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navik [9.2K]
2 years ago
11

The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Pa

rt II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)
Mathematics
1 answer:
jenyasd209 [6]2 years ago
3 0

Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

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Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. 8 5​ (b) find the number b s
IceJOKER [234]

a. We're looking for a such that

\displaystyle\int_1^a\frac{\mathrm dx}{x^2}=\int_a^4\frac{\mathrm dx}{x^2}

-\dfrac1x\bigg|_{x=1}^{x=a}=-\dfrac1x\bigg|_{x=a}^{x=4}

1-\dfrac1a=\dfrac1a-\dfrac14

\dfrac54=\dfrac2a\implies\boxed{a=\dfrac85}

b. Integrating with respect to y will make things easier.

y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}

(where we take the positive square root because we know x>0)

Now we want to find b such that

\displaystyle\int_0^b\frac{\mathrm dy}{\sqrt y}=\int_b^1\frac{\mathrm dy}{\sqrt y}

2\sqrt y\bigg|_{y=0}^{y=b}=2\sqrt y\bigg|_{y=b}^{b=1}

2\sqrt b=2-2\sqrt b

4\sqrt b=2\implies\boxed{b=\dfrac14}

3 0
2 years ago
Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

angle BAC = angle AOC + angle BOA

                  = 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * \pi /180

≈ 14.7 cm

3 0
2 years ago
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At the end of the business day, Sam attempts to balance the register. According to Sam's count, the register has $1,453.27. Howe
Alex787 [66]
All u need to do is subtract the bigger number from the smaller one
3 0
2 years ago
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You just measured a sugar cube and obtained the following information: mass = 3.48 g height = length = width = 1.3 cm Determine
nignag [31]

Answer:     Volume of sugar cube=2.20 cm³

Density of sugar cube = 1.60 g/cm³.

The sugar cube will sink.

Step-by-step explanation:

Given : Mass of cube = 3.48 g

Also, dimension of sugar cube :

height = length = width = 1.3 cm

Since , the volume of cube = (side)³

Volume of sugar cube=(1.3) ³= 2.197 ≈ 2.20 cm³

Also, Density = \dfrac{\text{Mass}}{\text{Volume}}

⇒ Density of sugar cube = \dfrac{3.48}{2.2}=1.5818\approx1.60\ g/cm^3

∴ Density of sugar cube = 1.60 g/cm³.

It is known that the density of water is 1 g/cm³.

Here , density of sugar cube >  density of water

⇒ The sugar cube will sink .

5 0
2 years ago
A company buys paper at the rate of $10.50 per package for the first 10 packages, $8.50 per package for the next 10 packages, an
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Answer:

25?

Step-by-step explanation:


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2 years ago
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