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ser-zykov [4K]
3 years ago
6

The formula for the volume of a cylinder with a height of 5 units is v(r)=5(3.14)r^2 where r is the radius of the cylinder. In w

hich quadrant(s) is the graph of this function V(r)?
Mathematics
2 answers:
Anika [276]3 years ago
8 0

Answer: The graph of this function V(r) is in the I (first) quadrant.

Solution:

V(r)=5(3.14)r^2

V(r)=15.7r^2

The graph of this function is a parabola with vertex at the origin and opens upward (I and II quadrants), but the radius is a positive number (right to the y-axis), then the graph of this function is in the I (first) quadrant.

kipiarov [429]3 years ago
3 0
V =12 pi R to the 3rd power
V = pi R to the 2nd power H 
H= 12 pi r to the 3rd power
V = 12 pi r to the 3rd power


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In the problem 10 − 4 = 6, what's thecorrect term for the number 4? 
Lady bird [3.3K]
In a subtraction problem, you have the minuend, subtrahend and the difference.

The minuend is the number that's being subtracted.

The subtrahend is the number doing the subtraction.

The difference is the answer to the subtraction problem.
5 0
3 years ago
Find the midpoint of (1,8) and (9,6)
Anon25 [30]

Answer:

(5,7)

Step-by-step explanation:

(1,8)

(9,6)

x+x= 9+1=10

y+y= 8+6=14

ans. divide by 2

(5,7)

4 0
3 years ago
The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne
Aloiza [94]

Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0
3 years ago
1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0
3 years ago
What is 0.4 as a simplified fraction
mestny [16]

Answer: 2/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.

So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.

Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.

5 0
3 years ago
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