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Genrish500 [490]
3 years ago
10

Write a model for the statement V varies jointly as h and the fifth power of r. Group of answer choices LaTeX: V=khr^5 V = k h r

5 LaTeX: V=\frac{1}{khr^5} V = 1 k h r 5 LaTeX: V=5khr V = 5 k h r LaTeX: V=kh+kr^5 V = k h + k r 5 LaTeX: V=\frac{kh}{r^5}
Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

Option A)

V = khr^5

Step-by-step explanation:

We are given the following in the question:

V varies jointly as h and the fifth power of r.

V\propto h\\V\propto r^5

Combing the two equations, we get,

V\propto hr^5

Now, removing the sign of proportionality and adding the constant of proportionality, we get,

V = khr^5

where k is the constant of proportionality.

Thus, the correct answer is

Option A)

V = khr^5

You might be interested in
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
3 years ago
Can someone help if you can’t tell I suck at math?
Ad libitum [116K]

Answer:

Step-by-step explanation:

1. There will be 9 roses in total.  

Probability Orange: 2/9

Probability Yellow: 3/9 = ⅓  

Probability Pink: 4/9

2. 4/7 as there are 7 bowls in total and 4 are chocolate.  

3. 4/10 = ⅖ (simplified) There are 10 fruits in total and 4 are apples.  

4. 5/15 = ⅓ (simplified) There are 15 cars in total and 5 or them are cooper minis.

5. 2/6 = ⅓ (simplified) There are 6 textbooks and 2 of  them are math.  

6. 13/20 There are 20 drinks and 13 of them are lemonade.  

7. There are 10 toys in total.  

Probability toy cars: 3/10

Probability dolls: 2/10 = ⅕ (simplified)  

Probability balls: 5/10 = ½ (simplified)  

8. In total the number of red roses and lilies are 7. There are 10 flowers in total so the number of jasmines are 3. Therefore the probability of getting a jasmine is 3/10  

9. 20/50 = ⅖ (simplified) There are 50 papers in total and 20 of them are yellow.  

10. 8/18 = 4/9 (simplified) There are 18 buses and 8 of them are air conditioned.  

8 0
3 years ago
The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?
lana [24]

Answer:

The number of boys in the school is;

625

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

5\colon4

And there are 500 girls in the school.

The number of boys in the school will be;

\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}

Therefore, the number of boys in the school is;

625

3 0
1 year ago
Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes. What is the total numb
ladessa [460]

Answer:

Option D - 60

Step-by-step explanation:

Given : Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes.

To find : What is the total number of straws Connor used to make all the shapes?              

Solution :

To make 1 shape Connor required 5 straws.

To make 9 shape connor required 9\times 5=45 straws.

Now, there were 45 straws.

Conor used 15 more straws to make more shapes.

The total number of straws Connor used to make all the shapes are

45+15=60

Therefore, Option D is correct.

Cannor used 60 straws to make shapes.

3 0
3 years ago
Consider continuous functions f, g, h, and k. Then complete the statements.
solmaris [256]

Answer:

g and g

Step-by-step explanation:

just did

4 0
2 years ago
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