What is the simplified form of -3z^2(z+2)-4(z^2+1)

Answer:

Step-by-step explanation:

Volume = πr2h/3

radius of the cone is 11 inches

height of the cone is 4.5 inches

V= (3.14 *(121)*4.5)/3= 569.91 inches3

Answer:

k = +- 2sqrt(J)

Step-by-step explanation:

This is the correct answer, I just took the test and this is right!

General Idea:

We need to apply the below formula to find the trend line from the given x and y values.

[tex] (1)\; mean:\; \bar{x}\;=\;\frac{\sum x_i}{n}, \; \;\bar{y}\;=\;\frac{\sum y_i}{n}\\ \\ (2) \;trend\; line: \; y=A+Bx, \;B=\frac{S_{xy}}{S_{xx}}, \;\;A=\bar{y}-B\bar{x}\\ \\ Where:\\ \\ S_{xx}=\frac{\sum x_i^2}{n}-\bar{x}^2\\ \\S_{xy}=\frac{\sum x_iy_i}{n}-\bar{x} \cdot \bar{y} [/tex]

Applying the concept:

In the graph given the trend line passes through two points (1, 8) and (7, 1).

We need to make use of the two point formula to find the equation of trend line

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]

Substituting the points (1, 8) and (7, 1) in the above formula to find slope we get...

[tex] m = \frac{1-8}{7-1}=\frac{-7}{6} [/tex]

The point slope form of an equation which is used to write the equation of line when we know a point and slope is given below:

[tex] y-y_1=m(x-x_1) [/tex]

Substituting the values in the above formula we get ...

[tex] y-8=\frac{-7}{6}(x-1)\\Distributing \; -7/6\; in\; the\; right\; side\; of\; the\; equation \\ \\ y-8=\frac{-7}{6}x+\frac{7}{6}\\ Adding\; 8\; on\; both\; sides\\ \\ y-8+8=\frac{-7}{6} x+\frac{7}{6} +8\\ Combining \; like \; terms\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{8 \cdot 6}{1 \cdot 6}\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{48}{6}\\ \\ y=\frac{-7}{6} x+\frac{55}{6} [/tex]

Conclusion:

The equation best represents a trend line for the scatter plot is Option B.

B. y=−7/6x+55/6

Answer:

1/2

50%

Step-by-step explanation:

The number 16 is 4/5 fractional part of 20.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Let the fraction part of 16 = x

So, We can formulate;

⇒ 16 = x × 20

⇒ x = 16 / 20

⇒ x = 4/5

Thus, The number 16 is 4/5 fractional part of 20.

Learn more about the fraction visit:

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Answer:

3.75p+8.50<=34.75

Step-by-step explanation:

No matter what, if you get at least 2 pair of flip flops you will be spending $8.50 plus 3.75 per pair on each additional pair . If she has $34.75 to spend and cannot go over, the inequality sign will be less than or equal to.  It is fine if she spends less than that and it's ok if she spends exactly that, but she cannot spend more than she has. 

The inequality then would be this:

3.75p+8.50<=34.75....

Answer:

3.75p + 8.50 ≤ 34.75

Step-by-step explanation:

.

The dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

  Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

  Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

For more details, refer to the link:

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Answer:

7(8x+5) ≠48x+35 when x = 2.

That is; the two expressions are not equivalent when x = 2

Step-by-step explanation:

To solve this, we need to follow the steps below

We will substitute x = 2 in the first  expression and simplify, then we will now substitute x =2 in the other expression and simplify, at the end of the simplification, we will compare the two expression to see if they are equal.

First lets open up the bracket, that is; 7(8x + 5)=56x + 35

Now substitute x = 2 in 56x + 35

56 x + 35 = 56(2) + 35 = 112 + 35 = 147

56 x + 35 = 147   when x = 2

Next is to substitute x = 2 in 48x + 35

48(2) + 35 =96 + 35 =131

The value of 48x + 35 = 131   when x =2

147 ≠ 131

Therefore the two expressions are not equivalent when x = 2

It is 20%. Is that helpful at all?

Answer:

the answer would be A

Step-by-step explanation:

I hope  this is helpful

The correct answer is 2000 mm.

To convert the length of the gold wire from meters to millimeters, one must know the conversion factor between these two units. There are 1000 millimeters in 1 meter. Therefore, to convert 2 meters to millimeters, one multiplies the length in meters by 1000.

Calculation:

2 meters * 1000 millimeters/meter = 2000 millimeters

Thus, the length of the gold wire in millimeters is 2000 mm.

To find the rate of change of the interval (3,10) for the given function, you need to calculate the difference in the function values at those two time points and divide it by the difference in time. The rate of change of the interval (3,10) is: ((900(1 + 0.4^10)) - (900(1 + 0.4^3))) / (10 - 3)

The given function f(t) = 900(1 + 0.4^t) models an investment of $900 at a rate of 4% over time, where t represents time in years. To find the rate of change of the interval (3,10), you need to find the difference in the function values at those two time points and divide it by the difference in time.

So, the rate of change of the interval (3,10) is:

((900(1 + 0.4^10)) - (900(1 + 0.4^3))) / (10 - 3)

Answer:A and D

Step-by-step explanation: