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2 years ago

What value of x makes the denominator of the function equal zero? y=7/5x-25

Mathematics

2 answers:

maksim [4K]2 years ago

6 0

5 because 5*5 equals 25 and 25-25 equals 0.

fgiga [73]2 years ago

3 0

The answer is 35 because if you plug in the 35 it makes it zero.

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2 years ago

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A study of 40 English composition professors showed that they spent, on average, 13 minutes correcting a student's term paper. T

photoshop1234 [79]

Answer:

90% confidence interval for the mean grading time of all composition papers.

(12.47981 , 13.52019)

Appropriate inequality

The interval is ( 12.47981 < μ < 13.52019)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 40

Mean of the sample = 13 minutes

standard deviation = 2 min

level of significance = 0.10 or 90%

90% confidence interval for the mean grading time of all composition papers.

$( x^{-} - Z_{0.1} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )$

$( 13 - 1.645 \frac{2}{\sqrt{40} } , 13 +1.645 \frac{2}{\sqrt{40} } )$

( 13 - 0.52019 , 13 + 0.52019)

(12.47981 , 13.52019)

The interval is ( 12.47981 < μ < 13.52019)

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2 years ago

The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function

svp [43]

Answer:

$r=22.07\ in$

Step-by-step explanation:

The correct function is

$m(r)=7.188\pi r^{2}$

we have

System of equations

$m=7.188\pi r^{2}$ -----> equation A

$m=11,000$ -----> equation B

Solve by substitution method

substitute equation B in equation A

$11,000=7.188\pi r^{2}$

Solve for r

Divide by 7.188π both sides

$r^{2}=\frac{11,000}{7.188\pi}$

square root both sides

$r=22.07\ in$

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2 years ago

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3 years ago

Baseballs and softballs com in different sizes for different leagues. If the diameter of a baseball is 3 inches and a softball i

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Answer:

Step-by-step explanation:

Alright, lets get started.

Diameter of baseball is given as 3 inches.

Hence the radius of baseball will be : $\frac{3}{2}=1.5$

Hence the volume of baseball is : $\frac{4}{3}\pir^3$

Hence the volume of baseball is : $\frac{4}{3}\pi1.5^3$

Hence the volume of baseball is : 14.13 inches cube

Now, diameter of softball is given as 3.8 inches.

Hence the radius of softball will be : $\frac{3.8}{2}=1.9$

Hence the volume of baseball is : $\frac{4}{3}\pir^3$

Hence the volume of baseball is : $\frac{4}{3}\pi1.9^3$

Hence the volume of baseball is : 28.72 inches cube

Hence the difference of volumes will be: $28.72-14.13$

Hence the difference of volumes will be 14.59 or 14.6 inches cube

So the answer is 14.6 inches cube. : Answer

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