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REY [17]
3 years ago
9

Question 18 Write an equation that expresses the following relationship. varies directly with and inversely with In your equatio

n, use as the constant of proportionality.
Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Answer:

d=\frac{kw}{p^2 }

where k is the constant of proportionality.

Step-by-step explanation:

The original question is

d varies directly with w and inversely with the square of p

k is always the constant of proportionality

d varies directly with x so we multiply 'w' in the numerator

for inversely proportional we put the square of  p in the denominator

so the equation becomes

d=\frac{kw}{p^2 }

where k is the constant of proportionality.

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Claudia is reading a book that has 360 pages.She read some of the book last week.She plans to read 46 pages today.When she does,
Ne4ueva [31]

Answer:

242 pages.

Step-by-step explanation:

Let x represent number of pages that Claudia read last week.

We have been given that Claudia is reading a book that has 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does,she will be 4/5 of the way through the book.

The number of total page left after reading 46 pages and x pages last week will be equal to 4/5 of 360.

We can represent this information in an equation as:

x+46=\frac{4}{5}\cdot 360

Let us solve for x.

x+46=4\cdot 72

x+46=288

x+46-46=288-46

x=242

Therefore, Claudia read 242 pages last week.

3 0
3 years ago
In an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin,
AleksandrR [38]

Answer:

Step-by-step explanation:

Given that in an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin, and a second group was given a placebo. A sample consisting of 50 women who received aspirin has mean arterial blood pressure 120mmHg and standard deviation 10mmHg; a sample of 42 women who were given the placebo has mean blood pressure 115mmHg and standard deviation 12mmHg.

Population variances are equal

H_0: \bar x = \bar y\\H_a: \bar x \neq \bar y

(two tailed test at 5% significance level)

Here x denotes group I and Y group II

                  N       Mean     StDev SE Mean

Sample 1   50     120      10  1.4142

Sample 2 42       115      12  1.8516

Pooled std deviation = 10.9565

df=80

Mean difference= 5

Test statistic t = mean diff/std error = \frac{5}{2.3299}=2.1803

p value = 0.0318

since p <0.05 we reject H0

b) We find p >0.01 hence at 1% significance level we accept H0

This implies that 99% confidence interval contains mean difference =0

4 0
4 years ago
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fenix001 [56]

Answer:

Your tip was $7.25 so you payed a total of $36.25 on your $29 bill.

6 0
4 years ago
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Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 5cm/min and the oth
Firlakuza [10]

Answer:

.    。    •   ゚  。   .

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 ゚   Red was not An Impostor.  。 .

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Step-by-step explanation:

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What is the missing step in this proof?
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