Which expression is equivalent to 9 p minus 3 p + 2?
A. 8p
B. 14p
C. 6 p + 2
D. 9 p minus 1

Answer:

(w - 4)(w - 1)(3w - 5)

Step-by-step explanation:

Using Synthetic division to find the quotient on dividing p(w) by (w - 4)

4 | 3   - 20   37   - 20

            12   - 32    20

   -----------------------------

    3     - 8     5        0 ← remainder = 0

quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)

p(w) = (w - 4)(w - 1)(3w - 5)

Answer:

65

Step-by-step explanation:

Use the formula: a²+b²=c²

63²=3969

16²=256

Add them = 4225 = c²

[tex]\sqrt{4225} = \sqrt{c^2}[/tex]

65 = c (or x in this case)

Answer:

17.96

Step-by-step explanation:

To find the hypotenuse we are will have to use Sine, since we are only given the degree and opposite leg. [tex]sin(degree)=\frac{Opposite}{Hypotenuse}[/tex]

[tex]sin(63)=\frac{16}{x}[/tex]

Let's cancel the x on the right side by multiplying both sides by x

sin(63)x = 16

Divide both sides by sin(63)  [Or 0.866, depending on the type of calculator you have]

sin(63)x ÷ sin(63) = 16 ÷ sin(63)

x = 17.9572198

Answer: 12inches

Step-by-step explanation:

Area of a circle= 113.04square inches

Area of a circle =pir^2

Pi=3.14

R=?

So we are looking for the radius and from there we will get the diameter

Area=pir^2

113.04=3.14×r^2

R^2= 113.04/3.14

R^2=36

R=square root of 36

R= 6

Diameter =2r

Diameter = 2×6

Diameter = 12inches

Answer:

12 inches

Step-by-step explanation:

3.14 × r² = 113.04

r² = 36

r = 6

Diameter = 2r = 12

Answer:

C

Step-by-step explanation:

Given

- 4([tex]\frac{5}{2}[/tex] + [tex]\frac{3}{2}[/tex] x) >  8 ← distribute parenthesis on left side

- 10 - 6x >  8 ( add 10 to both sides )

- 6x >  18

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity

x < - 3 → C

Answer:

The answer is D: sin 11pi/6

<3

Step-by-step explanation:

The expression that is equivalent to the given expression is Sin(11π/6).

The given trigonometric expression is: [tex]Sin \frac{7\pi }{6}[/tex]

[tex]Sin\frac{7\pi }{6}[/tex] can be written as [tex]Sin(\pi +\frac{\pi }{6} )[/tex]

The value of [tex]Sin(\pi +\theta)[/tex] is [tex]-Sin\theta[/tex].

So, [tex]Sin(\pi +\frac{\pi }{6} )=-Sin\frac{\pi }{6}[/tex]

We know that

[tex]Sin(2\pi -\theta)=-Sin\theta[/tex]

Or, [tex]-Sin\theta=Sin(2\pi -\theta)[/tex]

So, [tex]-Sin\frac{\pi }{6} =Sin(2\pi -\frac{\pi }{6} )[/tex]

[tex]-Sin\frac{\pi }{6} =Sin\frac{11\pi }{6}[/tex]

So, the required expression is [tex]Sin\frac{11\pi }{6}[/tex].

Therefore, the expression that is equivalent to the given expression is Sin(11π/6).

To get more about trigonometric identities visit:

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Answer:

399

Step-by-step explanation:

The only expression that does not equal 400 is c. 500 - 200.

From the question, we have the following parameters that can be used in our computation:

a. 2 * 200

b. 800/2

c. 500 - 200

d. 300 + 100

Evaluating each of the options, we have the following

a. 2 * 200 = 400

b. 800/2 = 400

c. 500 - 200 = 300

d. 300 + 100 = 400

Hence, the only option that does not equal 400 is c. 500 - 200.

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Question

Which is not equal to 400

a. 2 * 200

b. 800/2

c. 500 - 200

d. 300 + 100

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

x=-2   y=5

Step-by-step explanation:

7x-2y=-24

5x+5y=15

35x-10y=-120

10x+10y=30

45x=-90

x=-2

-10+5y=15

5y=25

y=5

The solution of the equations is, x=-2 and y=5.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given expressions are solved as below:-

7x-2y=-24

5x+5y=15

35x-10y=-120

10x+10y=30

45x=-90

x=-2

The second equation is solved as below:-

-10+5y=15

5y=25

y=5

Hence, the solutions are x=-2 and y=5.

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Answer: 900 square meters. 30x30

Step-by-step explanation: a square is the biggest area you can have, so 120 divided by 4 is 30, and then 30 times 30 is 900.

Answer:

3.5 feet

Step-by-step explanation:

Diameter = 7 feet

Radius = Diameter × [tex]\frac{1}{2}[/tex]

Radius = [tex]\frac{7}{2}[/tex] = 3.5 feet

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

When (i) is multiplied to itself it = -1

The number (i)is used for imaginary numbers.

so the right answer is of option D...

Answer: The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym

Step-by-step explanation:

Hi, to answer this question we have to write an equation for the cost of Bella's Gym

Jon's Gym: f(x) = 30x + 150

Bella's Gym has a signup fee of $50 and charges $45 dollars per month.

