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3 years ago

5×5×5×5 as an exponent

Mathematics

2 answers:

UNO [17]3 years ago

5 0

5^4 power. We can identify this because 5 is multiplying itself 4 times.

Hope this helps!

aleksley [76]3 years ago

4 0

5 to the second power is 4^4 or 5*5*5*5=625

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The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

Solve for x. Enter your answer in interval notation using grouping symbols X^2 + 5x < 24

icang [17]

I think the correct answer would be : (-8,3）
I hope this helps !

7 0

3 years ago

Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m

Natasha_Volkova [10]

Answer:

The answer is C. 0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = $x.$

Commision on her sales = 8%.

And one day = $r.$

Now, to get the equation Oprah made in one day:

$r=\$156.00+8\%\ of\ x.$

$r=\$156.00+\frac{8}{100} \times x$

$r=\$156.00+0.08\times x$

$r=\$156.00+0.08x$

$r=0.08x+\$156.00$

$0.08x+\$156.00=r$

Thus, the equation is $0.08x+\$156.00=r.$

Therefore, the answer is C. 0.08x + $156.00 = r.

5 0

3 years ago

Add or subtrack 1. -16 +21 2.-13--12 3.-23-(-8)

konstantin123 [22]

Answer:

1. subtract

2. add

3. add

4 0

3 years ago

Read 2 more answers

You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. An

IgorLugansk [536]

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline

8 0

3 years ago

Read 2 more answers