Enter the amplitude of the function. f(x)=3cosx

Answer:

-6ab+a+1

Step-by-step explanation:

add or subtract like terms.

The difference between (-5ab+a+3) and (ab+2) is calculated by combining like terms and performing the subtraction, resulting in -6ab + a + 1.

To find the difference between the two expressions (-5ab+a+3) and (ab+2), we need to subtract the second expression from the first. Applying the distributive property of subtraction over addition (i.e., a - (b + c) = a - b - c), we get:

Putting it all together, the difference of the two expressions is -6ab + a + 1.

Answer:

B acute

D equilateral

Step-by-step explanation:

All the sides are equal (line in the middle of each side) = equilateral

All the angles are equal (single line in each angle) = equilangular

That means 180/3 = 60

Each angle is 60 degrees  60 degree angles are acute

Answer:

Approximately 24 feet.

Step-by-step explanation:

Refer to the two diagrams attached (created with Geogebra.)

The wire between the speaker and the amplifier shall be routed along the wall. The length of the connection depends on the height of the point P at which the wire turns. Point P is shown in green in both diagrams.

To find the optimal position of that turning point, imagine that the two adjacent walls of the room are unfolded into two rectangles in the same plane (diagram 2.) Consider the claim: the shortest connection shall be a straight line that links the two devices when the two walls are unfolded. This explanation will show why this claim is true using the triangle inequality theorem.

Assume this claim is false: the connection will be even shorter if the wire turns at P', which is a point other than P. The length of the connection is now the sum of the two segments:

In contrast, if the wire is routed through point P, the length of the connection will simply be

Point P is on the line that connects the amplifier and the speaker in diagram 2. However, P' is a point other than P, meaning that P' is off the line between the speaker and the amplifier. It is thus possible for the following three points to form a triangle:

By the triangle inequality theorem, the sum of any two sides of a triangle is greater than the length of the third side. To make full use of this theorem, consider the length of the three sides in this triangle:

[tex]\left\{\begin{array}{ll}\left.\begin{aligned}&\text{distance between amplifier and P}'\text{.}\\&\text{distance between P}' \text{ and speaker.}\end{aligned}\right\}&\text{Length of the second connection}\\\text{distance between amplifier and speaker}\end{array}\right.[/tex].

The sum of the first two distances shall be greater than the third. In other words, the length of the connection through P' will be greater than the length of the connection through P. This fact contradicts the assumption that the original claim is false. In other words, the claim that P gives the shortest connection is true.

Find the length of the shortest connection using the Pythagorean Theorem. Refer to the second diagram, the connection is the hypotenuse of a right triangle with

The length of the connection (the hypotenuse) will be:

[tex]\sqrt{23^{2} + 7^{2}}\approx 24[/tex] feet.

Answer:

Step-by-step explanation:

A= 1 * 1 = 2

A2 = 1 * (1 * 1)

A2 = 1 * 1

A2 = 1

a3 = 1 * 1 * (1 * 1)

a3 = 1 *1 * 1

a3 = 1 * (1*1)

a3 = 1* 1

a3 = 1

You keep on going in this manner until you hit 1^65 = 1

The only thing you have to accept is that (1 * 1) = 1

Answer:

8640 in ^2

Step-by-step explanation:

1 ft = 12 in

60ft^2 * 12 inches  * 12 inches

             --------------     --------------   = 8640 in ^2

              1  ft                1   ft

Answer:8640

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The mean of a set of data: (n₁ + n₂ + n₃...)/n, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

Answer:

4

Step-by-step explanation:

When finding the mean of a data set you add up all the numbers and divide it my how many numbers there is

1+5+5+7+3+3+4= 28

28 divided by 7 = 4

Mean of the set of data is 4

Hope this helps :)

if it does please mark brainliest :D

- A. Hazle <3

Answer:

0.6 ft

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{2.3}{x}[/tex] = [tex]\frac{16.8}{4.5}[/tex] ( cross- multiply )

16.8x = 10.35 ( divide both sides by 16.8 )

x ≈ 0.6 ft ( to the nearest tenth )

Answer:

A. y - x = -4

Step-by-step explanation:

y=x-4

To get infinite equations, the equation must be equal to y=x-4

We will solve each of these for y to see if they are identical

A. y - x = -4  

 Add x to each side

y-x+x = x-4

y = x-4

This is the same

It will give infinite solutions

B. y - x = -2

y-x+x = x-2

y =x-2

This is not the same.

It is parallel and will give no solutions

C. y - 4 = x

y-4+4 = x+4

y = x+4

This is parallel and will give no solutions

D. y + 4x = 1

y +4x-4x = -4x+1

This will intersect at a point

Answer: The correct answer is c.

