56\right)^(2-1)$

$a_3=\frac{25}6=6\left(\frac56\right)^(3-1)$

and so on.

$\displaystyle\sum_(n=1)^\infty6\left(\frac56\right)^(n-1)$

Consider the $N$ -th partial sum,

$S_N=\displaystyle\sum_(n=1)^N6\left(\frac56\right)^(n-1)$

$S_N=6\left(1+\frac56+\cdots+(5^(N-2))/(6^(N-2))+(5^(N-1))/(6^(N-1))\right)$

Multiplying both sides by 5/6 gives

$\frac56S_N=6\left(\frac56+(5^2)/(6^2)+\cdots+(5^(N-1))/(6^(N-1))+(5^N)/(6^N)\right)$

and substracting this from $S_N$ gives

$\frac16S_N=6\left(1-(5^N)/(6^N)\right)$

$S_N=36\left(1-\left(\frac56\right)^N}\right)$

As $N\to\infty$ , it's clear that the sum converges to 36.

Final answer:

The geometric series in the question is convergent with a common ratio of 5/6. Using the formula for the sum of an infinite geometric series, the sum of the series is found to be 36.

Explanation:

In mathematics, specifically in series, determining whether a geometric series is convergent or divergent is centered around the common ratio value. In terms of this particular series: 6 + 5 + 25/6 + 125/36 + ..., the common ratio is 5/6. Given this common ratio, it's clear that it falls between -1 and 1. Hence, this geometric series is convergent.

Once we establish it is a convergent series, we can calculate its sum using the formula for the sum of an infinite geometric series: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. Inserting the respective values a = 6 and r = 5/6, we get: S = 6 / (1 - 5/6) = 36. Hence, the sum of this infinite geometric series is 36.

Learn more about Geometric Series here:

brainly.com/question/34429025

#SPJ11

HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-

Answers

Answer:

32x-5

Step-by-step explanation:

6x^2-4x-5

36x-4x-5

32x-5

32x-5 would be the answer I’m pretty sure

What is 1 whole and 5/8 as a decimal

Answers

Answer:

1 whole and 5/8 as a decimal is 1.625

Answer: 1.265
Steps: Convert 1 5/8 to a improper fraction-> 13/5 and dived the numerator by the denominator. 13/5= 1.265

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is 0.88. The probability that a customer will order a hamburger is 0.53.
The probability that a customer will order french fries is 0.49.
Complete parts a and b below.
a. If a customer places an order, what is the probability that the order will include a soft drink and no fries, if these two events are independent? (Round to four decimal places as needed.)
The probability is____________.
b. The restaurant has also determined that, if a customer orders a hamburger, the probability the customer will order fries is 0.71.
Determine the probability that the order will include a hamburger and fries. (Round to four decimal places as needed.)
The probability is________

Answers

Answer:

A) P(soft drink, hamburger, no fries) = 0.1912

B) P(fries and hamburger) = 0.3763

Step-by-step explanation:

A) Probability that the order will include a soft drink, a hamburger and no fries is;

P(soft drink, hamburger, no fries) = P(soft drink) x P(hamburger) x P(no French fries)

P(soft drink, hamburger, no fries) = 0.88 x 0.53 x (1 - 0.49) = 0.88 × 0.53 × 0.41 ≈ 0.1912

B) we are told that;

P(fries|hamburger)=0.71

Since P(fries|hamburger) = P(fries and hamburger)/P(hamburger)

Thus;

0.71 = P(fries and hamburger)/0.53

P(fries and hamburger)= 0.71 *0.53

P(fries and hamburger) = 0.3763

Final answer:

Question a's answer is 0.4488 meaning there's a 44.88% chance a customer will order a soft drink and no fries. For question b, the answer is 0.3763 meaning there's a 37.63% chance that an order will include a hamburger and fries.

Explanation:

To calculate probabilities of independent events, you simply multiply the probability of each event happening.

For question a. the probability of ordering a soft drink is given as 0.88, and the probability of ordering fries is given as 0.49. However, we want the probability of ordering a soft drink and not ordering fries, which means we need to take the complement of the fries event (1-0.49) which is 0.51. Multiply the probability of ordering a soft drink (0.88) with the probability of not ordering fries (0.51):

0.88 x 0.51 = 0.4488

Therefore the probability of a customer ordering a soft drink and no fries is 0.4488.

For question b. we are given the conditional probability that a customer will order fries given they have already ordered a hamburger, which is 0.71. To calculate the joint probability of both events (hamburger and fries), we must multiply the conditional probability by the probability of the hamburger event:

0.71 x 0.53 = 0.3763

Therefore the probability of an order including a hamburger and fries is 0.3763.