Which graph represents 8x-5y< 3

A cube with a side 1 m long has been cut into cubes of a side 1 dm each. all small cubes have been put one on top of the other,

Ivenika [448]

First, we have to find how many small cubes formed by the large cube.
To find the number of small cubes, we should calculate the volume of each large cube and small cube. Equalize the volume units to dm³

Dimension of large cube
s = 1 m
s = 10 dm

Volume of large cube
v = s³
v = 10³
v = 1,000 dm³

Dimension of small cube
s = 1 dm

Volume of small cube
v = s³
v = 1³
v = 1 dm³

Second, calculate the number of small cubes formed
n = volume of large cube / volume of small cube
n = 1,000 dm³ / 1 dm³
n = 1,000
There are 1,000 small cubes.

Third, calculate the height of the structure.
The structure is formed by 1,000 cubes. Each of them is 1 dm high.
The height of the structure is
h = 1 dm × 1,000
h = 1,000 dm
h = 100 m
The height of the structure is 1,000 dm or 100 m

8 0

2 years ago

The average of Johnny’s two tests is a 92. What must he get on a 3rd test to raise his average to a 94?

zheka24 [161]

Reread, take time, and concentrate

5 0

2 years ago

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What are the differences among an experiment, a study, and a survey? Complete the explanation of the differences by selecting th

artcher [175]

Answer:

The full question is

What are the differences among an experiment, a study, and a survey?

1. In an observational study, randomization of subjects ______

A. occurs

B. does not occur

We understand randomization as a random process of assigning experimental subjects to treatment groups. Through this process, we have more control about variables which are not related to the experiment.

In an observational study, the researcher doesn't change anything, he or she studies the events as they are, without using any randomization process.

Therefore, the right answer here is B. 

2. A survey _______

A. poses no interference on subjects

B. makes inferences about a population

A survey poses no interference on subjects, actually if it does, then that survey is not reliable. An important charactersitic of a survey is that it must be objective, that way it will be reliable enough to use it in the research.

Therefore, the right answer is A.

3. In an experiment, ___________ to discern differences in a response variable.

A. treatment is imposed

B. inferences are made

C. randomization does not occur

Experiments are characterized by having certain "stimulus" at least in one group of subjects, that way researches compare data sets to prove their hypothesis.

Therefore, the right answer here is A.

8 0

2 years ago

Find the area of ΔAOB 3√3 un2 4.5√3 un2 9√3 un2

Greeley [361]

Answer:

The area of the ΔAOB is $9\sqrt{3}\ unit^{2}$ .

Step-by-step explanation:

As given the figure

OA = OB = 6 unit

(Radius of the circle.)

In ΔAOB

As the two sides of a triangle thus there opposite angles are also equal .

∠A = ∠B

Let us assume that ∠A = ∠B = x°

∠A + ∠O + ∠B = 180°

(By using the angle sum property of a triangle.)

∠O = 60°

x° + 60° + x° = 180°

2x = 180 - 60

2x = 120

$x = \frac{120}{2}$

x = 60

∠A = ∠B = 60°

Thus

∠A = ∠B = ∠O = 60°

As all the angles of the ΔAOB are 60° thus ΔAOB is a equilateral triangle .

Also all the sides of the ΔAOB are also equal i.e AB = OA = OB = 6 unit .

Formula

$Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4} a^{2}$

Where a is the side of the equilateral triangle .

a = 6 unit

Put in the above formula

$Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4}\times 6^{2}$

6² = 36

$Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4}\times 36$

$Area\ of \ a\ equilateral\ triangle = 9\sqrt{3}\ unit^{2}$

Therefore the area of the ΔAOB is $9\sqrt{3}\ unit^{2}$ .

5 0

2 years ago

The curve produced by the water coming from a fountain is sketched on the graph.

Bas_tet [7]

Answer: B. -(x-2)^2 + 3

The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.

Therefore the equation is -(x-2)^2 + 3

Look at the attached image to see what vertex form is

3 0

2 years ago

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