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3 years ago

PLEASE HELP ASAP!!!!!!

Mathematics

1 answer:

Rainbow [258]3 years ago

7 0

Answer:

6/5 units³

Step-by-step explanation:

The volume of the prism is given by the formula

V = Bh

where B is the area of the "base" and h is the height perpendicular to that base. Filling in the given numbers, you have ...

V = (9/5)·(2/3) = 18/15 = 6/5 . . . . units³

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Please give correct answer :(

BabaBlast [244]

Answer:

Step-by-step explanation:

i think its A but not sure lol

3 0

3 years ago

Read 2 more answers

The boundary of the lawn in front of a building is represented by the parabola . The parabola is represented on the coordinate p

Colt1911 [192]

The boundary of the lawn in front of a building is represented by the parabola

y = (x^2) /16 + x - 2

And you have three questions which require to find the focus, the vertex and the directrix of the parabola.

Note that it is a regular parabola (its symmetry axis is paralell to the y-axis).

1) Focus:

It is a point on the symmetry axis => x = the x-component of the vertex) at a distance equal to the distance between the directrix and the vertex).

In a regular parabola, the y - coordinate of the focus is p units from the y-coordinate of the focus, and p is equal to 1/(4a), where a is the coefficient that appears in this form of the parabola's equation: y = a(x - h)^2 + k (this is called the vertex form)

Then we will rearrange the standard form, (x^2)/16 + x - 2 fo find the vertex form y = a(x-h)^2 + k

What we need is to complete a square. You can follow these steps.

1) Extract common factor 1/16 => (1/16) [ (x^2) + 16x - 32]

2) Add (and subtract) the square of the half value of the coefficent ot the term on x =>

16/2 = 8 => add and subtract 8^2 => (1/16) [ (x^2) + 16 x + 8^2 - 32 - 8^2]

3) The three first terms inside the square brackets are a perfect square trinomial: =>

(1/16) [ (x+8)^2 - 32 - 64] = (1/16) [ (x+8)^2 - 96] =>

(1/16) [(x+8)^2 ] - 96/16 =>

(1/16) (x +8)^2 - 6

Which is now in the form a(x - h)^2 + k, where:

a = 1/16 , h = - 8, and k = -6

(h,k) is the vertex: h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

=> a = 1/16 => p =1/4a = 16/4 = 4

y-componente of the focus = -6 + 4 = -2

x-component of the focus = h = - 8

=> focus = (-8, -2)

2) Vertex

We found it above, vertex = (h,k) = (-8,-6)

3) Directrix

It is the line y = p units below the vertex = > y = -6 - 4 = -10

y = -10

4 0

3 years ago

For math I need to: Add. 1/3+1/9

chubhunter [2.5K]

=49(Decimal: 0.444444)

4 0

3 years ago

Read 2 more answers

A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

Beginning salary=$22000

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0

3 years ago

HELP NEEDED!

Ilia_Sergeevich [38]

Answer:

x = 12.6

Step-by-step explanation:

Sum of measure of all the arcs of a circle = 360°

m(arc CD) + m(arc CED) = 360°

Since, m(arc CED) = (20x)°

And m(arc CD) = (8x + 6)°

By substituting these measures in teh expression,

(20x)° + (8x + 6)° = 360°

(20x + 8x) + 6 = 360

28x = 360 - 6

28x = 354

x = $\frac{354}{28}$

x = 12.64

x = 12.6

4 0

3 years ago