So, we have to multiply the number of months (x) by the cost per month, and add the signup fee cost (50).

Bella's Gym: f(x) = 45x+ 50

Since Jon's signup fee is 150 and Bella's signup fee is 50 , the difference of both costs is 100 (150-50=100), and since Jon's gym has the more expensive fee:

The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym

Final answer:

The statement that the signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym is true.

Jon's Gym charges $30 per month while Bella's Gym charges $45 per month; thus, Jon's Gym charges $15 less, not more.

Explanation:

Comparing the costs of gym memberships at Jon's Gym and Bella's Gym requires analysis of the initial signup fees and the monthly rates. The function for Jon's Gym, f(x) = 30x + 150, indicates a signup fee of $150 and a monthly rate of $30. Bella's Gym has a signup fee of $50 and a monthly rate of $45. To determine the true statement, we compare these numbers directly:

The other statements provided in the question can be dismissed as false:

Therefore, the correct statement is that The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym.

Answer:

31

Step-by-step explanation:

The range can be found by subtracting the lowest number in the set from the highest, so one can conclude how large the gap in between the two is.

the lowest number her is 68 and the highest is 99

99-68=31

Answer:

31 is the range

Step-by-step explanation:

the range is the number between the highest data and the lowest data. You take your largest number in the data and subtract it from the highest.

Largest 99

smallest 68

99 - 68 = 31

Hope this helps :) if it does please mark brainlest :)

Answer:

Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602

Step-by-step explanation:

Given data:

Two pairs Y (5,4) and Z (0, -3)

To find: ordered pair of YZ

YZ = Z - Y = (0-5, -3-4)

                 = (-5, -7)

Hence ordered pair of YZ is (-5,-7)

To find: magnitude of YZ.

Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is

Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

magnitude of YZ =  [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]

                             = [tex]\sqrt{74}[/tex]

                             = 8.602

Another method:

magnitude of YZ = |YZ|

|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex]  ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]

       = [tex]\sqrt{74}[/tex]

       = 8.602

magnitude of YZ = 8.602

Answer:

D

Step-by-step explanation:

(-5,-7);√74 units

Answer:

Last one

Step-by-step explanation:

f(x) = Asin(Bx) + C

C = 0

A = 5

B = 2pi/12 = pi/6

f(x) = 5 sin[(pi/6)x]

The domain of y = cosec(x) includes all real numbers except for the integer multiples of [tex]\pi[/tex], where the sine function equals zero and the cosecant function is undefined.

The domain of a function is the set of all possible input values (usually x values) for which the function is defined. In the case of y = cosec(x), the cosecant function is the reciprocal of the sine function, meaning cosec(x) = 1/sin(x). Since the sine of an angle can be zero and division by zero is undefined, the domain of y = cosec(x) must exclude any x values where sin(x) = 0.

The sine function is zero at integer multiples of [tex]\pi[/tex], so the domain of cosec(x) is all real numbers except for integer multiples of [tex]\pi[/tex]

Answer:

Next frame (6) is C

Frame 7 is D then A

Frame 8 is D

Frame 9 is scalar, neither, matrix, matrix

Step-by-step explanation:

Doing the assignment rn :)

Answer:

C =AB

2 x 2

second part

c11=-1 c12=3 c21=3 c22=-3

third part

d11=0 d12=6 d21=1 d22=-4

Step-by-step explanation:

Correct on edge 2023

Madi is 4 and Bracken is 20.

In 12 years Madi will be 16 and bracken will be 32 which is twice the age of Madi.

Answer:

A. 1256

Step-by-step explanation:

You have to find the radius of the shaded circle

So you can add 12 + 8 = 20

Or you can find the diameter of the two circles. The diameter of the first circle is 12 + 12 = 24 and the second circle is 8 + 8 = 16 + 20 + 40 is the diameter of the shaded circle. Since radius is half of diameter 40 ÷  2  = 20

So now since you know the radius of the shaded circle you can find the area

A = πr²

A = 3.14 x 20²

A = 3.14 x 400

A = 1256

Answer:

85%

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator. 0.85 × 100100.

= (0.85 × 100) × 1100 = 85100.

Write in percentage notation: 85%

Answer:

85%

Step-by-step explanation:

To convert a number to a percent, you need to multiply it by 100 and add a percent symbol to the end. 0.85*100=85%. Hope this helps!

Answer: hamburger $3.00

Coke $1.50

Step-by-step explanation:

2hamburgers & 3cokes= $10.50

4hamburgers & 4cokes= $18.00

Let hamburger represent H

And coke represent C

2H +3C= 10.50.......equation 1

4H+4C= 18.00.......equation 2

2H =10.50 -3C...........equation 3

The 4H can be rewriting as

2(2H) right

So substitute for the 4H

So we have,

2(2H) +4C= 18

Substitute for 2H

2(10.50 -3C) +4C =18

Open the bracket

21 -6C +4C= 18

21-2C= 18

-2C = 18-21

-2C = -3

Minus cancel minus

C= 3/2 = $1.5

Substitute for c in equation 1

2H+3C =10.50

2H+3(1.5)= 10.50

2H+4.5=10.5

2H= 10.5-4.5

2H =6

H= 6/2

H=$3

So

An hamburger cost $3.00

A coke cost $1.50

sqrt(36/100) = +-6/10

You find the square root of the numerator and the denominator.