A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

Answer:

2cos2x

Step-by-step explanation:

Using the Chain rule

[tex]\frac{d}{dx}[/tex] (sin2x)

= cos2x × [tex]\frac{d}{dx}[/tex] (2x)

= cos2x × 2

= 2cos2x

Answer: No, this relation is not a function.

Step-by-step explanation: Beca the x’s value’s repeat

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

The given equation is:

ax  +  4  =  5x   +  b

To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation

4a  +  4  =  5(4)  +  b

4a  +  4   =  20  +  b

Collect like terms

4a  -  b  =  20  -  4

4a  -  b   =   16

Since there are two unknowns in just a single equation, the equation has more than 1 solution.

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

Learn more on linear equations here: https://brainly.com/question/13763238

Answer:

29/48

Step-by-step explanation:

3 5/8  Divided By 6= 29/48

Dividing fractions is simple if you know what to do, and how to multiply.

Here's how:

-----------------------------

1. convert any whole number or mixed number into a fraction.

6 = 6/1.

Whole number x denominator + numerator = 29/8

 (3)                              (8)                       (5)         (answer/original denominator)

-----------------------------

2. Keep, Change, Flip (KCF)

29             1

__      x     __

8                6

With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.

---------------------------------------

3. Multiply numerators and denominators

29 x 1 =      29

                  __

8 x 6   =     48

29/48 is in it's simplest form.

Hence, your answer.

Answer:

-$33

Step-by-step explanation:

KAREN now ows money to the bank

Answer:

67-63x

Step-by-step explanation:

Answer:

chicken tender

Step-by-step explanation:

rgerr

Answer:

Step-by-step explanation:

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

Answer:

Its correct

Step-by-step explanation:

Answer:                        

A    

Step-by-step explanation:

Answer:

I'm pretty sure it's B. 15.8%

Step-by-step explanation:

It's closest to 3 and there is a difference of 3 between 19 and 16

Step-by-step explanation:

11x-4<15

11x<15+4

11x<19

x<1

Answer:

3

Step-by-step explanation:

cool

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x.     -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

Answer:

I dont know your answer

Step-by-step explanation:

Because i dont

Answer:

y+4=-5/6(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-5/6(x-8)

y+4=-5/6(x-8)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

Step 1: 10 group(s) of 23 = 230

Step 2: 6 group(s) of 23 = 138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but  with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!

Answer

From the results, we can conclude:





​

230=23×10

138=23×6

​

Therefore:



Step 1: 10 groups of 23 = 230

Step 2: 6 groups of 23 = 138



Step 3: Add the partial quotients: 10 + 6 = 16

answer 10 + 6 = 16

Question 1

Explanation: The notation "2,3" tells us to go to row 2, column 3. The value 7 is at this location.

====================================================

Question 2

Explanation: The dimensions refer to the number of rows and number of columns. In this case, we have 3 rows and 4 columns. The number of rows is always listed first.

====================================================

Question 3

This is something you'll have to answer yourself because it will be based off your personal experiences. There is no right answer, so feel free to answer however you wish.

Answer:

4

Step-by-step explanation:

Answer:

2 x 2 = 4

Step-by-step explanation:

if you count 2 2 times then you would get 4. EASY

they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023

Answer:

108 g of water

Hope This Helps!!!

Answer:

10

Step-by-step explanation:

2+(2x4)

2x4=8

2+8=10

Answer:

10

Step-by-step explanation:

so we need to use PEMDAS

2×4=8

8+2=10

The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

The domain is the all inputted value for which the function is defined. All the x values are domain of a function.

Now, finding the domain of the function,

We know that, the number of cars cannot be negative, so

[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]

The number of cars should be greater than 0, so x > 0.

So, the domain will be [0, 40].

The maximum value is given by putting x = 0,

[tex]f(0)=120-3(0)\\=120[/tex]

The minimum value is given by putting x = 40,

[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]

Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

To learn more about the Domain of Functions visit here:

https://brainly.com/question/1369616

#SPJ1

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

Answer:

18

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

5/6

Step-by-step explanation: