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poizon [28]
3 years ago
11

4 points

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

The correct answers is D

D) 360 cubic inches

Step-by-step explanation:

We know that the Area of the base of the can is given by

A = 45 inch²

Initial height of the can = 12 inches

Fraction of height cut off = 1/3

Calculate the final height after cutting off:

Find 1/3 of 12 inches:

\frac{1}{3}\cdot12=4

Subtract the answer from 12 to get final height:

Final height = 12- 4 = 8 inches

Can is a form of cylinder, so:

Volume = (Area)(height)

V=45\cdot8\\V=360inch^3

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vovikov84 [41]

Answer:

3.2

Step-by-step explanation:

Given the coordinates

X(4, -3)

Y(2, 1.5)

A(3, 3)

Z(4,-1)

We are to find the distance from point A to XZ

First let us get the coordinate XZ

According to vector notation XZ = Z-X

XZ = (4,-1)-(4,-3)

XZ = [(4-4),-1-(-3)]

XZ = (0, 2)

Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

x1 = 3, y1 = 3, x2 = 0, y2 = 2

D = √(0-3)²+(2-3)²

D = √9+1

D = √10

D = 3.16

Hence the distance from point A to XZ to nearest tenth is 3.2

4 0
3 years ago
6. If you need to dissolve 8 tablets of active ingredient B, each containing 3 mg, in 15,750 mL, what is the ratio strength (w/v
Nuetrik [128]

Answer:

1 : 656250

Step-by-step explanation:

It is given that we need to dissolve 8 tablets of active ingredient B, each containing 3 mg, in 15,750 mL.

Tablets = 8

Weight of each tablet = 3 mg

Total wight of tablets = 8 × 3 = 24 mg

Total volume = 15,750 mL.

1 mL = 1000 mg

Total volume = 15,750000 mg

We need to find the ratio strength (w/v).

Ratio=\frac{\text{Total wight of tablets}}{\text{Total volume}}

Ratio=\frac{24}{15,750000}

Ratio=\frac{1}{656250}​

Therefore, the ratio strength (w/v) is 1 : 656250.

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3 years ago
A researcher wants to test if the rate of smoking among adults in Chicago is greater than the national rate of 18%. A random sam
AlekseyPX

Answer:

the most conservative hypothesis is

<em>H₀</em>: <em>p</em> = 0.18, <em>Hₐ</em>: <em>p</em> > 0.18.

Step-by-step explanation:

The researcher wants to test whether the rate of smoking among adults in Chicago is greater than the national rate of 18% or not.

The hypothesis for this test can be defined as follows:

Null Hypothesis (H_{o}): The rate of smoking among adults in Chicago is same as the national rate, i.e. <em>p</em> = 0.18.

Alternate Hypothesis (H_{a}): The rate of smoking among adults in Chicago is greater than the national rate, i.e. <em>p</em> > 0.18.

So the most conservative hypothesis is <em>H₀</em>: <em>p</em> = 0.18, <em>Hₐ</em>: <em>p</em> > 0.18.

6 0
3 years ago
How many seconds in 10 minutes??
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In 10 minutes it 600 seconds 

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