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Juli2301 [7.4K]
3 years ago
5

Estimate sums and differences of fractions

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0
To estimate this I find it easy to turn the fractions into decimals and then you can easily estimate. To turn a fraction into a decimal divide the numerator by the denominator.
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Find the derivative of f(x)=2arcsin(x-1)
andreev551 [17]
Since \dfrac{\mathrm d}{\mathrm dx}\arcsin x=\dfrac1{\sqrt{1-x^2}, you have

\displaystyle\frac{\mathrm d}{\mathrm dx}2\arcsin(x-1)=2\frac{\mathrm d}{\mathrm dx}\arcsin(x-1)=2\frac{\dfrac{\mathrm d}{\mathrm dx}(x-1)}{\sqrt{1-(x-1)^2}=\frac2{\sqrt{2x-x^2}}
6 0
4 years ago
raymond just got done jumping at super bounce trampoline center. the total cost of his session was$43.25 he had to pay a $7 entr
pav-90 [236]
43.25=7+1.25t
 answer: 29 minutes
5 0
3 years ago
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Which equation and variable would be easiest to solve for in order to solve the system by substitution? y + x = 3 5x + 3y = -1
notsponge [240]

Answer:

Use y + x = 3 and solve for either x or y.

Step-by-step explanation:

Substitution is a method to solve a system of equations by substituting an expression from one equation into the other.

To begin, first solve one equation by isolating for one variable. Choose the equation which will have the least number of steps to do so.

y + x = 3 can be solve for x or y by subtracting the other variable. Since this only requires one step use this equation. Either variable can be used.

4 0
4 years ago
A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
aniked [119]

Answer:

Step-by-step explanation:

given that

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

Each box of cereal is supposed to contain 13 ounces of cereal.

A random sample of 31 boxes is tested.

The average weight is 12.58 ounces and the standard deviation is 0.25 ounces.

Sample mean = 12.58

Sample std deviation = 0.25

Sample size = 31

Sample std error = \sqrt{\frac{0.25}{\sqrt{31} } } \\=0.0449

confidence interval can be calculated using t critical value because population sd is not known.

df = 30

t critical for two tailed = 1.697

Margin of error = 1.697*0.0449\\=0.07620

conidence interval = (12.58-0.0762, 12.58+0.0762)\\=(12.5038, 12.6562)

Since this does not contain 13 oz. we reject the claim that each box contains exactly 13 oz.

4 0
4 years ago
A paddle wheel on a boat is 12 feet in diameter. The fins along the outer edge travel at
irina1246 [14]

Answer:

Explanation:

First, we must determine the circumference of the paddle wheel.

The formula for the circumference of a circle is:

c

=

2

π

r

Where  

r

is the radius of the circle.

However, we know  

d

=

2

r

where  

d

is the diameter of the circle.

Therefore:

c

=

2

r

π

=

d

π

Substituting  

12

ft

for  

d

gives a circumference of:

c

=

12

π

ft

The time it takes to complete 1 revolution can be found using the formula:

t

=

d

s

Where:

t

is the time it takes: what we are solving for in this problem.

d

is the distance traveled: we calculated this as  

12

π

ft

s

is the speed traveled: from the problem we know this is  

7.2

ft

sec

Substituting and calculating  

t

gives:

t

=

12

π

ft

7.2

ft

sec

t

=

12

π

ft

sec

7.2

ft

t

=

12

π

ft

sec

7.2

ft

t

=

12

π

sec

7.2

t

=

1

.

¯

6

π

sec

Two find how long it would take for 100 revolutions we can multiply this time by  

100

100

×

1

.

¯

6

π

sec

⇒

166

.

¯

6

π

sec

If a number is required for the answer we can use 3.14 as an estimate for  

π

giving:

166

.

¯

6

π

sec

⇒

166

.

¯

6

×

3.14

sec

⇒

523

sec

Step-by-step explanation:

6 0
3 years ago
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