Step-by-step explanation:

I just answered the question for school

Hello

Good Luck

Goodbye ♥

Answer:

B x^9 ∛ y

Step-by-step explanation:

(x^27 y) ^ (1/3)

x^27^(1/3) y^(1/3)

We can distribute the exponent a^b ^c = a^(b*c)

x^(27*1/3) y^(1/3)

x^9 y^(1/3)

Answer:

x=7

Step-by-step explanation:

Solve for x:

3 x + x + 5 = 33

x + 3 x = 4 x:

4 x + 5 = 33

Subtract 5 from both sides:

4 x + (5 - 5) = 33 - 5

5 - 5 = 0:

4 x = 33 - 5

33 - 5 = 28:

4 x = 28

Divide both sides of 4 x = 28 by 4:

(4 x)/4 = 28/4

4/4 = 1:

x = 28/4

The gcd of 28 and 4 is 4, so 28/4 = (4×7)/(4×1) = 4/4×7 = 7:

Answer:  x = 7

The larger number is 26 and the smaller number is 7.

To determine the solution, take the following steps:

The given equation is  x + 3x + 5 = 33

Combine similar terms: x + 3x =33 - 5

Add similar terms: 4x = 28

Divide both sides by 4 : 7

The larger number = 33 - 7 = 26

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ2

Answer:

AB is 6 units

Hope this helps

Step-by-step explanation:

The scale factor of the dilation is: 2.5.

The length of AB is: 6 units.

The scale factor of a dilation (reduction or enlargement) = dimension of new figure / corresponding dimension of original figure.

The scale factor of the image given = B'C'/BC

Scale factor = 9.5/3.8 = 2.5

To find the length of AB, divide the length of A'B' by the scale factor of the dilation.

AB = 15/2.5

AB = 6 units. (option A)

Learn more about scale factor on:

https://brainly.com/question/2826496

#SPJ9

Answer:

18 + -3

Step-by-step explanation:

It is not really an estimate because it is obviously seen that +- = -.

Answer: $5,591

Step-by-step explanation:

4% = .04

5824 x .04 = 232.96

5824 - 232.96 = 5591

Before sales tax, the car cost $5591

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to solve this equation, you need to DISTRIBUTE!}[/tex]

[tex]\text{The algebraic formula for distribution is: a(b+c) = a(b)+a(c) = ab + ac}[/tex]

[tex]\text{Now, that we have that portion solved, we can answer your question!}[/tex]

[tex]\text{3.5(2h) + 3.5(4.5)}[/tex]

[tex]\text{3.5(2h) = 7h}[/tex]

[tex]\text{3.5(4.5) = 15.75}[/tex]

[tex]\text{= 7h + 15.75}[/tex]

[tex]\boxed{\boxed{\bf{Answer:7h+15.75}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:  2x³(x² + 5x - 11)

Step-by-step explanation:

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

Answer:

Because of the minus sign

2 becomes - 2

The answer is -2

Multiply a and 7

Multiply a and 1

The a just gets copied along.

The answer is a

a

7*a evaluates to 7a

Multiply b and 4

Multiply b and 1

The b just gets copied along.

The answer is b

b

4*b evaluates to 4b

7*a+4*b evaluates to 7a+4b

Multiply -2 by 7a+4b

we multiply -2 by each term in 7a+4b term by term.

This is the distributive property of multiplication.

Multiply -2 and 7a

Multiply 1 and a

The a just gets copied along.

a

-2 × 7a = -14a

Multiply -2 and 4b

Multiply 1 and b

The b just gets copied along.

b

-2 × 4b = -8b

-2*(7*a+4*b) evaluates to -14a-8b

Multiply c and 6

Multiply c and 1

The c just gets copied along.

The answer is c

c

6*c evaluates to 6c

The answer is -14a-8b-6c

-2*(7*a+4*b)-6*c evaluates to -14a-8b-6c

The final answer is

-14a-8b-6c

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

2

Step-by-step explanation:

m² = 4² + 8²  

m² = 16 + 64

m² = 80

l² = k² + 4²

l² = k² + 16

m² + l² = (k + 8)²   m² = 80,  (b)

80 + k² + 16 = k² + 16k + 64

k² - k² - 16k = 64 - 80 -16

-16k = -32

k = -32/-16

k = 2

Answer:

A

Step-by-step explanation:

a site called desmos, its a graphing calculator and you should use it :)

The function whose graph is given below is:

                    A)     [tex]y=3\sin (x-2)+1[/tex]

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Hence, we will check which function satisfies this point.

B)

[tex]y=3\cos(x-3)+1[/tex]

At x=2 we have:

[tex]y=3\cos (3-2)+1\\\\i.e.\\\\y=3\cos(1)+1\\\\y>1[/tex]

Hence, option: B is incorrect.

C)

[tex]y=6\sin (x-2)-2[/tex]

when x=2 we have:

[tex]y=6\sin (2-2)-2\\\\i.e.\\\\y=6\sin 0-2\\\\i.e.\\\\y=-2\neq 1[/tex]

Hence, option: C is incorrect.

D)

[tex]y=3\sin (x-2)+2[/tex]

when x=2 we have:

[tex]y=3\sin (2-2)+2\\\\i.e.\\\\y=3\sin 0+2\\\\i.e.\\\\y=2\neq 1[/tex]

Hence, option: D is incorrect.

