i just need to know if this is correct and if i need to fix anything

Step-by-step explanation:

[tex]6 \cos {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6(1 - sin {}^{2} x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 6 \sin {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 2 \sin { }^{2} (x) = 5[/tex]

[tex] - 2 \sin {}^{2} (x) = - 1[/tex]

[tex] \sin {}^{2} (x) = \frac{1}{2} [/tex]

[tex] \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

Take the arc Sine of the function

[tex]arcsin( \frac{1}{ \sqrt{2} } ) = \frac{\pi}{4} [/tex]

Finally, Sine is a periodic function so it has two answers within the interval (0, 2 pi)

Use the identity

[tex] \sin(x) = \sin(x + \pi) [/tex]

We know that

[tex] \sin( \frac{\pi}{4} ) = \frac{1}{ \sqrt{2} } [/tex]

so using the identity

[tex] \sin( \frac{\pi}{4} + \pi ) = \sin( \frac{5\pi}{4} ) [/tex]

So we have two answers.

[tex]( \frac{\pi}{4} )[/tex]

[tex]( \frac{5\pi}{4} )[/tex]

[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]

Answer:

intrest=principle*rate* time

Step-by-step explanation:

Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

Answer:

It would be between the 0 and the 1 on the horizontal line

0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there

Answer:

500 < c < 1,700

Step-by-step explanation:

Answer:

$2009.88

Step-by-step explanation:

767.56+598.99+643.33 = $2009.88

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

Answer:

Step-by-step explanation:

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

Answer:

1:Cubic

2:5a and the value in the 2a is a exp.

3:Quintic

Step-by-step explanation:

Im sure this answer is correct

An expressions equated to another expression is called an equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given that a = 5, hence:

2a + 5

substituting values:

2(5) + 5 = 10 + 5 = 15

2a + 5 = 15

The sum of twice and four times of the variable x is 2x + 4x = 6x

Find out more on equation at: https://brainly.com/question/2972832

Answer:

short ppl

Step-by-step explanation:

if u 62 inches u short as hell

Answer:

i believe its 58%

Step-by-step explanation:

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Therefore, the answer is 17/20.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

3(2q+1)

Step-by-step explanation:

6q+2

3(2q+1)

Answer:SORRY CANT HELP U THERE

Step-by-step explanation:

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

(-4v-5)-(v-1)= -5v-4

Step-by-step explanation:

hope it helps :D

Answer:

ok you want to come then come here

Answer:

$132.74

Step-by-step explanation:

6.75% = 0.0675

Multiply 124.35 by 1.0675 because sales tax is added to original cost.

(124.35)(1.0675) = 132.74

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

The percentage is the value per hundredth.

According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.

∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

learn more about percentage here :

https://brainly.com/question/24159063

#SPJ5

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

Learn more about maths in https://brainly.com/question/20010402

Answer:

Sequence sum? but it has no right sequence

Answer:B

Step-by-step explanation:

20/5 = 4

4 x 3 =12

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

Answer:

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

Answer:

Step-by-step explanation:

200 divides into 1000 so that is part of the HCF.

x^2 and x^3 are present so the HCF contains x^2

y^2 and y^5 are present so the HCF contains y^2

HCF = 200*x^2 * y^2

Answer: The volume(v) is 438.77.

Explanation: The formula for a right circular cone is in the image.

Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.

Marion read 616 pages and did this in 14 days.

She read the same number of pages each day so the number of pages read per day was:

= Number of pages read in total / Number of days

= 616 / 14

= 44 pages

In conclusion, she read 44 pages per day.

Find out more about divisional problems at https://brainly.com/question/13417862.