Find all solutions to the equation.
cos x = sin x (6 points)

Answer:

1/6

Step-by-step explanation:

Gradient of a line perpendicular to a line with a gradient of m = -1/m

Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6

Answer:

P=2.5

Step-by-step explanation:

12p = 25+5

12p = 30

P =30/12

Simplification:

P= 15/6

= 5/2 = 2.5

Answer:

Multiply 3 by 5

Step-by-step explanation:

After substituting, what is the first step when evaluating x+3x-4.2 when x=5

Given:

x + 3x - 4.2

when x = 5

Substitute x = 5 into the expression

x + 3x - 4.2

= 5 + 3(5) - 4.2

= 5 + 15 - 4.2

= 20 - 4.2

= 16.8

x + 3x - 4.2, when x = 5 is 16.8

After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5

Answer:

A' = (-3, 0)

Step-by-step explanation:

The coordinates of point A are (-6, 2).

The translation adds 3 to x and subtracts 2 from y.

A'(-6 + 3, 2 - 2) = A'(-3, 0)

Answer: A' = (-3, 0)

Answer:

Step-by-step explanation:

8y²+6y+1

=8y²+4y+2y+1

=4y(2y+1)+1(2y+1)

=(2y+1)(8y+1)

Work Shown:

y = 2x^3 - 4x

dy/dt = 2*3*x^2*dx/dt - 4*dx/dt

dy/dt = 2*3*1^2*4 - 4*4

dy/dt = 8

notice how I used the chain rule for step 2.

Answer:

Step-by-step explanation:

u799

Answer:

C) 10839

Step-by-step explanation:

.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

The solution and answer are well written in the Pic above.

Answer:

x = 2

Step-by-step explanation:

2x  + 6 = x -4

Subtract 6 from both sides

2x  = x - 4 +6

2x = x + 2

Subtract 'x' from both sides

2x - x = 2

x = 2

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Answer:

5/3 or 0.666666666667

Step-by-step explanation:

2/3*(-2)+3

5/3 or 0.666666666667 (Solved by calculator)

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2!  + x^3/3!  ---  + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- +  ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6

7m + 12 = -4m + 78

7m + 4m = 78 - 12

11m = 66

m = 6

I hope you understand...

Mark me as brainliest...

Hi!

y = ax + b

y = 14x + 2 → a = 14 ∧ b = 2

Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12

Answer:

x = 76.58°

Step-by-step explanation:

hyp = 13.41

tan = opp/adj

tan = 1/2 = 26.57

x = 76.58

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

$11.76

Step-by-step explanation:

2.94×4=$11.76

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

Answer:

320-7.500

Step-by-step explanation:

Answer:

Q24=A

25=B

26=A

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

brainly.com/question/16608196

#SPJ2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\huge x=-6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: x = -6

Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.

So we have -8x - 4x + 16 = 88.

Simplifying the left side further gives us -12x + 16 = 88.

Now subtract 16 from both sides to get -12x = 72.

From here it should be easy to find the x = -6.

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]

x = 10/3