What is the amplitude of the graph of y = 2sin(4x - 1) + 3 ?

Answer:

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

Answer:

7(7p-5q)

Step-by-step explanation:

49p-35q

7(7p-5q)

Answer:

X = -2 or X = 8

Explanation:

Answer:

No

Step-by-step explanation:

if both equations begin with 'y=' then we can set the expressions equal to each other:

-x+1 = -x+5

1 ≠ 5 ∴ there are no solution to this system of equations

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Reason:- According To Isosceles Triangle Theorem:-

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

Answer:

18/80 = 9/40

Step-by-step explanation:

Given:

The radius of the circle X is XY.

Coordinates of X are (0,3) and coordinates of Y are (-3,-1).

To find:

The area of the circle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).

[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]

[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]

[tex]XY=\sqrt{9+16}[/tex]

[tex]XY=\sqrt{25}[/tex]

[tex]XY=5[/tex]

The radius of the circle is 5 units.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get

[tex]A=(3.14)(5)^2[/tex]

[tex]A=(3.14)(25)[/tex]

[tex]A=78.5[/tex]

Therefore, the area of the circle is 78.5 square units.

Answer:

The area of the factory is about 3000 m more than the area of the stadium

Step-by-step explanation:

The area of the factory can be said to be 3000m² more than the area of the stadium.

The area of the factory is given as S1

S1 = √80² + 200² * √40² + 100²

= √6400+40000 * √1600 * 10000

=√46400 * √11600

= 23200m²

S2 = 80² * 3.14

= 20096

The difference in areas = S1 - S2

= 3000m²

Read more on area here:

https://brainly.com/question/25292087

#SPJ9

Answer:

so the answer for your question is -4

392.7

To get the answer multiply Density * Volume

Mass = 0.1785 * 2200

Mass = 392.7

The amount of helium present in the hot air balloon = 392.7 kg

d = mass / volume

Given: volume of helium present in a hot air balloon = 2200 cubic meters

density of helium = 0.1785 kilograms per cubic meter

Let, m represents the amount of helium present in the balloon.

Using the formula of density,

density of helium = mass of helium / volume of helium

⇒ 0.1785 = m / 2200

⇒ m = 0.1785 × 2200

⇒ m = 392.7 kg

Therefore, option (c) is the correct answer.

Learn more about density here:

https://brainly.com/question/11297311

#SPJ2

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

Answer:

A = 147 cm²

Step-by-step explanation:

A = πr²

A = (3)(7)²

A = 3(49)

A = 147 cm²

Hope this helps!

Answer:

Step-by-step explanation:

He will pay 25% income tax as per table.

He will earn after tax:

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

https://brainly.com/question/20950399

#SPJ2

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

https://brainly.com/question/28732353

#SPJ2

Answer:

Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem

[tex]5^2+\sqrt{21}^2 = c^2[/tex]

25+21=c^2

46=c^2

c=sqrt46

c=6.78

sin(opposite/hypotnuse)

sin(sqrt21/ sqrt46) =.0117

Answer:

5.83

Step-by-step explanation:

Use the Pythagorean theorem:

3^2+5^2 = c^2

34 = c^2

sqrt34 = c

5.83 = c

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

[tex]\frac{5}{x} = \frac{1}{5}[/tex]

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

[tex]\frac{3}{x} = \frac{1}{8}[/tex]

cross multiply to get

x*1=3*8

x= 24 players

Answer:

96 i think

Step-by-step explanation:

I think its 96. just multiply all the sides

Answer:

b

Step-by-step explanation:

Answer:

150+93=241

Step-by-step explanation:

I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically

edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193

193 is your answer sorry lol took me a while to work this out or Answer choice C

Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]

Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108