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3 years ago

Need help with this first one to answer gets branliest

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

-27

Step-by-step explanation:

Given: f(x)= -x^2+10x-16, g(x)= |11-2x^2|

f(9)= -(9)^2+10(9)-16

= -7

g(-5)= |11-2(-5)^2|

=39

Solve: 2[f(9)]-1/3[g(-5)]

= 2[(-7)] - 1/3[39]

= -27

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Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

Whole Lot If there are 7 bears in a room and they each hug each other once and only once, how many total bear hugs were there al

Dvinal [7]

1.They basically all did one big bug,not separate hugs with different bears.

3 0

2 years ago

An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many dif

maks197457 [2]

10M different codes are possible.

Probability Definition in Math-

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.

Learn more about probability

brainly.com/question/11234923

#SPJ4

8 0

2 years ago

Help and explain how you got it. no trolling or report!

Galina-37 [17]

Answer:

I am 100% confident in my calculations. I'm not 100% sure about interpreting. Sorry I can't be of more help.

Part A:

Median: 4.5

IQR: 3.5

Mode: 6

I think the median/IQR is a better measure of center and variability because the range of data is so big (10 - 0 = 10), and the data skews to the right with the 6s.

Part B:

I would say no. It is the one that occurs most frequently, but there are many more times she rides less than 6, which is why the median is 4.5

Step-by-step explanation:

Mean: 4.714

MAD: 2.43

Median: 4.5

IQR: 3.5

Mode: 6

the number set in order:

0, 2, 2, 2.5, 2.5, 3, 4, 5, 6, 6, 6, 8, 9, 10

The median (middle number) is two numbers: 4 and 5, so the median is 4.5

The first quartile/Q1 (middle of the bottom half of data) is 2.5, the third quartile/Q3 (middle of the top half of data) is 6. So the IQR (interquartile range) is 6 - 2.5 = 3.5

The mean is the sum of the numbers divided by the quantity of the numbers, so 66/14 = 4.714

the mean absolute deviation is found by calculating the mean, and then finding the absolute value of the difference between each number of the set and the mean...then adding those together and finding the mean of that set. Labor intensive, but that's 34/14 = 2.42857143

4 0

3 years ago

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he

Arturiano [62]

Total number of shares owned is 75 shares
value of each share=$50
value of 50 shares will be:
75*50=$3750
the dividend earned
8/100×3750
=$300

Answer: $300

3 0

3 years ago