Independent Practice


Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.

2z3 + 12z2 – 5z – 30


A.
z2; –5


B.
2z; –5


C.
2z2; –5


D.
2z2; 5

Answer: 9π/20 radians  

How to: Convert from degrees to radians using the ratio π/180 .

Have a great day !

Answer:

x = -1

Step-by-step explanation:

Answer:

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Step-by-step explanation:

If I had to guess what you intended:

(x  + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

Answer:

0.11314

Step-by-step explanation:

The Long John Silver's restaurant parameters are;

The mean time spent at the window, μ = 59.3

The standard deviation, σ = 13.1

The time distribution is skewed right

The number of cars in the sample, n = 40 cars

The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds

The Z-value for a mean time of 56.8 seconds is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]

Therefore, the z-value ≈ -1.21

From the normal probability table, we have;

P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314

The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.

Answer:

16. B

17. C

18. D

19. B

20. D

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable [tex]x[/tex] and [tex]y[/tex] are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, [tex](x-8)^2 + (y-8)^2[/tex] shifts the center 8 to the right and up of the origin, [tex](x+1)^2+(y+4)^2[/tex] shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have [tex]x^2+y^2[/tex], which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or [tex]8^2[/tex], so the correct answer would be choice C: [tex]x^2+y^2=8^2[/tex].

Zeros:

x = -2

x = 6

Smaller zero: -2

The midpoints of a rectangle always form parallelogram.

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

Answer:

He is wrong because for the last part of foil he multiplies 3 times 3 and got 6 instead of 9.

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

Answer:

215 cm^2

Step-by-step explanation:

Area for triangles: 1/2(b)(h)

Area for parallelograms: (b)(h)

18 - 6 - 5 = 7

20 - 10 = 10

1/2(7)(10)

1/2(70)

35

18(10)

180

180 + 35 = 215

Thank you for the Points but please stop taking answers from people who need help... Its not very kind

Answer:

.

Step-by-step explanation:

Answer:

What???? (confusion)

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

And the area of the triangle is:

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

Now, we can replace the values in the formula obtained:

Now, as we just need the adjacent leg, we take the square root of both sides:

Now, with these data, we can find the area of the triangle with the next formula:

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

Answer:

Step-by-step explanation:

on the dive boat deck :)

Answer:

I CAN ACTUALLY HELP FOR ONCE!!!! [tex]30m^{3}[/tex]

Step-by-step explanation:

Answer:

30m^3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]

Answer:

24 meters

Step-by-step explanation:

First we need to show width and length as variables.

let width of garden 1 = W

let length of garden 1 = L

let width of garden 2 = w

let length of garden 2 = l

Now make equations that are explained in the question

L = 2W

l = L

w = W + 4

l × w = 120

Now with that we can find l and w.

Now by looking at the factors of 120, find the factors that work throughout the question.

That is 12 and 10.

l=12

w=10

This means that...

L=12

W=6

Now the answer is 24 meters

Answer:

12m

Step-by-step explanation:

just took the test

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

Answer:

[tex]radius = \sqrt{ {15}^{2} + {36}^{2} } = 39 \\ area = 4 \times {39}^{2} \times \pi = 19103.76[/tex]

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

Answer:

D

Step-by-step explanation:

Based off of previous responses and my incorrect answer, I am going to say the answer is D.

Answer: d

Step-by-step explanation: edge

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384