So, we are left with option: A

A)

[tex]y=3\sin (x-2)+1[/tex]

when x=2

we get: y=1

Similarly all the other points are satisfied.

Also, the graph of this function matches the given graph.

Answer:

2x^2-4x=14

x^2-2x=7

x^2-2x+1=8

(x-1)^2=8

Answer:

no solutions

Step-by-step explanation:

12x + 1 = 3(4x + 1)

Distribute the 3

12x + 1 = 12x + 3

Subtract 12x from each side

12x-12x +1 = 12x-12x+3

1 =3

This is never true, so there are no solutions

Answer:

There are no solution

Step-by-step explanation:

A(B+C)=ab+ac

3(4x+1)=12x+1

12x+1=12x+3

Subtract by 1 both sides of equation.

12x+1-1=12x+3-1

Simplify.

3-1=2

12x=12x+2

Then subtract by 12x both sides of equation.

12x-12=12x+2-12x

Simplify, to find the answer.

0=2

The sides are not equal.

It's should be no solution.

No solution is the correct answer.

Answer:

15/9 =1.7

if u divide 3 by both of them you will have 5/3  .5/ 3 with give you 1.666666667 aproximately to 1.7 that is in one decimal plave

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5  it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder

For this case we have the following expression:

[tex]e ^ {\frac {1} {2}}[/tex]

We must evaluate the expression, then:

[tex]e ^ {0.5} =[/tex]

If we enter the expression in a calculator we have that the decimal form is given by:

[tex]1.64872127[/tex]

If we round the expression we have to:

[tex]e ^ {\frac {1} {2}} = 1.7[/tex]

The option that is closest is option A.

Answer:

Option A

Answer: π/180

Step-by-step explanation:

510 Degree (°) =. 8.90118 Radian (rad) Degree : A degree, a degree of arc or arc degree is a measurement of plane angle, on behalf of 1/360 of a full rotation. The symbol for degree is °. It is not an SI unit, however, it is accepted for use with SI. One degree is equal to π/180 radians.

Answer:

17pi/6 rad

Step-by-step explanation:

2 pi radians = 360 degrees

Divide both sides by 2.

pi radians = 180 degrees

From the statement above, you get the conversion factors:

(pi rad)/(180 deg) = (180 deg)/(pi rad) = 1

Both fractions above equal 1. Since multiplying by 1 does not change the number, multiply 510 deg by the fraction above that will cancel out degrees and will leave you with radians.

510 deg * (pi rad)/(180 deg) = 510pi/180 rad = 17pi/6 rad

[tex]

\dfrac{1}{x-1}-\dfrac{3}{x^2+2x-3} \\

\dfrac{1}{x-1}-\dfrac{3}{(x+3)(x-1)} \\

\dfrac{1\cdot(x+3)-3}{(x+3)(x-1)} \\

\dfrac{x+3-3}{(x+3)(x-1)} \\

\dfrac{x}{(x+3)(x-1)}

[/tex]

Hope this helps.

r3t40

Answer:

14 - [tex]\sqrt{23}[/tex]

Step-by-step explanation:

CD=22 => ED=11

AD=14 (radius). With Pythagorean theorem, [tex]AE^{2}[/tex]=[tex]AD^{2}[/tex]-[tex]ED^{2}[/tex] => AE = [tex]\sqrt{23}[/tex]

EB= AB-AE = 14 - [tex]\sqrt{23}[/tex]

The measure of EB from the expression is 5.34

The given diagram is A circle with the following sides

radius AB = 14

CD = 22

From the diagram, AB = AE + EB

Determine the measure of AE using Pythagoras theorem

AD² =AE² + ED²

14² = AE² + 11²

AE² = 14² - 11²

AE² = 196 - 121

AE² = 75

AE = √75

AE = 8.66

EB = AB - AB

EB = 14 - 8.66

EB = 5.34

Hence the measure of EB from the expression is 5.34

Step-by-step explanation:

Subtract

2

x

from both sides of the equation.

y

=

4

−

2

x

x

−

y

=

2

Subtract

x

from both sides of the equation.

y

=

4

−

2

x

−

y

=

2

−

x

Multiply each term in

−

y

=

2

−

x

by

−

1

Tap for more steps...

y

=

4

−

2

x

y

=

−

2

+

x

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(

2

,

0

)

ANSWER

See attachment

EXPLANATION

The given inequality is

[tex]2x + y \: < \: 4[/tex]

To solve we need to graph this inequality.

To do that we graph the corresponding linear equation

[tex]y = - 2x + 4[/tex]

This is a straight line with slope

[tex]m = - 4[/tex]

and y-intercept (0,4)

The graph of this function is to the right of the origin.

The solution set of the corresponding inequality is the half plane that is shaded.

We plot the point (0,0) into the given inequality to determine which half plane must be shaded

[tex]2(0) + 0 \: < \: 4[/tex]

[tex]0 < 2[/tex]

This is true so we shade the lower half plane. The solution set is the lower half plane shaded in the attachment.

Note that the boundary line must be a dashed line because the inequality does not involve equal sign.